Answer:
The volume is increasing at a rate of 33929.3 cubic millimeters per second.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere of radius r is given by:
In this question:
We have to derivate V and r implicitly in function of time, so:
The radius of a sphere is increasing at a rate of 3 mm/s.
This means that 
How fast is the volume increasing when the diameter is 60 mm?
Radius is half the diameter, so 
. We have to find 
. So
The volume is increasing at a rate of 33929.3 cubic millimeters per second.
So if it’s 7 years, it would be 50.75%.
20,700-50.75%= 10194.75
That’s just a little below 10800.
6 years would be 43.5%
20,700-43.5%= 11695.5
10194.75 is closer to 10800 than 11695.5. Therefore the nearest year is 7
The domain of a function is the set of values for which the function is defined; i.e. the function outputs a value for an input from the domain. That means that we must be able to plug in numbers for x and get numbers from y.
We can't take the square root of negative numbers (ignoring imaginary numbers), so that means we can take the square root of any non-negative number; i.e. we can take the square root of zero, and any positive number.
Therefore, any function that can take in values of x that are zero or more than zero has the same domain as the given function. So
is a function that has the same domain as
.
The Perimeter of Triangle ABC would be 60.
You can solve this by setting up proportions.
