Solve the problem.If f(x) = 
x2 + 4 and g(x) = 2x - a, find a so that the graph of f ? g crosses the y-axis at 36.
Fill in the blank(s) with the appropriate word(s).
8 or -8
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Find the area of the shaded part of the figure if
,
.
?
?
A. 48
B. 96
C. 12
D. 10
E. none of these
Use the empirical probability formula to solve the exercise. Express the answer as a fraction. Then express the probability as a decimal, rounded to the nearest thousandth, if necessary.The table below represents a random sample of the number of deaths per 100 cases for a certain illness over time. If a person infected with this illness is randomly selected from all infected people, find the probability that the person lives 3-4 years after diagnosis.
A. 
; 0.35
B. 
; 0.538
C. 
; 0.058
D. 
; 0.029
Find the following using a calculator. Round to four decimal places.ln 0.982
A. -0.0079 B. 0.0182 C. -0.0182 D. 0.0079
Solve the problem.Ariel, a marine biologist, models a population P of crabs, t days after being left to reproduce, with the function 
. Assuming that this model continues to be accurate, when will this population become extinct? (Round to the nearest day.)
A. 1512 days B. 707 days C. 911 days D. 547 days