What is the error in the coworker's calculation of the volume of the rectangular box? You work as a clerk in a store that sells multicolored aquarium pebbles. The pebbles are shipped in a container that is 1 foot long, 1 foot wide, and foot deep but that container got ripped. A replacement box is needed to hold the pebbles. Your coworker determines that the volume of the replacement box should be of a cubic foot. The coworker calculated the volume by multiplying the length by the height and then multiplying the result by the product of the width and the height. The coworker should have added the dimensions. O The coworker should have multiplied the length by the width, the length by the height, and the width by the height, and then added the three products. TThe coworker should have added the squares of the dimensions. The coworker should have multiplied the length by the width and added the height to the product. O The coworker should have multiplied the dimensions.

where's the diagrams?

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

b

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt