Answer:

Step-by-step explanation:
Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.
So, dV/dt = 0.03.
We want to show that dS/dt is directly proportional to 1/r.
In other words, we want to establish the relationship that dS/dt = k(1/r), where k is some constant.
First, the volume of a sphere V is given by:

Therefore:

Next, the surface area of a sphere S is given by:

Therefore:

We can divide both sides by 2:

We can substitute this into dV/dt. Rewriting:

So:

Since dV/dt = 0.03 or 3/100:

Therefore:

Where k = 3/50.
And we have shown that dS/dt is directly proportional to 1/r.
42, 63, 75 is the answer
add 63+75 and subtract that answer from 180. that ends up being 42 and then just put in order
Answer:
-12/30, 7/35, 3
Step-by-step explanation:
its the correct order
Answer:
<u>y ≤ 4</u>
Step-by-step explanation:
Solving :
- Highest y-value is 4
- The other y-values are less than 4
- Hence, the range is : <u>y ≤ 4</u>
Answer:
8 brownies
Step-by-step explanation:
Let's figure out how many brownies the class ate
Multiply 48* 5/6=40
Then, subtract how many the class ate from the total
48-40=8
So, he brought home 8 brownies
Hope this helped!