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A coconut is a fruit that is made up of a hard outer shell that is spherical. Inside, there is a thick layer of coconut meat that forms another spherical shell around the coconut milk.

If the diameter of an entire coconut is 5 inches, and the coconut meat is 1 inch thick, then there is room for approximately _[blank]_ in3 of coconut milk.

What number correctly fills in the blank in the previous sentence?

Hint: Find the radius of the inside sphere and use that to calculate the volume.

Use 3.14 for π and round your answer to the nearest hundredth, if necessary, like this: 42.53

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

Write the expression as a constant , a single trigonometric function, or a power of a trigonometric function. sin x cos x/ tan x

Mozart lenses inc. recently introduced seelites, a thinner lens for eyelasses. of a sample of 800 eyeglass wearers, 246 said they would purchases their next pair of eyeglasses with the new lenses. lenses inc. estimates that the number of people who purchase eyeglasses in a year is 1,700,000. most eyeglasses wearer buy one new pair of eyeglasses a year. what is the annual sales potential for the new lenses.