Timed Mini Exam 22 — Timed Mini Exams

Questions in this quiz (10)

1. The time for a certain chemical reaction to take place at different temperatures is represented by the equation$$t = 7\sqrt{d} - 10$$ where $$t$$ is time in seconds and $$d$$ is the temperature in degrees Celsius. If it takes 53 seconds for a chemical reaction to take place, what is the approximate temperature?

   • $$3$$
   • $$81$$
   • $$9$$
   • $$7\sqrt{53} - 10$$

2. You know the probability of your flight being delayed for any length of time due to a mechanical issue is 12 percent. What is the probability that there will not be a delay on a round trip (a flight to your destination and a flight back)?

   • $$44\%$$
   • $$88\%$$
   • $$25\%$$
   • $$77.44\%$$

3. Line segment AB has its midpoint at point C. If the coordinates of A and C are $$(3,5)$$ and $$(9,12)$$ respectively, which of the following must be the coordinates for point B?

   • $$(15,19)$$
   • $$(12,17)$$
   • $$(18,24)$$
   • $$(14,15)$$

4. What is the range of values for $$y=3\cos x+\sin 2x$$ where $$x$$ is a real number?

   • $$-5\leq y\leq 5$$
   • $$q y\leq 1$$
   • $$-3\leq y\leq 3$$
   • $$-4\leq y\leq 4$$

5. What will be the value of $$x$$ < $$0$$ if the determinant the matrix shown below is three times the value of $$x$$?

   • 24
   • $$\frac{-3 + \sqrt{41}}{2}$$
   • $$\frac{-3 - \sqrt{41}}{2}$$
   • 8

6. The graph of a piecewise defined function $$y=f(x)$$ is graphed in the standard $$(x,y)$$ coordinate plane. Which of the following describes the range for the function?

   • $$-3 \le y$$ < $$1$$ or $$1$$ < $$y \le6$$
   • $$-4$$ < $$y\le1$$ or $$1$$ < $$y\le6$$
   • $$-3\le y \le6$$
   • $$-4$$ < $$y\le6$$

7. The two equal sides of an isosceles triangle are each three times the length of its base. The perimeter of the triangle is 63 inches. What is the area of the triangle in square inches?

   • 150
   • 130
   • 120
   • 140

8. Which point lies on the same line as $$(2,-3)$$ and $$(6,1)$$?

   • $$(5,-6)$$
   • $$(2,3)$$
   • $$(-1,8)$$
   • $$(7,2)$$

9. In the figure below, triangles $$\triangle PQR$$ and $$\triangle STU$$ are similar. If the length of side $$PR$$ is $$42$$, what is the length of side $$PQ$$?

   • $$23$$
   • $$25$$
   • $$32$$
   • $$\frac{98}{3}$$

10. What is the real value of $$x$$ in the equation$$\log_3 81 - \log_3 9 = \log_4 x$$?

    • 9
    • 16
    • 27
    • 3