Tim the cat was trying to chase Gerie the mouse and while chasing he fell into an oil drum, due to oily feet he took three steps forward and two steps backward, each forward step is 30 cm while each backward step is 40 cm. Watching Tim doing such stunts Gerie stopped at a distance of 100 cm away from him. How many steps should Tim take to catch Gerie?​

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Acircus act has 3 times as many elephants as acrobats. jorge noticed that all together there were 56 legs in the circus ring. how many elephants were in the show?

Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30