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Home » Let the distance be \(d\). - AMAZONAWS

Let the distance be \(d\). - AMAZONAWS

📅 March 7, 2026 👤 scraface

Mar 07, 2026

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📌 Hence, no such sequence exists.

📌 Final answer: $\boxed{\text{No such sequence exists}}$

📌 Question: Factor the expression $12x^3 - 18x^2 + 6x$ completely.

📌 Solution: Factor out the greatest common factor, $6x$:

📌 12x^3 - 18x^2 + 6x = 6x(2x^2 - 3x + 1)

📌 Now factor the quadratic: $2x^2 - 3x

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\frac{40}{120} = \frac{1}{3}
\boxed{\frac{1}{3}}
Question: An entomologist is observing 20 different insect species in...
We use combinations to compute the probability.
Total number of ways to choose 6 species from 20:
\binom{20}{6}
Number of favorable outcomes (choosing 4 from the 8 related and 2 from...
\binom{8}{4} \cdot \binom{12}{2}
\binom{8}{4} = 70,\quad \binom{12}{2} = 66,\quad \binom{20}{6} = 38760
\frac{70 \cdot 66}{38760} = \frac{4620}{38760} = \frac{77}{646}

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