You can choose two different side dishes with your lunch. You can have
Applesauce, Beans, Grapes, or Rice. Which list shows all possible
combinations of two different side dishes?
A. Ab. bg. gr. ra
b. ab. ag. ar. bg. br. gr
c. ab. ag. bg. br. gr. ga. rb. e.g.
d. aa. ab. ag. ar. bb. br. gg. gr. re
?

d

Step-by-step explanation:

it has every possible combination

where did you get them? if you picked from the grass, is is probably poisonous.

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