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An oil storage tank ruptures at time t = 0 and leaks oil at a rate of r(t) = 100e-0.01t liters per minute. How much oil leaks out during the first hour?
If t denotes the time in years after 1980, find a formula for N(t), the population in millions at time t. Assuming that this rapid growth rate continues, estimate the population and the rate of population growth in the year 2000.
one soccer field is an rectangle 375 feet long and 230 feet wide what is the area and perimeter of it. but what if the area of the soccer field in square yard? What is the perimeter in yards?
Describe (in words) two different sets of people containing you as a member. Describe (in words) the complement of each set. Describe what people are not in either the original set or the complement set.
Use Newton's Law of Cooling in the following example. A thermometer reading 72 degrees Fahrenheit is placed into a refrigerator where the temperature is a constant 38 degrees Fahrenheit.
Statistics: Populations, Samples, Parameters and Assessing the Mean. The average time before hittin a jackpot at the local casino was estimated by using the average time that it took the first 100 players. Based on this information identify.
Got the 1st derivative to be Y'= 1/4 (1+1/x)^-3/4 * (-1x)^-2 Is that correct?
a plane travels 470 mi 340 mi against the wind. wind speed is 26mph. what is the distance traveled in still air?
If x is an element of a group and x is of order n then the elements 1, x, x^2,...x^n-1 are distinct (don't know how to show this!). Let Y= Y here is a group show
find the exact solutions of the equation in the interval [0, 2π).
Find the number of invertible elements in Z2000.
a train travels 190km in the same time a plane travels 665km.if the speed of the plane is 40km per hour less than 4 times the speed of the train, what are both speeds?
A wooden artifact from an ancient tomb contains 45 percent of the carbon-14 that is present in living trees. How long age was the artifact made? (The half-life of carbon-14 is 5730 years.)
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