Solve the problem.A rectangular carpet has a perimeter of 192 inches. The length of the carpet is 76 inches more than the width. What are the dimensions of the carpet?

A. 86 by 10 in.
B. 53 by 63 in.
C. 86 by 96 in.
D. 91 by 96 in.


Answer: A

Mathematics

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Solve the given differential equation.D3y + 2 D2y - 16 Dy - 32y = 0

A. y = C1e4x + C2e2x  B. y = C1e4x + C2e-4x+ C3e2x C. y = C1e4x + C2e-2x  D. y = C1e4x + C2e-4x+ C3e-2x

Mathematics

Solve.log5x = -3

A. x = 2
B. x = -15
C. x = 
D. x = 

Mathematics

Find the center, foci, and vertices of the ellipse. +   = 1

A. center at (0, 0)
foci at (0, 6) and (5, 0)
vertices at (0, 36), (25, 0)
B. center at (0, 0)
foci at (0, - ) and (0, )
vertices at (0, -6), (0, 6)
C. center at (0, 0)
foci at (- , 0) and (, 0)
vertices at (-6, 0), (6, 0)
D. center at (0, 0)
foci at (0, -6) and (0, 6)
vertices at (0, -36), (0, 36)

Mathematics

Simplify the expression. ?

What will be an ideal response?

Mathematics