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1. Solve the following for the indicated variable:
h = vt - 16t^2 for v
2. One angle in a triangle measures twice the smallest angle, whereas the largest angle is six times the smallest angle. Find the measures of all three angles.
The smallest of the angles is ___ degrees, the middle angle is __ degrees, and the largest is __ degrees.
3. The width of a rectangle is 6 inches less than the length. The perimeter is 40 inches. Find the length and the width.
The length is __ inches and the width is __ inches.
where R (the resistance) and C (the capacitance) are constants. If the voltage V across a certain capacitor with capacitance C = 3 x 10-6 farads drops from 10 volts to 1 volt in two seconds, determine the resistance R.
Select and discuss two examples of real life objects that incorporate the parabolic shape. Explain why the parabolic shape was used for the objects.
a semicircular plate 14 feet in diameter sticks straight down into fresh water with the diameter along the surface. Find the force of the water on side of the plate. The weight-density of water is 62.4 lb/ft^3.
Write the arithmetic sequence that has four arithmetic means between -20 and 20?
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).
Once the largest element has been determined, the leaf with this label is relabeled by -∞, which is defined to be less than every element.
What distinctives should a Christian business epouse when considering outsourcing manufactoring and product development? How could a christian business use outsourcing to help support poor nations and economies, global missions, and evangelism?
Find a linear function that fits the data for professional athletes in 1991 the salary was $278,000 and in 2001 the salary was $1,460,000.
Lisa participated in a triathlon in which she swam 3 miles ran 5 miles and then bicycled 10 miles. Lisa ran twice as fast as she swam and she cycled three times as fast as she swam.
A boat is headed across a river with a velocity relative to water) that can be represented as (6.5 + 1.7) mi/h. The velocity of the river current can be represented as (- 1.1 - 4.3j) mi/h. Express the resultant velocity of the boat in polar from.
Q1. What key factors of a business situation indicate the need for simulation (versus the other modeling techniques covered in the course). Q2. What is Monte Carlo Simulation? Where do the name come from? What does it consist of?
At a price of $1.90 per bushel, the annual U.S. supply and demand for barley are 410 million bushels and 455 million bushels, respectively. When the price rises to $2.70 per bushel
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