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A bucket that weighs 4.2 pounds and a rope of negligible weight are used to draw water from a well that is 84 feet deep. The bucket is filled with 45 pounds of water and is pulled up at a rate of 1.9 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well. Your answer must include the correct units.
How are these concepts of direct, inverse, and joint variation used in everyday life? Provide examples for each. You will need to complete your research online. This information is not in your textbook. I would provide examples that justify your r..
Information on a packet of seeds claims that the germination rate is 92%. The packet contains 160 seeds. We will treat the packet as a random sample of seeds. Find the standard error of the proportion. Show 4 decimal places in your answer.
Characterize the set of all real numbers with the discrete metric as to whether it is compact, complete, or totally bounded. Use definitions only!
Assume that for each type of system below there is at least one variable with a nonzero coefficient. Find the smallest and largest rank possible for the corresponding augmented matrix in each case.
Find the parametric equations for the line through the point P = (3, -4, 0) that is perpendicular to the plane 2x + 0y+ 5z = 1. Use "t" as your variable, t = 0 should correspond to P
Calculate the ninety-nine percent confidence interval find the gasoline mileage of an individual, randomly selected 2006 car with 180 horsepower.
Determine the probability of event A given that event B is already occurred
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected.
The vertices of the trapezoid are the origin along with A(4m, 4n), B(4q, 4n) and C(4p,0). Find the midpoint of the midsegment of the trapezoid.
draw and area model demonstrating the product (3x+y)(x+2y). Find the product algebraically. Explain how the algebraic product varifies the area model.
Correctly match each of the following descriptions to a graph below by inserting the letter of the description that correctly describes the graph in the open box under the graph. The graph has both an Euler circuit and a Hamilton circuit.
write the English phrase as an algebraic expression. A number decreased by the sum of the number and eight.
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