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151 g of water at 79.0°C are mixed with 75.2 g of water at 23.0°C. If no heat is lost to the surroundings, what is the final temperature of the water? The specific heat of water is 4.184 J/g·°C.
Let P : C -> R be defined by P(z) = Re z; show that P is an open map but it is not a closed map. ( Hint: Consider the set F = { z : Imz = ( Re z)^-1 and Re z doesn't equal to 0}.) Please explain every step and justify.
Make the shape of the square.
U sing an equal number of participants, find how many subjects will you need in each group
What are complex numbers? What does imaginary parts of equal magnitude and opposite signs mean?
A plane is heading due south with an airspeed of 237 mph. A wind from a direction of 50 degrees is blowing at 12 mph. Find the bearing of the plane.
Discrete Probabilities - Expected Value of a Distribution. What is the expected value of a distribution and is it a reasonable number to use to describe a population with?
The manager of a weekend flea market knows from past experience that if he charges x dollars for a rental space at the flea market, then the number y of spaces he can rent is given by the equation y = 200 - 4x.
Walleye is a common game fish. Adult walleye have a length with a mean of 44 cm and a standard deviation of 4 cm and the distribution of lengths is approximately Normal. What fraction of walleye are longer than 52 cm in length?
Thirty-eight percent of hospital admissions for diabetic patients are related to problems with the kidneys. In a sample of 10 diabetic hospital admissions, calculate the mean and standard deviation of diabetic patients with kidney problems.
Betweenness in taxicab geometry. Let A = (0,0) B = (1,0) and C = (1,1) and let k denote the taxicab metric.
At East Zone University there are 627 students taking College Algebra or Calculus. 417 are taking College Algebra, 261 are taking Calculus,and 51 are taking both College Algebra and Calculus. How many are taking Calculus but not Algebra?
Equation of an Ellipse, Principal and Interest and Lotto Probabilities, Among the professionals you have interviewed for your article , were several state and federal government spokespersons who use linear equations in a variety of ways.
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