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Home » Bat Size Chart You’ve Been Searching For—Perfect Your Dream Bat Jamboree! - Dyverse

Bat Size Chart You’ve Been Searching For—Perfect Your Dream Bat Jamboree! - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Using the identity \(r_1^2 + r_2^2 = (r_1 + r_2)^2 - 2r_1r_2\)

📌 \(r_1 + r_2 = 5\) (sum of roots)

📌 \(r_1r_2 = 6\) (product of roots)

📌 \(r_1^2 + r_2^2 = 5^2 - 2 imes 6 = 25 - 12 = 13\)

📌 ### Question 8

📌 A bank offers a compound interest rate of 5% per annum. If $1000 is invested, what will be the amount after 3 years?

📌 Amount = Principal \((1 + ext{rate})^{ ext{time}}\)

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- 30 = 9
Thus, the answer is $ \boxed{9} $.
Question: A science journalist analyzing a dataset finds that $ x + \f...
Solution: We are given $ x + \frac{1}{x} = 4 $. Square both sides:
\left(x + \frac{1}{x}\right)^2 = 4^2 = 16
\Rightarrow x^2 + 2 + \frac{1}{x^2} = 16
\Rightarrow x^2 + \frac{1}{x^2} = 14
Now multiply both sides by 5:
5x^2 + \frac{5}{x^2} = 5 \times 14 = 70
Thus, the value is $ \boxed{70} $.

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