Me i need now and no one is answering consider the relationship between the place values of the 4s in this number. 444.44 choose all answers that are correct. (more than one) a. the 4 in the hundredths place is 10 times the value of the 4 in the tenths place. b. the 4 in the tens place is 10 times the value of the 4 in the ones place. c. the 4 in the hundredths place is 1/10 times the value of the 4 in the tenths place.

the answer is a if my teacher taught me correct

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