The formula for the volume of this rectangular prism is:

v = 5x3 + 29x2 + 34x – 8

the two lengths are x + 2 and x + 4

find an expression for the missing side length. show all of your work for full credit.

Triangle dog was rotated to create triangle d'o'g'. describe the transformation using details and degrees. (10 points)

What is the probability of drawing three queens from a standard deck of cards, given that the first card drawn was a queen? assume that the cards are not replaced.

1. if we have 3 babies what is the probability they’re going to be all boys? 2. if we roll 2 die at the same time what is the probability of getting less than 10 on the first roll and a 5 on the second roll 3. if we have 3 babies what is the probability their is going to be 2 girls? 4. if we have 3 babies what is the probability of having no more than 1 girl? 5. it we have 3 babies and then have another 3 babies what is the probability of us having at least 1 boy and then having all girls?