Answer:
cm per second
![\frac{dS}{dt}=320 square centimeter per secondStep-by-step explanation:We are given that volume of sphere [tex]V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=%5Cfrac%7BdS%7D%7Bdt%7D%3D320%20square%20%20centimeter%20per%20second%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3EStep-by-step%20explanation%3A%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3EWe%20are%20given%20that%20volume%20of%20sphere%20%3C%2Fp%3E%3Cp%3E%5Btex%5DV%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Volume of sphere is increasing at a constant rate
cubic centimeters per second
We have to find the rate of radius at which increasing
when r= 10 cm
Differentiating w.r.t time


cm per second
Now ,we are given that surface area of sphere

Differentiate w.r.t time then we get


cm per second
One way is to find the prime factorization for the denominators which are 3 and 4. The prime factorization of 3 would be 1 x 3 and 4 would be 2 x 2. Since we only use prime numbers to find the prime factorization we would have 2 x 2 x 3 = 12 which give us the the least common denominator for 2/3 and 3/4. Final answer is 12.
Answer:
8 ft 8 in
Step-by-step explanation:
104/12 = 8.666...
This shows that there are 8 total feet because there are 12 inches in a foot
Then, multiply 8*12 to get 96 in order to get the remainder of the inches left that do not make up one whole foot.
Then subtract 96 from 104 (104-96) to get the remainder which is 8 inches.
Answer:
-1
Step-by-step explanation:
Answer:
Ok so first you want to distribute the -1 in front of the 3x^2-7x+1
Which turns the problem into
X^2+5x-6 -3x^2+7x-1
Then just combine like terms
-2x^2+12x-7
Also ^ followed by the number is the exponent