Math Questions from Dec 14,2024

Browse the Math Q&A Archive for Dec 14,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Write the percent as a decimal. \( 0.046 \%=\square \) Exercice 4 Soit \( f \) la fonction définie par : \( f(x)=x \sqrt{4-x^{2}} \) 1) 2) 2) Etudierminer la parité de la fonction \( f \). 3) Déterminer le signe de \( (f(x))^{2}-4 \) et déduire que la fonction \( f \) admet une valeur maximale sur \( D_{f} \). If the number of professors in a college is P and the number of students S , and there are 11 times as many students as professors, write an algebraic equation that shows the relationship. 4. Eva, Beth, and Cara share the work of mowing 11 lawns that are the same size. Each girl mowed exactly the same area. How many lawns did Beth and Cara do together, in the lowest terms? Exercice 1 Un homme mesurant \( 1,75 \mathrm{~m} \) se tenant droit aux alentours de la tour Eiffel se place de sorte que rombre lui passe juste au -dessus de la tête. Son ombre tombe a \( 2,7 \mathrm{~m} \) de lui et celle-di se trouve à 500 m du centre de la tour Eiffel. Quelle est la hauteur de la tour Eiffel ? (arrondie au metre pres) Los intervalos en los cuales la función \( f(x)=\frac{x}{1+x^{2}} \) es decreciente, son: a. \( (-1,1) \) b. \( (-\infty,-1) \cup(1 .+\infty) \) c. \( (1,+\infty) \) d. \( (-\infty,-1) \) El valor máximo de la función \( y=-2 x^{3}+3 x^{2} \) en el intervalo \( \left[\frac{1}{2}, 2\right] \) es: a. 0 b. 4 c. 2 d. 1 John paid \( \$ 270 \) for a new mountain bicycle to sell in his shop. He wants to price it so that he can offer a \( 10 \% \) discount but still make \( 20 \% \) of the price he paid for it. At what price should the bike be marked? The bike should be marked for \( \$ 360 \). (Round to the nearest dollar as needed.) Use the following English to metric equivalents to convert the given measurement to the unit indieated 1 yd \( =0.9 \mathrm{~m} \) convent 20 m to yd Si \( f(x)=\frac{6}{x^{2}+3} \), entonces la función \( f(x) \) es cóncava hacia arriba en: a. \( (-\infty,-1) \) b. \( (1,+\infty) \) c. \( (-1,1) \) d. \( (-\infty,-1) \cup(1,+\infty) \)
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