Let p (n) be the statement that 13 + 23 +···+ n3 = (n(n + 1)/2)2 for the positive integer n. a) what is the statement p (1)? b) show that p (1) is true, completing the basis step of the proof. c) what is the inductive hypothesis? d) what do you need to prove in the inductive step? e) complete the inductive step, identifying where you use the inductive hypothesis. f ) explain why these steps show that t

Measures of the angle of r, 31 s (x+4) t (3x+9)

Tomas used 3 1/3 cups of flour and now has 1 2/3cups left. which equation can he use to find f, the number of cups of flour he had to begin with? f+3 1/3=1 2/3 f-3 1/3=1 2/3 3 1/3f=1 2/3 f/3 1/3=1 2/3

The volume of the sun is approximately 1 × 10^18 cu km, while the volume of jupiter is approximately 1 × 10^15 cu km. which of the following is true? a. the volume of jupiter is approximately one thousand times the volume of the sun. b. the volume of jupiter is approximately one hundred times the volume of the sun. c. the volume of the sun is approximately one thousand times the volume of jupiter. d. the volume of the sun is approximately one hundred times the volume of jupiter.