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Home » #### Time when ball hits ground: \( 2 + \sqrt13 \) seconds - AMAZONAWS

#### Time when ball hits ground: \( 2 + \sqrt13 \) seconds - AMAZONAWS

📅 March 5, 2026 👤 scraface

Mar 05, 2026

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📌 The ratio of the number of apples to oranges in a basket is 5:3. If there are 40 apples, how many oranges are there?

📌 Let the number of oranges be \( x \). The ratio equation is \( \frac{40}{x} = \frac{5}{3} \).

📌 Cross-multiply: \( 5x = 3 \times 40 \).

📌 Solve for \( x \): \( 5x = 120 \).

📌 Divide by 5: \( x = 24 \).

📌 Therefore, there are 24 oranges.

📌 Find the derivative of the function \( f(x) = 3x^3 - 5x^2 + 2x - 7 \).

📌 Apply the power rule to each term:

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A company’s revenue increased by 20% in the first year and decreased b...
After first year: \( 100,000 \times 1.20 = 120,000 \)
After second year: \( 120,000 \times 0.90 = 108,000 \)
#### 108000
Two trains leave stations 400 miles apart at the same time, traveling...
Combined speed: \( 60 + 80 = 140 \) mph
Time = \( \frac{400}{140} = \frac{20}{7} \approx 2.857 \) hours → \( 2...
#### 2.857
If \( x + \frac{1}{x} = 5 \), find the value of \( x^2 + \frac{1}{x^2}...
Square both sides: \( \left(x + \frac{1}{x}\right)^2 = 25 \)

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