Length =l
Height = h
Area function = l * h = 924
Perimeter function = 2i + 2h = 122
Divide by 2
I + h = 61.
Plug in I or h for the other variable
I * (61 - I) = 924
61i - i^2 = 924
Factor the function
(-I + 28)(I - 33) = 0
l = 33 as l cannot be negative
61 - 33 = 28
h = 28
Difference between h and l is 33-28=5
Answer:
the formula represent the correct way is π(4)^2 (5)
Step-by-step explanation:
The formula that represent the correct way to calculate is given below:
As we know that
Volume = πr^2 h
where
r denotes the radius i.e. 4 inches
And, h denotes the height i.e. 5 inches
Now placed these values to the above formula
So,
= π(4)^2 × 5
= 80π in^3
Hence, the formula represent the correct way is π(4)^2 (5)
Answer: There are approximately 853827 new cases in 6 years.
Step-by-step explanation:
Since we have given that
Initial population = 570000
Rate at which population decreases is given by
![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Now,
First year =570000
Second year is given by
![570000\times (\frac{1}{3})](https://tex.z-dn.net/?f=570000%5Ctimes%20%28%5Cfrac%7B1%7D%7B3%7D%29)
Third year is given by
![570000(\frac{1}{3})^2](https://tex.z-dn.net/?f=570000%28%5Cfrac%7B1%7D%7B3%7D%29%5E2)
so, there is common ratio ,
it becomes geometric progression, as there is exponential decline.
so,
![570000,570000\times \frac{1}{3},570000\times( \frac{1}{3})^2,......,570000\times (\frac{1}{3})^6](https://tex.z-dn.net/?f=570000%2C570000%5Ctimes%20%5Cfrac%7B1%7D%7B3%7D%2C570000%5Ctimes%28%20%5Cfrac%7B1%7D%7B3%7D%29%5E2%2C......%2C570000%5Ctimes%20%28%5Cfrac%7B1%7D%7B3%7D%29%5E6)
a=570000
common ratio is given by
![r=\frac{a_2}{a_1}=\frac{1}{3}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Ba_2%7D%7Ba_1%7D%3D%5Cfrac%7B1%7D%7B3%7D)
number of terms = 6
Sum of terms will be given by
![S_n=\frac{a(1-r^n)}{(1-r)}](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Ba%281-r%5En%29%7D%7B%281-r%29%7D)
We'll put this value in this formula,
![S_6=\frac{570000(1-(\frac{1}{3})^6}{(1-\frac{1}{3})}\\\\=853827.16](https://tex.z-dn.net/?f=S_6%3D%5Cfrac%7B570000%281-%28%5Cfrac%7B1%7D%7B3%7D%29%5E6%7D%7B%281-%5Cfrac%7B1%7D%7B3%7D%29%7D%5C%5C%5C%5C%3D853827.16)
So, there are approximately 853827 new cases in 6 years.
Answer:
A.
Step-by-step explanation:
I believe it's A. Hope this helps.