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Home » B) $ \frac8414 = 6 $ - Feedz API

B) $ \frac8414 = 6 $ - Feedz API

📅 May 16, 2026 👤 scraface

May 16, 2026

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Solution: The diagonal of the rectangle is $ \sqrt{6^2 + 8^2} = 10 $ c...
To solve this problem, we use combinations to determine the number of...
Total ways to draw 4 marbles from 15:
The total number of ways to draw 4 marbles from a bag containing 7 red...
\binom{15}{4} = \frac{15 \times 14 \times 13 \times 12}{4 \times 3 \ti...
Ways to draw exactly 2 red marbles:
We choose 2 red marbles from the 7 available:
\binom{7}{2} = \frac{7 \times 6}{2 \times 1} = 21
We also choose 2 blue marbles from the 8 available:
\binom{8}{2} = \frac{8 \times 7}{2 \times 1} = 28

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Length per turn = \( \sqrt{(\text{circumference})^2 + (\text{pitch})^2...
Number of turns in 10 m: \( \frac{10}{1.895} \approx 5.273 \).
Total path length: \( 5.273 \times 1.895 \approx 10.0 \) m (approximat...
Time = \( \frac{10}{0.4} = 25 \) seconds.
But uses approximation.
To avoid, redefine:
A robotic arm traverses a helical path on a cylindrical component with...
Then total path length = \( 5 \times \sqrt{(2\pi r)^2 + 0.4^2} \), but...
Still missing.
Final decision: use a linear displacement only and ignore path curvatu...

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