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Home » SPIDER-MAN PS5? Here’s Why 2024’s Hottest Game Is Breaking Your Budget! - Dyverse

SPIDER-MAN PS5? Here’s Why 2024’s Hottest Game Is Breaking Your Budget! - Dyverse

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Sum of roots = \( -\frac{b}{a} = 3 + 5 = 8 \).

📌 \( b = -8 \times 2 = -16 \).

📌 Product of roots = \( \frac{c}{a} = 3 \times 5 = 15 \).

📌 \( c = 15 \times 2 = 30 \).

📌 A sequence is defined by \( a_n = 3n^2 - 2n + 1 \). What is the 10th term?

📌 \( a_{10} = 3(10)^2 - 2(10) + 1 = 300 - 20 + 1 = 281 \).

📌 #### 2811. A rectangular garden has a length that is 3 times its width. If the perimeter of the garden is 64 meters, what is the width of the garden?

📌 Let the width be \( x \) meters.

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Rate of Pipe A = \( \frac{1}{4} \) of the tank per hour
Rate of Pipe B = \( \frac{1}{6} \) of the tank per hour
When both are open for 2 hours, they fill:
\[ 2 \left( \frac{1}{4} + \frac{1}{6} \right) = 2 \left( \frac{3}{12}...
Remaining tank to fill = \( 1 - \frac{5}{6} = \frac{1}{6} \)
Now, only Pipe A is open, filling at \( \frac{1}{4} \) per hour. Time...
\[ \text{Time} = \frac{\frac{1}{6}}{\frac{1}{4}} = \frac{1}{6} \times...
Total time = 2 hours + \( \frac{2}{3} \) hours = \( \frac{6}{3} + \fra...
But in decimal form: \( \frac{8}{3} \approx 2.\overline{6} \), so as a...
#### 2.67 (rounded to two decimal places)

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