Solve the problem.A square piece of cardboard is to be formed into an open-topped box by cutting  squares from the corners and folding up the sides. The volume of the resulting box is given by the formula V = 2(x - 4)2, where x is the original length of each side of the piece of cardboard. What is the volume of the box if the original length of each side of the piece of cardboard is 8 inches?

A. 128 in.3
B. 8 in.3
C. 32 in.3
D. 16 in.3


Answer: C

Mathematics

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Provide an appropriate response.Use the fundamental identity cosh2 x - sinh2 x = 1 to verify the identity. 1 - tanh2 x = sech2 x

What will be an ideal response?

Mathematics

Solve the problem.A picture costs $330. The sales tax is $34.65. What is the sales tax rate and what is the total price paid?

A. 1.05%, $364.65 B. 10.5%, $364.65  C. 12.5%, $364.65  D. 11.5%, $364.65 

Mathematics

Solve the problem.A rectangular piece of fabric is  by  A triangular area with a height of  and a base of  is cut from the fabric. What is the area of the fabric that is left over?

A. The area of the fabric that is left over is 192.44 square feet. B. The area of the fabric that is left over is 384.88 square feet. C. The area of the fabric that is left over is 289.2 square feet. D. The area of the fabric that is left over is 216.22 square feet.

Mathematics

Simplify.

A.
B. 5 - a2
C.
D. 5

Mathematics