Crossbar theorem for asymptotic triangles
State and prove a version of the crossbar theorem for asymptotic triangles.
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Find out if there is an inverse of 12 modulo 7. If there is an inverse, find it. Find out if the congruence 12x congruent to 8(mod 7) has a solution for x and if so, find a solution
Assume that the depreciation rate is 10 percent per year. Calculate the consumption per unit of labor for a savings rate of 0%, 10%, 20%, 30%, 40%, 50%, etc. Determine the savings rate that maximizes the consumption per unit of labor?
A Piston-Cylinder device haves 1.303 kg of nitrogen gas at 120 kPa and 27 C. The gas is now compressed slowly in a polytropic process during which PV^(1.27)=constant. The process ends when the volume is reduced by one-half. Determine the entropy c
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Brian wishes to buy an annuity that will provide annual payments of $1000 at time t = 2 with payments decreasing by 8% every year. The last payment is at time t = 30. Find the price of this annuity given that the effective interest rate is 3%.
How can compare the unemployment rate in the state of New Jersey to the national average of the past four years? Evaluate the trends in relation to the types of unemployed workers in the state of New Jersey.
Let (e1, e2) be the standard basis for R^2. Form a new basis by selecting a postive angle theta and rotating e1 and e2 counterclockwise through the angle theta. Find the explicit form of the new basis elements by using trigonometry.
Calculate the maximum amount of water Michael could possibly consume in a week in the presence of this tax? (Assume that Michael's $1000 per week budget is fixed and that the tax is levied instantly once X (sub) w>100)
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Revise and write present history of illness: Patient is a 24 year old female present with o The patient reports recent onset of dizziness episodes,
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This 50-year-old caucasian male patient with mild MR and spastic CP presented for annual recommended sigmoidoscopy at 50 yrs.