Ari decides to run 8.5 kilometers this weekend. he jogs 8.9 laps around the running track on saturday. how many more
kilometers does he need to jog on sunday?
venue
pool
running track
kilometers
0.05
0.4
which equation shows the first step in solving this problem?
y=8.9x0.4
y = 8.5 x 0.4
y = 8.5-0.4
y = 8.9.0.4

step-by-step explanation:

no of data

divide by no of mode

x> 6

step-by-step explanation:

8x+8> 7x+14

8x-7x> 14-8

x> 6

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

the awnser is visionary