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 = 5ekxwhere x is the variable concentration of alcohol in the blood and k is a constant.Suppose that a concentration of alcohol in the blood of 0.07 results in a 10% risk  of an accident. Find the constant k in the equation.Using this value of k, what is the risk if the concentration is 0.11?

What will be an ideal response?


k =  ? 9.90; about 14.9%

Mathematics

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Simplify, then write in descending order.9x7 + 9x4 + 7 + 3x7 - 1

A. 9x7 + 12x4 + 6 B. 9x4 + 12x7 + 6 C. 12x7 + 9x4 + 6 D. 21x4 + 6

Mathematics

Solve the equation. Leave your answer in exact form. Do not approximate.ex + 6 = 8

A. x = e48 B. x = ln 8 - 6 C. x = ln 14 D. x = e8 + 6

Mathematics

Solve the rational inequality. +  ? - 

A. [-4, -2) ? (-2, 1] B. [-4, -2) ? [1, 2) C. (-?, -4 ] ? (-2, 1] ? (2, ?) D. (-?, -2 ] ? [ 1, 2)

Mathematics

Graph the function by hand. Use the graph to (a) find the range, (b) give the interval over which the function is increasing, and (c) give the interval over which the function is decreasing. Round approximations to two decimal places.f(x) = 

A. (a) [0, ?) (b) None (c) (-?, 4) B. (a) (-?, ?) (b) None (c) (-?, ?) C. (a) [0, ?) (b) {4} (c) (-?, 4) D. (a) (-?, 4) (b) None (c) (-?, 4)

Mathematics