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drury inn & suites columbus dublin dublin oh - AssociationVoting

📅 May 17, 2026 👤 scraface

May 17, 2026

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📌 Lösung: Diese Folge ist eine arithmetische Progression mit dem ersten Glied \(a_1 = 2\), der gemeinsamen Differenz \(d = 3\) und dem letzten Glied \(a_n = 200\). Das \(n\)-te Glied einer arithmetischen Progression ist gegeben durch \(a_n = a_1 + (n - 1)d\). Einsetzen der bekannten Werte: \(200 = 2 + (n - 1) \times 3\). Einfach lösen: \(200 - 2 = (n - 1) \times 3 \Rightarrow 198 = 3(n - 1) \Rightarrow n - 1 = 66 \Rightarrow n = 67\). Daher gibt es \(\boxed{67}\) Zahlen in der Liste.

📌 Frage: Was ist die Summe aller Werte von \(b\), für die \(\sqrt{(b-3)^2} = 7\) gilt?

📌 Lösung: Die Gleichung \(\sqrt{(b-3)^2} = 7\) vereinfacht sich zu \(|b - 3| = 7\). Diese Betragsgleichung ergibt zwei Fälle: \(b - 3 = 7\) und \(b - 3 = -7\). Lösung jedes Falls: \(b = 7 + 3 = 10\) und \(b = -7 + 3 = -4\). Die Summe aller Lösungen ist \(10 + (-4) = 6\). Daher ist die Summe aller Werte von \(b\) gleich \(\boxed{6}\).1. **مستطيل طوله ضعف عرضه. إذا كان محيط المستطيل 36 وحدة، فما مساحة المستطيل؟

📌 لنفترض أن العرض هو \( w \). إذن، الطول هو \( 2w \).

📌 2(\text{الطول} + \text{العرض}) = 36

📌 2(2w + w) = 36

📌 بحل المعادلة لإيجاد \( w \):

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