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What is the vertex of a parabola? How do you determine the vertex of the parabola? Demonstrate with an example.
a building 270 feet tall casts a 70 foot long shadow. if a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the persons eyes to the top of the building (assume 5 feet above ground)
An access ramp rises 3.2 ft over a distance of 30 ft. What is the average angle of the ramp with the horizontal?
What route will take the least amount of time?
What computer applications can be used to graph systems of equations? Have you ever personally used any applications to graph an equation?
Suppose that 8 female and 7 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 15 finalists, what is the probability of selecting
Determine the expected value of X
Prove that there is a positive integer that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive?
Suppose A(3,-1,0) and B(-4,-2,3) are 2 points in 3-space. Find a vector with the following three characteristics: initial point at the origin, collinear but in the opposite direction of vector AB , length 3
Determine the steady-state probabilities for this transition matrix algebraically and explain what they mean.
Where t is the number of years after January 1, 1998 and C(t) is the number of conncections in millions.
Paola purchased an office building on January 5, 2009, for $450,000. $30,000 of the price was for the land. On September 25, 2011, he sold the office building. What is the cost recovery deduction for 2011 rounded to the nearest dollar?
Modify the Euclidean algorithm to find the greatest common divisor of 2x^3 + x^2 - 2x - 1 and x^2 + 3x + 2. This requires long division with polynomials.
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