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Home Question Bank Math Pre Algebra Archive 2024 December 29

Pre-algebra Questions from Dec 29,2024

Browse the Pre-algebra Q&A Archive for Dec 29,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A) \( \sqrt[3]{-216}= \) 126. Los términos de una sucesión se calculan con este procedimiento. Paso 1. El primer término de la sucesión es \( f(1)=1 \) Paso 2: El término de la posición \( n \) se calcula usando el término de la posición \( n \)-1, por medio de la formula: \( f(n)=1+\frac{1}{f(n-1)} \) Por ejemplo: \[ f(2)=1+\frac{1}{f(1)} \] \[ f(2)=1+\frac{1}{1} \] \[ f(2)=2 \] 19. Without using a calculator or mathematical tables, cvaluate: \( 49^{\frac{3}{2}} \times\left(\frac{256}{2401}\right)^{\frac{3}{2}} \) 1 (a) Simplify : \( \frac{1 \frac{1}{4}+\frac{7}{9}}{1 \frac{4}{9}-2 \frac{2}{3} \times \frac{9}{64}} \) (b) Given that \( \sin x=\frac{2}{3} \), evaluate, leaving your answer in surd form and without usin tables or calculator, \( \tan x-\cos x \). (a) Simplify : \( \frac{1 \frac{1}{4}+\frac{7}{9}}{1 \frac{4}{9}-2 \frac{2}{3} \times \frac{9}{64}} \) (b) Given that \( \sin x=\frac{2}{3} \), evaluate, leaving your answer in surd form and without usin tables or calculator, \( \tan x-\cos x \). b) \( \left(\frac{3}{5}\right)^{3} \times\left(\frac{2}{3}\right)^{2} \times\left(\frac{5}{7}\right)^{2} \) DECIMALS 1. Grade 8 learners of Bidii Junior Secondary were given the foliowing number cards by their teacher during a mathematics lesson. ldentify the number card representing a recurring decimal. \( f(x)=\frac{1-x}{1+x} \), then the value of \( f\left(f\left(\frac{1}{x}\right)(x=0)\right. \) is (A) \( x \) (B) 0 (C) \( \frac{1}{x} \) (D) \( x^{2} \) (E) 1 Use mathematical sindution to proste that, \( 1^{2}+3^{2}+5^{2}+\ldots+(2 n+1)^{2}=\frac{(n+1)(2 n+1)(2 n+1)}{3} \) Where \( n \) is positive sinteger.
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