Answer:
![\dfrac{dx}{dt}= kx[6000-x], x(0)=0, k>0](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%7D%7Bdt%7D%3D%20kx%5B6000-x%5D%2C%20x%280%29%3D0%2C%20k%3E0)
Step-by-step explanation:
Total Number of Students =6000
Number of students who have contracted the flu =x(t)
Number of students who have not contracted the flu =6000- x(t)
Now, the rate at which the disease spreads is proportional to the number of interactions between students with the flu and students who have not yet contracted it.
![\dfrac{dx(t)}{dt}\propto x(t)[6000-x(t)] \\$Introducing the constant of proportionality, k, we have:\\\dfrac{dx}{dt}= kx[6000-x]](https://tex.z-dn.net/?f=%5Cdfrac%7Bdx%28t%29%7D%7Bdt%7D%5Cpropto%20x%28t%29%5B6000-x%28t%29%5D%20%5C%5C%24Introducing%20the%20constant%20of%20proportionality%2C%20k%2C%20we%20have%3A%5C%5C%5Cdfrac%7Bdx%7D%7Bdt%7D%3D%20kx%5B6000-x%5D)
Initially, the campus is uninfected, therefore: x(0)=0
Therefore, a differential equation governing the number of students x(t) who have contracted the flu is:
Answer:
D
Step-by-step explanation:
So first you would set your two numbers as variables. Let y be the greater number and x be the smaller number. This means that our equation for y will be x + 4. Now all we need to do is add x and y. INSTEAD of using y, we will SUBSTITUDE with the equation for y, x + 4. Now our equation looks like
x + (x + 4) = 56
Answer:27.5%
Step-by-step explanation:
To calculate the percentage discount between two prices, follow these steps:
- Subtract the post-discount price from the pre-discount price.
- Divide this new number by the pre-discount price.
- Multiply the resultant number by 100.
- Be proud of your mathematical abilities.
Answer:
positive 11x+ positive 14 to the right is greater than negative 8 to the left
Step-by-step explanation:
hope I helped
The square root of 894916 is 946
