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.

What is the solution set of answers for 3x-1>3

Factor 10y^2 - 23y + 12

Use your calculator to find the equation of the regression line. write the equation in y=ax b form. do not use any spaces. round a and b to the nearest tenth. weight height 99 61 104 61 110 62 133 64 130 65 142 68 146 66 153 67 184 69 185 70

Suppose a population has a doubling time of 25 years. By what factor will it grow in 25 years? 50 years? In 100 years?

there are 12 gumballs in a gumball machine. there is 1 red, 6 yellow, 2 green, and 3 blue gumballs. what is the color that is most likely to come out of the machine next.

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $64. A season ski pass costs $400. The skier would have to rent skis with either pass for $20 per day.

Erin covered a box with contact paper. The dimensions of the box are shown in the figure below: A rectangular prism is shown.

if i were to watch a tv show with 16 episodes and each episode is 23 minutes long, then how long would it take for me to finish the tv show?

You can walk 112 miles in 12 hour. What is your average speed?

There are three consecutive even integers. Three times the smallest is forty eight more than the larger. Find all the integer.