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If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 49 minutes, then Torricelli's Law gives the volume of water remaining in the tank after minutes as V=4500(1-(t/49))^2.
Find the rate at which the water is draining from the tank after 5 minutes, 12 minutes, and 20 minutes.
A dam is inclined at an angle of 30° from the vertical and has the shape of an isosceles trapezoid 120 ft wide at the top and 60 ft wide at the bottom and with legs of length 80 ft. Find the hydrostatic force on the dam when it is full of water.
Prove that any two universal (initial) objects in a category C are equivalent. Prove that any two couniversal (terminal) objects in a category C are equivalent.
Linear equations provide information on how quickly data are rising or falling, known as the slope of the equation. Find a real-world application of a linear equation and discuss the meaning of the equation.
Identify the shape of these curves for the function below, where c and r are positive constants.
At a certain rate of simple interest $1,000 will accumulate to $1110 after a certain period of time. Find the accumulated value of $500 at a rate of simple interest three fourths as great over twice as long a period of time.
A club has 28 members, and 6 members must be selected to make a committee. Of the 28 members, 15 are men and the rest are women. How many ways can the 6 member committee can be selected if there are to be 4 men and 2 women on the committee?
If we are conducting a hypothesis test of a single proportion to determine if the proportion of late arrivals has increased: What is the value of the calculated test statistic?
Write a goal equation that represents the fluctuations in the production level from May to June, June to July, and July to August.
The altitude of a triangle is increasing at a rate of 2500 centimeters/minute while the area of the triangle is increasing at a rate of 1000 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 7500 cen..
Write the definitions of the properties, reflexive, antisymmetric and transitive and the use the definitions to determine whether each property holds for this relation.
In this module's discussion, find the slope of an object either where you live, where you work, or outside somewhere. Examples might include a ladder positioned against a wall or against a house, a banister on a set of stairs, a slide in a park, e..
Find the predictive value of a positive test.
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