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CHULETA DE CERDO – Menú Digital – Todo Rico
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Solution: Compute $ b_1 = 1 $. Then $ b_2 = 1 - \frac{1^5}{5} = \frac{4}{5} $. Next, $ b_3 = \frac{4}{5} - \frac{\left(\frac{4}{5}\right)^5}{5} = \frac{4}{5} - \frac{1024}{3125} = \frac{2500 - 1024}{3125} = \frac{1476}{3125} $. Simplify: $ \frac{1476}{3125} $ (already reduced). \boxed{\dfrac{1476}{3125}}
Question: Determine the center of the hyperbola $ 4x^2 - 9y^2 + 8x + 18y - 11 = 0 $.
Solution: Group and complete the square: $ 4(x^2 + 2x) - 9(y^2 - 2y) = 11 $. Complete squares: $ 4[(x+1)^2 - 1] - 9[(y-1)^2 - 1] = 11 $. Expand: $ 4(x+1)^2 - 4 - 9(y-1)^2 + 9 = 11 \Rightarrow 4(x+1)^2 - 9(y-1)^2 = 6 $. Rewrite: $ \frac{(x+1)^2}{\frac{3}{2}} - \frac{(y-1)^2}{\frac{2}{3}} = 1 $. Center at $ (-1, 1) $. \boxed{(-1, 1)}1. **A chemistry experiment requires 50 mL of a 10% salt solution. If you only have a 20% salt solution and distilled water, how much of each should be mixed to obtain the desired concentration?

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