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.
Answer:
Another way of saying since the number of baskets scored by team A is 2, and the number of baskets scored by team B is 3, the answer is
C. 2 to 3. :)
Step-by-step explanation:
Answer:1
Step-by-step explanation:
Answer:
800,000
Step-by-step explanation:
If the number was above 850,000 it would round up. If the number was 849,999 or below it would round down. In other words, you look at the number to the right of the hundred thousands place, or the number in the tens of thousands place, and if it is 5 or above you round up. 4 and below you round down.
Answer:
<h3>The translation statement for the given equation

is " Three-fourths of a number minus twelve is the same as twelve. "</h3>
Step-by-step explanation:
Given equation is 
<h3>To find the statement which could be a translation of the given equation :</h3>

- The above equation can be written as
- Three-fourths of a number x minus twelve is equal to twelve.
<h3>Therefore the translation statement for the given equation

is " Three-fourths of a number minus twelve is the same as twelve. "</h3>
The option is <u> " Three-fourths of a number minus twelve is the same as twelve. "</u> correct