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At 20 ^circ {rm C} the vapor pressure of benzene ({rm{C}}_6 {rm{H}}_6 ) is 75 rm torr, and that of toluene ({rm{C}}_7 {rm{H}}_8 ) is 22 rm torr. Assume that benzene and toluene form an ideal solution.What is the composition in mole fractions of a solution that has a vapor pressure of 37 torr at 20 ^circ {rm C}?
Determine the distances from A to B and from C to B. Show all work to receive full credit. Round to the nearest hundredths.
L1=Lo*sqrt(1-(v/c)^2) where Lo is length of an obiect at rest, c is velosity of light, v is velocity of the object. If L2=Lo*(c^2-v^2)/c^2, what is L1-L2?
Carol and David decide to play a game as follows: Carol draws and keeps a card from a shuffled pack number 1 to 6.
Water is flowing at the rate w of into a tank in the form of a cone of altitude h and base radius and with its vertex in the downward direction. How fast is the water level rising when the water is a certain depth x ?
Find the Fourier Transform of f(x) = e^((-x^2)/(2a^2). note: complete the square in the x term in the exponent and make the change of variable; y=x+(*a^2)*i*b.
Construct a comparative boxplot. Does it suggest that there is a difference between true average extensibility for high-quality fabric specimens and that for poor-quality specimens?
You have a brick of parallelepiped shape. You need to measure its diagonal (a distance between two opposite vertexes remote to the maximum).
Effectiveness of a disease management program
What is the probability that x=5
Describe an example of a data set that cannot be represented by a tree, but that be represented by a more general graph. Explain why it cannot be represented by a tree.
Two trains leave stations 384 miles apart at the same time and travel toward each other. One train travels at 85 miles per hour while the other travels at 75 miles per hour. How long will it take for the two trains to meet?
A Stirling number Snk is definedc as the number of ways of partitioning the set of positive numbers (1,2,3,....n) into k non empty subsets.
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