Ascientist studying bacteria begins with 20 cells. the bacteria population doubles every hour. complete the table below to determine after how many hours there will be more than 500 bacteria cells. time (hours) number of bacteria cells 0 20 1 40 2 80 3 4 5 6 write an exponential function to model this situation. predict the bacteria population after 11 hours.

1)

t=5 hours.

2)

40960 cells.

Step-by-step explanation:

A scientist studying bacteria begins with 20 cells.

The bacteria population doubles every hour.

Let P(t) determines the population of the bacteria in 't' hours.

Hence, by the given information our function P(t) is modeled as:

Now, we have to find the value of 't' such that:

P(t)>500

i.e.

on taking logarithmic function on both side we get:

i.e. after 5 hours the population of the bacteria will exceed 500.

Now we have to find the value of function P(t) when t=11.

i.e.

Hence , the population of bacteria after 11 hours is:

40960 cells.

step-by-step explanation:

ask goog great chance of finding the solution there

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b