Bramble, Inc. prepared the following cash budget for the fourth quarter. Fill in the missing amounts, assuming that Bramble desires to maintain a $15,000 minimum monthly cash balance and all equipment was purchased during December. Any required borrowings and repayments must be made in even increments of $1,000. (Enter answers in necessary fields only. Leave other fields blank. Do not enter 0.)

The reaction 2H2O2(aq)→2H2O(l)+O2(g)2H2O2(aq)→2H2O(l)+O2(g) is first order in H2O2H2O2 and under certain conditions has a rate constant of 0.00752 s−1s−1 at 20.0 ∘C∘C. A reaction vessel initially contains 150.0 mLmL of 30.0% H2O2H2O2 by mass solution (the density of the solution is 1.11 g/mLg/mL). The gaseous oxygen is collected over water at 20.0 ∘C∘C as it forms.

What volume of O2O2 will form in 62.8 seconds at a barometric pressure of 773.0 mmHg . (The vapor pressure of water at this temperature is 17.5 mmHg)

Question: Describe two limitations, both actual and potential of “service efforts and accomplishments” (SEA) indicators, and describe how they might be overcome.

Your goal for this assignment is to create a tool that manages an equivalence relation that can be changed in a specific way by the program while the program runs. The assignment will involve creating two files, equiv.h and equiv.cpp.

For this assignment, the equivalence relation is always over a set of integers {1, 2, 3, …, n} for some positive integer n.

This tool is not a complete program. It is intended to be part of a larger program. File equiv.cpp must not contain a 'main' function.

Equiv.h will contain function prototypes, but it must not contain any full function definitions. (There must be no function bodies.) Equiv.cpp must contain line

  #include "equiv.h"

before any function definitions.

Interface

The interface tells exactly what this module provides for other modules to use. Other modules must not use anything that is not described here. Briefly, the interface includes a type, ER, which is the type of an equivalence relation, and the following functions.

  ER   newER(const int n);
  void destroyER(ER R);
  bool equivalent(ER R, const int x, const int y);
  void merge(ER R, const int x, const int y);

Additionally, there is one function that is solely for debugging.

  void showER(const ER R, const int n);

There is one more function that is part of the implementation but not part of the interface. You can use it for debugging, though.

  int  leader(ER R, const int x);

A module that uses this tool can create an equivalence relation called R by saying

  ER R = newER(n);

where n is a positive integer. Initially, each number is in its own equivalence class; the equivalence classes are {1}, {2}, …, {n}. There are two operations that can be performed.

1. equivalent(R, x, y) returns a boolean value: true if x and y are currently in the same equivalence class in equivalence relation R, and false otherwise.

2. merge(R, x, y) modifies equivalence relation R by making x and y equivalent. It combines the equivalence class that contains x with the equivalence class that contains y. The merge function does not return an answer.

Example

For example, suppose that n = 7. The following shows a sequence of operations and shows the equivalence classes after each merge operation.

As you can see from the last step, it is allowed to merge two values that are already equivalent. That should cause no change.

An Algorithm for Managing an Equivalence Relation

You will not store the equivalence classes directly. Instead, you will store them implicitly, using the following ideas.  You are required to implement an equivalence manager in this way. You will receive no credit for a module that does not follow this algorithm.

1. Each equivalence class has a leader, which is one of the members of that equivalence class. You will create a function leader(R, x) that returns the current leader of the equivalence class that contains x in equivalence relation R.

   Two values are equivalent if they have the same leader.

2. There is another idea that is similar to a leader, but not exactly the same. Each value has a boss, which is a value in its equivalence class. For the purposes of describing the idea, let's write boss[x] for x's boss.

   1. If x is the leader of its equivalence class then boss[x] = 0, indicating that x has no boss.

   2. If x is not the leader of its equivalence class then boss[x] ≠ 0 and boss[x] is closer to the leader, in the following sense. If you look at the values x, boss[x], boss[boss[x]], boss[boss[boss[x]]], … then you will eventually encounter x's leader (just before you encounter 0).

Details on the algorithm

Use an array to store the bosses. Declaration

  typedef int* ER;

defines type ER to be the same as int*. Write the following functions.

1. newER(n) returns an equivalence relation as an array of n+1 integers. Allocate the array in the heap. This array will be used to store the bosses. If R has type ER then R[x] is x's boss.

   In C++, arrays start at index 0. You will use indices 1, … n, so you need to allocate n+1 slots. (Index 0 will not be used.)

   Initialize the array so that each value is a leader of its own equivalence class. That is, R[x] = 0 for x = 1, …, n.

2. leader(R, x) returns the leader of x in equivalence relation R. To compute x's leader, just follow the bosses up to the leader. Here is a sketch of a loop that finds the leader of x.

     y = x
     while(boss[y] != 0)
       y = boss[y]
     return y
   

   You can use a loop or recursion the leader function. Any function that wants to compute a leader must use the leader function to do that.

3. equivalent(R, x, y) returns true if x and y have the same leader in R. Notice that is not the same as saying that they have the same boss.

4. merge(R, x, y) merges the equivalence classes of x and y in R as follows. First, it finds the leaders x′ and y′ of x and y. If x′ and y′ are different (so x and y are not already in the same equivalence class) then y′ becomes the new boss of x′ and y′ becomes the leader of the combined equivalence class.

5. destroyER(R) deallocates R.

6. showER(R, n) prints the entire contents of array R (of size n) in a readable form for debugging. Be sure that showER shows both k and k's boss, for each k.

   Do not try to be too fancy here. Do not try to show the equivalence classes. ShowER is a debugging tool, and it should show the bosses.

Additional Requirements

It is important for you to follow the algorithms and design described here. Do not make up your own algorithm. Implement exactly the functions that are indicated. Keep the parameter order as shown here. If you change the parameter order, your module will not compile correctly with my tester. Do not add extra responsibilities to functions.

The definition of ER must only be in equiv.h. Do not duplicate that definition in equiv.cpp.

A Refinement Plan

#include "equiv.h"

// CSCI 2530
// Assignment: 3
// Author:     ***
// File:       equiv.h
// Tab stops:  none

// These #ifndef and #define lines make it so that, if this file is
// read more than once by the compiler, its body is skipped on all
// but the first time it is read.

#ifndef EQUIV_H
#define EQUIV_H

// An equivalence relation is an array of integers.
// So ER abbreviates int*.  

typedef int* ER;

// Public function prototypes

ER   newER      (const int n);
void destroyER  (ER R);
bool equivalent (ER R, const int x, const int y);
void merge      (ER R, const int x, const int y);

// The following is advertised here solely for debugging.  These must
// only be used for debugging.

void showER(const ER R, const int n);
int  leader(ER R, const int x);

#endif

#include "equiv.h"

  g++ -Wall -o test1 test1.cpp equiv.cpp

  ./test1

The following data pertain to products A and B, both of which are purchased by Susan. A is on vertical axis and B is on horizontal axis. Initially, the prices of the products and quantities consumed are:
PA= $8, QA= 5, PB= $6, QB= 10.
Susan has $100 to spend per time period. After an increase in price of B, the prices and quantities consumed are:
PA= $8, QA= 4, PB = $9, QB= 7.5.
Assume that Susan maximizes utility under both price conditions above. Also, note that if after the price increase enough income were given back to Susan to put her back on the original indifference curve, she would consume this combination of A and B:
QA= 10,QB= 4
a. Determine the change in consumption rate of good B due to (1) the substitution effect and (2) the income effect.
b. Determine if product B is a normal, inferior, or Giffengood. Explain.

Suppose that you have the following production function: ? = (100?^1/3)*(?^2/3) Where k represents the units of capital employed at production, L is the number of labor hours employed for total production. The wage rate equals to $18 per hour. The cost of capital equals $2,000 per unit.

a) What are the returns of scale for this production function? Prove it

b) You are currently employing 100 hours of labor. Calculate your total costs, average cost and marginal costs of labor and capital if K=100 units.

c) Which input is more productive? Should you employ more labor or more capital?

d) Draw the production function, MPK and MPL for the different values of K and L.

Question 25 pts

The hereditary/genetic material of living cells is

Group of answer choices

RNA

DNA

Either of the above, depending on the organism

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Question 26 pts

The genetic material of viruses is

Group of answer choices

RNA

DNA

Either of the above, depending on the virus

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Question 27 pts

The process in which cells take up free DNA from their environment is called

Group of answer choices

Transcription

Transformation

Translation

Transmutation

Question 28 pts

The Hershey-Chase experiment utilized bacteriophage to demonstrate that DNA, and not protein, is the genetic material by

Group of answer choices

Transforming bacteria and subjecting mice to different bacterial strains

Labeling proteins with ³²P and nucleic acids with ³⁵S

Using a combination of nucleases and nucleic acids under different conditions

Labeling nucleic acids with ³²P and proteins with ³⁵S

What is the KV in hand x-ray and why?

Needs the Kilovoltage and why (radiographic factor)

A binomial tree with one-month time steps is used to value an index option. The interest rate is 3% per annum and the dividend yield is 1% per annum. The volatility of the index is 16%. What is the probability of an up movement?

Consider and discuss how technology, population growth, and arising trends can impact various professions. Discuss how law enforcement may change as globalization continues.

What does RAID stand for and what are some commonly used RAID levels? Discuss these as they relate to a DBMS and provide your recommendations.

1. Describe how the causes of sickness and disease were explained in ancient times, prior to the invention of the microscope.

2. Give two examples of foods that have historically been produced by humans with the aid of microbes.

3. What is the main difference between prokaryotes and eukaryotes?

4. Name two types of protists and two types of fungi.

5. How do viruses differ from other organisms?

The Compton Effect. X-rays of wavelength ? = 61.0 pm are scattered from a thin foil of boron. What is the wavelength of the Compton scattered photons detected at the following angles (relative to the incident beam)? (Your answer should use three significant figures.)

(a) 15

briefly describe the cause of the turbulence associated with each of the 4 heart sounds:

1st heart sound 2nd heart sound 3rd heart sound 4th heart sound

1) find the vector sum of the three vectors A=0.98N (2cm) at 30˚, B=1.96N (4cm) at 90˚, C=2.94 (6cm) at 225˚. Record the results in graphical (head to tail) and analytical methods.

2) Add the following four displacement vectors using the analytic method. report the x and y components of the resultant, the magnitude of the resultant, and the direction of the resultant. show all work.

A= 5.0 m at 35˚

B= 7.0 m at 90˚

C= 3.0 m at 225˚

D= 2.4 m at 347˚

3)What possible sources of error can you identify for the graphical method of vector addition?

4) What possible sources of error can you identify for the analytical method of vector addition?

5) what possible sources of error can you identify for the experimental method of vector addition?

6) of the graphical and analytical methods, which one do you consider to be more accurate? Why?

7) Why is it not possible to experimently determine the esultant vector directly from the force table?