Are the numbers and a pythagorean triple justify your answer show all work

ou’ll be using the same 4 numbers written in the same order. The only thing that will change in each expression will be the tools you’ll use from your toolbox. The tools that you’ve learned so far for order of operations are parentheses, exponents, multiplying, dividing, adding, and subtracting. Here are the four numbers. Keep them in this order: 18 2 4 3 Here are the tools in your toolbox: The 2 and 3 represent exponents, so you are allowed to square or cube a number. Listed below are the values you need to create. 21 = 67 = -6 = 103 =

and in the decimal system. How many digits are there in these two numbers all together? C.1379. Alex and Burt took their rabbits to a whole salesman to sell them to him at once. Each of them got as many dollars for each of their rabbits as many as the rabbits they each took to him. But, because their rabbits were so beautiful, they each got as many extra dollars for their rabbits from the salesman as many as the rabbits they each sold him. This way Alex received $202 more than Burt. How many rabbits did they each sell to the salesman? C.1380. How many {a, b, c} sets are there containing three positive whole elements, where the product of a, b, and c is 2310? C.1381. Let a, b, c, and d be different digits. Find their values so that the following sum has the least possible number of divisors, but the sum itself is the greatest possible. C.1382. Fill in a 25×25 grid by using the numbers +1 and -1. Create the products of the 25 numbers in each column and in each row. Could the sum of these 50 numbers be: a) 0 b) 10 c) 17? C.1383. Is there such a triangle in which the heights are 1, 2, and 3 units long? C.1384. You put a plain on each side of a regular, square-based pyramid. How many sections do these 5 planes divide the space?

numbers are 1, 3, 4, 5, 6, and 9. Find all possible sets of the four numbers.

numbers are 1, 3, 4, 5, 6, and 9. Find all possible sets of the four numbers.

numbers between 0 and 1.

l letters and numbers are equally likely, how many student IDs are possible? my questions asap

ies examined in class. This paper is not a literature review, though a literature review is part of your work. As this course takes place in a compressed timeline, I provided some suggestions for research topics. Feel free to use one of these as a springboard or propose your own. At the end of the second week of class, students submit a three-page research paper prospectus. A research prospectus is a preliminary plan for conducting a study. This is not a detailed and technical research proposal, but rather, an analysis of the issues likely confronted in such a study. In essence, it is a preliminary proposal of work. Research Paper Prospectus Elements To complete the Research Paper Prospectus, consider the following elements. While the prospectus is limited to three pages of body content, remember, students must cover each of these areas as relevant to the plan for research: Research Problem. What is the research problem? A problem is a situation when left untreated, produces a negative consequence for a group, an institution, or a(n) individual(s). What makes it a problem? For whom? Who says so? Assumptions. On what assumptions is the work based? Which assumptions are verifiable in literature? Which assumptions are speculative? Theoretical Issues. What theoretical issues arise from the study? For example, "theoretically," how is the problem and suspected results explained to other scholars? Is there a behavior view? A social systems view? Are there other theoretical orientations to consider in the study's design? Literature Review. What, in general, does the literature say about the topic? While more development is expected for the final paper, a review of major theories, research, and writers in the field is needed. Research Questions. Based on the problem, what are the research questions to be answered? How and why will answering the questions contribute to solving the research problem? Remember....a research question can only be answered with empirical data or information. General Research Plan. In general, what research is necessary to answer the research question. What kind of data is needed? Specify the type, such as surveys, observations, or interviews. Who is to be studied and why? How is the data reduced and made sense of? How is the quality of the data assured? Anticipated Difficulties and Pitfalls. What kind of difficulties and pitfalls are expected in a study of this nature? What can be done to prevent them or minimize their effects? Anticipated Benefits. Who will benefit from the fact this research is undertaken? How? Why? Who might be disturbed by this proposed study? How? Why? Paper Format Requirements The Research Paper Prospectus is presented in standard APA 7 format, with a cover page, running head, body, and references list. The cover page and references do not count toward the three-page requirement. The body uses headers and in-text citations in the manner prescribed by APA. Students should include any references they know at the time they submit the prospectus, though it is expected the references may change or increase in number. Full and complete adherence to APA is required. APA Basics As APA format is the rule, remember the formatting rules shown on the Sample Paper (Links to an external site.): Times New Roman, 12pt 1" margins on all sides Double spaced, with extra line spaces removed (see below) Page numbers in the upper right Two spaces after concluding punctuation 150-250 word abstract with keywords APA-style in-text citations and quote format. Use the Purdue OWL in-text citation information (Links to an external site.)to help you. Alphabetical (by author) reference page with correct reference format. DO NOT trust the reference generator in your word processing program. It is WRONG! Use the Purdue OWL references information (Links to an external site.)to correctly structure references and do so manually.

eople experienced a group-based behavioral intervention, which involved weekly meetings with a trained interventionist for a period of six months. The following data are the numbers of pounds lost for 14 people, based on means and standard deviations given in the article. Assume the population is approximately normal. Perform a hypothesis test to determine whether the mean weight loss is greater than 20 pounds. Use the =α0.10 level of significance and the critical value method. 22.5 28.5 7.6 24.1 21.5 12.9 17.3 21.2 37.6 33.8 12.1 36.3 24.1 19.4

tests, probability distributions, regression/correlation and categorical data analysis will all be covered) We are going to be given a variety of questions. I am having doubt in computing the correct numbers on excel. Eg: I'll be 1-2 decimal places behind. I am attaching a formula sheet.

s of any 2" value. For example, as shown in Table 3-5, the values of the three low-order bits are reflected over a line drawn between 7 and 8. Using this property of the Gray code, obtain: a. The Gray code numbers for 16 through 31 as a continuation of Table 3-5. b. The excess-3 Gray code for decimals 10 to 19 as a continuation of the list in Table 3-6.

d 745 O 128 and 3 (All numbers are square roots)

List ALL the possible combinations of length and width in a table. You want to enclose the field for a dog pen. You have only enough money to buy 50 feet or less of fencing. Complete your table with this information. Which possibility (or possibilities) of length and width will fit your budget?

etween. * A B D 3. Which shows the following numbers in order from least to greatest? * B C D 4. Which is the best name for this group of numbers? * A B D 5. Which point on the number line best represents √3? * A B C For question 6 and 7, write each number in either scientific notation or standard notation. 6. The diameter of Mercury is 4879 kilometers. * 7. The diameter of a bacterial cell called a mycoplasma is about 2 x 10-7 meter. * 8. In which group are the numbers in order from greatest to least? * B C D 9. Greg found the length of a hypotenuse of a right triangle to be √90 feet. Between which two integers does √90 lie? * A B C 10. Which is the best name for this group of numbers? * A C D 11. The water levels of five Texas lakes were measured on the same day in 2010. The table below shows the number of feet above or below normal level for each lake. Which list shows the numbers in the table from greatest to least? * B C D 12. Which numbers from this list are less than -0.94? * B C D 13. The length of a micrometer is approximately 0.00003937 inch. How would you express this in scientific notation? * A B C 14. The National Park Service manages approximately 84,000,000 acres of federal land. How would you express this number using scientific notation? * B C D 15. Seismosaurus is the longest known dinosaur. It measured 1800 inches. How far would 3000 Seismosaurus dinosaurs span if they were placed head to tail? Write your answer in scientific notation. *

de by credit card; you think this is true at your store as well. On a typical day you make 20 sales. Show that this situation can be modeled by a binomial distribution. For credit, you must discuss each of the criteria required for a binomial experiment. Define the random variable x in this scenario, using the context of the problem. List all possible values of x for this situation. On one trial for this scenario, what does “success” mean? Explain using the words of the problem. What is the probability of success in this scenario? What is the probability of failure in this scenario? Probability Distribution Instructions¬¬¬¬ In Excel, create a probability distribution for this scenario. Label Column A as “x” and Column B as “P(x).” In Column A, list the numbers 0 to 15. In Column B, use BINOM.DIST.RANGE to calculate the probability for each x value. Highlight the probability cells, then right click and select Format Cells. Format the probability cells as “Number” and have Excel show 4 decimal places. Create a probability histogram using the probabilities you calculated. Format and label it properly. Be sure to use the “Select Data” button to change the x-axis so it correctly lists the x-values.

uminum and steel. The company has available 38 comma 160 units of steel and 48 comma 380 units of aluminum. The​ 1-, 3-, and​ 10-speed models​ need, respectively, 8​, 12 and 16 units of steel and 15​, 10​, and 20 units of aluminum. The company makes ​$4 per​ 1-speed bike, ​$6 per​ 3-speed, and ​$16 per​ 10-speed. Use the simplex method to complete parts​ (a) and​ (b). ​(a) How many of each type of bicycle should be made in order to maximize​ profit? What is the maximum​ profit? Set up the linear programming problem. Let x 1​, x 2​, and x 3 represent the numbers of​ 1-, 3-, and​ 10-speed bicycles,​ respectively, and let z be the total profit. ▼ Minimize Maximize zequals nothing subject to 8 x 1 plus 12 x 2 plus 16 x 3 ▼ greater than less than or equals greater than or equals less than nothing 15 x 1 plus 10 x 2 plus 20 x 3 ▼ greater than less than or equals less than greater than or equals nothing x 1greater than or equals​0, x 2greater than or equals​0, x 3greater than or equals0. ​(Do not factor. Do not include the​ $ symbol in your​ answers.) Set up the initial simplex tableau and use the Simplex Method to solve. The maximum profit is ​$ nothing. To get that​ profit, the company should make nothing ​1-speed bicycle(s), nothing ​3-speed bicycle(s), and nothing ​10-speed bicycle(s). ​(Type whole​ numbers.) ​(b) Explain what the values of the slack variables in the optimal solution mean in the context of the problem. Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice. A. When the profit is​ maximized, all of the steel is used but nothing units of aluminum remain unused. ​(Type a whole​ number.) B. When the profit is​ maximized, some of each material remains unused.​ Specifically, nothing units of aluminum and nothing units of steel remain unused. ​(Type whole​ numbers.) C. When the profit is​ maximized, all of the available aluminum and steel is used. D. When the profit is​ maximized, all of the aluminum is used but nothing units of steel remain unused. ​(Type a whole​ number.)

lve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax. Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point. Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number. Let f be a twice-differentiable function such that f′(2)=0 . The second derivative of f is given by f′′(x)=x2e2−x−1 for 0≤x≤6 . (a) On what open intervals contained in 0 View More

AP Math