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Home Question Bank Math Archive 2025 February 24

Math Questions from Feb 24,2025

Browse the Math Q&A Archive for Feb 24,2025, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A child flies a kite at a height of 70 ft , the wind carrying the kite horizontally away from the child at a rate of \( 25 \mathrm{ft} / \mathrm{sec} \). How fast must the child let out the string when the kite is 250 ft away from the child? The child must let out the string at a rate of \( \square \mathrm{ft} / \mathrm{sec} \) when the kite is 250 ft away from the child. (Simplify your answer.) Find \( -\frac{1}{4}\left(-\frac{4}{5}\right) \). Write your answer as a fraction in simplest form. Among the game show contestants, 29 were nervous before going on TV and 11 felt relaxed. Find the probability that a randomly selected contestant felt relaxed. (1 point) 0.379 0.275 0.725 0.485 Let \( f(x)=\left(-8 x^{2}-5\right)^{4}\left(-9 x^{2}+2\right)^{14} \) \( f^{\prime}(x)= \) Find \( -\frac{3}{8}\left(-\frac{8}{9}\right) \). Write your answer as a fraction in simplest form. \( 78.2 \% \) of the students study more than one day for the chapter test. Find the probability that a randomly selected student did not study more than one day for the test. (1 point) 0.218 0.782 0.328 0.391 Find \( -\frac{1}{2}\left(-\frac{4}{5}\right) \). Write your answer as a fraction in simplest form. The high school marching band has 196 members, and 28 of them are a part of the oercussion. How many members are in the marching band but not a part of the oercussion? In the previous problem, the solution of the initial value problem is Select the correct answer. \( x=16 t^{2}+40 t+200 \) \( x=-16 t^{2}+200 t+40 \) \( x=-16 t^{2}+40 t+200 \) \( x=32 t^{2}+40 t+200 \) \( x=-32 t^{2}+40 t+200 \) Use the chain rule to find the derivative of \[ 5\left(5 x^{6}+3 x^{4}\right)^{18} \]
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