factor took out was , And resultant expression is
.
<u>Step-by-step explanation:</u>
Here we need to Take a factor out of the square root: sqrt(3y^2) , where y<0 .Let's do this :
The given expression is sqrt(3y^2) or ,
We know that , to take out a factor out of the square root that factor must have a degree in multiple of 2 , as etc . So ,
⇒
⇒
⇒
⇒
⇒
Therefore , factor took out was , And resultant expression is
.
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:
Where, is the initial value, k is the growth constant and t is the number of years.
Putting in the above formula, we get
Taking ln on both sides, we get
Therefore, the number of bacteria will be 15,000 after 0.575 hours.