<h2>
At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>
Step-by-step explanation:
We have equation for volume of a sphere

where r is the radius
Differentiating with respect to time,

Given that
Radius, r = 24 cm

Substituting

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.
If the circumference of a circle is 40 m, its area is 127.32395447352 m².
Answer:
The answer is Choice D
Step-by-step explanation
The median is the middle value in the given set of data.
If the data is even, then there will be two middle numbers, then the median is the average of these two middle numbers.
Thus, from the data, it is obvious that the number of data in the given set is 13.
Hence, the middle number is 23.
Therefore, the median of the data is 23.
Answer:
(5, infinitysymbol)
Step-by-step explanation:
First solve the inequality. Subtract 2 from both sides.
x + 2 > 7
x > 5
So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.
Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.
So x > 5 in interval notation is:
(5, infinitysymbol)
This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.
Answer:
Option C) Subtract 72° from 180°
Step-by-step explanation:
We are given the following in the question:
Measure of exterior angle = 72°
Properties of exterior angles:
- An exterior angle of a polygon is an angle at a vertex of the polygon but outside the polygon.
- It is formed by one side and the extension of an adjacent side.
- The interior and exterior angles are supplementary.
- Thus, the sum of the interior angle and the exterior angle is 180 degrees.
- All the exterior angles of a regular polygon are equal in measure.
Thus, we can write:
Let x degrees be the measure of the interior angle. Thus, we can write:

The measure of the interior angle is 108 degrees.
Thus, the correct answer is:
Option C) Subtract 72° from 180°