A culture of bacteria has an initial population of 2900 bacteria and doubles every 5 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P0⋅2 dt , where P_tP is the population after t hours, P_0P0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 13 hours, to the nearest whole number?

17,582

Step-by-step explanation:

Initial Population,

Rate of Increase, r = 2

Doubling Time, d=5 Hours

P(t)=Population after t hours

We want to determine the population of bacteria after 13 hours.

i.e When t=13 hours

The population after 13 hours is 17,582 to the nearest whole number.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is