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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The function s = f(t) gives the position of a body moving on a coordinate line, with s in meters and t in seconds.s = - t3 + 6t2 - 6t, 0 ? t ? 6Find the body's displacement and average velocity for the given time interval.

A. -36 m, -12 m/sec B. 396 m, 66 m/sec C. 36 m, 6 m/sec D. -36 m, -6 m/sec

Mathematics

Solve the problem.Peter must practice the piano  per week. He has already practiced  How many more hours does he need to practice?

A. 7 hr
B. 1 hr
C. 6 hr
D. 1 hr

Mathematics

Calculate the unit vector u = (cos ?)i + (sin ?)j for the given direction angle.? = 

A. i - j
B. - i + j
C. i + j
D. - i - j

Mathematics

Let n(U) = 100, n(A) = 24, n(A ? B) = 74, and n(A ? B) = 10.(a) Determine n(B).(b) Determine n(B').(c) Determine n(A' ? B').

What will be an ideal response?

Mathematics