For each positive integer n, define S(n) to be the smallest positive integer divisible by each of the positive integers 1, 2, 3, . . . , n. For example, S(5) =
60. How many positive integers n are there such that 1 ≤ n ≤ 100 and
S(n) = S(n + 4)?

Given (1+cosx)/(sinx) + (sinx)/(1+cosx) =4, find a numerical value of one trigonometric function of x. a. tanx=2 b. sinx=2 c. tanx=1/2 d. sinx=1/2

For f(x)=2x+1 and g(x)= x^2 -7, find (f•g)(x)

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.