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Home » Question: What is the remainder when $ 2^10 $ is divided by 7? - Dachbleche24

Question: What is the remainder when $ 2^10 $ is divided by 7? - Dachbleche24

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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\boxed{(6, 1)}Question: A hydrologist studying groundwater flow measur...
Solution: Let the measurement be $ u $, a positive multiple of 5 such...
We test successive multiples of 5:
$ u = 5 $: $ 5^3 = 125 $
$ u = 10 $: $ 10^3 = 1000 $
$ u = 15 $: $ 15^3 = 3375 $, which exceeds 1500.
Thus, the greatest multiple of 5 satisfying $ u^3 < 1500 $ is $ u = 10...
Therefore, the greatest possible value is $ \boxed{10} $.
Question: A palynologist analyzing pollen counts observes that the ave...
Solution: The average of $ 3u+2 $, $ 5u+7 $, and $ 4u+1 $ is given by:

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