Factor completely.p6 + q12r12
A. (p + q2r2)(p - q2r2)(p4 - p2q4r4 + q8r8)
B. (p + q2r2)(p - q2r2)(p2 + pq2r2 + q4r4)(p2 - q2r2 + q4r4)
C. (p3 + q6r6)(p3 - q6r6)
D. (p2 + q4r4)(p4 - p2q4r4 + q8r8)
Answer: D
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Solve the problem.The power P (in W) generated by a particular windmill is given by where V is the velocity of the wind (in mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is
A. 97.3 W/mph B. 21.9 W/mph C. 9.9 W/mph D. 0.7 W/mph
Provide an appropriate response.Simplify:
Fill in the blank(s) with the appropriate word(s).
Find the value of the expression using the given values. +
x = -9, y = -4
A. 97 B. -5 C. 5 D. 13
Solve the problem.Under certain conditions, the power P, in watts per hour, generated by a windmill with winds blowing v miles per hour is given by P(v) = 0.015v3. Find the power generated by 18-mph winds.
A. 0.00006075 watts per hour B. 58.32 watts per hour C. 4.86 watts per hour D. 87.48 watts per hour