Atanker truck fills the gas stations reservoirnat the rate of 12 1/2 gallons per minute if the reservoir was empty and it is now 35 gallons full, how long has the tanker been filling the reservoir

2.8 minutes

Step-by-step explanation:

Full volume / Refill rate = time elapsed in filling reservoir.

Thus:

elapsed time = 35 gallons / (12.5 gall/min) = 2.8 minutes

do it yourself this is easy

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