Acompany produces individually wrapped spherical cookies. the minimum amount of wrapping material needed to cover a cookie, assuming no edges overlap, is 314 square inches. what is the diameter of one cookie? (use 3.14 for the value of π.)

 Diameter = 17.72 inches

Step-by-step explanation:

Surface area of sphere , where r is the radius.

Here surface area is given as 314 square inches.

So

We have radius = 8.86 inches.

Then

   Diameter = 2 x 8.86 = 17.72 inches

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: