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:

Answer:
PM = 26.1
Step-by-step explanation:
If they are both similar shapes, each side must be scaled up to the same factor. To find the missing side length, you must know that the side lengths are multiplied by the exact same number. Knowing this, you can set the ratio of the side lengths equal to each other and then cross-multiply to find the missing side length.
<----- Ratio
<----- Insert side lengths
15x = 392 <----- Cross multiply
x = 26.1 <----- Divide both sides by 15
<h2><em><u>
Answer: 9.58</u></em></h2>
Step-by-step explanation: 431.1/45 = 9.58.
Answer:

Step-by-step explanation:
We are given that a function

We have to find the derivative of the function
Let 

Taking ln on both sides

By using 
Differentiate w.r.t x




Differentiate y w.r.t x

Using the value of du/dx

We have,
f (0) = 7
f (1) = 2f (1-1)-3 = 2×7-3 = 11
f (2) = 2f (2-1)-3 = 2×11-3 = 22 - 3 = 19
Hence 19 is the third no. in the sequence