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Problem1)
What is the number of ways to color n objects with 3 colors if every color must be used at least once?
problem2)
prove that for any three sets A,B,C ;((AB) U (BA))^ C = ((A^C) U (B^C)) (A^B^C) ^ means intersection
Do the equations x = 4y + 1 and x = 4y - 1 have the same solution? How might you explain your answer to someone who has not learned algebra? Show your work and provide a reference.
Identify the important characteristics of an exponential function. Explain the difference between the graph of an exponential growth function and an exponential decay function and give an example of each type of function.
Finding the slope
Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. How many of each bill does Anna have?
By choosing specific nonzero values of z1 and z2, show that expression "log(z1/z2) = log z1 - log z2" , for log (z1/z2) is not always valid when log is replaced by Log.
The color guard is making new triangular flags that must have a base of 18 inches to fit on their flagpoles. What is the maximum length of the triangular flags, if they want to use a maximum of 180 in^2 of cloth?
Simplify the following inequality
In each case, determine whether or not the given set is linearly independent and compute the dimension of the linear subspace spanned by the set.
Find and label the vertex and the line of symmetry. Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).
Fundamental theorem of calculus.
Two cars leave a restaurant at the same time and travel in opposite directions. One averages 50 miles per hour and the other averages 40 miles per hour. After how long will they be 216 miles apart?
Find the average cost per animal for 10 animals, 100 animals, and 1,000 animals. As the number of animals tested increases, what happens to the average cost to test the animals? How do you know this?
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