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Questions in mathematics

[Done] Which problem can be solved using this equation? [tex]x+2=\frac{1}{4}(42)[/tex]?

[Done] $\frac{8 x}{3}-2 x^2$ Which of the following is equivalent to the expression above? A) the quotient of eight times $x$ and three, minus twice $x$ squared B) the difference between eight times $x$ and three, minus two times $x$ squared C) the quotient of eight times $x$ and three, minus two times $x$ times two D) twice $x$ squared more thath the quotient of eight times $x$ and three

[Done] Given $f(x)=x^4(4+6 x)$, find $f^{\prime}(x)$.

[Done] The table represents the amount of storage space, in megabytes, used by music files on Zayd's computer. Zayd's Music Storage \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Number \\ of Files\\ \end{tabular} & \begin{tabular}{c} Space Used \\ (Mb)\\ \end{tabular} \\ \hline 10 & 15 \\ \hline 20 & 30 \\ \hline 30 & 45 \\ \hline 40 & 60 \\ \hline 50 & 75 \\ \hline \end{tabular} Which statement best describes the relationship between storage space and number of music files? A. As the number of files remains constant, the storage space used decreases. B. As the number of files remains constant, the storage space used increases. C. As the number of files increases, the storage space used decreases. D. As the number of files increases, the storage space used increases.

[Done] Solve the shape equation puzzles. \begin{tabular}{|l|c|l|} \hline MITITI\includegraphics[width=0.05textwidth]{example-image-a} & Shape Equation Purale 1 & Solution and explanation \\ \hline Clue 1 & $2 \Delta-1=5$ & $\Delta=$ \\ \hline Clue 2 & $\Delta+\square=1$ & $\square=$ \\ \hline Clue 3 & $\Delta-2 \square=$ h & $\square=$ \\ \hline \end{tabular} \begin{tabular}{|l|c|c|} \hline & Solution and explanation \\ \hline Clue 1 & $>+2=5 \bigcirc$ & $\square=$ \\ \hline Clue 2 & $3 \square=12$ & \\ \hline Clue 3 & $2 O=<2 \square>=$ \\ \hline \end{tabular}

[Done] Solve the following proportion for [tex]$x$[/tex]. [tex]$\frac{11}{x}=\frac{5}{8}$[/tex]

[Done] Convert 1,050 milliliters to liters. mL = L

[Done] Question 6: Find the absolute extrema of the function [tex]$f(x)=3 x(x+4)^{\frac{2}{3}}$[/tex] on [-5,-1]. (10 pts) a) (Max, Min) = (4,0) b) (Max, Min) = (-4,-8) c) (Max, Min) = (0,-15) d) (Max, Min) = (-1,-7)

[Done] Round each number to the indicated number of significant figures. | Number to Round | Rounded Number | |---|---| | 57.8937701 to 7 SF | | | 864.00 to 3 SF | | | 469.957 to 4 SF | | | [tex]$4.8535 \times 10^{-6}$[/tex] to 4 SF | | | [tex]$6.92000000 \times 10^7$[/tex] to 5 SF | |

[Done] [tex]$\frac{4}{3} x^2+9 y-19-\frac{1}{3} x^2-15 y+8$[/tex]