The message signal m(t) = 10cos(1000t) frequency modulates the carrier c(t) = 10cos(2fct). The modulation index is 10.
1) Write an expression for the modulated signal u(t).
2) What is the power of the modulated signal.
3) Find the bandwidth of the modulated signal.

Answers

Answer 1

Answer:

1) 10cos ( 2πfct + 10sin 2πfmt )

2) 50 watts

3) 1000 Hz

Explanation:

m(t) = 10cos(1000πt)

c(t) = 10cos(2πfct )

modulation index (  = 10

1) expression for modulated signal ( u(t) )

u(t) = Ac(cos 2πfct ) + A (cos 2πfct m(t) ) Am cos2πf mt

      = 10cos 2πfct + 100 cos 2πfct  cos2π500t

      = 10cos ( 2πfct + 10sin 2πfmt )

2) power of modulated signal

power of modulated signal  μ^2 / 2 ]

           = 10^2/2 ]

           = 50 watts

3) Bandwidth

B = 2fm  = 2 * 500 = 1000 Hz


Related Questions

Long Answer Questions: a. Briefly explain the types of Control Structures in QBASIC.​

Answers

Answer:

The three basic types of control structures are sequential, selection and iteration. They can be combined in any way to solve a specified problem. Sequential is the default control structure, statements are executed line by line in the order in which they appear.

Select the correct statement(s) regarding DCE and DTE interfaces.

a. DTE and DCE describes the device types (e.g., computers, switches, routers, etc.)
b. distinguishing between DTE and DCE is only required for half-duplex communications
c. DTE and DCE describes the interface and direction of data flow between devices; a single device may have both types of interfaces
d. all statements are correct

Answers

Answer:

The correct statement regarding DCE and DTE interfaces is:

c. DTE and DCE describes the interface and direction of data flow between devices; a single device may have both types of interfaces.

Explanation:

DTE stands for Data Terminal Equipment.  It is a device that initiates or controls a device's serial connection. The term DCE stands for Data Communications Equipment.  It is a device that is used to a modem or other communication interfaces to the DTE device.  DTE is a communication receptor, while DCE is a communication broadcaster or distributor.

hub stake should always be provided with a lath stake so that the information about what the hub represents can be written on the lath stake True False

Answers

Answer:

True

Explanation:

To protect them from becoming disturbed by construction operations, hub stakes are placed on both sides of a roadway at a certain distance outside the work zone. The final stakes are connected to the hub stakes, which are used to write the essential information.

As a result, hub stakes are always accompanied with stakes.

You are between flights at the airport and you want to check your email. Your wireless settings show two options:
a) a free unsecured site called TerminalAir and b) a pay-by-the-hour site called Boingo.
Which one is likely to be the most secure?

Answers

The correct answers Is B

If you fail a course as a MAIN (residency) course, you can repeat that course as either a MAIN (residency) or an online (IG or IIG) course.
A. True
B. False

Answers

it depends on where you are taking your courses. In most cases the answer would be true

Answer to this problem

Answers

Answer:

hi..,.................................................

What order? (function templates) Define a generic function called CheckOrder() that checks if four items are in ascending, neither, or descending order. The function should return -1 if the items are in ascending order, 0 if the items are unordered, and 1 if the items are in descending order. The program reads four items from input and outputs if the items are ordered. The items can be different types, including integers, strings, characters, or doubles. Ex. If the input is:

Answers

Answer:

Explanation:

The following code was written in Java and creates the generic class to allow you to compare any type of data structure. Three different test cases were used using both integers and strings. The first is an ascending list of integers, the second is a descending list of integers, and the third is an unordered list of strings. The output can be seen in the attached image below.

import java.util.Scanner;

class Brainly {

   public static void main(String[] args) {

       Scanner in = new Scanner(System.in);

       System.out.println("Order: " + checkOrder(10, 22, 51, 53));

       System.out.println("Order: " + checkOrder(55, 44, 33, 22));

       System.out.println("Order: " + checkOrder("John", " Gabriel", "Daniela", "Zendaya"));

   }

   public static <E extends Comparable<E>> int checkOrder(E var1, E var2, E var3, E var4) {

       E prevVar = var1;

       if (var2.compareTo(prevVar) > 0) {

           prevVar = var2;

       } else {

           if (var3.compareTo(prevVar) < 0) {

               prevVar = var3;

           } else {

               return 0;

           }

           if (var4.compareTo(prevVar) < 0) {

               return 1;

           }  else {

               return 0;

           }

       }

       if (var3.compareTo(prevVar) > 0) {

           prevVar = var3;

       }

       if (var4.compareTo(prevVar) > 0) {

           return -1;

       }

       return 0;

   }

}

shooting phases in film and video editing​

Answers

Answer:

Filmmaking involves a number of complex and discrete stages including an initial story, idea, or commission, through screenwriting, casting, shooting, sound recording and pre-production, editing, and screening the finished product before an audience that may result in a film release and an exhibition.

The subroutines/function calls you need to call to pass an application message down to the transport layer is called the

Answers

Answer:

"TCP/IP library" is the appropriate answer.

Explanation:

A communications protocol that always connects to yet another system or device and guarantees transmissions were also correctly converted to digital signals or received, is termed as TCP/IP.Technology can also do a variety of things on its own and. However, when you speak among each other devices' maximum throttle emerges.

Provide the EXACT C++ line of code necessary to return the heap-dynamic variable ptr to the operating system.

Answers

Full question:

Provide the EXACT C++ line of code necessary to return the heap-dynamic variable ptr to the operating system.

Pokemon *ptr;

ptr = new Pokemon[6];

Answer:

delete ptr;

Explanation:

The command in the answer above deallocates memory(preventing memory leaks) and returns control to the operating system.

The command in the question dynamically allocates memory to the the heap(dynamically allocated memory is called heap) while the program is running(different from statically allocated memory that allocates before program compiles). When the variable is no longer needed, deallocation occurs using the command in our answer where the variable is deleted using the pointer(keeps track of dynamic variables).

Write a program in c++ that will:1. Call a function to input temperatures for consecutive days in 1D array. NOTE: The temperatures will be integer numbers. There will be no more than 10 temperatures.The user will input the number of temperatures to be read. There will be no more than 10 temperatures.2. Call a function to sort the array by ascending order. You can use any sorting algorithm you wish as long as you can explain it.3. Call a function that will return the average of the temperatures. The average should be displayed to two decimal places.Sample Run:Please input the number of temperatures to be read5Input temperature 1:68Input temperature 2:75Input temperature 3:36Input temperature 4:91Input temperature 5:84Sorted temperature array in ascending order is 36 68 75 84 91The average temperature is 70.80The highest temperature is 91.00The lowest temperature is 36.00

Answers

Answer:

The program in C++ is as follows:

#include <iostream>

#include <iomanip>

using namespace std;

int* sortArray(int temp [], int n){

   int tmp;

   for(int i = 0;i < n-1;i++){

 for (int j = i + 1;j < n;j++){

  if (temp[i] > temp[j]){

   tmp  = temp[i];

   temp[i] = temp[j];

   temp[j] = tmp;   }  } }

return temp;

}

float average(int temp [], int n){

   float sum = 0;

   for(int i = 0; i<n;i++){

       sum+=temp[i];    }

   return sum/n;

}

int main(){

   int n;

   cout<<"Number of temperatures: ";    cin>>n;

   while(n>10){

       cout<<"Number of temperatures: ";    cin>>n;    }

   int temp[n];

   for(int i = 0; i<n;i++){

       cout<<"Input temperature "<<i+1<<": ";

       cin>>temp[i];    }

   int *sorted = sortArray(temp, n);

   cout<<"The sorted temperature in ascending order: ";

   for( int i = 0; i < n; i++ ) {  cout << *(sorted + i) << " ";   }

   cout<<endl;

   float ave = average(temp,n);

   cout<<"Average Temperature: "<<setprecision(2)<<ave<<endl;

   cout<<"Highest Temperature: "<<*(sorted + n - 1)<<endl;

   cout<<"Lowest Temperature: "<<*(sorted + 0)<<endl;

   return 0;

}

Explanation:

See attachment for complete source file with explanation

Which control program flow options runs to the end of the code block and resumes the break mode at the statement that follows?

Answers

Answer:

Step Out

Explanation:

In the field of computer science, the control flow or the flow of control is defined as the order where the individual statements, [tex]\text{function calls}[/tex] or instructions of a program are [tex]\text{evaluated or executed. }[/tex]

The Step Out control flow program runs to the [tex]\text{end of the code block}[/tex] and it resumes the [tex]\text{break mode}[/tex] at the statement that it follows.

_____ is one of the Rs involved in design and implementation of any case-based reasoning (CBR) application.

Answers

Answer:

Group of answer choices

React

Reserve

Reason

Retain

I am not sure if its correct

Retain is one of the Rs involved in design and implementation of any case-based reasoning (CBR) application.

What is Case Based Reasoning?

Case-based reasoning (CBR) is a known to be a form of artificial intelligence and cognitive science. It is one that likens the reasoning ways as primarily form of memory.

Conclusively, Case-based reasoners are known to handle new issues by retrieving stored 'cases' and as such ,Retain is one of the Rs that is often involved in design and implementation of any case-based reasoning (CBR) application.

Learn more about Retain case-based reasoning  from

https://brainly.com/question/14033232

Should you remove jewelry, pens, and other metal objects before entering the magnetic resonance (MR) environment even if the equipment is not in use?

Answers

Answer:

Yes you should

Explanation:

When you are about to enter the mr the best thing you should do is to take off any form of metallic objects that you may have on you this could be a wrist watch, it could be other forms of accessories such as hair clips, keys or even coins. having any of these objects on you could cause a person to have an injury.

This is because this object could change its position when in the room also it could cause signal losses and could also make objects unclear for the radiologist

Why input screens are better data entry than entreing data dirrctly to a table

Answers

Answer:

are better data entry designs than entering data directly to a table. ... hence a user can design input fields linked to several tables/queries.

Explanation:

Input screens are better data entry designs than entering data directly to a table because a user can design input fields linked to several tables/queries.

What is digital information?

Digital information generally consists of data that is created or prepared for electronic systems and devices such as computers, screens, calculators, communication devices. These information are stored by cloud.

They are converted from digital to analog and vice versa with the help of a device.

Data entered in the table directly is easier than data entry method.

Thus, input screens are better data entry than entering data directly to a table.

Learn more about digital information.

https://brainly.com/question/4507942

#SPJ2

Web-Based Game that serves multiple platforms
Recommendations
Analyze the characteristics of and techniques specific to various systems architectures and make a recommendation to The Gaming Room. Specifically, address the following:
1. Operating Platform: Recommend an appropriate operating platform that will allow The Gaming Room to expand Draw It or Lose It to other computing environments.>
2. Operating Systems Architectures:
3. Storage Management:
4. Memory Management:
5. Distributed Systems and Networks:
6. Security: Security is a must-have for the client. Explain how to protect user information on and between various platforms. Consider the user protection and security capabilities of the recommended operating platform.>

Answers

Answer:

Here the answer is given as follows,

Explanation:

Operating Platform:-  

In terms of platforms, there are differences between, mobile games and pc games within the way it's used, the operator, the most event play, the sport design, and even the way the sport work. we all know that each one the games on console platforms, PC and mobile, have their own characteristic which has advantages and disadvantages All platforms compete to win the rating for the sake of their platform continuity.  

Operating system architectures:-  

Arm: not powerful compared to x86 has many limitations maximum possibility on arm arch is mobile gaming.  

X86: very powerful, huge development so easy to develop games on platforms like unity and unreal, huge hardware compatibility and support  

Storage management:-  

On the storage side, we've few choices where HDD is slow and too old even a replacement console using SSD. so SSD is the suggested choice. But wait SSD have also many options like SATA and nvme.    

Memory management:-  

As recommended windows, Each process on 32-bit Microsoft Windows has its own virtual address space that permits addressing up to 4 gigabytes of memory. Each process on 64-bit Windows features a virtual address space of 8 terabytes. All threads of a process can access its virtual address space. However, threads cannot access memory that belongs to a different process.  

Distributed systems and networks:-  

Network-based multi-user interaction systems like network games typically include a database shared among the players that are physically distributed and interact with each other over the network. Currently, network game developers need to implement the shared database and inter-player communications from scratch.  

Security:-  

As security side every game, there's an excellent risk that, within the heat of the instant, data are going to be transmitted that you simply better keep to yourself. There are many threats to your IT.  

Define on the whole data protection matters when developing games software may cause significant competitive advantages. Data controllers are obliged under the GDPR to attenuate data collection and processing, using, as an example , anonymization or pseudonymization of private data where feasible.

Suppose that you write a subclass of Insect named Ant. You add a new method named doSomething to the Ant class. You write a client class that instantiates an Ant object and invokes the doSomething method. Which of the following Ant declarations willnot permit this? (2 points)I. Insect a = new Ant ();II. Ant a = new Ant ();III. Ant a = new Insect ();1) I only2) II only3) III only4) I and II only5) I and III only

Answers

Answer:

5) I and III only

Explanation:

From the declarations listed both declarations I and III will not permit calling the doSomething() method. This is because in declaration I you are creating a superclass variable but initializing the subclass. In declaration III you are doing the opposite, which would work in Java but only if you cast the subclass to the superclass that you are initializing the variable with. Therefore, in these options the only viable one that will work without error will be II.

View "The database tutorial for beginners" and discuss how database management systems are different from spreadsheets. Describe one experience you have had working with data.

Answers

Answer and Explanation:

A spreadsheet is an interactive computer application for the analysis and storage of data. The database is a collection of data and accessed from the computer system. This is the main difference between spreadsheets and databases. The spreadsheet is accessed by the user and the database is accessed by the user. The database can store more data than a spreadsheet. The spreadsheet is used for tasks and used in enterprises to store the data. Spreadsheet and database are two methods and the main difference is the computer application that helps to arrange, manage and calculate the data. The database is a collection of data and organized to access easily. Spreadsheet applications were the first spreadsheet on the mainframe. Database stores and manipulates the data easily. The database maintains the data and stores the records of teachers and courses. The spreadsheet is the computer application and analyzing the data in table form. The spreadsheet is a standard feature for productive suite and based on an accounting worksheet.

If you fail a course as a MAIN (residency) course, you can repeat that course as either a MAIN (residency) or an online (IG or IIG) course. True False

Answers

Answer: False

Explanation:

The statement that "you fail a course as a MAIN (residency) course, you can repeat that course as either a MAIN (residency) or an online (IG or IIG) course" is false.

It should be noted that if one fail a course as a residency course, the course can only be repeated as a main (residency) course and not an online course. When a course is failed, such course has to be repeated the following semester and this will give the person the chance to improve their GPA.

A user reports network resources can no longer be accessed. The PC reports a link but will only accept static IP addresses. The technician pings other devices on the subnet, but the PC displays the message Destination unreachable. Wh are MOST likley the causes of this issue?

Answers

Answer: is this a real question but I think it would be Ip address hope this helps :)))

Explanation:

A student registers for a course in a university. Courses may have limited enrollment i.e a student must
enroll atmost 9 credit hours, the registration process must include checks that places are available. Assume
that the student accesses an electronic course catalog to find out about available courses. Which design
model should be followed by this secenario? Draw any two UML diagrams.

Answers

Answer:

Follows are the complete question to the given question:

Explanation:

The UML scheme is a UML-based diagram intended to depict the system visually, together with its key actors, roles, activities, objects, and classes, to gather information the about system, change that, or maintain it.

Every complex process is better understood via sketches or pictures. These diagrams have a higher understanding effect. By glancing about, we notice that diagrams are not a new idea but are widely used in various business types. To enhance understanding of the system, we prepare UML diagrams. There is not enough of a single diagram to represent all aspects of the system. You can also create customized diagrams to satisfy your needs. Iterative and incremental diagrams are usually done.

There are two broad diagram categories and that they are broken into subclasses again:

Diagram structureDiagrams of behavior

Please find the graph file of the question in the attachment.

Which of the following was one reason why electronic (computer-based) information sharing was challenging in the not too distant past?
a. Individuals and/or members of organizations did not speak the same language.
b. Hardware and software applications on either end could not talk to one another.
c. The most powerful computers were owned by large companies.
d. Organizations needed to protect information for competitive advantage.

Answers

Answer:

B. Hardware and software applications on either end could not talk to one another.

Explanation:

The answer to this question is that making connection to the internet used to be very slow, it's operation was difficult and so was its maintenance. Therefore they could be said to be unreliable at the time making electronic information sharing difficult as well as challenging. From this explanation the right answer to this question is answer option b.

Thank you.

Usually, in organizations, the policy and mechanism are established by the:

CEO

Team of Exectives

Board of Directors

Stakeholders

none of these

Answers

Answer:

Team of exectives

Explanation:

This is right answer please answer my question too

discuss the first three phases of program development cycle​

Answers

Answer:

Known as software development life cycle, these steps include planning, analysis, design, development & implementation, testing and maintenance.

Given below are some facts and predicates for some knowledge base (KB). State if the unification for either variable x or y is possible or not. If the unification is possible then show the unified values for variables x and y.

a. American (Bob), American (y)
b. Enemy (Nono, America), Enemy(x,y)
c. Weapon (Missile), soldTo (Missile, y), Weapon (x), soldTo (x, Nono)
d. L(x, y), (L(y, x) ^ L(A, B))

Answers

Answer:

Unification may be a process by which two logical individual atomic expressions, identical by replacing with a correct substitution. within the unification process, two literals are taken as input and made identical using the substitution process. There are some rules of substitution that has got to be kept in mind:

The predicate symbol must be an equivalent for substitution to require place.

The number of arguments that are present in both expressions must be equivalent.

Two similar variables can't be present within the same expression

Explanation:

a. American (Bob), American (y):-

In this scenario, Unification is feasible consistent with the principle. The substitution list is going to be [y/Bob].

b. Enemy (Nono, America), Enemy(x,y):-

In this scenario, the Unification is feasible consistent with the principles. The substitution list is going to be [x/Nono, y/America].

c. Weapon (Missile), soldTo (Missile, y), Weapon (x), soldTo (x, Nono):-

In this scenario, the Unification isn't possible because the predicate is different i.e. Weapon and soldTo.

d. L(x, y), (L(y, x) ^ L(A, B)):-

In this scenario, Unification isn't possible because the number of arguments is different within the given expression

Java !!!
A common problem in parsing computer languages and compiler implementations is determining if an input string is balanced. That is, a string can be considered balanced if for every opening element ( (, [, <, etc) there is a corresponding closing element ( ), ], >, etc).
Today, we’re interested in writing a method that will determine if a String is balanced. Write a method, isBalanced(String s) that returns true if every opening element is matched by a closing element of exactly the same type. Extra opening elements, or extra closing elements, result in an unbalanced string. For this problem, we are only interested in three sets of characters -- {, (, and [ (and their closing equivalents, }, ), and ]). Other characters, such as <, can be skipped. Extra characters (letters, numbers, other symbols) should all be skipped. Additionally, the ordering of each closing element must match the ordering of each opening element. This is illustrated by examples below.
The following examples illustrate the expected behaviour:
is Balanced ("{{mustache templates use double curly braces}}") should return true
is Balanced("{{but here we have our template wrong!}") should return false
is Balanced("{ ( ( some text ) ) }") should return true
is Balanced("{ ( ( some text ) } )") should return false (note that the ordering of the last two elements is wrong)
Write an implementation that uses one or more Stacks to solve this problem. As a client of the Stack class, you are not concerned with how it works directly, just that it does work.

Answers

Answer:

Explanation:

import java.util.*;

public class BalancedBrackets {

// function to check if brackets are balanced

static boolean isBalanced(String expr)

{

Stack<Character> stack = new Stack<Character>();

for (int i = 0; i < expr.length(); i++)

{

char x = expr.charAt(i);

if (x == '(' || x == '[' || x == '{')

{

// Push the element in the stack

stack.push(x);

continue;

}

if (stack.isEmpty())

return false;

char check;

switch (x) {

case ')':

check = stack.pop();

if (check == '{' || check == '[')

return false;

break;

case '}':

check = stack.pop();

if (check == '(' || check == '[')

return false;

break;

case ']':

check = stack.pop();

if (check == '(' || check == '{')

return false;

break;

}

}

// Check Empty Stack

return (stack.isEmpty());

}

public static void main(String[] args)

{

Scanner scan = new Scanner(System.in);

System.out.println("\nEnter the expression to check is balanced or not !");

String expr = scan.nextLine();

boolean output;

output = isBalanced(expr);

System.out.println(output);

if (output)

System.out.println("Balanced ");

else

System.out.println("Not Balanced ");

scan.close();

}

}

The conversion rate would be the highest for keyword searches classified as Group of answer choices buyers grazers researchers browsers

Answers

Answer:

buyers

Explanation:

Search engine optimization (SEO) can be defined as a strategic process which typically involves improving and maximizing the quantity and quality of the number of visitors (website traffics) to a particular website by making it appear topmost among the list of results from a search engine such as Goo-gle, Bing, Yah-oo etc.

This ultimately implies that, search engine optimization (SEO) helps individuals and business firms to maximize the amount of traffic generated by their website i.e strategically placing their website at the top of the results returned by a search engine through the use of algorithms, keywords and phrases, hierarchy, website updates etc.

Hence, search engine optimization (SEO) is focused on improving the ranking in user searches by simply increasing the probability (chances) of a specific website emerging at the top of a web search.

Typically, this is achieved through the proper use of descriptive page titles and heading tags with appropriate keywords.

Generally, the conversion rate is mainly designed to be the highest for keyword searches classified as buyers because they're the main source of revenue for a business and by extension profits.

2. Which tab is used to edit objects on the Slide Master and layouts?
A. View
B. Insert
C. Shape format
D. Design

Answer is not A. View
It’s B. Insert

Answers

Answer:

it is....insert tab..B

Explanation:

insert tab includes editing options

write a script to check command arguments. Display the argument one by one (use a for loop). If there is no argument provided, remind users about the mistake.

Answers

Answer and Explanation:

Using Javascript programming language, to write this script we define a function that checks for empty variables with if...else statements and then uses a for loop to loop through all arguments passed to the function's parameters and print them out to the console.

function Check_Arguments(a,b,c){

var ourArguments= [];

if(a){

ourArguments.push(a);}

else( console.log("no argument for a"); )

if(b){

ourArguments.push(b);}

else( console.log("no argument for b"); )

if(c){

ourArguments.push(c);}

else( console.log("no argument for c"); )

for(var i=0; i<ourArguments.length; i++){

Console.log(ourArguments[i]);

}

}

why concurrency control is needed in transaction.
And why Acid properties in transaction is important.

Answers

Explanation:

Concurrency Control in Database Management System is a procedure of managing simultaneous operations without conflicting with each other. It ensures that Database transactions are performed concurrently and accurately to produce correct results without violating data integrity of the respective Database.And The ACID properties, in totality, provide a mechanism to ensure correctness and consistency of a database in a way such that each transaction is a group of operations that acts a single unit, produces consistent results, acts in isolation from other operations and updates that it makes are durably stored.

Other Questions
98 POINTS!!!Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum. Question: Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4. What is the average rate of change? help me plz!!!!a. Calculate the solution concentration for each of the HCl samples. The first one has been done for you.b. As the concentration of the HCl solution increased, did the speed of the reaction increase or decrease?c. Therefore, as the concentration of a reactant increases, does the rate of the reaction increase or decrease?d. Do your predictions previous to this investigation agree with your results?e. Make a general rule about the effects of concentration of reactants on reaction rates. Organisms use glucose to store and transport energy.TrueFalse Find the area of the rhombus 16x7[(99-64)2] PLEASE HELP!!! Being fully present with others- paying attention to gestures, manner, and silence, as well as to what is said. lab reports of onion cell In column A, list jobs that will expose you to the work of each career. In column B, List volunteer jobs you coulddo that would put you in contact with an interesting career possibility. Y =x+Start OveryOF98654-10 -9-8-6-41149-89OT---6-9-9 According to the rational root theorem which of the following are possible roots for the function below x^4-29x^2+100 What is the exact value of tan (9 pi)/12 All I need is number one Examine the following expression.p squared minus 3 + 3 p minus 8 + p + p cubedWhich statements about the expression are true? Check all that apply.The constants, 3 and 8, are like terms.The terms 3 p and p are like terms.The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.The terms p squared, 3 p, p, and p cubed have variables, so they are like terms.The expression contains six terms.The terms p squared and p cubed are like terms.Like terms have the same variables raised to the same powers.The expression contains seven terms. Battle is making fruit baskets, which include apples and bananas to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit but the fruit should weigh no more than 80 ounces total. On average each apple weighs 5 ounces and each banana weighs 7 ounces. Here are the first five terms of a sequence. 4, 11, 22, 37, 56 Find an expression, in terms of , for the th term of this sequence. Ardi and Lei are both travelling by train. Ardi's train travels 70 km in 35 minutes. Lei's train travels 585 km. It leaves at 9:05 and arrives at 13:35. Work out the difference, in km/h, between the average speed of their trains. help pls American fur trappers __________.A) trapped in summer and winterB) trapped in fall and springC) rarely came into contact with Native Americans True or false?Persuasion is generally pretty easy. Write the sum of three odd consecutive integers if the last one is m-2 The graph below represents the distance of a dog from a trainer after a command is given.Which statement could describe the dogs movement 5 seconds after the command was given?The dog stopped to lie down and obey the trainers command.The dog was running towards the trainer to receive a treat.The dog was running away from the trainer to chase a squirrel.The dog was stopped but began running towards the trainer.