  Anonym 2021-08-14 Answered

### Define $$\displaystyle{S}={\left\lbrace{x}{\mid}{x}{b}\text{mod}{4}={3}\right\rbrace}$$ and $$\displaystyle{T}={\left\lbrace{y}{\mid}{y}{b}\text{mod}{2}={1}\right\rbrace}$$ Prove, S is a subset of T. Daniaal Sanchez 2021-08-14 Answered

### A graph G is said to be regular if every vertex has the same degree. If this degree is equal to k, then G is k-regular. For example, K4 is 3-regular. a) Draw a connected graph with exactly 5 vertices that is 3-regular, or explain why this is not possible. ossidianaZ 2021-08-14 Answered

### The following advanced exercise use a generalized ratio test to determine convergence of some series that arise in particular applications, including the ratio and root test, are not powerful enough to determine their convergence. The test states that if  $$\lim_{n \rightarrow \infty} \frac{a_{2 n}}{a_{n}}<1 / 2$$ then $$\sum a_{n}$$ converges,while if $$\lim_{n \rightarrow \infty} \frac{a_{2 n+1}}{a_{n}}>1 / 2$$, then $$\sum a_{n}$$  diverges. Let $$\displaystyle{a}_{{{n}}}={\frac{{{1}}}{{{1}+{x}}}}{\frac{{{2}}}{{{2}+{x}}}}\ldots{\frac{{{n}}}{{{n}+{x}}}}{\frac{{{1}}}{{{n}}}}={\frac{{{\left({n}-{1}\right)}!}}{{{\left({1}+{x}\right)}{\left({2}+{x}\right)}\ldots{\left({n}+{x}\right)}}}}$$. Show that $$a_{2 n}/a_{n} \leq e^{-x/2}/ 2$$  . For which x > 0 does the generalized ratio test imply convergence of $$\displaystyle{\sum_{{{n}={1}}}^{\infty}}{a}_{{{n}}}$$? Chardonnay Felix 2021-08-14 Answered

### Use the table to determine the total of the service charge. Sally Hudson's service charges: basic charge, 9 bills paid, lost card replacement, and 6 ATM transactions, 3 national and 3 out of network. $$\begin{array}{|l|c|} \hline \text { Online Banking Service } & \text { Service Charge } \\ \hline \text { Basic Monthly Charge } &  6.95 \\ \hline \text { Bill Payment-first 5 N/C } & 0.50 \\ \hline \text { Printed Statement } & 4.00 \\ \hline \text { Replace Lost Card } & 5.00 \\ \hline \text { Overdraft } & 25.00 \\ \hline \text { International Wire Transfer } & 20.00 \\ \hline {\text { ATM Transaction Charges }} \\ \hline \text { Local Network } & \text { N/C } \\ \hline \text { Regional Network } & 1.00 \\ \hline \text { National Network } & 2.00 \\ \hline \text { Out-of-Network } & 3.00 \\ \hline \text { Cash Advance }-2.00 \% \text { of } \text { Amt } &  10.00 \mathrm{Max} \\ \hline \end{array}$$ Albarellak 2021-08-14 Answered

### Find the summation for this: $$\displaystyle{\sum_{{{i}={1}}}^{{3}}}{\sum_{{{j}={3}}}^{{5}}}{i}=$$ UkusakazaL 2021-08-14 Answered

### Whats the type of the following function in discrete math& $$\displaystyle{f}:{\left\lbrace{1},{2},{3},{4}..\right\rbrace}\rightarrow{R}$$ f(x) = 1/x ruigE 2021-08-14 Answered

### Let f(n) be the largest prime divisor of n. Can it happen that x < y but f(x) > f(y)? Give an example or explain why it is possible. iohanetc 2021-08-14 Answered

### Prove that discrete math: 1) If $$a|b\ \text{and}\ a|c\ \text{then}\ a|(b^2 - 4c)$$ 2) If $$a|b\ \text{then}\ a^2|b^2$$ Braxton Pugh 2021-08-14 Answered

### A State University's Mathematics Department offers three courses: Calculus Linear Algebra, and Discrete Mathematics, and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections total, there are 5000 students who would like to take a course, and there are 60 teaching assistants to teach them. Sections of Calculus have 200 students each, sections of Discrete Mathematics have 100 students each, and sections of Linear Algebra have 50 students each. Calculus sections are taught by a team of 2 teaching assistants, while Discrete Mathematics and Linear Algebra need only 1 teaching assistant per section. How many sections of each course should the chair shedule in order to offer all the sections that they are allowed to, accommodate all of the students, and give one teaching assignment to each teaching assistant? a) The number of Calculus sections is $$\displaystyle{\left[{A}\right]}$$ b) The number of Linear Algebra sections is $$\displaystyle{\left[{B}\right]}$$ c) The number of Discrete Mathematics sections is $$\displaystyle{\left[{C}\right]}$$ BenoguigoliB 2021-08-13 Answered

### $$\displaystyle\text{Let}{U}={\left\lbrace{p},{q},{r},{s},{t}\right\rbrace},{D}={\left\lbrace{p},{r},{s},{t}\right\rbrace},{E}={\left\lbrace{q},{s}\right\rbrace},{F}={\left\lbrace{p},{r}\right\rbrace},{\quad\text{and}\quad}{G}={\left\lbrace{s}\right\rbrace}$$ Determine whether the statement is true or false. $$F \subset D$$ Clifland 2021-08-13 Answered

### Express the following in set-builder notation: a) The set A of natural numbers divisible by 3. b) The set B of pairs (a,b) of real numbers such that $$\displaystyle{a}+{b}$$ is an integer. c) The open interval $$\displaystyle{C}={\left(-{2},{2}\right)}$$. d) The set D of 20 element subsets of N. chillywilly12a 2021-08-13 Answered

### Discrete Math Question Consider the relation R on Z defined by the rule that $$\displaystyle{\left({a},{b}\right)}\in{R}$$ if and only if $$\displaystyle{a}+{2}{b}$$ is even. Briefly justify your responses to the following. a) Is this relation reflexive? b) Is this relation symmetric? c) Is this relation transitive? postillan4 2021-08-13 Answered

### Solve the following. a) Without using a truth table, verify that the argument form is valid. $$\displaystyle{p}\rightarrow{q}$$ $$\displaystyle{q}\rightarrow{r}$$ p $$\displaystyle\therefore{r}$$ b) Use quantifiers to write the statement "The square of every real number is positive. "Now, use quantifiers to negate the statement, and then determine whether the original statement or its negation is true. rocedwrp 2021-08-13 Answered

### If $$\displaystyle{x}_{{{1}}}={2},\ {x}_{{{n}}}={4}{X}_{{{\left({n}-{1}\right)}}}-{4}{n}\forall{n}\geq{2}.$$ Find the general term $$\displaystyle{x}{n}$$ FizeauV 2021-08-13 Answered

### Please Answer the following questions, Discrete mathematics Assume we have 15 different types of mobiles and 25 different types of books as gifts. We want to reward the best student with one of these gifts. How many choices do we have: 1) 40 2) C(25,15) 3) 375 4) P(25,15) York 2021-08-13 Answered

### In the treatment of critically ill patients, teamwork among health care professionals is essential. What is the level of collaboration between nurses and resident doctors working in the intensive care unit (ICU)? This was the question of interest in an article published in the Journal of Advanced Nursing (Vol. 67, 2011). Independent samples of 31 nurses and 46 resident doctors, all working in the ICU, completed the Baggs Collaboration and Satisfaction about Care Decisions survey. Responses to all questions were measured on a 7-point scale, where 1 = never and 7 = always. The data for the following two questions (simulated from information provided in the article) are listed above. a. Conduct a nonparametric test (at α=.05α=.05) to compare the response distributions for nurses and doctors on Question 4. Practically interpret the result. b. Conduct a nonparametric test (at α=.05α=.05) to compare the response distributions for nurses and doctors on Question 5. Practically interpret the result. Question 4: Physicians and nurses cooperate in making decisions. Nurses:1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 4 5 5 5 5 5 5 5 7 7 Doctors:1 1 1 1 1 1 1 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 Question 5: In making decisions, both nursing and medical concerns about patients' needs are considered. Nurses:1 1 2 2 2 2 3 3 3 3 33 3 3 3 4 4 4 4 4 4 5 5 5 5 5 5 5 5 6 6 7 Doctors:2 2 2 2 2 3 3 3 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 Maiclubk 2021-08-13 Answered

### Find a k such that the product of the first k primes, plus 1, is not prime, but has a prime factor larger than any of the first k primes. (There is no trick for solving this. You just have to try various possibilities!) ankarskogC 2021-08-13 Answered

### Which one of the following quantifiers and predicates expresses the following statement, "There is a student in this lecture who taken at least one course in Discrete Math."? a) $$\displaystyle\exists\ {x}\exists\ {y}{P}{\left({x},{y}\right)}$$ where $$\displaystyle{P}{\left({x},{y}\right)}$$ is "x has taken y," the domain for x consists of all student in this class, and the domain for y consists of all Discrete Math lectures. b) $$\displaystyle\exists\ {x}\exists\ {y}{P}{\left({x},{y}\right)}$$ where $$\displaystyle{P}{\left({x},{y}\right)}$$ is "x has taken y," the domain for x consists of all Discrete Maths lectures, and the domain for y consists of all student in this class. c) $$\displaystyle\forall\ {x}\forall\ {y}{P}{\left({x},{y}\right)}$$, where $$\displaystyle{P}{\left({x},{y}\right)}$$ is "x has taken y," the domain for x consists of all student in this class, and the domain for y consists of all Discrete Math lectures. d) $$\displaystyle\exists\ {x}\forall\ {y}{P}{\left({x},{y}\right)}$$, where $$\displaystyle{P}{\left({x},{y}\right)}$$ is "x has taken y," the domain for x consists of all student in this class, and the domain for y consists of all Discrete Math lectures. Haven 2021-08-12 Answered

### Is $$\displaystyle{2}\in{\left\lbrace{2}\right\rbrace}$$? mattgondek4 2021-08-12 Answered

### Let L be an SList. Define a recursive function Wham as follows. B. Suppose L = x. Then Wham(L) = x · x. R. Suppose L = (X, Y). Then Wham(L) = Wham(X) + Wham(Y). Evaluate Wham (2, 4), (7, 9) , showing all work.

Students pursuing advanced Math are constantly dealing with advanced Math equations that are mostly used in space engineering, programming, and construction of AI-based solutions that we can see daily as we are turning to automation that helps us to find the answers to our challenges. If it sounds overly complex, don’t let advanced math problems frighten you because these must be approached through the lens of advanced Math questions and answers. Regardless if you are dealing with simple equations or more complex ones, just break things down into several chunks as it will help you to find the answers.
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