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Home » \( 20x - x^2 = 96 \) → \( x^2 - 20x + 96 = 0 \). - Portal da AcÃºstica

\( 20x - x^2 = 96 \) → \( x^2 - 20x + 96 = 0 \). - Portal da AcÃºstica

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 In a physics experiment, a force of 10 N is applied to a 2 kg object. After the object starts moving, friction applies a force of 4 N in the opposite direction. What is the object's acceleration?

📌 Calculate the net force: \( 10 \text{ N} - 4 \text{ N} = 6 \text{ N} \)

📌 Use Newton's second law: \( a = \frac{F_{\text{net}}}{m} = \frac{6 \text{ N}}{2 \text{ kg}} = 3 \text{ m/s}^2 \)

📌 A rectangle's length is twice its width, and its perimeter is 36 cm. What are the rectangle's dimensions?

📌 Use the perimeter formula: \( 2(w + 2w) = 36 \)

📌 Simplify and solve: \( 6w = 36 \Rightarrow w = 6 \)

📌 Dimensions are 6 cm (width) and 12 cm (length).

📌 #### 6 cm (width), 12 cm (length)

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📝 Recent Posts

Un número de cada residuo: \(17 \times 17 \times 16\).
Número total de maneras de elegir 3 números: \(\dbinom{50}{3}\).
Probabilidad:
\frac{3\dbinom{17}{3} + \dbinom{16}{3} + 17 \times 17 \times 16}{\dbin...
Pregunta: ¿De cuántas maneras pueden sentarse 5 miembros distinguibles...
Solución: Para arreglos en círculo con reflexión, fijo un miembro para...
4! \times 3! = 24 \times 6 = \boxed{144}
Pregunta: Calcula \(\dbinom{12}{5} - \dbinom{12}{4}\).
Solución: Usando las propiedades de los coeficientes binomiales:
\dbinom{12}{5} = \dbinom{12}{7}, \quad \dbinom{12}{4} = \dbinom{12}{8}

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