Rationalize the denominator. Assume that all variables represent non-negative real numbers. Make sure you simplify the final answer.
A. 
B. 7
- 2
C. 7
- 14
D. 7
+ 14
Answer: C
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Use the general multiplication rule to find the indicated probability.In January in a certain city the unconditional probability of rain on any given day of the month is 0.400. But the probability of rain on a day that follows a rainy day is 0.600 and the probability of rain on a day following a nonrainy day is 0.250. Find the probability of rain on three randomly selected consecutive days in January.
A. 0.064 B. 0.090 C. 0.216 D. 0.144
Provide an appropriate response.Write the cube root of x in radical form.
A. 
B. 
C. x3
D. x
For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.f(x) = x - 8; g(x) = 7x2;
Find f - g.
A. (f - g)(x) = 7x2 + x - 8; (-?, ?) B. (f - g)(x) = -7x2 + x - 8; (-?, 8) ? (8, ?) C. (f - g)(x) = -7x2 + x - 8; (-?, ?) D. (f - g)(x) = 7x2 - x + 8; (-?, ?)
Solve the problem.Suppose the government wants to impose a tax on fossil fuels to reduce carbon emissions. The cost benefit is modeled by 
where x represents the dollars of tax per ton of carbon emitted and P represents the percent reduction in emissions of carbon. (P is in decimal form.) Determine P when 
Round to three decimal places.
A. -0.19 B. 0.242 C. -0.237 D. 1.758