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Write the optimal solution in the word document, and explain whether the condition set by the company's finance department has been satisfied.
After how long (from launch) does the rocket crash on to the launch pad? Give your answer in seconds, correct to one decimal place.
Sophie has been saving money at a regular rate and noticed that x months after her 15th birthday, she had saved a total of 20x + 244 dollars.
The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50.
If you need to buy 6 chairs additionally for the table and have a $2000 budget, what is the highest price you can pay for a chair?
Brenda's age is 3 times Layton's age. In 4 years, she will be twice as old as Layton by then. What are their present ages?
Find an equation of the line passing through the pair of points. Write the equation in slope intercept form.
The X variable is the number of errors on a math test, and the Y variable is the person's level of satisfaction with his/her performance.
Find the equation of the line that has a slope of -3 and passes through (2, -5). Write the equation in slope-intercept form.
Which of the following sets of polynomials n K[x], K commutative are K-modules:(a) all polynomials of degree exactly.
Find both the minimum and maximum values of U=6x1+10x2+7 (graphically) subject to the constrains 2x1+5x2=0, and x2>=0
Find the point of equilibrium for a system that has a demand equation of p=49-0.0003X and a supply equation of p=33+0.00002X
You want to make a statement about the variability in the costs of personnel shelters. After collecting sample data (cost in $K).
What effect would this have on the economy? If you decide not to eliminate pennies what can you do to keep minting costs lower?
For each intercept, show your algebra, then state the intercept using correct function notation and as an ordered pair.
Find an equation of the exponential function y=g(x) , whose graph passes through the 2 given points.
Determine whether the given function is linear or nonlinear? If the function is linear, determine the slope.
One parking garage offers unlimited parking at a flat rate per month. Another garage offers an hourly rate for parking.
To Emile, because he likes math problems, I leave a choice. He can have one of two inheritances. He must make his choice before leaving the office today.
Let phi be a homomorphism of a ring R with unity onto a nonzero ring R'. Let u be a unit in R. Show that phi (u) is a unit in R'.
Show that every maximal ideal of R is prime and if R is finite, show that every prime ideal is maximal.
If A is an ideal of R and S is a subring of R, then S+A is a subring, A, and (S intersecting A) are ideals of S+A and S.
Show that if U is the collection of all units in a ring with unity, then is a group. A reminder was given to make sure to show that U is closed
Let p be a prime. Show that in the ring Z-p (set of integers modulo p) we have (a+b)^p = a^p+b^p for all a, b in Z-p.
If phi: R1 -> R2 is a ring isomorphism, show that phi extends to an isomorphism phi hat : F1 -> F2.