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Home » You Won’t Believe What’s Inside This Drive-Thru Food—Open Your Mouth and See! - AMAZONAWS

You Won’t Believe What’s Inside This Drive-Thru Food—Open Your Mouth and See! - AMAZONAWS

📅 March 6, 2026 👤 scraface

Mar 06, 2026

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📌 La première partie prend 2 heures. La distance pour la première partie est de 80 km/h * 2 h = 160 km. La deuxième partie prend 150 km / 100 km/h = 1,5 heure. Donc, le temps total est de 2 + 1,5 = 3,5 heures.

📌 Si une équation quadratique ax² + bx + c = 0 a des racines -2 et 3, quelle est la valeur de a + b + c lorsque a = 1 ?

📌 L'équation peut s'écrire (x + 2)(x - 3) = x² - x - 6. Ainsi, a = 1, b = -1, c = -6. Donc, a + b + c = 1 - 1 - 6 = -6.

📌 Un cylindre a une hauteur de 10 unités et un rayon de 3 unités. Quelle est l'aire totale de la surface du cylindre ?

📌 L'aire totale comprend les aires des deux bases circulaires et l'aire latérale. L'aire des bases est 2 * πr² = 2 * π * 3² = 18π. L'aire latérale est 2πrh = 2π * 3 * 10 = 60π. Donc, la surface totale est de 18π + 60π = 78π ≈ 245,04 unités carrées.

📌 #### 245.04Pregunta: Una mesa circular tiene 7 sillas, 3 de las cuales están reservadas para miembros y 4 para no miembros. ¿De cuántas maneras pueden sentarse si las rotaciones se consideran iguales?

📌 Solución: Para resolver esto, primero elegimos 3 de 7 sillas para los miembros, luego arreglamos a los miembros y no miembros. La cantidad de maneras de elegir las sillas para los miembros es \(\dbinom{7}{3}\). Después de elegir las sillas, los 3 miembros se pueden arreglar de \((3-1)!\) maneras (arreglo circular) y los 4 no miembros de \(4!\) maneras. Todo combinado, el número total de arreglos es:

📌 \dbinom{7}{3} \times 2! \times 4! = 35 \times 2 \times 24 = \boxed{1680}

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