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Home » Alternatively, perhaps "sum of first n terms" and we solve numerically. - 500apps

Alternatively, perhaps "sum of first n terms" and we solve numerically. - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 A micropaleontologist studies the geometry of fossilized foraminifera, modeled as perfect spheres, to deduce ancient ocean conditions. If the diameter of a fossil is $6$ micrometers, calculate its volume and explain how you determined the volume.

📌 The volume \( V \) of a sphere is calculated using the formula:

📌 \[ V = \frac{4}{3} \pi r^3 \]

📌 where \( r \) is the radius. Given the diameter is \(6\) micrometers, the radius \( r \) is:

📌 \[ r = \frac{6}{2} = 3 \text{ micrometers} \]

📌 Substitute \( r = 3 \) into the volume formula:

📌 \[ V = \frac{4}{3} \pi (3)^3 \]

📌 \[ V = \frac{4}{3} \pi \times 27 \]

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The least common multiple is \boxed{72}.
Question: What is the sum of all values of $ q $ for which $ \sqrt{(q...
Solution: Simplify the equation using absolute value:
|q + 3| = 5
This yields two solutions:
$ q + 3 = 5 \Rightarrow q = 2 $
$ q + 3 = -5 \Rightarrow q = -8 $
The sum is $ 2 + (-8) = -6 $.
The final answer is \boxed{-6}.Question: An anthropologist models the...
To find $\vec{w}$, we compute the linear combination:

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