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Home » 2z = 30^\circ + 360^\circ n \quad \textor \quad 2z = 330^\circ + 360^\circ n - Portal da AcÃºstica

2z = 30^\circ + 360^\circ n \quad \textor \quad 2z = 330^\circ + 360^\circ n - Portal da AcÃºstica

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Question: What is the sum of all positive divisors of 120 that are multiples of 5, reflecting resource allocation in smart city initiatives?

📌 Solution: The divisors of 120 are $ 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 $. Those divisible by 5 are $ 5, 10, 15, 20, 30, 40, 60, 120 $. Summing them: $ 5 + 10 + 15 + 20 + 30 + 40 + 60 + 120 = 290 $. oxed{290}Question: Let $ x $ and $ y $ be positive real numbers representing the bandwidths (in Gbps) of two parallel data streams. Find the minimum value of

📌 rac{x^2 + y^2}{xy} + rac{xy}{x^2 + y^2}

📌 subject to $ x, y > 0 $.

📌 Solution: Let $ A = rac{x^2 + y^2}{xy} $ and $ B = rac{xy}{x^2 + y^2} $. Then the expression becomes

📌 A + B = rac{x^2 + y^2}{xy} + rac{xy}{x^2 + y^2}.

📌 Let $ t = rac{x^2 + y^2}{xy} $. By the AM-GM inequality,

📌 x^2 + y^2 \geq 2xy \Rightarrow rac{x^2 + y^2}{xy} \geq 2,

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Après 1 an :
\( 25,000 \times 0.85 = 21,250 \)
Après 2 ans :
\( 21,250 \times 0.85 = 18,062.50 \)
Après 3 ans :
\( 18,062.50 \times 0.85 = 15,353.13 \)
#### 15,353.13
Une suite géométrique commence par 5 et a une raison commune de 3. Que...
Le premier terme (\(a_1\)) est 5 et la raison commune (\(r\)) est 3.
Le \(n\)-ième terme d'une suite géométrique est donné par \(a_n = a_1...

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