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Home » Roots from $ z^4 = -1 $: - Simpleprint

Roots from $ z^4 = -1 $: - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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📌 A paleobotanist examines fossilized leaves and finds that the ratio of broadleaf to needle-like plants in a prehistoric forest was 7:4. If she identifies 84 broadleaf fossils, how many needle-like fossils would her data suggest?

📌 The ratio 7:4 means 7 parts broadleaf to 4 parts needle-like.

📌 If 7 parts = 84 fossils, then 1 part = 84 / 7 = <<84/7=12>>12 fossils.

📌 So, 4 parts = 4 × 12 = <<4*12=48>>48 needle-like fossils.

📌 A computational analyst displays public health data showing that the number of weekly flu cases increased linearly from 120 in week 1 to 300 in week 6. What is the predicted number of cases in week 10 if the trend continues?

📌 The increase over 5 weeks is 300 − 120 = 180 cases.

📌 So, the weekly increase is 180 / 5 = <<180/5=36>>36 cases per week.

📌 From week 6 to week 10 is 4 weeks, so increase = 4 × 36 = <<4*36=144>>144.

🔥 Popular Posts

But in business models, average cost \( C(x)/x = 5000/x + 120 - 0.5x \...
Set:
Set \( P'(x) = 0 \): no solution. So minimum does not exist — function...
This suggests the model is invalid, but for math olympiad, likely the...
Wait — perhaps it's \( C(x) = 5000 + 120x - 0.5x^2 \), but \( x \) has...
Alternatively, the term \( -0.5x^2 \) may be a typo, and it should be...
So assume \( C(x) = 5000 + 120x + 0.5x^2 \). Then average cost:
P(x) = \frac{5000}{x} + 120 + 0.5x
Now take derivative:
P'(x) = -\frac{5000}{x^2} + 0.5

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