May 2019
Find $x$ from $xy = 12$, $yz = 20$, and $zx = 15$
Problem
Solve for x from the following equations:
| $xy = 12$ | $yz = 20$ | $zx = 15$ |
| A. 2 | C. 4 |
| B. 3 | D. 5 |
Value of t for a germ population to double its original value
Problem
A germ population has a growth curve $Ae^{0.4t}$. At what value of $t$ does its original value doubled?
| A. t = 7.13 | C. t = 1.73 |
| B. t = 1.37 | D. t = 3.71 |
A circle has an equation of x^2 + y^2 + 2cy = 0. Find the value of c when the length of the tangent from (5, 4) to the circle is equal to one.
Problem
A circle has an equation of $x^2 + y^2 + 2cy = 0$. Find the value of $c$ when the length of the tangent from (5, 4) to the circle is equal to one.
| A. 5 | C. 3 |
| B. -3 | D. -5 |
Find the equation of the curve passing through the point (3, 2) and having s slope 5x^2 - x + 1 at every point (x, y)
Problem
Find the equation of the curve passing through the point (3, 2) and having s slope 5x2 - x + 1 at every point (x, y).
| A. $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{31}{3}$ | C. $y = 5x^3 - 2x^2 + x - 118$ |
| B. $y = 5x^3 - 2x^2 + x - 31$ | D. $y = \frac{5}{3}x^3 - \frac{1}{2}x^2 + x - \frac{83}{2}$ |
What is the Chance of Rain: Local vs Federal Forecasts
Problem
The local weather forecaster says “no rain” and his record is 2/3 accuracy of prediction. But the Federal Meteorological Service predicts rain and their record is 3/4. With no other data available, what is the chance of rain?
| A. 3/5 | C. 1/6 |
| B. 1/4 | D. 5/12 |