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:
m = -5
Step-by-step explanation:
Simplify both sides of the equation.
4(m−2)=2(m−9)
(4)(m)+(4)(−2)=(2)(m)+(2)(−9)(Distribute)
4m+−8=2m+−18
4m−8=2m−18
Subtract 2m from both sides.
4m−8−2m=2m−18−2m
2m−8=−18
Add 8 to both sides.
2m−8+8=−18+8
2m=−10
Divide both sides by 2.
2m/2 = -10/2
m = -5
Answer:
Step-by-step explanation:
<u>Area of circle:</u>
<u>Circumference of circle:</u>
<u>Given</u>
<u>Find r using the second formula:</u>
- 2πr = 55
- 2*3.14r = 55
- r = 55/6.28
- r = 8.8 (rounded)
<u>Find area using the first formula:</u>
- A = 3.14*8.8²
- A = 243 m² (rounded)
Answer:
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
answer:
2y(x³+4x-2x²-8)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
answer:
2y(x³+4x-2x²-8)
2y(x³-2x²+4x-8)
2y(x²(x-2)+4(x-2))
2y(x²+4)(x-2)
Answer:
all work shown and pictured
