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📰 \]Question: Find the vertex of the parabola modeling the growth rate of a climate-dependent species, given by $ y = -2x^2 + 8x - 5 $. 📰 Solution: The vertex form of a parabola $ y = ax^2 + bx + c $ has its vertex at $ x = -\frac{b}{2a} $. Here, $ a = -2 $, $ b = 8 $, so $ x = -\frac{8}{2(-2)} = 2 $. Substituting $ x = 2 $ into the equation: $ y = -2(2)^2 + 8(2) - 5 = -8 + 16 - 5 = 3 $. Thus, the vertex is at $ (2, 3) $. \boxed{(2, 3)} 📰 Question: Solve for $ v $ in the equation $ \frac{1}{2}mv^2 = \frac{3}{4}kT $, where $ m $ is mass, $ k $ is Boltzmann’s constant, and $ T $ is temperature, to express $ v $ in terms of $ k $, $ T $, and $ m $. 📰 Florida Man March 12 9808284 📰 Allemagne Frankfurt 4561698 📰 Unlock The Ultimate Bloons Tower Defense 2 Strategy Youll Want To Master Now 5093121 📰 Pinched Nerve In Shoulder 563916 📰 Fac Share Price 6834766 📰 Best Home Ice Maker 6795948 📰 5 Gaia App Review 7 Game Changing Features That Will Transform Your Life Instantly 2620642 📰 Twisted Trompo 243502 📰 Free Pc Games You Can Download Play Top Blockbusters Underrated Gems Now Available 7537403 📰 You Wont Believe What Just Airedmortal Kombat 2 Trailer Shatters Expectations 3101370 📰 Barry Allen Actor 4404777 📰 Master Resetting Your Laptop Like A Prono Tech Skills Required 5684872 📰 Compute Age In Excel 4132632 📰 The Cast That Reveals Fire When Legends Forge Steel In Winter 5679165 📰 Florida Resident Ticket To Disney 9597973