Marvin can exert a force of 180 lbs. how heavy a rock can he lift is he uses a crowbar that is 5 ft. long and if he places the fulcrum so that it is 6 in. from the rock?

This can be set up as a ratio of the mechanical advantage of the crowbar ( length of crowbar divided by the fulcrum point) and the amount of effort applied:

Weight of the rock = (Effort x length of crowbar in inches) / fulcrum.

Weight of rock = (180 lbs x 60) / 6

Weight of rock= 10800 / 6

Weight of rock = 1,800 pounds.

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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