Bill is trying to plan a meal to meet specific nutritional goals. he wants to prepare a meal containing rice, tofu, and peanuts that will provide 277 grams of carbohydrates, 370 grams of fat, and 206 grams of protein. he knows that each cup of rice provides 48 grams of carbohydrates, 0 grams of fat, and 2 grams of protein. each cup of tofu provides 7 grams of carbohydrates, 15 grams of fat, and 19 grams of protein. finally, each cup of peanuts provides 32 grams of carbohydrates, 65 grams of fat, and 29 grams of protein. how many cups of rice, tofu, and peanuts should he eat?

the answer is 8.64

step-by-step explanation:

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week

we are given scale of 2 units.

on graph paper the space is 2.5 cm.

length of glass = 8 units.

8 units = 2 units +2 units +2 units +2 units.

each 2 unit is = 2.5cm.

therefore,

8 units = 2 units +2 units +2 units +2 units = 2.5+2.5+2.5+2.5= 10cm.