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Home » Question: Compute the square of $ 3\sqrt2 - 2\sqrt3 $. - Esdistancia

Question: Compute the square of $ 3\sqrt2 - 2\sqrt3 $. - Esdistancia

📅 March 17, 2026 👤 scraface

Mar 17, 2026

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A ball is thrown upward with an initial velocity of 20 m/s from a heig...
Set \( h(t) = 0 \): \( -5t^2 + 20t + 5 = 0 \).
Divide by -5: \( t^2 - 4t - 1 = 0 \).
Using the quadratic formula: \( t = \frac{4 \pm \sqrt{16 + 4}}{2} = \f...
Since time must be positive, \( t = 2 + \sqrt{5} \approx 4.24 \) secon...
The sum of the first \( n \) terms of an arithmetic sequence is given...
Substitute \( n = 10 \), \( S_{10} = 150 \), \( a = 5 \):
\( 150 = \frac{10}{2}(2 \cdot 5 + 9d) = 5(10 + 9d) \).
So, \( 150 = 50 + 45d \).
Then, \( 100 = 45d \) and \( d = \frac{20}{9} \).

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