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Home » Is Your Windows Folder Untrusted? Learn the Super Easy Way to Password Protect It! - Sourci

Is Your Windows Folder Untrusted? Learn the Super Easy Way to Password Protect It! - Sourci

📅 April 29, 2026 👤 scraface

Apr 29, 2026

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📌 5Question: A paleobotanist is analyzing a fossilized circular leaf imprint with a radius of $3x$ units. A smaller spherical spore fossil inside it has a radius of $x$ units. What is the ratio of the volume of the spore to the volume of the leaf imprints corresponding full volume (if modeled as a full sphere with the same radius as the leaf)?

📌 The volume $V$ of a sphere is given by the formula:

📌 Let the radius of the leaf imprint be $R = 3x$, and the radius of the spore be $r = x$.

📌 Volume of the full leaf imprint modeled as a sphere with radius $3x$:

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-(2x - 5) + (x + 3) = -2x + 5 + x + 3 = -x + 8 = 12 \Rightarrow -x = 4...
But $ -4 < -3 $, not in interval — discard.
$ x \ge \frac{5}{2} $:
Then both expressions $ \ge 0 $:
Which is $ \ge \frac{5}{2} = 2.5 $ — valid.
The two valid solutions are $ x = -\frac{10}{3} $ and $ x = \frac{14}{...
Thus, the answer is $ \boxed{\dfrac{14}{3}} $.Question: Find the small...
Solution: Using the sum-to-product identity:
\cos A + \cos B = 2 \cos\left(\frac{A + B}{2}\right) \cos\left(\frac{A...
Let $A = \theta + 60^\circ$, $B = \theta - 60^\circ$. Then:

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