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How many different four-letter strings can be formed from the letters A, B, C, D, E (repeats allowed) if the first letter must be a consonant and the last letter must be a vowel?
The mass of Saturn is about 5.688 10^23 metric tons. The mass of the sun is about 1.998 x 10^27 metric tons. About how many times the mass of Saturn is the mass of the sun?
There are 8 strands of embroidery floss in a basket (all of different colors) and 11 different small pillows that could be embellished (with at most one strand of floss each). How many ways are there to embellish the pillows?
For each of the following recurrence relations, write out the first several terms of the sequence (at least five) and use this to find a closed form for the sequence. Then prove that each conjectured closed form is correct. (Is there a flashing si..
The mission and vision statements drive the outcomes of an NPO or NGO and generally involve social change or public service. For this reason, the daily operations of NPOs and NGOs aim at social goals rather than the accumulation of wealth. These o..
Solve the given triangle.
We live in a very complex and culturally diverse society. When we bring individuals together from diverse backgrounds in a work environment conflict can arise when expectations are not realized or met. Rather than hoping conflict will go away, thi..
Explain how you would conduct the survey. What are the ethical implications if the manufacturer of Brand A toothpaste asked you to survey only its employees?
Each edge of the complete graph with 11 vertices is colored either red or blue. We then look at the graph consisting of all the red edges, and the graph consisting of all the blue edges. Prove that at least one of these two graphs is NOT planar..
Choose a company and conduct research to identify at least three corporate-level strategies it utilizes. Provide your analysis and recommendations as to the effectiveness of these strategies and your recommendation if this strategy should be conti..
Find symmetric equations for the line through the points p (1, 1, -3) and Q (2,-1,1). Find an equation for the plane through P (2, 0, 1) and parallel to the line x = 3t, y = 2 - t, z = 3 + 4t.
Construct examples showing that every possible connectivity number occurs (for graphs regular of degree 3):(Kappa) = 0, 1, 2, 3. Kappa = connectivity
The grades of 22 students are listed below. Use the stem & leaf to determine the shape of the distribution.
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