Solve the three-part linear inequality. Graph the solution set on a number line, and express the solution using interval notation.17 ? 3x + 5 ? 20

A. [-5, -4]

B. [4, 5]

C. (4, 5)

D. (-5, -4)


Answer: B

Mathematics

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Solve the problem.A small frictionless cart, attached to the wall by a spring, is pulled 10 cm back from its rest position and released at time t = 0 to roll back and forth for 4 sec. Its position at time t is . What is the cart's maximum speed? When is the cart moving that fast? What is the magnitude of of the acceleration then?

A. ? ? 3.14 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2 B. 10? ? 31.42 cm/sec; t = 0 sec, 1 sec, 2 sec, 3 sec; acceleration is 0 cm/sec2 C. 10? ? 31.42 cm/sec; t = 0.5 sec, 2.5 sec; acceleration is 1 cm/sec2 D. 10? ? 31.42 cm/sec; t = 0.5 sec, 1.5 sec, 2.5 sec, 3.5 sec; acceleration is 0 cm/sec2

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Provide an appropriate response.Round 54,998 to one nonzero digit.

A. 50,000 B. 0 C. 54,000 D. 60,000

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Provide an appropriate response.If you knew the measurements of the sides of a triangle, how could you determine whether it was a 30°, 60°, 90° triangle?

What will be an ideal response?

Mathematics

Solve the problem.Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by  where x represents the dollars of tax per ton of carbon emitted and P represents the percent reduction in emissions of carbon. (P is in decimal form.) Determine P when  Round to three decimal places.

A. 1.776 B. -0.19 C. -0.218 D. 0.224

Mathematics