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A company determines that in order to sell x
x
items the price per item, in dollars, must be p(x)=1830
p(x)=1830. The company also determines that the total cost, in dollars, to produce x x
items is given by C(x)=3100+610x+1.5x2C(x)=3100+610x+1.5x2.
How many items must the company produce and sell in order to maximize profit?
The company must produce and sell
Assume that yo-yo drops 1.0 m vertically from its owner's hand at a uniform speed of 0.80 m/s along its string. At the end of the string, it changes direction in 0.10 s and rises toward the owner's hand at a uniform speed of 0.60 m/s. Compute the average acceleration of the yo-yo at the bottom end of the string as it changes direction.
A mass m = 0.1 gram is hanged on a string inside a bus. The bus is accelerating at a constant rate of 5 m/s^2. At what angle will the mass deflect from the vertical? (in degrees)?
A particle at opposition r=I+ 2j+ 3k is acted upon by a force F 2= 4i +5j +6k.
Evaluate the torque experienced by the particle.
A body moves from a position r²=(I + 2j –3k) meter under the influence of constant force F=( 3i +3–k) Newton. Calculate the work done by the force.
A double riveted lap joint is made between 15mm thick plates. The rivet diameter and pitch are 25 mm and 75 mm, respectively. If the ultimate stresses are 400 MPa in tension, 320 MPa in shear and 640 MPa in crushing, find the minimum force per pitch which will rupture the joint. If the above joint is subjected to a load such that the factor of safety is 4, find out the actual stresses developed in the plates and rivets.
1. A mole of N2 has a pressure of 2.30 atm inside a 20.0 L vessel. What is the volume that the gas occupies if it is compressed to a pressure of 8.45 atm at constant temperature?
2.A sample of air in a container was analyzed to contain 0.390 mol N2, 0.102 mol O2 and 0.0085 mol other gases. What are the partial pressures of these gases in the container if the total pressure is 754 mm Hg?
3.What is the mass of ethanol that must be combusted to generate 20.4 L of CO2 at STP?
4.F2(g) (M=38.00 g/mol) effuses through a pinhole at a rate of 0.01287 mol/s. At what rate does N2O4(g) (M=92.02 g/mol) effuse at the same pinhole?
Calculate the equilibrium concentration of the nonionized acids and all ions in a solution is 0.25 m in HCO2H and 0.10m in HCIO.
A plate 60 mm wide and 12.5 mm thick is to be welded to another plate by means of parallel fillet welds. The plates are subjected to a load of 80 kN. Find the length of the weld. Assume allowable shear strength to be 60 MPa.
the mean weight of baggage of 25 passengers from usa bound for the philippines is 31.8 kilos with a variance of 16. test the claim that the population mean baggage weight is equal to 30 kilos at 0.01 level of significance. Assume that the population is normally distributed. The t value is 2.492
#339914 on Dec 2023