Provide an appropriate response.It is estimated that service industries will grow at the rate of R'(t) = 5e1/(t+1) where t is the time in decades and R(t) is the percent of (non-farming) workers who are employed in the service industry. If 30 percent of the (non-farming) workers are now in the service industry, then use Simpson's rule and n = 4 to approximate 30 + 
the percentage of workers who are working in the service industry in 2 decades.
Fill in the blank(s) with the appropriate word(s).
47.64 percent
Mathematics
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Indicate whether the statement is true always, sometimes, or never.When i is raised to an even power, the result is -1.
A. Always B. Never C. Sometimes
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Use either the binomial theorem or Pascal's Triangle to expand the binomial.(2 - 3y)3
A. 4y - 12y2 + 9y3 B. 4y - 6y2 + 9y3 C. 8 - 36y + 54y2 - 27y3 D. 8 - 12y + 18y2 - 27y3
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Write the slope-intercept form of the equation of the line through the given point perpendicular to the given line. point: (-4, 9) line: 6x - 30y = 6
A. ?
B. ?
C. ?
D. ?
E. ?
Mathematics