tHE PALM FOUNTAIN at the pointe in Dubai is the largest fountain in the world, it comes alive daily with shows taking place every 20 minutes. The fountain at the Burj Khalifa also comes to live every 30 minutes. To celebrate the 50 th National day both the fountains started the show at the same time and continued for 180 minutes . How many times both the fountains will shoot up together at the same time?

How to determine whether two known pairs of points are on the same line.

Write the expression as a constant , a single trigonometric function, or a power of a trigonometric function. sin x cos x/ tan x

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