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9. La relación entre la temperatura en grados Celbius y la femperotive en grolos Fahrenheit, está dada por la ecuación: \[ C=\frac{5}{9}(F-32) \] A. Representa esta relación en una tabla de valores para 15 valores de f dfenertes B. ¿A cuántos grados Celcius equivalen 0\% Forenheit? C. ¿A cuántos grados F equívalen \( 0^{\circ} \mathrm{C} \) ? Teniendo en cuenta la ecuación: \[ F=1.8 C+32 \]

Ask by Davey Alexander. in Colombia
Mar 12,2025

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A. **Tabla de valores para \( F \) y \( C \):** | \( F \) | \( C \) | |----------|-----------------------| | 0 | -17.78 | | 7 | -13.89 | | 14 | -10.00 | | 21 | -6.11 | | 28 | -2.22 | | 35 | 1.67 | | 42 | 5.56 | | 49 | 9.44 | | 56 | 13.33 | | 63 | 17.22 | | 70 | 21.11 | | 77 | 25.00 | | 84 | 28.89 | | 91 | 32.78 | | 100 | 37.78 | B. \( 0^{\circ} \) Fahrenheit equivale a aproximadamente \( -17.78^{\circ} \) Celsius. C. \( 0^{\circ} \) Celsius equivale a \( 32^{\circ} \) Fahrenheit.

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Para representar la relación entre la temperatura Celsius y Fahrenheit, podemos crear una tabla con varios valores de \( F \) (Fahrenheit) y sus equivalentes en \( C \) (Celsius). Aquí tienes una tabla para 15 valores, con \( F \) desde 0 hasta 120, incrementando de 8 en 8. | Grados Fahrenheit (F) | Grados Celsius (C) | |-----------------------|---------------------| | 0 | -17.78 | | 8 | -13.33 | | 16 | -8.89 | | 24 | -4.44 | | 32 | 0.00 | | 40 | 4.44 | | 48 | 8.89 | | 56 | 13.33 | | 64 | 17.78 | | 72 | 22.22 | | 80 | 26.67 | | 88 | 31.11 | | 96 | 35.56 | | 104 | 40.00 | | 112 | 44.44 | | 120 | 48.89 | Para responder a la segunda pregunta, existe una fórmula que nos dice que para \( 0^{\circ} \) Fahrenheit, usando la ecuación \( C=\frac{5}{9}(F-32) \), el cálculo se vería de la siguiente manera: \[ C=\frac{5}{9}(0-32) \rightarrow C=\frac{5}{9}(-32) \rightarrow C \approx -17.78^{\circ} C \] Para la tercera pregunta, usando la ecuación \( F=1.8 C+32 \) para \( 0^{\circ} C \): \[ F=1.8(0)+32 \rightarrow F=32^{\circ} F \]

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