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Home » At least **one pair of consecutive identical letters - Crankk.io

At least **one pair of consecutive identical letters - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Solve for \( x \): \( 15x - 5x = 200 \), thus \( 10x = 200 \).

📌 Divide both sides by 10: \( x = 20 \).

📌 A sequence is defined by \( a_n = 3n^2 - 2n + 1 \). Find the 5th term.

📌 Substitute \( n = 5 \) into the formula: \( a_5 = 3(5)^2 - 2(5) + 1 \).

📌 Calculate: \( a_5 = 3 \times 25 - 10 + 1 = 75 - 10 + 1 = 66 \).

📌 A sphere has a surface area of 144π square centimeters. What is its radius?

📌 Surface area \( S \) of a sphere is \( 4\pi r^2 \).

📌 Set \( 4\pi r^2 = 144\pi \).

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\[ = 6.5 \]
The area of the triangle is 6.5 square units.
\[ \int (3x^2 - 2x + 1) \, dx = \int 3x^2 \, dx - \int 2x \, dx + \int...
\[ = 3 \cdot rac{x^3}{3} - 2 \cdot rac{x^2}{2} + x + C \]
\[ = x^3 - x^2 + x + C \]
Therefore, the integral is:
The surface area \( SA \) of a rectangular prism is given by:
where \( l = 4 \) cm, \( w = 5 \) cm, and \( h = 6 \) cm.
\[ SA = 2(4 imes 5 + 4 imes 6 + 5 imes 6) \]
\[ SA = 2(20 + 24 + 30) \]

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