Answer:
Step-by-step explanation:
when you are taking (4/10) and dividing it by 2. you have a fraction over a fraction. if you remember what you do to the top part of the equation you do to the bottom. so we want to get rid of dividing by 2. (multiple by the reciprocal) the reciprocal of 2 is 1/2. that will cancel out the bottom part of the equation but what you do to the bottom you have to do to the top. so, (4/10) * 1/2 is the same as (4/10) divided by 2. hope that makes sense. it's much easier to write out then type math...
Complete Question
Bacteria culture A culture of the bacterium Rhodobacter sphaeroids initially had 30 bacteria and t hours later increases at a rate of 2e^2t 1 bacteria per hour. Find the population size after four hours
Answer:
3010
Step-by-step explanation:
We were given the rate: 2e^2t
Step 1
We would integrate
P = Population
dP/dt = 2e^2t
dP =( 2e^2t) dt
∫dP = ∫ 2e^2t dt
P(t) = (2e^2t)/2 + C
P(t) = e^2t + C
Step 2
We solve for C
The culture initially has 30 bacteria
When t = 0
P(0) = 30
P(0) = e^2t + C
30 = e^2× 0 + C
30 = 1 + C
C = 30 - 1
C = 29
Step 3
Find the population size after four hours
t = 4, C = 29
P(t) = e^2t + C
P(4) = e^2 × 4 + 29
P(4) = e^8 + 29
P(4) = 3009.957987
Approximately = 3010 bacteria
Start with 1/3 - 3/4. Find the lowest common demoninator(LCD) which is 12.
4/12 - 9/12.
5/12 are left.
Answer:
30
Step-by-step explanation:
Using the substitution method
5(3) + 3(5) =
15 + 15 = 30
