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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 $. 📰 Ernest The Movies 2351295 📰 You Wont Believe Which Nail Types Will Navigate Your Perfect Manicure Like A Pro 2776571 📰 Jacksonville Jaguars Vs Denver Broncos Match Player Stats 1986726 📰 Youll Cry After Hearing These Beautiful Beautiful Name Words By Hillsong 5934841 📰 Deer Creek Amphitheater Indiana 4361687 📰 Park Vista 4905842 📰 Light Beachy Top 5 Must Have Guest Dresses For Your Dream Coastal Wedding 4064154 📰 How To Remove Apps From Mac 1642751 📰 Unlock Fast Payments The Must Know Provider Npi You Cant Ignore 6146722 📰 Unlock Excels Secrets Name Your Range In Seconds With This Simple Hack 8105251 📰 Horizon Milks Shocking Ingredient Left Consumers Speechlesswatch What Happens Next 8317787 📰 Cath Kidston 4480647 📰 Why Everyones Talking About Ripples Bold Ipo The Truth Behind The Hype You Cant Miss 5631195 📰 Finma Ticker Explosion Why This Crypto Surprise Could Rock The Market Now 4126917 📰 This Smart Move Proves Your Enemy Is Secretly Your Best Allydont Miss It 8537257