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Suppose that a connected planar graph has eight vertices, each of degree three. Into how many regions is the plane divided by a planar representation of this graph?
Samuel consumed 2129 calories of food on Monday, 2348 calories on Tuesday, and 1863 calories on Wednesday. In order for Samuel's average calorie intake to equal a daily average of 2200 calories, how many calories of food must he consume on Thursda..
The county of Blue needs $800,000 from property tax to meet its budget requirements. The total value of assessed property in Blue is $140,000,000.
Consider the Problem based on first-order linear system. Show that the solution for t ≥ 0 is x(t)= β (t - τc)+(x0 + βτc)eAt. Make an accurate sketch of u(t) and x(t) (versus t) on the same graph, for x0 = 0, β = 3 and A = 0.5.
from the top of a cliff 16415 ft high you observe a shorter cliff7542 ft high. if the two cliffs are 3789 ft apart at
It is commonly assumed that the stock market yields a 10% rate or return (on average) on investments made in the market long term. Write an essay looking at the advantages and disadvantages of investing in the stock market long term.
What are the dimensions of this rectangle?
a cashier has a total of 123 bills made up of fives and tens. The total value of the money is $725. how many ten-dollar bills does the cashier have?
you have the opportunity to invest 10000 in one of two companies that are part of the same industry. the only
what could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
Factoring Completely # 70 6w2-54w2 with an explanation of how you break it down.
The tax rate of Mishthosi is 30% and its cost of capital is 10%. Compare the option of buying and leasing to help the company decide which alternative they should choose.
Show that the Sierpinski carpet has Lebesgue measure 0. Show that the Sierpinski carpet has Hausdorff dimension log3 8. Show that for s 0 by integrating e-sx sin2xy with respect to x and y.
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