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 135f. if he pours a cup of 170f coffee in a 72f room and waits 5 minutes before drinking, will his coffee be too hot or too cold? explain. for alex’s cup, .k=0.34

Students buying lunch at rockwell elementary school yesterday chose either burritos or pizza. 185 students chose burritos and 252 chose pizza. 1. estimate the number of students who brought lunch by rounding each number to the nearest hundred. 2. estimate how many students bought lunch by rounding each number to the nearest ten. 3. find the total number of students who brought lunch. which of your estimates is closer to the actual total? explain. 4. draw a figure on a sheet of paper. estimate how many pennies will fit inside the figure. check your prediction using pennies.

In the following situation, determine whether you are asked to determine the number of permutations or combinations. then do the calculation how many ways are there to pick a starting five from a basketball team of twelve members? a. permutation; ps - 2520 b. combination; 1c, - 792 c. combination: 2cs - 2520 d. permutation; ps - 95040

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126