Luke is having a rectangular swimming pool built in his back yard. he wants it to be 30 feet longer than it is wide. he also has to
decide how deep he wants the pool to be. he wants the width of the pool to be at least 15 feet greater than the depth.
the cost of the pool will be based on the depth and area of the pool. the cost of the pool will be $10 per square foot of perimeter
plus $30 per foot of depth. luke can afford to spend no more than $15,000 on the construction of the pool.
create a sustem of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Me on this one i will give you 20pts. answer should be in detail . this is the discussion topic. one of the most fiercely debated topics in sports is the hot hand theory. the hot hand theory says that success breeds success. in other words, rather than each shot a basketball player takes or each at-bat a baseball player has being an independent event, the outcome of one event affects the next event. that is, a player can get hot and make a lot of shots in a row or get a lot of hits in a row. the hot hand theory, however, has been shown to be false in numerous academic studies. read this article, which discusses the hot hand theory as it relates to a professional basketball player. state whether you agree or disagree with the hot hand theory, and give reasons for your opinion. be sure to use some of the terms you’ve learned in this unit, such as independent event, dependent event, and conditional probability, in your answer.

Which of the following is true for the relation f(x)=2x^2+1

If you are dealt 4 cards from a shuffled deck of 52? cards, find the probability that all 4 cards are diamondsdiamonds.