Roger runs a marathon. His friend Jeff rides behind him on a bicycle and clocks his speed every minutes. Roger starts out strong, but after an hour and a half he is so exhausted that he has to stop. Jeff’s data follow: Time since start (min) Speed (mph) Assume that Roger's speed is never increasing. Incorrect answer icon Your answer is incorrect. (a) Assuming that Roger’s speed is never increasing, give upper and lower estimates for the distance Roger ran during the first minutes. Round your answers to two decimal places. A lower estimate for the distance Roger ran during the first minutes is Enter your answer; A lower estimate for the distance Roger ran during the first 30 minutes is 315 . An upper estimate for the distance Roger ran during the first minutes is Enter your answer; An upper estimate for the distance Roger ran during the first 30 minutes is 375 .

answer: answer: d) v= 1/6 bh  

step-by-step explanation:

since according to the given question,   a pyramid is placed inside a prism.

step-by-step explanation:

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

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