In 2005, a school population was 1,083. By 2009, the population had .pdf

•

0 likes•2 views

In 2005, a school population was 1,083. By 2009, the population had grown to 1,343. a) How much did the population grow between the years 2005 and 2009? Answer: _________students b) How long did it take the population to grow from 1,083 students to 1,343 students? Answer: ___________ years c) What is the average population growth per year? Answer: ___________students per year d) What was the population in the year 2000? Answer: ___________ students e) Find an equation for the population, P, of the school t years after 2000. P = _____________ f) Using your equation, predict the population of the school in 2012. Answer: ___________ students.

Education

More from maheshkumar12354

Implement the class Linked List to create a list of integers. You need to provide the implementation of the member functions as described in the following. class List { private: Node * head; public: List();// Constructor ~List(); // Destructor bool IsListEmpty();// Checks if the list is empty or not // Inserts a new node with value newV after the node containing value oldV. If a node with value oldV does not exist, inserts the new node at the end. void insertafter(int oldV, int newV); // Deletes the node containing the specified value void deleteNode(int value); // Inserts a new node at the start of the list void insert_begin(int value); // Inserts a new node at the end of the list void insert_end(int value); // Displays the values stored in the list void traverse(); };.

Implement the class Linked List to create a list of integers. You ne.pdf

maheshkumar12354

Implement a program in C++ a by creating a list ADT using the Object-Oriented style of programming. Create three files, 1) the class specification (*.h), 2) its implementation (*.cpp) and 3) the application/client or main file (*Main.cpp). Replace the '*' in the filename with a meaningful name that describes your project. your application/client/or the main program must Display a Menu (using a dowhile loop) with choices for user to choose from (similar to the one shown below) MENU Add an Item to the List Delete an Item from the List Display the Whole List Exit Please choose the choice of action by typing the number between (1. To 4.): Reads users choice from the keyboard, and accordingly gets the needed information from the user to perform the listADTs main behaviors such as 1) adding an item to the list, 2) deleting an item from the list, 3) displaying the whole list. The list is about student first names (i.e., each item is the first name of a student). The list ADT (the class specification .h file, its implementation .cpp file) you created must be able to display proper messages, for example when the list is full, or when the list is empty, or when the items requested to be deleted is not in the list, etc. The program (*Main.cpp)should stay and run until user chooses the choice to Exit..

Implement a program in C++ a by creating a list ADT using the Object.pdf

maheshkumar12354

Implement a singly linked list as a functional data structure in Kot.pdf

maheshkumar12354

Implementation The starter code includes List.java. You should not change anything in List.java. Your task will be to create LinkedList.java, make LinkedList use generics and inherit from List, and complete several methods in LinkedList.java. Create LinkedList.java in IntelliJ. Add a main method to LinkedList.java containing the following code. Your program will not compile again. public static void main(String[] args) { LinkedList list = new LinkedList(); System.out.println(list.getHead()); System.out.println(list.getTail()); list.add("first"); list.add("middle"); list.add("last"); System.out.println(list.getHead().value); System.out.println(list.getTail().value); System.out.println(list); } The first issue is that your LinkedList class does not have a way of specifying what type of data it should store. You can fix this using Java Generics. Change the first line of your class to the following: LinkedList . Confirm that the first line in your main method no longer has an error. On the line that declares the LinkedList class, add extends List before the bracket that begins the class. The first line in your class will now have a compile error because LinkedList does not implement the methods required by the List abstract class. Press Ctrl-i to have IntelliJ insert stubs of these methods. Ensure that Copy JavaDoc is selected so you get JavaDoc comments which describe the method requirements, then click OK. Your code should now compile again. Next add fields for the head and tail. These will be of type Node. Create a getHead method which returns your head field, and a getTail method which returns your tail field. Run your main method now and you will see that there is a NullPointerException because the add method does not actually add anything to the list, so head and tail will always be null. Complete the method boolean add(T value) for which IntelliJ gave you a stub. You need to create a new node with value to add at the end of the list. This means you will need to connect it to the old tail and update tail to point to the node you created. Make sure that you handle the case where the list is empty and both head and tail should be set to the new node you've created. Note: For the full Map I assignment, add will need to prevent duplicate values being added to the list and should return true or false based on whether the value was added or not. For this lab, you can ignore this requirement and simply return true. Add a toString method to your LinkedList class. It should start at the head of your list and proceed through all the nodes in a loop, combining the values of each node with a comma between each and square brackets containing the whole thing. When you run your main method, the final thing printed should be: [first, middle, last] List.java: /** * Specification for a List ADT. * @author Shubham Chatterjee * @version 03/07/2019 * @param Type */ public abstract class List { /** * Appends the specified value to the end of this list. * * @para.

Implementation The starter code includes List.java. You should not c.pdf

maheshkumar12354

import java.awt.Color; import java.awt.Dimension; import java.awt.Graphics; import javax.swing.JFrame; import javax.swing.JPanel; / * Plots trend data over time. * @author Rick Halterman * @date 2021-03-10 */ public class Plotter { @SuppressWarnings("serial") private static class PlotPanel extends JPanel { private Dimension dimension; private double[] dataSet; public PlotPanel(double[] data, int width, int height) { dataSet = data; dimension = new Dimension(width, height); setBackground(Color.WHITE); } @Override public Dimension getPreferredSize() { return dimension; } private static double minimum(double[] data) { double min = Double.MAX_VALUE; for (double elem : data) { if (elem < min) { min = elem; } } return min; } private static double maximum(double[] data) { double max = Double.MIN_VALUE; for (double elem : data) { if (elem > max) { max = elem; } } return max; } @Override public void paintComponent(Graphics g) { super.paintComponent(g); int height = getHeight(); int width = getWidth(); // Compute the vertical size of the data double min = minimum(dataSet); double max = maximum(dataSet); double dataHeight = max - min; //range(dataSet); double widthScale = (double) width/(dataSet.length - 1); double heightScale = height/dataHeight; // Draw baseline at y = 0 g.setColor(Color.LIGHT_GRAY); g.drawLine(0, (int)(height + min*heightScale), width, (int)(height + min*heightScale)); // Plot data g.setColor(Color.RED); for (int i = 1; i < dataSet.length; i++) { int x1 = (int) Math.round((i - 1) * widthScale), y1 = height - (int) Math.round((dataSet[i - 1] - min) * heightScale), x2 = (int) Math.round(i * widthScale), y2 = height - (int) Math.round((dataSet[i] - min) * heightScale); if (y1 < 1) { y1 = 1; } if (y2 < 1) { y2 = 1; } g.drawLine(x1, y1, x2, y2); // Original line drawing: // g.drawLine((int) Math.round((i - 1) * widthScale), // height - (int) Math.round((dataSet[i - 1] - min) * heightScale), // (int) Math.round(i * widthScale), // height - (int) Math.round((dataSet[i] - min) * heightScale)); } } } / * Plots the data stored in an array in a graphical window * with a given size. The plot fills the window horizontally * and vertically. * @param data the data set to plot * @param left the x position of the plot window's left-top corner * @param top the y position of the plot window's left-top corner * @param width the width of the graphical window, in pixels * @param width the width of the graphical window, in pixels * @param height the height of the graphical window, in pixels */ public static void plot(double[] data, int left, int top, int width, int height) { JFrame window = new JFrame("Plot"); JPanel panel = new PlotPanel(data, width, height); window.add(panel); window.pack(); window.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE); window.setLocation(left, top); window.setVisible(true); } / * Plots the data stored in an array in a graphical window * with a given size. The plot fills the window horizontally * and vertically. * @param data th.

import java.awt.Color; import java.awt.Dimension; import.pdf

maheshkumar12354

Implement two project schedules. BENCHMARKS Implement mechanisms to measure, record, and report progress against the schedules, eg: units completed incremental milestones weighted units Identify baseline variances as they occur, eg: changes in project scope triggered by end-user or project team to meet the contractual obligations lack of resources such as skilled human resources, availability of equipment and material wrong activity duration estimates Forecast the impact of schedule changes, eg: delays budget resources Implement schedule changes..

Implement two project schedules.BENCHMARKSImplement mechanisms t.pdf

maheshkumar12354

If you were to write an application program that needs to maintain s.pdf

maheshkumar12354

Imagine that you are using a learning management system (such as Blackboard, Canvas, Moodle, etc.) and you want to review your performance so far in a university course (including an analysis of all your component grades). 1. a. Write a user story to describe this situation from the perspective of a student. 2. b. Identify at least three acceptance criteria associated with this user story. 3. c. Illustrate the user story with a UI mock-up/mock-ups, including navigation guidance, if necessary..

Imagine that you are using a learning management system (such as Bla.pdf

maheshkumar12354

I'm trying to run make qemu-nox In a putty terminal but it's giving me this error Makefile:280: *** missing 'endif'. Stop. OBJS = \ bio.o\ console.o\ exec.ile.o\ fs.o\ ide.o\ ioapic.o\ kalloc.o\ kbd.o\ lapic.o\ log.o\ main.o\ mp.o\ picirq.o\ pipe.o\ proc.o\ sleeplock.o\ spinlock.o\ string.o\ swtch.o\ syscall.o\ sysfile.o\ sysproc.o\ trapasm.o\ trap.o\ uart.o\ vectors.o\ vm.o\ # Cross-compiling (e.g., on Mac OS X) # TOOLPREFIX = i386-jos-elf # Using native tools (e.g., on X86 Linux) #TOOLPREFIX = # Try to infer the correct TOOLPREFIX if not set ifndef TOOLPREFIX TOOLPREFIX := $(shell if i386-jos-elf-objdump -i 2>&1 | grep '^elf32-i386$$' >/dev/null 2>&1; \ then echo 'i386-jos-elf-'; \ elif objdump -i 2>&1 | grep 'elf32-i386' >/dev/null 2>&1; \ then echo ''; \ else echo "***" 1>&2; \ echo "*** Error: Couldn't find an i386-*-elf version of GCC/binutils." 1>&2; \ echo "*** Is the directory with i386-jos-elf-gcc in your PATH?" 1>&2; \ echo "*** If your i386-*-elf toolchain is installed with a command" 1>&2; \ echo "*** prefix other than 'i386-jos-elf-', set your TOOLPREFIX" 1>&2; \ echo "*** environment variable to that prefix and run 'make' again." 1>&2; \ echo "*** To turn off this error, run 'gmake TOOLPREFIX= ...'." 1>&2; \ echo "***" 1>&2; exit 1; fi) endif # If the makefile can't find QEMU, specify its path here # QEMU = qemu-system-i386 # Try to infer the correct QEMU ifndef QEMU QEMU = $(shell if which qemu > /dev/null; \ then echo qemu; exit; \ elif which qemu-system-i386 > /dev/null; \ then echo qemu-system-i386; exit; \ elif which qemu-system-x86_64 > /dev/null; \ then echo qemu-system-x86_64; exit; \ else \ qemu=/Applications/Q.app/Contents/MacOS/i386-softmmu.app/Contents/MacOS/i386- softmmu; \ if test -x $$qemu; then echo $$qemu; exit; fi; fi; \ echo "***" 1>&2; \ echo "*** Error: Couldn't find a working QEMU executable." 1>&2; \ echo "*** Is the directory containing the qemu binary in your PATH" 1>&2; \ echo "*** or have you tried setting the QEMU variable in Makefile?" 1>&2; \ echo "***" 1>&2; exit 1) endif CC = $(TOOLPREFIX)gcc AS = $(TOOLPREFIX)gas LD = $(TOOLPREFIX)ld OBJCOPY = $(TOOLPREFIX)objcopy OBJDUMP = $(TOOLPREFIX)objdump CFLAGS = -fno-pic -static -fno-builtin -fno-strict-aliasing -O2 -Wall -MD -ggdb -m32 -Werror -fno-omit-frame-pointer CFLAGS += $(shell $(CC) -fno-stack-protector -E -x c /dev/null >/dev/null 2>&1 && echo - fno-stack-protector) ASFLAGS = -m32 -gdwarf-2 -Wa,-divide # FreeBSD ld wants ``elf_i386_fbsd'' LDFLAGS += -m $(shell $(LD) -V | grep elf_i386 2>/dev/null | head -n 1) # Disable PIE when possible (for Ubuntu 16.10 toolchain) ifneq ($(shell $(CC) -dumpspecs 2>/dev/null | grep -e '[^f]no-pie'),) CFLAGS += -fno-pie -no-pie endif ifneq ($(shell $(CC) -dumpspecs 2>/dev/null | grep -e '[^f]nopie'),) CFLAGS += -fno-pie -nopief endif xv6.img: bootblock kernel dd if=/dev/zero of=xv6.img count=10000 dd if=bootblock of=xv6.img conv=notrunc dd if=kernel of=xv6.img seek=1 conv=notrunc xv6memfs.img: bootblock kernelme.

Im trying to run make qemu-nox In a putty terminal but it.pdf

maheshkumar12354

I'm posting this again because the answer wasn't correct. **Please read this carefully and the prompt carefully** Hello All, I need help with Operations 4, 5, and 7. Make sure it's in C programming language. Operations needed: Operation 4 is Delete the entire list: When 4 is pressed, the program should delete each products information by removing all the nodes in the Linked List, including the head node that was created when you pressed 1. Operation 5 is Search a product: When 5 is pressed, the program should take the users keyboard input for the products name, search this product in the Linked List, and return the search result (Found, or Not Found). and Operation 7 is Purchase a product: When 7 is pressed, the program should take users keyboard input for the products name, and increase this products quantity by 1. I provided a code for what I have so far. Code #include #include #include // define a product struct typedef struct Product { char name[20]; int price; int quantity; struct Product* next; } Product; // declare global variables Product* head = NULL; // start of the linked list Product* tail = NULL; // end of the linked list // function prototypes void createList(); void insertProduct(); void removeProduct(); void deleteList(); void searchProduct(); void displayProduct(); void purchaseProduct(); void sellProduct(); void saveToFile(); int main() { char choice; do { printf("\n\nPlease choose an option:\n"); printf("1. Create a new list\n"); printf("2. Create a new product\n"); printf("3. Remove a product\n"); printf("4. Delete a list\n"); printf("5. Search a product\n"); printf("6. Display a product\n"); printf("7. Purchase a product\n"); printf("8. Sell a product\n"); printf("9. Save products to file\n"); printf("0. Exit\n"); printf("Enter your choice: "); scanf(" %c", &choice); switch (choice) { case '1': createList(); break; case '2': insertProduct(); break; case '3': removeProduct(); break; case '4': deleteList(); break; case '5': searchProduct(); break; case '6': displayProduct(); break; case '7': purchaseProduct(); break; case '8': sellProduct(); break; case '9': saveToFile(); break; case '0': printf("Exiting program.\n"); break; default: printf("Invalid choice. Please try again.\n"); break; } } while (choice != '0'); return 0; } // function to insert a new product into the linked list void insertProduct() { Product* newProduct = (Product*) malloc(sizeof(Product)); printf("Enter the name of the product: "); scanf("%s", newProduct->name); printf("Enter the price of the product: "); scanf("%d", &newProduct->price); printf("Enter the quantity of the product: "); scanf("%d", &newProduct->quantity); if (newProduct->price <= 0 || newProduct->quantity <= 0) { printf("Price and quantity must be positive integers. Product not added.\n"); free(newProduct); return; } newProduct->next = NULL; // check if the product already exists in the linked list Product* current = head; while (current != NULL) { if (strcmp(current->name, newProduct->nam.

Im posting this again because the answer wasnt correct.Please .pdf

maheshkumar12354

Ignacio enters into a game of chance. A bag of money has twelve $1 bills, ten $5 dollar bills, sixteen $10 bills, eight $20 bills, and nine $100 bills. Ignacio pays $25 to pull one bill from the bag without looking into the bag. After Ignacio takes the bill out of the bag, he keeps the bill. (a) What is the expected value of the bill Gustaf pulls out of the bag? (b) What is Gustafs expected value of the game?.

Ignacio enters into a game of chance. A bag of money has twelve $1 b.pdf

maheshkumar12354

imagine a protein that has been engineered to contain a nuclear localization signal, and nuclear export signal similar to the nuclear factor of activated T-cells where different condition cause the exposure of one signal or the other. With both signals, who will this protein interact with when it needs to be able to bind DNA? a. cargo receptors b. exportins c. vesicles shuttling between the cytosol and the nucleus d. TOM E. Importin.

imagine a protein that has been engineered to contain a nuclear loca.pdf

maheshkumar12354

I'm not trying to be rude, but I have had multiple of you "experts" give me wrong answers and explanations or just lie. I am trying to get correct answers and understand these problems so please if you are just going to completely ignore the questions provided below and give different answers then don't bother. Problems to solved/answered (please use python) 1. Library of Congress - Description Expected duration: 36 hours Problem You are working in the Library of Congress as a data entry intern. The library is looking to overhaul some of their older works and wants to make sure that they are correct and get some basic data from each file. As you open your assigned files, you discover that they have all been scrambled together. The lines from each of your three texts have been placed in random order and the only clue that you have is the identifier at the end of each line. Each line in the scrambled file contains the line in the text file, a line number, and a three-letter code that identifies the work. Each of these items is separated by the character. For example, it ran away when it saw mine coming!" 164 ALC cried to the man who trundled the barrow; "bring up alongside and help|27|TRI "Of course he's stuffed," replied Dorothy, who was still angry. 46 woo Your task is to write a program that reads each line in a text file, separates and unscrambles the texts, and collects the basic data you'd first set out to collect. The file name is a command line parameter. For each text, you must determine 1. Its longest line (and the corresponding line number), 2. its shortest line (and corresponding line number), and 3. the average length of the lines in the entire text. If there are multiple lines with the shortest or longest length, use the line number as a tiebreaker: earlier lines are "shorter" and later lines are "longer". The average should be rounded to the closest integer. The summary of data should be stored in a file named The summaries should be sorted by three-letter code and should be formatted as follows: ALC Longest line (107): "No, I didn't," said Alice: "I don't think it's at all a pity. Shortest line (148): to." Average length: 59 woo Longest line (66): of my way. Whenever I've met a man I've been awfully scared; but Shortest line (71): go." Average length: 58 The texts themselves should be stored in a file named . This file should contain the three-letter code for a work followed by its text. The lines must all be included and should be ordered and should not include line numbers or three-letter codes. The texts should be separated by a single line with five characters. The result should look like the following: ALC A large rose-tree stood near the entrance of the garden: the roses growing on it were white, but there were three gardeners at it, busily painting them red. Alice thought this a very curious thing, and she went nearer to watch them, and just as she came up to them she heard one of them say, "Look out now, Five! Don't go s.

Im not trying to be rude, but I have had multiple of you experts .pdf

maheshkumar12354

I'm having difficulty with the directives i figured out a duplication issue but i still can't get it to work as intended. It's supposed to be a mips compiler that handles a subset of mips instruction /* * Click nbfs://nbhost/SystemFileSystem/Templates/Licenses/license-default.txt to change this license * Click nbfs://nbhost/SystemFileSystem/Templates/cFiles/main.c to edit this template */ /* * File: main.c * Author: Andrew Schelb * * Created on March 7, 2023, 2:51 PM */ #include #include #define TEXT_SEGMENT 0x0200 #define DATA_SEGMENT 0x0000 #define MAX_SIZE 1024 typedef struct { char* name; int opcode; int funct; int rs; int rt; int rd; int imm; int add; } Instruction; typedef struct { int n; int size; char* name; } Directive; // MIPS Instructions Instruction instructions[] = { {"add", 0, 32, 0, 0, 0, 0, 0}, {"addu", 0, 33, 0, 0, 0, 0, 0}, {"sub", 0, 34, 0, 0, 0, 0, 0}, {"sll", 0, 0, 0, 0, 0, 0, 0}, {"slt", 0, 42, 0, 0, 0, 0, 0}, {"addi", 8, 0, 0, 0, 0, 0, 0}, {"lui", 15, 0, 0, 0, 0, 0, 0}, {"ori", 13, 0, 0, 0, 0, 0, 0}, {"lw", 35, 0, 0, 0, 0, 0, 0}, {"sw", 43, 0, 0, 0, 0, 0, 0}, {NULL, 0, 0, 0, 0, 0, 0, 0} }; // MIPS Directives Directive directives[] = { {0, 0, ".text"}, {1, 0, ".data"}, {2, 1, ".dbyte"}, {3, 4, ".integer"}, {-1, 0, NULL} }; // Function Prototypes Instruction* getInstruction(char*); Directive* getDirective(char*); int getRegisterNumber(char*); int parseInstruction(char*, int*, int*); int parseDirective(char*, int*, int*); void assemble(char*, int*); int main(int argc, char** argv) { // Checking command line arguments if (argc < 2) { printf("Usage: %s \n", argv[0]); return -1; } // Initializing memory int text_segment[MAX_SIZE]; int data_segment[MAX_SIZE]; memset(text_segment, 0, MAX_SIZE); memset(data_segment, 0, MAX_SIZE); // Assembling assemble(argv[1], text_segment); // Writing to output file FILE* fp = fopen(argv[2], "wb"); fwrite(data_segment, 1, MAX_SIZE, fp); fwrite(text_segment, 1, MAX_SIZE, fp); fclose(fp); return 0; } // Assembling the input file void assemble(char* filename, int* text_segment) { int line_number = 0; int text_offset = 0; int data_offset = 0; char line[256]; FILE* fp = fopen(filename, "r"); while (fgets(line, 256, fp)) { // Handling blank lines if (strcmp(line, "\n") == 0) { continue; } // Parsing line char* label = NULL; char* instruction = NULL; char* directive = NULL; char* operands = NULL; label = strtok(line, ":"); instruction = strtok(NULL, " \n\t"); directive = strtok(NULL, " \n\t"); operands = strtok(NULL, "\n\t"); // Handling instructions if (instruction) { // Parsing instruction int opcode = 0; int funct = 0; int rs = 0; int rt = 0; int rd = 0; int imm = 0; int add = 0; if (parseInstruction(instruction, &opcode, &funct)) { rs = getRegisterNumber(strtok(operands, ",")); rt = getRegisterNumber(strtok(NULL, ",")); if (opcode == 0) { rd = getRegisterNumber(strtok(NULL, ",")); } else { imm = atoi(strtok(NULL, ",")); } // Generating machine code int machine_code = 0; machine_code |= (opcode <<.

Im having difficulty with the directives i figured out a duplicatio.pdf

maheshkumar12354

If the IRS Criminal Investigation Division obtains information regarding a taxpayers unreported income during a raid of the taxpayers home in Florida, the IRS may disclose this information to a. the taxpayers employer b. the taxpayers parents c. the financial aid office where the taxpayer is working on a Master of Accounting d. the state of North Carolina where the taxpayer has a vacation home e. none of the above.

If the IRS Criminal Investigation Division obtains information regar.pdf

maheshkumar12354

If you could only work on three of the nine key HR competencies, what would they be, and why did you choose those three? Human resource expertise: Knowledge of principles, practices, and functions of effective human resource management. Business acumen: Ability to understand and apply information to contribute to the organizations strategic plan. Critical evaluation: Ability to interpret information to make business decisions and recommendations. Consultation: Ability to provide guidance to organizational stakeholders. Leadership and navigation: Ability to direct and contribute to initiatives and processes within the organization. Ethical practice: Ability to integrate core values, integrity, and accountability throughout all organizational and business practices. Communication: Ability to effectively exchange with stakeholders. Relationship management: Ability to manage interactions to provide service and to support the organization. Global and cultural effectiveness: Ability to value and consider the perspectives and backgrounds of all parties..

If you could only work on three of the nine key HR competencies, wha.pdf

maheshkumar12354

If X2 is a binary predictor in Y = 0 + 1X1 + 2X2, then which stateme.pdf

maheshkumar12354

ii) Which of the following expenses would NOT be added back to Net Income on Schedule 1? a. Capital cost allowance. b. Charitable donations c. 50% of meals and entertainment d. Non- deductible club dues and fees e. Provision for current income taxes Which of the following amounts would be subtracted on Schedule 1 as a deductible business expense? a. Gain on disposal of assets b. Loss on disposal of assets c. Political contributions d. Accounting depreciation e. Interest and penalties on taxes.

ii) Which of the following expenses would NOT be added back.pdf

maheshkumar12354

If Molly's pension plan from Retirement Management Services included a provision for survivor benefits and she named Joel as her beneficiary, the information in which boxes of the "Taxable Pension Calculation Using the Simplified Method" would have to be updated in order for the taxable amount of Molly's pension to be calculated correctly? Age at starting date and Number of months payments were made this year. Amount recd tax free after 1986 and Table 1 or Table 2. Cost in plan at starting date and Annuity starting date. Table 1 or Table 2 and Age at starting date. Mark for follow up.

If Mollys pension plan from Retirement Management Services included.pdf

maheshkumar12354

if n = 5, (user inputs 5 columns) how can I make a program that will.pdf

maheshkumar12354

More from maheshkumar12354 (20)