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Home » You Won’t Believe These Argumentative Essay Examples That Killed Every Debate! - Midis

You Won’t Believe These Argumentative Essay Examples That Killed Every Debate! - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 \[ r = rac{31.4159}{2 imes 3.14159} = rac{31.4159}{6.28318} pprox 5 \]

📌 Calculate the derivative of the function \(f(x) = 4x^3 - 5x^2 + 2x - 7\).

📌 Derivative:

📌 \[ f'(x) = 12x^2 - 10x + 2 \]

📌 If a geometric sequence has a first term of 5 and a common ratio of 3, what is the 4th term?

📌 The \(n\)-th term of a geometric sequence is given by \(a_n = a \cdot r^{n-1}\).

📌 Substitute \(a = 5\), \(r = 3\), and \(n = 4\):

📌 \[ a_4 = 5 \cdot 3^{4-1} = 5 \cdot 3^3 = 5 \cdot 27 = 135 \]

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The sum of the squares of three consecutive integers is 365. What is t...
Let the integers be \( n - 1, n, n + 1 \).
Their squares sum to \( (n - 1)^2 + n^2 + (n + 1)^2 = 365 \).
This expands to \( n^2 - 2n + 1 + n^2 + n^2 + 2n + 1 = 365 \).
Simplifying, \( 3n^2 + 2 = 365 \) leads to \( 3n^2 = 363 \).
Thus, \( n^2 = 121 \), so \( n = 11 \) (since \( n \) is an integer).
A right triangle has legs of lengths 8 and 15. What is the length of t...
Using the Pythagorean theorem, \( a^2 + b^2 = c^2 \), where \( a = 8 \...
Calculating, \( 8^2 + 15^2 = 64 + 225 = 289 \).
Thus, \( c = \sqrt{289} = 17 \).

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