Timed Mini Exam 5 — Timed Mini Exams

Questions in this quiz (10)

1. A safety regulation requires that a fire escape ladder be placed at an angle of 70° with respect to level ground. If the ladder must reach a window that is 12 feet above the ground, which of the following expressions involving tangent gives the distance, in feet, that the bottom of the ladder should be placed away from the base of the building?

   • $$12\tan 70°$$
   • $$\frac{1}{12\tan 70°}$$
   • $$\frac{12}{\tan 70°}$$
   • $$\frac{\tan 70°}{12}$$

2. For a population that grows at a constant rate r%per year, the formula$$P(t)=P_0(1+\frac{r}{100})^t$$models the population t years after an initial population of $$P_0$$ people is counted.The population of the city of Riverside was 625000 in 2005. Assume the population grows at a constant rate of 4% per year. According to this formula, which of the following is an expression for the population of Riverside in the year 2015?

   • $$625000(0.04)^{10}$$
   • $$625000(1.04)^{10}$$
   • $$625000(1.4)^{10}$$
   • $$625000(0.4)^{10}$$

3. Sarah's phone plan charges according to the following rules:• $0.15 per minute from 8:00 P.M. to 6:00 A.M. on weekdays,• $0.07 per minute all day on Sundays,• $0.12 per minute all day on Saturdays,• $0.25 per minute at all other times.The table below shows Sarah's long-distance calls for one week, including the date, time, and duration in minutes:What total amount did Sarah's long-distance service charge her for the calls in the table?

   • $$8.20$$
   • $$8.44$$
   • $$9.20$$
   • $$9.36$$

4. The parallel sides of the isosceles trapezoid shown below are 12 feet long and 20 feet long, respectively. The non-parallel sides are each 6 feet long. What is the distance, in feet, between these two parallel sides?

   • $$4$$
   • $$2\sqrt{5}$$
   • $$4\sqrt{2}$$
   • $$\frac{6}{\sqrt{2}}$$

5. In the standard $$(x,y)$$ coordinate plane, the midpoint of segment CD is (2,7) and C is located at (-4,5). If (x,y) are the coordinates of D, what is the value of $$x+y$$?

   • $$18$$
   • $$17$$
   • $$6$$
   • $$10$$

6. Which inequality is equivalent to $$4(x-1)$$ < $$2(x+7)$$?

   • $$x$$ > $$-9$$
   • $$x$$ < $$5$$
   • $$x$$ < $$-5$$
   • $$x$$ < $$9$$

7. For all $$x$$ in the domain of the function $$\frac{x-2}{x^2-4}$$, this function is equivalent to:

   • $$\frac{x-2}{x+2}$$
   • $$\frac{1}{x^2-2}$$
   • $$\frac{1}{x+2}$$
   • $$\frac{1}{x^2-4}$$

8. In the figure, line p is parallel to line q. Transversals r and s intersect at point M on line p and intersect line q at points N and K, respectively. The measure of angle NMK is $$60^\circ$$, and the measure of angle MNT is $$120^\circ$$. How many of the angles formed by rays of p, q, r, and s have measure $$60^\circ$$?

   • $$4$$
   • $$6$$
   • $$8$$
   • $$10$$

9. Two pumps are used to fill a water tank. One pump delivers water at twice the rate of the other. Both pumps are turned on at the same time, and after 10 hours, the tank is filled to 3 feet of water. At that point, the faster pump is turned off, and the slower pump continues filling the tank until the water level reaches 4 feet. Which of the following graphs best represents the relationship between the time spent filling the tank and the height of water in the tank?

10. Tickets for the Spring Concert at Lincoln High School are $$4$$ for adults and $$3$$ for students. To cover expenses, a total of $$720$$ must be collected from ticket sales. In the standard $$(x,y)$$ coordinate plane, where $$x$$ is the number of adult tickets and $$y$$ is the number of student tickets, which graph shows all combinations that cover at least $$720$$ in expenses?