How do you work out Potential Difference???
Please can you make it simple :)
Thanks.

Answers

Answer 1

Answer:

Potential difference is the work done in moving a positive test charge from infinity to the point in question.

Voltage is an expression of PD.   (Joules / Coulomb)

Say that a capacitor has a PD of 5 Volts. The work in moving a positive test charge from the positive plate to the negative plate is -5 Joules/Coulomb or -5 volt. (At the positive plate the positive test charge (1 Coulomb) already has a PD of + 5 Volts.)


Related Questions

¡¡¡AYUDA CON ESTOS EJERCICIOS DE FÍSICA!!!

1. ¿Cuál es el valor del potencial eléctrico en un punto si para trasladar una carga de 5 μC desde el suelo hasta el, se realizó un trabajo de 40 X 10^(-6) J?
2. ¿Calcular el potencial eléctrico en un punto B que se encuentra a 50 cm de una carga positiva q = 8 X 10^(-6) C
3. Determina el valor de una carga transportada desde un punto a otro, al realizarse un trabajo de 8 x 10^(-5) J, si la diferencia de potencial es de 4 x 10^3 V.

Answers

Answer:

(a) 8 V, (b) 144000 V, (c) 2 x 10^(-8) C

Explanation:

(a) charge, q = 5 μC , Work, W = 40 x 10-^(-6) J

The electric potential is given by

W = q V

[tex]40\times10^{-6}=5 \times10^{-6}\times V\\\\V = 8 V[/tex]

(b)

charge, q = 8 x 10^(-6) C, distance, r = 50 cm = 0.5 m

Let the potential is V.

[tex]V =\frac{k q}{r}\\\\V =\frac{9\times 10^{9}\times 8\times 10^{-6}}{0.5}\\\\V =144000 V[/tex]

(c)

Work, W = 8 x 10^(-5) J, Potential difference, V = 4000 V

Let the charge is q.

W= q V

[tex]8\times10^{-5}= q\times 4000\\\\q =2\times 10^{-8} C[/tex]

State the principles of moments

Answers

Answer:

The principle of moments states that when in equilibrium the total sum of the anti clockwise moment is equal to the total sum of the clockwise moment.

Explanation:

hope this helps

According to the principle of moments, it states that when in equilibrium, the entire sum of the anti-clockwise moment equals the total sum of the clockwise moment. When a system is stable or balanced, all of the forces operating on it cancel each other out, resulting in equilibrium.

What is the symbol for this please?​

Answers

Answer:

the symbol stands for cell

Which is not true of friction? A. Causes wear and tear of the surfaces B. Helps us to fall easily on roads C. Produces heat D. Produces light E. Stops bodies when they move over each other.

Answers

Answer:

B.

Hope this helps

The answer is B

i need 20 works

It is said that people often behave in unusual ways during a full moon. a)
Calculate the gravitational force that the moon would exert on a 50.0 kg
student in your physics class. The Moon is 3.84 x 108 m away from Earth
and has a mass of 7.35 x 1022 kg.

Answers

Answer: baby moon gravity

Sorry I dont know how to do it :/

Explanation:

moon + gravity = baby moon gravity

calcula el peso de un perro cuya masa es de 25 kg en la tierra

Answers

Answer:

El peso = 245 Newton

Explanation:

Dados los siguientes datos;

Masa = 25 kg

Para encontrar el peso del perro en la tierra;

El peso se puede definir como la fuerza que actúa sobre un cuerpo o un objeto como resultado de la gravedad.

Matemáticamente, el peso de un objeto viene dado por la fórmula;

[tex] El \; peso = mg [/tex]

Dónde;

m es la masa del objeto.

g es la aceleración debida a la gravedad.

Sabemos que la aceleración debida a la gravedad es igual a 9,8 m / s² en el planeta Tierra.

Sustituyendo en la ecuación, tenemos;

[tex] W = 25 * 9.8[/tex]

El peso = 245 Newton

A sound wave has a frequency of 192 Hz and travels the length of a football field at a speed of 338.5 m/s. what is the wavelength of the wave?

Answers

Explanation:

everything can be found in the picture

un movil que parte del reposo alcanza una velocidad de 75 m/s en 13 segundos ¿cual su aceleracion y el espacio que recorrio en los 13 segundos

Answers

Answer:

Acceleration = 5.77 m/s²

Distance cover in 13 seconds = 487.56 meter

Explanation:

Given:

Final velocity of mobile device = 75 m/s

initial velocity of mobile device = 0 m/s

Time taken = 13 seconds

Find:

Acceleration

Distance cover in 13 seconds

Computation:

v = u + at

75 = 0 + (a)(13)

13a = 75

a = 5.77

Acceleration = 5.77 m/s²

s = ut + (1/2)(a)(t²)

s = (0)(t) + (1/2)(5.77)(13²)

Distance cover in 13 seconds = 487.56 meter

Un automóvil de carreras da una vuelta a una pista circular de 500 m de radio en 50 s. A) La velocidad media del carro es 1) cero, 2) 100 m/s, 3) 200 m/s o 4) ninguna de las anteriores. ¿Por qué? B) Calcule la rapidez media del carro Solución: Datos r=500m ∆ = 50

Answers

Answer:

La velocidad media del carro no es ninguna de las ofrecidas como respuesta.

La velocidad es

v  =  62.8 m/s

Explanation:

La longitud de una circunferencia de 500 metros de radio es:

L = 2*π*r      por sustitución   L = 2* 3.14* 500

L  =  3140 m  esta es la distancia recorrida por el carro de carreras en 50 segundos.

la velocidad media es v      v  =  L / t   por definición luego

v  =  3140 m/ 50 s      v  =  62.8 m/s

E
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A wave has a frequency of 30 Hz and a wavelength of 10 m. What's its speed?

Answers

Answer:

Speed = 300 m/s

Explanation:

Given the following data;

Frequency = 30 Hz

Wavelength = 10 m

To find the speed of the wave;

Mathematically, the speed of a wave is given by the formula:

[tex] Speed = wavelength * frequency [/tex]

Substituting into the formula, we have;

[tex] Speed = 10 * 30 [/tex]

Speed = 300 m/s

calculate the charge flow when the vurrent is 0.50A in the wites for 17s

Answers

Answer:

Quantity of charge = 8.5 Coulombs

Explanation:

Given the following data;

Current = 0.5 A

Time = 17 seconds

To find the charge flowing through the wire;

Mathematically, the quantity of charge passing through a conductor is given by the formula;

Quantity of charge = current * time

Substituting into the formula, we have;

Quantity of charge = 0.5 * 17

Quantity of charge = 8.5 Coulombs

100 point!! Question song!
You gotta keep 'em separated
Like the latest fashion
Like a spreading disease
The kids are strappin' on their way to the classroom
Getting weapons with the greatest of ease
The gangs stake their own campus locale
And if they catch you slippin' then it's all over pal
If one guys colors and the others don't mix
They're gonna bash it up
Hey - man you talkin' back to me?
Take him out
You gotta keep 'em separated
Hey - man you disrespecting me?
Take him out
You gotta keep 'em separated
Hey they don't pay no mind
If you're under 18 you won't be doing any time
Hey, come out and play
By the time you hear the siren
It's already too late
One goes to the morgue and the other to jail
One guy's wasted and the other's a waste
It goes down the same as the thousand before
No one's getting smarter
No one's learning the score
Your never ending spree of death and violence and hate
Is gonna tie your own rope
Hey - man you disrespecting to me?
Take him out
You gotta keep 'em separated
Hey - man you talking back to me?
Take him out
You gotta keep 'em separated
Hey they don't pay no mind
If you're under 18 you won't be doing any time
Hey, come out and play
It goes down the same as the thousand before
No one's getting smarter
No one's learning the score
Your never ending spree of death and violence and hate
Is gonna tie your own rope
Hey - man you talkin' back to me?
Take him out
You gotta keep 'em separated
Hey - man you disrespecting me?
Take him out
You gotta keep 'em separated
Hey they don't pay no mind
If you're under 18 you won't be doing any time
Hey, come out and play

Answers

Answer:

It is a song called Come out and Play. It is released on 1994 in a Album called Smash. It comes under Punk-Rock.

I hope i answered your Question.

Answer:

Explanation:

Adding to the other answer, this song is about violence in streets and schools among young people involved in gangs; how they have little hope for their future. Band member Dexter got idea to make the song while he was in college.

Which statement explains why a red rose does not appear to be orange?
O A. Orange light is absorbed by the rose.
B. Red light is transmitted through the rose.
C. Orange light is transmitted through the rose.
O D. Red light is absorbed by the rose.

Answers

Answer:

A

Explanation:

you see red because it's reflected and other colors are absorbed, light transmitted through something is when it travels through something like glass or a gem

A pool ball moving 1.33 m/s strikes an identical ball at rest. Afterward, the first ball moves 0.750 m/s at a 33.30 angle. What is the velocity of the other ball?

Answers

Explanation:

We need to apply the conservation law of linear momentum to two dimensions:

Let [tex]p_{1}[/tex] = momentum of the 1st ball

[tex]p_{2}[/tex] = momentum of the 2nd ball

In the x-axis, the conservation law can be written as

[tex](p_{1} \cos \theta_{1})_{i} + (p_{2} \cos \theta_{2})_{i} = (p_{1} \cos \theta_{1})_{f} + (p_{2} \cos \theta_{2})_{f} [/tex]

or

[tex](m_{1}v_{1})_{i}= (m_{1}v_{1}\cos \theta_{1})_{f} + (m_{2}v_{2}\cos \theta_{2})_{f} [/tex]

Since we are dealing with identical balls, all the m terms cancel out so we are left with

[tex](v_{1})_{i} = (v_{1})_{f}\cos \theta_{1} + (v_{2})_{f}\cos \theta_{2}[/tex]

Putting in the numbers, we get

[tex]1.33 = (0.750) \cos(33.30) + (v_{2})_{f} \cos \theta_{2}[/tex]

[tex] = > (v_{2})_{f} \cos \theta_{2} = 0.703[/tex]

In the y-axis, there is no initial y-component of the momentum before the collision so we can write

[tex]0 = (v_{1}\sin \theta_{1})_{f} + (v_{2}\sin \theta_{2})_{f} [/tex]

or

[tex] = > (v_{2})_{f} \sin \theta_{2} = (0.750) \sin(33.30) = 0.412[/tex]

Taking the ratio of the sine equation to the cosine equation, we get

[tex] \frac{ \sin \theta _{2}}{ \cos \theta_{2} } = \tan \theta_{2} = \frac{0.412}{0.703} = 0.586[/tex]

or

[tex] \theta_{2} = { \tan}^{ - 1} (0.586) = 30.4[/tex]

Solving now for [tex](v_{2})_{f}[/tex],

[tex](v_{2})_{f} = \frac{0.412}{ \sin(30.4) } = 0.815 \: \frac{m}{s} [/tex]

Which of the following nuclear configurations is most stable?​

Answers

Answer:

D. A nucleus of 2 protons and 2 neutrons.

Explanation:

A stable nucleus is one that do not disintegrate naturally, majorly due to the even number of its protons and neutrons. Thus they are not radioactive in nature.

From the given question, it would be observed that a nucleus of 2 protons and 2 neutrons would give a helium atom. And this is a stable atoms due to the magnetic number of the components of its nucleus.

Thus, the nuclear configuration that is most stable out of the given options is a nucleus of 2 protons and 2 neutrons. Option D.

Calculate the change in the gravitational potential energy store of the following objects.
A cat with a mass of 3 kg climbs a tree, reaching a final height of 4.5 m (g = 9.8 N/kg).
Silver
Change in gravitational potential energy store =​

Answers

Explanation:

Gravitational potential energy is energy an object possesses because of its position in a gravitational field. ... Since the force required to lift it is equal to its weight, it follows that the gravitational potential energy is equal to its weight times the height to which it is lifted. PE = kg x 9.8 m/s2 x m = joules.

So, the PE is

3 x 9.8 x 4.5 = 132.3 J

A person notices water waves on the surface of the pond. 18 waves pass by a person in 12 seconds. Calculate the frequency of these water waves. Give the unit.

Answers

Answer:

f = 1.5 Hz

Explanation:

Given that,

18 waves pass by a person in 12 seconds.

We need to find the frequency of these water waves.

We know that,

Frequency = no. of waves per second

So,

[tex]f=\dfrac{18}{12}\\\\f=1.5\ Hz[/tex]

So, the frequency of these water waves is equal to 1.5 Hz.

Which one of the following is NOT an example of
force?
A Magnetism
B. Mass
C Weight
D. Effort​

Answers

I think it’s B) Mass, I’m sorry if it’s wrong

volume of CO2 at STP of 27.0 g​

Answers

Answer:

Volume of CO2 at STP = 13.8 liter (Approx.)

Explanation:

Given:

Mass of CO2 = 27 gram

Find:

Volume of CO2 at STP

Computation;

We know that;

At STP, Volume of 1 mol of gas = 22.4 liter

Molar mass of CO2 = 44 g/mole

So,

Volume of CO2 at STP = [Mass of CO2 / Molar mass of CO2 ][22.4]

Volume of CO2 at STP = [27/44][22.4]

Volume of CO2 at STP = [0.6136][22.4]

Volume of CO2 at STP = 13.8 liter (Approx.)

Find new resistance of wire if it is stretched to twice its
original length. Original resistance was 20 ohm. Also how its
resistivity will change

Answers

Answer:

Original Length = L1

Stretched length =L2

From

R = pl/A

R=Resistance

p=Resistivity

A=Cross-sectional Area

l= length of wire

We can see that Resistance is directly Proportional to Length... Meaning that Resistance Increases also as Length increases.

R1/L1 = R2/L2

From the question... The key to note is this sentence

"The Stretched length is TWICE the Original Length"

Meaning

L2 = 2L1 (So replace L2 as 2L1 when solving)

R1=20ohms

Let R2 = k

Applying the formula

20/L1 = k/2L1

kL1 = 20x 2 L1

KL1 = 40L1

L1 cancels on both sides

k=40ohms.

So As the length doubled... The Resistance did too

from 20ohms to 40ohms

What is the momentum, in kg m/s, of a tyre of mass 6 kg rolling along at a velocity of 3m/s?

Answers

Answer:

p = 18 kg-m/s

Explanation:

Given that,

The mass of tyre, m = 6 kg

The velocity of the tyre, v = 3 m/s

We need to find the momentum of the tyre. We know that, the momentum of an object is equal to the product of mass and velocity. SO,

p = mv

[tex]p=6\ kg\times 3\ m/s\\\\=18\ kg-m/s[/tex]

So, the momentum of the tyre is equal to 18 kg-m/s.

Consider the case in which the clay is launched along Path Y. The sphere of clay is launched with an initial velocity of v0 and collides with the rod at a distance of l from the pivot. The length of the rod is L. The rotational inertia of the rod about the joint is IR, and the mass of the clay is mc. The clay is considered a point mass. What is the angular speed f of the clay-rod system immediately after the collision

Answers

Answer:

    w = [tex]\frac{m}{ml^2 + I R^2 }[/tex]  v l

Explanation:

Let's form a system formed by the clay sphere and the rod, in this case the angular momentum is conserved

initial instant. Before the crash

          L₀ = m v l

Final moment. After the collision with the clay stuck to the rod

          L_f = I_{total} w

angular momentum is conserved

         L₀ = L_f

         m v l = I_total w

         w = [tex]\frac{m}{I_{total} }[/tex]  v l

the total moment of inertia is the sum of the moments of inertia of the two bodies

the moment of inertia of the rod is

        I_rod = I R²

        I_total = m l² + IR²

we substitute

          w = [tex]\frac{m}{ml^2 + I R^2 }[/tex]  v l

The angular speed f of the clay-rod system immediately after the collision

[tex]w=\dfrac{m}{ml^2+IR^2}VI[/tex]

What is angular speed?

Angular speed is defined as the rate of change of angular displacement,Angular Speed (ω) is the scalar measure of rotation rate. In one complete rotation, angular distance travelled is 2π and time is time period (T)

Let's form a system formed by the clay sphere and the rod, in this case the angular momentum is conserved

initial instant. Before the crash

[tex]L_o=mvl[/tex]

Final moment. After the collision with the clay stuck to the rod

[tex]L_o = L_f m v l = I_{total} w[/tex]

[tex]w=\dfrac{m}{I_{total}} Vl[/tex]

the total moment of inertia is the sum of the moments of inertia of the two bodies

the moment of inertia of the rod is

     [tex]I_rod = I R^2 I_{total} = m l^2 + IR^2[/tex]

we substitute

[tex]w=\dfrac{m}{ml^2+IR^2}VI[/tex]

Hence the angular speed f of the clay-rod system immediately after the collision

[tex]w=\dfrac{m}{ml^2+IR^2}VI[/tex]

To know more about Angular speed follow

https://brainly.com/question/6860269

Cuanto cambia la entropía de 0.50 kg de vapor de mercurio [Lv: 2.7 x 10⁵ j/kg ] al calentarse en su punto de ebullición de 357° C?

Answers

Answer:

La entropía del vapor de mercurio cambia en 214.235 joules por Kelvin.

Explanation:

Por definición de entropía ([tex]S[/tex]), medida en joules por Kelvin, tenemos la siguiente expresión:

[tex]dS = \frac{\delta Q}{T}[/tex] (1)

Donde:

[tex]Q[/tex] - Ganancia de calor, en joules.

[tex]T[/tex] - Temperatura del sistema, en Kelvin.

Ampliamos (1) por la definición de calor latente:

[tex]dS = \frac{L_{v}}{T}\cdot dm[/tex] (1b)

Donde:

[tex]m[/tex] - Masa del sistema, en kilogramos.

[tex]L_{v}[/tex] - Calor latente de vaporización, en joules

Puesto que no existe cambio en la temperatura durante el proceso de vaporización, transformamos la expresión diferencial en expresión de diferencia, es decir:

[tex]\Delta S = \frac{\Delta m \cdot L_{v}}{T}[/tex]

Como vemos, el cambio de la entropía asociada al cambio de fase del mercurio es directamente proporcional a la masa del sistema. Si tenemos que [tex]m = 0.50\,kg[/tex],[tex]L_{v} = 2.7\times 10^{5}\,\frac{J}{kg}[/tex] and [tex]T = 630.15\,K[/tex], entonces el cambio de entropía es:

[tex]\Delta S = \frac{(0.50\,kg)\cdot \left(2.7\times 10^{5}\,\frac{J}{kg} \right)}{630.15\,K}[/tex]

[tex]\Delta S = 214.235 \,\frac{J}{K}[/tex]

La entropía del vapor de mercurio cambia en 214.235 joules por Kelvin.

An overworked computer software engineer works on the computer the whole day. He gets very tired after work. Somebody advised him to eat more carbohydrates and fats to get more energy. Do you think this will help him? Why?

Answers

Answer:

Following are the solution to the given question:

Explanation:

The answer is "Yes," as it will provide more fuel than a source of vitamins and minerals for him as carbohydrates. Whereas after carbohydrates supply energy, lipids were applied to long-term electricity. Obesity is caused by over intakes of carbohydrates and fats. They must therefore be given in the amount recommended. For its activity, the brain uses glucose. Nevertheless, he does not require sufficient fat since fat is difficult to absorb & fat may make him sound more tired. To recover rapidly, one should consume carbohydrates and meals rich in vitamins. Selection for fat in the form of nuts should be mainly.

Which of the following would require a centripetal force?

A) All of these require a centripetal acceleration
B) An airplane slowing down
C) A train speeding up
D) A car turning right

Answers

D if not I believe A

A hypothesis is a(n) ______________, while a theory is a(n) ______________.

Answers

A hypothesis is a tentative explanation that can be tested by further investigation.

A theory is a well-supported explanation of observations.

The table represents the speed of a car in a northern direction over several seconds. Column 1 would be on the x-axis, and Column 2 would be on the y-axis. Which best lists the titles of each column? Column 1 0 2 4. 6 8 10 Column 2 5 10 15 20 25 30 Column 1 should be titled "Time," and Column 2 should be titled "Velocity." Column 1 should be titled "Velocity," and Column 2 should be titled "Time." Column 1 should be titled "Time," and Column 2 should be titled "Acceleration." O Column 1 should be titled "Acceleration," and Column 2 should be titled "Time."​

Answers

Answer:

Explanation:

Since we are looking at speed over a time unit, we have an acceleration graph. The definition of acceleration mathematically is:

[tex]a=\frac{v_f-v_0}{t}[/tex] (that's the change in velocity over the change in time). The slope of any line in this graph wil represent the acceleration. Slope is rise over run, or y over x. Therefore, if acceleration is velocity over time, then the y axis is the velocity axis and the x axis is the time axis. It makes perfect, beautiful sense!!

What is surface tension ​

Answers

Answer:

Surface tension is a fundamental property of the surface of liquid. Surface tension is responsible for the curvature of the surfaces of air and liquids. Surface tension is responsible for the ability of some solid objects to “float” on the surface of a liquid.

hope it helps

stay safe healthy and happy.

Surface tension is the tendency of liquid surfaces at rest to shrink into the minimum surface area possible.Surface tension is what allows any object that is denser than water to float on water

hope this will help out

A 35-gram stainless steel ball on a track is moving at a velocity of 9 m/s. On the same track, a 75-gram stainless steel ball is moving at a velocity of –7 m/s. After colliding, the 35-gram ball moves at a velocity of –15 m/s. Assume there is no net force on the system.

What is the velocity of the 75-gram ball after the collision? Round to the nearest tenth.

Answers

Explanation:

the answer is in the above image

Given:

mass of first ball, m1 = 35g

mass of second ball, m2 = 75g

velocity of first ball before collision, u1 = 9m/s

velocity of second ball before collision, u2 = -7m/s

velocity of first ball after collision, v1 = -15m/s

velocity of second ball after collision, v2 = ? (To Find)

Now it is given that there is no net force on the system of two balls

according to the Law of Conservation of Momentum so, here momentum is constant before and after collision:

P1 = P2

m1u1 + m2u2 = m1v1 + m2v2

35g*9m/s + 75g*(-7m/s) = 35g*(-15m/s) + 75g*v2

v2 = (35g*9m/s + 75g*(-7m/s) - 35g*(-15m/s))/75g

v2 = 4.2m/s

therefore, the velocity of second ball after collision is 4.2m/s

What is the formula of conservation of momentum?

As a result, the equation of the law of conservation of momentum is as follows: m1 u1 + m2 u2 represents the total momentum of particles A and B before the collision, and m1 v1 + m2 v2 represents the total momentum of particles A and B after the collision.

What is momentum unit?

Momentum. If the mass of an object is m and it has a velocity v, then the momentum of the object is defined to be its mass multiplied by its velocity. momentum = mv. Momentum has both magnitude and direction and thus is a vector quantity. The units of momentum are kg m s−1 or newton seconds, N s.

Learn more about Law of Conservation of Momentum here

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in the compound CaCO3 at the end of the compound represents the number of

Answers

Answer:

Calculate the mass of 6.022 × 1023 molecule of Calcium carbonate (CaCO3).

Solution —

Molar mass (Molecular mass in gram) of CaCO3 = 40+12+3×16 = 100 g

No. of moles of CaCO3

= No. of molecules/Avogadro constant

= 6.022 × 1023/ 6.022 × 1023

= 1 mole

Mass of CaCO3

= No. of moles × molar mass

= 1 × 100 g = 100 g.

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Compute the following ratios for the common stock:When required, round earnings per share and price/earnings ratio answers to two decimal places. For dividend payout and dividend yield ratios, round raw calculations to 4 decimal places, but enter each answer as a percentage to two decimal places; for example, .17856 rounds to .1786 and would be entered as 17.86, indicating 17.86%.a. Earnings per share$b. Price/earnings ratioto 1c. Dividend payout ratio%d. Dividend yield ratio%2. Before recommending the stock of Balla to a client, as a financial adviser, you would like to know:future earnings growth.risk of the stock.general economic trends and how they affect the company.all of these. what is the slope of the line with x intercept of 3 and y intercept of 36 Retained earnings, December 31, 2019 $ 348,600Cost of buildings purchased during 2020 42,700Net income for the year ended December 31, 2020 55,300Dividends declared and paid in 2020 32,600Increase in cash balance from January 1, 2020, to December 31, 2020 23,500Increase in long-term debt in 2020 45,300 Required: From the above data, calculate the Retained Earnings balance as of December 31, 2020 Find the slope of the line that passes through the points (-5,-6) and (5,10) Noah buys 3 packages of pens each package has 4 blue pens and 2 black pens which equation can be used to find p the total number of pins A. 3 x 4 x 2 = pB. 3+4+2 = pC. 3x (4+2)= pD. 3+ (4x2)=p where can i learn english in 3 months The first step in drawing a strategic group map is Multiple choice question. assign firms occupying the same map location to a common strategic group. draw circles around each strategic group that are proportional to the group's share of industry revenues. plot firms on a two-variable map based on the strategic variables. identify the variables based on strategic approaches used in the industry. tm tt c cc hm s f: Z-->Z tha:f( f(x)+f(y) ) = x+y+1, vi mi x,y thuc Z Pinacle Corp. budgeted $242,600 of overhead cost for the current year. Actual overhead costs for the year were $204,330. Pinacle's plantwide allocation base, machine hours, was budgeted at 51,060 hours. Actual machine hours were 56,680. A total of 102,310 units was budgeted to be produced and 98,000 units were actually produced. Pinacle's plantwide factory overhead rate for the current year is: a.$4.00 per machine hour b.$4.75 per machine hour c.$2.00 per machine hour d.$2.37 per machine hour Using the slope intercept formula, we can see the slope of line p is . Since line k is perpendicular to line p it must have a slope that is the negative reciprocal. How many nerves can I fit in 3 feet? I Hear America Singingby Walt WhitmanI hear America singing, the varied carols I hear,Those of mechanics, each one singing his as it should be blithe and strong,The carpenter singing his as he measures his plank or beam,The mason singing his as he makes ready for work, or leaves off work,The boatman singing what belongs to him in his boat, the deckhandsinging on the steamboat deck,The shoemaker singing as he sits on his bench, the hatter singing as he stands,The wood-cutter's song, the ploughboy's on his way in the morning, orat noon intermission or at sundown,The delicious singing of the mother, or of the young wife at work, or ofthe girl sewing or washing,Each singing what belongs to him or her and to none else,The day what belongs to the dayat night the party of young fellows,robust, friendly,Singing with open mouths their strong melodious songs.2Select the correct answer.In the context of the poem, what does the word blithe most likely mean?A. arrogant and focusedB. satisfied and confidentC. complacent and apatheticD. fiery and volatile what is the difference between listening to president Roosevelts four freedoms speech and reading it m) Factorise:x2/9+1+9/x2 Which entry would be found in a thesaurus?1. It's A Fact: In the US there is an average of 13 cases of plague reported each year.2. fine, delicate, light, gauzy, lacy, sheer, wispy3. habitat \ha-b-tati n. 1. the place or environment where an animal lives4. United States, History of the. The history of the United States is the story of a great nation. PLEASE HELP ON THIS!!An archaeologist ropes off a dig site using four pieces of rope that have the lenghts of 12 feet, 13 feet, 10 feet, and 11 feet. Name all of the possible four-sided shapes that the archaelogist can enclose with the rope.HERE ARE THE OPTIONS:TrapezoidParallelogramRhombusRectangleSquare