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Home » Loam: \( 0.4 \times 80 = 32 \, \textkg \) - Blask

Loam: \( 0.4 \times 80 = 32 \, \textkg \) - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \times 60 = 360 \text{ seconds}

📌 Data points are recorded every 4 seconds, including at time $ t = 0 $. The number of points is given by:

📌 \frac{360}{4} + 1 = 90 + 1 = 91

📌 Thus, 91 data points are recorded.

📌 \boxed{91}

📌 Question: An elementary school student learns that Mercury takes 88 Earth days to orbit the Sun, while Jupiter takes 4,333 Earth days. If both planets begin their orbits on the same day, after how many Earth days will they align again at the starting position?

📌 Solution: The time until alignment is the least common multiple (LCM) of 88 and 4,333. First, factor both numbers:

📌 $ 88 = 8 \times 11 = 2^3 \times 11 $

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Final answer: $ \boxed{(2x - 3y)(2x + 3y)(4x^2 + 9y^2)} $
Question: Compute the square of $ 3\sqrt{2} - 2\sqrt{3} $.
Use the identity $ (a - b)^2 = a^2 - 2ab + b^2 $:
Compute each term:
2(3\sqrt{2})(2\sqrt{3}) = 12\sqrt{6}
Final answer: $ \boxed{30 - 12\sqrt{6}} $
Question: Rationalize the denominator of $ \frac{5}{\sqrt{7} + \sqrt{2...
Multiply numerator and denominator by the conjugate $ \sqrt{7} - \sqrt...
\frac{5}{\sqrt{7} + \sqrt{2}} \cdot \frac{\sqrt{7} - \sqrt{2}}{\sqrt{7...
Simplify the denominator using the difference of squares:

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