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Correcta respuesta: A) 88 - AMAZONAWS

Correcta Respuesta: A) 88 – Un Valor Clave en la Interpretación de Datos y Evaluaciones

📅 March 11, 2026 👤 scraface

Mar 11, 2026

Correcta respuesta: A) 88

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📌 Solution: First, choose 3 crew roles from 7: $\dbinom{7}{3}$. Then, select 2 biome systems from 5: $\dbinom{5}{2}$. Since each system needs a unique role, multiply by the number of ways to assign roles to biomes: $\dbinom{7}{3} \times \dbinom{5}{2} \times 3! = 35 \times 10 \times 6 = 2100$. However, if roles are independent of biomes, the answer simplifies to $\dbinom{7}{3} \times \dbinom{5}{2} = 35 \times 10 = 350$. Clarifying the problem's constraints, the most logical interpretation is $\boxed{350}$.

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📌 The cost for 2 SUVs per day is 2 x $50 = $100.

📌 La proporción total es 2 + 3 + 5 = 10 partes.

📌 Solution: Expand $ (\tan x + \cot x)^2 = \tan^2 x + 2 \tan x \cot x + \cot^2 x $. Simplify using $ \tan x \cot x = 1 $: $ \tan^2 x + 2 + \cot^2 x $. Use identity $ \tan^2 x + \cot^2 x = (\tan x - \cot x)^2 + 2 $, so expression becomes $ (\tan x - \cot x)^2 + 4 $. The minimum occurs when $ \tan x = \cot x $, i.e., $ x = \frac{\pi}{4} + k\frac{\pi}{2} $, giving $ 0 + 4 = 4 $. \boxed{4}

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