Two students measured the width of a table whose actual width is 4.500 feet. Dave reported the width as 4.7 feet, while Gary reported the width
as 4.932 feet.
Which student reported the width more accurately? Which student
reported the width more precisely?
Gary was more accurate, and Dave was more precise.
Gary was more accurate and more precise.
Dave was more accurate and more precise.
2 2.
5
Dave was more accurate, and Gary was more precise.

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

vertical=18cm horizontal=18cm hypotenuse=25.5

step-by-step explanation: