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.
Hello,
ρ=√(4²+3²)=5
tan θ=-3/-4=3/7
==>θ=216,869897...° (since θ is in the III quadrant)≈216.9°
Answer C
Yes I'm supposed to explain this on 20 chaaracters so hopefully this is enough
First of all (3x + 50) is equal to (6x - 10)
so (3x + 50) = (6x - 10)
3x + 50 = 6x - 10
60 = 3x
20 = x
There ya go!
