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....
A Hamiltonian Cycle is any loop within a graph. A True False Question 25 2.38 Points...
A Hamiltonian Cycle is any loop within a graph. A True False Question 25 2.38 Points A loop is a graph with n vertices connected with n-1 edges. True B False 2.38 Points Question 26 A minimum spanning tree is a loop. I E True B False
Question 3 2.38 Points If a graph has 36 points and 32 edges, then how many...
Question 3 2.38 Points If a graph has 36 points and 32 edges, then how many edges will be used to make it a tree? Add your answer Question 4 2.38 Points Calculate the next term in the arithmetic sequence that increases by 26, if the current term is 82. Add your answer
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...
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...
Question 22 2.38 Points An election for favorite lunch snack is between Apples, Beets, and Carrots....
Question 22 2.38 Points An election for favorite lunch snack is between Apples, Beets, and Carrots. Students voted for their top three from best to least. The results are: ABC: 42 BCA: 20 CAB: 39 How many votes will A have in total after B is eliminated due to the Hare method? Add your answer Question 23 2.38 Points An Euler circuit only has even degree vertices. A True B False Question 31 2.38 Points 3 The expression Ek is...
Question 20 2.38 Points A car is advertised with a price of $37252. The payment plan...
Question 20 2.38 Points A car is advertised with a price of $37252. The payment plan to own a car is $369 per month for 4 years. What is the amount of interest paid? Round to the nearest dollar. Do not put the $ in your answer or any units. Only put the number value for your answer. Add your answer Question 21 2.38 Points A monthly salary is $2590. It is given an increase of 7.7%. After the first...
Question 42 2.38 Points Which choice does not have to start and end at the same...
Question 42 2.38 Points Which choice does not have to start and end at the same vertex? A) Traversable Network B) Euler Circuit C Loop D Hamiltonian Cycle Question 41 2.38 Points In Webster's method of apportionment standard quotas can be rounded? A only rounded up B) only rounded down can be rounded up or down Question 40 2.38 Points An election for team mascot is between Alphas, Bears and Cats. The number of votes for Alphas is 8. The...
Question 4t Write the correct integer values in the boxes. For this question, working is not required and will not be m...
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...
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
A Hamiltonian Cycle is any loop within a graph. A True False Question 25 2.38 Points A loop is a graph with n vertices connected with n-1 edges. True B False 2.38 Points Question 26 A minimum spanning tree is a loop. I E True B False
Question 3 2.38 Points If a graph has 36 points and 32 edges, then how many edges will be used to make it a tree? Add your answer Question 4 2.38 Points Calculate the next term in the arithmetic sequence that increases by 26, if the current term is 82. Add your answer
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...
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...
Question 22 2.38 Points An election for favorite lunch snack is between Apples, Beets, and Carrots. Students voted for their top three from best to least. The results are: ABC: 42 BCA: 20 CAB: 39 How many votes will A have in total after B is eliminated due to the Hare method? Add your answer Question 23 2.38 Points An Euler circuit only has even degree vertices. A True B False Question 31 2.38 Points 3 The expression Ek is...
Question 20 2.38 Points A car is advertised with a price of $37252. The payment plan to own a car is $369 per month for 4 years. What is the amount of interest paid? Round to the nearest dollar. Do not put the $ in your answer or any units. Only put the number value for your answer. Add your answer Question 21 2.38 Points A monthly salary is $2590. It is given an increase of 7.7%. After the first...
Question 42 2.38 Points Which choice does not have to start and end at the same vertex? A) Traversable Network B) Euler Circuit C Loop D Hamiltonian Cycle Question 41 2.38 Points In Webster's method of apportionment standard quotas can be rounded? A only rounded up B) only rounded down can be rounded up or down Question 40 2.38 Points An election for team mascot is between Alphas, Bears and Cats. The number of votes for Alphas is 8. The...
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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