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)
=>
Answer:
I like to compare them all the same. Put all the equations in slope intercept form y=mx+b
So you need to isolate y.
Step-by-step explanation:
Main equation to compare y=2/3x + 4
If they have the same slope they are parallel. If they have opposite reciprocal slopes then they are perpendicular.
First one is y=2x +12 neither
Second one is y= -3/2x -1 perpendicular
Third one is y= 2/3x - 1 parallel
Forth one is y= 2/3x + 11/3 parallel
Answer: so there are 666 multiples of 3 between 2 and 2000.
Step-by-step explanation:
the smallest number = 3 which is 3*1. The largest number is = 1998 = 3*666
multiples of 3 between {2,2000} = 666-1+1 = 666
Answer:
A.
2 72 square root of 7
Step-by-step explanation:
Combine the fractions by finding a common denominator.
Exact Form:
2
7
Decimal Form:
0.
¯¯¯¯¯¯¯¯¯¯¯¯
285714
Simplify the expression.
Exact Form:
2
√
7
Decimal Form:
5.29150262
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