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Home » This One Trick Changed Everything—Mystery Inc. Solves the Decades-Old Crime! - Dachbleche24

This One Trick Changed Everything—Mystery Inc. Solves the Decades-Old Crime! - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 #### 12.5 km

📌 A photon has energy given by E = hf, where h = 6.63 × 10⁻³⁴ J·s and f = 5 × 10¹⁴ Hz. What is the energy of the photon in joules?

📌 E = (6.63 × 10⁻³⁴) × (5 × 10¹⁴) = 3.315 × 10⁻¹⁹ J.

📌 #### 3.315 × 10⁻¹⁹ J**Question:

📌 A technology consultant is analyzing the efficiency of a new digital workflow. The cost function for implementing this workflow is given by \( C(x) = 3x^2 - 12x + k \). The consultant finds that the minimum cost occurs at \( x = 2 \). Determine the value of \( k \) such that the minimum cost is zero.

📌 To find the value of \( k \) such that the minimum cost is zero, we first determine the cost at \( x = 2 \) since that is where the minimum occurs. The cost function is:

📌 C(x) = 3x^2 - 12x + k

📌 Substitute \( x = 2 \) into the cost function:

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