kinetic energy varies jointly with the mass and the square of the velocity. A mass of 8 grams and a velocity of 5 centimeters per second has a kinetic energy of 400 ergs. find the kinetic energy for a mass of 6 grams and a velocity of 3 centimeters per second

Arianna is buying plants for her garden. she buys 15 flowering plants for $96. pink flowering plants sell for $8, and purple flowering plants sell for $5. how many pink flowering plants did arianna buy? i figured out the answer! the answer is 7. 8x +5y = 96 plug in 7 for x 8 (7) + 5y = 96 56 + 5y = 96 subtract 56 from both sides 5y/y = 40/5 y = 8 she bought 7 pink and 8 purple plants

Use the squared identities to simplify sin^2x cos^2x

Given the equation    = 5, solve for x and identify if it is an extraneous solution