The mighty oak tree outside of matt's house had to be cut down. he missed the beautiful tree and the shade it provided, and wanted to replace it with an oak tree that would grow quickly. the nuttall oak (quercus nuttallii), the fastest growing oak tree, grows 7 to 8 feet per year (we'll assume it grows at a constant rate). at maturity, it can be up to 50 feet tall. which of the following equations, where t represents time in years and h represents height in feet, describe growth that is slower than the nuttall oak growth rate?

l.ln.lln.k.nkl

step-by-step explanation:

-81 -56 -27 0 81

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

where are the graphs?

step-by-step explanation: