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?
(a) | k = 7.74 |
(c) 0.34
(d) 0.07
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Find the quotient and the remainder.x2 + 5x - 15 divided by x + 8
A. x + 3; remainder 9 B. x - 3; remainder 9 C. x - 9; remainder 3 D. x - 3; remainder 0
Find the real solutions of the equation. = -4
A.
B.
C.
D.
Write the equation in vertex form. Identify the vertex.y = x2 + 5x + 2
A. y = (x + 5)2 - 23; (-5, 23)
B. y = (x + 5)2 - 23; (5, 23)
C. y = 2 -
;
D. y = 2 -
;
Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula for an to find a20, the 20th term of the sequence.a1 = - , d =
A. an = n - 3; a20 =
B. an = - n + 3; a20 = -
C. an = n -
; a20 = 25
D. an = - n +
; a20 = - 32