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Home » Use the formula for the sum of the first n natural numbers: Sum = n(n + 1)/2 - 500apps

Use the formula for the sum of the first n natural numbers: Sum = n(n + 1)/2 - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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The total difference between highest and lowest is:
The third sample has nutrient level $ a = 22 $.
Thus, the nutrient level at the third sample is $ \boxed{22} $.
Question: If $ x + y = 10 $ and $ x^2 + y^2 = 58 $, find $ x^3 + y^3 $...
x^3 + y^3 = (x + y)^3 - 3xy(x + y)
$ x + y = 10 $, $ x^2 + y^2 = 58 $
Recall:
Now substitute into the identity:
x^3 + y^3 = (10)^3 - 3(21)(10) = 1000 - 630 = 370
Thus, $ x^3 + y^3 = \boxed{370} $.

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