Kevin goes to the movies. He'll spend $39 on popcorn and each movie costs $19. If you have $100 to spend, write and solve an equation to determine how many movies you can watch.

Find the value of x for which line a is parallel to line b

Asequence is a function whose is the set of natural numbers

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x,y,z) = (1,-x,z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)