Solve the problem.A new exhibit is scheduled to open at the local museum. Museum officials expect that 8000 people will visit the exhibit in its first week, and that the number of visitors will drop by 10 people per week after the first week during the first 6 months. Find the total number of visitors expected in the exhibit's first 7 weeks.
A. 47,850 visitors
B. 55,730 visitors
C. 55,790 visitors
D. 39,850 visitors
Answer: C
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Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse with vertices (±6, 0) and foci at (±5, 0)
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Evaluate the integral.
A. 
B. 700
C. 1050
D. 350
The growth rate G, in hundreds of new cases per day, in the spread of an epidemic depends on the number S, measured in hundreds, of currently sick individuals. The relationship, which is valid for up to 4000 currently sick people (that is, 
), is
.
A: What is the smallest value of S for which the growth rate is 1614 new cases per day (that is, 
)? Round your answer for S to the nearest whole number.B. For S between 0 and 40, what number of currently sick individuals gives the maximum growth rate, and what is that growth rate? Round the growth rate to the nearest whole number, and remember that G is measured in hundreds of new cases per day.C: Explain what is happening at value you found in part B.
What will be an ideal response?
Determine where the given function is concave up and where it is concave down. f(x) = 7x - x3
A. Concave up on (0, ?), concave down on (-?, 0) B. Concave down for all t C. Concave up on (-?, 0), concave down on (0, ?) D. Concave up on (-?, 0) and (1, ?), concave down on (0, 1)