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Home Question Bank Math Pre Algebra Archive 2024 December 21

Pre-algebra Questions from Dec 21,2024

Browse the Pre-algebra Q&A Archive for Dec 21,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Look at this set of ordered pairs: \[ \begin{array}{l}(3,14) \\ (17,-2) \\ (9,13) \\ (17,9)\end{array} \] Is this relation a function? yes no Find the sum of the following geometric series: \( 10+6+3.6+2.16+\ldots \) 25 16 22 The term \( \log _{9}\left(\frac{6}{11}\right) \) can also be written as a.) \( \log _{6}(9)-\log _{11}(9) \) b.) \( \log _{6}(9)+\log _{11}(9) \) c.) \( \log _{9}(6)-\log _{9}(11) \) d.) \( \log _{9}(6)+\log _{9}(11) \) Qual è l'intercetta sull'asse y della funzione esponenziale \( f(x) = 2^x \)? 4) If \( f(X)=\sqrt{x+5}, g(X)=x^{2} \), then \( (f \circ g)(2)=\ldots \) \( \begin{array}{llll}\text { (a) } 7 & \text { (b) } 3 & \text { (c) } 4 & \text { (d) } 9\end{array} \) 353. \( \left[\left(\frac{7}{15}+\frac{3}{10}\right) \times \frac{15}{23}-\left(2-\frac{5}{4}\right)^{2} \times\left(\frac{2}{3}\right)^{3}\right]^{4} \times\left(1+\frac{1}{2}\right)^{4} \) Which of the following is equivalent to lol \( ^{36} \) ? a.) \( i \) b.) \( -i \) c.) 1 d.) -1 If the formula for an arithmetic sequence is \( a_{n}=2+7(n-1) \), then what term in the sequence is the value 191 ? a.) 28 th term b.) 27 th term c.) 29 th term 30 th term QUESTION 2 The following geometric sequence is given: \( 10 ; 5 ; 2,5 ; 1,25 ; \ldots \) 2.1 Calculate the value of the Sth term, \( \mathrm{T}_{5} \), of this sequence 2.2 Determine the nth term, \( \mathrm{T}_{\mathrm{m},} \), in terms of n 2.3 Explain why the infinite series \( 10+5+2,5 ; 1,25+\ldots \) converges \( 2.4 \quad \) Determine \( S_{\infty}-S_{n} \) in the form \( a b^{2} \), where \( n S \) is the sum of the first \( n \) terms of the Sequence What is the value of the following expression? \( -\sqrt[3]{-216} \) -72 72 -6 6
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