Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.Show that the statement " is a prime number" is true for , but is not true for .

What will be an ideal response?


When , which is a prime number, so the statement is true when . When , which is not a prime number, so the statement is not true for .

Mathematics

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Solve the problem.A shipping container has dimensions of 3 in. × 2 in. × 6 in. What is its volume?

A. 36 in.3  B. 72 in.3  C. 12 in.3  D. 54 in.3

Mathematics

Find a formula for the inverse of the function described below.32° Fahrenheit = 0° Celsius. A function that converts temperatures in Celsius to those in Fahrenheit is .

A. f-1(x) = (x - 32)
B. f-1(x) = x + 32
C. f-1(x) = x + 32
D. f-1(x) = (x + 32)

Mathematics

Write a mathematical expression for the word phrase.Ten is no more than nineteen

A. 10 ? 19 B. 10 ? 19 C. 10 ? 19 D. 10 < 19

Mathematics

Write as a logarithm of a single expression.(logaq - logar) + 5logap

A. loga 
B. loga
C. loga 
D. logaqp5r

Mathematics