Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:

Where,
is the initial value, k is the growth constant and t is the number of years.
Putting
in the above formula, we get



Taking ln on both sides, we get

![[\because \ln e^x=x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20e%5Ex%3Dx%5D)



Therefore, the number of bacteria will be 15,000 after 0.575 hours.
Answer:
320x^2+140x-10
Step-by-step explanation:
(16x-1)(20x+10)
320x^2+160x-20x-10
320x^2+140x-10
We have the following expression:

By combining similar terms, we get

now, 2 times 3 is 6 and to add exponents, both the exponents and variables should be alike:

Similarly,

Therefore, the answer is
3y-18
Pull out 3 (common factor):
3(y-6)
A) 3(y-6) is the correct answer
Answer:
????
Step-by-step explanation:
in graph? is in a graph