Answer these as best as possible:
1. the first term of a geometric sequence is 0.5 and the common ratio is 5. find the 15th term.
2. the first term of a geometric sequence is -10,000 and the common ratio is -1/2. find the 6th term.
3. the first term of a geometric sequence is 3/4 and the common ratio is 4. find the 8th term.

The function f(x) = 14,600(1.1)* represents the population of a town x years after it was established. what was the original population of the town?

26) -2(7x) = (-2 • 7) x a. associative property of addition b. associative property of multiplication c. commutative property of multiplication d. commutative property of addition

I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?