So the answer would be <span>x=2 y=5</span>
If your trying to find area....
Cylinder formula is
V= (Pie) 3.14 X r2 X h
[volume = pie 3.14 times the radius squared times the height]
Cone formula is
V= (Pie) 3.14 X r2 X h / 3
[volume = pie 3.14 times the radius squared times the height then divide that answer by 3 ]
Answer:
We are given that the rate of change is proportional to its size S
So, ![\frac{dS}{dt} \propto S](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7Bdt%7D%20%5Cpropto%20S)
![\frac{dS}{dt} = kS](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7Bdt%7D%20%3D%20kS)
![\frac{dS}{S} = kdt](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7BS%7D%20%3D%20kdt)
Integrating both sides
![\log(S)= kt + log c](https://tex.z-dn.net/?f=%5Clog%28S%29%3D%20kt%20%2B%20log%20c)
![\frac{S}{S_0}=e^{kt}](https://tex.z-dn.net/?f=%5Cfrac%7BS%7D%7BS_0%7D%3De%5E%7Bkt%7D)
![S=S_0 e^{kt}](https://tex.z-dn.net/?f=S%3DS_0%20e%5E%7Bkt%7D)
S is the population after t hours
is the initial population
Now we are given that After 6 hours there will be 1200 bacteria
![1200=200 e^{6k}](https://tex.z-dn.net/?f=1200%3D200%20e%5E%7B6k%7D)
![6=e^{6k}](https://tex.z-dn.net/?f=6%3De%5E%7B6k%7D)
![6^{\frac{1}{6}=e^{k}](https://tex.z-dn.net/?f=6%5E%7B%5Cfrac%7B1%7D%7B6%7D%3De%5E%7Bk%7D)
So, ![S=200 \times 6^{\frac{t}{6}](https://tex.z-dn.net/?f=S%3D200%20%5Ctimes%206%5E%7B%5Cfrac%7Bt%7D%7B6%7D)
a)Now the population after t hours as a function of t; ![S=200 \times 6^{\frac{t}{6}](https://tex.z-dn.net/?f=S%3D200%20%5Ctimes%206%5E%7B%5Cfrac%7Bt%7D%7B6%7D)
b) What will be the population after 7 hours?
Substitute t = 7 hours
A bacteria culture starts with 200 bacteria
![S=200 \times 6^{\frac{7}{6}}](https://tex.z-dn.net/?f=S%3D200%20%5Ctimes%206%5E%7B%5Cfrac%7B7%7D%7B6%7D%7D)
![S=1617.607](https://tex.z-dn.net/?f=S%3D1617.607)
c) How long will it take for the population to reach 1750 ?
![1750=200 \times 6^{\frac{t}{6}](https://tex.z-dn.net/?f=1750%3D200%20%5Ctimes%206%5E%7B%5Cfrac%7Bt%7D%7B6%7D)
![\frac{1750}{200} =6^{\frac{t}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1750%7D%7B200%7D%20%3D6%5E%7B%5Cfrac%7Bt%7D%7B6%7D)
![8.75 =6^{\frac{t}{6}](https://tex.z-dn.net/?f=8.75%20%3D6%5E%7B%5Cfrac%7Bt%7D%7B6%7D)
![t=7.26](https://tex.z-dn.net/?f=t%3D7.26)
So, it will take 7.2 hours for the population to reach 1750
Answer:
Hi!
The name of the equation is the Pythagorean Theorem.
A and B both are the lengths of the legs of a right triangle, while C is the length of the hypotenuse.
Hope I helped! Have a good day :)
Answer:
The estimation of 13.07÷7.41 is 1.76383265