Factor completely.a6 - 64y6
A. (a + 2y)(a - 2y)(a2 + 2ay + 4y2)(a2 - 2ay + 4y2)
B. (a + 2y)(a - 2y)(a4 + 4a2y2 + 16y4)
C. (a3 + 8y3)(a3 - 8y3)
D. (a2 - 4y2)(a4 + 4a2y2 + 16y4)
Answer: A
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Use the Trapezoidal Rule with n = 4 steps to estimate the integral.
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You are driving on a straight road that is inclined upward toward the peak of a mountain. You pass a sign that reads "Elevation 1518 feet". Three horizontal miles further you pass a sign that reads "Elevation 2362.00 feet". A: Think of the direction in which you are driving as the positive direction. What is the slope of the road? (Report your answer in feet per mile.)B: What is the elevation of the road 5 horizontal miles from the first sign?C: The peak of the mountain is 3802 feet. How far in horizontal distance is the first sign from the peak of the mountain?
What will be an ideal response?
Find the nth term an of the geometric sequence.1.4, -0.7, 0.35, -0.175, . . .
A. an = -1.4(0.05)n B. an = -1.4(0.5)n-1 C. an = 1.4(-0.5)n-1 D. an = 1.4(-0.5)n
Round the decimal to the given place value.31.2289, nearest hundredth
A. 31.23 B. 31.13 C. 31.33 D. 31.2289