Aregion r in the xy-plane is given. find equations for a transformation t that maps a rectangular region s in the uv-plane onto r, where the sides of s are parallel to the u- and v- axes. (let u play the role of r and v the role of θ. enter your answers as a comma-separated list of equations.) r lies between the circles x2 + y2 = 1 and x2 + y2 = 5 in the first quadrant

For an experiment, a penny is tossed. at the same time, a spinner with 8 congruent sections numbered 1–8 is spun. how many possible outcomes are there for the experiment?

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b? 1. define a variable for the situation. 2. write an inequality that represents the situation. 3.solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. 4. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

How many grams must be adde to 970g to make 1 and a half kg