Which of the following is an example if harmonic motion?

Which Of The Following Is An Example If Harmonic Motion?

Answers

Answer 1

Answer:

"A pendulum swinging back and forth" is an example of harmonic motion

X = Xo cos ω t

Explains the back and forth motion of the pendulum


Related Questions

Convert the orbital period 27.32 days into units of seconds

Answers

Answer:

[tex]2360448seconds[/tex]

Explanation:

Dimensional analysis is attached.

a 20-kg object travelling at 20 m/s collides head on with an 18-kg object travelling at 17 m/s.If they were locked together after the collision, what is their velocity?.​

Answers

Answer:

2.47 m/s

Explanation:

Momentum = Mass X Velocity

If they were locked together, it means its a perfectly inelastic collision. Therefore,

Total momentum before = Total momentum after

Total momentum before = (20 X 20) - (18 X 17)

= 94

Total momentum after = 94

Y = Object speed after collision

94 = (20+18)Y

Y = 2.47368421 m/s

A gyroscope flywheel of radius 2.12 cm is accelerated from rest at 16.2 rad/s2 until its angular speed is 1820 rev/min. (a) what is the tangential acceleration of a point on the rim of the flywheel during this spin-up process

Answers

The tangental acceleration of the flywheel of  radius 2.12 cm with a final angular velocity of 1820 rev/min and an angular acceleration of 16.2 rad/s is 0.34 m/s².

What is tangental acceleration?

This is the rate of change of tangental velocity of an object in circular motion.

To calculate the tangental acceleration, we use the formula below.

Formula:

a = αr............. Equation 1

Where:

a = Tangental accelerationr = radius of the flywheelα = Angular acceleration of the flywheel.

From the question,

Given:

r = 2.12 cm = 0.0212 mα = 16.2 rad/s²

Subsitute these values into equation 1

a = (0.0212×16.2)a = 0.34 m/s²

Hence, The tangental acceleration of the flywheel of  radius 2.12 cm with a final angular velocity of 1820 rev/min and an angular acceleration of 16.2 rad/s is 0.34 m/s².

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What resultant force is required to accelerate a 1600kg automobile uniformly from 8m/s to 30m/s in 10s?​

Answers

Answer:

3520

Explanation: Force = Mass x Acceleration [∴ or F = ma]. Given values. mass, m = 1600 kg; initial velocity, u = 8 m/s; final velocity, v = 30 m/s; time taken, t = 10 s.

Proper use of the friction zone makes it easier to:.

Answers

Friction is the opposition offered to the movement of a surface on another and depends on the nature of the surfaces in contact.

What is friction?

The term friction refers to the opposition that is offered by surfaces in contact when they move over each other. The question is incomplete but I will try to help you the much I can.

Now recall that fricton only depends on the nature of the surfaces in contact. The friction is te reason when heat is provides in the moving parts of machines.

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explain the concept of force by practical examples of daily life​

Answers

Answer:

a bicycle moving

Explanation:

due to the force that is applied towards the wheels of a bicycle and also gravitation the wheels. of a bicycle are therefore able to move

If a wave has a frequency of 50 Hz and a wavelength of 2 meters.
Find its speed.

Answers

Answer:

100 m/s

Explanation:

here we use the wave equation which states that the velocity is equal to the product of the frequency and the wavelength.

so v = 50 × 2

v = 100 m/s

] After treatment, hospital equipment may become contaminated.
Describe the level of the hazard associated with contamination with technetium-99.
You should include in your answer a description of how the level of hazard changes
over time.

Answers

Answer:

below

Explanation:

The primary hazard when working with technetium is inhalation of dust; such radioactive contamination in the lungs can pose a significant cancer risk. All technetium compounds should be regarded as highly toxic, largely because of its radiological toxicity. Once in the human body, Tc-99 concentrates in the thyroid gland and the gastrointestinal tract. The body, however, constantly excretes Tc-99 once it is ingested.

A 150- branch in a circuit must be reduced to 93 . A resistor will be added to this branch of the circuit to make this change. What value of resistance should be used and how must the resistor be connected

Answers

The value of resistance that should be used is 244.74 Ohms and the resistor must be connected in parallel.

Given the following data:

Initial resistance, R₁ = 150 Ohms.Final resistance, R₂ = 93 Ohms.

What is a parallel circuit?

A parallel circuit can be defined as an electrical circuit with the same potential difference (voltage) across its terminals.

In order to determine the magnitude of a resistor that should be added to this branch of the circuit, the electrical circuit would be connected as a parallel circuit.

Next, the total effective resistance of this electrical circuit is given by:

RT = (R₁ × R₂)/(R₁ - R₂)

RT = (150 × 93)/(150 - 93)

RT = 13950/57

RT = 244.74 Ohms.

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A saddle weighs 250 newtons. The mass of the saddle is __________ kilograms. Use g = 9.8 N/kg for gravity.

Answers

Answer:

saddle weighs 250 newtons. The mass of the saddle is ____250/9.8 kg______ kilograms. Use g = 9.8 N/kg for gravity.

Imagine that our Sun were magically and suddenly replaced by a black hole of the same mass (1 solar mass). How would Earth's orbit change

Answers

There is no effect on earth's orbit due to similar force of gravity of black hole.

How would Earth's orbit change?

If our Sun was replaced with a black hole having the same mass, Earth's orbit will not changed because of the same force of gravitation of balck hole on earth. Due to this replacement, Earth's temperature will change because balck hole is not too hot like sun.

So we can conclude that there is no effect on earth's orbit due to similar force of gravity of black hole.

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Question 4

20 pts

A student connects a length of unknown

material in series with a battery and an

ammeter (which measures current flow).

When the circuit is complete, the ammeter

reads that no current is flowing.

The unknown material is most likely –

Insulator

Semiconductor

Superconductor

Conductor

Answers

If current did not flow in the circuit, it simply implies that the material is an insulator.

What is an insulator?

An insulator is a material that does not conduct electricity. A circuit is a  path  that is provided for the flow of current.

If this material was connected into a complete circuit yet current did not flow in the circuit, it simply implies that the material is an insulator.

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What are the advantages and disadvantages to whole-tire recycling?

Answers

Given what we know, we can confirm that whole-tire recycling has advantages for the environment, as well as economic disadvantages.

What are the Pros and Cons of recycling tires?

Tires are made from rubber mixed with other substances such as steel and certain polyester fibers. This makes the tires a poor source of rubber and said rubber would not be of great quality when recycling, this along with the high cost of the process entails the disadvantages of recycling tires. The advantage, however, is environmental, as tires take up a great portion of the space in landfills and greatly pollute the air when burning.

Therefore, we can confirm that whole-tire recycling has advantages for the environment, as well as economic disadvantages due to its poor quality material and high cost of recycling.

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If the gravitational force on an object is directly proportional to its mass, why don’t objects with large masses fall with greater acceleration than small ones?.

Answers

Heavier things have a greater gravitational force AND heavier things have a lower acceleration. It turns out that these two effects exactly cancel to make falling objects have the same acceleration regardless of mass.

Ers), and

1. A paintball with a mass of 0. 15 kg is fired from a paintball gun that has a mass of 5. 5 kg. The paintball leaves the

gun with a velocity of 45 m/s [N] having accelerated for only 0. 10 s. Calculate the acceleration and the final

velocity of the paintball gun.


Please help

Answers

Answer:

-13.5 m/s^2

-1.35m/s

Explanation

First, find the momentum of the paintball by using the formula [tex]p=mv[/tex].

[tex]p=0.15*45[/tex]

[tex]p = 6.75[/tex]

The next step would be to find the change of momentum of the gun. Since the gun was at rest it had a momentum of 0. Momentum acts in different directions equally, therefore we can set up the equation for the acceleration:

FΔt=Δp

Where F is force, Δt is the change of time and Δp is the change of momentum.

Since we solve for acceleration, we can convert F to ma to get:

maΔt=Δp

Substitute values:

5a*(0.1-0)=-6.75

5a=-67.5

a=-13.5

Our a is -13.5m/s^2, it's negative since the direction it's acting on is opposite of the paintball.

Now we can find velocity (and double-check our work!).

The first way to solve for velocity is:

[tex]V=Vi+at[/tex]

Where V is final velocity, Vi is initial, a is acceleration and t is time.

substitute values:

[tex]V=0-13.5*0.1\\V=-1.35m/s[/tex]

If we are correct, using the formula p=mv, we should get the same result (remember, our momentum is negative).

[tex]p=mv\\-6.75=5v\\-1.35m/s=v[/tex]

Hope this helps!

A transformer has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil. If the input voltage is 2,400 V, what is the output voltage? - this is for my physical science class

Answers

the output voltage of the transformer that has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil is 120 V

What is a transformer?

A transformer is an electrical device that transfer electric energy from one circuit to another.

To calculate the output voltage of the transformer, we use the formula below.

Formula:

V/V' = N/N'........... Equation 1

Where:

V = Primary/input VoltageV' = Secondary/output voltageN = Primary turnsN' = Secondary turns

Make V' the subject of the equation

V' = VN'/N........... Equation 2

From the question,

Given:

V = 2400 VN' = 50 turnsN = 1000 turns.

Substitute these values into equation 2

V' = (2400×50)/1000V' = 120 V

Hence, the output voltage of the transformer that has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil is 120 V.

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Infrared radiation is part of a 'family' of waves that also includes visible light and radio waves. What name is given to this 'family'? Give the full name, not the abbreviation.

Answers

Electromagnetic spectrum

Infrared radiation is a part of electromagnetic waves,which also include the visible light and radio waves.

What are electromagnetic waves?

The electromagnetic radiation consists of waves made up of electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.

The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.

In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.The position of an electromagnetic wave in an electromagnetic spectrum is characterized by it's frequency or wavelength.They are emitted by electrically charged particles which undergo acceleration and subsequently interact with other charged particles.

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What evidence supports the conclusion that a chemical reaction has occurred?

Answers

Answer:

Precipitation formed

Temperature change

fizzing and hissing

bubbles

change in state

Explanation:

Answer:

Precipitation formed

Temperature change

fizzing and hissing

bubbles

change in state

Explanation:

Answer 1-10 for branly all steps

Answers

The acceleration, a of the bodies given is the change in velocity with time and is given as follows:

a = 1.2 m/sa = 25 km/hra = 35.3 cm/mina = 7.125 km/mina = 1.69 m/sa = 108.1 m/hra = -1.0 cm/sa = 7.89 km/hra = 1.17 ft/sa = 3.13 km/hr

What is acceleration?

Acceleration is the rate of changeof velocity of an object with time.

Acceleration, a = change in velocity/time taken

For the given questions, the acceleration are as follow:

a = (40 - 10)/25 = 1.2 m/sa = (75 - 30)/1.8 = 25 km/hra = (90 - 60)/0.85 = 35.3 cm/mina = (77 - 20)/8 = 7.125 km/mina = (37 - 15)/13 = 1.69 m/sa = (40 - 0)/0.37 = 108.1 m/hra = (13 - 25)/12 = -1.0 cm/sa = (48 - 18)/3.8 = 7.89 km/hra = (52 - 38)/12 = 1.17 ft/sa = (43 - 17)/8.3 = 3.13 km/hr

Therefore, the acceleration of a body is either positive or negative.

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What is simple harmonic oscillation? express your answer verbally, mathematically, and visually.

Answers

Simple harmonic motion is the motion in objects where the restoring for d is directly proportional to the body displacement.

What is simple harmonic motion?

Simple harmonic motion a type of periodic motion where the force that restores moving object to it's right position is directly proportional to the magnitude of body's displacement and this normally acts towards the object's equilibrium position.

The formulate for simple harmonic motion are

,F = −kx, where F is the force, x is the displacement, and k is a constanst. An example of a simple harmonic oscillator is the vibration of a mass attached to a vertical spring.

Simple harmonic oscillator can be represented by the equation x ( t ) = A cos ⁡ ( 2 π f t ) x(t) = A\cos(2\pi f t) x(t)=Acos(2πft)x,

where t is period.

x is displacement

A is amplitude.

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This group of elements is in group 2?

Answers

Answer:

If you meant the Periodic Table it's the alkaline-earth metal

beryllium (Be)

magnesium (Mg)

calcium (Ca)

strontium (Sr)

barium (Ba)

radium (Ra)

Explanation:

A sample of an unknown substance has a mass of 0.465 kg. if 3,000.0 j of heat is required to heat the substance from 50.0°c to 100.0°c, what is the specific heat of the substance?

Answers

The specific heat of the substance will be 0.129 J/g°C.

What is specific heat capacity?

The amount of heat required to increase a substance's temperature by one degree Celsius is known as specific heat capacity.

Similarly, heat capacity is the relationship between the amount of energy delivered to a substance and the increase in temperature that results.

The given data in the problem is;

Q is the amount of energy necessary to raise the temperature = 3,000.0 j

M is the mass=  0.465 kg.

Δt is the time it takes to raise the temperature.=50°c

s stands for specific heat capacity=?

Mathematically specific heat capacity is given by;

[tex]\rm Q= MC \triangle t \\\\ C = \frac{Q}{M\triangle t} \\\\ C = \frac{3000}{0.465 \triangle 50} \\\\ C =129.0 J/Kg^0C \\\\ C= 0.129 J/g^0C[/tex]

Hence the specific heat of the substance will be 0.129 J/g°C.

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When working with a conservative force, it is generally easier to work with a potential energy function, which is a scalar, than to compute the work along some path from the forces and displacements, which are vectors. the change in the potential energy of an object depends only upon its initial and final position, but it is independent of the path undertaken to move between those positions. some effort is initially required to obtain the potential energy function. consider a block of mass m attached to the end of a horizontal hooke's law spring with spring constant k. the block is free to move along a frictionless horizontal surface, and displacements are measured from the equilibrium position of the spring, taken here as the origin of the coordinate system.

a = fs = - k x iì‚
b = ds = dx iì‚
c = dw = - k x dx
d = dus = k x dx

required:
a. a finite change in the potential energy may be obtained by integrating infinitesimal changes. what integral expressions is correct for this hooke's law spring?
b. perform the integrations, and input an expression for the change in the potential energy of the spring, also known as the elastic potential energy.

Answers

a. The integral expression for the change in potential energy of the spring is ΔU = ∫kxdx

b. The change in potential energy of the spring is ΔU = k(x₂² - x₁²)/2

Since we are given the differential elastic potential energy, du, to find the integral expression, we integrate du.

a. The integral expression for the change in potential energy of the spring

The integral expression for the change in potential energy of the spring is ΔU = ∫kxdx

Since the infinitesimal elastic potential energy of the spring du = kxdx, integrating both sides of the expression, we have

ΔU = ∫du

ΔU = ∫kxdx

So, the integral expression for the change in potential energy of the spring is ΔU = ∫kxdx

b. The elastic potential energy of the spring

The change in potential energy of the spring is ΔU = k(x₂² - x₁²)/2

Performing the integration for the change in potential energy of the spring

ΔU, we have that integrating for change in length from x₁ to x₂

ΔU = ∫kxdx

ΔU = k[x²/2]₁²

ΔU = kx₂²/2 - kx₁²/2

ΔU = k(x₂² - x₁²)/2

So, the change in potential energy of the spring is ΔU = k(x₂² - x₁²)/2

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i would appreciate your help​

Answers

Answer:

22.  C.  Pz > Py > Px

23.  B.  5.0 × 10⁴Pa

24.  B.  Upward thrust exerted by the liquid

25.  B.  The volume of the object immersed in the liquid decreases

26.  D.  When a body is wholly or partially immersed it experiences upthrust equal to the weight of the fluid displaced

Explanation:

22. The more you go deeper into the sea, the more the pressure of the water increases pushing down on you.

The reason why salt water is very dense is that when the salt dissolves in the water, it adds to the mass of the water, which makes the water more denser.

Due to this, we can assume that the water pressure exerted on the fish will be greater beneath the sea than the lake at the same depth.

Answer:   C. Pz > Py > Px

----------------------------------------------------------------------------------------------------------

23.

Given:

Density of water = 1000 kg m⁻³

Atmospheric pressure at sea level, Patm = 1.0 × 10⁵ Pa]

Depth of water in sea = 5m

To find the pressure exerted by the water on the fish, we use the formula: P = hpg

P = pressure

h = height or depth of water

p = density of water

g = gravitational field strength

We are given the depth and density, but not the gravitational field strength

Gravitational Field Strength:  Measures how much gravity there is

And since we live on earth, the gravitational field strength is 10 N/kg

Depth, h = 5m

Density, ρ = 1000 kg/m³

Gravitational Field Strength, g = 10 N/kg

Now we substitute these into the formula:

P = hpg

P = (5)(1000)(10)

Multiply 5 and 1000 to get 5000

P = 5000 × 10

Multiply 5000 and 10 to get 50000

P = 50000Pa

                                                                                                                                                                                                           

P = 5.0 × 10⁴Pa

Answer:   B. 5.0 × 10⁴Pa

----------------------------------------------------------------------------------------------------------

24. When a body is fully or partly immersed in a liquid, it undergoes an apparent loss in its weight due to upward thrust exerted by the liquid.

The upward thrust is the same as the weight of the fluid being displaced by an object.

Answer:   B. Upward thrust exerted by the liquid

----------------------------------------------------------------------------------------------------------

25.

When you add common salt to water it becomes denser, which can increase the mass and volume of the water. Due to water becoming denser, it can make an object thats less dense float. Also, density and volume are inversely proportional to each other, meaning that when density increases, volume decreases.

Answer:   B. The volume of the object immersed in the liquid decreases.

----------------------------------------------------------------------------------------------------------

26.

Achimede's principle states that:

Answer:   D. When a body is wholly or partially immersed it experiences upthrust equal to the weight of the fluid displaced.

Which types of electromagnetic waves have longer wavelengths than the waves that make up visible light? select three options. radio waves gamma rays microwaves infrared light ultraviolet light x-rays

Answers

Answer:

infrared light have longe rwave length

The three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.

What is an electromagnetic wave?

EM waves are another name for electromagnetic waves. Electromagnetic radiations are made up of electromagnetic waves created when an electric field collides with a magnetic field.

Electromagnetic waves may alternatively be defined as the combination of oscillating electric and magnetic fields. Maxwell's equations are solutions to electromagnetic waves.

Of all electromagnetic waves, radio waves have the longest wavelength.

Hence the three electromegnetic waves that have longer wavelengths that make up visible light will be microwaves, radio waves, and infrared light.

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Question #14:

An engine using 1 mol of an ideal gas initially at 18.5 L and 402 K performs a cycle
consisting of four steps:

1) an isothermal expansion at 402 K from 18.5 L to 41.2 L
2) cooling at constant volume to 273 K
3) an isothermal compression to its original volume of 18.5 L
4) heating at constant volume to its original temperature of 402 K

Find its efficiency. Assume that the heat capacity is 21 J/K and the universal gas constant is 0.08206 L · atm/mol/K = 8.314 J/mol/K.

Answers

The efficiency of the engine through the four steps cycle is 83.4%.

What is the efficiency of a machine?

The efficiency of a machine is the ratio of useful work done by the machine and the work done on the machine expressed as a percentage.

The efficiency of the engine is given by:

[tex]ɛ=\frac {W} {Q}[/tex]

where;

W is the work done in the four steps,Q is the energy input

Since there at four steps in a cycle:

[tex]ɛ=\frac {W_1+ W_2+W_3+W_4} {Q_1+Q_2+Q_3+Q_4}[/tex]

The work done in the first step (isothermal expansion) is given by:

[tex]W_1=nRT_1\ln{\frac {V_2} { V_1}}[/tex]

where:

n= 1 mole, T1 = 402 K, V2 = 41.2 L, V1 = 18.5 L

Substituting the values:

[tex]W_1 = 1 × 8.314 × 402 \times ln{\frac {41.2} {18.5}} = 2676.01 J \\ [/tex]

Steps 2 and 4 are constant volume processes, therefore;

[tex]W_2=W_4=0[/tex]

The work done in the third step (isothermal expansion) is given by:

[tex]W_3=nRT_3\ln{\frac {V_4} { V_3}} [/tex]

where;

n = 1 mol, T3 = 273 K, V4 = 41.2 L, V3 = 18.5 L

Substituting the values:

[tex]W_3 = 1 × 8.314 × 273 \times ln{\frac {41.2} {18.5}} = 1817.29 J \\ [/tex]

[tex]W_3 = 1 × 8.314 × 273 \times ln{\frac {41.2} {18.5}} = 1817.29 J \\ [/tex]Heat enters the system only during steps (1) and (4).

The internal energy of the gas increases in step 4 but no work is done, while the internal energy is constant change in step 1 but work is done by the gas.

Thus;

[tex]Q_2=Q_3=0[/tex]

The heat that enters the system during the isothermal expansion is given by:

[tex]Q_1=W_1[/tex]

The heat that enters the system on step 4 at constant volume is given by:

[tex]Q_4=C_V(T_4-T_3)[/tex]

where:

Cv =21 J/K, T3 = 273 K, T4 = 402 K

Substituting the values:

[tex]Q_4= 21 × (402 - 273) = 2709 \: J[/tex]

Solving for efficiency, ɛ:

[tex]ɛ=\frac {2676.01+ 0+0+1817.29} {2676.01+0+0+2709} = 83.4\%[/tex]

Therefore, the efficiency of the engine is 83.4%.

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what is the kinetic energy of the ball at position A

Answers

Answer:

Zero  j    

Explanation:

If the ball is not moving at A, it has zero K.E.

A girl kicks a soccer ball into the air. Which of these best explains why the soccer ball falls back to Earth?

a.the motion of the ball is changed by extreme forces

b.the acceleration of the ball is unstable

c.the force exerted on the ball is greater than gravity

d.the pressure on the ball changes with altitude ​

Answers

Answer:

a

that extreme force is gravity changing the moshon

a lamp for which converts 70 W out of every 20 W into thermal energy the lamp is being used for the sole purpose of the lighting room.
calculate the efficiency

Answers

Answer:

71 % eff

Explanation:

if 50 out of 70  watt goes to making light

50/70 = 71 %

How well do you think a model can demonstrate the principles of stratigraphy?

Answers

Stratigraphy is a discipline aimed at identifying layers of sedimentary and/or volcanic rocks, which is mainly based on the principle of superposition.

What is stratigraphy?

Stratigraphy refers to the science based on the identification of different layers in sedimentary and/or volcanic rocks.

Stratigraphy as a discipline is mainly cemented on the principle of superposition, which indicates that older layers of sediment are located on the bottom.

Stratigraphy allows us to understand the geological past of a region, which is important in different disciplines such as biogeography.

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PQRS is a rectangle and OS = 16. Find the blanks below:mmentsssionsSReslesbusPOzesdulesOQ =16BlueButtonaborationsPR =ogle Driveuce 365mZQRS =ogle Drive What does Montag do to convince Faber that he needs to care about things again? Find the length of b to the nearest tenth.(BRAINLIEST :D) THIS IS WORTH 100 POINTS-GIVE ME A GOOD ANSWER AND I WILL MARK YOU AS BRAINLEST Create a company, including the creation of a product or service.Next, create the advertising for that product or service to reach a target market. Advertising can include a flyer, brochure, commercial, video, website, etc. Make sure you are advertising to a target market.Finally, explain how you will use the elements of a marketing mix. Remember if you create a business that is an industry you need to use the 4P's (product, price, place, and promotion). If you choose to create a service business, you need to use the 7P's (product, price, place, promotion, people, process, and physical). a porsche, can travel 576 m in 32 s. what is its average speed? What organizations does the state commissioner of insurance entitled to join What is Mendelian inheritance Xan and Katie are twins. Xan weighs 666 pounds 999 ounces, and Katie weighs 888 pounds 111 ounce.What is the difference, in ounces, between Xan and Katie's weight? A liquid jet vj of diameter dj strikes a fixed cone and deflects back as a conical sheet at the same velocity. find the cone angle for which the restraining force f = (3/2)rhoajvj^2 . Who nominates a federal judge?A. The SenateB. The PeopleC. The President A rectangle is graphed on a coordinate plane. Thecoordinates for two of the vertices of the rectangle are(-5, 8) and (-5, -6). What is the distance betweenthe two vertices? WILL GIVE BRAINLIEST The points Q(0,1), R(-9,-5), s(-7, -8), and T(2,-2) form rectangle QRST. Plot the points then click the "Graph Quadrilateral" button. Then find the area of the rectangle. so whats 1,000 x 1,000? What is the resulting product of 4 8 and description of the product? Quick Question! Please help!Simplify using the rules of exponents:b^4 x (b^2) ^6A) b^12B) b^48C) b^16D) b^68 50 pointsA triangle has side lengths 20cm, 20cm and 35 cm. Is it possible for this triangle to have an angle measure of 122 degrees A rectangle has a width of 8 inches. The perimeter of the rectangle is 40inches. What is the length of the rectangle, in inches? Show the formula please and work plus answer thank you Lilliput is a country that has closed borders and does not import or export any goods or services; hence, they do not worry about trade with other countries.Total spending for the federal government of Lilliput for the last fiscal year was $24.19 billion. The country collected $22.9 billion in taxes during this same fiscal year. Assume government transfers were zero.Based on this information, what is Lilliput's budget balance? Enter your answer to two decimal places.budget balance: $_____________ billion In the last fiscal year, Lilliput was runninga. a balanced budgetb. a budget deficitc. a budget surplus Find the length of the third side. If necessary, write in simplest radical form.IMAGE DOWN BELOW!SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER What does this group" refer to? Choose the phrase that completes the sentence.Elected officials and other adults are not the only people whoseare solving problems in their communities. Young people justlike you are bringing attention to important issues. TheKentucky Student Voice Team is one example. The work of thisgroup has given Kentucky students a "voice" for makingpositive changes in their schoolsThe work ofhas given Kentucky students a "voice" for makingpositive changes in their schools.