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.
<h2>Hey there! </h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>
</h2><h2>Good luck on your assignment and enjoy your day!</h2><h2>~
</h2><h2 /><h2 />
Answer:
C. Undefined
Step-by-step explanation:
Any vertical line is going to have an undefined slope. Plug in any two points from that line, and the formula will give you an undefined number.
Hope this helps!
Find his rate:
120 / 15 = $8 per hour
Multiply the rate by hours:
$8 x 20 hours = $160
He will earn $160
In order to name the coordinates, you read the X axis first and then the Y axis. So A would be (-4, 4). B would be (-4, 6). C would be (2, 4).
They are not congruent because each angle is a different measure.
Hope this helped! :)
