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Two trains leave stations 440 miles apart at the same time and travel toward each other. One train travels at 105 miles per hour while the other travels at 95 miles per hour. How long will it take for the two trains to meet?
Describe how you would calculate the odds of winning the jackpot. Do you think it is worth it to buy a ticket? Why or why not?
Describe what cyclic groups are and show that they are abelian. Describe their structure and the structure of their subgroups and factor groups up to isomorphism.
Find the level of production that will maximize the total revenue and determine the maximum revenue.
Evaluate the nearest distance between two tunnels using cosine rule. In a mine, two tunnels are dug starting at the same point.
Show that log(r), where this is log base 10, is irrational when r is a positive rational that is not an integral power of 10
Water is flowing at the rate w of into a tank in the form of a cone of altitude h and base radius and with its vertex in the downward direction. How fast is the water level rising when the water is a certain depth x ?
You are driving to Columbia, SC and due to a traffic jam can only go 30 Mph for the first 20 miles. After that you drive the remaining 90 miles at 60 mph. Sketch a graph of distance versus time and one of speed versus time.
The population of a community is known to increase at a rate proportional to the number of people present at time t
A bakery makes cakes. The bakery has daily fixed costs of $418 per day and variable costs of $7.30 per cake produced. Cakes are sold for $12.80 each.
Test at the five percent level of significance
Use polar coordinates to evaluate the volume of the solid below the paraboloid (z= 4-x^2-y^2) and above the xy plane.
Create a function to determine how much revenue you will make at each price you charge. This is done by multiplying the price times your function. For example if your function is Cups Sold = 1000 - 100*Price, your revenue function would be Price*(..
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