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Questions in Grade College

[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] 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] Individually written order acknowledgments can be justified for A. customers in good standing B. low-volume accounts C. large orders D. routine orders

[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] Find the difference: $\frac{2}{x+10}-\frac{3}{x+4}$

[Answered] The table shows the estimated number of lines of code written by computer programmers per hour when [tex]$x$[/tex] people are working. Productivity People working & Lines of code written hourly 2 & 50 4 & 110 6 & 160 8 & 210 10 & 270 12 & 320 Which model best represents the data? [tex]$y=47(1.191)^x$[/tex] [tex]$y=34(1.204)^x$[/tex] [tex]$y=26.9 x-1.3$[/tex] [tex]$y=27 x-4$[/tex]

[Answered] The table shows how an elevator 500 feet above the ground is descending at a steady rate. | Time in seconds $(t)$ | Height in feet $h(t)$ | |---|---| | 0 | 500 | | 5 | 475 | | 10 | 450 | | 15 | 425 | Which equation represents the height, $h(t)$, of the elevator in feet, as a function of $t$, the number of seconds during which it has been descending? A. [tex]$h(t)=5 t+500$[/tex] B. [tex]$h(t)=5 t-500$[/tex] C. [tex]$h(t)=-5 t+500$[/tex] D. [tex]$h(t)=-5 t-500$[/tex]

[Answered] A sample of tin [tex]$\left( Cp =0.227 J / g \cdot{ }^{\circ} C \right)$[/tex] is placed in a freezer. Its temperature decreases from [tex]$15.0^{\circ} C$[/tex] to [tex]$-10.0^{\circ} C$[/tex] as it releases 543 J of energy. What is the mass of the sample? Round your answer to three significant figures. Use the formula [tex]$q=m C_\gamma \Delta T$[/tex].

[Answered] Which best explains why replicating an experiment should be done by someone other than the person who originally did the experiment? A. It shows that the results are the same using different methods. B. It shows that the experiment is easy to do. C. It shows that the results are as expected. D. It shows that the experiment is designed properly.