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Home » "Dead Fish in the River? Scientists Are Blaming This Unbelievable Discovery! - Carbonext

"Dead Fish in the River? Scientists Are Blaming This Unbelievable Discovery! - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \frac{11u + 10}{3}

📌 $\boxed{\dfrac{11u + 10}{3}}$

📌 Question: A museum curator notes that the ratio of 19th-century telescopes to 20th-century microscopes in the collection is $5:4$. If there are 15 telescopes, how many microscopes are there?

📌 Solution: Let the number of microscopes be $x$. The ratio $5:4 = 15:x$ implies:

📌 \frac{5}{4} = \frac{15}{x} \implies 5x = 60 \implies x = 12

📌 Question: An AI ethics investigator evaluates algorithmic fairness by calculating the average of three fairness scores: $3x - 1$, $5x + 4$, and $2x - 7$. What is the average?

📌 Solution: Sum the expressions:

📌 \frac{10x - 4}{3}

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\frac{V_2}{V_1} = \frac{18\pi x^3}{\frac{32}{3}\pi x^3} = \frac{18}{\f...
Thus, the ratio is:
\boxed{\frac{27}{16}}
Question:** In a right triangle, the hypotenuse is \(c\) and the radiu...
For a right triangle with legs \(a\), \(b\), hypotenuse \(c\), and inr...
The semiperimeter \(s\) is:
s = \frac{a + b + c}{2}
The inradius is related to area by:
A = r \cdot s \quad \Rightarrow \quad r = \frac{A}{s}
We want to compute \(\frac{A}{r^2}\):

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