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Math Questions from Nov 20,2024

Browse the Math Q&A Archive for Nov 20,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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\( 16 x^{2}-25 \) A. \( (4 x+5)(4 x-5) \) B. \( (8 x+5)(2 x-5) \) c. \( (8 x-5)(2 x-5) \) D. \( (4 x-5)(4 x-5) \) A seagull drops a sea urchin onto the rocks below from a height of 80 m . The function \( h(t)=-5 t^{2}+80 \) models the height of the urchin, in metres, and \( t \) is the time in seconds. When will the sea urchin hit the rocks? \( x^{2}+10 x+25=7 \) \( \square \) A. -5 \( \square \) B. \( \sqrt{7}+5 \) \( \square \) C. \( \sqrt{7} \cdot 5 \) \( \square \) D. \( \sqrt{7} \) \( \square \) E. 5 \( \square \) F. \( \cdot \sqrt{7} \cdot 5 \) Question 5 (6 points) 3. Let \( P(x)=-0.3 x^{2}+60 x-500 \) be a profit function for a cable television company. It estimates \( x \) as the number of subscribers in thousands and the profit is measured in thousands of dollars. (Use algebra to solve all the problems. To receive credit, all work must be shown) \[ \begin{array}{l}\text { a. A break-even point is where profit is zero. Use algebra to find the break-even points. Give } \\ \text { an interpretation of what this means for the cable company. (6 points) }\end{array} \] Adal tiene una caja que mide 18 cm de largo, 4 cm de altura y 10 cm de ancho. Ma-- nuel tiene una caja de 15 cm de largo, 7 cm de ancho y 8 cm de altura. ¿Cuál caja tiene mayor volumen? \( y ^ { \prime \prime } + y = \sin x \) c) \( x^{2}-2=0 \) Find the product. \( \begin{array}{l}2,108 \\ \times \quad 35 \\ \text { Enter your answer in the box. }\end{array} \). find the sum of all multiple of 2 that are not mustiple of 3 between 10 and 100 . \( 2 x^{2}+6 x-10=x^{2}+6 \) \( \square \) A. \( \frac{1}{3} \) \( \square \) B. -2 \( \square \) C. \( -\frac{1}{2} \) \( \square \) D. -8 \( \square \) E. 8 \( \square \) F. 2
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