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You may discuss these problems with me, or with other students in this class, but with no one else. You should write legibly, and carefully justify your answers.
(1) ) If n is a (fixed) positive integer what is the number of solutions (x,y) (with x and y positive integers) to the equation
1/x + 1/y = 1/n .
Carefully explain your reasoning. (Hint: Compute (x-n)⋅(y-n) .)
(2) Let n = 3t-1. Show that 2n ≡ -1 (mod 3t )
(3) If p is a prime show that every prime factor of 2p − 1 is larger than p
The family cat is also walking in the backyard. The line segment between the cat and the two trees are always perpindicular. Find the equation of the locus of the cat.
explain how the commutative and associative properties of multiplication can help you evaluate the product 5x17x2 mentally.
Shopping at Savers Mart, Lisa buys her children four shirts and three pairs of pants for $85.50. She returns the next day and buys three shirts and five pairs of pants for $115.00. What is the price of each shirt and each pair of pants?
After reading the example above where one can see how probability values can be used in managerial decision-making to establish a product guarantee, post a comment where you think probability could be used to help solve other management-type quest..
A machine can be leased for 4 years at $1000 per month payable at the beginning of each month. Alternatively, it can be purchased for $43,000 and sold for $5000 after 4 years. Should the machine be purchased or leased if the firm's cost of borrowi..
Formulate a linear programming model to determine the optimal product mix that will maximize profit. What are the sensitivity ranges for the objective function coefficients
Probability- Considering Failure Rates, The records of Midwestern University show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics
Find the point where the line through the points P(1, 0, 1) and Q(0, 3, 2) meets the plane 2x - y + 3z = 6. Find the angle between the line and the normal to the above given plane.
Angus invested $18,000, part at 3% and part at 5%. If the total interest at the end of the year is $660, how much did he invest at each rate?
1 has the content in this course allowed you to think of math as a useful tool? if so explain how?2 create a list of
solve the system with any method.solve the system with any method between graphing elimination and substitution x 4y
niran has 72 cm of molding to make a frame for a print. this is not enough molding to frame the entire print. how
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