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Explain how complex numbers combine under the following operations:a. Additionb. Division• Use one supporting example for each operation.• Include both algebraic and graphical interpretations in your responses.
An Art dealer sold two artworks for $1520 thereby making a profit of 25% on the first work and 10% profit on the other, whereas if he had approached any exhibition he would have sold them together for $1535 with a profit of 10% on the first and 25..
Write as a system of 2 equations in 2 unknowns. Solve each system by substitution and show each step. Perimeter of a rectangle : the length of a rectangular swimming pool is 15 feet longer than the width.
Between 12:00 Pm and 1:00 PM, Cars arrive at Citibank's drive-thru at the rate of 6 cars per hour. (0.1 car per minute) The following formula from statistics can be used to determine that a car will arrive within t minutes of 12:00 PM.
Give an example of a linear function and show at least one method of graphing it. By looking at the graph of a line, how can you tell if its slope is negative? What kind of line has a slope of zero and why?
What is the probability that the rat will turn left on the second trial?
Let C be a circle with center P and X a point in the exterior of C. Construct the two tangent lines to the circle that pass through X.
Calculating the probability that the player wins in a game of craps. The dice game craps is played as follows. The player throws two die, and if the sum is seven or eleven then she wins. If the sum is two, three, or twelve, then she loses
For the problem, refer to the linear transformation T: R^3 --> R^3 given by T(x) = T(x, y, z) = (2x + 2z, x - y + z, 2x + 2z). Write the change of basis matrix K from the basis F of R^3 which consists of the eigenvectors
Find the equation of horizontal and vertical asymptote of given functions - Find the equations for the horizontal and vertical asymptotes
Finding the density of y and then finding the expectation and (b) using theorem A
Find a quadratic function that models the data shown as a function of x, the number of weeks.
Assume the readings on a thermometers are normally distrubuted with a mean of 0 degree C and a standard deviation of 1.00 degree Celsius. Find the proabilitys that a randomly selected thermometer read leass than 1.43.
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