Let σ Sn, and suppose that σ is written as a product of disjoint cycles. Show that σ is even if and only if the number of cycles of even length is even. Show that σ is odd if and only if the number cycles of even lengthis odd.

7(x - 2) = 3(x + 4) solve the following equation. then enter your answer in the space provided using mixed number format.

Aiden drives to school and back each day. the school is 16 miles from his home. he averages 40 miles per hour on his way to school. if his trip takes 1 hour, at approximately what speed does aiden drive home?

Acar started driving from city a to city b, distance between which is 620 miles, at a rate of 60 mph. two hours later a truck left city b and started moving towards city a at a rate of 40 mph. what distance from city a is the point where the truck and the car will meet?