During gym class, Alexis played dodgeball for 34 hour. After that, she played basketball for 14 hour.

Which model represents how much more time was spent playing dodgeball than playing basketball?

the soultion in 20

Step-by-step explanation:

first get the 34 hour of dogeball and get the 14 hour of basketball subtract 34 - 14 first 4 - 4 = 0 then 30 - 10 = 20

2/4

Step-by-step explanation:

3/4 - 1/4 = 2/4

answer: (-6,3)

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