Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer does not exist, enter DNE.)Part 1) an= (5n) /(1+9n)limn→[infinity] an =?Part 2) (1,1/2,1/2,1/3,1/3,1/4,1/4,1/5...)l imn→[infinity] an =?

The factorization of 8x3 -125 is (2x-5)(jx2 +kx+25)

The number of revolutions of two pulleys is inversely proportional to their diameters. if a 24-inch diameter pulley making 400 revolutions per minute is belted to an 8-inch diameter pulley, find the number of revolutions per minute of the smaller pulley.

State whether weight is a function of height for the six students and explain. a. yes, height is a function of weight because two students weigh 165 pounds but have different heights. b. no, height is not a function of weight because two students weigh 165 pounds but have different heights. c. yes, weight is a function of height because for each value of height there is one corresponding value of weight. d. no, weight is not a function of height because there is not enough data to determine a function.