Provide an appropriate response.Find the slope of the line that passes through the points (3, 2) and (12, 8).

A. - 
B.
C.
D. - 


Answer: C

Mathematics

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Find the logarithm using the change-of-base formula.log7 0.96

A. -47.6682 B. 7.2917 C. -0.0210 D. -0.0177

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

Find the first term and the common ratio of the geometric sequence.88, 44, 22, 11, 5.5, . . .

A. a1 = 88, r = 0.5 B. a1 = 0.5, r = 2 C. a1 = 88, r = 5.5 D. a1 = 0.5, r = -0.5

Mathematics

Solve the problem for the given information.Find the equation of a line passing through the origin so that the sine of the angle between the line in  and the positive  is .

A. y = x
B. y = x
C. y = x
D. y = x

Mathematics