The trajectory of a flying saucer is given by the vector function r(t) = (5 sin(t))i + (5 cos(t))j + 12tk for t ≥ 0 where coordinate is measured in miles and time in minutes. Find the time moment t0 when the flying saucer travels exactly the distance 26 miles along the curve from the starting point.

What is the pattern in the values as the exponents increase?

The triangles in the diagram are congruent. if mzf = 40°, mza = 80°, and mzg = 60°, what is mzb?

Acoffee shop orders at most $3,500 worth of coffee and tea. the shop needs to make a profit of at least $1,900 on the order. the possible combinations of coffee and tea for this order are given by this system of inequalities, where c = pounds of coffee and t = pounds of tea: 6c + 13t ≤ 3,500 3.50c + 4t ≥ 1,900 which graph's shaded region represents the possible combinations of coffee and tea for this order?