1 Pumps are used to empty water from two tanks, tank P and tank Q.
Tank P begins with 65 gallons of water and empties at a rate of 6.5 gallons per minute. The amount of water in tank Q is
represented by the equation y 63.5 - 5.252, where 2 is the number of minutes the pump has been emptying the
tank.
Which statement is true?
Tank P empties at a faster rate than tank Q and had a lesser starting amount than tank Q.
Tank P empties at a faster rate than tank Q and had a greater starting amount than tank Q.
Tank P empties at a slower rate than tank Q and had a lesser starting amount than tank Q.
Tank P empties at a slower rate than tank Q and had a greater starting amount than tank Q.

explanation:

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

b. b < 1 might be the correct answer