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Home Question Bank Math Pre Algebra Archive 2024 December 10

Pre-algebra Questions from Dec 10,2024

Browse the Pre-algebra Q&A Archive for Dec 10,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Compare by showing factorial computation: the number of arrangements for the letters in "BLUSH" with the number of arrangements for the letters in "TEETH". Which of the following is a Fibonacci sequence? (A) \( 1,4,5,9,14,23, \ldots \) (B) \( 1,4,4,16,64 \) (C) \( 1,4,9,16,25 \) (D) \( 1,4,8,12,16 \) 7) Which of the following are equivalent ratios to 9 to 3 ? Select all that apply or write none. a. \( 3: 1 \) b. \( 15: 5 \) c. \( 27: 9 \) d. \( 6: 2 \) Expand \( \log \left(\frac{a^{2}}{b^{-3} c^{4}}\right) \) to rewrite as a sum, difference, or product of logarithms. Choose all correct answers. There may be more than one way to rewrite the expression. A. \( \log \left(a^{2}\right)-\log \left(b^{-3} c^{4}\right) \) B. \( \log \left(a^{2}\right)-\log \left(b^{-3}\right)+\log \left(c^{4}\right) \) C. \( 2 \log (a)+3 \log (b)-4 \log (c) \) D. \( \log \left(a^{2}\right)+\log \left(b^{-3} c^{4}\right) \) E. \( 2 \log (a)-3 \log (b)-4 \log (c) \) O. None of the above Evaluate each expression. (a) \( \log _{8} 64=\square \) (b) \( \log _{3} \frac{1}{27}=\square \) If 14 g of a radioactive substance are present initially and 7 yr later only 7.0 g remain, how much of the substance, to the nearest tenth of a gram, will be present after 16 yr ? After 16 yr , there will be \( \square \mathrm{g} \) of the radioactive substance. (Do not round until the final answer. Then round to the nearest tenth as needed.) Use the change of base formula to compute \( \log _{4} 6 \). Round your answer to the nearest thousandth. Let \( f(x)=3 x^{2} \). Find \( f(-x) \) and \( -f(x) \). Use them to determine whether or not \( f(x) \) is even, odd, or neither. \( f(-x)=\square \) help (formulas) \( -f(x)= \) Is \( f(x) \) odd, even, or neither? Describe how the given equation represents a transformation of the function \( f(x) \) : \( y=f(x-6) \) Oleft 6 units Oright 6 units Oup 6 units Odown 6 units Describe how the given equation represents a transformation of the function \( f(x) \) : - \( y=f(x-6) \) Oleft 6 units Oright 6 units Oup 6 units Odown 6 units
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