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Home » Substitute the value into the formula: - Moon Smoking

Substitute the value into the formula: - Moon Smoking

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 A chemical reaction in a laboratory yields a product that occurs at a rate directly proportional to the square of the concentration of reactant A. If the initial concentration of reactant A is 2 M and decreases to 1 M over 10 minutes, how long would it take for the concentration to decrease to 0.5 M, assuming the reaction rate remains consistent with the initial conditions?

📌 The rate of decrease in concentration is proportional to the square of concentration, so:

📌 A cylindrical tank with a height of 10 meters and a radius of 3 meters is being filled with water at a rate of 1.5 cubic meters per minute. How long will it take to fill the tank completely?

📌 To confirm its a maximum, check the second derivative:

📌 Therefore, selling 50 units maximizes profit.

📌 A radioactive substance decays such that its mass halves every 3 years. If the initial mass is 80 grams, what will the mass be after 9 years?

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