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Home » \[ r = \frac31.46.28 = 5 \, \textmetros \] - Blask

\[ r = \frac31.46.28 = 5 \, \textmetros \] - Blask

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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Formula for \( n \)-th term: \( a_n = a_1 \times r^{n-1} \).
\( a_6 = 3 \times 2^{6-1} = 3 \times 32 = 96 \).
#### 96Question: What is the sum of all values of $ x $ for which $ \s...
Solution: The equation $ \sqrt{(x - 3)^2} = 2x - 5 $ simplifies to $ |...
$ x - 3 = 2x - 5 $ → $ -3 + 5 = 2x - x $ → $ x = 2 $.
$ -(x - 3) = 2x - 5 $ → $ -x + 3 = 2x - 5 $ → $ 3 + 5 = 3x $ → $ x = \...
Check validity: For $ x = 2 $, $ |2 - 3| = 1 $ and $ 2(2) - 5 = -1 $....
Only $ x = \frac{8}{3} $ is valid. The sum is $ \boxed{\dfrac{8}{3}} $...
Question: How many positive 3-digit numbers are divisible by 7 but not...
Solution: First, find 3-digit numbers divisible by 7: The smallest is...

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بحل المعادلة لإيجاد \( r \):
r = 5
دائرة محاطة بمربع. إذا كانت مساحة المربع 64 وحدة مربعة، فما محيط الدائ...
طول ضلع المربع هو \( \sqrt{64} = 8 \) وحدات.
يساوي قطر الدائرة المحاطة طول ضلع المربع، إذن القطر هو 8 وحدات.
نصف القطر \( r \) للدائرة هو:
r = \frac{8}{2} = 4
المحيط \( C \) يُعطى بالصيغة:
C = 2\pi r = 2\pi \times 4 = 8\pi
#### \( 8\pi \)

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