Use Newton’s Law of Cooling, T2=T0+(T1-T0)e^-kt, where T0= Temperature of the surrounding area, T1= initial coffee temperature, k=a constant that depends on the material properties of the object and t = change in time in minutes, to solve the following problem. Alex likes his coffee at a temperature of 135 F. if he pours a cup of 170 F coffee in a 72 F room and waits 5 minutes before drinking, will his coffee be too hot or too cold? Explain for Alex's cup k=0.34

You are constructing a histogram for scores that range from 70 to 100 in whole points. frequencies range from 3 to 10; that is, every whole-point score between 60 and 100 occurs at least 3 times, and at least one score occurs 10 times. which of these would probably be the best range and size for the score intervals along the x-axis?

Quick! a survey of 57 customers was taken at a bookstore regarding the types of books purchased. the survey found that 33 customers purchased mysteries, 25 purchased science fiction, 18 purchased romance novels, 12 purchased mysteries and science fiction, 9 purchased mysteries and romance novels, 6 purchased science fiction and romance novels, and 2 purchased all three types of books. a) how many of the customers surveyed purchased only mysteries? b) how many purchased mysteries and science fiction, but not romance novels? c) how many purchased mysteries or science fiction? d) how many purchased mysteries or science fiction, but not romance novels? e) how many purchased exactly two types of books?

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