9514 1404 393
Answer:
8000π mm^3/s ≈ 25,133 mm^3/s
Step-by-step explanation:
The rate of change of volume is found by differentiating the volume formula with respect to time.
V = 4/3πr^3
V' = 4πr^2·r'
For the given numbers, this is ...
V' = 4π(20 mm)^2·(5 mm/s) = 8000π mm^3/s ≈ 25,133 mm^3/s
_____
<em>Additional comment</em>
By comparing the derivative to the area formula for a sphere, you see that the rate of change of volume is the product of the area and the rate of change of radius. This sort of relationship will be seen for a number of different shapes.
No solution for the quadratic equation because of the √-20
The expression can be simplified to a polynomial of degree 2.
<h3>
How to simplify the expression?</h3>
Here we have the expression:
We can directly simplify this by taking the variable as common factor:
This is a polynomial, as you can see, the maximum exponent is 2, so the degree of the polynomial is 2.
If you want to learn more about polynomials:
brainly.com/question/4142886
#SPJ1
4/9 is smaller than 4/8 so the other fractions should be 4/8.____
This is what I did:
I used the fractions 4/8.5 and 4/8.4
Now we need to get rid of the decimal point for each of those fractions.
Find out what number you need to multiply the denominator so it is a whole number, not a decimal.
Take that number and multiply it by both numerator and denominator.
8.5 x 2 = 17
4/8.5 = (4*2)/(8.5*2) = 8/17 (This is your first fraction)
8.4 x 5 = 42
4/8.4 = (4*5)/(8.4*5) = 20/42 (This is your second fraction.
