Two skaters are racing toward the finish line of race. the first skater has a 40 meter lead and is traveling at a 40 meter lead and is traveling at a rate of 12 meters per second. the second skater is traveling at a rate of 14 meters per second. how long will it take for the second skater to pass the first skater?

12x+40=14x

2x=40

x=20

20 seconds

it has the same slope and a different y-intercept

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(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