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examples of homeostasis - Imagemakers

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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x^2 + y^2 + rac{3}{4}z^2 + 2z - 4 = 0.
Now complete the square for $ z $:
rac{3}{4}z^2 + 2z = rac{3}{4}(z^2 + rac{8}{3}z) = rac{3}{4}\left( \...
ight)^2 - rac{16}{9}
ight) = rac{3}{4}\left(z + rac{4}{3}
ight)^2 - rac{4}{3}.
x^2 + y^2 + rac{3}{4}\left(z + rac{4}{3}
ight)^2 - rac{4}{3} - 4 = 0 \Rightarrow x^2 + y^2 + rac{3}{4}\left(z...
ight)^2 - rac{16}{3} = 0.
Move constant:

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Expected infections: \( 0.0125 \times 10,000 = 125 \)
Observed: 200
Observed rate: \( \frac{200}{10,000} = 2\% \)
2% > 1.25% → higher incidence, inconsistent with vaccine efficacy (cou...
But since the question asks for a numerical result: How many fewer inf...
Expected: 125, observed: 200 → expected reduction not applicable direc...
Alternatively, compute expected reduction:
Expected unvaccinated infections: 500
With 75% efficacy, expected vaccinated infections: \( 500 \times 0.25\...
But precise answer: Observed excess: 200 -

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