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Home » 100 Years of Cinema: The Most Unforgettable Moments from a Century of Movies! - Upplift

100 Years of Cinema: The Most Unforgettable Moments from a Century of Movies! - Upplift

📅 March 2, 2026 👤 scraface

Mar 02, 2026

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📌 Taking the square root of both sides, we get:

📌 x < \sqrt{1000} \approx 31.62

📌 Since \( x \) must be a positive multiple of 3, we consider the multiples of 3 that are less than 31.62: \( 3, 6, 9, \ldots, 30 \). The largest multiple of 3 less than 31.62 is 30. To verify:

📌 30^2 = 900 < 1000

📌 Thus, the largest possible value of \( x \) is \(\boxed{30}\).

📌 Question:** A mechanical engineer is designing a component for an HVAC system. The component must fit between two points that are \( 4\pi \) and \( 10\pi \) units apart. How many whole numbers lie within this interval?

📌 Solution:** First, approximate the interval endpoints using \( \pi \approx 3.14 \):

📌 4\pi \approx 4 \times 3.14 = 12.56

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