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Home » Now use the point-slope form with point $ (1, 4) $: - Moon Smoking

Now use the point-slope form with point $ (1, 4) $: - Moon Smoking

📅 May 15, 2026 👤 scraface

May 15, 2026

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📌 A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. If the water is transferred to a rectangular tank measuring 4 meters by 3 meters, what will be the height of the water in the rectangular tank?

📌 Volume of the cylindrical tank is \( \pi \times 3^2 \times 5 = 45\pi \) cubic meters.

📌 Base area of the rectangular tank is 4 * 3 = 12 square meters.

📌 Height of water in the rectangular tank is \( \frac{45\pi}{12} = \frac{15\pi}{4} \approx 11.78 \) meters.

📌 #### \(\frac{15\pi}{4}\)

📌 A sequence is defined by \( a_n = 2n^2 + 3n + 1 \). What is the 10th term of the sequence?

📌 Substitute \( n = 10 \) into the formula:

📌 \( a_{10} = 2(10)^2 + 3(10) + 1 = 200 + 30 + 1 = 231 \).

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