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Home » Therefore, the horizontal asymptote is \(\boxedy = 3\). - DNSFLEX

Therefore, the horizontal asymptote is \(\boxedy = 3\). - DNSFLEX

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 \text{Ratio} = \frac{V_{\text{propeller}}}{V_{\text{drone}}} = \frac{\frac{4}{3} \pi}{\frac{500}{3} \pi}

📌 Simplify the ratio:

📌 \text{Ratio} = \frac{4}{500} = \frac{1}{125}

📌 Thus, the ratio of the volumes is \(\boxed{\frac{1}{125}}\).

📌 An urban planner is designing a new park with a circular pond. The pond has a diameter of 20 meters. A circular walking path is to be constructed around the pond, with a uniform width of 3 meters. What is the circumference of the outer edge of the walking path?

📌 First, find the radius of the pond. Since the diameter is 20 meters, the radius \( r_{\text{pond}} \) is:

📌 r_{\text{pond}} = \frac{20}{2} = 10 \text{ meters}

📌 The walking path extends the radius by 3 meters, so the radius of the outer edge of the path is:

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This is an arithmetic sequence with first term 1800, last term 1900, a...
Number of terms:
\frac{1900 - 1800}{4} + 1 = \frac{100}{4} + 1 = 25 + 1 = 26
There are 101 total years (from 1800 to 1900 inclusive).
So the probability that a single randomly chosen year is divisible by...
\frac{26}{101}
Since the selections are independent, the probability that all three y...
\left( \frac{26}{101} \right)^3 = \frac{17576}{1030301}
\boxed{\frac{17576}{1030301}}
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