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Home » A quadratic equation \( x^2 - 4x - 5 = 0 \) has solutions: - Richter Guitar

A quadratic equation \( x^2 - 4x - 5 = 0 \) has solutions: - Richter Guitar

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 \binom{6}{3} = \frac{6 \times 5 \times 4}{3 \times 2 \times 1} = 20

📌 A patent lawyer is reviewing 4 patent documents, each containing 5 claims. If he reviews one claim per hour, how many hours will it take to review all claims?

📌 Each document has 5 claims, and there are 4 documents, resulting in a total of \(4 \times 5 = 20\) claims. At one claim per hour, it will take 20 hours.

📌 A STEM enthusiast is exploring binary code and learns that a 4-bit binary number can represent 16 different values. What is the total number of different 4-bit binary numbers possible?

📌 A 4-bit binary number has each bit with 2 possibilities (0 or 1). Therefore, the total number of different 4-bit binary numbers is \(2^4\).

📌 A tech company’s AI model processes data in batches. If each batch contains 8 data points and the model processes 10 batches per minute, how many data points are processed in one hour?

📌 First, calculate the number of data points processed per minute: \(8 \text{ data points/batch} \times 10 \text{ batches/minute} = 80 \text{ data points/minute}\). Then, calculate for one hour: \(80 \text{ data points/minute} \times 60 \text{ minutes/hour} = 4800 \text{ data points/hour}\).

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