A homeowner wants to construct a tank in the shape of a rectangular prism to collect rainwater runoff from her roof. The homeowner would like to hide the tank in a space under the deck between the supports. The space is 2ft wide by

12 ft long by 3ft high.

a. If the tank is constructed using the entire length and width of the space, how high must the tank be in order to hold 50 ft3 of water? Show your work

5x + 2 = 12 solve the following equation. then place the correct number in the box provided.

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.

Tim open up a new saving account with a $50 deposit and plant to deposit $20 per week into the same account. write an expression to represent the total amount in his savings account.