Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5) to the plane x y z = 9.

Astudent simplified a rational expression as shown.

Suppose you want just guess at the answers in a 5 question multiple-choice test. each question has 3 responses and only one is correct. what is the probability of getting two questions right just guessing? 20 points 0.3275 0.2753 0.7532 none of the above

Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. which graph represents the set of heights that satisfy this requirement?