If f(x) = 4x^3 +1 then what is the remainder when f(x) divided by x-5

Acommunity group sells 2,000 tickets for its raffle. the grand prize is a car. neil and 9 of his friends buy 10 tickets each. when the winning ticket number is announced, it is found to belong to neil's group. given this information, what is the probability that the ticket belongs to neil? a.1/5 b.1/10 c.1/200 d.1/4

Acompany wants to reduce the dimensions of its logo by one fourth to use on business cards. if the area of the original logo is 4 square inches, what is the area of the logo that will be used on the business cards?

1. how do you find p(a and b) if a and b are dependent events for two or more actions, such as selecting two candies and drawing p(green, and then pink)?