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Keith is driving to Boston. Suppose that the remaining distance to drive (in miles) is a linear function of his driving time (in minutes). When graphed, the function gives a line with a slope of . See the figure below.
Keith has miles remaining after minutes of driving. How many miles will be remaining after minutes of driving?
Please show steps and give explanation so I can know how to do the other problems. I am mostly confused how to split up the number into manageable numbers that I know the specific value for. Like 30 degrees or 40 degrees.
Standing at a crosswalk, you hear a frequency of 570 Hz from the siren of an approaching ambulance. After the ambulance passes, the observed frequency of the siren is 488 Hz. Determine the ambulance's speed from these observations.
At that instant L and W are increasing at a rate of 10 m/s while H is decreasing at a rate of 1 m/s. Find the rate at which the surface area S is changing at that instant.
Consider an annuity-immediate with monthly payments for twenty years. The payments are level in the course of each year, then increase by 2% for the next year. Find the present value of this annuity if the initial payment is $1, 000 and i = 4%.
For speeds between 40 and 65 mph, a truck gets 480/x miles per gallon when driven at a constant speed of x miles per hour. Diesel gasoline costs 2.23 per gallon, and the driver is paid 15.10 per hour.
Mayall Corporation is developing standards for its products. Each unit of output of the product requires 0.92 kilogram of a particular input. The allowance for waste and spoilage is 0.02 kilogram of this input for each unit of output.
Probability Theory Applied to House Sales. The probability that house sales will increase over the next six months is estimated at .25. It is also estimated that the probability is .74 that 30 year fixed-loan mortgage rates
Between 12:00 Pm and 1:00 PM, Cars arrive at Citibank's drive-thru at the rate of 6 cars per hour. (0.1 car per minute) The following formula from statistics can be used to determine that a car will arrive within t minutes of 12:00 PM.
Use residues to evaluate the improper integral from 0 to infinity: Use Jordan's Inequality to evaluate the improper integral from -infinity to infinity:
A baseball team plays in a stadium that holds 59000 spectators. With ticket prices at $10, the average attendance had been 5000. When ticket prices were lowered to $8, the average attendance rose to 15000.
Normal Approximations to Binomial Probabilities, Mathematics Study Centre was established to help students to solve mathematics and statistics problems
You can operate a train if at least 200 people buy tickets. The fare will be $8 per person if 200 people buy tickets, but will decrease 1 cent for each additional person over 200. what number of passangers will bring the railroad the maximum reven..
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