Suppose a population of bacteria is changing at a rate of where t is the time in days. The initial population (when ) is 500. Write an equation that gives the population at any time t.
?

A.
B.
C.
D.
E.


Answer: E

Mathematics

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Find the maximum or minimum value of the given objective function of a linear programming problem. The figure illustrates the graph of the feasible points.Objective Function: z = 5x + 7yFind maximum and minimum. 

A. maximum value: 37; minimum value: 21 B. maximum value: 72; minimum value: 15 C. maximum value: 72; minimum value: 21 D. maximum value: 37; minimum value: 15

Mathematics

Use the graph to find the vertical asymptotes, if any, of the function.

A. none B. y = 0 C. x = 0, y = 0 D. x = 0

Mathematics

Simplify the square root. Assume all variables represent positive real numbers.

A.
B. 11
C.
D.

Mathematics

The displacement from equilibrium of an oscillating weight suspended by a spring is given by , where y is the displacement in centimeters and t is the time in seconds. Find the displacement when

variablename="impvar_80933c9e98794addb4ac32efc" />, rounding your answer to four decimal places. ? A. 2.2693 cm B. -3.3563 cm C. -0.7275 cm D. -6.5364 cm E. 10.0903 cm

Mathematics