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Home » "Shocking! The Internal Temp of Salmon Could Determine If It’s Safe to Eat! - Upplift

"Shocking! The Internal Temp of Salmon Could Determine If It’s Safe to Eat! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 $a + 3b = 5$

📌 $2a + 4b = 6$

📌 $c + 3d = 7$

📌 $2c + 4d = 8$.

📌 Solving equations 1 and 2: From 1, $a = 5 - 3b$. Substitute into 2: $2(5 - 3b) + 4b = 6 \Rightarrow 10 - 6b + 4b = 6 \Rightarrow -2b = -4 \Rightarrow b = 2$, then $a = 5 - 6 = -1$.

📌 Solving equations 3 and 4: From 3, $c = 7 - 3d$. Substitute into 4: $2(7 - 3d) + 4d = 8 \Rightarrow 14 - 6d + 4d = 8 \Rightarrow -2d = -6 \Rightarrow d = 3$, then $c = 7 - 9 = -2$.

📌 Thus, $\mathbf{M} = \begin{pmatrix} -1 & 2 \\ -2 & 3 \end{pmatrix}$. Final answer: $\boxed{\begin{pmatrix} -1 & 2 \\ -2 & 3 \end{pmatrix}}$.

📌 Question: Find all angles $z \in [0^\circ, 360^\circ]$ that satisfy $2\sin(2z) = \sqrt{3}$.

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ä½ç© \(V\) ã¯æ¬¡ã®å¼ã§æ±ãããã¾ã:
V = \pi imes 3^2 imes 10 = 90\pi \quad ext{ç«æ¹ã¡ã¼ãã«}
A = 2\pi r (r + h)
A = 2\pi imes 3 imes (3 + 10) = 2\pi imes 3 imes 13 = 78\pi \quad...
#### \(90\pi\) ç«æ¹ã¡ã¼ãã«, \(78\pi\) å¹³æ¹ã¡ã¼ãã«
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To compute the sum \(\sum_{k=1}^{50} \frac{1}{k(k+1)}\), we can use pa...
Multiplying through by \(k(k+1)\) gives:
= A(k+1) + Bk = Ak + A + Bk
= (A + B)k + A
For the equation to hold for all \(k\), we set up the system:
A + B = 0 \quad \text{and} \quad A = 1
Solving this, we find \(A = 1\) and \(B = -1\). Thus:
Now, substitute this into the sum:
This is a telescoping series, where most terms cancel out:
After cancellation, we are left with:

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