Solve the problem.The logistic growth model  represents the population of a species introduced into a new territory after t years. When will the population be 80?

A. 18.5 years
B. 6.08 years
C. 21.02 years
D. 8.6 years


Answer: C

Mathematics

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One of sin x, cos x, and tan x is given. Find the other two if x lies in the specified interval.tan x = ,x in 

A. sin x = , cos x = 
B. sin x = - , cos x = - 
C. sin x = , cos x = 
D. sin x = - , cos x = - 

Mathematics

Solve the system of equations by elimination.6x + 36y = 367x - 4y = -4

A. (0, 1) B. (0, 0) C. (1, 0) D. (1, 1)

Mathematics

Discuss the equation and graph it.r =  

A. directrix parallel to polar
axis 2 below pole
focus (0, 0), vertex 

B. directrix perpendicular to polar
axis 2 left of pole
focus (0, 0), vertex 


C. directrix perpendicular to polar
axis 2 right of pole
focus (0, 0), vertex 

D. directrix parallel to polar
axis 2 above pole
focus (0, 0), vertex 

Mathematics

Solve the system of equations using matrices. Use Gaussian elimination with back-substitution.3x + 5y - 2w=-132x + 7z - w=-14y + 3z + 3w=1-x + 2y + 4z=-5

A. {(-1, - , 0, )}
B. {(, - , 0, )}
C. {(, -2, 0, )}
D. {(1, -2, 0, 3)}

Mathematics