Answer:
y÷8
Step-by-step explanation:
quotient is just a fancy word for division
volume of cylinder: π * radius² * height
=============
⇒ π * 4² * 4
⇒ π * 16 * 4
⇒ 64π
<u>Thus the volume of cylinder is 64π cm³</u>
Answer:
The equation of the parabola is (x-2)^2 =8(y-2)
Step-by-step explanation:
Given focus is (2,4) and the directrix is y=0 so the parabola axis is parallel to y- axis.
Focus is (α,β+a) and the directrix is of the form y = β-a
so given focus is (2,4) compare (α,β+a)
here β+a = 4 and a=2 and β=2
now given directrix y = β-a = 2-2 = 0
now the general parabola is (x-α)^2 =4a(y-β) ...(1)
now substitute α =2 ,β=2 and a=2 above equation
The equation of the parabola is (x-2)^2 =8(y-2)
Answer:
![a=15849*a_{o}](https://tex.z-dn.net/?f=a%3D15849%2Aa_%7Bo%7D)
Step-by-step explanation:
The Richter scale is a logarithmic scale
![\log_{10}\left( \frac{a}{a_{o}} \right)=4.9\\\left( \frac{a}{a_{o}} \right)=10^{4.9}\\\left( \frac{a}{a_{o}} \right)=10^{4.9}\\\left( \frac{a}{a_{o}} \right)=15,849\\{a}=15,849*{a_{o}}](https://tex.z-dn.net/?f=%5Clog_%7B10%7D%5Cleft%28%20%5Cfrac%7Ba%7D%7Ba_%7Bo%7D%7D%20%5Cright%29%3D4.9%5C%5C%5Cleft%28%20%5Cfrac%7Ba%7D%7Ba_%7Bo%7D%7D%20%5Cright%29%3D10%5E%7B4.9%7D%5C%5C%5Cleft%28%20%5Cfrac%7Ba%7D%7Ba_%7Bo%7D%7D%20%5Cright%29%3D10%5E%7B4.9%7D%5C%5C%5Cleft%28%20%5Cfrac%7Ba%7D%7Ba_%7Bo%7D%7D%20%5Cright%29%3D15%2C849%5C%5C%7Ba%7D%3D15%2C849%2A%7Ba_%7Bo%7D%7D)