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What is the decimal notation for the fraction 1/4? How can you show that 1/4 = 25/100? How can you write 5/16 as a decimal? How would you write 1/9 as a decimal?
Given a line L and a point A in the plane, construct the line perpendicular to L that passes through A.
Use the integrating capabilities of a graphing utility to approximate the surface area of that portion of the surface z=e^x that lies over the region in the xy-plane bounded by the graphs of y=0, y=x and x=1.
Suppose that g: Y-->R is a function which is differentiable at y_0. Then the function g o f: X-->R is differentiable at x_0, and (g o f)' (x_0) = g'(y_0)f '(x_0)
For speeds between 40 and 65 mph, a truck gets 480/x miles per gallon when driven at a constant speed of x miles per hour. Diesel gasoline costs 2.23 per gallon, and the driver is paid 15.10 per hour.
Write a method to calculate the area of a circle. Return the area and write a method to calculate the circumference of a circle.
As we know, a set is just a collection of objects that are similar in some way, like a gaggle of geese, pride of lions, or an army of ants. To further classify our world, we can create subsets from a larger set. Let's consider the idea of a subset..
Calculate the test statistic.
Find the solution to the following system of linear equations: Solve the following absolute value inequality: ½ |x - 2|
Let p be a prime. Show that in the ring Z-p (set of integers modulo p) we have (a+b)^p = a^p+b^p for all a, b in Z-p. The following hint was given:
Suppose that V is a complex (i.e. F = C) inner-product space. Prove that if N, an element of L(V), is normal and nilpotent, then N = 0.
Scores on the GRE (graduate record examination) are normally distributed with a mean of 510 and a standard deviation of 148
Computing the height of the building -If, at this point, he is 12 feet from the building, what is the height of the building? Draw a picture, show all work, and find the solution. Round to the nearest hundredths.
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