August 2020 Livestream Topics
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Friday, August 7, 2020 Live stream
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A subset \(B\) of the set of integers from \(1\) to \(100,\) inclusive, has the property that no two elements of \(B\) sum to \(125.\) What is the maximum possible number of elements in \(B?\)
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If \(\frac{97}{19} = w + \frac{1}{x+\frac{1}{y}}\) where \(w, x, y\) are integers, then what is \(w + x + y?\) (Continued fractions)
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Add one line to the equation \(9 + 6 + 3 + 5 = 17\) to make it true without making the equals sign into a \( \neq.\)
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A square surrounds a circle with a radius of \(10\) that contains another square inside it. What is the area inside the larger square but outside of the smaller square?
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I'm doing Algebra and Geometry at the same time; got any tips for doing multiple fields at the same time?
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What key switches do you have? Are they MX Blues?"
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What was the logic behind digital sum?
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A radio beacon is located at \( (-5,3)\) and another at \( (9,13).\) A navigator's experiment tells her that the line joining her position to the first beacon has slope \(-\frac{1}{6}\) and the line joining her position to the second beacon has slope 6. What is the navigator's approximate location?
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What is the value of \(101^3 - 3(101^2) + 3( 101) - 1?\)
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