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:
5/11 is a fraction, so it is for sure a rational number and a real number.
Since it is a fraction, it is NOT irrational (which means "not rational" or "not a fraction).
It is NOT an integer, whole number, or natural number, becuase it is only a piece of a whole. 5/11 ≈ 0.454545..., and intergers, whole numbers, and natural numbers don't involve decimals.
Answer: 1/9
Step-by-step explanation:
The slope of this line is -9. The slope of the perpendicular line is the opposite reciprocal. The reciprocal of -9 is -1/9, the opposite of that is 1/9
now, this is pretty much the same as the one before it with Jaime, so I'll do this without much fuss.
recall d = rt.
a = Alfonso's rate
with the wind his speed is a + 5, against it is a - 5, 60 miles with it and 30 miles against it, all in the same time of t hours.
I think I need to know what the cat weighs first...
