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1)A cow is tethered to an external corner of a square barn with sides measuring 202 meters that is located in the middle of a field extending hundreds of meters in all directions. What is the area, in square meters, that the cow can graze under the following conditions? Note: the cow cannot enter the barn in any way
a. the tether has a length of 20 meters.
b. the tether has a length of 40 meters.
c. the tether has a length of 40+202 meters.
d. the tether has a length of 402+206 meters.
2)For each part below, your answer should be the next term in the given sequence. Although we understand that any sequence of numbers can have any number as the next term, the sequence below have “simple” rules that you are expected to find; answers based on high-order polynomials will not be given credit.
a. 2,4,5,3,9,____
b.3,5,4,5,6,8,7,9,8,9,____
c.1,4,27,256,____
d.2,5,19,103,733,____
3)a) What is the minimum number of die rolls necessary for the blue player to have resources sufficient to win in the beginner setup of the standard version of the game The Settlers of Catan? Assume that the blue player takes the first turn (NOT determined by die roll), that no trading between players occurs, and that all random events happen the way you would like. Note: a “die roll” in this game consists of rolling two dice simultaneously. If you believed that this needed to happen three times, your answer would be three, not six.
b) What is the maximum possible work value of a work in the game The Princes of Florence? Assume that all auctions and random events happen the way you would like.
c) What is the largest possible score on the first turn of Scrabble, using words from the Official Scrabble Player’s Dictionary, Third Edition?
d)What is the minimum number of turns a player must take to win in the game of Candy Land?
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