Answer:
The initial population was 2810
The bacterial population after 5 hours will be 92335548
Step-by-step explanation:
The bacterial population growth formula is:

where P is the population after time t,
is the starting population, i.e. when t = 0, r is the rate of growth in % and t is time in hours
Data: The doubling period of a bacterial population is 20 minutes (1/3 hour). Replacing this information in the formula we get:





Data: At time t = 100 minutes (5/3 hours), the bacterial population was 90000. Replacing this information in the formula we get:



Data: the initial population got above and t = 5 hours. Replacing this information in the formula we get:


Answer:
following are the solution to the given points:
Step-by-step explanation:
In point a:


calculating unit vector:

the point Q is at a distance h from P(6,6) Here, h=0.1

the value of Q= (5.92928 ,6.07071 )
In point b:
Calculating the directional derivative of
at P in the direction of 



In point C:
Computing the directional derivative using the partial derivatives of f.

Answer:
x < 7
Step-by-step explanation:
First apply the -2 onto each term that it is being multiplied onto.
-2x + 6 > - 8
Now subtract six from both sides.
-2x > -14
Now divide by -2.
x < 7
<u>REMEMBER</u>
When doing greater than and less than equations like this, if you divide by a negative you must flip the greater than/less than.
The profit would be the difference between the total amount earned after selling each and every shirt and the costs of buying them so
p(x)= r(x)- c(x)
7x-20?
A cube has equal edges, so 2*2*2 or 2^3 (2 cubed) v=8^3