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Home » Set 10 × 2^(t/3) ≥ 1,000,000 - Sterling Industries

Set 10 × 2^(t/3) ≥ 1,000,000 - Sterling Industries

📅 April 15, 2026 👤 scraface

Apr 15, 2026

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📌 After 3 hrs: \( 450 \times 1.5 = 675 \)

📌 After 4 hrs: \( 675 \times 1.5 = 1012.5 \)

📌 After 5 hrs: \( 1012.5 \times 1.5 = 1518.75 \)

📌 After 6 hrs: \( 1518.75 \times 1.5 = 2278.125 \)

📌 #### 2278.125**Question:** A geophysicist is analyzing the cross-sectional area of a circular seismic sensor with a diameter of 10 cm. If a rectangular area of 6 cm by 8 cm is subtracted from the circle, what is the remaining area of the cross-section? Express your answer in terms of \(\pi\).

📌 First, calculate the area of the circular cross-section. The radius \( r \) of the circle is half the diameter, so \( r = \frac{10}{2} = 5 \) cm.

📌 The area of the circle is given by the formula:

📌 A_{\text{circle}} = \pi r^2 = \pi \times 5^2 = 25\pi \text{ square centimeters}

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