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1. |
The domain of a relation is all positive integers less than 4. The range of y or the relation is 2 plus x, where x is a number of the domain. Write the relation as a table of values and as an equation. |
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A. |
 |
B. |
None of these. |
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C. |
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D. |
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Hint |
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2. |
Write the standard form of the equation of a line for which the length of the normal segment to the origin is 10 and the normal makes an angle of with the positive x-axis. |
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A. |
x - y - 20 = 0 |
B. |
x - y + 20 = 0 |
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C. |
x + y - 20 = 0 |
D. |
x + y + 20 = 0 |
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Hint |
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3. |
What is the distance between the lines with equations x + y - 5 = 0 and y = -x + 10? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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4. |
Let and . Find . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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5. |
Write the equation 3x - 8y = -4 in polar form. Round to the nearest degree. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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6. |
Evaluate . |
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A. |
2 |
B. |
8 |
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C. |
4 |
D. |
3 |
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Hint |
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7. |
An old circuit board with 7 computer chips contains 4 chips that are faulty. If 2 chips are pulled at random, find the probability that both chips are faulty. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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8. |
The set of data {67, 90, 83, 85, 73, 80, 78, 79, 68, 71} represents the ages at death of the first 10 U.S. Presidents. Find the range of the data. |
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A. |
4 |
B. |
13 |
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C. |
23 |
D. |
18 |
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Hint |
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9. |
Consider the graph of the function y = f(x) shown below. Which statement is true? |
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A. |
none of these are correct |
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B. |
because when x = 3, f(x) = -2, and as x approaches 3, f(x) approaches -2. |
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C. |
At x = 3, f(x) = -2 |
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D. |
As x approaches 3, f(x) approaches -2. Therefore, . |
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Hint |
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10. |
Simplify the expression sin x + 4 cos x + 2 sin -x - 2 cos -x |
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A. |
2 cos x - sin x |
B. |
1 |
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C. |
3 sin x + 2 cos x |
D. |
0 |
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Hint |
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11. |
Solve sec2 x = - 2 for -90° < x < 90°. |
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A. |
-30°, 30° |
B. |
0° |
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C. |
60° |
D. |
-60°, 60° |
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Hint |
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12. |
Find the distance from the origin to the graph of 2x + y = 15. |
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A. |
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B. |
undefined (cannot divide by zero) |
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C. |
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D. |
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Hint |
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13. |
Find the magnitude of the resultant of a 7-newton force at an angle of 35° above the x-axis and a 12-newton force at an angle of 35° below the x-axis. |
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A. |
15.8 N |
B. |
18.1 N |
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C. |
11.6 N |
D. |
7.4 N |
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Hint |
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14. |
Write the equation of a circle that passes through points (1, 2), (-1, 4) and (-3, 2) in standard form. |
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A. |
(x + 1) 2 + (y - 3) 2 = 4 |
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B. |
(x - 1) 2 + (y + 3) 2 = 4 |
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C. |
(x + 1)2 + (y - 2) 2 = 4 |
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D. |
(x - 1) 2 + (y - 2) 2 = 4 |
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Hint |
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15. |
The equation of a circle is (x - 8) 2 + (y + 3)2 = 48, find the center and the radius. |
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A. |
(-8, -3);  |
B. |
(8, 3);  |
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C. |
(8, -3);  |
D. |
(-8, 3);  |
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Hint |
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16. |
The population of a certain city can be modeled by the equation y = 22,219e0.027t, where t is the number of years since 1946. What was the population of that city in 1978? |
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A. |
52,718 |
B. |
47,321 |
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C. |
40,243 |
D. |
49,946 |
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Hint |
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17. |
Solve 46x = 496. |
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A. |
0.6472 |
B. |
3.6413 |
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C. |
0.7462 |
D. |
4.4771 |
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Hint |
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18. |
During a particular hurricane in the Caribbean, a meteorologist determined that the odds of it hitting Jamaica are 2 to 3. What is the probability of this happening? |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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19. |
In a sample of 3,000 used cars, the average number of miles each car has been driven was 23,082 with a standard deviation of 4,608 miles. Find an interval of the number of miles about the sample mean that has a 1% level of confidence. Use the table below to help you. |
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A. |
22,865–23,299 |
B. |
22,917–23,246 |
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C. |
23,031–23,132 |
D. |
23,003–23,160 |
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Hint |
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20. |
Use limits to find the area between the graph of and the x-axis from x = 0 to x = 4. |
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A. |
128 |
B. |
32 |
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C. |
64 |
D. |
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Hint |
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