Timed Mini Exam 16 — Timed Mini Exams

Questions in this quiz (10)

1. If the inequality $$|a|$$ > $$|b|$$ is true, then which of the following must be true?

   • $$a \ne b$$
   • $$a$$ < $$b$$
   • $$a$$ > $$b$$
   • $$a$$ > $$0$$

2. If $$x^2 = 36$$ and $$y^2 = 25$$, which of the following CANNOT be a value of $$x + y$$?

   • 11
   • 1
   • -11
   • 15

3. What is the product of the 50th and 150th digits in the decimal representation of $$\frac{5}{6}$$?

   • 9
   • 8
   • 64
   • 75

4. Consider the matrices:What is the product $$P\cdot Q$$?

5. Mr. Smith invested 15000 dollars at 5% interest compounded continuously. Which of these is an expression for how much his investment will be worth after 25 years?

   • 15000 $$e^{1.5}$$
   • 15000 $$e^{0.75}$$
   • 15000 $$e^{1.25}$$
   • 15000 $$(1.05)^{2.5}$$

6. If $$4x + 6y = 24$$ and $$x \geq 2$$, what is the range of values for $$y$$?

   • $$y \leq \frac{4}{3}$$
   • $$y \leq \frac{5}{3}$$
   • $$y \leq \frac{7}{3}$$
   • $$y \leq \frac{8}{3}$$

7. If $$|x+3| \le 5$$, what is a possible value of $$x$$?

   • 3
   • 9
   • -9
   • 0

8. A circle has the equation $$(x-a)^2+(y-b)^2=9$$ in which $$a$$ and $$b$$ are positive constants. What must the values of $$a$$ and $$b$$ be in order for all the $$x$$ and $$y$$ coordinates of the circle to be greater than zero?

   • $$a$$ < $$9$$ and $$b$$ > $$9$$
   • $$a$$ > $$3$$ and $$b$$ > $$3$$
   • $$a$$ > $$9$$ and $$b$$ > $$9$$
   • $$a$$ < $$6$$ and $$b$$ > $$6$$

9. In the figure below, $$ABC$$ is a right triangle at $$A$$, and $$AH$$ is the height relative to the hypotenuse $$BC$$. Which of the following alternatives is always true?I. $$c=a$$II. $$d=a$$III. $$b=d$$IV. $$c=h$$V. $$a+b+c+d=360$$

   • I only
   • I and III
   • I and V
   • I, III and V

10. Two dice are tossed. Find the probability of getting a sum greater than 3.

    • $$\frac{11}{12}$$
    • $$\frac{1}{12}$$
    • $$\frac{7}{36}$$
    • $$\frac{5}{36}$$