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1- A solution contains 5 grams of glucose per 100 milliliters. Each mole of glucose
weighs 180 grams. How many moles are there in 200 milliliters of the glucose solution?
2-A light-year is a measure of length equal to the distance that light travels in 1 year. Compute the conversion factor between light-years and meters, and find the distance to the star Proxima Centauri 4 1016 m in light-years. The speed of light is 3 108 m/s. Show your conversion work with the appropriate ratios.
3-A jogger is going at 12ft/min. How fast is she going in miles per hour?
Indicate, by checking the appropriate box, whether the given points below are on line 1 , on line 2 , on both line 1 and line 2 , or on neither one of the two lines:
A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1. Determine the other x-intercept
Evaluate critical points, end points, local extrema and global extrema - Evaluate f at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of f in the interval.
Probability: High Risk Apartments. In a local town, there are three separate apartment blocks, A, B and C. Block A contains 10 apartments, of which two contain "High Risk" inhabitants.
In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!"
find the probability that his or her birthday is not in May. If a person is randomly selected, find the probability that his or her birthday is not in May.
Determine whether the following assertion is true or false: if you integrate the Fourier series for the delta function d(x) term by term you obtain the Fourier series for the step function s(x).
Groups: Isomorphisms and Mappings, Let G be the additive group of all real numbers, and G' be the group of all positive real numbers under multiplication
Suppose you randomly draw two marbles, without replacement from a bag, containing six green, four red and three black marbles. a) Determine the probability that both marbles are red.
Calculate the value of the appropriate test statistic
The difference exists between the mean number
A formula is derived for the n-th derivative of a function that is a product of two other functions, f(x)=u(x).v(x). This formula is used to write down the n-th derivative of f(x) = e^x/(1 − x).
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