Taylor skated the length of a frozen pond t times. Except The last time she stopped to 2 km from the end. The pond is 7 km long. Right an algebraic expression that represents how far Taylor skated in kilometers. Suppose that t equals 4 use your expression to calculate the distance she travelled

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Interpret the following expression (5y^2-7)^3/(2y)^2

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.