Use a Venn Diagram and the given information to determine the number of elements in the indicated set.n(U) = 56, n(A) = 25, n(B) = 24, n(C) = 24, n(A ? B) = 7, n(A ? C) = 5,  and  Find 

A. 20
B. 3
C. 4
D. 17


Answer: D

Mathematics

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Solve the problem.A spring with a spring constant k of 300 newtons per meter is loaded with a 12-kilogram mass and allowed to reach equilibrium. It is then stretched an additional 0.4 meter and released. Find the equation of motion. Neglect friction.

A. y = 0.4 sin 25t B. y = 0.4 cos 5t C. y = 0.4 sin 5t D. y = 0.4 cos 15.653t

Mathematics

Use a graphing calculator to solve the system of equations. Round your solutions to one decimal place.2.7x - 1.5y + 3.6z = -0.43.3x - 7.0y - 1.4z = -5.02.4x - 2.9y + 4.2z = -3.7

A. (7.0, 6.7, -2.9) B. (1.7, 1.7, -0.7) C. (3.5, 3.4, -1.4) D. (13.9, 13.4, -5.7)

Mathematics

Solve the problem.Sue had $948 in her bank account. She deposited a $841 paycheck and a  paycheck. How much did she deposit and what was her new balance?

A. $1050; $1791 B. $943; $1881 C. $943; $1891 D. $1789; $1891

Mathematics

Solve the problem.A rectangular print has a perimeter of 66 inches. The length is 9 inches greater than the width. Find the width of the print.

A. 21 in. B. 30 in. C. 33 in. D. 12 in.

Mathematics