Solve the problem.The hemispherical bowl of radius 8 contains water to a depth 1. Find the volume of water in the bowl.

A. ?
B. 349?
C. ?
D. ?


Answer: A

Mathematics

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Show that the equation is an identity.tan(cos-1 x) = 

What will be an ideal response?

Mathematics

Determine the degree of the polynomial.7x2y + 5xy5 + x3y4 + 5x4

A. 7 B. 8 C. 1 D. 3

Mathematics

Solve.The formula for converting Fahrenheit temperatures to Celsius temperatures is  Use this formula to solve the problem. In a certain city, the average temperature ranges from  to  Celsius. Find an inequality that represents the range of Fahrenheit temperatures. If necessary, round to the nearest tenth of a degree.

A. 16.4° ? F ? 27.6° B. -18.4° ? F ? 17.6° C. -82.4° ? F ? -46.4° D. -50.4° ? F ? -14.4°

Mathematics

Solve the problem.The concentration of alcohol in a person's blood is measurable. Suppose that the risk R (given as a percent) of having an accident while driving a car can be modeled by the equation  R = 7ekxwhere x is the variable concentration of alcohol in the blood and k is a constant.(a) Suppose that a concentration of alcohol in the blood of 0.08 results in a 13% risk  of an accident. Find the constant k in the equation.(b) Using this value of k, what is the risk if the concentration is 0.013?(c) Using the same value of k, what concentration of alcohol corresponds to a risk of 100%?(d) If the law asserts that anyone with a risk of having an accident of 12 or

more should not have driving privileges, at what concentration of alcohol in the blood should a driver be arrested and charged with a DUI? What will be an ideal response?

Mathematics