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Home » Since \( x \) must be a whole number, check calculations: - Blask

Since \( x \) must be a whole number, check calculations: - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A chemist combines two catalysts in a green reaction. The optimal ratio is 5 grams of Catalyst X to 7 grams of Catalyst Y. If she has 35 grams of Catalyst X, how much of Catalyst Y is needed, and what is the total mass of the mixture?

📌 Ratio 5:7 → 35 / 5 = 7, so multiply ratio by 7.

📌 Catalyst Y needed = 7 × 7 = <<7*7=49>>49 grams

📌 Total mixture = 35 + 49 = <<35+49=84>>84 grams

📌 #### 84A bioinformatician is analyzing a genome sequence that is 3.2 billion base pairs long. She uses a computational tool that processes 4 million base pairs per minute. If the analysis must be completed within 2 hours, how many parallel processing units are needed to finish on time?

📌 First, calculate the total base pairs: 3.2 billion = 3,200,000,000.

📌 Each minute, one unit processes 4 million = 4,000,000 base pairs.

📌 One unit processes in 2 hours: 2 × 60 = 120 minutes → 120 × 4,000,000 = 480,000,000 base pairs.

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Thus, the value of $ c_3 $ is:
\boxed{\frac{46}{81}}
$$**Question:** A plant biologist is analyzing a genetic sequence patt...
Solution:** The sequence given is an arithmetic sequence where the fir...
The general formula for the \( n \)-th term of an arithmetic sequence...
a_n = a + (n - 1)d
So the 100th term is:
a_{100} = 5 + (100 - 1) \cdot 6 = 5 + 99 \cdot 6 = 5 + 594 = 599
To find how many terms are in the sequence up to 100, note that we are...
Thus, the number of such genetic markers in the first 100 terms is:

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