The rate of change in the number of miles of road cleared per hour by a...

  
 
 

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The rate of change in the number of miles of road cleared per hour by a snowplow with respect to the depth of the snow is inversely proportional to the depth of the snow. Given that 20 miles per hour are cleared when the depth of the snow is 2.3 inches and 13 miles per hour are cleared when the depth of the snow is 8 inches, then how many miles of road will be cleared each hour when the depth of the snow is 12 inches? (Round your answer to three decimal places.) miles each hour Submit Answer Tries 0/99 A 900-gallon tank initially contains 800 gallons of brine containing 75 pounds of dissolved salt. Brine containing 2 pounds of salt per gallon flows into the tank at the rate of 4 gallons per minute, and the well-stirred mixture flows out of the tank at the rate of 1 gallon per minute. Set up a differential equation for the amount of salt, A(t), in the tank at time t. (Use "A" for any "A(t)" needed in the equation) dA = dt Submit Answer Tries 0/99 A teen chewing bubble gum blows a huge bubble, the volume of which satisfies the differential equation: dV dt Time to pop Submit Answer Tries 0/99 = Where t is the time in seconds after the teen start to blow the bubble. If the bubble pops as soon as it reaches 324 cubic centimeters in volume, how many seconds does it take for the bubble to pop? Assume that the bubble had no volume when the teen first started blowing. = 2√V Seconds A wet towel hung on a clothesline to dry outside loses moisture at a rate proportional to its moisture content. After 1 hour, the towel has lost 23% of its original moisture content. After how long will the towel have lost 94 % of its moisture content? (Round your answer to 3 decimal places.) t Submit Answer Tries 0/99 hours The rate of change in the number of miles of road cleared per hour by a snowplow with respect to the depth of the snow is inversely proportional to the depth of the snow. Given that 20 miles per hour are cleared when the depth of the snow is 2.3 inches and 13 miles per hour are cleared when the depth of the snow is 8 inches, then how many miles of road will be cleared each hour when the depth of the snow is 12 inches? (Round your answer to three decimal places.) miles each hour Submit Answer Tries 0/99 A 900-gallon tank initially contains 800 gallons of brine containing 75 pounds of dissolved salt. Brine containing 2 pounds of salt per gallon flows into the tank at the rate of 4 gallons per minute, and the well-stirred mixture flows out of the tank at the rate of 1 gallon per minute. Set up a differential equation for the amount of salt, A(t), in the tank at time t. (Use "A" for any "A(t)" needed in the equation) dA = dt Submit Answer Tries 0/99 A teen chewing bubble gum blows a huge bubble, the volume of which satisfies the differential equation: dV dt Time to pop Submit Answer Tries 0/99 = Where t is the time in seconds after the teen start to blow the bubble. If the bubble pops as soon as it reaches 324 cubic centimeters in volume, how many seconds does it take for the bubble to pop? Assume that the bubble had no volume when the teen first started blowing. = 2√V Seconds A wet towel hung on a clothesline to dry outside loses moisture at a rate proportional to its moisture content. After 1 hour, the towel has lost 23% of its original moisture content. After how long will the towel have lost 94 % of its moisture content? (Round your answer to 3 decimal places.) t Submit Answer Tries 0/99 hours