Answer:
Step-by-step explanation:
Given that a bacteria culture initially contains 100 cells and grows at a rate proportional to its size.
i.e. P' = kP where k = constant of proportionality
We separate variables and solve this Differential equation.
When t =0 P(0) = A = 100
So equatin is
to find k
When t=1, P =590
So
Answer:
isnt it 41
Step-by-step explanation:
Answer:
add
Step-by-step explanation:
23456
200,000 because the numbers in the middle are low
Answer:
x=-2
Step-by-step explanation:
To solve this, let's set the two exponents so that they have the same base. We know that 9 is 3², so we can rewrite the left side as (3²)^(x-8), which simplifies to 3^(2x-16). Now, we have 3^(2x-16) = 3^(4x-12). Since the bases are equal, the exponents are also equal. Therefore, 2x-16 = 4x-12. When we solve, we get -2x = 4, so x=-2. Hope this helps!