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A rectangular spillway valve is meant to open if the water in the reservoir reaches a level 2 meters from the top of the reservoir. The valve is activated by pressure alone. The valve is 25 cm on each side. The valve can withstand an average pressure of 1000 N/cm2. At what depth should the valve be placed below the top of the reservoir?
Sam can chose among 3 flavors of ice cream, 2 toppings and 3 types of candy for his ice cream sundae. How many disserent sundaes are possible?
For the following set, which number has the largest absolute value?
The one-to-one functions
Correlation between competence Scores and Internal Scores
An airplane is flying in still air with an airspeed of 475 miles per hour. If it is climbing at an angle of 25°, find the rate at which it is gaining altitude. (Round answer to four decimal places.)
Among U.S. cities with a population of more than 250,000 the mean one-way commute to work is 24.3 minutes. The longest one-way travel time is New York City, where the mean time is 37.9 minutes.
A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. Find the standard deviation of the data summarized in the given frequency distribution.
in 1990, 1 dollar equalled 125 yen. In 2010, 1 dollar equalled 80 yen. At this rate, how many yen will the dollar equal in 2015?
Service station cars arive randomly at a rate of 1 car every 30 min. the average time to change oil on a car is 20 min. both the time between arrivals and service time can be modeled using the negative exponential Poisson distribution.
The cost (in dollars) of producing x yards of a certain fabric for wedding dressess is C(x)=1200+12x-.1x^2+.0005x^3. the company finds that id it sells x yards of fabric
Using the method of separation of variables, solve the partial differential equation u subscript(tt)+2(pi)u subscript(t)-u subscript(xx)=-3sin(3(pi)x) for 0 less than or equal to x less than or equal to 1 with boundary conditions
Let T(n) denote an equilateral triangular board with side length of 2^n units, subdivided into 4^n equilateral triangles with side length of one unit each. A trapezoidal tile (or triangular triomino) is a tile consisting of 3 adjacent equilater..
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