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Home » Cost for SUVs: \(2 \text SUVs \times 3 \text days \times \$35/\textday = \$210\) - Silent Sales Machine

Cost for SUVs: \(2 \text SUVs \times 3 \text days \times \$35/\textday = \$210\) - Silent Sales Machine

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 Find the sum of the first 8 terms of the arithmetic sequence where the first term is 5 and the common difference is 3.

📌 The sum \(S_n\) of the first \(n\) terms of an arithmetic sequence is given by \(S_n = \frac{n}{2} (2a + (n-1)d)\). Here, \(n = 8\), \(a = 5\), and \(d = 3\).

📌 S_8 = \frac{8}{2} (2 \times 5 + 7 \times 3) = 4 \times (10 + 21) = 4 \times 31 = 124

📌 A rocket travels at a speed of 7,800 meters per second. How long will it take to travel 1,000 kilometers?

📌 Convert 1,000 kilometers to meters: \(1,000 \times 1,000 = 1,000,000\) meters. The time taken is \(\frac{1,000,000}{7,800} \approx 128.21\) seconds.

📌 #### 128.21

📌 The area of a triangle is 45 square units, and its base is 9 units. What is the height of the triangle?

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A high school chemistry student is preparing a solution by mixing 150...
Find total moles:
\( \text{Moles from first} = 0.150 \, \text{L} \times 0.6 \, \text{mol...
\( \text{Moles from second} = 0.250 \, \text{L} \times 0.4 = 0.10 \, \...
Total moles = \(0.09 + 0.10 = 0.19 \, \text{mol}\)
Total volume = \(150 + 250 = 400 \, \text{mL} = 0.400 \, \text{L}\)
Molarity = \( \frac{0.19}{0.400} = 0.475 \, \text{M} \)
#### 0.475
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