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Home Question Bank Math Pre Algebra Archive 2024 December 18

Pre-algebra Questions from Dec 18,2024

Browse the Pre-algebra Q&A Archive for Dec 18,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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JSTION 2 Given the geometric sequence: \( 7 ; x ; 63 ; \ldots \) Determine the possible values of \( x \). The first term of a geometric sequence is 15 . If the second term is 10 , calculate: \( 2.2 .1 \quad \mathrm{~T}_{10} \) \( 2.2 .2 \quad \mathrm{~S} 9 \) Given: \( 0 ;-\frac{1}{2} ; 0 ; \frac{1}{2} ; 0 ; \frac{3}{2} ; 0 ; \frac{5}{2} ; 0 ; \frac{7}{2} ; 0 ; \ldots \) Assume that this number pattern continues consistently. \( 2.3 .1 \quad \) Write down the value of the \( 191^{\text {nt }} \) term of this sequence. \( 2.3 .2 \quad \) Determine the sum of the first 500 terms of this sequence. Evaluate \( f(4)^{*} \) \( f(x)=\left\{\begin{array}{cc}2 x+3 & \text { when } x<4 \\ x-1 & \text { when } x \geq 4\end{array}\right\} \) 11 3 \( x= \) No Real Number Solutions Describe how the graph of the radical function \( f(x) = \sqrt{x} \) changes when transformed to \( g(x) = \sqrt{x - 4} + 2 \). Oppgave 1 Regn ut. a \( 2+4 \cdot 7-3 \cdot(1-3)^{3} \) A. \( \frac{5}{8}=\frac{?}{48} \quad ?= \) the stme answers Water is leaking from a tank at a constant rate. Initially there is 100 litres of water in the tank. After 8 hours there is 72 litres of water in the tank. a Draw a graph to show the amount of water in the tank over time. What is the value of \( \log _{7} \sqrt[4]{7} \) ? b. \( \quad 12+\{[(-5)+2]-(3+4)\} \) 16. Simplify each of the following. \( \begin{array}{llll}\text { a. } 7 \sqrt{2}+\sqrt{8}-\sqrt{18} & \text { b. } \frac{1}{3} \times(\sqrt{5}-\sqrt{2}) \times(\sqrt{5}+\sqrt{2}) & \text { c. } 3 \sqrt{28}+8 \sqrt{7} \\ \text { d. } \sqrt[4]{b^{2} \times \sqrt[3]{b^{2}}} \text {, for } b \geq 0 & \text { e. } \frac{\sqrt{72}-3 \sqrt{24}}{\sqrt{2}} & \text { f. } \frac{2 \sqrt{72}}{3}-\frac{3 \sqrt{124}}{4}+5 \sqrt{\frac{1}{2}}\end{array} \) 19. On the number line which one of the following real numbers is found farthest from the origin? \( \begin{array}{llll}\text { A. } \sqrt{1.44} & \text { B. }-\sqrt{3} & \text { C. } \frac{\sqrt{3}}{7} & \text { D. }-\sqrt{0.0001}\end{array} \)
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