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The half-life (the time required for the body to eliminate one-half of the total amount of caffeine) varies widely depending on factors such as: age; liver function; pregnancy; medications. In healthy adults, the half life is approximately 5 hours. Mr. Math LOVES McDonald's Diet Coke, and drinks the big 32oz one, which contains 121.6 mg of caffeine.
a. State the equation of a function to represent the amount, A, of caffeine (in mg) left in Mr. Math's system after n hours, assuming he consumes no more caffeine.
b. How much caffeine is in his system after 2 hours? Round to 1 decimal place.
c. If you were to graph this relationship (time vs. amount of caffeine in body) for Mr. Math, then how would the graph change for Mrs. Math who is pregnant, and requires a much longer time to metabolize caffeine.
While remodelling your garage, you need to temporarily splice, end to end, an 80 m long copper wire that is 1.130 mm in diameter with a 49.0 m long aluminium wire that has the same diameter. The maximum current in the wires is 2.00 A.
a man exerts a force of 60n straight up to lift a watermelon that weighs 2.5 kg. what is the acceleration of the
A hydraulic lift is used to jack a 1120kg car 10 cm off the floor. The diameterof the output piston is 18 cm, and the input force is 250 N. Calculate the combined work input of all of the strokes
A light plane is headed due south with a speed of 151km/h relative to still air. What is the wind velocity
A flat sheet of crystalline quartz has a thickness of 1.0 cm. It is on top of a flat sheet of diamond that has a thickness of 1.2 cm. how far would it have traveled in a vacuum
A small circular hole 6.90 mmdiameter is cut in the side of a large water tank, 19.0 m below the water level in the tank. The topof the tank is open to the air. Find the volume discharged per unit time
A 7.7cm diameter horizontal pipe gradually narrows to 6.7cm . When water flows through this pipe at a certain rate, What is the volume rate of flow
A copper vat is 12m long at room temperature (20°C). How much longer is it when it contains boiling water at 1 atm pressure?
Calculate the shear stress of the crude oil at the walls, and plotting the velocity distribution graph for the same.
A plane polarized EM wave propagates through a polymer. Such waves obey a similar wave equation to that found for free space. The wave has a magnetic field vector, ??=[(?1.2??)?sin(??y+??t)] ?T, with frequency ??=7.61×10^(14) Hz and wave number ??..
Find the torque required to over come the viscous force in a journal bearing having Radius of journal R , angular velocity w length of the bearing L and thickness of oil film t
A steel wire having a mass of 6.30 g and a length of 1.10 m is fixed at both ends and has a tension of 996 N. Find the speed of transverse waves on the wire
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