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Question: TRAFFIC CONTROL The accompanying figure shows the flow of traffic near a city's Civic Center during the rush hours on a typical weekday. Each road can handle a maximum of 1000 cars/hour without causing congestion. The flow of traffic is controlled by traffic lights at each of the five intersections.
a. Set up a system of linear equations describing the traffic flow.
b. Solve the system devised in part (a) and suggest two possible traffic-flow patterns that will ensure no traffic congestion.
c. Suppose 7th Avenue between 3rd and 4th Streets is soon to be closed for road repairs. Find one possible flow pattern that will result in a smooth flow of traffic.
The length of one of the equal legs of an isosceles triangle is 8 cm less than 4 times the length of the base. If the perimeter is 29 cm, find the length of one of the equal legs.
A rectangular park measures 300 ft. by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the length of the sidewalk.
Player II chooses a number j ∈ {1, 2, 3, 4}, and Player I tries to guess what number II has chosen. Set up the matrix of this game and solve
Why is it not possible to meet the scheduling constraints set by the Board? What is your recommendation to handle the scheduling problem?
james believes the honor roll students at his school have an unfair advantage in being assigned to the math class they
Hayes electronics assumed with certainty that the ordering cost is $450 per order and the inventory carrying cost is $170 per unit per year. However, the inventory model parameters are frequently only estimates that are subject to some degree of unce..
Driven undamped harmonic oscillator x" + x = cos(2t), x(0) = 1, x'(0) = 0, tf = 24Π. Resonantly driven undamped harmonic oscillator x" + x = cos(t), x(0) = 1,x:(0)= 0, tf = 24Π.
Describe the history of the Chinese Remainder Theorem. Describe some of the relevant problems posed in Chinese and Hindu writings and how the Chinese Remainder Theorem applies to them.
Suppose that f and g are continuous functions and (integral sign) from 2 - 0 of f(x) dx = 5 and (integral sign) from 2-0 of g(x) dx = 13. Compute the following.
What are the equivalence classes of the equivalence relation in Question 11(b)?
The drying rate in an industrial process is dependent on many factors and varies according to the following distribution.
During the year they made only a nominal amount of disbursements of the type that qualify as itemized deductions. What is their standard deduction on a 2011 joint return?
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