A sample of bacteria is being eradicated by an experimental procedure. The population is following a pattern of exponential decay and approaching a population of 0. If the sample begins with 500 bacteria and after 11 minutes there are 200 bacteria, after how many minutes will there be 50 bacteria remaining? Round your answer to the nearest whole number, and do not include units. answer

There will be 50 bacteria remaining after 28 minutes.

Step-by-step explanation:

The exponential decay equation is

N= Number of bacteria after t minutes.

= Initial number of bacteria when t=0.

r= Rate of decay per minute

t= time is in minute.

The sample begins with 500 bacteria and after 11 minutes there are 200 bacteria.

N=200

= 500

t=11 minutes

r=?

Taking ln both sides

To find the time when there will be 50 bacteria remaining, we plug N=50, = 500 and   in exponential decay equation.

Taking ln both sides

minutes

There will be 50 bacteria remaining after 28 minutes.

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

x= cost per bracelet

number of bracelets * x + shipping charge = total cost

so

9x+9=72