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Home » This Simple ‘O’ in Cursive Holds the Secret You’ve Been Searching For! - Upplift

This Simple ‘O’ in Cursive Holds the Secret You’ve Been Searching For! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Multiplica la segunda ecuación por 3: \( 12x - 3y = 15 \).

📌 Suma a la primera: \( 2x + 3y + 12x - 3y = 7 + 15 \).

📌 \( 14x = 22 \), por lo que \( x = \frac{22}{14} = \frac{11}{7} \).

📌 Sustituye en \( 4x - y = 5 \): \( 4 \times \frac{11}{7} - y = 5 \).

📌 \( \frac{44}{7} - y = 5 \), por lo que \( y = \frac{44}{7} - \frac{35}{7} = \frac{9}{7} \).

📌 #### \( x = \frac{11}{7}, y = \frac{9}{7} \)Certainly! Here are 10 more challenging questions along with their solutions:

📌 A cylindrical tank with a radius of 3 meters and a height of 5 meters is filled with water. If water is drained at a rate of 2 cubic meters per hour, how many hours will it take to completely empty the tank?

📌 The volume \( V \) of a cylinder is given by the formula \( V = \pi r^2 h \).

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\(\sin^2 2x\) の範囲は \([0, 1]\) です。したがって、\(\frac{1}{2} \sin...
- \frac{1}{2} \cdot 1 = \frac{1}{2}
したがって、\(\sin^4 x + \cos^4 x\) の最小値は \(\boxed{\frac{1}{2}}\)...
問題: 点 \((1, 2)\) に最も近い直線 \(y = 2x + 3\) 上の点を求めよ。
解: 直線 \(y = 2x + 3\) 上の点 \((1, 2)\) に最も近い点を見つけるには、...
点 \((1, 2)\) を通り傾き \(-\frac{1}{2}\) の直線の式は次のとおりです:
y - 2 = -\frac{1}{2}(x - 1)
y - 2 = -\frac{1}{2}x + \frac{1}{2} \implies y = -\frac{1}{2}x + \frac...
この直線と \(y = 2x + 3\) の交点を見つけるために、方程式を等しくします...
2x + 3 = -\frac{1}{2}x + \frac{5}{2}

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Fidelity after n layers: 100 × (√2)^n > 900
Divide both sides by 100: (√2)^n > 9
Take log: n × log(√2) > log(9) → n × 0.5×log(2) > log(9)
log(2) ≈ 0.3010, log(9) = log(3²) = 2×0.4771 = 0.9542
So: n × 0.1505 > 0.9542 → n > 0.9542 / 0.1505 ≈ 6.35
Thus, n = 7 (smallest integer).
A biomolecular consciousness diffraction researcher designs a protocol...
Accuracy after n iterations: 64 × (1.25)^n > 95
Divide: (1.25)^n > 95 / 64 = 1.484375
Take log: n × log(1.25) > log(1.484375)

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