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Questions in mathematics

[Done] You have a restaurant bill of $46.32. If you are taxed 7.5% and decide to tip your server 20%, how much is your total? A. $59.75 B. $59.05 C. $58.92 D. $58.87

[Done] Write an algebraic expression for the verbal expression: a number [tex]$n$[/tex] increased by 16.

[Done] Simplify. $(-32)^{\frac{4}{5}}$

[Done] Evaluate [tex]$x^2-2(x-y)-z^3$[/tex] if [tex]$x=-3, y=4$[/tex] and [tex]$z=-1$[/tex].

[Done] Consider the function [tex]f(x)=\frac{10}{2+x^2}[/tex]. Complete the table of values for [tex]f(x)[/tex] below when [tex]x=0,1,2,3[/tex]. Give exact values. x & 0 & 1 & 2 & 3 \ f(x) & & & & & \

[Done] Where do I put the numbers in the boxes?

[Done] Additional Practice: Record remainders. 2. $44 \longdiv {6,668}$

[Done] Why is [tex]$\sqrt[3]{4}$[/tex] equal to [tex]$4^{\frac{1}{3}}$[/tex] ? [tex]$\left(4^{\frac{1}{3}}\right)^3=4^{\left(\frac{1}{3}+3\right)}=4^1=4$[/tex] [tex]$\left(4^{\frac{1}{3}}\right)^3=4^{\left(\frac{1}{3}\right)^{(3)}}=4^1=4$[/tex] [tex]$\left(4^{\frac{1}{3}}\right)^3=4^{\left(\frac{1}{3}+3\right)}=4^1=4$[/tex] d [tex]$\quad\left(4^{\frac{1}{3}}\right)^3=4^{\left(\frac{1}{3}-3\right)}=4^1=4$[/tex]

[Done] $-11-2 p=6 p+5(p+3)$

[Done] Students are given 3 minutes to complete each multiple-choice question on a test and 8 minutes for each free response question. There are 15 questions on the test and the students have been given 56 minutes to complete it. \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ Test Time } \\ \hline & \begin{tabular}{c} Number of \\ Questions \end{tabular} & \begin{tabular}{c} Time per Item \\ (minutes) \end{tabular} & \begin{tabular}{c} Total Time \\(m inutes) \end{tabular} \\ \hline Multiple Choice & m & 3 & 3 m \\ \hline Free Response & $15- m$ & 8 & $x$ \\ \hline Total & 15 & & 55 \\ \hline \end{tabular} Which value could replace [tex]$x$[/tex] in the table? A. [tex]$7-m$[/tex] B. [tex]$23-m$[/tex] C. [tex]$8(15-m)$[/tex] D. [tex]$8(15)-m$[/tex]