Lexie wanted to have a heel-toe race with her older brother, josh, and her sister, hannah. she said, "my feet are smaller, so i should only have to go a shorter distance than you two." her sister said, "that makes sense- let's race our ages." they measured off 7 feet for lexie's track, 16 feet for josh's track and 10 feet for hannah's track."now let's, measure our shoes," said shoes. "my shoe is 1/2 of a foot, said lexie. three of my shoes add up to 2 feet. said, hannah. josh said his shoe was exactly a foot long.

The angles below are supplementary. what is the value of x? a pair of supplementary angles is shown. one angle measures 7x + 33, and the other angle measures 70. 5.3 8.14 11 14.7

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

The size of a certain cell is 2.5*10^-9m. another cell is 1.5*10^3 times larger. how large is the larger cell in scientific notation?