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.(a) Suppose that a concentration of alcohol in the blood of 0.07 results in a 12% 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 0.012?(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 = 12.51
(b) 6%
(c) 0.24
(d) 0.07

Mathematics

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Add or subtract.-50 - 50

A. 100 B. 0 C. -150 D. -100

Mathematics

Sketch the graph and show all relative extrema and inflection points.y = x4 - 2x2 + 3

A.

Relative maximum: (0, 3)
Relative minima: (-1, 2), (1, 2)
Inflection points:   ,  
B.

Relative maximum: (0, 3)
Relative minima: (-1, 2), (1, 2)
Inflection points:   ,  
C.

Relative minimum: (0, -3)
Relative maxima: (-1, -2), (1, -2)
Inflection points:   ,  
D.

Relative maximum: (0, 3)
Relative minimum:  
Inflection point:   

Mathematics

Provide an appropriate response. Identify the sentence that could not be the verbal interpretation of the symbolic statement 2x - 5 = 7.

A. Five less than two times a number is seven. B. Twice a number decreased by five is seven. C. Seven is five less than the product of two and a number. D. Twice the difference between a number and five is seven.

Mathematics

Graph the function.f(x) = x 

A.

B.

C.

D.

Mathematics