Cosmic Contraptions

(a) The Friedmann equations describing our universe at large scales are 12(??(?)??)2−4???(?)3?2(?)=−??22ℓ2 and ???(?(?)?3(?))=−?(?)????3(?) for the scale factor ?(?). Explain the meaning of the quantities ?, ℓ, ?, and ? in these equations.

(b) Suppose that the scale factor ?(?)=?0?1/2. If ?=0, find the dependence of ? and ? on ?. What cosmic era does this correspond to?

(c) A theorist comes up with a theory of dark matter that indicates the equation of state of the dark matter is ?=79?. Find the time-dependence of ?(?) and ?(?), assuming ?=0. [2] (d) Which process dominates early times (small ?) -- the one in part (b) or the one in part (c)? Why?

Draw a valid structure

(S,E)-2-(bromo(tert-butoxy)methyl)hex-2-en-4-yne-1,3-diol

Consider the reaction: P_​4 ​+ 6Cl_​2 ​-> 4PCl₃. a. How many grams of Cl_​2 are needed to react with 20.00 g. of P₄​? __________ b. You have 15.00 g. of P​₄ and 22.00 g. of Cl₂​, identify the limiting reactant and calculate the grams of PCl₃​ that can be produced as well as the grams of excess reactant remaining. LR _________ grams PCl_{​3 ___________} grams excess reactant ________ c. If the actual amount of PCl₃ ​recovered is 16.25 g., what is the percent yield? ________ d. Given 28.00 g. of P₄ and 106.30 g. of Cl₂​, identify th limiting reactant and calculate how many grams of excess reactant will remain after the reaction. LR _________ grams excess reactant _________

Exercise 3-2 Prepare T-Accounts [LO3-2, LO3-4]

Jurvin Enterprises recorded the following transactions for the just completed month. The company had no beginning inventories.

$75,800 in raw materials were purchased for cash.

$71,600 in raw materials were used in production. Of this amount, $65,900 was for direct materials and the remainder was for indirect materials.

Total labor wages of $151,500 were incurred and paid. Of this amount, $133,200 was for direct labor and the remainder was for indirect labor.

Additional manufacturing overhead costs of $125,000 were incurred and paid.

Manufacturing overhead of $128,000 was applied to production using the company’s predetermined overhead rate.

All of the jobs in process at the end of the month were completed.

All of the completed jobs were shipped to customers.

Any underapplied or overapplied overhead for the period was closed to Cost of Goods Sold.

Required:

Post the above transactions to T-accounts.

Determine the adjusted cost of goods sold for the period.

Choose the most likely pattern for the crystal field diagram for the complex trans–[Ni(NH₃)₂(CN)₄]^2– where CN^– produces a much stronger crystal field than does NH₃.?

From the answer the pattern show it is a square planer. Could anyone explain it? why is not octahedral?

Which of the following are the shortcomings of a code of ethics formulated by “professional engineering society”? (1) These codes are not formulated with sincere scholarship or expertise and are often a hostage to economic interests. (2) Most practicing engineers do not belong to any professional engineering society, so the codes cannot properly reach out to them. (3) Such codes, at best represent the highest ethical common denominator among those to who it applies, therefore, it may include provisions which may be ethically questionable (4) These codes are not exhaustive – and there are matters of ethical importance that may go unnoticed

(a) 1 and 2

(b) 1, 2, 3 and 4

(c) 2, 3 and 4

(d) 2 and 3

For the following matrices, first find a basis for the column space of the matrix. Then use the Gram-Schmidt process to find an orthogonal basis for the column space. Finally, scale the vectors of the orthogonal basis to find an orthonormal basis for the column space.

(a) [1 1 1, 1 0 2, 3 1 0, 0 0 4 ] b) [?1 6 6, 3 ?8 3, 1 ?2 6, 1 ?4 ?3 ]

Imagine you work for Company Xtreme, and you are interested in seeing how consumer brand loyalty influences how much consumers spend weekly on their products. 25 customers completed a survey in which participants were asked to indicate “To what extent do you agree with the following statement: I consider myself to be brand loyal to Company Xtreme” (1 = Strongly Disagree to 7 = Strongly Agree). Additionally, you asked participants to “please write down how much you spend weekly on Company Xtreme products”. The results of the survey are listed in the table below:

1. Calculate the simple regression equation that predicts average weekly expenditures based on participant's brand loyalty scores. Then, predict the average weekly expenditures of an individual with a brand loyalty score of 4.

Write a function that receives a StaticArray and sorts its content in non-descending order. Sorting must be done ‘in place’, meaning the original input array will be modified. You may assume that the input array will contain at least one element and that values stored in the array are all of the same type (either all numbers, or strings, or custom objects, but never a mix of those). You do not need to write checks for these conditions. You can implement any sort method of your choice. Sorting does not have to be very efficient or fast, a simple insertion or bubble sort will suffice. Duplicates in the original array can be placed in any relative order in the sorted array (in other words, your sort does not have to be ‘stable’).

**PYTHON ONLY and no built in python data structures allowed

Example #1:

test_cases = (
[1, 10, 2, 20, 3, 30, 4, 40, 5],
['zebra2', 'apple', 'tomato', 'apple', 'zebra1'], [(1, 1), (20, 1), (1, 20), (2, 20)]

  )
  for case in test_cases:

arr = StaticArray(len(case)) for i, value in enumerate(case):

arr[i] = value print(arr)

      sa_sort(arr)
      print(arr)

Output:

  STAT_ARR Size: 9 [1, 10, 2, 20, 3, 30, 4, 40, 5]
  STAT_ARR Size: 9 [1, 2, 3, 4, 5, 10, 20, 30, 40]
  STAT_ARR Size: 5 ['zebra2', 'apple', 'tomato', 'apple', 'zebra1']
  STAT_ARR Size: 5 ['apple', 'apple', 'tomato', 'zebra1', 'zebra2']
  STAT_ARR Size: 4 [(1, 1), (20, 1), (1, 20), (2, 20)]
  STAT_ARR Size: 4 [(1, 1), (1, 20), (2, 20), (20, 1)]