Deer ticks can be carriers of either lyme disease or human granulocytic ehrlichiosis (hge). based on a recent study, suppose that of all ticks in a certain location carry lyme disease, carry hge, and of the ticks that carry at least one of these diseases in fact carry both of them. if a randomly selected tick is found to have carried hge, what is the probability that the selected tick is also a carrier of lyme disease?

What is f(3) for the quadratic functionf(x)=2x2 + x – 12? f -3g 3h 6i. 9

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

17 in long 1.3 ft wide and 8in high what is the volume