Aculture started with 1,500 bacteria. after 5 hours it grew to 2,300 bacteria. how many bacteria with be present after 12 hours? plsss

4185

Step-by-step explanation:

A culture of bacteria grows exponentially according to the following general exponential growth function;

where;

p(t) is the population at any given time t.

p(0) is the initial population

k is the growth constant

From the information given we have;

p(0) = 1500

at t = 5, p(t) = 2300; p(5) = 2300

We shall use this information to determine the value of k;

Divide both sides by 1500;

Therefore, the population of the bacteria at any time t is given by;

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .