6 The distance between two points p1 = (x1, y1) and p2 = (x2, y2) on the plane can be defined in many different ways. We introduce the following three distances: d1(p1, p2) = |x1 − x2| + |y1 − y2| d2(p1, p2) = q (x1 − x2) 2 + (y1 − y2) 2 d3(p1, p2) = max{|x1 − x2|, |y1 − y2|} For each of these distances compute the maximum number of points that have to be checked for each point x ∈ PL ∩ Z in the nearest neighbors algorithm.

You have 6 dollars +12 pennies +to quarters + 4 dimes=2 nickels how much do you have

Taylor wants to paint his rectangular deck that is 41 feet long and 24 feet wide. a gallon of paint covers about 350 square feet. how many gallons of paint will taylor need to cover the entire deck? round your answers to two decimal places when necessary.

Brittany has designed four different birdcages, each with the same volume: a square pyramid, a cylinder, a cone, and a sphere. the zoo wants to use one of brittany’s designs but plans to change the volume of the cage. find the design change that would result in the birdcage with the greatest volume. a.) increase the area of the base of the square pyramid by a factor of ten. b.) increase the height of the cylinder by a factor of ten. c.) increase the radius of the cone by a factor of ten. d.) increase the radius of a sphere by a factor of ten.