Reference no: EM131008908
1. Scientist can determine the age of ancient objects by a method called raarbon dating. The bombardment of the upper atmosphere by cosmic rays converts nitrogen to a radfoactive isotope of carbon, 14C, with a half-life of about 5730 years. VegetatIon absorbs carbon dIcalde through the atmosphere and animal life assImflates 14C through food chains. When a plant or 371.1 dies, It stops replacIng its carbon and the amount of 14C beg. to /decrease through radioactive decay. Therefore, the level of radioactivity must also decay exponentially.
A parchment fragment was discovered Mat 734 about 64% as much 14C radioactivity 66 0066 plant material on Earth today. Estimate the age of the parchment. (Pound your answer to the nearest hundred years.)
2. x In x =y(1 + √(24 + y2)) y', y(1) = 1.
3. Find an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) Is 5xy.
4. A tank contains 300 L of 15rne with 16 kg of dissolved salt. Pure water enters the tank at a rate of 30 L/min. The solution is kept thoroughly mIxed and drains from the tank at the same rate.
(a) How much salt is In the tank after t minutes,
(b) How much salt is In the tank after 30 minutes, (Round your answer to one decIrnal place.) y =
5. A roast turkey Is taken from an oven when Its Mmperature has reached 185°F and is placed on a table In a room where the temperature 75°F. (Round your answers to the nearest whole numher.)
(a) If the temperature of the turkey Is 150°F after half an hour, what Is the temperature after 50 minutes,
(b) When the turkey have cooled to 95°7
6. A sample of a radioactive substance decayed to 96% of original amount after a year. (Round your answers to two decimal Places.)
(a) What is the half-life of the substance,
(b) How long would It take the sample to decay to 90% 00 109 orIginal amount,
|
Calculate the force acting on the point charge
: Force on line charge density. A line charge lm long is charged with a line charge density of 1nC/m. A point charge is placed 10 mm away from its center. Calculate the force acting on the point charge if its charge equals 10 nC.
|
|
Conduct a financial projection
: Based on the scenario and financial data provided by the course Instructor, conduct a financial projection (revenues, expenses, and profit) that analyzes the efficiency of the supply of health services.
|
|
Number of mortgage applications
: a) T- shirts at a store: price each, number sold. b) Real estate: house price, house size (square footage). c) Economics: Interest rates, number of mortgage applications. d) Employees: Salary, years of experience.
|
|
Calculate the electric field intensity at a height h
: A thin ring of radius a is charged so that a uniform line charge density of Pt C/m exists on the ring. Calculate the electric field intensity at a height h above the center of the ring, on its axis.
|
|
What is the half-life of the substance
: A sample of a radioactive substance decayed to 96% of original amount after a year. What is the half-life of the substance, How long would It take the sample to decay to 90% 00 109 orIginal amount,
|
|
What are the null and alternative hypotheses
: What is the critical value - what is the test statistic and What are the null and alternative hypotheses?
|
|
Describe the storage of carbohydrate in the athlete
: Determine the correct percentage of carbohydrate the athlete's diet needs to contain. This also includes the amount of grams and calories that the carbohydrates provide. Describe the storage of carbohydrate in the athlete
|
|
Explain descartes reasons for thinking
: Explain Descartes' reasons for thinking that the truths of geometry are more certain than the truths of astronomy. Is he right in thinking this? Why or why not
|
|
Calculate electric field intensity at the center of shaft
: A cable runs through a mine shaft suspended from the ceiling as shown in Figure. The cable is thin and carries a charge of 10 nC per meter. The shaft is 10 m in diameter. Calculate the electric field intensity at the center of the shaft (magnitude..
|