An "armstrong number" is an n-digit number that is equal to the sum of the nth powers of its individual digits. for example, 153 is an armstrong number because it has 3 digits and 13 + 53 + 33 = 153. what is the digit k in the armstrong number 1,6k4? (a) 2 (b) 3 (c) 4 (d) 5 (e) 6

Many newspapers carry a certain puzzle in which the reader must unscramble letters to form words. how many ways can the letters of emdangl be arranged? identify the correct unscrambling, then determine the probability of getting that result by randomly selecting one arrangement of the given letters.

Find cot x if sin x cot x csc x = √2

Charlie is at an amusement park that has 18 different rides. each ride costs $1.75. the function c(r) = 1.75r represents the total amount of money that charlie will spend if he goes on r rides, but he never goes on the same one more than once. what domain and range are reasonable for the function?