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Home » \[ r^2 = rac144\pi4\pi \] - Get link 4share

\[ r^2 = rac144\pi4\pi \] - Get link 4share

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Thus, the sum of the first five terms is \(\boxed{160}\).

📌 Question:** A middle school student is exploring functions and their compositions. If \(f(x) = 3x - 2\) and \(g(x) = x^2 + 1\), what is \(g(f(4))\)?

📌 First, evaluate \(f(4)\):

📌 f(4) = 3(4) - 2 = 12 - 2 = 10.

📌 Next, substitute this result into \(g(x)\):

📌 g(f(4)) = g(10) = 10^2 + 1 = 100 + 1 = 101.

📌 Thus, the value of \(g(f(4))\) is \(\boxed{101}\).

📌 Question:** A chemical engineer is modeling biofuel yield based on reactant concentrations. If the yield \(Y\) is given by \(Y = 4x^2 - 12x + 9\), compute the minimum possible yield and the value of \(x\) at which it occurs.

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#### 19.2Question: A civil engineer is designing a stormwater manageme...
Solution: To determine the probability that the product of three rando...
\frac{80}{101}
Since the choices are independent, the probability that all three sele...
\left( \frac{80}{101} \right)^3
Therefore, the probability that **at least one** of the three integers...
- \left( \frac{80}{101} \right)^3
Compute the value:
\left( \frac{80}{101} \right)^3 = \frac{512000}{1030301}
- \frac{512000}{1030301} = \frac{518301}{1030301}

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