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Hogar Banco de preguntas Matemáticas Archive 2025 February 05

Math Questions from Feb 05,2025

Browse the Math Q&A Archive for Feb 05,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Name Trip to the Mountains The Hiking club is on a trip to hike up a mountain. Problem 1 The members increased their elevation 290 feet during their hike this morning. Now they are at an elevation of 450 feet. a. Explain how to find their elevation before the hike. b. Han says the equation \( e +290=450 \) describes the situation. What does the variable \( e \) represent? c. Han says that he can rewrite his equation as \( e=450+(-290) \) to solve for \( e \). Compare Han's strategy to your strategy for finding the beginning elevation. \( \begin{array}{ll}\begin{array}{l}\text { Match the graph } \\ \text { with its system. }\end{array} & \text { a. }\left\{\begin{array}{l}x>-4 \\ y \leq-1\end{array}\right. \\ \text { b. }\left\{\begin{array}{c}x \geq 2 \\ y+x \leq 5\end{array}\right. \\ \text { c. }\left\{\begin{array}{l}y \geq 2 x+1 \\ y \leq-x+1\end{array}\right. \\ \text { d. }\left\{\begin{array}{l}y-x<1 \\ y-x>3\end{array}\right. \\ \text { e. }\left\{\begin{array}{l}2 x+y \leq 4 \\ 3 x-y \geq 6\end{array}\right.\end{array} \) What is the value of \( f(5) \) in the function below? \( f(x)=\frac{1}{4} \cdot 2^{x} \) A. 16 B. 32 C. \( \frac{5}{2} \) D. 8 Use graphing technology to find the range of the function \( f(x)=-|x+2|-2 \). Answer Attempt 1 out of 2 \( \begin{array}{llll}\square & \text { (,) }\end{array} \) \( \left(x^{2}+1+x\right)\left(x^{2}-x-1\right) \) es igual a: Which of the following functions represents a natural log function? \( \begin{array}{l}\text { <i>y</i>=}=\ln (<i>x</ i>) \\ <i>y</ i>=\log (<i>x</ i>) \\ <i>y</ i>=<i>e<\sup >x</ \text { sup }></ i> \\ <i>y</ i>=<i>e<s u p>r t</ \text { sup }></ i>\end{array} \) Fill in the parts-whole model for the following equation. \[ \left(-x^{3}+2 x^{2}+6 x+2\right)+\left(2 x^{3}-5 x^{2}-9 x+1\right)=(\square) \] \[ \square \] Screen Time Americans spend an average of 7 hours a day looking at a screen. Assume the variable is approximately normally distributed and the standard deviation is 1.1 hours. Find the time limits for the middle \( 44 \% \) of screen viewers. Use 9 The Standard Normal Distribution Table. Round your answers to at least three decimal places. The lower and upper limits for the middle \( 44 \% \) of screen times are Circle the lesser expression. \( \begin{array}{ll}\text { 2. } 7 \times \frac{9}{10} \text { or } 7 \times \frac{5}{2} & \text { 3. } 15 \times \frac{6}{5} \text { or } 15 \times \frac{5}{6} \\ \text { 4. } \frac{1}{3} \times 2 \text { or } \frac{7}{5} \times 2 & \text { 5. } \frac{15}{4} \times 20 \text { or } \frac{12}{15} \times 20\end{array} \) Resolver para \( u \). \[ 9 u-21=5(u-5) \] Simplificar la respuesta al máximo.
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