Consider a causal LTI system described by the following linear constant coefficient difference equation (LCCDE), 1 y(n) = 3Ry(n − 1) - 2 y(n − 2) + x(n) 2R Compute the followings: i. Impulse response of the system, h(n) ii. Step response of the system, s(n) iii. Sketch the pole-zero plot of the system and discuss the stability of the system. Use R=140.
Digital signals processing question.
kindly give detailed and accurate solution. Thank you!

Answers

Answer 1

Consider the LCCDE y(n) = 3Ry(n−1) − 2y(n−2) + x(n), where R = 140.1. Impulse Response of the system, h(n) The impulse response h(n) of the system is defined as the response of the system to an impulse input signal, i.e., x(n) = δ(n).

Thus, h(n) satisfies the difference equationy(n) = 3Ry(n−1) − 2y(n−2) + δ(n)Taking the z-transform of both sides, we getY(z) = 3RY(z)z^(−1) − 2Y(z)z^(−2) + 1On simplification, we geth(n) = [3R^n − 2^n]u(n)Hence, the impulse response of the system is given byh(n) = [3(140)^n − 2^n]u(n)2. Step Response of the system, s(n)The step response s(n) of the system is defined as the response of the system to a step input signal, i.e., x(n) = u(n).

Thus, s(n) satisfies the difference equationy(n) = 3Ry(n−1) − 2y(n−2) + u(n)Taking the z-transform of both sides, we getY(z) = (1+z^(−1))/[z^2−3Rz^(−1)+2] = [z^(−1) + 1]/[(z−2)(z−1)]Using partial fraction expansion,Y(z) = A/(z−2) + B/(z−1)On solving for A and B, we getA = −1/3, B = 4/3On simplification, we gets(n) = [−(1/3)2^(n+1) + (4/3)]u(n)Thus, the step response of the system is given bys(n) = [−(1/3)2^(n+1) + (4/3)]u(n)3. Pole-zero Plot of the system and Stability AnalysisThe transfer function of the system is given byH(z) = Y(z)/X(z) = 1/[z^2 − 3Rz^(−1) + 2]The characteristic equation of the system is given byz^2 − 3Rz^(−1) + 2 = 0On solving, we get the roots asz1, 2 = (3R ± √[9R^2 − 8])/2The pole-zero plot of the system for R = 140 is shown below:Since both the poles lie inside the unit circle, the system is stable.

Learn more about LTI system here,When the input to an LTI system is x[n] = u[n] + (2)"u[-n - 1], the corresponding output is y[n] = 5 u[n] – 5 u[n]. 3 (a...

https://brainly.com/question/32311780

#SPJ11


Related Questions

Which of the following is an example of a tax

Answers

Answer:

A tax is a monetary payment without the right to individual consideration, which a public law imposes on all taxable persons - including both natural and legal persons - in order to generate income. This means that taxes are public-law levies that everyone must pay to cover general financial needs who meet the criteria of tax liability, whereby the generation of income should at least be an auxiliary purpose. Taxes are usually the main source of income of a modern state. Due to the financial implications for all citizens and the complex tax legislation, taxes and other charges are an ongoing political and social issue.

I dont know I asked this to

Explanation:

Latane and Dabbs conducted a field experiment in elevators, in which bystanders were presented with an opportunity to help someone in need. This study indicated that help was most frequently offered when the bystander was __________ and the recipient was __________.

Answers

Latane and Dabbs' field experiment in elevators, where they investigated the conditions under which bystanders offered help to someone in need.

This study was conducted to examine the "bystander effect," which is the phenomenon where individuals are less likely to offer help to someone in need when there are other people around. In the experiment, it was found that help was more likely to be offered when there were fewer people present in the elevator (i.e., the bystander was alone or with fewer people), as this reduces the diffusion of responsibility.

Additionally, help was more frequently offered when the person in need showed clear signs of distress, as it made the situation more salient and the need for help more apparent.

To know more about Latane and Dabbs visit:-

https://brainly.com/question/29817234

#SPJ11

who is the strongest avenger i say hulk but who knows at this point

Answers

Answer:

or is the strongest evenger she hulk

Explanation:

?????????

Answer:

Thor!

Explanation:

In Thor: Ragnarok he beat the Hulk in order for Hulk to win thor had to be electrocuted and in Avengers: Endgame Thor is seen holding open the  "Floodgates" and withstanding the radiation from a dying star, also the fact that Thor is a god means that he is all powerful and the rightful heir to the throne to Asgard, plus the fact that he has defeated Loki multiple times a feat that not even the Hulk has done.

Identify and Apply Safety and Health care during work. ANALYSE THE FOLLOWING CARTOON DEPICTING DANGEROUS CONDITIONS: FIAMMANE FOR EXIT You are required to analyse this Illustrative case studies. In groups, (NOT MORE THAN FOUR), you must write a report on ALL these UNSAFE acts and UNSAFE conditions in this workshop. ​

Answers

Answer:

1. Unsafe Act: Employees in the cartoon are not wearing appropriate PPE (personal protective equipment) such as safety glasses, safety boots, and safety helmets.

2. Unsafe Condition: There is an inadequate ventilation system in the workshop, which could lead to the buildup of hazardous gases or vapors, putting workers in danger of breathing related illnesses.

3. Unsafe Act: The working area appears to be overcrowded, with workers standing too close together, which can increase the risk of slips, trips, and falls due to lack of sufficient space.

4. Unsafe Condition: The exit in the cartoon is not clearly marked, which can cause confusion and delay evacuation in case of an emergency.

Technician a says that all vehicles from the same manufacturer use the exact same power steering fluid. technician b says that some fluids may be incompatible with system seals. which technician is correct

Answers

The technicians have it right .The power steering system in a car uses the power of the engine to make it easier to turn the front wheels.

Power sterilizing fluid: what is it?

It is a technology that helps the driver control and steer the vehicle better.

There are options for either electric or hydraulic power steering systems. Fluid is used to deliver hydraulic pressure to a hydraulic system in order to assist in turning a car's wheels. Using an electric motor and a variety of sensors, an electric system determines how much assistance the system needs to provide based on the force applied by the driver to the steering wheel.

Read more about power steering fluid:

brainly.com/question/11627102

#SPJ4

At 1 atm, nitrogen (N2) molecules become a liquid below 77 K. Thus the vapor pressure of liquid nitrogen is 1 atm at 77 K. Use this information to estimate the binding energy of a nitrogen molecule within the liquid. Note: You may assume that the equilibrium condition for this system is NG/V = nre-A/KT', with ny =1.93 x 1031 m-3, and that the nitrogen gas is ideal.
a. 0.081 eV
b. 81 eV
c. 0.0081 eV
d. 0.81 eV
e. 8.1 eV

Answers

What did he sayyyyyyy

true or false? what is a clock.

Answers

Answer:

tralse

Explanation:

it just makes sense yk what I mean XD

im a genius.. brain.ly everyday,

Answer:

true or false makes no sense

Explanation:

a clock is something u use to tell time, like u look at it and be like omg my mom is getting old lol

What 2 things can you never eat for breakfast?

i know the answer but lets see if you do

Answers

Answer:

you can't eat your school computer or a pencil.

u can’t eat a shoe or clock

Special impact sockets and extensions are easily
identified because they are:
(A) chrome.
(B) aluminum.
(C) flat black
Durant la sto
(D) hard rubber.
les

Answers

Answer:

C

Explanation:

they are flat black

A robot with artificial intelligence would best be suited for

Answers

it would most likely be suited for helping people with hard work or things they cannot accomplish

Statement and decision testing exercise
Scenario: A vending machine dispenses either hot or cold drinks. If you choose a hot drink (e.g. tea or coffee), it asks if you want milk (and adds milk if required), then it asks if you want sugar (and adds sugar if required), then your drink is dispensed.

a. Draw a control flow diagram for this example. (Hint: regard the selection of the type of drink as one statement.)

b. Given the following tests, what is the statement coverage achieved? What is the decision coverage achieved? Test 1: Cold drink Test 2: Hot drink with milk and sugar

c. What additional tests would be needed to achieve 100% statement coverage? What additional tests would be needed to achieve 100% decision coverage?

Answers

To achieve 100% statement coverage, additional tests are needed to cover different combinations of drink preferences (milk and sugar). For 100% decision coverage, tests should cover both the selection of drink type and the decisions related to adding milk and sugar.

a. Control Flow Diagram:

Start

|

V

Choose Drink Type (Hot or Cold)

|

V

IF Hot Drink

|   |

|   V

|   Ask for Milk Preference

|   |

|   V

|   IF Milk Required

|   |   |

|   |   V

|   |   Add Milk

|   |   |

|   |   V

|   |   Ask for Sugar Preference

|   |   |

|   |   V

|   |   IF Sugar Required

|   |   |   |

|   |   |   V

|   |   |   Add Sugar

|   |   |   |

|   |   |   V

|   |   V

|   V

|   Dispense Hot Drink

|

V

ELSE (Cold Drink)

   |

   V

   Dispense Cold Drink

|

V

End

b. Given the tests:

Test 1: Cold drink

Test 2: Hot drink with milk and sugar

Statement Coverage achieved: The statement coverage achieved would be 10 out of 15 statements (66.7%).

Decision Coverage achieved: The decision coverage achieved would be 2 out of 3 decisions (66.7%).

c. Additional tests for 100% statement coverage:

Test 3: Hot drink without milk and sugar

Test 4: Hot drink with milk only

Test 5: Hot drink with sugar only

Test 6: Hot drink without milk and without sugar

Additional tests for 100% decision coverage:

Test 7: Cold drink

Test 8: Hot drink with milk and sugar

Test 9: Hot drink without milk and sugar

For more such questions on combinations visit:

https://brainly.com/question/31277307

#SPJ8

During peak systole, the heart delivers to the aorta a blood flow that has a velocity of 100cm/sec at a pressure of 120mmHg. The aortic root has a mean diameter of 25mm. Determine the force (Rz)acting on the aortic arch if the conditions at the outlet are a pressure of 110mmHg and a diameter of 21mm. The density of blood is 1050 kg/m3. Assume that aorta is rigid non-deformable and blood is incompressible and steady state. Ignore the weight of blood vessel and the weight of blood inside the blood vessel (i.e. body force is zero).

Answers

Solution :

Given :

Velocity, \($V_1 =100$\) cm/sec

Pressure,  \($P_1 = 120 $\) mm Hg

Then, \($P_1 = \rho_1 g h$\)

\($P_1 = 0.120 \times 13.6 \times 1000 \times 9.81$\)

    = 16.0092 kPa

\($P_2 = 110 $\) mm Hg

\($P_2 = \rho_2 g h$\)

    \($= 0.110 \times 13.6 \times 1000 \times 9.81$\)

    = 14.675 kPa

Then blood is incompressible,

\($A_1v_1=A_2v_2$\)

\($\frac{\pi}{4}(25)^2\times 100=\frac{\pi}{4}(21)^2\times v_2$\)

\($v_2=141.72 \ cm/s$\)

Then the linear momentum conservation fluid :

(Blood ) in y - direction

\($P_1A_1+ P_2A_2-F_g = m_2v_2-m_1v_1$\)

\($m_1=m_2=P_1A_1v_1$\)

              \($=1.50 \times \frac{\pi}{4}\times (0.025)^2 \times 1.00$\)

              = 0.515 kg/ sec

Then the linear conservation of momentum of blood in y direction.

\($P_1A_1+ P_2A_2-F_g = m_2v_2-m_1v_1$\)

\($16.0092 \times 1000 \times \frac{\pi}{4} \times (0.025)^2+14.675 \times 1000\times \frac{\pi}{4}\times (0.021)^2$\)

\($-F_y=0.515(-1.4172-1)$\)

7.858+5.0828- Fy = 0.515(-2.4172)

Fy = 14.1856 N

Contains tires, wheels, engine, transmission, and drive axle assembly.

Answers

What are you asking for

For the circuit shown in Figure below:
R1 = 10KOmega, R2= 1MOmega,
R3 = 10KOmega, R4 = 10KOmega, R5 = 150KOmega, R6 = 10KOmega. Find Av=Vo/Vi

For the circuit shown in Figure below: R1 = 10KOmega, R2= 1MOmega, R3 = 10KOmega, R4 = 10KOmega, R5 =

Answers

Answer:

  Av = -800

Explanation:

The gain to the output of the first op-amp is ...

  A1 = -R2/R1 = -1000/10 = -100

The gain of the voltage divider R3/R4 is ...

  A2 = R4/(R3+R4) = 10/(10+10) = 1/2

The gain of the second op-amp circuit from the positive terminal to the output is ...

  A3 = 1+ R5/R6 = 1 + 150/10 = 16

Then the total circuit gain is ...

  Av = A1×A2×A3 = (-100)(1/2)(16)

  Av = -800

_____

Additional comment

In the above, we have assumed ideal op-amps, with infinite gain and infinite input impedance. The resistor values used in the calculations are all Kohms, so we can avoid writing unnecessary zeros.

What is promotion? a company's portion of the total industry sales for a certain type of product the value placed on a product, usually given in monetary terms determining how to get the product to the right people, in the right amounts, at the right time and place any form of communication that a business uses to inform, persuade, or remind potential customers about their products

Answers

Promotion is any form of communication that a business uses to inform, persuade, or remind potential customers about their products. The goal is to raise awareness, draw attention to, and encourage consumers to purchase the product over competing options.

All of the activities that inform consumers about a product, brand, or service are referred to as promotions.

Companies communicate about sales promotions through a variety of media, including printed materials like posters, coupons, direct mail pieces, and billboards; radio and television commercials; and digital media like text messaging, email, websites, and social media, among others.

Follow the link below to learn on promotion strategies

https://brainly.com/question/14772910

#SPJ4

Hey guys can anyone list chemical engineering advancement that has been discovered within the past 20 years

Answers

Top 10 Emerging Technologies in Chemistry
Nanopesticides. The world population keeps growing. ...
Enantio selective organocatalysis. ...
Solid-state batteries. ...
Flow Chemistry. ...
Porous material for Water Harvesting. ...
Directed evolution of selective enzymes. ...
From plastics to monomers. ...

1. Plot the normal and shear components of stress on the fictitious element relative to (1) Cartesian coordinator system, (2) a cylindrical coordinator system, and (3) a spherical coordinate system. Note: Your drawing should be by hand and in a 3D manner. Write the stress notation in matrix form for three coordinator systems. Explain the biological motivations for using the above three coordinator systems.

Answers

Answer:

d

Explanation:

Why is the reversed Carnot cycle executed within the saturation dome not a realistic model for refrigeration cycles?

Answers

Explanation:

The paths of warmth and job interactions are inverted by repeating the Carnot process. A Carnot fridge or a Carnot heating system is considered a fridge or heat engine that acts on the reverse Carnot cycle.

The Carnot process comprises liquid phase mixture compression and expanding, which limits mechanical components.

Draw a DFD(level-0) of an online shopping management system.

Answers

A level-0 DFD of an online shopping management system would consist of a single process representing the system as a whole.

In this level-0 DFD, the process represents the online shopping management system itself. It encapsulates all the functions and activities related to the system, such as product browsing, shopping cart management, order processing, and payment handling. The inputs to the system would typically include user requests for products, while the outputs would include order confirmations, invoices, and updates to the inventory.

The process interacts with external entities, such as customers and suppliers, who provide the necessary inputs and receive the outputs generated by the system.

The purpose of this level-0 DFD is to provide an overview of the system's functionality and its interactions with external entities. It helps in understanding the high-level flow of information and processes within the online shopping management system. However, it does not provide details about the internal workings of the system or the specific data flows between internal processes. Those details would be captured in subsequent levels of DFDs.

Learn more about level-0 DFD

brainly.com/question/31323932

#SPJ11

Which of the following represents the sum of all numbers between 0 and 21 inclusively - None of these - Σ21 i=1 i + 1 - Σ10 i=1 i
- Σ21 i=1 i

Answers

Answer:

The sum of all numbers between 0 and 21 inclusively can be represented as Σ21 i=1 i, so the correct answer is: Σ21 i=1 i.

Explanation:

QUESTION 3 Explain the earthing systems relevant to SANS 10142-1.​

Answers

Circuitry known as an earthing system links various electrical circuit components to the ground. It influences how strong and evenly short circuit currents are distributed throughout the system, as well as the consequences they have on the surrounding machinery and people.

What is an electrical circuit?

An electrical circuit is a system that connects electrical components or a model of such a system made out of electrical components. A network of closed loops that provides a path for the current to return is an electrical circuit.

A lamp, an electric motor, a computer, and connecting wires or transmission lines are examples of electrical circuit-using equipment. An electric circuit also contains a device that provides energy to the charged particles that make up the current, such as a battery or a generator.

To learn more about an electrical circuit, use the link given
https://brainly.com/question/2969220
#SPJ9

What is the maximum number of points a player can score during a frame of snooker while curving around at a 45 degree angle going at a speed of 2 miles per hour with the wind speed of 2 mph on a rug coated snooker table?

Answers

In snooker, the maximum number of points that can be scored during a single frame is 147. This is achieved by potting all 15 red balls, each worth 1 point, and subsequently potting the colored balls in sequence: yellow (2 points), green (3 points), brown (4 points), blue (5 points), pink (6 points), and black (7 points). Each color is then returned to its original position and can be potted again for additional points.

The angle and wind speed mentioned in your question are not relevant to determining the maximum number of points in a snooker frame. The speed and direction of the balls are controlled by the player's shots, and the rug coating on the table doesn't affect the scoring.

So, regardless of the angle, wind speed, or table surface, the maximum number of points that can be scored in a frame of snooker is 147.

Proper, smooth shifting is important because if you shift before your vehicle is ready

Answers

Proper, smooth shifting is important because shifting before your vehicle is ready will cause it to je-rk forward and your drive wheels may lock.

How to properly shift your gears?

A proper, smooth shifting of the gears of an automobile vehicle is very important because shifting them before the vehicle is ready would cause the following:

Jer-king forward. Lock of the drive wheels.Loss of control of the vehicle.

As a good driver, proper, smooth shifting is important because shifting before your vehicle is ready will cause it to je-rk forward and your drive wheels may lock.

Read more on good drivers here: https://brainly.com/question/1071840

#SPJ1

The model of a certain mass-spring-damper system is 10 x
¨
+c x
˙
+20x=f(t) NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine its resonant frequency ω r

and its peak magnitude M r

, when ζ=0.1. The resonant frequency is determined to be The peak magnitude is determined to be

Answers

The model of a certain mass-spring-damper system is given as follows:10x¨+cẋ+20x=f(t)where f(t) is the input force applied to the mass m and x(t) is the displacement of the mass from its equilibrium position at time t.

The resonant frequency of the mass-spring-damper system can be found using the following formula:ωr=ωn√(1-2ζ^2)where,ωn=√(k/m) = natural frequency of the systemζ = damping ratio of the system, and c = 2ζωn m, where m = mass of the system.r = ωn√(1-2ζ^2)Given that ζ=0.1, we can find the resonant frequency as follows:r = ωn√(1-2ζ^2)Let's find the natural frequency of the system first.k = 20, m = 10, andωn=√(k/m)=√(20/10)=√2Thus,ωn=√2c = 2ζωn m = 2(0.1)(√2)(10) = 4√2Thus,c=4√2Substituting the values of ωn and ζ, we get:r = ωn√(1-2ζ^2)r = (√2)√(1-2(0.1)^2)r = 1.38 rad/sThus, the resonant frequency of the mass-spring-damper system is 1.38 rad/s.The peak magnitude M of the mass-spring-damper system can be found using the following formula:M = f0/2ζωnwhere f0 is the amplitude of the input force applied to the mass m.When the system is subjected to an input force of f0 = 1, we can find the peak magnitude of the system as follows:M = f0/2ζωn=1/2(0.1)(√2)(10)=1.78Thus, the peak magnitude of the mass-spring-damper system is 1.78.

To know more about displacement visit:

https://brainly.com/question/11934397

#SPJ11

A three phase signalized intersection has a sum of critical flow ratios of 0.6 and a lost time of 4 seconds per phase. If the critical intersection v/c ratio is 0.9, what optimum cycle length should be used for design purposes

Answers

The critical flow ratio (C) of an intersection is the percentage of saturation flow rate or discharge rate of a lane or group of lanes that results in the highest efficiency.

Saturation flow rate is the highest number of vehicles that can pass through an intersection in a given amount of time, typically expressed in vehicles per hour. When a road is fully loaded and congested, the number of vehicles that can move through it is known as the saturation flow rate.

The lost time is the time used by drivers to respond to the green signal, come to a stop at the intersection, and begin moving in the new direction once the signal changes. It is the time period between the end of the green phase and the start of the opposing traffic's green phase, when there are no vehicles crossing or turning left.

To know more about vehicles visit:

https://brainly.com/question/13390217  

#SPJ11

Why is it nearly impossible to obtain satisfactory performance from a shunt motor connected to an ac power source

Answers

Answer:

Because the shunt winding consist of a large number of turns,

Explanation:

It is nearly impossible to obtain satisfactory performance from a shunt motor connected to an ac power source because the shunt winding consist of a large number of turns, due to the high number of turns that the DC shunt motor has it develops a high impedance when connected to an ac power source. and due  to this high impedance the amount of current that flows through the field will be very low making it nearly impossible for the shunt motor to operate properly

WHAT ALLOWS NEGATIVE FEEDBACK TO CONTROL A SYSTEM

Answers

Answer:

Negative feedback control of the amplifier is achieved by applying a small part of the output voltage signal at Vout back to the inverting ( – ) input terminal via the feedback resistor, Rf.

Explanation:

Smartness

Answer:

Negative feedback control of the amplifier is achieved by applying a small part of the output voltage signal at Vout back to the inverting ( – ) input terminal via the feedback resistor, Rf.

Explanation:

A horizontal force P is applied to a 130 kN box resting on a 33 incline. The line of action of P passes through the center of gravity of the box. The box is 5m wide x 5m tall, and the coefficient of static friction between the box and the surface is u=0.15. Determine the smallest magnitude of the force P that will cause the box to slip or tip first. Specify what will happen first, slipping or tipping.

A horizontal force P is applied to a 130 kN box resting on a 33 incline. The line of action of P passes

Answers

Answer:

SECTION LEARNING OBJECTIVES

By the end of this section, you will be able to do the following:

Distinguish between static friction and kinetic friction

Solve problems involving inclined planes

Section Key Terms

kinetic friction static friction

Static Friction and Kinetic Friction

Recall from the previous chapter that friction is a force that opposes motion, and is around us all the time. Friction allows us to move, which you have discovered if you have ever tried to walk on ice.

There are different types of friction—kinetic and static. Kinetic friction acts on an object in motion, while static friction acts on an object or system at rest. The maximum static friction is usually greater than the kinetic friction between the objects.

Imagine, for example, trying to slide a heavy crate across a concrete floor. You may push harder and harder on the crate and not move it at all. This means that the static friction responds to what you do—it increases to be equal to and in the opposite direction of your push. But if you finally push hard enough, the crate seems to slip suddenly and starts to move. Once in motion, it is easier to keep it in motion than it was to get it started because the kinetic friction force is less than the static friction force. If you were to add mass to the crate, (for example, by placing a box on top of it) you would need to push even harder to get it started and also to keep it moving. If, on the other hand, you oiled the concrete you would find it easier to get the crate started and keep it going.

Figure 5.33 shows how friction occurs at the interface between two objects. Magnifying these surfaces shows that they are rough on the microscopic level. So when you push to get an object moving (in this case, a crate), you must raise the object until it can skip along with just the tips of the surface hitting, break off the points, or do both. The harder the surfaces are pushed together (such as if another box is placed on the crate), the more force is needed to move them.

mechanical properties of organic materials

Answers

The mechanical properties of organic solids most relevant to deformable devices include the elastic modulus (usually obtained as the tensile or Young's modulus),(109) elastic range and yield point,(110) toughness,(111) and strain to fracture(31

The introduction of this material into the nineteenth-century industrial age forever changed architectural style and scale. Group of answer choices mortar steel hexagonal plates precast concrete

Answers

The introduction of steel into the nineteenth-century industrial age changed the architectural style and scale forever.

What is steel?

Steel can be defined as hard, strong, tough grey (bluish-grey) alloy of iron and carbon that is typically used as a structural and fabricating material in Civil engineering and architecture.

During the industrial age of the nineteenth-century, the introduction of steel changed the architectural style and scale forever.

Read more on steel here: https://brainly.com/question/1836801

#SPJ1

Other Questions
why ionic compound are good conduct of electricity in their molten state ?? PC=3x+7, can you find PC? A remnant of the dowry tradition that persists in Europe, the United States, and Canada is the custom of __________. b. 1/2 of 4/5 = ____ fifth(s) A physics book of unknown mass is dropped 4.35 m. What speed does the book have just before it hits the ground Allusion is a reference to history, the bible, or mythology. Identify the allusion in paragraph 9? Which type of allusion is this? the gift of the magi story How many variables are in the expression.8d+2bc+ 10ab1234 HELPPPSolve for x and graph the solution on the number line below.-x - 8 -15 and -18 -x - 8 [3 marks] A particle of mass 100 g executes simple harmonic motion about x = 0 with angular frequency = 10 s-1. Its total mechanical energy is Etot = 0.45 J. Find the displacement of the particle when its speed is 2 m/s. [3 marks] how do i multiply fractions? Rewrite 4/6 : 1/3 as a unit rate A. 2:1B. 2:9C. 12:9D. 12:6 what is one concern about GM crops?tick on box GM crops will add to global warming GM crops will cause air pollution GM crops will harm wildlife GM crops will produce too much food Which of the following people would most likely be described as obscure?A. a forgotten composerOB. a talentless celebrityoC. a famous musicianD. a popular writer Tell whether the ordered pair (4, -2) is a solution to2x - y > -5y help me please?It is important to be an effective speaker when delivering a speech in public. As a public speaker, what qualities are the most important to you to be an effective one? Give at least 3 and explain each. Use a calculator to find 0 to the nearest tenth of the degree, if 0 < 0 < 360 andcos 0 = 0.5446 with 6 in O1. What led to the growth of the slave trade in the American colonies? Which graph represents the function f(x) = |x + 31?O5-32-vou4--6-5-4-3-2-1.-2--3+-4--61C2 3 4 5+Xx help with this question..... 7. What happens when the sounds that adolphin makes hit an object?A(B)The object moves back and forth.The sound of clicks and whistles canbe heard.Tiny echoes bounce back to the dolphiThe dolphin swims away.