Heather got a train ticket valid for the eight cities listed below. She can choose to visit some or all of these cities. She must visit at least one of them. Amsterdam, Brussels, Cologne, Duisburg, Lille, Paris, Rotterdam, Utrecht
In how many different ways can Heather choose the cities to visit? (The order of the cities chosen doesn't matter.)

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Do more republicans (group a) than democrats (group b) favor a bill to make it easier for someone to own a firearm? two hundred republicans and two hundred democrats were asked if they favored a bill that made it easier for someone to own a firearm. how would we write the alternative hypothesis?

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. x^2 - 4x - 5 = 0