Solve the formula for the given variable.A = 2lw + 2lh + 2wh for w

A. w = 
B. w = A - 2lh - 2l - 2h
C. w =  - 2lh
D. w = 


Answer: D

Mathematics

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In a right triangle, find the length of the side not given. Where appropriate, give an approximation to three decimal places.b = 3, c = 

A. a = 5.745 B. a = 23.812 C. a = 3.873 D. a = 4.873

Mathematics

Rationalize the denominator.

A. -1 - 
B. -1 + 
C. 1 + 
D. 1 - 

Mathematics

Use the graph of the function f(x) to locate the local extrema and identify the intervals where the function is concave up and concave down.

A. Local minimum at x = 1; local maximum at x = -1; concave down on (-?, ?) B. Local minimum at x = 1; local maximum at x = -1; concave down on (0, ?); concave up on (-?, 0) C. Local minimum at x = 1; local maximum at x = -1; concave up on (0, ?); concave down on (-?, 0) D. Local minimum at x = 1; local maximum at x = -1; concave up on (-?, ?)

Mathematics

Solve the problem.Five horses (A, B, C, D, and E) are racing at the local track. According to the oddsmakers, A has a "one in four" probability of winning [i.e. Pr(A) = ], B has a "one in ten" probability of winning, and C has a "one in twenty" probability of winning. The remaining two horses both have the same probability of winning. Find the probability assignment for the probability space.

A. Pr(A) = , Pr(B) = , Pr(C) = , Pr(D) = , Pr(E) = 
B. Pr(A) = , Pr(B) = , Pr(C) = , Pr(D) = , Pr(E) = 
C. Pr(A) = , Pr(B) = , Pr(C) = , Pr(D) = , Pr(E) = 
D. Pr(A) = , Pr(B) = , Pr(C) = , Pr(D) = , Pr(E) = 
E. Pr(A) = , Pr(B) = , Pr(C) = , Pr(D) = , Pr(E) = 

Mathematics