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:
16 + x2 = 0 (16)
I THINK
Step-by-step explanation: Simplifying
3x2 + 48 = 0
Reorder the terms:
48 + 3x2 = 0
Solving
48 + 3x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-48' to each side of the equation.
48 + -48 + 3x2 = 0 + -48
Combine like terms: 48 + -48 = 0
0 + 3x2 = 0 + -48
3x2 = 0 + -48
Combine like terms: 0 + -48 = -48
3x2 = -48
Divide each side by '3'.
x2 = -16
Simplifying
x2 = -16
Reorder the terms:
16 + x2 = -16 + 16
Combine like terms: -16 + 16 = 0
16 + x2 = 0
The solution to this equation could not be determined.
Answer:
The answer that is C
Step-by-step explanation:
The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.
