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Home » DC Fans ARE BACK ON THE EDGE—The Most IMPRESSIVE Spoiler You’ve Ever Seen! - Imagemakers

DC Fans ARE BACK ON THE EDGE—The Most IMPRESSIVE Spoiler You’ve Ever Seen! - Imagemakers

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Question: What is the sum of the distinct prime factors of the number of ways to choose 3 AI startups from 10 selected for funding?

📌 Solution: The number of ways to choose 3 from 10 is:

📌 The distinct prime factors are $2, 3, 5$. Their sum is:

📌 $$A precision medicine pharmacogenomics expert in South Korea is analyzing a patients genetic profile to determine the optimal dosage of a targeted cancer drug. The drug requires 0.03 mg per kilogram of body weight, but due to a rare metabolic variation, the effective dose must be reduced by 25%. If the patient weighs 65 kg, what is the adjusted dosage in milligrams?

📌 A linguist studying language contact in multilingual communities observes that in a town of 12,000 residents, 45% speak Korean, 35% speak Mandarin, and 25% speak both. If a new language survey is conducted, what is the number of residents who speak only one of the two languages?

📌 Total who speak only one language: 2,400 + 1,200 = <<2400+1200=3600>>3,600.

📌 An AI healthcare programmer is training a deep learning model to detect tumors in MRI scans. The training dataset contains 15,000 images, divided equally among 5 tumor types. If the model achieves 96% accuracy on a held-out test set of 3,000 images (also balanced), and correctly identifies 95% of the 400 lung tumor images, how many lung tumor images were misclassified?

📌 A pharmacogenomics expert determines that a patient metabolizes a chemotherapy drug at 60% of the normal rate due to a CYP450 mutation. The standard dose is 120 mg every 24 hours, but for poor metabolizers, the dose must be halved. If the patient continues treatment for 7 days, what is the total adjusted dosage?

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\Delta A = A_2 - A_1 = 6\sqrt{133} - 60
Thus, the change in the area of the triangle is:
\boxed{6\sqrt{133} - 60 \text{ cm}^2}
Question:** A regular hexagon is inscribed in a circle of radius 10 cm...
The side length \( s \) of a regular hexagon inscribed in a circle is...
s = 10 \text{ cm}
The area \( A \) of a regular hexagon with side length \( s \) is give...
A = \frac{3\sqrt{3}}{2} s^2
So, the area of the original hexagon is:
A_1 = \frac{3\sqrt{3}}{2} \times 10^2 = 150\sqrt{3} \text{ cm}^2

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