3 In science, Haley was studying sunny days and rainy days in Texas cities. She was asked to research and record the annual data for 3 different cities for the past year. Here are Haley's findings, not including partly cloudy days. The ratio of rainy days to sunny days for Beaumont is 60 to 216. The ratio of rainy days to sunny days for Taylor is 111 to 150. . Haley made this statement. The ratio of rainy days to sunny days for Dallas is less than the ratio for Taylor and greater than the ratio for Beaumont. Which ratio could represent the ratio of rainy days to sunny days for Dallas?

answer: 0,6

step-by-step explanation:

this would make it the y intercept.

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

the argument of alfred t. mahan, henry cabot lodge, and albert j. beveridge was the economically and mass production the the americans could not consume themselves. this led expansion to sell to other foreign nations for profits.

step-by-step explanation:

this is my explanation

x:       y:  

-1         4

0         4

1         6

2         18

3         20