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Home » E_1^3 + E_2^3 = (E_1 + E_2)^3 - 3E_1E_2(E_1 + E_2) - Nelissen Grade advocaten

E_1^3 + E_2^3 = (E_1 + E_2)^3 - 3E_1E_2(E_1 + E_2) - Nelissen Grade advocaten

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 \[ 100 - d^2 = 48 \Rightarrow d^2 = 52. \]

📌 But we are asked for the third term, which is \( a = 10 \).

📌 \[\boxed{10}.\]1. A science educator is organizing a hands-on chemistry activity involving titration. She needs 0.5 liters of 0.2 M hydrochloric acid for each of 8 student groups. If she has a 2-liter stock solution of 1.0 M HCl, how many liters of water must she add to dilute the stock solution sufficiently for all groups?

📌 Each group requires 0.5 L × 0.2 mol/L = <<0.5*0.2=0.1>>0.1 moles of HCl.

📌 Total moles needed = 0.1 mol/group × 8 groups = <<0.1*8=0.8>>0.8 moles.

📌 From a 1.0 M stock, volume needed = 0.8 mol / 1.0 M = <<0.8/1=0.8>>0.8 liters.

📌 Since she starts with 2.0 L and needs only 0.8 L of solution, she must add 2.0 L − 0.8 L = <<2.0-0.8=1.2>>1.2 liters of water.

📌 A research assistant is preparing a solution for a proteomics assay. She combines 300 mL of a 0.6 M NaCl solution with 700 mL of a 0.1 M NaCl solution. What is the final concentration of the mixed solution in millimolar (mM)?

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