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Home » \( 200 \times 3.052 \approx 610.4 \) - Feedz API

\( 200 \times 3.052 \approx 610.4 \) - Feedz API

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 \boxed{\text{No solution exists}}

📌 Question:** A quantum AI model uses complex numbers to represent states. Compute $(\cos 36^\circ + i \sin 36^\circ)^5$.

📌 Solution:** Using De Moivre’s Theorem:

📌 Question:** In a 3D vector space modeling neural network parameters, suppose $\mathbf{x}, \mathbf{y}, \mathbf{z}$ are unit vectors such that $\mathbf{x} + \mathbf{y} + \mathbf{z} = \mathbf{0}$. Find the maximum possible value of $\mathbf{x} \cdot \mathbf{y}$.

📌 Solution:** Since $\mathbf{x} + \mathbf{y} + \mathbf{z} = \mathbf{0}$, then $\mathbf{z} = -(\mathbf{x} + \mathbf{y})$.

📌 Since $\mathbf{z}$ is a unit vector:

📌 \|\mathbf{z}\|^2 = \|\mathbf{x} + \mathbf{y}\|^2 = 1

📌 \Rightarrow \|\mathbf{x}\|^2 + \|\mathbf{y}\|^2 + 2\mathbf{x} \cdot \mathbf{y} = 1

🔥 Popular Posts

= 2^3, \quad 12 = 2^2 \cdot 3^1
The highest power of 2 is \( 2^3 \).
The highest power of 3 is \( 3^1 \).
\text{LCM} = 2^3 \cdot 3^1 = 8 \cdot 3 = 24
Therefore, the least common multiple is \(\boxed{24}\).
Question: What is the smallest prime factor of 77?
Solution: To find the smallest prime factor of 77, we test divisibilit...
77 is odd, so it is not divisible by 2.
Sum of digits of 77 is \( 7 + 7 = 14 \), which is not divisible by 3,...
The last digit is not 0 or 5, so 77 is not divisible by 5.

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