suppose a cup of hot cocoa cooled from 90 degrees Celsius to 60 degrees Celsius after 10 minutes in a room whose temperature was 20 degrees celsius. use newton's law of cooling to find how much longer it will take for the cocoa to cool to 35 degrees celsius

A Moving to another question will save this response. Question 5 I have a large pot containing 6 liters of soup broth If I divide the soup broth into 3°lg liters for vegetable soup and 1°/g liters for beef soup, find the leftover liters of soup broth. A Moving to another question will save this response.

A museum contains a large pendulum. Due to air resistance and friction, each swing of the pendulum is a little shorter than the previous one. Suppose the first swing of the pendulum has a length of 25,000 mm and each return swing loses 4% of its length until eventually the pendulum comes to a complete stop. Answer parts A, B, C, and D and if necessary, round to the nearest tenth of a millimeter. A. Let 'n' be defined as the number of swings the pendulum travels. Define 'a1' and 'r' (these are used in the explicit formula.) Write a geometric sequence in summation (Sigma) notation to express the total distance that the pendulum will have traveled after 30 swings. Sigma notation will have a lower limit, an upper limit, and an explicit formula. Do not compute the sum. B. Use the summation formula to find the total distance the pendulum swings. C. Using information from part A, write a geometric series in summation (Sigma) notation to express the total distance that the pendulum will have…