A roast requires 3 hours and 40 minutes in the oven to be cooked. In order to have the roast ready to serve at 6:30 PM, it must be put into the oven at

2:50 PM

Step-by-step explanation:

Step 1: State what is given

Roast takes 3 hours and 40 minutes or 220 minutes

Need the roast to be done by 6:30 PM

Step 2: Subtract 3 hours from 6:30

6:30 - 3:00

3:30 PM

Step 3: Subtract 40 minutes from 3:30

3:30 - 40

2:50 PM

Therefore the roast needs to be put into the oven at 2:50 PM

a rotation about point l

step-by-step explanation:

quizlet

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