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Home » Given \(A = 36\sqrt3\), solve for \(s\): - All Square Golf

Given \(A = 36\sqrt3\), solve for \(s\): - All Square Golf

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 A virologist is studying the replication rate of a virus in a controlled environment. The virus doubles in quantity every 3 hours. If the initial count of viral particles is 1,000, how many viral particles will there be after 24 hours?

📌 Determine how many 3-hour periods are in 24 hours:

📌 \( \frac{24 \text{ hours}}{3 \text{ hours per period}} = 8 \text{ periods} \)

📌 Since the virus doubles every period, the growth factor is \(2^8\).

📌 \( 2^8 = 256 \)

📌 Multiply the initial count by the growth factor:

📌 \( 1,000 \times 256 = 256,000 \)

📌 #### 256,000

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\[ V = \pi \times 3^2 \times 5 = 45\pi \text{ cubic meters} \]
Next, divide the volume by the rate of filling:
\[ \frac{45\pi}{2} \approx \frac{141.37}{2} \approx 70.69 \text{ minut...
#### 70.69
A quadratic equation is given by \( 3x^2 - 12x + 9 = 0 \). Find the ro...
Here, \( a = 3 \), \( b = -12 \), and \( c = 9 \).
\[ b^2 - 4ac = (-12)^2 - 4 \times 3 \times 9 = 144 - 108 = 36 \]
\[ x = \frac{12 \pm \sqrt{36}}{6} = \frac{12 \pm 6}{6} \]
\[ x = 3 \quad \text{or} \quad x = 1 \]
A piece of wire is 24 meters long and is bent to form a rectangle with...

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