The number of tree species s in a given area a in the pasoh forest reserve in malaysia has been modeled by the power functions(a) = 0.882a0.842where a is measured in square meters. finds'( your answer to five decimal places.)s'(109) = /m2interpret your answer(select one statement).a. the rate of change of the number of tree species with respect to area is 45.45837 species/m2.b. the rate of change of the number of tree species with respect to area is −45.81226 species/m2. c. the rate of change of the number of tree species with respect to area is −0.35389 species/m2.d. the rate of change of the number of tree species with respect to area is 45.81226 species/m2.e. the rate of change of the number of tree species with respect to area is 0.35389 species/m2.

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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

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?