A scientist is studying the relationship of two quantities S and T
in an experiment. The scientist finds that under certain conditions, as the quantity of S
increases, the quantity of T
decreases. After taking measurements, the scientist determines that the rate of change of the quantity of S
with respect to the quantity of T
present is inversely proportional to the natural logarithm of the quantity of T
. Which of the following is a differential equation that could describe this relationship?

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a.what is the independent and dependent variables? b.find the amplitude and the period of the function. c.create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.

What is the radius of a circle with an area of 78.5 cubic inches? use 3.14 for pie

Which rule describes the composition of transformations that maps ajkl to aj"k"l"? ro. 900 o to, -2(x, y) to, -20 ro, 900(x, y) ro, 9000 t-2. o(x,y) t-2, 00 ro, 900(x, y)