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the inn of the five graces - RoadRUNNER Motorcycle Touring & Travel Magazine

📅 May 1, 2026 👤 scraface

May 01, 2026

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📌 \(a_3 = 2a_2 + 3 = 2(5) + 3 = 10 + 3 = 13\)

📌 \(a_4 = 2a_3 + 3 = 2(13) + 3 = 26 + 3 = 29\)

📌 Therefore, the value of \(a_4\) is:

📌 Question:** In a futuristic navigation system, the position of a spacecraft is given by the expressions \(x(t) = 5t^2 + 3t + 2\) and \(y(t) = 2t^2 + 7t + 1\). Find the value of \(t\) when the spacecraft is at the point where \(x(t) = y(t)\).

📌 To find when \(x(t) = y(t)\), set the expressions equal:

📌 5t^2 + 3t + 2 = 2t^2 + 7t + 1

📌 Subtract \(2t^2 + 7t + 1\) from both sides:

📌 5t^2 + 3t + 2 - 2t^2 - 7t - 1 = 0

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Summer weekly: 2.4 × 5 = <<2.4*5=12>>12 miles.
Difference per week: 12 – 4 = <<12-4=8>>8 miles.
Over 4 weeks: 8 × 4 = <<8*4=32>>32 miles.
Two trained researchers analyzed dietary data over several months. Dr....
Dr. Kim: 140 + (0.75 × 140) = 140 + 105 = <<140+105=245>>245.
Dr. Patel: 245 – (0.20 × 245) = 245 × 0.8 = <<245*0.8=196>>196.
Total = 140 + 245 + 196 = <<140+245+196=581>>581.
#### 581
Armand, Ella, and Amber spent 15 hours collaborating on a study. Amber...
Let Ella = *x*.

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