A population of bacteria can be modeled by the function f(t)= 400(0.98)t, where t is time in hours. What is the rate of change in the function?

the rate of change is f'(t) = (-8.08)*( 0.98^t )

Step-by-step explanation:

If the function is

f(t)= 400* (0.98)^t

then the rate of change of f(t) , that is f'(t)=df(t)/dt is

f'(t) = 400* d ( 0.98^t ) / dt

since the derivative of a function of the type g(x) = a^x is g'(x)= ln(a) * a^x , then

f'(t) = 400* d ( 0.98^t ) / dt = 400*ln (0.98) * ( 0.98^t )

f'(t) = (-8.08)*( 0.98^t )

Step-by-step explanation:

decrease by 2% per hour

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation:

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!