Use the formula p=ie^kt. a bacterial culture has an initial population of 1 . if its population declines to 3000 in 8 hours , what will it be at the end of 10 hours?

27

Step-by-step explanation:

Using the formula P =Ie^kt.

If bacterial culture has an initial population of 10,000, the equation becomes,

10,000 = Ie^k(0)... 1 where t = 0

10000 = I

If its population declines to 3000 in 8 hours, P = 3000 and t = 8hours

This gives;

3000 = Ie^8k... 2

From equation 2, we take natural logarithm of both sides to have;

ln3000 = I lne^8k

ln3000 = 8Ik

k = ln3000/8I

k = ln3000/8(10000) since I is 10000

k = ln3000/80000

k = 8/80000

k = 0.0001

At the end of 10hours, the population will become;

Since P = Ie^kt

I = 10000 k = 0.0001 and t = 10

P = 10000e^(0.0001×10)

P = 10000e^0.001

P = 10000×0.0027

P = 27

The population of the bacteria will have reduced to about 27population after 10hours

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

283 square feet

step-by-step explanation:

good luck