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If f(x) = a(x - h)² + k, explain how the values of a, h, and k affect the graph of the function. Provide an equation with real-number values of a, h, and k, so that your classmates can describe the changes/shifts made to the graph of y = x².
Use critical value z0 method from the normal distribution
How many different trains of white (1x1) and/or red (1x2) rods are there of a given length N? Find at least 2 ways to justify your solution
Early one morning it began to snow at a constant rate. At 7 AM a snowplow set off to clear a road. By 8 AM it had traveled 2 miles but it took two more hours for the snowplow to go another 2 miles.
Express the following in the polar coordinate form: u(r, theta) + i v(r,theta)
Evaluate the type of conic from the given equation - Indicate which type of conic each of the following represents.
Find the sum/difference as a product of sine’s or cosines.
G is a finite group with elements a and b. Let the conjugacy classes of these elements be A and B respectively and suppose |A|^2, |B|^2
Let U = {60 Minutes, American Idol-Tues., American Idol-Wed., CSI, CSI: Miami, Desperate Housewives, Friends, Grey's Anatomy, Law & Order, The Apprentice}. Construct a Venn diagram illustrating the sets.
For the following right triangle, find the side length x. Round the answer to the nearest tenth.
There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points:
A recipe uses two eggs, three cups of flour & some other ingredients. The recipe makes enough batter for 6 servings. How many cups of flour will be needed to make enough batter for ten servings?
In a rooted binary tree with 16 vertices, there must be a path of length 4. No tree has a Hamilton path.
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