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Home » #### Radius: Approximately 3.99 cm - AIKO, infinite ways to autonomy.

#### Radius: Approximately 3.99 cm - AIKO, infinite ways to autonomy.

📅 May 3, 2026 👤 scraface

May 03, 2026

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Current height of the cliff = 120 meters
Erosion rate = 1.5 meters per year
Let \( t \) be the total years until the cliff erodes completely.
\[ 120 - 1.5t = 0 \]
\[ 1.5t = 120 \]
\[ t = \frac{120}{1.5} = 80 \]
A science journalist is investigating the doubling time of a bacterial...
Initial count, \( N_0 = 250 \)
Doubling time, \( T = 3 \) hours
Total time, \( t = 18 \) hours

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\]Question: A weather balloon is modeled as a sphere with radius $ r $...
Solution: The volume of a sphere is given by $ V = \frac{4}{3} \pi r^3...
We are given that $ \frac{dV}{dt} = k \sin \theta $, and $ \theta = 60...
k \cdot \frac{\sqrt{3}}{2} = 4\pi r^2 \frac{dr}{dt}
Solving for $ \frac{dr}{dt} $:
\frac{dr}{dt} = \frac{k \sqrt{3}}{8\pi r^2}
The rate of volume increase is given directly as $ \frac{dV}{dt} = k \...
\frac{dV}{dt} = \frac{k\sqrt{3}}{2}
Thus, the rate of volume increase at $ \theta = 60^\circ $ is $ \boxed...
Question: A data analyst plots a triangle on a coordinate plane with s...

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