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Home Question Bank Math Pre Algebra Archive 2024 December 09

Pre-algebra Questions from Dec 09,2024

Browse the Pre-algebra Q&A Archive for Dec 09,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A full bathtub drains at a constant rate. The amount of water in the bathtub changes by \( -4 \frac{1}{2} \) gallons in \( \frac{3}{4} \) minute. What is the rate, in gallons per minute at which the amount of water in the bathtub changes? Show your work. Henry explains why \( 4^{\frac{3}{2}}=8 \) : know that \( 4^{3} \) is 64 and the square root of 64 is 8 . Here is Henrietta's explanation for why \( 4^{\frac{3}{2}}=8 \) : know that \( \sqrt{4}=2 \) and the cube of 2 is 8 . a. Are Henry and Henrietta correct? Explain Paula is scuba diving. Her elevation changes by \( -37 \frac{4}{5} \mathrm{~m} \) in 4.5 mi a. What rational number represents the average change in Paula elevation each minute? Show your work. 24. \( -20-(-4) \) 26. Reason quantitatively. Is \( 5-(-5) \) the same as \( -5-5 \) ? Explain your reasoning. Task 1: Henry explains why \( 4^{\frac{3}{2}}=8 \) : know that \( 4^{3} \) is 64 and the square root of 64 is 8 . Here is Henrietta's explanation for why \( 4^{\frac{3}{2}}=8 \) : know that \( \sqrt{4}=2 \) and the cube of 2 is 8 . a. Are Henry and Henrietta correct? Explain. In Ms. Perron's class, \( 75 \% \) of the students are boys. There are 18 boys in the class. What is the total number of students in Ms. Perron's class? A. 6 B 14 (C) 24 (D) 57 SHOW HINT Find fynctions f and \( g \) so that \( h(x)=(f \circ g)(x) \). \( h(x)=|4 x+7| \) A. \( f(x)=-|x| ; g(x)=4 x+7 \) B. \( f(x)=|-x| ; g(x)=4 x-7 \) C. \( f(x)=|x| ; g(x)=4 x+7 \) D. \( f(x)=x ; g(x)=4 x+7 \) ACTIVIDADES Operaciones combinadas 16. Escriban el cáleulo y resuélvanlo. a. El doble de la raiz cuadrada de cuarenta y nueve. Deterẹine whether the relation is a function. \( \{(-6,5),(-3,9),(3,-2),(5,7)\} \) Function Not a function Write the logarithmic expression as a single logarithm with coefficient 1 , and simplify as much as possible. \( 3[\ln x-\ln (x+9)-\ln (x-9)] \)
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