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Home » Isabelle Animal Crossing Secrets Every Fan Has Been Waiting For! - Leaselab

Isabelle Animal Crossing Secrets Every Fan Has Been Waiting For! - Leaselab

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Question:** A soil scientist identifies the distinct prime factors of a soil sample's nutrient count number 84. What is the sum of these distinct prime factors?

📌 First, find the prime factorization of 84:

📌 = 2 \times 42 = 2 \times 2 \times 21 = 2^2 \times 3 \times 7

📌 The distinct prime factors are \(2\), \(3\), and \(7\).

📌 + 3 + 7 = 12

📌 Thus, the sum of the distinct prime factors is \(\boxed{12}\).

📌 Question:** An archaeologist finds two stone tablets with inscriptions totaling 36 symbols. What is the probability that a randomly selected symbol count \( n \) (from 1 to 36, inclusive) is a factor of 36?

📌 First, determine the total number of possible symbol counts: from 1 to 36, so there are 36 possible values.

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\frac{V_{\text{cone}}}{V_{\text{cylinder}}} = \frac{\frac{1}{3} \pi r^...
Thus, the final answer is \(\boxed{\frac{1}{3}}\).
A regular tetrahedron has a side length of $s$. Determine the ratio of...
The volume of a regular tetrahedron with side length $s$ is given by:
V_{\text{tetrahedron}} = \frac{\sqrt{2}}{12} s^3
The radius of the circumscribed sphere (circumradius) of a regular tet...
R = \frac{s \sqrt{6}}{4}
The volume of the sphere is:
V_{\text{sphere}} = \frac{4}{3} \pi R^3 = \frac{4}{3} \pi \left(\frac{...
The ratio of the volume of the tetrahedron to the volume of the sphere...

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