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Questions in Grade College

[Homework Help] Sierra and Alek each have five cousins. Their ages are listed below. Sierra's cousins: [tex]$\left\{2,11,12,13,15\right\}$[/tex] Alek's cousins: [tex]$\left\{9,11,11,12,13\right\}$[/tex] Which of the following statements is true? (A) For both sets of data, the median is equal to the mean. (B) The ages of Sierra's cousins are more spread out than those of Alek's cousins. (C) The mean age of Sierra's cousins is greater than that of Alek's cousins. (D) There are no outliers.

[Homework Help] 3. Solve the equation. $-\frac{m}{4} = 5$ 5. Solve the equation. $2v + 7 = 3$

[Homework Help] \begin{tabular}{|c|c|c|c|} \hline & \begin{tabular}{c} Rate \ (Sheds per Day) \end{tabular} & \begin{tabular}{c} Time \ (Days) \end{tabular} & Fraction Completed \ \hline Kaitlyn & $\frac{1}{6}$ & $d$ & $\frac{1}{8} d$ \ \hline Mark & $\frac{1}{8}$ & $d$ & $\frac{1}{8} d$ \ \hline \end{tabular} $\frac{1}{6} d-\frac{1}{8} d=48$ $\frac{1}{6} d+\frac{1}{8} d=48$ $\frac{1}{6} d-\frac{1}{8} d=1$ $\frac{1}{d} d+\frac{1}{8} d-$

[Homework Help] Find the derivative of [tex]f(x)=7 \sin x+x^3 \cos x[/tex]. a.) [tex]f^{\prime}(x)=7 \cos x-3 x^2 \sin x[/tex] b.) [tex]f^{\prime}(x)=-7 \cos x-3 x^2 \cos x+x^3 \sin x[/tex] c.) [tex]f^{\prime}(x)=7 \cos x+3 x^2 \cos x-x^3 \sin x[/tex] d.) [tex]f^{\prime}(x)=-7 \cos x+3 x^2 \sin x[/tex]

[Homework Help] Use integration by parts to evaluate the integral: \[\int_1^3 \frac{\ln (x)}{x^8} d x=\]

[Homework Help] Evaluating alternative options and choosing one option among them is called the theory of bounded rationality. Please select the best answer from the choices provided. A. True B. False

[Homework Help] The equation $y=\frac{1}{5} x$ represents a proportional relationship. Explain how you can tell the relationship is proportional from the graph of the equation, and how you can find the constant of proportionality.

[Homework Help] A firm's marginal demand function is [tex]D^{\prime}(x)=-\frac{2000}{\sqrt{25-x^2}}[/tex]. Estimate the demand function [tex]D(x)[/tex] given that [tex]D(3)=13,000[/tex]. (Assume [tex]-5\ \textless \ x\ \textless \ 5[/tex].)

[Homework Help] Add or subtract. Write in simplest form. 7 - 6 7/8

[Homework Help] Select the correct answer. Which expression is equivalent to this polynomial? $6 x^2+10 x-56$ A. $4(x-4)-2(3 x^2+3 x-20)$ B. $(3 x^2+5 x-28)+(3 x^2-5 x-28)$ C. $4(x-4)+2(3 x^2+3 x-20)$ D. $(3 x^2+5 x-28)-(3 x^2+5 x-28)$