This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
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Hey NEUTRAL, good to see you again. QUESTION 4 The food starts at 25^ C and cools at 6^ C per hour until it reaches the freezer temperature of -8^ C. First, calculate the time it takes for the food to reach the freezer temperature: Step 1: Calculate the total temperature drop required to reach -8^ C. Temperature drop = 25^ C - (-8^ C) = 25^ C + 8^ C = 33^ C Step 2: Calculate the time needed to achieve this drop. Time to reach freezer temp = (33^ C)/(6^ C/hour) = 5.5 hours Since the food cannot cool below the freezer temperature of -8^ C, if the given time is greater than 5.5 hours, the temperature will be -8^ C. a) 10 hours Step 3: Compare the given time to the time needed to reach freezer temperature. Since 10 hours > 5.5 hours, the food will have already reached the freezer temperature. The temperature of the food after 10 hours will be -8^ C. b) 7 hours Step 4: Compare the given time to the time needed to reach freezer temperature. Since 7 hours > 5.5 hours, the food will have already reached the freezer temperature. The temperature of the food after 7 hours will be -8^ C. QUESTION 5 a) After a dry season, the river level is -3 metres. How many metres would the river need to rise to reach flood level? Step 1: Assume flood level is 0 metres. Calculate the difference. Rise needed = 0 m - (-3 m) = 0 + 3 = 3 m b) If the level rose from -3 m to -2 m, how much did it rise? Step 1: Calculate the difference between the final and initial levels. Rise = -2 m - (-3 m) = -2 + 3 = 1 m c) In the rainy season, the level rose from -2 m to 1.5 m. By how much did it rise? Step 1: Calculate the difference between the final and initial levels. Rise = 1.5 m - (-2 m) = 1.5 + 2 = 3.5 m d) When some of the water had drained away, the depth fell from 1.5 m to -0.6 m. By how many metres had it fallen? Step 1: Calculate the difference between the initial and final levels to find the fall. Fall = 1.5 m - (-0.6 m) = 1.5 + 0.6 = 2.1 m Send me the next one 📸