You decide to challenge 6 of your closest friends to a marathon with your best friend. Since you and your friend are running together you decided to get matching t-shirts. On the day of the race, you and your friend showed up with matching math t-shirts. Co-incidentally your friends also showed up with matching t-shirts. A pair of your friendsshowed up with Red Sox t-shirts. Another pair waltzed in with Patriots t-shirts. The lastpair of your friends walked in with Golden State Warrior t-shirts. At the end of the race,(a) 1 runner between the Math friends(b) 2 runners between the Red Sox pair(c) 3 runners between the Golden State Warrior pair(d) 4 runners between the Patriot pair. If we know that the last runner wore a patriot shirt, can you tell what the order of therunners finished in from fastest to slowest?

the answer is 844

step-by-step explanation:

it is 844 because if you add 836.50 + 7.5 you will get 844

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.

the answer is mp

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