Homework Answers
Solution (7) We have 2x+64=146
So, 2x=146-64=82
Then, x=41
(10) 8th term in the sequence 55n-95 is
55×8-95 = 345
(14) Next term of the geometric sequence is
= current term × ratio = 36×22= 792
(16) First two terms of a Fibonacci sequence are 28 and 84, so the next term will be 28+84= 112.
(18) In a tree with n vertices, we must have n-1 edges. So a graph with 74 vertices will be a tree if all the vertices are connected by 74-1=73 edges.
(27) True
(28) True
(30) True
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Question 7 2.38 Points Solve the equation 2x+64=146. Calculate your answer to the nearest whole number....
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Question 3 2.38 Points If a graph has 36 points and 32 edges, then how many...
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Question 11 2.38 Points A person receives a raise of 26% it is worth $49. Calculate...
Question 11 2.38 Points A person receives a raise of 26% it is worth $49. Calculate how many dollars the raise is a percentage of. Round to the nearest cent. Do not put the $ in your answer or any units. Only put the number value for your answer. Add your answer Question 12 2.38 Points A business serves 29 customers with 63 staff to maintain a strong ratio of staff to guests. How staff members would be needed if...
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Discrete Math: Please help with all parts of question 5. I have included problem 3 to...
Discrete Math: Please help with all parts of question
5. I have included problem 3 to help answer part (a) but
I only need help with question 5!
5.
3.
(a) (4 points) Prove that a graph is bipartite if and only if there is a 2-coloring (see problem 3) of its vertices. (b) (4 points) Prove that if a graph is a tree with at least two vertices, then there is a 2-coloring of its vertices. (Hint: Here are...
Question 9 2.38 Points Calculate the GPA to two decimals places for the following grades; A-6...
Question 9 2.38 Points Calculate the GPA to two decimals places for the following grades; A-6 B-4 C-2 D-4 F-2 Add your answer
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Question 4t Write the correct integer values in the boxes. For this question, working is not required and will not be marked. This question is about the number of spanning trees of a graph. In a lecture we used complementary counting to calculate that the graph depicted at left has exactly eight spanning trees. By adding just one more edge to this graph we arrive at the complete graph K depicted at right. A spanning tree has -1 3 edges...
Discrete Math: Please help with all parts of question
5. I have included problem 3 to help answer part (a) but
I only need help with question 5!
5.
3.
(a) (4 points) Prove that a graph is bipartite if and only if there is a 2-coloring (see problem 3) of its vertices. (b) (4 points) Prove that if a graph is a tree with at least two vertices, then there is a 2-coloring of its vertices. (Hint: Here are...
Question 9 2.38 Points Calculate the GPA to two decimals places for the following grades; A-6 B-4 C-2 D-4 F-2 Add your answer
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