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Questions in mathematics

[Done] The top vote-getters for the formation of a jazz ensemble are shown. Top Vote-Getters \begin{tabular}{|c|c|c|c|} \hline Student & Grade & Instrument & \begin{tabular}{c} Class \\ Period\end{tabular} \\ \hline Darla & 10 & trombone & 4 \\ \hline Emilio & 12 & saxophone & 2 \\ \hline Grace & 12 & trumpet & 4 \\ \hline Talia & 10 & saxophone & 1 \\ \hline Rodney & 11 & trumpet & 2 \\ \hline Evan & 12 & saxophone & 2 \\ \end{tabular} Which column shows the individuals in the study? A. class period B. grade C. instrument D. student

[Done] Display the data in matrix [tex]$W$[/tex] with rows indicating workers. What is element [tex]$w_{22}$[/tex]?

[Done] Given $r^{\prime}(x)=\frac{11}{(x-4)^2}$; which represents a domain restriction on $r(x)$ and the corresponding inverse function? A. $x>4 ; r^{-1}(x)=4-\sqrt{\frac{11}{x}}$ B. $x>4 ; r^{-1}(x)=4+\sqrt{\frac{11}{x}}$ C. $x>-4 ; r^{-1}(x)=4-\sqrt{\frac{11}{x}}$ D. $x>-4 ; r^{-1}(x)=4+\sqrt{\frac{11}{x}}$

[Done] Which expression is a difference of squares with a factor of [tex]$5 x-8$[/tex]? A. [tex]$25 x^2-16$[/tex] B. [tex]$25 x^2+16$[/tex] C. [tex]$25 x^2-64$[/tex] D. [tex]$25 x^2+64$[/tex]

[Done] The Scooter Company manufactures and sells electric scooters. Each scooter costs $[tex]$200$[/tex] to manufacture. The revenue can be determined by the function [tex]$R(x)=300 x-3 x^2$[/tex], where [tex]$x$[/tex] represents each electric scooter sold. Which of the following represents the profit?

[Done] Evaluate the following standard integral: [tex]$\int 4 \cos 3 x d x$[/tex]

[Done] Divide the following: $\frac{4 x^3+3 x^2+2 x-3}{x^2-2}$

[Done] A monkey is swinging from a tree. On the first swing, she passes through an arc of 20 m. With each swing, she passes through an arc [tex]\frac{4}{5}[/tex] the length of the previous swing. What is the total distance the monkey has traveled when she completes her [tex]10^{\text {th }}[/tex] swing? Round your final answer to the nearest meter. [ ] m

[Done] Determine the value for each variable in the two-way table. \begin{tabular}{|c|c|c|c|} \cline { 2 - 4 } \multicolumn{1}{c|}{} & Right & Left & Total \\ \hline Female & 24 & $a$ & $b$ \\ \hline Male & $c$ & 6 & 34 \\ \hline Total & 52 & $d$ & $e$ \\ \hline \end{tabular} A group of 65 baseball players were surveyed about which hand they favor for batting. The data from the survey are shown in the table. $a=\square$ $b=\square$ $c=\square$ $d=\square$ $e=\square$

[Done] (d) A function has been organised in an auditorium which can accommodate 34,567 people. However, only 26,549 people attended the function. How many seats were vacant during the function?