Order the life cycle of very high-mass stars Nebula , protostar, red supergiant, supernova, average star and black hole ?

Prove that every set of n + 1 distinct integers chosen from {1,2,....2n} contains a pair of consecutive numbers and a pair whose sum is 2n + 1. For each n, exhibit two sets of size n to show that the above results are the best possible, i.e., sets of size n + 1 are necessary. Hint: Use pigeonholes (2i, 2i-1) and (i, 2n- i+1) for 1 i n. Quip Corporation wants to purchase a new machine for $290,000.Management predicts that the machine will produce sales of $198,000each year for the next 5 years. Expenses are expected to includedire Here is a sample of data: 6 7 8 5 7a) Determine the mean. Show your work (no spreadsheet).b) Determine the median. Show your work (no spreadsheet).c) Determine the mode. According to Department for Transport, there were an estimated 1,580 road deaths in the year ending June 2020 in the UK. The risk of dying in a road accident depends on many things including how often a person drives, where they drive, and their level of driving experience. a) Outline the main arguments in favour of using contingent valuation to place a monetary value on the reduction of road accident fatalities. What are the difficulties that may be (13 marks) encountered when doing so? b) Explain the concept of the Value of Statistical Life and how it might be used in policymaking (12 marks) applied to preventing road traffic accidents. Solve 2022 following LP using M-method [10M] Maximize z=x + 5xSubject to 3x + 4x 6 x + 3x 2, x1, x 0. why did your blank have to contain po4 buffer and chloroplasts If X,Y are two variables that have a joint normal distribution, expected values 10 and 20, and with variances 2 and 3, respectively. The correlation between both is -0.85.1. Write the density of the joint distribution.2. Find P(X > 12).3. Find P(Y < 18|X = 11). Give 3 arguments in support of globalization and 2 areas of concern due to globalization please give clear examples for each argument The strain in an axial member of a square cross-section is given by NS where, F-axial force in the member, N, h = length of the cross-section, m E-Young's modules, Pa. D. Given, F = 90 +0.5 N, h = 6+0.2 mm and E = 80+ 2.0 GPA, Find the maximum possible error in the measured strain. (5 marks] Write a short note on functional teams. please use your ownwords. Which of the following statements best define joint products?Question content area bottomPart 1A. When a joint production process yields two or more products with high total sales values relative to the total sales values of other products, those products are called joint products.B. Product of a joint production process that have the same sales value compared with the total sales value of the byproducts is called a joint product.C. When one product has a high total sales value compared with the total sales value of other products of the process, that product is called a joint product.D. When one product has a low total sales value compared with the total sales value of other products of the process, that product is called a joint product. -What online shopping companies (e-commerce) take intoconsideration when looking at cultural/country differences? you usually dont insert rows into a table through a view because The table below includes three (3) possible models for predicting the occupancy (presence) of domestic cats (Felis catus) in a fragmented landscape. The output includes means and standard error of means for each variable. Model AICC i wi 1 335.48 2 336.74 3 343.04 Where: Model 1 is: number of human dwellings (mean = 3.55, SE = 0.15); size of forest patches (mean = 0.25, SE = 0.05); and density of small mammals (mean = 1.44, SE = 0.46) Model 2 is: number of human dwellings (mean = 3.10, SE = 0.96); and size of forest patches (mean = 0.15, SE = 0.18) Model 3 is: number of human dwellings (mean = 2.45, SE = 0.94) Using the information-theoretic approach, complete the columns, i and wi , in the table above and complete any other calculations needed. Then, provide an explanation for which model(s) is(are) the best at predicting domestic cat presence. (8 pts) Verify that the inverse of A is (A-')?. Hint: Use the multiplication rule for tranposes, (CD)? = DCT. Let the region R be the area enclosed by the function f(z) = ln (z) and g(x)=z-2. Write an integral in terms of z and also an integral in terms of y that would represent the area of the region R. If n Please answer asap I need this turned in within the next 30 minutes. What aspects of government did the United States adopt from ancient Greece? Write your response in two to three complete sentences. In your response, include at least two ways Ancient Greece influenced the United States. Give the domain of the following function in interval notation.g(x)=x^2-5Thanks. Assume you have decided to buy a new house in Malibu that costs $922,000 (a bargain for that community). You want to get a conforming mortgage. Assuming no points, how much cash do you need to bring to the closing. Also, assume there are no other fees. The next 7 questions will work with this situation. How much is the mortgage for? [from the prior: Assume you have decided to buy a new house in Malibu that costs $922.000 (a bargain for that community). You want to get a conforming mortgage.] Staying with that same mortgage situation, your mortgage broker has offered you a couple of differing mortgage products. For now, let's work with mortgage A: a 30-year fixed-rate mortgage with a 6% rate and no points. What is the monthly payment? For this fixed-rate mortgage with no points (Mortgage A), what is the effective yield expressed in %? [From Prior Problem: For now, let's work with mortgage A: a 30-year fixed-rate mortgage with a 6% rate and no points.] Now, let's think about Mortgage B, a 30-year adjustable-rate mortgage with no points. Like the prior mortgage, it is a conforming mortgage. The interest rate offered is 5% and it resets after year 2 at 100 basis points over the 3-year Treasury. The annual rate increase is capped at 150 bps. What is the initial monthly payment? [From earlier: Assume you have decided to buy a new house in Malibu that costs $922,000 (a bargain for that community). You want to get a conforming mortgage.] How much do you owe on this mortgage on the two-year anniversary? On the second anniversary, the 3-year Treasury is trading at 5%. What is your new mortgage interest rate in %? Don't forget to include the impact of the cap if it is relevant. [From earlier: resets after year 2 at 100 basis points over the 3-year Treasury. The annual rate increase is capped at 150 bps.] Lastly, what is your new payment after the interest rate resets? Zaheer had a set of marbles which he 2 33 used to make a design. He used of the number of marbles and had 14 left. How many marbles did he use to make the design?