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A rope with mass 8 kg and length 100 m hangs down a well that is 100 deep. The bucked on the end of the rope weighs 3 kg itself. At the start of lifting the bucket it contains 25 kg of water but slowly loses water at a constant rate so that at the top, half of the water is in the bucket. How much work is required to pull the bucket up the 100 m?
What is the most that it is willing to bribe an inspector to allow it to use another unit of input 1?
A man cycles with a speed of 10 km/h and reaches his office at 1 p.m. However, when he cycles with a speed of 15 km/h, he reaches his office at 11 a.m. At what speed should he cycles so that he reaches his office at 12 noon?
the following is a list of account titles and amounts in millions from a recent company annual reportbuildings and
Determine how fast the depth of the water is changing at the moment when the cone is completely submerged if the cone is moving with a speed of 3 cm/s at that moment.
a production process requires a fixed cost of $50,000. The variance cost per unit is $25 and the revenue per unit is projected to be $45. Find the break-even point.
in football teams can score 6 points with a touchdown 3 points with a field goal or 2 points with a safety.
The assembly line that produces an electronic component of a missile system has historically resulted in a 2% defective rate. A random sample of 50 components is drawn. What is the standard error of the proportion?
Provide a plot of temperature versus distance east. Based on its appearance, is it a good linear model for predicting temperature as a function of distance?
snell's law total internal reflection between two materials is seen to occur if a critical angle of 60° is exceeded. if the index of refraction of the material that the light is entering is 1.98, find the index of refraction of the material in whi..
Show all of your work and reasoning. In particular, when there arecalculations involved, you must show how you come up with your answerswith critical work and/or necessary tables. Answers that come straight fromprograms or software packages will n..
Your textbook outlines a specific 4-step strategy that is used to solve general algebraic equations.
Is the rate at which a droplet's mass increases positive or negative? What are the implications of your response when thinking about the function m(t)?
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