question: 3. The Big Pot of Soup. As part of his summer job at a restaurant, Jim learned to cook up a big pot of soup late at night, just before closing time, so that there would be plenty of soup to feed customers the next day. He also found out that, while refrigeration was essential to preserve the soup overnight, the soup was too hot to be put directly into the fridge when it was ready. (The soup had just boiled at 100 degrees C, and the fridge was not powerful enough to accommodate a big pot of soup if it was any warmer than 20 degrees C). Jim discovered that by cooling the pot in a sink full of cold water, (kept running, so that its temperature was roughly constant at 5 degrees C) and stirring occasionally, he could bring the temperature of the soup to 60 degrees C in ten minutes. How long before closing time should the soup be ready so that Jim could put it in the fridge and leave on time? answer key: 3. t = 33.77 mins

A tortoise challenged a hare to a 100-meter race on a track. The tortoise negotiated a 50-meter head start with the hare. When the race started the hare was running at a constant speed of 2.8 meters per second and the tortoise was crawling at a speed of 0.5 meters per second. (They both maintained these speeds for the entire race.)   Our goal is to determine who won the race. Read the above problem statement again, then explain in writing on a sheet of paper how you will determine who won the race. Construct a drawing to represent the 100-meter length of the track. Then place the tortoise and hare's starting points on the track. Define the variable t to represent the number of seconds since the start of the race. Write an expression to represent the Tortoise's distance from the starting line in terms of t.    Represent the Hare's distance from the starting line in terms of t.      Write a formula to represent the distance, d (in meters), that the tortoise is ahead of the hare in…

A botanist wants to determine if a fertilizer is effective in Which of the following is a valid conclusion? the growth of plants. He randomly selects 100 of the same type of seedling and randomly assigns them to two groups: one that uses the fertilizer, and one that does not. He makes sure the plants all have the same amount of water, soil, and light for two months. At the end of two months, he measures the heights of the plants and finds that the ones receiving the fertilizer are O Inferences can be made for all plants, and the conclusion can be drawn that the fertilizer will help all plants grow taller. O Inferences cannot be made for all plants, and the conclusion cannot be drawn that the fertilizer will help these plants grow taller. Inferences can be made for these types of plants, significantly taller. and the conclusion can be drawn that the fertilizer will help these types of plants grow taller. Inferences cannot be made for these types of plants, 29 and the conclusion cannot…

A patient who has seasonal allergies has developed bronchitis and is finding it difficult to breathe. She comes into your pharmacy with the following prescription for prednisone (to aid in reducing the inflammation in her lungs): 5 tablets daily for 5 days, then 4 tablets daily for 5 days, then 3 tablets daily for 5 days, then 2 tablets daily for 5 days, then finally 1 tablet daily for 6 days. All tablets have exactly the same strength (each tablet is 20mg in strength). Provide an answer based on the assumption that the patient does not miss any doses. How many tablets will be needed to fill the prescription completely?    How much (in mg) in total will this bottle contain if dispensed with the correct total amount of tablets?