Solve the problem.What are the dimensions of the smallest square that you can make using 12-in. by 16-in. rectangular tiles?

A. 24-in. × 24-in.
B. 96-in. × 96-in.
C. 40-in. × 40-in.
D. 48-in. × 48-in.


Answer: D

Mathematics

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Find at least three nonzero terms [including a0, at least two cosine terms (if they are not all zero) and at least two sine terms (if they are not all zero)] of the Fourier series for the given function.f(x) = x + ? -? ? x < ?

A. f(x) = ? + sin x -  sin 2x +  sin 3x - . . .
B. f(x) = ? + 2 sin x - sin 2x + . . .
C. f(x) = 2 sin x - sin 2x +  sin 3x - . . .
D. f(x) = ? + sin x -  sin 2x + . . .

Mathematics

Calculate using proper order of operations.11 × (22.1 + 0.643)

A. 313.83 B. 250.173 C. 243.743 D. 2,501.73

Mathematics

Provide an appropriate response. Explain why the shortcut for multiplication of the sum and difference of the same two terms works. Create an example to demonstrate if necessary.

What will be an ideal response?

Mathematics

Solve the polynomial equation by factoring.x3 + 3x2 - x - 3 = 0

A. 1, -1, 3 B. 1, -2, 5 C. 1, -1, -3 D. 1, -1, -4

Mathematics