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Home » = 45^2 = (3^2 \cdot 5)^2 = 3^4 \cdot 5^2 - Dyverse

= 45^2 = (3^2 \cdot 5)^2 = 3^4 \cdot 5^2 - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 The period of a pendulum is given by \( T = 2\pi \sqrt{\frac{L}{g}} \). If \( L \) increases by 44%, the new length is \( 1.44L \). The new period \( T' \) is:

📌 \[ T' = 2\pi \sqrt{\frac{1.44L}{g}} = 2\pi \sqrt{1.44} \sqrt{\frac{L}{g}} \]

📌 \[ T' = \sqrt{1.44} \times 2 \approx 1.2 \times 2 = 2.4 \, \text{seconds} \]

📌 A company's revenue increased by 25% from $80,000 to $100,000. If the expenses increased by 10% from $50,000, what is the new profit?

📌 First, calculate the new expenses:

📌 \[ 50,000 \times 1.10 = 55,000 \]

📌 Then, calculate the new profit:

📌 \[ 100,000 - 55,000 = 45,000 \]

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