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A rectangle made of square tiles measures 10 tiles long and 8 tiles wide. What is the width of a similar rectangle whose length is 15 tiles?
Suppose the supply and price for a prescription are related by P=.0015q +1 where p is the price in dollars of a 30 day prescribtion if the demand is related to price by P= 0025q + 64.36. What is the equilibrium quantity and price.
Let V be an n-dimensional vector space over F. What is the characteristic polynomial of the Identity operator on V? What is the characteristic polynomial for the zero operator?
A baseball team plays in a stadium that holds 60,000 spectators. With the ticket price at $10, the average attendance at recent games has been 33,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increase..
The engine in Paul's weed whacker uses an oil-gas mixture
the fence around a rectangular piece of property is 156 m long. if the area of the property is 1505 meters squared, find the dimensions of the property.
The theorem stated below is followed by statements from its proof. For each of the numbered statements provide a short comment that explains or justifies it.
Calculate the work done if the crane lifts the ball from ground level to 26 feet in the air by drawing in the cable.
Write a short paper describing a graph or a series of graphs that would represent a real life situation or problem from your own life.
Let C be the line segment form P(1,0,2) to Q(-2,3,1), and let F be the force given by F(x,y,z)= 2zi - yj + 2xk. Find the work done by F in moving a particle along C.
Show that this theorem 1 is sharp, that is, show that for infinitely many n>=3 there are non-hamiltonian graphs G of order n such that degu+degv>=n-1 for all distinct nonadjacent u and v.
Indicate the domain and range of the inverse function. Compare the domain and range of f(x) and the inverse of f(x) what statement can be made about them?
A bowl is shaped like a hemisphere with diameter 36 cm. A ball with diameter 4 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume V of water in the bowl. Consider two cases: one in which the bal..
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