Solve.The thickness of an airport runway's pavement is determined by the weight of the planes using it. The relationship between runway thickness x, in inches, and gross airplane weight y, in thousands of pounds, can be modeled by the equation   If a loaded cargo plane weighs 300,000 pounds, what must the minimum thickness of the runway be? Round any partial inch up to the nearest whole inch.

A. 39 in.
B. 11 in.
C. 12 in.
D. 40 in.


Answer: C

Mathematics

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Simplify.

A.
B.
C.
D.

Mathematics

Do not use a calculator. Find an exact value of s in the specified interval with the given circular function value.cos s = - 

A.
B.
C.
D.

Mathematics

Solve the problem.Given that the polar equation r =  models the orbits of the planets, compare Earth's orbit relative to the sun with that of Pluto and describe the difference. For Earth,  and  For Pluto,  and 

A. Earth circles the sun, but Pluto does not. B. Earth's orbit closely approximates a circle with the sun positioned at its center. Pluto's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from the center. C. Pluto's orbit closely approximates a circle with the sun positioned at its center. Earth's orbit is more elliptical with the sun positioned on its long axis about 10 astronomical units away from the center. D. The orbits of Earth and Pluto are both circular, with the sun positioned at their centers, but the diameter of Pluto's orbit is about 40 times that of Earth.

Mathematics

Provide an appropriate response.A store sells two types of calculators. In order to cover overhead, it must sell at least 40 calculators total per week, and in order to satisfy distribution requirements, it must sell at least twice as many of type II as type I. Write a system of inequalities to describe the situation. Let x be the number of type I that it sells in a week and y be the number of type II that it sells in a week. Find the region described by the system of linear inequalities.

What will be an ideal response?

Mathematics