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To find distance between them, surveyor locates point C on land such that angle CAB = 48.2°. He also measures CA as 310 ft and CB as 527 ft. Determine distance between A and B.
Graph f and verify that f is the one-to-one function. Determine f^-1 and add graph of f^-1 and line y=x to graph of f. Define the domain and range of f and domain and range of f^-1.
The radio transmission tower is 592ft tall. The guy wire is to be attached 6ft from top and is to make angle of 22 degrees with ground. How many feet ling must guy wire be?
Annual U.S. box office revenue in billions of dollars for the span of years beginning in 2002 can be modeles by function. In what year was box office revenue at highest in time span?
Rewrite function with the positive angle, and then graph resulting function. Determine amplitude, period, displacement of function.
Find probability that both freeways are congested? It turns out that 85 is congested.Find the probability that 280 is also congested?
The amount of waste company produces, W, in tons per week is approximated by W=3.75e^-.008t, where t is in weeks since Jan 1, 2005. Waste removal for company costs $15/ton.
The company evaluates total revenue, R, in dollars, received from sale of q items is R=ln(1+1000q^2). Compute and interpret marignal revenue if q=10.
What occurs at x= -3 in each function? Is there a hole, x-intercept or vertical asymptote? Y= (x-3)(x+3)/(x+3)(x-1) Y= (x-3)(x+3)^2/(x+3)(x-1) Y= (x-3)(x+3)/(x+3)^2(x-1) Y= (x-3)(x+3)/(x+3)
The weight of 800 pounds is suspended from two cables. One cable is 35 degrees and other is 50 degrees. Determine the tensions in the two cables?
You apply multiple forces at same point. Force in horizontal direction direction is 50 Newtons, and force in vertical direction is 100 Newtons. Determine resultant force in vector form? Determine i
In one dorm, 40 students are math majors, 5 have a double math/science major and 20 are science majors. Find number of students live in dorm?
Determine present value of the ordinary annuity of 60 payments of $5100 each made quarterly and earning interest at 8%/year compounded quarterly.
The large painting in style of Rubens is 3ft longer than it is wide. If wooden frame is 12 in wide, area of picture and frame is 208 ft2, determine the dimensions of the painting.
Use Heron's Law to determine area of triangle with sides a = 9, b = 12, c = 15. Utilize Law of Sines to solve for all possible triangles which satisfy given conditions a = 30, c = 40, A = 37 degree.
Use effective half-life found in part (a) to find out percentage of radioactive iodine remaining in human thyroid gland five weeks after its ingestion.
A pharmaceutical drug, Lipitor that has been shown to lower "bad" cholesterol levels while raising the"good" cholesterol levels in the patients taking the drug, had over $11 billion in sales in 2006
A gas sample is a mixture of butane and ethane. A bulb having 215.0 cm3 capacities to a pressure of 108.5 x103 Pa is filled with the gas at 19.2 degrees Celsius.
Explain how you would go about finding the number of "chalk molecules "it takes to write your name on the board?
Assume that 1¢ is deposited in the savings account paying 1% annual interest compounded continuously. How much money will have accrued in account after 2000 years?
In a titration the following data were collected. A 10. mL portion of an unknown monophonic acid solution was titrated with the 1.0 M NaOH; 40.mL of the base were needed to neutralize the samp
At last, mix of no Dumbium, 4 cc of Sillium, 3 cc of Deludium and 4 cc of Ignorium weighed 41.2 gms. Provided all this find weight of pure Deludium per cc, correct to nearest tenth of a gm/cc?
Calculate if the heat of solution is endothermic and exothermic from the magnitude of the lattice energy and the hydration energy and vice versa and define the difference among the hydration energy
Determine how are Elements and compounds, protons, electrons, , Neutrons, mass number and Atomic number, radioactive and the Isotopes are related under the structure and the bonding sub topics? &n
If Epsom salt, MgSO4, H2O, is heated to 250degrees C, all the water of hydration is lost.0.824g of MgSO4remains, on heating a 1.687-g sample of the hydrate. Determine how many molecules of wat