Solve the problem.A spring on a horizontal surface can be stretched and held 0.5 m from its equilibrium position with a force of 55 N. How much work is done in compressing the spring 3 m from its equilibrium position?

A. 82.5 J
B. 990 J
C. 165 J
D. 495 J


Answer: D

Mathematics

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Represent each circuit with a symbolic statement. Using a truth table, state whether the circuits are equivalent.

A. (p ? ~r) ? [(p ? q) ? r]; (p ? ~r) ? [(p ? q) ? r]; not equivalent B. (p ? ~r) ? [(p ? q) ? r]; (p ? ~r) ? [(p ? q) ? r]; equivalent C. (p ? ~r) ? [(p ? q) ? r]; (p ? ~r) ? [(p ? q) ? r]; not equivalent D. (p ? ~r) ? [(p ? q) ? r]; (p ? ~r) ? [(p ? q) ? r]; equivalent

Mathematics

The function f(x) changes value when x changes from x0 to x0 + dx. Find the approximation error . Round your answer, if appropriate.f(x) = x3, x0 = 2, dx = 0.04

A. 0.004832 B. 0.009664 C. 0.019328 D. 0.014496

Mathematics

Factor by grouping.2a3 - 2a2 + 14a - 14

A. 2(a + 1)(a2 - 7) B. 2(a - 1)(a2 + 7) C. (2a - 1)(a2 + 7) D. 2(a2 - 1)(a + 7)

Mathematics

Solve the problem.Sam and Chad are ticket-sellers at their class play. Sam is selling student tickets for $2.00 each, and Chad selling adult tickets for $5.50 each. If their total income for 24 tickets was $83.00, how many tickets did Sam sell?

A. 10 tickets B. 15 tickets C. 14 tickets D. 16 tickets

Mathematics