An order of award presentation has been devised for seven people: jeff, karen, lyle, maria, norm, olivia, and paul. a) in how many ways can the people be presented? is that just 7! ? and b) in how many ways can the first award be presented to karen and the last to lyle?

Planning for the possibility that your home might get struck by lighting and catch on fire is part of a plan for ?

You are standing next to a really big circular lake. you want to measure the diameter of the lake, but you don't want to have to swim across with a measuring tape! you decide to walk around the perimeter of the lake and measure its circumference, and find that it's 400\pi\text{ m}400? m. what is the diameter dd of the lake?

Solve the following: 12(x^2–x–1)+13(x^2–x–1)=25(x^2–x–1) 364x–64x=300x