Provide an appropriate response.For what values of x can we replace cos x by  with an error of magnitude no greater than 

A. -0.416 ? x ? 0.416
B. -0.518 ? x ? 0.518
C. -0.262 ? x ? 0.262
D. -0.331 ? x ? 0.331


Answer: B

Mathematics

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Write a system of two inequalities that describe the constraints in the problem.An office manager needs to buy new filing cabinets. Cabinet A costs $6, takes up 5 square feet of floor space, and holds 7 cubic feet of files. Cabinet B costs $8, takes up 8 square feet, and holds 14 cubic feet. He has only $66 to spend and the office has room for no more than 59 square feet of cabinets. Let x equal the number of cabinet A's bought and y equal the number of cabinet B's bought.

A. 6y + 8x ? 66, 5y + 8x ? 59 B. 7x + 14y ? 59, 59x + 66y ? 8 C. 6x + 8y ? 66, 5x + 8y ? 59 D. 7y + 14x ? 59, 59y + 66x ? 8

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Graph the linear equation in two variables.y = -5x

A.

B.

C.

D.

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Write the number in scientific notation.A business projects next year's profits to be $151,000,000.

A. 1.51 × 107 B. 1.51 × 10-9 C. 1.51 × 108 D. 1.51 × 109

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Solve the equation.8r2 = 4r

A. 0, 
B.
C. 0
D. 0, 2

Mathematics