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1. |
What are the vertices of the triangle formed? |
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A. |
(100, 400), (400, 500), and (800, 100) |
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B. |
(100, 400), (400, 500), and (100, 800) |
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C. |
(100, 400), (500, 400), and (100, 800) |
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D. |
(100, 400), (500, 400), and (800, 100) |
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Hint |
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2. |
The graph of y = -x2 + 1 is symmetric about __________. |
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A. |
neither the x-axis nor the y-axis |
B. |
both the x-axis and the y-axis |
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C. |
the y-axis |
D. |
the x-axis |
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Hint |
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3. |
Determine whether the function f(x) = 2x2 - x + 2 is continuous at x = 2. |
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A. |
Yes, because the function approaches the same y-value 8 on the left and right sides of x = 2. |
B. |
Yes, because the function is defined at x = 2. |
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C. |
None of these are correct. |
D. |
Yes, because the function is defined at x = 2 and approaches y = 8 on the left and right sides of x = 2. |
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Hint |
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4. |
Suppose y varies directly as x and y = 13 when x = 7. Find the constant of variation and write an equation. |
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A. |
k = and y = x |
B. |
k = and y = x |
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C. |
k = and y = 13 · 7x |
D. |
k = and y = 13 · 7x |
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Hint |
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5. |
Find the area of if d =14.2, D = 33.6°, and E = 15.2°. |
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A. |
about 35.9 square units |
B. |
about 46.5 square units |
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C. |
about 71.9 square units |
D. |
about 62.1 square units |
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Hint |
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6. |
In Hero's Formula, to find the area of a triangle, s in the formula represents ______. |
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A. |
the semiperimeter of the triangle |
B. |
the perimeter of the triangle |
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C. |
the sum of any two of the three sides of the triangle |
D. |
none of these |
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Hint |
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7. |
Find the direction of the resultant of a 100-newton force along the x-axis and a 150-newton force at an angle of 40° above the x-axis. |
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A. |
32.6° |
B. |
12.6° |
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C. |
10.5° |
D. |
24.2° |
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Hint |
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8. |
Use polar form to find the product (4 + 4i)(-2 + 2i). Express the result in rectangular form. |
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A. |
-16 |
B. |
16i |
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C. |
16 |
D. |
-16i |
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Hint |
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9. |
Identify the conic section with equation 8y2 + 2x - 8y - 10 = 0. |
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A. |
ellipse |
B. |
circle |
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C. |
parabola |
D. |
hyperbola |
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Hint |
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10. |
Solve the equation 34x = 8x - 5 by using natural logarithms. |
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A. |
-2.9412 |
B. |
-4.3150 |
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C. |
-3.4271 |
D. |
-4.4912 |
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Hint |
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11. |
Using a standard deck of cards, how many 5-card hands are possible that have 4 aces and 1 king? |
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A. |
96 |
B. |
24 |
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C. |
1 |
D. |
4 |
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Hint |
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12. |
Which of the following graphs represents the function: 
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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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13. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee.Graph the fee schedule for different account balances. |
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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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14. |
Find the minimum value of f(x, y) = x - 4y for the system of inequalities. 2x + y 3 2x + y -2 y 4 x < 1 |
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A. |
-3 |
B. |
16 |
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C. |
-16 |
D. |
-17 |
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Hint |
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15. |
Find the magnitude of for N(-2, -6, -12) and K(3, -6, 7). |
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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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16. |
Write parametric equations for 2x + 4y = 11. |
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A. |
x = 2t - 11 and y = 4t - 11 |
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B. |
x = t and y =  |
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C. |
x = t and y =  |
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D. |
x = and y =  |
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Hint |
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17. |
If one of the endpoints of a segment is at (4, 3), and the midpoint is (-1, -3) what is the other endpoint? |
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A. |
(-7, -5) |
B. |
(1.5, 0) |
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C. |
(-6, -9) |
D. |
(6, 9) |
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Hint |
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18. |
Find the rectangular equation of the curve whose parametric equations are y = 2t2 + 4 and x = 4t, where and identify the conic section. |
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A. |
8y = x2 - 4; parabola |
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B. |
parabola |
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C. |
8y = x2 - 32; ellipse |
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D. |
ellipse |
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Hint |
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19. |
Which series is convergent? |
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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. |
If n is a nonnegative integer, then = ________. |
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A. |
5 |
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B. |
(n + 5) · (n + 4) · (n + 3) · (n + 2) · (n + 1) |
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C. |
(n + 5) · (n + 4) · (n + 3) · (n + 2) · (n + 1) · n |
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D. |
n + 5 |
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Hint |
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