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A swimming pool is 12 meters long ,6 meters wide, 1 meter deep at the shallow end, and 3 meters deepat the deep end. Water is being pumped into thepool at 1/4 cubic meter per minute, and there is 1 meter of waterat the deep end.
(a) What percent ofthe pool is filled?(b) At what rate isthe water level rising?
from a rectangular piece of cardboard having dimensions 20 inches x 30 inches, an open box is to be made by removing squares of area x^2 from each corner and turning up the sides.
Lauren bought 20 ounces of sliced ham. she used 3/4 of the ham to make sandwiches for her friends and 1/5 of the ham in an omelet. how many ounces of ham were left?
Use Fermat's Little Theorem to compute 3^302 mod 5, 3^302 mod 7, and 3^302 mod 11. Use your results to find 3 ^ 302 mod 385
Why did Leontief use linear algebra techniques to create his model? Can you think of alternative methods? What are the main strengths of his model?
if a 560-N woman stands on top of a very tall ladder so she is one Earth radius above Earth's surface, how much does she weigh in newtons.
Determine the population proportion
What is the probability that you obtain a black ball?
a normal distribution has a mean of 500 a standard deviation of 50. A manager wants to simulate one value from this distribution, and has drawn the number 1.4 randomly. What is the simulated value?
A ranger in tower A spots a fire at a direction of 354 degrees. A ranger in tower B located 60 miles aat a direction of 50 degrees from tower A spots fire at 317 degrees. How far is fire from tower A and B.
Is a directed graph weakly connected if there is a path from a to b and from b to a whenever a and b are vertices in the graph?
At every subsequent stage, a ball is randomly selected from the urn whose color is the same as that of the ball previously selected and is then returned to that urn. In the long run, what proportion of the selected balls are red? What proportion a..
At the [I.CI level of significance, test the claim that the mean eight of women with Turner's syndrome is less than that of the general female population]
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