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.

The measurements of an angle is five times the measurement of its supplement. What is the measurement of the angle? a. 30 degrees b. 35 degrees c. 40 degrees d. 45 degrees

The length of the sides of a triangle are in the extended ration 3 : 10 : 12. the perimeter is 400 cm. what is the length of the longest side in centimeters

Which equation finds the area of a square with a side length of 5n^4 units?

Chris wants to buy a sweater with a selling price of $66. Today, the sweater is on sale for 31% off. What is the markdown? What is the sale price of the sweater?

Round 58,291 to the nearest thousand.

How many blue counters must be added so that the ratio of yellow counters to total counters is 1:6? 2 yellow counters 4 blue counters and 4 red counters

What's 599,600 in scientific notation

What is the domain and range for the following relation. { (4,-1), (3, 2), (0, - 3). (1,4) } A. Domain: (-1, 2, - 3, 4) : Range: (4,3,0,1) B. Domain: (4, 3, 2, 1) : Range: (-1, 2, 3, 4) C. Domain: (4,3,0,1) : Range: (-1,2,-3,4) D.

How do you use fractions in division

A cafeteria sells 30 drinks every 15 minutes. predict how many drinks the cafeteria sells every hour