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Questions in mathematics

[Answered] Find the value of $n$ in the equation $(11^2)^n=11^{10}$.

[Answered] Draw and shade 2 different rectangles that each have an area of 20 square units. Show how to find the area and perimeter of each rectangle. [tex]2 \times 10=2[/tex] Equation to find area: Area: 20 square units Equation to find perimeter: Perimeter: units Equation to find area: [tex]4 \times 5=20[/tex] Area: 20 square units Equation to find perimeter: Perimeter: units

[Answered] Question 5: The radius of a disk is measured to be $10 \pm .1 cm$ (error estimate). Using differentials to estimate the maximum error in the approximate area of the disk. (10 pts) a) $\pi cm ^2$ b) $2 \pi cm^2$ c) $3 \pi cm^2$ d) $4 \pi cm^2$

[Answered] Find the derivative of [tex]f(x)=7 \sqrt[3]{x}+8 \sin x-12[/tex] a.) [tex]f^{\prime}(x)=\frac{7}{3 x^{\frac{2}{3}}}-8 \cos x-12[/tex] b.) [tex]f^{\prime}(x)=\frac{7}{3 x^{\frac{2}{3}}}+8 \cos x[/tex] c.) [tex]f^{\prime}(x)=\frac{21}{x^{\frac{2}{3}}}+8 \cos x[/tex] d.)[tex]f^{\prime}(x)=\frac{7}{3 x^{\frac{2}{3}}}-8 \cos x[/tex]

[Answered] How many zeros does the function have? [tex]f(x)=3 x^4+-2 x^3+x^2-2 x+1[/tex]

[Answered] Suppose the number of dropped footballs for a wide receiver, over the course of a season, are normally distributed with a mean of 16 and a standard deviation of 2. What is the [tex]$z$-score[/tex] for a wide receiver who dropped 13 footballs over the course of a season? A. -3 B. -1.5 C. 1.5 D. 3

[Answered] $\frac{8^5}{8^7} \cdot \frac{10^3}{10^5} \cdot 0^6$

[Answered] The following table describes the average fuel consumption per year per passenger car in gallons of gasoline. [tex] \begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline Year, t & 1960 & 1970 & 1980 & 1990 & 1995 & 1997 & 1998 & 1999 \\ \hline \begin{tabular}{l} Gallons Consumed Per Passenger Car \end{tabular} & 668 & 760 & 576 & 520 & 530 & 538 & 544 & 552 \\ \hline \end{tabular} [/tex] Determine the average rate of change, in gallons of gas per year, from 1960 and 1999 and then determine what the result means in this situation. A. -0.33 gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by a third of a gallon per year. B. 0.33 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by a third of a gallon per year. C. 2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. increased by nearly 3 gal/year. D. -2.97 gal/year; the average fuel consumption per year of a passenger car in the U.S. decreased by nearly 3 gal/year.

[Answered] The 3rd and 4th terms of an arithmetic sequence are 26 and 32, respectively. What is the 68th term of the sequence?

[Answered] $1 = 0.3x - 0.7x - 19