the volume of a cone is 3πx3 cubic units and its height is x units. which expression represents the radius of the cone’s base, i

Answer:

vvvv

Step-by-step explanation:

1. Convert 1/4 into eighths to be able to subtract it from 5/8.

1/4 x 2 = 2/8

2. Deduct 2/8 from 5/8.

5/8 - 2/8 = 3/8

Daniel consumed 2/8 of the remaining pie, and now there are 3/8 left.

48,948 * 5% = 2447.4

Response-

(78,104) represents the point closest to the interior.

Explanation-

The equation defining the circle,

Since the point lies on the circle, its coordinates must be,

The distance "d" from the point to (30,40) can be calculated as,

Next, we need to determine the value of x for which d is minimized. The minimum distance occurs when is at its lowest value.

Let’s set up the equation,

We find the critical points,

Then,

Since f''(x) is positive, the function f(x) achieves its minimum at x=78

When x is set to 78, the corresponding y value will be

This leads us to conclude that the closest point is (78,104)

Response:

Alan's survey aims to determine the art preferences among students at the local high school.

To conduct a thorough investigation, he needs to consider all students in the school as the target population since that is his goal.

Nevertheless, in many cases involving statistical studies, it's impractical to include the entire population. In such instances, a sample that accurately reflects the overall student body is employed.

This sample is a subset of the population and must share the same characteristics and attributes; otherwise, the findings may be skewed.

Thus, a feasible sample would consist of a specific number of students from each grade level, including freshmen, sophomores, juniors, and seniors. This approach ensures the sample accurately represents the larger population.