Vanessa is standing next to a statue. Vanessa is 5 feet tall. The length Vanessa shadow is 4 feet, and the length of the statue shadow is 16 feet. What is the height of the statue?

Which of the following is the rational exponent expression of 6 root f

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

Solve the following inequalities and show the solution on a number line. 2x+3< 3(4x+5)