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1. |
The stated weight of the box of soap is 8.3 ounces. The company randomly chooses boxes to test to see whether their equipment is dispensing the right amount of product. If the discrepancy is more than 0.15 ounce, the production line is stopped for adjustments. Identify the type of function that models this situation. |
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A. |
step function |
B. |
a straight line |
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C. |
greatest integer function |
D. |
absolute value function |
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Hint |
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2. |
Describe how the graphs of f(x) = |2x| and g(x) = -|2x| are related. |
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A. |
None are true. |
B. |
The graph of g(x) is a reflection of the graph of f(x) over the x-axis. |
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C. |
The graph of g(x) is a reflection of the graph of f(x) over the x- and y-axes. |
D. |
The graph of g(x) is a reflection of the graph of f(x) over the y-axis. |
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Hint |
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3. |
Solve the equation 2x2 -x + 4 = 0 by any method. |
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A. |
 i |
B. |
 i |
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C. |
i |
D. |
1  i |
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Hint |
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4. |
Use a graphing calculator to write a polynomial function to model the set of data. |
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A. |
0.9x + 1.3 |
B. |
1.3x + 0.9 |
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C. |
1.3x - 0.9 |
D. |
0.9x - 1.3 |
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Hint |
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5. |
Graph R(-3, -145°). |
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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. |
Find (1 + i)-6. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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7. |
In the general equation of a conic, B = 0, A = C = 1, D = -4, E = -6, and F = 4. Write the equation in standard form. |
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A. |
(x - 2)2 + (y + 3)2 = 9 |
B. |
(x - 2)2 + (y - 3)2 = 9 |
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C. |
(x - 3)2 + (y - 2)2 = 9 |
D. |
(x - 3)2 + (y + 2)2 = 9 |
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Hint |
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8. |
At their closest points, two planets are approximately 6.5 × 108 kilometers apart. Write the distance in standard form. |
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A. |
650,000 |
B. |
6,500,000 |
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C. |
650,000,000 |
D. |
65,000,000 |
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Hint |
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9. |
Evaluate  . |
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A. |
256 |
B. |
1024 |
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C. |
2048 |
D. |
512 |
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Hint |
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10. |
Write  as a fraction. |
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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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11. |
Use the first three terms of the trigonometric series to approximate the value of  to four decimal places. |
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A. |
0.0200 |
B. |
0.0408 |
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C. |
1.9800 |
D. |
-0.4665 |
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Hint |
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12. |
The second quartile point is also called the ______. |
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A. |
range |
B. |
mean |
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C. |
median |
D. |
mode |
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Hint |
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13. |
Use the derivative rules to find the derivative of the function
f(x) = (3x - 4)2. |
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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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14. |
Evaluate the indefinite integral  . |
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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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15. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
5x - 3y - 4 = 0 |
B. |
3x + 5y - 50 = 0 |
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C. |
5x - 3y - 12 = 0 |
D. |
5x + 3y - 12 = 0 |
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Hint |
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16. |
Find the value of the determinant  . |
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A. |
-29 |
B. |
-3 |
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C. |
-25 |
D. |
-43 |
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Hint |
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17. |
Determine the equation of the vertical asymptote for the function:
f(x) =  + 2. |
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A. |
y = 0 |
B. |
x = 0 |
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C. |
x = -2 |
D. |
x = 2 |
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Hint |
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18. |
If cos  =  and has its terminal side in the first quadrant, find the exact value of cos  . |
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A. |
- |
B. |
 |
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C. |
- |
D. |
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Hint |
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19. |
Write  as the sum of unit vectors for U(4, 3, -8) and V(-5, -4, -2). |
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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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20. |
A bag contains 6 blue marbles and 2 brown marbles. One marble is randomly drawn and discarded. Then a second marble is drawn. Find the probability that the second marble is blue given that the first marble drawn was blue. |
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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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