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certain drug is made out of two compounds only: A and compound B. To make this drug 6 parts of compound A are used for every 5 parts of compound B. If a chemist wants to make 957 milliliters of this drug, how many milliliters of compound B are needed.
Each of the numbers 0 through 24 is written on a piece of paper and all of the pieces of paper are placed in a hat. One number is selected at random. Determine the probability that the number selected is even.
A graph has six vertices, every two of which are joined by an edge. Each edge is colored red or white. Show that the graph contains a monochromatic triangle (a triangle all of whose vertices have the same color.) Is the result ttrue for a graph wi..
Evaluate the point on the graph that is closest to given point - Find the point on the graph of the function that is given to closest point.
Use the definition finition of the derivative to find f'(x) given f(x) = sqrt(x). What is the maximum height attained by the ball?
mr and mrs motor spent 5 nights at the dew drop inn. they paid a total of 234.75 what was the cost per night.
In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. For the change of -glucono lactone into gluconic acid, for example, when is measured in hours.
A business journal investigation of the performance and timing of corporate acquisitions discovered that in a random sample of 2,963 firms, 610 announced one or more acquisitions during the year 2000.
Use the simplex method to determine the optimal production schedule so as to maximize profits. Show that the geometric method gives the same solution.
John sells his house and earns a profit of $600,000. With the profit, he buys a 20 year annuity that earns 6.5% interest compounded monthly. What monthly payment will John get?
Based on the parallelogram law, show that the norms ||.||_1 (1-norm) and ||.||_infinity ( infinity or maximum norm) in R^2 are not induced by any inner product.
the time needed to roast a chicken depends on it weight. allow at least 20min/lb for chicken weighing as much as 6lb. allow at least 15min/lb for chicken weighing more than 6lb.
A water trough is 10m long and a cross-section has the shape of an isosceles trapezoid that is 30cm wide at the bottom, 80 cm wide at the top and has height of 50 cm. if the trough is being filled with water at the rate of 0.2 m^3/min, how fast is..
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