Olympiades ENSAE - 1er S 2025
Exercice 1
Cet exercice est composé de parties $A$, $B$ et $C$ dans une large mesure indépendantes.
Partie A :
On définit par $A$ l'ensemble des fonctions $f\ :\ [0\;,1]\rightarrow \mathbb{R}$ vérifiant les conditions suivantes :
$\bullet\ $Pour tous réels $\alpha$ et $\beta\in[0\;,1]/\alpha <\beta$ si $f(\alpha)\times f(\beta)\leq 0$ alors il existe au moins $\overline{x}]\alpha\;,\beta[$ tel que $f\left(\overline{x}\right)=0$
$\bullet\ f(x)=f(1)=0$
$\bullet\ $Pour tout $x$ réel de l'intervalle $\left[0\;,\dfrac{7}{10}\right]\;,f\left(x+\dfrac{3}{10}\right)\neq f(x)$
Soit $f$ un élément de $A.$
On définit une fonction $h\ :\ \left[0\;,\dfrac{7}{10}\right]\rightarrow\;,\mathbb{R}$ donnée par : $h(x)=f\left(x+\dfrac{3}{10}\right)-f(x)$, pour tout $x\left[0\;,\dfrac{7}{10}\right]$
On suppose que h vérifie la condition $(1)$
$(1)$ Montrer que $h(x)$ est de signe constant sur $[0\;,\dfrac{7}{10}]$
$(2)$ Démontrer que l'équation $f(x)=0$ admet au moins sept solutions sur $[0\;,\dfrac{7}{10}]$
Partie B :
Les martiens sont les habitants, en nombre éventuellement infini, de la planète Mars.
Vis à vis d'eux-mêmes et de leurs semblables, les martiens sont capables de ressentir deux types d'émotions, qu'ils appellent amour et respect.
Il a été observé que :
$\bullet\ $Chaque martien aime un et un seul martien, et respecte un et un seul martien.
$\bullet\ $Si $A$ aime $B$, alors tout martien qui respecte $A$ aime également $B$
$\bullet\ $ Si $A$ respecte $B$, alors tout martien qui aime $A$ respecte également $B.$
$\bullet\ $Chaque martien est aimé d'au moins un martien.
On se propose de vérifier s'il est vrai que chaque martien respecte le martien qu'il aime.
Pour chaque martien $x$ , on désigne respectivement par $f(x)$ et $g(x)$ les martiens aimés et respectés par $x$
$(1)$ Montrer que les fonctions $f$ et $g$ sont bien définies de l'ensemble $X$ des martiens sur lui-même.
$(2)$ Montrer que $f[g(x)]=f(x)$ et $g[f(x)]=g(x)$ pour tout $x$ dans $X$
$(3)$ Montrer finalement que, pour tout $x$, on a $f(x)=g(x)=x$
$(4)$ Conclure !
Partie C :
Soit $n\in\mathbb{N}^{\ast}$, $m_{1}$, $m_{2}$, $\ldots$, $m_{n}$ des réels et $\mathrm{e}_{1}$, $\mathrm{e}_{2}$, $\ldots$, $\mathrm{e}_{n}$
des réels strictement, positifs on a :
$$\begin{array}{rcl}\dfrac{m_{1}^{2}}{\mathrm{e}_{1}}+\dfrac{m_{2}^{2}}{\mathrm{e}_{2}}+\ldots+\dfrac{m_{n}^{2}}{\mathrm{e}_{2}}\geq\dfrac{\left(m_{1}+m_{2}+\ldots+m_{n}\right)^{2}}{\mathrm{e}_{1}+\mathrm{2}+\ldots+\mathrm{e}_{n}}\end{array}$$
Cette inégalité est connue sous le nom de l'inégalité des Mauvais Élèves $(IME)$
En appliquant l'$IME$, montrer que :
$(1)$ Si $a_{1}$, $a_{2}$, $\ldots$, $a_{n}$ sont $n$ réels strictement positifs alors :
$\dfrac{1}{a_{1}}+\dfrac{1}{a_{2}}+\ldots+\dfrac{1}{a_{n}}\geq\dfrac{n^{2}}{a_{1}+a_{2}+\ldots+a_{n}}$
$(2)$ Si $a$, $b$ et $c$ sont $3$ réels strictement positifs alors :
$\dfrac{a}{a+2c}+\dfrac{b}{b+2a}+\dfrac{c}{c+2b}\geq 1$
$(3)$ Si $x$, $y$ et $z$ sont réels strictement positifs tels que : $\dfrac{1}{x+1}+\dfrac{1}{y+1}+\dfrac{1}{z+1}=1$ alors $xyz\geq 8$
On considère la figure suivante où $ABMN$ et $ARSC$ sont des carrés construits à partir du triangle $ABC$
On construit en outre le parallélogramme $ANA'R$
1. a. Démontrer que $\left(AA'\right)$ est une hauteur du triangle $ABC$
b. Démontrer que $AA'=BC$
2. On considère les parallélogramme $NARA'$, $QBMB'$ et $SCPC'$
Justifier que $\left(AA'\right)$, $\left(BB'\right)$ et $\left(CC'\right)$ sont concourantes.
b. Démontrer que dans un triangle $ABC$, si $M$ désigne le milieu de $[BC]$ alors : $AB^{2}+ac^{2}=2\left(BM^{2}+AM^{2}\right)$ (Théorème d'Apollonius).
c. En déduire que $NR^{2}+QM^{2}+SP^{2}=3\left(AB^{2}+AC^{2}+BC^{2}\right)$
Exercice 3
$\mathbb{R}$ désigne l'ensemble des nombres réels.
Dans ce problème, on cherche à déterminer les applications $f$ définies sur $]0\ ;\ +\infty[$ et à valeurs dans $]0\ ;\ +\infty[$ vérifiant les deux propriétés suivantes :
$\bullet\ $pour tous nombres réels strictement positifs $x$ et $y$, $f[xf(y)]=yf(x)$ ;
$\bullet\ f$ est bornée sur $[1\ ;\ +\infty[$ il existe un nombre réel $A$ tel que pour tout nombre réel $x\geq 1$, $f|f(x)|\leq A$
Partie I
Soit $I$ un intervalle de $\mathbb{R}$ et soit $h$ une application définie sur $I$ et à valeurs dans $I$
On dit que est $h$ une involution de $I$ si pour tout nombre réel $x$ dans $I\;,h[h(x)]=x$
1. Donner un exemple d'involution de $\mathbb{R}$ dans R autre que l'identité.
2. Donner un exemple d'involution de $]0\ ;\ +\infty[$ dans $]0\ ;\ +\infty[$ autre que l'identité.
3. Montrer qu'une involution de $I$ dans $I$ est bijective.
Partie II
Soit $f$ une fonction vérifiant les deux conditions citées au début de l'énoncé.
1. Soit deux nombres réels $y_{1}$, $y_{2}$ strictement positifs tels que $f\left(y_{1}\right)=f\left(y_{2}\right).$
Montrer que $y_{1}f(1)=y_{2}f(1)$
2. Montrer que $f$ est injective.
3. Montrer que $f[f(1)]=f(1)$ puis $f(1)$ puis que $f(1)=1$
4. Montrer que $f$ est une involution de $]0\ ;\ +\infty[$
5. Soient $a$ et $b$ deux réels strictement positifs.
Montrer que $f(ab)=ff(a)f(b)$
Indication : on pourra poser $b=f(y)$
Partie III
On note $F$ l'ensemble des points fixes de $f$ : $F=\lbrace x\in]0\ ;\`+\infty\left[/f(x)=x\right\rbrace$
1) Montrer que pour tout $x\in]0\ ;\ +\infty[\;,xf(x)$ est un élément de $F.$
2. Montrer que $1$ est un élément de $F.$
3. Montrer que si $x$ et $y$ sont des éléments de $F$, alors $xy$ et $\dfrac{x}{y}$
sont également des éléments de $F.$
4. Montrer que si $x$ est un élément de $F$, alors pour tout entier naturel $n$, $xn$ est un élément de $F$
5. Montrer que si $x$ est un élément de $F$, alors $x=1$
Indication : on pourra considérer l'application : $\mathbb{N}\rightarrow \mathbb{N}$ définie par $x_{n}x^{n}$
6. Montrer que $F=\lbrace 1\rbrace$
7. En déduire $f.$
8. Donner enfin toutes les applications répondant au problème posé.
Commentaires
FrankTom (non vérifié)
ven, 08/22/2025 - 16:52
Permalien
How one Long Island school district became the epicenter of Trum
It’s no secret how President Donald Trump feels about sports teams turning away from Native American mascots. He’s repeatedly called for the return of the Washington Redskins and Cleveland Indians, claiming their recent rebrands were part of a “woke” agenda designed to erase history.
But one surprising team has really gotten the president’s attention: the Massapequa Chiefs.
The Long Island school district has refused to change its logo and name under a mandate from New York state banning schools from using team mascots appropriating Indigenous culture. Schools were given two years to rebrand, but Massapequa is the lone holdout, having missed the June 30 deadline to debut a new logo.
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The district lost an initial lawsuit it filed against the state but now has the federal government on its side. In May, Trump’s Department of Education intervened on the district’s behalf, claiming the state’s mascot ban is itself discriminatory.
Massapequa’s Chiefs logo — an American Indian wearing a yellow feathered headdress — is expected to still be prominently displayed when the fall sports season kicks off soon, putting the quiet Long Island hamlet at the center of a political firestorm.
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The district is now a key “battleground,” said Oliver Roberts, a Massapequa alum and the lawyer representing the school board in its fresh lawsuit against New York claiming that the ban is unconstitutional and discriminatory.
The Trump administration claims New York’s mascot ban violates Title VI of the Civil Rights Act of 1964, which prohibits recipients of federal funds from engaging in discriminatory behavior based on race, color or national origin — teeing up a potentially precedent-setting fight.
The intervention on behalf of Massapequa follows a pattern for a White House that has aggressively applied civil rights protections to police “reverse discrimination” and coerced schools and universities into policy concessions by withholding federal funds.
“Our goal is to assist nationally,” Roberts said. “It’s us putting forward our time and effort to try and assist with this national movement and push back against the woke bureaucrats trying to cancel our country’s history and tradition.”
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Bryannab (non vérifié)
ven, 08/22/2025 - 17:57
Permalien
Trump tells Zelensky to give up Crimea and never join NATO
What we're covering
• Zelensky in Washington: Ukrainian President Volodymyr Zelensky has arrived in Washington, DC, where he will be joined by key European leaders when he meets with Donald Trump this afternoon. Trump says Zelensky must agree to some of Russia’s conditions — including that Ukraine cede Crimea and agree never to join NATO — for the war to end.
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• Potential security guarantees: At last week’s summit with Trump, President Vladimir Putin agreed to allow security guarantees for Ukraine and made concessions on “land swaps” as part of a potential peace deal, US envoy Steve Witkoff told CNN. Zelensky suggested that such guarantees would need to be stronger than those that “didn’t work” in the past. Russia has yet to mention such agreements.
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• Change in tactics: Trump is now focused on securing a peace deal without pursuing a ceasefire due to his progress with Putin, Witkoff said. In seeking this deal, Trump has backed away from his threat of new sanctions on Moscow, despite calls to impose more economic pressure.
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RobertSef (non vérifié)
ven, 08/22/2025 - 18:14
Permalien
Trump tells Zelensky to give up Crimea and never join NATO
What we're covering
• Zelensky in Washington: Ukrainian President Volodymyr Zelensky has arrived in Washington, DC, where he will be joined by key European leaders when he meets with Donald Trump this afternoon. Trump says Zelensky must agree to some of Russia’s conditions — including that Ukraine cede Crimea and agree never to join NATO — for the war to end.
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• Potential security guarantees: At last week’s summit with Trump, President Vladimir Putin agreed to allow security guarantees for Ukraine and made concessions on “land swaps” as part of a potential peace deal, US envoy Steve Witkoff told CNN. Zelensky suggested that such guarantees would need to be stronger than those that “didn’t work” in the past. Russia has yet to mention such agreements.
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• Change in tactics: Trump is now focused on securing a peace deal without pursuing a ceasefire due to his progress with Putin, Witkoff said. In seeking this deal, Trump has backed away from his threat of new sanctions on Moscow, despite calls to impose more economic pressure.
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Williamwek (non vérifié)
ven, 08/22/2025 - 18:22
Permalien
Trump tells Zelensky to give up Crimea and never join NATO
What we're covering
• Zelensky in Washington: Ukrainian President Volodymyr Zelensky has arrived in Washington, DC, where he will be joined by key European leaders when he meets with Donald Trump this afternoon. Trump says Zelensky must agree to some of Russia’s conditions — including that Ukraine cede Crimea and agree never to join NATO — for the war to end.
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• Potential security guarantees: At last week’s summit with Trump, President Vladimir Putin agreed to allow security guarantees for Ukraine and made concessions on “land swaps” as part of a potential peace deal, US envoy Steve Witkoff told CNN. Zelensky suggested that such guarantees would need to be stronger than those that “didn’t work” in the past. Russia has yet to mention such agreements.
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• Change in tactics: Trump is now focused on securing a peace deal without pursuing a ceasefire due to his progress with Putin, Witkoff said. In seeking this deal, Trump has backed away from his threat of new sanctions on Moscow, despite calls to impose more economic pressure.
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OscarFam (non vérifié)
ven, 08/22/2025 - 18:30
Permalien
Trump tells Zelensky to give up Crimea and never join NATO
What we're covering
• Zelensky in Washington: Ukrainian President Volodymyr Zelensky has arrived in Washington, DC, where he will be joined by key European leaders when he meets with Donald Trump this afternoon. Trump says Zelensky must agree to some of Russia’s conditions — including that Ukraine cede Crimea and agree never to join NATO — for the war to end.
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• Potential security guarantees: At last week’s summit with Trump, President Vladimir Putin agreed to allow security guarantees for Ukraine and made concessions on “land swaps” as part of a potential peace deal, US envoy Steve Witkoff told CNN. Zelensky suggested that such guarantees would need to be stronger than those that “didn’t work” in the past. Russia has yet to mention such agreements.
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• Change in tactics: Trump is now focused on securing a peace deal without pursuing a ceasefire due to his progress with Putin, Witkoff said. In seeking this deal, Trump has backed away from his threat of new sanctions on Moscow, despite calls to impose more economic pressure.
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KennethHoich (non vérifié)
ven, 08/22/2025 - 20:18
Permalien
How one Long Island school district became the epicenter of Trum
It’s no secret how President Donald Trump feels about sports teams turning away from Native American mascots. He’s repeatedly called for the return of the Washington Redskins and Cleveland Indians, claiming their recent rebrands were part of a “woke” agenda designed to erase history.
But one surprising team has really gotten the president’s attention: the Massapequa Chiefs.
The Long Island school district has refused to change its logo and name under a mandate from New York state banning schools from using team mascots appropriating Indigenous culture. Schools were given two years to rebrand, but Massapequa is the lone holdout, having missed the June 30 deadline to debut a new logo.
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The district lost an initial lawsuit it filed against the state but now has the federal government on its side. In May, Trump’s Department of Education intervened on the district’s behalf, claiming the state’s mascot ban is itself discriminatory.
Massapequa’s Chiefs logo — an American Indian wearing a yellow feathered headdress — is expected to still be prominently displayed when the fall sports season kicks off soon, putting the quiet Long Island hamlet at the center of a political firestorm.
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The district is now a key “battleground,” said Oliver Roberts, a Massapequa alum and the lawyer representing the school board in its fresh lawsuit against New York claiming that the ban is unconstitutional and discriminatory.
The Trump administration claims New York’s mascot ban violates Title VI of the Civil Rights Act of 1964, which prohibits recipients of federal funds from engaging in discriminatory behavior based on race, color or national origin — teeing up a potentially precedent-setting fight.
The intervention on behalf of Massapequa follows a pattern for a White House that has aggressively applied civil rights protections to police “reverse discrimination” and coerced schools and universities into policy concessions by withholding federal funds.
“Our goal is to assist nationally,” Roberts said. “It’s us putting forward our time and effort to try and assist with this national movement and push back against the woke bureaucrats trying to cancel our country’s history and tradition.”
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RickyRak (non vérifié)
ven, 08/22/2025 - 20:21
Permalien
How one Long Island school district became the epicenter of Trum
It’s no secret how President Donald Trump feels about sports teams turning away from Native American mascots. He’s repeatedly called for the return of the Washington Redskins and Cleveland Indians, claiming their recent rebrands were part of a “woke” agenda designed to erase history.
But one surprising team has really gotten the president’s attention: the Massapequa Chiefs.
The Long Island school district has refused to change its logo and name under a mandate from New York state banning schools from using team mascots appropriating Indigenous culture. Schools were given two years to rebrand, but Massapequa is the lone holdout, having missed the June 30 deadline to debut a new logo.
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The district lost an initial lawsuit it filed against the state but now has the federal government on its side. In May, Trump’s Department of Education intervened on the district’s behalf, claiming the state’s mascot ban is itself discriminatory.
Massapequa’s Chiefs logo — an American Indian wearing a yellow feathered headdress — is expected to still be prominently displayed when the fall sports season kicks off soon, putting the quiet Long Island hamlet at the center of a political firestorm.
<a href=https://kra---39cc.ru>kra39</a>
The district is now a key “battleground,” said Oliver Roberts, a Massapequa alum and the lawyer representing the school board in its fresh lawsuit against New York claiming that the ban is unconstitutional and discriminatory.
The Trump administration claims New York’s mascot ban violates Title VI of the Civil Rights Act of 1964, which prohibits recipients of federal funds from engaging in discriminatory behavior based on race, color or national origin — teeing up a potentially precedent-setting fight.
The intervention on behalf of Massapequa follows a pattern for a White House that has aggressively applied civil rights protections to police “reverse discrimination” and coerced schools and universities into policy concessions by withholding federal funds.
“Our goal is to assist nationally,” Roberts said. “It’s us putting forward our time and effort to try and assist with this national movement and push back against the woke bureaucrats trying to cancel our country’s history and tradition.”
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https://kra---37-at.ru
ElmerTen (non vérifié)
ven, 08/22/2025 - 20:21
Permalien
How one Long Island school district became the epicenter of Trum
It’s no secret how President Donald Trump feels about sports teams turning away from Native American mascots. He’s repeatedly called for the return of the Washington Redskins and Cleveland Indians, claiming their recent rebrands were part of a “woke” agenda designed to erase history.
But one surprising team has really gotten the president’s attention: the Massapequa Chiefs.
The Long Island school district has refused to change its logo and name under a mandate from New York state banning schools from using team mascots appropriating Indigenous culture. Schools were given two years to rebrand, but Massapequa is the lone holdout, having missed the June 30 deadline to debut a new logo.
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The district lost an initial lawsuit it filed against the state but now has the federal government on its side. In May, Trump’s Department of Education intervened on the district’s behalf, claiming the state’s mascot ban is itself discriminatory.
Massapequa’s Chiefs logo — an American Indian wearing a yellow feathered headdress — is expected to still be prominently displayed when the fall sports season kicks off soon, putting the quiet Long Island hamlet at the center of a political firestorm.
<a href=https://kra-36at.ru>kra38 cc</a>
The district is now a key “battleground,” said Oliver Roberts, a Massapequa alum and the lawyer representing the school board in its fresh lawsuit against New York claiming that the ban is unconstitutional and discriminatory.
The Trump administration claims New York’s mascot ban violates Title VI of the Civil Rights Act of 1964, which prohibits recipients of federal funds from engaging in discriminatory behavior based on race, color or national origin — teeing up a potentially precedent-setting fight.
The intervention on behalf of Massapequa follows a pattern for a White House that has aggressively applied civil rights protections to police “reverse discrimination” and coerced schools and universities into policy concessions by withholding federal funds.
“Our goal is to assist nationally,” Roberts said. “It’s us putting forward our time and effort to try and assist with this national movement and push back against the woke bureaucrats trying to cancel our country’s history and tradition.”
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ven, 08/22/2025 - 22:39
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sam, 08/23/2025 - 01:41
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sam, 08/23/2025 - 02:33
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sam, 08/23/2025 - 03:33
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sam, 08/23/2025 - 13:46
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Russia's continued attacks show why "reliable
Ukrainian President Volodymyr Zelensky condemned Russian attacks on the Ukrainian regions of Kharkiv, Zaporizhzhia and Sumy on Monday, saying that the Kremlin intends to “humiliate diplomatic efforts” just hours before European leaders visit the White House.
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“The Russian war machine continues to destroy lives despite everything,” Zelensky said in a statement, hours before he’s due to meet US President Donald Trump in the Oval Office. “That is precisely why we are seeking assistance to put an end to the killings. That is why reliable security guarantees are required. That is why Russia should not be rewarded for its participation in this war.”
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“Everyone seeks dignified peace and true security,” the Ukrainian president said. “And at this very moment, the Russians are attacking Kharkiv, Zaporizhzhia, the Sumy region, and Odesa, destroying residential buildings and our civilian infrastructure.”
At least seven people were killed in Russia’s attack? on Kharkiv and a further three killed in the ballistic missile strike on the city of Zaporizhzhia, with scores more injured, according to Ukrainian authorities.
“This was a demonstrative and cynical Russian strike,” Zelensky added.
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sam, 08/23/2025 - 13:47
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Russia's continued attacks show why "reliable
Ukrainian President Volodymyr Zelensky condemned Russian attacks on the Ukrainian regions of Kharkiv, Zaporizhzhia and Sumy on Monday, saying that the Kremlin intends to “humiliate diplomatic efforts” just hours before European leaders visit the White House.
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“The Russian war machine continues to destroy lives despite everything,” Zelensky said in a statement, hours before he’s due to meet US President Donald Trump in the Oval Office. “That is precisely why we are seeking assistance to put an end to the killings. That is why reliable security guarantees are required. That is why Russia should not be rewarded for its participation in this war.”
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“Everyone seeks dignified peace and true security,” the Ukrainian president said. “And at this very moment, the Russians are attacking Kharkiv, Zaporizhzhia, the Sumy region, and Odesa, destroying residential buildings and our civilian infrastructure.”
At least seven people were killed in Russia’s attack? on Kharkiv and a further three killed in the ballistic missile strike on the city of Zaporizhzhia, with scores more injured, according to Ukrainian authorities.
“This was a demonstrative and cynical Russian strike,” Zelensky added.
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sam, 08/23/2025 - 13:59
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Russia's continued attacks show why "reliable
Ukrainian President Volodymyr Zelensky condemned Russian attacks on the Ukrainian regions of Kharkiv, Zaporizhzhia and Sumy on Monday, saying that the Kremlin intends to “humiliate diplomatic efforts” just hours before European leaders visit the White House.
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“The Russian war machine continues to destroy lives despite everything,” Zelensky said in a statement, hours before he’s due to meet US President Donald Trump in the Oval Office. “That is precisely why we are seeking assistance to put an end to the killings. That is why reliable security guarantees are required. That is why Russia should not be rewarded for its participation in this war.”
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“Everyone seeks dignified peace and true security,” the Ukrainian president said. “And at this very moment, the Russians are attacking Kharkiv, Zaporizhzhia, the Sumy region, and Odesa, destroying residential buildings and our civilian infrastructure.”
At least seven people were killed in Russia’s attack? on Kharkiv and a further three killed in the ballistic missile strike on the city of Zaporizhzhia, with scores more injured, according to Ukrainian authorities.
“This was a demonstrative and cynical Russian strike,” Zelensky added.
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sam, 08/23/2025 - 14:11
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While many visitors come to the area for the otherworldly landscapes of Badlands National Park, roughly 60 miles east of the city, or the wildlife viewing at Custer State Park to the south, the city offers its own unique scenery.
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Two beloved decades-old parks — Dinosaur Park and Storybook Island — have recently been upgraded to be disability accessible. Wheelchair-friendly Dinosaur Park includes seven life-size dinosaur statues and panoramic city views. At Storybook Island, six pieces of playground equipment are wheelchair accessible and have Braille panels and sensory panels for children with autism. The park is renowned for fairy tale character playsets, an antique carousel and a miniature train. Admission to both parks is free.
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Andrewnuaro (non vérifié)
sam, 08/23/2025 - 14:26
Permalien
Russia's continued attacks show why "reliable
Ukrainian President Volodymyr Zelensky condemned Russian attacks on the Ukrainian regions of Kharkiv, Zaporizhzhia and Sumy on Monday, saying that the Kremlin intends to “humiliate diplomatic efforts” just hours before European leaders visit the White House.
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“The Russian war machine continues to destroy lives despite everything,” Zelensky said in a statement, hours before he’s due to meet US President Donald Trump in the Oval Office. “That is precisely why we are seeking assistance to put an end to the killings. That is why reliable security guarantees are required. That is why Russia should not be rewarded for its participation in this war.”
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“Everyone seeks dignified peace and true security,” the Ukrainian president said. “And at this very moment, the Russians are attacking Kharkiv, Zaporizhzhia, the Sumy region, and Odesa, destroying residential buildings and our civilian infrastructure.”
At least seven people were killed in Russia’s attack? on Kharkiv and a further three killed in the ballistic missile strike on the city of Zaporizhzhia, with scores more injured, according to Ukrainian authorities.
“This was a demonstrative and cynical Russian strike,” Zelensky added.
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Russia's continued attacks show why "reliable
Ukrainian President Volodymyr Zelensky condemned Russian attacks on the Ukrainian regions of Kharkiv, Zaporizhzhia and Sumy on Monday, saying that the Kremlin intends to “humiliate diplomatic efforts” just hours before European leaders visit the White House.
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“The Russian war machine continues to destroy lives despite everything,” Zelensky said in a statement, hours before he’s due to meet US President Donald Trump in the Oval Office. “That is precisely why we are seeking assistance to put an end to the killings. That is why reliable security guarantees are required. That is why Russia should not be rewarded for its participation in this war.”
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“Everyone seeks dignified peace and true security,” the Ukrainian president said. “And at this very moment, the Russians are attacking Kharkiv, Zaporizhzhia, the Sumy region, and Odesa, destroying residential buildings and our civilian infrastructure.”
At least seven people were killed in Russia’s attack? on Kharkiv and a further three killed in the ballistic missile strike on the city of Zaporizhzhia, with scores more injured, according to Ukrainian authorities.
“This was a demonstrative and cynical Russian strike,” Zelensky added.
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<h3>Transaxle vs. Transmission and Differential</h3>
Benwap (non vérifié)
lun, 08/25/2025 - 17:03
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Jamessteax (non vérifié)
mar, 08/26/2025 - 05:13
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A greenway through town
While many visitors come to the area for the otherworldly landscapes of Badlands National Park, roughly 60 miles east of the city, or the wildlife viewing at Custer State Park to the south, the city offers its own unique scenery.
Rapid City borders the Black Hills to the west and prairie grasslands to the east. Rapid Creek meanders through town and an adjacent greenway connects much of the city’s 1,650 acres of park land.
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Two beloved decades-old parks — Dinosaur Park and Storybook Island — have recently been upgraded to be disability accessible. Wheelchair-friendly Dinosaur Park includes seven life-size dinosaur statues and panoramic city views. At Storybook Island, six pieces of playground equipment are wheelchair accessible and have Braille panels and sensory panels for children with autism. The park is renowned for fairy tale character playsets, an antique carousel and a miniature train. Admission to both parks is free.
https://tripskan40.cc
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Mountain bikers and hikers favor the panoramic views from trails within the 150-acre Skyline Wilderness Area, or from spots along the more than 20 miles of trails in Hanson-Larsen Memorial Park, where M Hill pays tribute to science and engineering university South Dakota Mines. All of these trails are located within city limits.
Jason Kingsbury is a tourist-turned-resident who relocated largely because of the city’s outdoor recreation. Kingsbury is an avid camper, mountain biker and fly fisherman.
“I was absolutely blown away with how much there is to do in Rapid City,” Kingsbury said. Accessing outstanding outdoor recreation in just minutes is unique, he said.
“A lot of people do not have that experience. They can go to Memorial Park and ride world-class (trails). They can ride there from their hotel — that really impresses people,” Kingsbury said.
“What a lot of people always say is ‘I can’t believe how cool this is. I never thought South Dakota had things like this,’” he said. “They realize real quickly we’re far more than just Mount Rushmore.”
GeorgeCub (non vérifié)
mar, 08/26/2025 - 05:27
Permalien
Irate parents turn to legal action over the marketing of so-call
For people who cannot or choose not to breastfeed, infant formula is lifesaving, supplying their babies with precious nutrients they need to grow and thrive.
Concerned about contaminants and the use of controversial seed oils in the nation’s tightly regulated infant formula supply, US Health and Human Services Secretary Robert F. Kennedy Jr. has launched a review of infant formula regulations he calls Operation Stork Speed.
<a href=https://trip-scan39.cc>трипскан</a>
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
https://trip-scan39.cc
трипскан
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
In fact, some toddler beverages may be potentially harmful to young children due to excess added sugars, defined as sweeteners that don’t naturally occur in food, Fuchs said.
The recommended amount of added sugar for infants and children younger than age 2 is zero, according to the US Centers for Disease Control and Prevention. Yet research from 2019 found that on average, infants consume 1 teaspoon of added sugar a day while toddlers consume about 6 teaspoons a day.
“Infants and children exposed to high sugar, fat or salt in their diets develop a preference for these as they grow older,” Fuchs said. “Studies show this is a risk for childhood obesity and all of its consequences through adulthood.”
JosephNus (non vérifié)
mar, 08/26/2025 - 06:23
Permalien
Irate parents turn to legal action over the marketing of so-call
For people who cannot or choose not to breastfeed, infant formula is lifesaving, supplying their babies with precious nutrients they need to grow and thrive.
Concerned about contaminants and the use of controversial seed oils in the nation’s tightly regulated infant formula supply, US Health and Human Services Secretary Robert F. Kennedy Jr. has launched a review of infant formula regulations he calls Operation Stork Speed.
<a href=https://trip-scan39.cc>tripscan</a>
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
https://trip-scan39.cc
трипскан
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
In fact, some toddler beverages may be potentially harmful to young children due to excess added sugars, defined as sweeteners that don’t naturally occur in food, Fuchs said.
The recommended amount of added sugar for infants and children younger than age 2 is zero, according to the US Centers for Disease Control and Prevention. Yet research from 2019 found that on average, infants consume 1 teaspoon of added sugar a day while toddlers consume about 6 teaspoons a day.
“Infants and children exposed to high sugar, fat or salt in their diets develop a preference for these as they grow older,” Fuchs said. “Studies show this is a risk for childhood obesity and all of its consequences through adulthood.”
JamesSkits (non vérifié)
mar, 08/26/2025 - 06:38
Permalien
Irate parents turn to legal action over the marketing of so-call
For people who cannot or choose not to breastfeed, infant formula is lifesaving, supplying their babies with precious nutrients they need to grow and thrive.
Concerned about contaminants and the use of controversial seed oils in the nation’s tightly regulated infant formula supply, US Health and Human Services Secretary Robert F. Kennedy Jr. has launched a review of infant formula regulations he calls Operation Stork Speed.
<a href=https://trip-scan39.cc>трипскан сайт</a>
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
https://trip-scan39.cc
tripscan top
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
In fact, some toddler beverages may be potentially harmful to young children due to excess added sugars, defined as sweeteners that don’t naturally occur in food, Fuchs said.
The recommended amount of added sugar for infants and children younger than age 2 is zero, according to the US Centers for Disease Control and Prevention. Yet research from 2019 found that on average, infants consume 1 teaspoon of added sugar a day while toddlers consume about 6 teaspoons a day.
“Infants and children exposed to high sugar, fat or salt in their diets develop a preference for these as they grow older,” Fuchs said. “Studies show this is a risk for childhood obesity and all of its consequences through adulthood.”
Forrestmop (non vérifié)
mar, 08/26/2025 - 07:26
Permalien
Irate parents turn to legal action over the marketing of so-call
For people who cannot or choose not to breastfeed, infant formula is lifesaving, supplying their babies with precious nutrients they need to grow and thrive.
Concerned about contaminants and the use of controversial seed oils in the nation’s tightly regulated infant formula supply, US Health and Human Services Secretary Robert F. Kennedy Jr. has launched a review of infant formula regulations he calls Operation Stork Speed.
<a href=https://trip-scan39.cc>tripscan top</a>
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
https://trip-scan39.cc
tripscan top
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
In fact, some toddler beverages may be potentially harmful to young children due to excess added sugars, defined as sweeteners that don’t naturally occur in food, Fuchs said.
The recommended amount of added sugar for infants and children younger than age 2 is zero, according to the US Centers for Disease Control and Prevention. Yet research from 2019 found that on average, infants consume 1 teaspoon of added sugar a day while toddlers consume about 6 teaspoons a day.
“Infants and children exposed to high sugar, fat or salt in their diets develop a preference for these as they grow older,” Fuchs said. “Studies show this is a risk for childhood obesity and all of its consequences through adulthood.”
Shawnwoope (non vérifié)
mar, 08/26/2025 - 07:29
Permalien
Irate parents turn to legal action over the marketing of so-call
For people who cannot or choose not to breastfeed, infant formula is lifesaving, supplying their babies with precious nutrients they need to grow and thrive.
Concerned about contaminants and the use of controversial seed oils in the nation’s tightly regulated infant formula supply, US Health and Human Services Secretary Robert F. Kennedy Jr. has launched a review of infant formula regulations he calls Operation Stork Speed.
<a href=https://trip-scan39.cc>tripscan top</a>
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
https://trip-scan39.cc
tripskan
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
In fact, some toddler beverages may be potentially harmful to young children due to excess added sugars, defined as sweeteners that don’t naturally occur in food, Fuchs said.
The recommended amount of added sugar for infants and children younger than age 2 is zero, according to the US Centers for Disease Control and Prevention. Yet research from 2019 found that on average, infants consume 1 teaspoon of added sugar a day while toddlers consume about 6 teaspoons a day.
“Infants and children exposed to high sugar, fat or salt in their diets develop a preference for these as they grow older,” Fuchs said. “Studies show this is a risk for childhood obesity and all of its consequences through adulthood.”
Claudetealt (non vérifié)
mar, 08/26/2025 - 10:30
Permalien
Как найти надежные грузоперевозки
Найти надежные грузоперевозки важно для бизнеса и частных перевозок. В этой статье — практические советы, проверенные методы и критерии выбора.
Определите требования к перевозке
Сначала уточните параметры груза: вес, габариты, ценность, требуемые сроки и условия (температура, хрупкость). Чем точнее описание, тем проще выбрать перевозчика.
Поиск исполнителей
Используйте несколько каналов:
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- Рекомендации от коллег и партнеров.
- Профессиональные форумы и сообщества в социальных сетях.
Сравните предложения по цене, срокам и отзывам.
Оцените репутацию и документы
Проверьте у перевозчика:
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- Страхование ответственности.
- Отзывы клиентов и портфолио задач похожего масштаба.
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Уточните, какой транспорт будет задействован: фуры, тенты, рефрижераторы, автобусы. Проверьте состояние техники, наличие ремней, стяжек, погрузочного оборудования. Для специальных грузов важны сертификаты и опыт работы с аналогичными грузами.
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Заключайте письменный договор, где прописаны сроки, маршрут, условия перевозки, ответственность сторон и порядок урегулирования споров. Требуйте товарно-транспортные документы и акты приема-передачи <a href=http://perevezem-bai.belorussia.su/>http://perevezem-bai.belorussia.su/</a>
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Советы по снижению рисков
- Делайте предварительные тестовые перевозки.
- Выбирайте компании с опытом в вашем сегменте.
- Страхуйте ценное имущество.
- Держите запас времени на случай задержек.
Выбор надежных грузоперевозок требует тщательной проверки, сравнения предложений и ясных договорных условий. Следуя этим шагам, вы минимизируете риски и получите стабильный результат.
Michaelamete (non vérifié)
mar, 08/26/2025 - 10:32
Permalien
площадку для обмена цифровых активов и произвести обмен
площадку для обмена цифровых активов и произвести конвертацию
1. Определите цель операции
Перед выбором криптообменника важно понять, что именно вы планируете перевести — BTC, Ethereum или другие криптовалютные монеты.
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Используйте рейтинг площадки для оценки безопасности платформы.
Проверьте наличие официальных разрешений и открытой информации.
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Разные сервисы могут предлагать выгодный курс.
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Совет
Выбирайте надёжные криптообменники и всегда проверяйте детали транзакций перед подтверждением.
Robertsox (non vérifié)
mar, 08/26/2025 - 11:04
Permalien
Irate parents turn to legal action over the marketing of so-call
For people who cannot or choose not to breastfeed, infant formula is lifesaving, supplying their babies with precious nutrients they need to grow and thrive.
Concerned about contaminants and the use of controversial seed oils in the nation’s tightly regulated infant formula supply, US Health and Human Services Secretary Robert F. Kennedy Jr. has launched a review of infant formula regulations he calls Operation Stork Speed.
<a href=https://trip-scan39.cc>трипскан</a>
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
https://trip-scan39.cc
трипскан сайт
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
In fact, some toddler beverages may be potentially harmful to young children due to excess added sugars, defined as sweeteners that don’t naturally occur in food, Fuchs said.
The recommended amount of added sugar for infants and children younger than age 2 is zero, according to the US Centers for Disease Control and Prevention. Yet research from 2019 found that on average, infants consume 1 teaspoon of added sugar a day while toddlers consume about 6 teaspoons a day.
“Infants and children exposed to high sugar, fat or salt in their diets develop a preference for these as they grow older,” Fuchs said. “Studies show this is a risk for childhood obesity and all of its consequences through adulthood.”
MichaelVat (non vérifié)
mar, 08/26/2025 - 11:37
Permalien
Irate parents turn to legal action over the marketing of so-call
For people who cannot or choose not to breastfeed, infant formula is lifesaving, supplying their babies with precious nutrients they need to grow and thrive.
Concerned about contaminants and the use of controversial seed oils in the nation’s tightly regulated infant formula supply, US Health and Human Services Secretary Robert F. Kennedy Jr. has launched a review of infant formula regulations he calls Operation Stork Speed.
<a href=https://trip-scan39.cc>трипскан вход</a>
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
https://trip-scan39.cc
трипскан сайт
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
In fact, some toddler beverages may be potentially harmful to young children due to excess added sugars, defined as sweeteners that don’t naturally occur in food, Fuchs said.
The recommended amount of added sugar for infants and children younger than age 2 is zero, according to the US Centers for Disease Control and Prevention. Yet research from 2019 found that on average, infants consume 1 teaspoon of added sugar a day while toddlers consume about 6 teaspoons a day.
“Infants and children exposed to high sugar, fat or salt in their diets develop a preference for these as they grow older,” Fuchs said. “Studies show this is a risk for childhood obesity and all of its consequences through adulthood.”
Bruceamite (non vérifié)
mar, 08/26/2025 - 11:37
Permalien
A greenway through town
While many visitors come to the area for the otherworldly landscapes of Badlands National Park, roughly 60 miles east of the city, or the wildlife viewing at Custer State Park to the south, the city offers its own unique scenery.
Rapid City borders the Black Hills to the west and prairie grasslands to the east. Rapid Creek meanders through town and an adjacent greenway connects much of the city’s 1,650 acres of park land.
<a href=https://tripskan40.cc>трип скан</a>
Two beloved decades-old parks — Dinosaur Park and Storybook Island — have recently been upgraded to be disability accessible. Wheelchair-friendly Dinosaur Park includes seven life-size dinosaur statues and panoramic city views. At Storybook Island, six pieces of playground equipment are wheelchair accessible and have Braille panels and sensory panels for children with autism. The park is renowned for fairy tale character playsets, an antique carousel and a miniature train. Admission to both parks is free.
https://tripskan40.cc
трипскан вход
Mountain bikers and hikers favor the panoramic views from trails within the 150-acre Skyline Wilderness Area, or from spots along the more than 20 miles of trails in Hanson-Larsen Memorial Park, where M Hill pays tribute to science and engineering university South Dakota Mines. All of these trails are located within city limits.
Jason Kingsbury is a tourist-turned-resident who relocated largely because of the city’s outdoor recreation. Kingsbury is an avid camper, mountain biker and fly fisherman.
“I was absolutely blown away with how much there is to do in Rapid City,” Kingsbury said. Accessing outstanding outdoor recreation in just minutes is unique, he said.
“A lot of people do not have that experience. They can go to Memorial Park and ride world-class (trails). They can ride there from their hotel — that really impresses people,” Kingsbury said.
“What a lot of people always say is ‘I can’t believe how cool this is. I never thought South Dakota had things like this,’” he said. “They realize real quickly we’re far more than just Mount Rushmore.”
JosephEnace (non vérifié)
mar, 08/26/2025 - 11:43
Permalien
Irate parents turn to legal action over the marketing of so-call
For people who cannot or choose not to breastfeed, infant formula is lifesaving, supplying their babies with precious nutrients they need to grow and thrive.
Concerned about contaminants and the use of controversial seed oils in the nation’s tightly regulated infant formula supply, US Health and Human Services Secretary Robert F. Kennedy Jr. has launched a review of infant formula regulations he calls Operation Stork Speed.
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Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
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Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
In fact, some toddler beverages may be potentially harmful to young children due to excess added sugars, defined as sweeteners that don’t naturally occur in food, Fuchs said.
The recommended amount of added sugar for infants and children younger than age 2 is zero, according to the US Centers for Disease Control and Prevention. Yet research from 2019 found that on average, infants consume 1 teaspoon of added sugar a day while toddlers consume about 6 teaspoons a day.
“Infants and children exposed to high sugar, fat or salt in their diets develop a preference for these as they grow older,” Fuchs said. “Studies show this is a risk for childhood obesity and all of its consequences through adulthood.”
Jamiemex (non vérifié)
mar, 08/26/2025 - 12:19
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JohnnyMoict (non vérifié)
mar, 08/26/2025 - 12:31
Permalien
Irate parents turn to legal action over the marketing of so-call
For people who cannot or choose not to breastfeed, infant formula is lifesaving, supplying their babies with precious nutrients they need to grow and thrive.
Concerned about contaminants and the use of controversial seed oils in the nation’s tightly regulated infant formula supply, US Health and Human Services Secretary Robert F. Kennedy Jr. has launched a review of infant formula regulations he calls Operation Stork Speed.
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Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
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Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
In fact, some toddler beverages may be potentially harmful to young children due to excess added sugars, defined as sweeteners that don’t naturally occur in food, Fuchs said.
The recommended amount of added sugar for infants and children younger than age 2 is zero, according to the US Centers for Disease Control and Prevention. Yet research from 2019 found that on average, infants consume 1 teaspoon of added sugar a day while toddlers consume about 6 teaspoons a day.
“Infants and children exposed to high sugar, fat or salt in their diets develop a preference for these as they grow older,” Fuchs said. “Studies show this is a risk for childhood obesity and all of its consequences through adulthood.”
Georgeideaf (non vérifié)
mar, 08/26/2025 - 12:32
Permalien
Irate parents turn to legal action over the marketing of so-call
For people who cannot or choose not to breastfeed, infant formula is lifesaving, supplying their babies with precious nutrients they need to grow and thrive.
Concerned about contaminants and the use of controversial seed oils in the nation’s tightly regulated infant formula supply, US Health and Human Services Secretary Robert F. Kennedy Jr. has launched a review of infant formula regulations he calls Operation Stork Speed.
<a href=https://trip-scan39.cc>трипскан</a>
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
https://trip-scan39.cc
tripscan
Yet while industry and experts debate those regulations, there is another type of “formula” — for toddlers ages 1 to 3 years old — that no one is overseeing.
“Toddler milks” are marketed to parents who have been using infant formula as a necessary next step in their child’s nutritional journey, according to the American Academy of Pediatrics. Critics say these expensive concoctions — first introduced into the United States in the 1990s — are not nutritionally necessary, may be contributing to childhood obesity, and should not be sold at all.
In fact, some toddler beverages may be potentially harmful to young children due to excess added sugars, defined as sweeteners that don’t naturally occur in food, Fuchs said.
The recommended amount of added sugar for infants and children younger than age 2 is zero, according to the US Centers for Disease Control and Prevention. Yet research from 2019 found that on average, infants consume 1 teaspoon of added sugar a day while toddlers consume about 6 teaspoons a day.
“Infants and children exposed to high sugar, fat or salt in their diets develop a preference for these as they grow older,” Fuchs said. “Studies show this is a risk for childhood obesity and all of its consequences through adulthood.”
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