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where to watch las vegas aces vs new york liberty - Network4

📅 May 20, 2026 👤 scraface

May 20, 2026

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📌 #### 189Question: A civil engineer tests 40 concrete samples, 65% of which pass strength tests. After testing 10 more samples, the pass rate increases to 70%. How many of the additional samples passed?

📌 Solution: First, factor $ 2025 $. We find:

📌 So the distinct prime factors of $ 2025 $ are $ 2 $, namely $ 3 $ and $ 5 $. Hence, the number of distinct prime factors is $ 2 $.

📌 Now compute the least common multiple of $ 2 $ and $ 9 $:

📌 Now compute the least common multiple of $ 8 $ and $ 15 $:

📌 Now find the remainder when $ 6084 $ is divided by $ 120 $:

📌 Question: A green infrastructure project involves planting trees in a grid pattern across $ 1001 $ city blocks. If each block receives a number of trees equal to the number of positive divisors of its index (from $ 1 $ to $ 1001 $), what is the total number of trees planted modulo $ 10 $?

📌 Where $ d(n) $ is the number of positive divisors of $ n $. While computing the full sum is tedious, we can observe a known result:

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