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Home » \( v = 50 \, \textm/s \), \( \theta = 30^\circ \), and \( g = 9.8 \, \textm/s^2 \). - go-checkin.com

\( v = 50 \, \textm/s \), \( \theta = 30^\circ \), and \( g = 9.8 \, \textm/s^2 \). - go-checkin.com

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 A virologist measures the decay of viral protein concentration, losing 30% of its activity each hour. If the initial concentration is 500 units, what will it be after 3 hours?

📌 Determine the hourly remaining percentage:

📌 Remaining = \( 100\% - 30\% = 70\% = 0.70 \)

📌 Calculate the concentration after 3 hours:

📌 \( 500 \times 0.70^3 \)

📌 Compute \( 0.70^3 \):

📌 \( 0.70^3 = 0.343 \)

📌 Multiply by initial concentration:

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\[ t = \frac{\ln(2)}{0.05} \]
Calculate the value:
\[ t \approx \frac{0.693147}{0.05} \approx 13.86294 \]
Thus, the time \( t \) is approximately:
\[\boxed{13.86} \]
Years.
A linguist studying language evolution uses computational models to an...
The given function is \( f(x) = a \sin(bx + c) + d \).
Using \( f(0) = 2 \):
\[ f(0) = a \sin(c) + d = 2 \]

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