Abstract Algebra Answers

A particular railroad found that each month 65% of its boxcars on the home trackage left to join the nation pool and 63% of its boxcars in the national pool were returned to the home trackage. If these percentages remain valid for a long period of time, what percentage of its boxcars can this railroad expect to have on its home trackage in the long run?

A standard banquet table has a diameter of 72 inches. What is the area of the top in square feet? If you allow 2 feet around the outer edge for each person, how many persons can sit around the table at once?

A team of three men receive a check for $9200. The Journeymen makes 300% more than what the Apprentice makes and the Master Craftmen makes 250% more of what the Journeymen makes. How much does each man make?

Linear Programming Project


Name of Company -
Type of Business -
Two Products Made -
Assigned Variables -
Number of Each Product Produced -
Profit Earned with Each Product -
Total Profit Earned –

Note: Areas highlighted in blue should be replaced with information unique to your project/company.

System of Inequalities

Product Information Inequality
# of product #1 per day------------------------------------------------------------

# of product #2 per day------------------------------------------------------------
^
Profit per product #2---------- I ---------------------------

Profit per product #1 ---------- ---------------------------

Total profit earned =

Graph of the System of Inequalities


Points of Intersection Inequality


Point #1 ------------------------------------------------------------
Point #2 ------------------------------------------------------------
Point #3 ------------------------------------------------------------

If # of product #1 and # of product #2 are made, Company Z will earn $ that day.
If # of product #1 and # of product #2 are made, Company Z will earn $ that day.
If # of product #1 and # of product #2 are made, Company Z will earn $ that day.

Maximized Profit Combination
# of product #1 and # of product #2 should be made for Company Z to earn the most amount of money each day.
Company Commercial (for project option #2 only)

1. Find the quotient and the remainder upon dividing 4 + 9i by 3 + i in Z[i].
2.& Determine whether the polynomial& x[sup]4[/sup] - x[sup]3[/sup] - x + 2 is irreducible in Z[sub]3[/sub][x]. If not, factor the polynomial completely
3.& Let F be a field and let p(x) ∈ F[x]. Show that p(x) is irreducible if and only if < p(x)> is maximal.
4.& Consider the ring R = and let p ∈ R. Prove or give a counter example that < p> is prime implies is maximal?

At the end of the second day of the carnival some water was drained from the tank. the volume of water drained was 35.3 cubic feet. using your answer frm b detemine the height in feet of the water remaing in the tank after the water was drained. radius= 3 feet hieght is 5 feet but filled with 4 feet water answer from b is 75.3 cubic feet.

Using numbers 1 through 8 only once, get the same sum using 4 different combinations.

2X^2 + 3X - 6 + X^2 - 18X + 6
instruction say for all X
I can not make it match any of the multiple choice answers

Square root of 11 + 5i in polar form with r greater than or equal to 0 and theta in the interval 0 less than or equal to theta less than or equal to 2 pie and rounded to the nearest thousandth.