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Home » \barx = \fracx_1 + x_22 - Blask

\barx = \fracx_1 + x_22 - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Here, \(a = -2\), \(b = 80\).

📌 \(x = -\frac{80}{2 \times -2} = 20\).

📌 Maximum profit: \(P(20) = -2(20)^2 + 80(20) - 150\).

📌 \(= -800 + 1600 - 150 = 650\).

📌 The sum of the first \(n\) positive integers is 5050. Find \(n\).

📌 Formula: \(\frac{n(n+1)}{2} = 5050\).

📌 \(n(n+1) = 10100\).

📌 \(n^2 + n - 10100 = 0\).

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The area \( A \) is \( l \times w = 12 \times 6 = 72 \).
#### 72 square meters
A projectile is launched with an initial velocity of 50 m/s at an angl...
The formula for the range \( R \) is \( R = \frac{v^2 \sin(2\theta)}{g...
\( v = 50 \, \text{m/s} \), \( \theta = 30^\circ \), and \( g = 9.8 \,...
Calculate \( \sin(60^\circ) \approx 0.866 \).
Substitute the values: \( R = \frac{50^2 \times 0.866}{9.8} \).
Calculate \( 50^2 = 2500 \).
Multiply: \( 2500 \times 0.866 = 2165 \).
Divide by \( 9.8 \): \( R \approx 2165 / 9.8 \approx 220.92 \).

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