Keira cut a 6 meter 9 centimeter stick into 5 equal pieces. Shayla cut a 460 centimeter stick into 4 equal pieces. How much longer is one of Shayla's wires than one of keira's? HELP HELP HELP BASVDHGJUAWGJVJB i need it before 11:59 :(

Keira : 609cm/5 = 121.8cm

Shayla : 460cm/4 = 115cm

6.8cm

Step-by-step explanation:

In this equation it looks like one of keira's wires is longer since when you divide the total number of centimeters (609) by 5, you get 121.8

The difference between keira and shayla's wire is 6.8cm

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