![]() A certain 18-quart stockpot is filled completely with water and exposed to a heat source so that the water boils away at a constant rate. What is the length, in coordinate units, of a diagonal of a square in the standard ( x, y) coordinate plane with vertices at points (0,0), (4,0) and (4,4)?ĥ. For f( x, y) = 7 x + 9 y, what is the value of f( x, y) when and x = 3?Ĥ. ![]() What is the probability that the die will NOT land on a prime-numbered face?ģ. A 5-sided die, which has sides 2, 3, 4, 5, and 6, is thrown. If hose 1 alone can fill the pool in exactly 20 minutes and hose 2 alone can fill the pool in exactly 60 minutes, how many minutes will it take to fill the pool if both hoses work simultaneously?Ģ. If both hoses are used, the time it will take to fill the pool can be represented by the following equation:, where T 1 and T 2 represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and T c represents the time needed for hoses 1 and 2 to fill the pool working together. Two hoses attached to separate water sources are available to fill a cylindrical swimming pool.
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