Answer:
The rate of change of radius is 0.0530 ft/sec.
Step-by-step explanation:
Given : Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.
To find : How fast is the radius increasing after 2 minutes?
Solution :
The volume of the sphere is 
Differentiating w.r.t. r,
We have given, Helium is pumped into a spherical balloon at a rate of 3 cubic feet per second.
i.e. 
Integrate w.r.t. t,
Assuming V=0 when t=0 then C=0
So, 
![r=\sqrt[3]{\frac{t}{4\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7Bt%7D%7B4%5Cpi%7D%7D)
Now, we apply chain rule
i.e. 
The radius increasing after 2 minutes i.e. at 
Therefore, the rate of change of radius is 0.0530 ft/sec.
The second option ADV and EDA
Answer: The number of dogs in all of the city's animal shelters is puppies = 270
Step-by-step explanation:
Given: A random sample of dogs at different animal shelters in a city shows that 10 of the 55 dogs are puppies.
The city's animal shelters collectively house 1,485 dogs each year.
The number of dogs in all of the city's animal shelters is puppies = 
Hence, The number of dogs in all of the city's animal shelters is puppies = 270
Answer: 
Step-by-step explanation:
The formula for finding the nth term of an arithmetic sequence is given as:
first term = -15
common difference = -6 - (-15) = 9
number of terms
substituting into the formula , we have :
