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n a simple graph, every face has at least three edges. This means that the number of pairs of a face and an edge bordering that face is at least 3f. Use the fact that an edge borders either one or two faces to get an inequality relating the number of edges and the number of faces in a simple planar graph.
A person deposited 500dollars in a savings account that pays 5% annual interest that is compound yearly. at the end of 10 years, how much money will be join the savings account.
A trapezoid has base lenghts of 19.5 and 24.5 centimeters with an area of 154 cm squared. What is the height of the trapezoid
Show that if 7 integers are selected from the first 10 positive integers there must be at least 2 pairs of these integers with the sum 11
A random sample of 42 salespersons were asked how long on average they were able to talk to a potential customer. Their answers revealed a mean of 8.100000000 with a variance of 6 minutes. Construct a 95% confidence interval for the time it takes ..
An airplane flies 470 miles with the wind and 310 against the wind in the same length of time. If the speed of the wind is 30, what is the speed of the airplane in still air?
Give a real-life example of a situation in which you would use a system of inequalities, and for which the solution must be in the first quadrant.
The population of a community is known to increase at a rate proportional to the number of people present at time t
nick has a goal to pay his credit card balance in full by june 30.when he first wrote the goal in december his balance
A stone dropped in a still pond creates a circular ripple whose radius increases at a constant rate of 3 ft/s. At what rate is the area enclosed by the ripple increasing 8 s after the stone strikes the pond?
Formulate a nonlinear program representing the profit maximization problem for the bakery. What is the equation associated with the constraint regarding the amount of time available for baking?
The moon of Qubit is a rectangular solid with sides s, 2s and 3s. What is the minimum distance one needs to walk to get from one vertex of the moon to the vertex opposite it
How many bars and shakes should he consume daily while maximizing his protein intake? What is the maximum daily protein intake?
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