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Home » Descubre los 11 Trucos Increíbles del Español que Todos Están Usando - Moon Smoking

Descubre los 11 Trucos Increíbles del Español que Todos Están Usando - Moon Smoking

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 So the maximum water level is $ \boxed{25} $, and it first occurs approximately $ \boxed{0.54} $ months after the start of the year, or around early January.

📌 Question: A disaster response team models the periodic power grid stability using the function $ p(t) = 9\cos\left(\frac{\pi}{12}t\right) + 12\sin\left(\frac{\pi}{12}t\right) $. What is the amplitude and the phase shift $ \phi $ in the equivalent form $ R\cos\left(\frac{\pi}{12}t - \phi\right) $?

📌 We compute the amplitude:

📌 R = \sqrt{9^2 + 12^2} = \sqrt{81 + 144} = \sqrt{225} = 15

📌 To find the phase shift:

📌 \tan\phi = \frac{12}{9} = \frac{4}{3} \Rightarrow \phi = \arctan\left(\frac{4}{3}\right) \approx 0.9273 \text{ radians}

📌 So the function can be written as:

📌 p(t) = 15\cos\left(\frac{\pi}{12}t - 0.9273\right)

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#### #### 13
Question 11:
In a sequence where the first term is 3 and the common difference is 4...
Solution 11:
First term \( a = 3 \), common difference \( d = 4 \), number of terms...
Sum of an arithmetic sequence:
S_n = \frac{n}{2} \left(2a + (n-1)d\right)
S_{15} = \frac{15}{2} \left(2 \times 3 + 14 \times 4\right) = \frac{15...
#### #### 465
Question 12:

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