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Home » 🔥 HOUSE OF PAYNE SEASON 13: THE SHOCKING TWIST NO ONE Saw Coming! - High Altitude Science

🔥 HOUSE OF PAYNE SEASON 13: THE SHOCKING TWIST NO ONE Saw Coming! - High Altitude Science

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 P(A \cap B) = P(A) \times P(B) = 0.4 \times 0.5 = 0.2

📌 #### #### 0.2

📌 Question 13:

📌 If \( x^3 - 7x^2 + 14x - 8 = 0 \) has a root at \( x = 1 \), find the other roots.

📌 Solution 13:

📌 Use synthetic division for \( x = 1 \):

📌 | 1 -7 14 -8

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Solution: We are partitioning $6$ distinguishable objects (proposals)...
We compute $S(6,3)$ using recurrence:
$S(6,3) = 3 \cdot S(5,3) + S(5,2)$
Now compute $S(5,2) = 2 \cdot S(4,2) + S(4,1) = 2 \cdot 7 + 1 = 14 + 1...
S(6,3) = 3 \cdot 25 + 15 = 75 + 15 = 90
Thus, the number of ways is $\boxed{90}$.**Question:
Find the length of the shortest altitude in a triangle with sides meas...
First, we calculate the area \( A \) of the triangle using Heron's for...
A = \sqrt{s(s-13)(s-14)(s-15)} = \sqrt{21 \times 8 \times 7 \times 6}
The altitudes \( h_a \), \( h_b \), and \( h_c \) corresponding to sid...

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