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Home » Tiber Septim: The Real Legend Behind Marcus Aurelius’s Forgotten Legacy You Missed - Leaselab

Tiber Septim: The Real Legend Behind Marcus Aurelius’s Forgotten Legacy You Missed - Leaselab

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 \( \frac{t}{3} \geq 13.9657 \Rightarrow t \geq 41.897 \)

📌 Since days are discrete, round up to 42 days.

📌 A product designer is creating a mobile app interface where a button must be centered both vertically and horizontally within a screen that is 1080 pixels wide and 1920 pixels tall. The button’s height is 60 pixels and width is 160 pixels. What is the distance from the top and left edges of the screen to the top-left corner of the button?

📌 Vertical centering: screen height = 1920, button height = 60 → distance from top: \( \frac{1920 - 60}{2} = \frac{1860}{2} = 930 \) pixels

📌 Horizontal centering: screen width = 1080, button width = 160 → distance from left: \( \frac{1080 - 160}{2} = \frac{920}{2} = 460 \) pixels

📌 #### 930 and 460

📌 A startup’s user base grows exponentially. On day 0, there are 1,200 users. After 10 days, the base reaches 7,680 users. Assuming continuous exponential growth \( P(t) = P_0 e^{kt} \), what is the approximate number of users after 20 days?

📌 \( P_0 = 1200 \), \( P(10) = 7680 \)

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