Abag contains 50 marbles, 10 of which are blue, 8 are red, 20 are green, and 12 are purple. marcie takes a marble out of the bag, records the color, and returns it to the bag. how many red marbles should she expect after 500 trials?

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The dash figure is a dilation if the original figure. find the scale factor. classify the dilation as an enlargement or a reduction

If set d is not the empty set but is a subset of set e, then which of the following is true? d ∩ e = d d ∩ e = e d ∩ e = ∅

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?