The height of a stack of DVD cases is in a proportional relationship to the number of cases in the stack. A stack of 6 cases and its height are shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 14 cases. Golden Olde, 2005 Golden Oldies, 2004 Golden Oldies 2003 Golden Oldies, 2002 Golden Oldies, 2001 Golden Oldies, 2000 The height of 6 DVD cates : 132 mm The constant of proportionality is millimeters per DVD case.

12*c

step-by-step explanation:

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

step-by-step explanation:

what was your answer?

there would be 162.15 calories in this cereal.

step-by-step explanation: