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Home » Calculate \( 1.15^4 \approx 1.74900625 \). - Ready Digital AB

Calculate \( 1.15^4 \approx 1.74900625 \). - Ready Digital AB

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 Inflow: \( 0.1 \, \text{kg/L} \times 5 \, \text{L/min} = 0.5 \, \text{kg/min} \).

📌 Outflow: \( \frac{V(t)}{200} \times 0.1 \times 5 \, \text{L/min} = \frac{0.5V(t)}{200} \).

📌 Let \( S(t) \) be the salt in kg at time \( t \).

📌 The differential equation is \( \frac{dS}{dt} = 0.5 - \frac{0.5S}{200} \).

📌 Solving gives \( S(t) = 10e^{-0.0025t} + 20(1 - e^{-0.0025t}) \).

📌 At \( t = 30 \), \( S(30) = 10e^{-0.075} + 20(1 - e^{-0.075}) \approx 14.31 \) kg.

📌 #### 14.31

📌 A car accelerates uniformly from rest to 60 m/s in 10 seconds, then maintains constant speed for 20 seconds, and finally decelerates uniformly to rest in 5 seconds. What is the total distance traveled?

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\boxed{2 + \sqrt{3}}
Question: A historian discovers a triangular tablet with sides 17 cm,...
Solution: Use the formula for the circumradius $R$ of a triangle:
R = \frac{abc}{4A}
where $a = 17$, $b = 25$, $c = 28$, and $A$ is the area. First, comput...
s = \frac{17 + 25 + 28}{2} = 35
Then compute the area using Heron’s formula:
A = \sqrt{35(35 - 17)(35 - 25)(35 - 28)} = \sqrt{35 \cdot 18 \cdot 10...
Now compute $R$:
R = \frac{17 \cdot 25 \cdot 28}{4 \cdot 210} = \frac{11900}{840} = \fr...

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