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Home » y = c \sin^2(\phi) \sin heta - High Altitude Science

y = c \sin^2(\phi) \sin heta - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 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.

📌 Predicted cases in week 10: 300 + 144 = <<300+144=444>>444.

📌 A chemist synthesizes a compound requiring 0.4 moles of reagent A and 0.6 moles of reagent B. If she has 3 moles of reagent A and 4.5 moles of reagent B, how many full batches can she make?

📌 One batch requires 0.4 mol A and 0.6 mol B.

📌 With 3 mol A, she can make 3 / 0.4 = <<3/0.4=7.5>>7.5 batches.

📌 With 4.5 mol B, she can make 4.5 / 0.6 = <<4.5/0.6=7.5>>7.5 batches.

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\( b_2 = M(b_1) = M(1) = 1 - \frac{1^4}{4} = 1 - \frac{1}{4} = \frac{3...
\( b_3 = M(b_2) = M\left(\frac{3}{4}\right) = \frac{3}{4} - \frac{\lef...
Compute \( \left(\frac{3}{4}\right)^4 = \frac{81}{256} \), so:
b_3 = \frac{3}{4} - \frac{1}{4} \cdot \frac{81}{256} = \frac{3}{4} - \...
Convert \( \frac{3}{4} = \frac{768}{1024} \):
b_3 = \frac{768 - 81}{1024} = \frac{687}{1024}
\boxed{\frac{687}{1024}}.
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