Step-by-step explanation:
A = midpoint so the left line = right line
3x = 5x - 6
5x - 6 = 3x
5x - 3x = 6
2x = 6
x = 3
Answer:
77,000 fish in 10 years
Step-by-step explanation:
calculator
9, 14, and 22.
The formula for checking if a triangle will work is side a + side b > side c.
The only one that works is 9, 14, and 22.
Step-by-step explanation:
Continuous exponential growth model:
![population = population(t = 0) \times e ^{ \alpha t}](https://tex.z-dn.net/?f=population%20%3D%20population%28t%20%3D%200%29%20%5Ctimes%20e%20%5E%7B%20%5Calpha%20t%7D%20)
Where α is the growth rate parameter.
So if t is the starting point and t+t1 is the point that population is doubled:
![\frac{population(t + t1)}{population(t)} = \frac{2 \times population(t)}{population(t)} = 2 = {e}^{ \alpha \times t1 }](https://tex.z-dn.net/?f=%5Cfrac%7Bpopulation%28t%20%2B%20t1%29%7D%7Bpopulation%28t%29%7D%20%20%3D%20%5Cfrac%7B2%20%5Ctimes%20population%28t%29%7D%7Bpopulation%28t%29%7D%20%20%3D%202%20%3D%20%20%7Be%7D%5E%7B%20%5Calpha%20%5Ctimes%20t1%20%7D%20)
So:
![ln(2) = \alpha \times t1](https://tex.z-dn.net/?f=%20ln%282%29%20%20%3D%20%20%5Calpha%20%20%5Ctimes%20t1)
And as a result, t1, the time needed for the population to double at ANY given point is equal to:
![t1 = \frac{ ln(2) }{ \alpha }](https://tex.z-dn.net/?f=%20t1%20%3D%20%20%5Cfrac%7B%20ln%282%29%20%7D%7B%20%5Calpha%20%7D%20)
Answer:
40902.7
Step-by-step explanation:
9,571.228 ÷ 0.234
= 40902.6837607
= 40902.7 (rounded to the nearest tenth)
Hope this helped!