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Jayanta is raising money for the homeless and discovers each church group requires 2 hours of letter writing and 1 hour of follow-up calls, while each labor union needs 2 hours of letter writing and 3 hours of follow up. She can raise $150 from each church group and $175 from each union. She has a maximum of 16 hours of letter writing and 16 hours of follow-up available each month. Determine the most profitable mixture of groups she should contact and the most money she can raise in a month.
Distinguish between static and dynamic geometry problems. Use dynamic geometry software to create geometric objects. Use dynamic geometry software to reflect, rotate, and translate objects.
Graph the function and answer the question using graph - What is the significance of the vertical asymptote (what does it mean in this context)?
Given the linear equation, find the y-coordinates of the points (-9, ), (0, ), and (9, ). Please show all of your work. Plot those points and graph the linear equation.
Find the equation of the circle that has its center at the focus of the parabola X^2 - 4x + 6y - 20 = 0 and that is tangent to the parabola at its vertex. Also sketch both curves.
The probability that both defective lights will be found. A box contains two defective Christmas tree lights that have been inadvertently mixed with eight non-defective lights. If the lights are selected one at a time without replacement and teste..
The preferred seating area of a music theater has a base that measures 34 yd and a height of 39.6 yd. Find the area if the shape of the theater is
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
Probability: Working with the standard distribution curve. A company installs 5000 light bulbs, each with an average life of 500 hours and a standard deviation of 100 hours, and a distribution approximated by a normal curve
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
Let F be a finite field. Prove that F[x] contains infinitely many primes. (note that over an infinite field the polynomials of degree 1 are an infinite set of primes in the ring of polynomials).
What is/are the equation/s required to calculate dimensions and construction of a frustum shaped plate in its flat form before rolling into cone shape?
find an equation of the line passing throughout (-3,4) and parallel to the x-axis.
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