Let G be a group with |G|=pk, where p is a prime and k≥1. Show that has a normal sub group of order for all 1 ≤ m ≤ k.

How many solutions does the equation have? x+2x+3+3 = 3 (x+2)

If Sarah flips a coin 1,000 times, which of the following represents the possible results? A 400 Heads, 600 Tails B 250 Heads, 750 Tails C 1 Head, 999 Tails D All of these results are possible.

Write a equation. if a perimeter of a room is 78 feet what is the area of the floor of the room

A cosine function has a period of 4, a maximum value of 20, and a minimum value of 0. The function is a not a reflection of its parent function over the x-axis. Which function could be the function described?

What is the fraction in decimal form? 21/6

How many numbers between 1 and 100 (inclusive) are divisible by 5 or 3?

The volume of the oblique cylinder is 24 ft3. Which statements are true? Check all that apply. The height of the cylinder is 3.4 ft. The diameter of the cylinder is about 4.5 ft. The diameter of the cylinder is about 3 ft.

Determine the LCm of 15 and 20

If f (x) = x^2 - 4x + 3, and the domain is {-2, 0, 1}, what is the range? A) {7, 3, 0} B) {-9, 3, 1} C) {-1, 3, 1} D) {15, 3, 0}

12,598 round to nearest thousand