Answer:
Step-by-step explanation:
Area of box = 14^2 = 196 in^2
Radius r of pizza = 12/2 = 6
Area of pizza = πr² = 36π ≈ 113.04 in^2
68 miles to 42.5's percent of decrease is: 37.5%
Using proportions. 68 miles - 42.5 = 25.5
25.5 x
------ = -----
68 100
Cross multiply:
25.5 x 100 = 2550
68 multiply x = 68x
2550 divided by 68 = 37.5
x = 37.5%
Red box
measurement from the center of circle to the edge of a circle
Answer:
The differential equation is ![\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20k%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
Step-by-step explanation:
From the question we are told that
The number of students are 
The number of student that have contracted the flu is x(t)
The number of student that don't have the flu is mathematically represented as

The rate at which the disease spread is proportional to the number of interactions between students with the flu and students who have not yet contracted it, which can be mathematically represented as
![\frac{dx(t)}{dt} \ \ \ \alpha\ \ \ x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%5C%20%5C%20%5C%20%5Calpha%5C%20%5C%20%5C%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
=> ![\frac{dx(t)}{dt} = k x(t) [7000 - x(t)]](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%28t%29%7D%7Bdt%7D%20%3D%20k%20%20%20x%28t%29%20%5B7000%20-%20x%28t%29%5D)
Answer:
a.x=4
b.x=4
c.(b)
Step-by-step explanation:
We are given that

a. First we adding x on both sides we get


Now, subtract 5 on both sides we get


b.
We are subtracting 9 from both sides we get



We can solve equation both approach a and b
But I prefer (b) because in approach (b)
There are only 3 step in which we can get answer but in approach (a) we can get answer in 4 steps .
Hence, I prefer approach (b)