Solve the problem.Given the velocity and initial position of a body moving along a coordinate line at time t, find the body's displacement as a function of time.v = -12t + 6, s = 10 when t = 0.
A. s = -6t2 + 6t - 10
B. s = -6t2 + 6t + 10
C. s = -12t2 + 6t + 10
D. s = 6t2 + 6t - 10
Answer: B
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Simplify the difference quotients and
for the following function. Rationalize the numerator when necessary.f(x) = 4x3
A. 4x2 + 4xh + 4h2; 4x2 + 12ax + 12a2 B. 12x2 - 12x - 4h; 4x2 - 4ax - 4a2 C. 4x2 + 4xh + 4h2; 12x2 + 12ax + 12a2 D. 12x2 + 12xh + 4h2; 4x2 + 4ax + 4a2
Round the money amount to the specified place.$52.14 to the nearest dollar
A. $52.10 B. $53 C. $52.14 D. $52
Perform the operation and write the result in the standard form.(-4 - 6i) - (6 - i)
A. -10 + 5i B. 10 + 5i C. -10 - 5i D. -10 - 6i
Solve the problem.Let I0 be the intensity of sound at the threshold of human hearing. The decibel level of a sound with intensity I is given bydB = 10 log10 .If the intensity of a sound increases by a factor of 8, how is the decibel level affected? Round your answer to the nearest tenth.
A. The decibel level increases by 1.9. B. The decibel level increases by 0.8. C. The decibel level increases by 9.0. D. The decibel level increases by 0.9.