Mini Exam 9 — Timed Mini Exams

Questions in this quiz (10)

1. The function $$C(p)=\frac{5}{4}(p-30)+75$$ gives the total cost, in dollars, to produce $$p$$ units of a certain product. If the number of units produced increased by $$20$$, by how much did the total cost increase, in dollars?

   • $$100$$
   • $$75$$
   • $$25$$
   • $$20$$

2. The point $$(14,y)$$ is a solution to the system of inequalities in the $$xy$$-plane:$$x\lt25$$$$4x-3y\gt20$$Which of the following could be the value of $$y$$?

   • $$14$$
   • $$10$$
   • $$12$$
   • $$8$$

3. If $$\frac{\sqrt[5]{x^{11}}}{\sqrt[3]{x^4}}=x^{\frac{c}{d}}$$ for all positive values of $$x$$, what is the value of $$\frac{c}{d}$$?

   • $$\frac{11}{5}$$
   • $$\frac{13}{15}$$
   • $$\frac{20}{15}$$
   • $$\frac{33}{15}$$

4. In right triangle $$JKL$$, the measure of angle $$K$$ is $$90^\circ$$. The length of side $$JK$$ is $$v$$. If $$\sin L=\frac{15}{17}$$, what is the value of $$\tan J$$?

   • $$\frac{15}{8}$$
   • $$\frac{15}{17}$$
   • $$\frac{8}{15}$$
   • $$\frac{8}{17}$$

5. The function $$g$$ is defined above:$$g(x)=-5x+12$$In the $$xy$$-plane, the graph of $$y=g(x)$$ is parallel to line $$n$$. What is the slope of line $$n$$?

   • $$12$$
   • $$5$$
   • $$-12$$
   • $$-5$$

6. A line in the $$xy$$-plane has a slope of $$-3$$ and passes through the point $$(2,7)$$. Which of the following is an equation of this line?

   • $$y=-3x+13$$
   • $$y=3x+1$$
   • $$y=3x+13$$
   • $$y=-3x+1$$

7. The graph of $$x^2+8x+y^2-4y=45$$ in the $$xy$$-plane is a circle. What is the length of the circle's radius?

   • $$\sqrt{65}$$
   • $$\sqrt{45}$$
   • $$\sqrt{60}$$
   • $$\sqrt{80}$$

8. Which expression is equivalent to $$\frac{12q}{n}+12qn$$, where $$n$$ > $$0$$?

   • $$\frac{12qn^2}{n}$$
   • $$\frac{12q(n+1)}{n}$$
   • $$\frac{12q}{n^2}$$
   • $$\frac{12q(n^2+1)}{n}$$

9. The expression $$(3600+40y^2)+6(3y^2-200)$$ can be written in the form $$ay^2+b$$, where $$a$$ and $$b$$ are constants. What is the value of $$a+b$$?

   • $$3560$$
   • $$4040$$
   • $$2458$$
   • $$5200$$

10. The circumference of the base of a right circular cylinder is $$18\pi$$ inches, and the height of the cylinder is $$6$$ inches. What is the volume, in cubic inches, of the cylinder?

    • $$243\pi$$
    • $$486\pi$$
    • $$81\pi$$
    • $$27\pi$$