Solve the problem.A 15-kg mass is attached to a spring that hangs vertically and is stretched 2 m from the equilibrium position of the spring. Assume a linear spring with F(x) = kx. How much work is required to stretch the spring and lower the mass 1.5 m? Round to four decimal places when appropriate.
A. 248.0625 J
B. 303.1875 J
C. 523.6875 J
D. 27.5625 J
Answer: C
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Solve.When a principal P earns an annual interest rate r compounded yearly, the amount A after t years is A = P(1 + r)t. How long will it take for a principal to double at 8% compounded annually? Round to the nearest whole year.
A. t ? 10 years B. t ? 9 years C. t ? 5 years D. t ? 8 years
Find . Express the answer in standard form.z1 =
z2 =
(cos 45° + i sin 45°)
A. +
i
B. - i
C. - -
i
D.
Multiply. Express the answer as a single polynomial in standard form.(9x - 1)(x2 - 5x + 1)
A. 9x3 + 46x2 - 14x + 1 B. 9x3 - 46x2 + 14x - 1 C. 9x3 - 44x2 + 4x - 1 D. 9x3 - 45x2 + 9x + 1
Simplify the rational expression. If the expression is already in simplest form, state this as your answer.
A.
B.
C.
D.