A guy wire is a cable used to restrain objects from moving. They are used to support towers or poles. A guy wire is attached to a cell tower. The 45-foot long guy wire is attached to a tower such that the angle formed by the ground and the wire measures 32°. The guy wire is replaced by a guy wire 100 feet long. The point at which the new guy wire attaches to the tower is the same as it was with the original wire.

What is the approximate measure of the angle formed by this new guy wire and the ground?

1.2°

5.4°

13.8°

27.5°

The weight of an object in a particular scale is 175.2 lbs. the measured weight may vary from the actual weight by at most 0.1 lbs. what is the range of actual weights of the object

Data are collected to see how many ice-cream cones are sold at a ballpark in a week. day 1 is sunday and day 7 is the following saturday. use the data from the table to create a scatter plot.

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