Per month means multiply
Total means the amount your ending with but for this you could say add
Final answer f = 4.75 + 10m
Answer:
After 16 hours bacterial count will be 11600.
Step-by-step explanation:
Bacterial growth is always an exponential growth in a given culture.So the formula for the growth will be
Final counts of bacteria = Initial counts × 
Given from first part Initial counts = 5000
Final counts= 6500 and time of growth = 5 hours
Then we will get the value of rate of growth of bacteria from the bacteria
⇒ 6500 = 5000×

![Rate = \sqrt[5]{1.3} = 1.05](https://tex.z-dn.net/?f=Rate%20%3D%20%5Csqrt%5B5%5D%7B1.3%7D%20%3D%201.05)
Now again to get the value of bacteria after 16 hours
Final Count = 5000×
= 5000×2.32
= 11600
Suppose the larger pump alone can empty the tank in L hours, and the smaller pump can finish the job in S hours, then each hour the large pump empties 1/L portion of the tank, and the small pump empties 1/S per hour
Working together for three hours, they empty the whole tank, which is 100% of it, so 3/L+3/S=100%=1
Larger pump can empty the tank in 4 hours less than the smaller one, so L=S-4
replace L: 3/(S-4)+3/S=1
Make the denominator the same to solve for:
3S/[S(S-4)] +3(S-4)/[S(S-4)]=1
(3S+3S-12)/[S(S-4)]=1
(3S+3S-12)=[S(S-4)]
S^2-10s+12=0
use the quadratic formula to solve for S
S is about 8.6
The answer is not whole hour.
Answer:
x = 3.3 and -0.3
Step-by-step explanation:
Given the expression
1/x-4 + x/x-2=2/x^2-6x+8
Find the LCM
x-2+x(x-4)/(x-4)(x-2) = 2/x^2-6x+8
Since the denominator, are the same they cancels out
x +1 + x(x-4) = 2
x+1 + x²-4x = 2
x²-3x + 1 - 2 = 0
x² - 3x - 1 = 0
Factorize
x =3±√9+4/2
x =3±√13/2
x = 3±3.6/2
x= 6.6/2 and -0.6/2
x = 3.3 and -0.3