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Question: We have proved that every positive integer is a power of a prime number or a product of powers of prime numbers. Show that this factorization is unique in the following sense: If you have two factorizations of a positive integer, both factorizations use exactly the same primes, and each prime occurs to the same power in both factorizations. For this purpose, it is helpful to know that if a prime divides a product of integers, then it divides one of the integers in the product. (Another way to say this is that if a prime is a factor of a product of integers, then it is a factor of one of the integers in the product.)
Find the level of production for which the average cost is equal to the marginal cost.
Mineral deposits have formed a uniform coating that is 4mm thick on the inside of a water pipe. The cross0sectional area of the pipe has decreased by 10% What was the original diameter of the pipe. (nearest tenth) of a millimeter.
What are SBA loans? How does an increase on decrease in short term interest rates positively or negatively affect small businesses?
find slope of direct variation eqation.1. y7x2. y0.75x3.
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 46.5ft^3. What dimensions yield the minimum surface area? Round to the nearest tenth, if necessary.
what are the dimensions of the silo (radius and height of cylindrical tower) that minimize the cost of the material? Assume the silo has no floor and no flat ceiling under the dome.
The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?
Consider the situation described- A critical dimension (measured in mm) is of interest to the process engineer. Suppose that five fixed positions are used on each wafer (position 1 is the center) and that two consecutive wafers are selected from e..
What was the average after 3 months - After how many months would be expected that the average mark would be less than 50?
In this one- to two-page (250-500 word) paper, you will discuss each of the different components of an information system, and then explain how you can use the five-component model to guide your learning and thinking about information systems.
Human Resource Management Strategy and emerging issues. 1. Explain how workplace cultures affect human resource management (HRM) competencies. 2. Explain different leadership styles for the 21st century.
The well-ordering property can be used to show that there is a unique greatest common divisor of two positive integers. Let a and b be positive integers.
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