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A pizza pan is removed at 5:00 pm from an oven whose temperature is fixed at 450 F into a room that is a constant 70 F. After 5 minutes, the pan is 300 F. At what time is the temperature of the pan 135 F? Determine the time that needs to elapse before the pan is 160 F. What do you notice about the temperature as time passes?
G is a finite group with elements a and b. Let the conjugacy classes of these elements be A and B respectively and suppose |A|^2, |B|^2
What is the common meaning of the word linear? The mathematical meaning? What is a linear equation? A non-linear equation?
Probability : Counting Principle, A social security number has 9 digits. How many different S.S numbers are possible if:
The perimeter of a triangle ABC is 54. If the triangle has side lengths AB=3x,BC=4x, and AC=5x, find the lengths of each side.
By looking at two linear equations, how can you tell that the corresponding lines are parallel, the same graph, or intersecting lines? How many solutions does each possibility have and why is that? Show examples for each possible situation.
The width of a rectangle is 1 foot less than the length. The area is 20 feet squared. Find the length and width.
Set up and solve using Management Scientist, Excel Solver, or an online LP solver. What are the values of X and Y at the optimal solution?
Repeat the procedure making a second graph for the third-order rational function (e.g., x3). For each of the two graphs, describe how changes in coefficients and constants change the behavior of the function.
Sketch the graph of the given function and evaluate the height of the cliff from the word problem.
Consider the polar point P(sqrt2, pi/4)
Direct Products of Groups, Conjugate Subgroups, Homomorphisms and Isomorphisms, Assume that K is a cyclic group, H is an arbitrary group and f1 and f2 are homomorphisms from K into Aut(H) such that f1(K) and f2(K) are conjugate subgroups of Aut(H)
Find the vertical asymptote and x-intercept for a given function - State the placement of the vertical asymptote and x-intercept after the transformation.
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