Two trains depart the station traveling in different directions. Their paths are at a 90-degree angle from one another, as shown in the
following illustration.
train 1
train 2
Train 1 leaves the station traveling at 50 mph. Train 2 leaves the station one hour later traveling at 75 mph. Assut ning that t represents
the time that train 1 has been in route, which of the following inequalities can be used to calculate the values of t for which the distance
between the trains is greater than or equal to 100 miles?
1962 11 90 15695
100

The zoo collects $9.60 for every 24 tickets sold. how much will be collected for 400 tickets?

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?

Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false. 1^2 + 4^2 + 7^2 + + (3n - 2)^2 = [n(6n^2-3n-1)/2]