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📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 A science administrator is allocating $1.2 million in research grants among 15 projects. If each project receives an equal share, and 3 of them are high-priority and receive an additional $20,000 each as incentives, how much total additional funding goes to the high-priority projects?

📌 Additional per high-priority project: $20,000

📌 An electrical engineer is designing a power system that requires 480 volts. If each battery supplies 12 volts, how many batteries must be connected in series to achieve exactly 480 volts?

📌 An epidemiologist models the spread of a virus with a basic reproduction number $ R_0 = 3 $. If one person is infected initially, how many total people will be infected after 4 generations of transmission (assuming no immunity or interventions)?

📌 A science administrator reviews 45 grant proposals. If 20% are declined immediately, and of the remaining, one-third receive full funding while the rest receive partial funding, how many proposals receive partial funding?

📌 An electrical engineer needs to power a remote station in Austin using solar panels. Each panel generates 250 watts. If the station requires 10,000 watts and the system must include 20% extra capacity for cloudy days, how many solar panels are needed?

📌 An epidemiologist estimates that a flu strain spreads such that the number of cases increases by 50% each week. If there are 2,000 cases now, how many weeks will it take for cases to exceed 10,000?

📌 A science administrator organizes a conference with 120 attendees. If 60% are researchers, 25% are engineers, and the rest are students, and each group is to be seated in rooms of 10, how many student rooms are needed?

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