I heat 29.292 g of an unknown metal up to 99.9 °C. While it is heating, I weigh out 27.777 g of water, and find its initial
temperature is 22.1 "C. When I mix the metal and water in an insulated container, the temperature of the mixture rises
to 29.3 °C.
What is the most likely specific heat of the metal?
Select one:
a. 4.8 (104) cal / (g *C)
b. 9.7 (102) cal/(g*C)
c. 7.9 (10³) cal/ (g*C)
Od: 0.13 cal / (g°C)
e. 9.8 (105) cal / (g°C)

Determine and sketch the real, imaginary, magnitude and phase spectrum corresponding to the signal x(n)=(0.5)^n u(n). Use the definition to find the discrete fourier transform (dft) of the sequencef[n]=1,2,2,1 Question 21 of 22 Which of the following sentences best represents a plot's climax? O A. Sometimes he would dream about faraway places and forget what he was doing. OB. He liked to sail his boat on the open ocean waters. A C. Stuart learned his lesson never to sail in stormy weather. O D. Stuart feared he would never survive this big storm and would be lost forever. The first five terms of the recursive sequence a = 4,a_n+1= -a_n are 4,-4, 4, -4, 4 4, -16, 64, -256, 1024 -4, 4, -4, 4, -4 4, 0, -4,-8, -12 Use double integrals to find the area of the following regions.The region inside the circle r=3cos and outside the cardioid r=1+cos The smaller region bounded by the spiral r=1, the circles r=1 and r=3, and the polar axis If you have a data set that consists of the following three values 1, 2, and 3,which of the following statements are true:a) The sample standard deviation is equal to sample varianceb) The sample standard deviation equals the sample average.c) The sample mean is rigidd) The standard deviation will be the best dispersion methode) The Range of the data is 3 Consider a Rayleigh channel, with the channel coefficient h unknown. Compute the estimate of the channel coefficient h if the transmitted and the received pilot symbols are expressed as xP) = [2,-2,2,-2] and y(P) = [3.68+ 4.45j, -3.31 - 4.60j, 3.24 + 4.33j,-3.46-4.34j]", respectively. Livestock and Weather Relationship1. Visit the Small Ruminant Center, poultry area at the Animal Science Department, orany establishment/agency engaged in livestock production.2. Observe how the animals are grown in the area.3. Prepare a questionnaire to establish the relationship between livestock and weather.4. Conduct interviews with the personnel in charge to determine the effect of thedifferent weather parameters on the selected livestock under observation.5. What are the different management procedures imposed to control the effect of thedifferent weather parameters on the livestock?6. RESULTS AND DISCUSSION7. CONCLUSION AND RECOMMENDATION8. REFERRENCES Write a Pseudocode for this programpublic static void main(String[] args) {Scanner sc = new Scanner(System.in);int i,j,size;System.out.println("Enter the size of the matrix (nn):");size = sc.nextInt();int[][] matrix = new int[size][size];System.out.println("Enter the elements of the matrix") ;for(i=0;i{for(j=0;j{matrix[i][j] = sc.nextInt();}}System.out.println("The elements of the matrix") ;for(i=0;i{for(j=0;j{System.out.print(matrix[i][j]+"\t");}System.out.println("");}System.out.println();int[][] product = multiplyMatrix(matrix, matrix, size, size);printMatrix(product);System.out.println();isReflexive(matrix);isIrreflexive(matrix);isSymmetric(matrix);isAsymmetric(matrix);isAntisymmetric(matrix);isTransitive(matrix);if(isequivalence())System.out.println("equivalence");elseSystem.out.println("Not equivalence"); a) In the foreign exchange markets, there are two common type of tractions that took place daily. These include exchange markets, there are two common type of tractions that took place daily. and forward market transactions and forward transactions. Discuss the distinctions between spot transaction help to hedsansaction. List at least two circumstances where forward market b) You are an US investor currently looking overseas market for possible investment in EURO. The making? Thinkabout 26.4 - Intro to momentum at Two rolling carts are moving toward each other at the same speed. Cart 1 has a mass m1=200g and Cart 2 has a mass m2=400g. 1. (a) Draw a velocity vector v for each cart. Show the column vector notation for the velocity of each cart. 2. (b) Momentum p is a vector defined as p=mv. Draw a momentum vector and write a column vector for each cart. 3. (c) Add the two momentum vectors together to find the total momentum, ptotal =p1+p2 both graphically and using column vector notation. The population of a town is now 38,500 andtyears from now will be growing at the rate of450tpeople per year. (a) Find a formula for the population of the towntyears from now.P(t)=(b) Use your formula to find the population of the town 25 years from now. (Round your answer to the nearest hundred.)P(25)=___ 8.30 Region 1, for which , defined by z>0. If B, with the interface. 2.5 6a, is defined by z Which of the following financial statements tends to provide the best indication of current operating performance?a. Statement of owners' equityb. Income statementc. Statement of cash flowsd. Balance sheet Consider a parallel plate capacitor having a plate area of 1.0 cm each. The plates are separated by a distance of 1.0mm by a dielectric having the following properties at 1GHz: r , = 2,0 = 10^-7 m. Find the equivalent circuit for this capacitor and calculate the conduction current, displacement current and the loss tangent if 1V at 1 GHz is applied across the capacitor. 1 Introduction In practicals you have implemented and learned about a number of algorithms and ADTs and will be implementing more of these in the remaining practicals. In this assignment, you will be making use of this knowledge to implement a system to explore and compare a variety of ADT implementations. Feel free to re-use the generic ADTs from your practicals. However, remember to self-cite; if you submit work that you have already submitted for a previous assessment (in this unit or any other) you have to specifically state this. Do not use the Python implementations of ADTs if in doubt, ask.2 The Problem This assignment requires the extension of your graph code to apply it to determining a preferred path through an area. In the example case, we will be looking at journeys across a university campus. The area will be represented as a weighted, directed graph, with nodes for locations and edges for the various ways to move between locations. For example, a preferred route may no longer be possible due to construction, a need to avoid stairs, or insufficient security access (affected by time of day). Your task is to build a representation of the world and explore the possible routes through the world and rank them. Sample input files will be available with various scenarios in terms of size and modifiers. Your program should be called whereNow.py, and have three starting options: No command line arguments : provides usage information "-i" : interactive testing environment (python whereNow[.py] i) "-s" : silent mode (python whereNow[.py] s infile journey savefile) When the program starts in interactive mode, it should show the following main menu:1 Introduction In practicals you have implemented and learned about a number of algorithms and ADTs and will be implementing more of these in the remaining practicals. In this assignment, you will be making use of this knowledge to implement a system to explore and compare a variety of ADT implementations. Feel free to re-use the generic ADTs from your practicals. However, remember to self-cite; if you submit work that you have already submitted for a previous assessment (in this unit or any other) you have to specifically state this. Do not use the Python implementations of ADTs if in doubt, ask.2 The Problem This assignment requires the extension of your graph code to apply it to determining a preferred path through an area. In the example case, we will be looking at journeys across a university campus. The area will be represented as a weighted, directed graph, with nodes for locations and edges for the various ways to move between locations. For example, a preferred route may no longer be possible due to construction, a need to avoid stairs, or insufficient security access (affected by time of day). Your task is to build a representation of the world and explore the possible routes through the world and rank them. Sample input files will be available with various scenarios in terms of size and modifiers. Your program should be called whereNow.py, and have three starting options: No command line arguments : provides usage information "-i" : interactive testing environment (python whereNow[.py] i) "-s" : silent mode (python whereNow[.py] s infile journey savefile) When the program starts in interactive mode, it should show the following main menu:then output the ranked paths to a file. Once you have a working program, you will showcase your program, and reflect on its performance. This investigation will be written up as The Report. The Fourier transform of f(t) = Select one: O F(w) = Trect() O F(w) = rect() O F(w) = 2nrect (1) O None of these sin(2t) t IS: Program 3 (3 marks)FINANCIAL CALCULATORDesign and code a program that performs two financial calculations: future value and present value. Your program prompts for and accepts a principal amount, an interest rate, the number of periods and the type of calculation requested: future or present value.Design your program according to structured design principles and include a function that can be used in both calculations as well as in other Do not use from functions. any library functions apartapplications.Preface your function header with a comprehensive description of the function purpose, the function parameters and the function return value.The formula for future value isfuture value principal (1+rate) (number of periods) The formula for present value is present value = principal (1+rate) (number of periods)The output from your program should look something like:Investment CalculatorPrincipal: 1000Annual Rate: 0.06No of Years: 5Future value (f) or present value (p): fThe present amount: $ 1000.00 The future value $ 1338.23Investment CalculatorPrincipal: 1000Annual Rate: 0.06No of Years: 5 The population of a country was5.035million in 1990 . The approximate growth rate of the country's population is given by fit)=0.09893775e0.01965t, where t e 0 corresponds 101990 . a. Find a function that gives the population of the country (in milions) in yeart. b. Estimate the country's population in 2012 . a. What is the functionF(t)?F(t)=(Simplify your answer: Use integers or decimals for any numbers in the expression. Round to five decimal places as needed) b. In 2012, the population will be about trilison. (Type an integer or decimal rounded to three decimal places as needed). Laboratory experiments, regardless of how well-equipped and well-managed they are, are always subject to limitations and their findings don't 100% match up with theoretical frameworks. Give a few examples as to what limitations and considerations we need to keep in mind to validate an equation or theory.