Mai and Tyler were standing at one corner of a large rectangular field and decided to race to the opposite corner. Mai ran along the sidewalk that surrounds the field while Tyler ran directly across the field. The field is 100 meters long and 80 meters wide.

1. Before making any calculations, if both Mai and Tyler run at the same speed, who do you think will win? Explain your thinking.

Rewrite the following without an exponent. (5/8)-1

Asales representative from a local radio station is trying to convince the owner of a small fitness club to advertise on her station. the representative says that if the owner begins advertising on the station today, the club's total number of members will grow exponentially each month. she uses the given expression to model the number of club members, in hundreds, after advertising for t months.

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→∞.