Answer:
Step-by-step explanation:
Solution:-
- We are given a logistic growth model of the fish population cultured. The logistic growth of fish population is modeled by the following equation:
Where, c: the constant to be evaluated.
- We are given the initial conditions for the model where at t = 0. The initial population was given to be:
t = 0 , Po = 160
N ( carrying capacity ) = 9100
- After a year, t = 1. The population was tripled from the initial value. That is P ( 1 ) = Po*3 = 160*3 = 480.
- We will use the given logistic model and set P ( 1 ) = 480 and determine the constant ( c ) as follows:
![P ( 1 ) = \frac{c}{1 + 55.875e^-^ 1^.^1^3^5^0^6^*^1} = 480\\\\c = 480* [ 1 + 55.875e^-^ 1^.^1^3^5^0^6]\\\\c = 9100.024](https://tex.z-dn.net/?f=P%20%28%201%20%29%20%3D%20%5Cfrac%7Bc%7D%7B1%20%2B%2055.875e%5E-%5E%201%5E.%5E1%5E3%5E5%5E0%5E6%5E%2A%5E1%7D%20%3D%20480%5C%5C%5C%5Cc%20%3D%20480%2A%20%5B%201%20%2B%2055.875e%5E-%5E%201%5E.%5E1%5E3%5E5%5E0%5E6%5D%5C%5C%5C%5Cc%20%3D%209100.024)
- The complete model can be written as:
Im probably to late but there is too little info to answer this
Answer:
From first Newton's equation of motion:
Substitute the variables:
Acceleration is 2 ms-²
Well, basically what they are trying to do is isolate the y variable on the left side of the equation in order to get it in slope-intercept form (y=mx+b where "m" equals the slope and "b" is the y-intercept). So, in order to do this they have to do the inverse operations (so if it's adding they subtract, and if it's multiplying they divide.) Anyways, they do this with the intention of getting only the variable "y" on the left side of the equal sign. Once they did all that they got it in slope intercept form, and they know that the coefficient in front of the variable x is the slope.
Answer: The answer is m=1.5
Step-by-step explanation: Divide both sides by 0.5 and you will find m.
