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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 $. 📰 Secrets Unraveled Did Rachel Mcadams Suddenly Go Nude On Camera 4644153 📰 From Lawn To Classroom How The Best Summer Schoolhouses Save Your Summer Grades 3019787 📰 Utlook Itc Ltd Share Price Explodesis This The Peak Before The Drop 8907232 📰 The Last Time I Saw Her I Didnt Know Id Never See Her Again 1242088 📰 This Fade Mohawk Style Will Turn Headsyou Wont Believe Its Eye Catching Power 6459645 📰 Tap Shoes Transform Your Stepsuddenly Everything Changes 6887 📰 Meaning Upholstered 3194716 📰 Skims Shirts 1670378 📰 Secret Yes No Tarot Reading Free Surprise Your Instincts Instantly 6090650 📰 The Real Reason Your Playlist Is Full Of Slow Heart Wrenching Romance 4571370 📰 Grading For Equity 8406496 📰 Fun Drinks For Kids 5269806 📰 How The Deadpool Face Change Everything The Ultimate Hidden Detail 6394024 📰 Firing Off Bold Moves And Jaw Dropping Heightwatch This 3D Sled Riders Epic Journey 586313 📰 Linda Gunderson 5967356