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Suppose that p and q are prime numbers and that n = pq. Use the principle of inclusion-exclusion to find the number of positive integers not exceeding n that are relatively prime to n.
A 5-kg iron block is attached to a spring scale and is submerged in a fluid of unknown density. The spring scale reads 6.16 N. What is the density of the fluid?
on three consecutive passes, a football team gains 9 yards, loses 16 yards, and gains 30 yards. What number represents the total net yardage?
Assignment 5. An square ABCD with side lengths 4 is given. Five circles are placed inside this square. Four of them have the same radius and are internally tangent to the sides meeting at vertices A, B, C and D respectively. The fifth is internall..
how many chairs of each type should be made to maximize the profit. need to formulate as an integer programming problem.
How many ounces of wheat germ and how many ounces of enriched oat flour should be used in each serving to meet the nutritional requirements at the least cost?
how many miles will be an oil tank farm has an empty tank with a capacity of 5000 gallons. it will be filled with
Based on your research, do you think it is reasonable to expect this house to be worth $220,000. Justify your answer based on appreciation rates in your area.
the sum of 2 numbers is 36. the difference between the larger number and 8 equals the total of four and three times the smaller number. find the 2 numbers.
An open valve allows water to leave at 4gal/hr. Set up a differential equation with initial condition to determine the amount of salt as function of time.
how can we solve an ordinary second-order non-homogeneous euler equation by laplace tansfomation?
How fast is the radius decreasing at the min moment when radius is 10 cm? Express the answer in exact form, using appropriate units.
A patient must receive a total of 5.1/3 ml of a drug. If the drug must be administered in three equal doses, how much is each dose?
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