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Home » From Kitchen to Fame: How Mama Mezze’s Mezze Made Viral Sensation Overnight! - Abbey Badges

From Kitchen to Fame: How Mama Mezze’s Mezze Made Viral Sensation Overnight! - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 \frac{\pi}{6}t + \phi = \frac{\pi}{2} \Rightarrow t = \frac{\frac{\pi}{2} - \phi}{\frac{\pi}{6}} = \frac{6}{\pi} \left( \frac{\pi}{2} - \arctan\left(\frac{3}{4}\right) \right)

📌 Using $ \arctan\left(\frac{3}{4}\right) \approx 0.6435 $ radians:

📌 t \approx \frac{6}{\pi} \left( \frac{\pi}{2} - 0.6435 \right) \approx \frac{6}{\pi} (1.5708 - 0.6435) = \frac{6}{\pi} (0.9273) \approx 1.77 \text{ hours}

📌 So the maximum tide height of $ \boxed{5} $ occurs approximately at $ \boxed{1.77} $ hours after midnight, or around 1:46 AM.

📌 Question: A physiological researcher is analyzing the periodic response of heart rate variability over a 24-hour period, modeled by the function $ f(t) = 5\cos\left(\frac{\pi}{12}t\right) + 12\sin\left(\frac{\pi}{12}t\right) $. What is the amplitude of this function, and at what time does the maximum occur?

📌 This function can be expressed in the form $ R\cos\left(\frac{\pi}{12}t - \phi\right) $, where $ R = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13 $

📌 So the amplitude is $ \boxed{13} $.

📌 To find the time of maximum:

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\[ b^2 - 4ac = (-4)^2 - 4 imes 2 imes (-6) = 16 + 48 = 64 \]
Apply the quadratic formula:
\[ x = rac{-(-4) \pm \sqrt{64}}{4} = rac{4 \pm 8}{4} \]
This gives two solutions:
\[ x = rac{4 + 8}{4} = 3 \quad ext{and} \quad x = rac{4 - 8}{4} = -...
A train travels 300 kilometers in 3 hours. What is its average speed i...
Average speed is calculated by the formula \( ext{speed} = rac{ ext{d...
\[ ext{speed} = rac{300 ext{ km}}{3 ext{ hr}} = 100 ext{ km/hr} \...
Simplify the expression \( rac{3^5 imes 3^{-2}}{3^3} \).
Apply the properties of exponents:

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