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Let G consist of a five cycle and a complete graph on four vertices, with all vertices of the five-cycle joined to all vertices of the complete graph. What is the chromatic number of G?
Calculate the probability that the rent of a randomly selected unit.
An open (no top) rectangular box with square ends, having a volume of 6400 ft^3 is to be built at a cost of $3 per square foot for the base and $1 per square foot for the sides. Find the dimensions of the least expensive box.
from a rectangular piece of cardboard having dimensions an open box is to be made by romoving squares of area x squared from each corner and turning up the sides.
Rotate points through 60° about the point (6, 8).
a motorboat travels 332 in 4 hoursgoing upstream 555 and in 5 hours going downstream. What is the speed of the boat in still water, and what is the speed of the current?
billy likes to go cycling. His bike has wheels of diameter 75cm. He has invented a counter for his bike , which counts the number of revolutions the wheel make. one day the counter shows 250 revolutions. How far has billy cycled? Give your answer ..
What is the probability that you obtain a black ball?
a running track has a straight legs of length 100 yards that are 60 yards apart. what is the length of the inner lane
Suppose that the simultaneous equations F(x,y,z)=0 and G(x,y,z)=0 define x=f(z) and y=g(z) implicitly, Determine expressions for dx/dz and dy/dz in terms of partial derivatives of F and G
The Jacksons plan a 3-Week trip with a budget of $600 for renting a car. Car rental rates are $135/week plus $0.17/km. Write a formula to show the number of kilometers the Jacksons can travel.
a plane flies 435 miles with the wind and 375 against the wind in the same length of time. if the speed of the wind is 10 mph. find the speed of the plane in still air?
Inside a semicircular tunnel of diameter 20 feet, a vertical support beam is placed 6 feet from the side of the tunnel. How tall is the beam? (Round to one decimal place.)
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