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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 $. 📰 Maze Game Horror 3959218 📰 Why Growing Pains Shook Americas Tv Landscape Youll Never Look At It The Same Way 895350 📰 5 Reckon With Mega Man Man The Ultimate Power Unleashed In These Games 8286716 📰 Ready For Explosions Chaos The Demolition Derby 2 Game Is About To Blow Your Mind 2137253 📰 Unlock Flawless Sound Official Fidelity Wiring Instructions That Deliver 4191329 📰 The One Loop Optimization Trick Experts Say All Oracle Developers Try Tracked Now 3141606 📰 Clippy Microsoft 9353717 📰 Suikoden 7485064 📰 Film Out For Justice 4367448 📰 What Colour Does Yellow And Orange Make 7134231 📰 180Km To Miles 1089760 📰 Brian Winchester 9959472 📰 Acuvue Oasys Reveals The Secret To Sharp Vision With Astigmatism 4972544 📰 Yoni Meaning 3761479 📰 Unlock Hidden Secrets In Mazean Crazy Gamesyoull Regret Not Playing 7901813