Let W be the subspace in R3 consisting of all solutions to the system x + 2y + 3z = 0 2x + 4y + 6z = 0 Find the projection of v = 2 4 1 1 1 3 5 onto W.

The triangles are similar. what is the value of x? show your work.

Acompany made a profit of 75000 over a period of 6 years on an initial investment of 15000 what is the annual roi

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?