Jose is a child living in argentina, where spring begins in september and ends in december. because he sees the days getting longer in these months, he makes a conjecture that the days are getting longer all over the world. show that jose’s conjecture is false by writing a counterexample.

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?

Luis has a cooler filled with cans of soda. for every 5 cans of coke there are 3 cans of sprite. if there are 25 cans of coke, how mant cans of sprite are there?

How would you describe the difference between the graphs of f(x) = 2x2 and g(x) = -2x2?