Solve the problem. Round your answer to the nearest whole number.In an epidemiological model used to study the spread of drug use, a single drug user is introduced into a population of N non-users. Under certain assumptions, the number of people expected to use drugs as a result of direct influence from each drug user is given by 
, where b and k are constants. Find the value of S.
A. 3Ne-bkt
B. 3N/(b + k)
C. N(1 - e-kt)e-bt
D. 3N/[b(b + k)]
Answer: D
Mathematics
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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 (0, ±9) and foci at 
.
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
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Find the derivative of the given function.y = (tan-1 5x)3
A. 15(tan-1 5x)2
B. 
C. 
D. 
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Decide whether the statement is true or false.sin 59° < cos 59°
A. True B. False
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Perform the operation indicated. Simplify.
+ 
A. 
B. 
C. 
D. 
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