Recall newton’s law of cooling: the temperature of an object changes at a rate directly proportional to the difference between the ambient temperature and the object itself. use newton’s law of cooling to solve the following: an initial thermometer reading 75 f is taken outside where the temperature is 20 f . it is observed that 4 minutes later, the thermometer reads 30 f . find the thermometer reading 7 minutes after it was taken outside. (note: to receive full credit, you must write down the associated differential equation and solve it)

/is used for a fraction 1) if x = 2/3 and y = 3/4, what is the value of (x + y) (x/y) expressed as a common fraction? 2) what is the least positive integer greater than 1 that leaves a remainder of 1 when divided by each of 2, 3, 4, 5, 6, 7, 8, and 9? 3) the ponde family's powerjet pumps 420 gallons of water per hour. at this rate, how many gallons of water will it pump in 45 minutes? 4) kim's insurance company pays 80% of the cost of all prescription medication she purchases in a year beyond the first $250 worth of prescriptions. her prescriptions for this year cost a total of $570. how many dollars of this amounts will kim's insurance company pay?

The radius of the earth is two times the radius of the moon. what fraction of the volume of the earth is the volume of the moon?

Aschool allots ? 1500 to spend on a trip to the theatre. theatre tickets have a regular cost of ? 55 each and are on offer for 1 5 off. a train ticket for the day will cost ? 12 each. if 2 teachers and the maximum number of students attend, how much money will the school have left over?