A series RCL circuit contains a 65.2-Ω resistor, a 2.26-μF capacitor, and a 2.08-mH inductor. When the frequency is 2400 Hz, what is the power factor of the circuit?

Answers

Answer 1

Answer:

The power factor of the circuit is 0.99

Explanation:

Given;

resistance of the resistor, R = 65.2 ohms

capacitance of the capacitor, C = 2.26 μF = 2.26 x 10⁻⁶ F

inductance, L = 2.08 mH = 2.08 x 10⁻³ H

frequency of the AC, f = 2400 Hz

The angular frequency is given by;

ω = 2πf

ω = 2π(2400) = 15081.6 rad/s

The inductive reactance is given by;

XL = ωL

XL = (15081.6 x 2.08 x 10⁻³)

XL = 31.37 ohms

The capacitive reactance is given by;

[tex]X_c = \frac{1}{\omega C} \\\\X_c = \frac{1}{(15081.6)(2.26*10^{-6} )}\\\\X_c = 29.34 \ ohms[/tex]

The phase difference is given by;

[tex]tan\phi = \frac{X_l - X_c}{R}\\\\ tan\phi =\frac{31.37-29.34}{65.2} \\\\tan\phi = 0.0311 \\\\\phi = tan^{-1} (0.0311)\\\\\phi = 1.78^0[/tex]

The power factor is given by;

CosФ = Cos(1.78) = 0.99

Therefore, the power factor of the circuit is 0.99


Related Questions

WHAT IS TRANS ATLANTIC SLAVE TRADE​

Answers

Hope this kinda helps!

A plane moves at a speed of 100 mi/h and takes flight on a 25 degree angle. What is the VERTICAL speed in mi/h? Round to the nearest whole number and DO NOT include units (Ex: 11).​

Answers

Answer:

The vertical speed in mi/h is 42.

Explanation:

Rectangular Components of a Vector

A 2D vector can be expressed in several forms. The rectangular form gives its two components, one for each axis (x,y). The polar form gives the components as (r,θ) being r the magnitude and θ the angle.

The relationships between the coordinates of both systems are shown in the image below.

When the magnitude and angle of the vector are given, the rectangular components are calculated as follows:

[tex]v_x=v\cos\theta[/tex]

[tex]v_y=v\sin\theta[/tex]

Where v is the magnitude of the vector and θ is the angle with respect to the x positive direction.

We are given the magnitude of the velocity (the speed) at which a plane is moving as v=100 mi/h at an angle of θ=25°, the vertical component of the velocity is:

[tex]v_y=100\sin 25^\circ[/tex]

Calculating:

[tex]v_y=42.26\approx 42[/tex]

The vertical speed in mi/h is 42.

Suppose the flow rate of blood in a coronary artery has been reduced to half its normal value by plaque deposits. By what factor has the radius of the artery been reduced, assuming no turbulence occurs?
Strategy
Assuming laminar flow, Poiseuilleâs law states that
Q = (p2 - p1)pir^4/8nl.We need to compare the artery radius before and after the flow rate reduction.

Answers

Answer:

1.18

Explanation:

The flow rate of blood is proportional to the fourth power of its radius as given the Poiseuille's law.

The law is :

[tex]$Q \propto r^4$[/tex]

It is given here that the flood flow rate is been reduced to half its normal value. Therefore, [tex]$Q_1 = \frac{1}{2}Q_2$[/tex]

So, for the radius [tex]$r_1$[/tex] and [tex]$r_2$[/tex], the ratios of their flow rates are :

[tex]$\frac{Q_1}{Q_2}=\frac{r_1^4}{r_2^4}$[/tex]

It is given that the flow rate is reduced to half. So we have,

[tex]$\frac{Q_1}{2Q_1}=\frac{r_1^4}{r_2^4}$[/tex]

or [tex]$r_2=2^{1/4}{r_1}$[/tex]

[tex]$r_2=1.18 \ r_1}$[/tex]

So the radius changes by a factor of 1.18

A flat loop of wire consisting of a single turn of cross-sectional area 7.10 cm2 is perpendicular to a magnetic field that increases uniformly in magnitude from 0.500 T to 2.10 T in 1.07 s. What is the resulting induced current if the loop has a resistance of 1.60?

Answers

Answer:

The induced current is  [tex]I = 0.00066 \ A[/tex]

Explanation:

From the question we are told that

   The area is  [tex]A = 7.10 \ cm^2 = 7.10 *10^{-4} \ m^2[/tex]

   The initial  magnetic field is  [tex]B_i = 0.500 \ T[/tex]

    The magnetic field after t =1.07 s is  [tex]B_f = 2.10 \ T[/tex]

     The resistance of the loop is [tex]R = 1.60 \ \Omega[/tex]

Generally the electromagnetic field induced is mathematically represented as

   [tex]\epsilon = NA * \frac{B_f - B_i}{t}[/tex]

Where N is the number of turns which is 1 in the case of this question since there is only one loop

 So

       [tex]\epsilon = 1 * 7.10*10^{-4}* \frac{2.10 - 0.500}{1.07 }[/tex]

=>   [tex]\epsilon = 0.00106 \ V[/tex]

Generally the value of the current is mathematically represented as

        [tex]I = \frac{\epsilon}{R}[/tex]

       [tex]I = \frac{0.00106}{1.60}[/tex]

       [tex]I = 0.00066 \ A[/tex]

 

What is the approximate horizontal velocity at which the boy in the diagram
threw the ball?


a. +5m/s

b. +20m/s

c. +25m/s

d. +30m/s

Answers

Answer:

D

Explanation:

5+25=30

A golf ball hit off a tee on level ground, lands 62 m away 3.0 later. What was the initial velocity of the golf ball?

Answers

62×3.0

think so not sure

A system of 4 electrons, 18 protons, and 4 neutrons has a net charge of?

Answers

Answer:

+ 14

Explanation:

18 protons make a positive 18 charge (+18)

4 electrons make a negative 4 charge (-4)

both combined give + 18 - 4 = + 14

The four neutrons don't carry net charge, so the addition of the electrons doesn' affect the net charge found above which still gives + 14.

A falling ball has potential energy of 5 J and a kinetic energy of 10 J. What is the ball's mechanical energy?

Answers

Mechanical energy = PE + KE
5 J + 10 J = 15 J

A spaceship of mass mm circles a planet of mass M in an orbit of radius R. How much energy is required to transfer the spaceship to a circular orbit of radius 3R?

Answers

Answer:

ΔE = GmM/3R

Explanation:

The absolute potential energy of an object in a planet's field is given as:

E = -GmM/2r

where,

E = Potential Energy

G = Universal Gravitational Constant

m = mass of spaceship

M = Mass of Planet

r = distance from surface of planet

Therefore, for initial state:

E = E₁ and r = R

E₁ = - GmM/2R

and for final state:

E = E₂ and r = 3R

E₂ = - GmM/6R

So, the required energy will be:

ΔE = E₂ - E₁ = - GmM/6R + GmM/2R

ΔE = GmM(- 1/6R + 1/2R)

ΔE = GmM/3R

You use an electron microscope in which the matter wave associated with the electron beam has a wavelength of 0.0173 nm. What is the kinetic energy of an electron in the beam, expressed in electron volts?

Answers

Answer:

The kinetic energy of an electron in the beam is 5.04 keV.

 

Explanation:

We need to find the velocity of the electron by using the De Broglie wavelength:

[tex] \lambda = \frac{h}{mv} [/tex]

Where:

λ: is the wavelength = 0.0173 nm

v: is the velocity

m: is the electron's mass = 9.1x10⁻³¹ kg

h: is the Planck constant = 6.62x10⁻³⁴ J.s

[tex] v = \frac{h}{m\lambda} = \frac{6.62 \cdot 10^{-34} J.s}{9.1 \cdot 10^{-31} kg*0.0173 \cdot 10^{-9} m} = 4.21 \cdot 10^{7} m/s [/tex]

Now, we can find the kinetic energy:

[tex] E_{k} = \frac{1}{2}mv^{2} = \frac{1}{2}9.1 \cdot 10^{-31} kg*(4.21 \cdot 10^{7} m/s)^{2} = 8.06 \cdot 10^{-16} J*\frac{1 eV}{1.6 \cdot 10^{-19} J} = 5038 eV = 5.04 keV [/tex]

Therefore, the kinetic energy of an electron in the beam is 5.04 keV.

I hope it helps you!

Which of the following describes the motion or change caused by a transformation from electrical to sound energy? (2 points) a A child listens to the music from a trumpet. b A dog howls to the siren from a police car. c A person moves their arm when they hear the buzz of a fly. d Music comes out from a television speaker.

Answers

Answer:

d.music comes out from a television speaker

Explanation:

because television use electricity (electrical energy) and produce sound (sound energy) that we hear while watching tv

Answer:

The answer would be (D) Music comes out from a television speaker.

Explanation:

This is because the TV uses electrical energy from where its plugged in. And the speaker is the sound energy which is caused by the TV to go with the show you are watching.

Hope this helps!

Two manned satellites approach one another at a relative speed of 0.400 m/s, intending to dock. The first has a mass of 5.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity in meters per second?

Answers

Answer:

why do you think the senate changed the way it voted? What methods did the suf

why do you think the senate changed the way it voted? What methods did the suffragis

why do you think the senate changed the way it voted? What methods did the suffragists use to influence this change?

Two manned satellites approach one another at a relative speed of 0.400 m/s, intending to dock. The first has a mass of 5.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity in meters per second?

hi

lolTwo manned satellites approach one another at a relative speed of 0.400 m/s, intending to dock. The first has a mass of 5.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity in meters per second?ts use to influence this change?

Two manned satellites approach one another at a relative speed of 0.400 m/s, intending to dock. The first has a mass of 5.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity in meters per second?

hi

lolfragists use to influence this change?

Explanation:

Two manned satellites approach one another at a relative speed of 0.400 m/s, intending to dock. The first has a mass of 5.50 ✕ 103 kg, and the second a mass of 7.50 ✕ 103 kg. If the two satellites collide elastically rather than dock, what is their final relative velocity in meters per second?

hi

lol

Use the drop-down menus to complete each sentence.

A plant grows toward a sunny window. This response is an example of
✔ phototropism
.

Sometimes a plant grows around a tree for support. This response is an example of
✔ thigmotropism
.

The roots of a plant grow toward a water source. This response is an example of
✔ hydrotropism
.

The roots of a plant grow down into the soil. This response is an example of
✔ gravitropism
.
the answers are already there

Answers

Answer:

The correct answer is - phototropism, thigmotropism, hydrotropism, and gravitropism in order ( already match correctly).

Explanation:

phototropism is a phenomenon in which plants grow towards the light or sun which is accomplished by the hormone auxin in the cells far from the light.

Thigotropism is a type of plant growth that occurs around the tree to support itself which is a touch stimuli response.

The movement of the plant in the direction of the source of the water is known as hydrotropism. In which stimuli is humidity or the water concentration.

The movement of the plant or roots of the plants towards the soil or earth is known as gravitropism here gravity is the stimuli.

Answer:

Use the drop-down menus to complete each sentence.

A plant grows toward a sunny window. This response is an example of

phototropism

.

Sometimes a plant grows around a tree for support. This response is an example of

thigmotropism

.

The roots of a plant grow toward a water source. This response is an example of

hydrotropism

.

The roots of a plant grow down into the soil. This response is an example of

gravitropism

.

Explanation:

1. When asteroids collided some of the broken materials fall into Earth's orbit. What do
astronomers call the debris when it hits planet Earth?

Answers

Answer:

meteoroids

Explanation:

when an asteroid (or really anything else) falls to earth, it is called a meteoroid

The amount of time for a synchronous input to a flip-flop to be stable before the rising edge of clock is called the hold time. a) True b) False

Answers

Answer:

true

Explanation:

Answer:

true

Explanation:

Describe and give an example of mutualism.


Describe and give an example of commensalism.


Describe and give an example of parasitism.


Describe and give an example of competition.


Describe and give an example of predation.

Answers

Answer:

Mutualism, commensalism, parasitism, competition, and predation.

Explanation:

mutualism- relationship between two or more organisms where both are benefited. Example-oxpecker with rhino/zebra. They eat bugs off of them which means that they are getting food, while the rhino/zebra are getting cleaned up with pest control.

commensalism- relationship between two organisms where one benefits and the other isn't benefited or harmed. EX- tree frogs use plants as protectioin.he frog is benefited, and the plant is neither harmed nor benefited. Remora fish have a disk on their heads that they use to attach themselves to larger animals for protection. The animals they attach to are neither harmed nor benefited.  

parasitism- in a relationship where an organism benefits at the expense of the other. (one is benefited while the other is harmed) ex- fleas and ticks that live on cats and dogs, tape worms that live in people and animals that eat the food which means that the people aren't getting the food or nutrition that they eat. lice, etc

competition- interaction within organisms/species in which both the organisms/species are harmed and is apart of natural selection. Examples may include two males fighting over a mate, animals competing over food, limited habitats that they are fighting over, territory, etc.

predation- the preying of one animal on another. It's where the predator hunts and eats another organism which is its prey. categorized within-(1) carnivory, (2) herbivory, (3) parasitism, and (4) mutualism. Each type of predation can by categorized based on whether or not it results in the death of the prey.ex- owls hunting mice, wolves hunting rabbits, lion hunting gazelle, etc.

June does an experiment to study how salt affects the freezing point of water

Answers

Answer:

Salt melts ice and helps keep water from re-freezing by lowering the freezing point of water. This phenomenon is called freezing point depression. Salt only helps if there is a little bit of liquid water available. The salt has to dissolve into its ions in order to work.

Explanation:

The volume of water in a measuring cyclinder is 50 ml .When a piece of stone is immeresed in the cyclinder the volume of water increases to 87.3ml. Calculate volume of stone.​

Answers

Answer:

37.3ml

Explanation:

87.3 ml-50 ml=37.3ml

Answer:

ok

Explanation:

g

What unbalanced force is needed to give a 976 kg vehicle an acceleration of 2.50 m/s2? ASAP

Answers

Answer:

2440 N

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question we have

force = 976 × 2.5

We have the final answer as

2440 N

Hope this helps you

What is the mass of a toy truck if 18 N of force is needed to accelerate the boat to
2 m/s2 ?

Answers

Answer:

9 kg

Explanation:

Force= Mass * Acceleration

18 N= Mass * 2 m/s^2

(18 N / 2 m/s^2) = Mass

Mass= 9 kg

what are the laws of newton​

Answers

Answer:

Explanation:

These are the laws of Newton

Answer:

the first law, an object will not change its motion unless a force acts upon it. the 2nd one, the force of an object is equal to its mass times it acceleration. the 3rd one is when 2 objects interact, they apply forces to each other of equal magnitude and opposite direction.

Lifting a stone block 146m to the top of the Great Pyramid required 146,000 J of work. How much work was done to lift the block halfway to the top?
A. 36,500 Joules
B. 73,000 Joules
C. 146,000 Joules
D. 292,000 Joules
Please help me.

Answers

B is your answer to the question

A rod is pivoted about its center and oriented horizontally. A 5.0-N force directed upward is applied 4.0 m to the left of the pivot and another upward 5.0-N force is applied 1.5 m to the right of the pivot. What is magnitude of the total torque about the pivot?

Answers

Answer:

The total torque is 27.5 Nm

Explanation:

Given;

5.0-N force directed upward is applied 4.0 m to the left of the pivot,

5.0-N force directed upward is applied 1.5 m to the right of the pivot,

Taking the moment about the pivot, the total torque is given by;

τ = Fr

where;

F is the appllied force

r is the radius of the force arm

τ = (5 N x 4 m) + (5 N x 1.5 m)

τ = 27.5 Nm

Therefore, the total torque is 27.5 Nm

2. An ambulance traveling at 20 m/s emits a sound at 500 Hz. What frequency does a person standing on the corner of a street detect?

Answers

531 Hz. As ambulance approaches and 470ish as it proceeds past stationary person.

Doppler effect.

Used online calculator. Use negative 20 m/s approach and positive 20 m/s leaving or having passed the person

A magnet of mass 0.20 kg is dropped from rest and falls vertically through a 35.0 cm copper tube. Eddy currents are induced, causing the copper to warm up. The speed of the magnet as it emerges from the tube is 1.50 m/s. How much heat energy is dissipated to the environment?

Answers

Answer:

The energy lost to the environment is 0.461 J

Explanation:

Given;

mass of the magnet, m = 0.2 kg

height of fall, h = 35 cm = 0.35 m

initial speed of the magnet, u = 0

final speed of the magnet, v = 1.5 m/s

Initial energy of the magnet is given by;

E₁ = P.E₁ + K.E₁

E₁ = mgh₁ + ¹/₂mu²

E₁ = (0.2 x 9.8 x 0.35) + ¹/₂(0.2)(0)²

E₁ = 0.686 J

Final energy of the magnet as it emerges from the tube is given by;

E₂ = mgh₂ +  ¹/₂mv²

E₂ = (0.2 x 9.8 x 0) + ¹/₂(0.2)(1.5)²

E₂ = 0 + 0.225 J

The energy lost to the environment is given by;

E = E₂ - E₁

E = 0.225 J - 0.686 J

E = -0.461 J (negative sign indicates lost energy to the environment)

Therefore, the energy lost to the environment is 0.461 J

A 20kg rock is sliding on a rough, horizontal surface at 8 m/s and eventually stops due to friction. the coefficient of kinetic friction between the rock and the surface is 0.200. what average power is produced by friction as the rock stops?

Answers

Answer:

156watts

Explanation:

M = 20

U = 0.200

Vo = 8.0

We are to get p

P = w/t

W = 1/2(vf²-Vo²)

The final velocity is 0

W =-1/2*20*8²

= -640J

Acceleration = -ug

= -0.200*9.8

= -1.96m/s^-2

We are to get t

t = 8/1.96

= 4.1s

P = w/t

= 640/4.1

= 156 watts

156watts is the average power that is produced by friction as the rock stops.

At
room temperature, chlorine is a gas, bromine is a liquid, and
iodine is a solid. However, all
three elements share some
physical properties. They also
have very similar chemical
properties. They are grouped in the same column on the periodic table. What common property do
you observe?

Answers

Explanation:

One common property with all halogens in group 7 is that they are all non-metals.

Fluorine, chlorine, Bromine and Iodine are classified as non-metallic elements and they have a high electronegativity.

In chemical reactions, they are very reactive because they require just one electron to complete their octet configuration and be isoelectronic with noble gases.

The most prominent observation from halogens is that they all non-metallic in nature.

When an aluminum bar is connected between a hot reservoir at 720 K and a cold reservoir at 358 K, 3.00 kJ of energy is transferred by heat from the hot reservoir to the cold reservoir. (a) In this irreversible process, calculate the change in entropy of the hot reservoir._______ J/K
(b) In this irreversible process, calculate the change in entropy of the cold reservoir.
_______ J/K
(c) In this irreversible process, calculate the change in entropy of the Universe, neglecting any change in entropy of the aluminum rod.
_______ J/K
(d) Mathematically, why did the result for the Universe in part (c) have to be positive?

Answers

Answer:

a.  -4.166 J/K

b. 8.37 J/K

c. 4.21 J/K

d. entropy always increases.

Explanation:

Given :

Temperature at hot reservoir , [tex]$T_h$[/tex] = 720 K

Temperature at cold reservoir , [tex]$T_c$[/tex] = 358 K

Transfer of heat, dQ = 3.00 kJ = 3000 J

(a). In the hot reservoir, the change of entropy is given by:

[tex]$dS_h= -\frac{dQ}{t_h}$[/tex]              (the negative sign shows the loss of heat)

[tex]$dS_h= -\frac{3000}{720}$[/tex]

      =  -4.166 J/K

(b)  In the cold reservoir, the change of entropy is given by:

[tex]$dS_c= \frac{dQ}{t_c}$[/tex]              

[tex]$dS_c= \frac{3000}{358}$[/tex]

      =  8.37 J/K

(c). The entropy change in the universe is given by:

[tex]$dS=dS_h+dS_c$[/tex]

    = -4.16+8.37

   = 4.21 J/K

(d). According to the concept of entropy, the entropy of the universe is always increasing and never decreasing for an irreversible process. If the entropy of universe decreases, it violates the laws of thermodynamics. Hence, in part (c), the result have to be positive.

what do we call the games that involve different manipulation skills like throwing,tossing,rolling,catching,running,jumping,hopping and stretching what is the answer A.puzzle game B.simulation games C.target games D.role-playing games​

Answers

i think its C not sure tho

A net force F acts on a mass m and produces an acceleration a. What acceleration results if a net force 4F acts on a mass 6m?

Answers

Answer: The acceleration results if a net force of 4F acts on a mass of 6m is 2/3a.

Explanation:

Force exerted on an object can be defined as a pull or a push on an object which leads to it's displacement. Force is taken to be a vector quantity because it has both magnitude and direction. The formula which can be used to determine force exerted on an object in physics is:

F= mass( kg) × acceleration( m/ s²)

Acceleration is defined as the rate at which the velocity of an object changes. From the formula of force given above it can be determined by making it the subject of formula. Therefore acceleration= Force/ mass.

From the question,

Force= 4F

Mass= 6m

Therefore acceleration= F/m

= 4/6

Acceleration= 2/3a

The required magnitude of acceleration when force is 4F and mass is 6m is 2/3a.

Given data:

The magnitude of net force is, 4F.

The value of mass is, 6m.

Apply the Newton's second law which says that force exerted on an object can be defined as a pull or a push on an object which leads to it's displacement. Force is taken to be a vector quantity because it has both magnitude and direction. The formula which can be used to determine force exerted on an object in physics is

F = ma

a = F/m ..........................................(1)

here, a is the acceleration.

Solving as when the force becomes 4F and mass becomes 6m.

[tex](4F) = (6m) \times a'\\\\a '= \dfrac{4F}{6m}\\\\a '= \dfrac{2}{3}a[/tex]

Thus, the required magnitude of acceleration when force is 4F and mass is 6m is 2/3a.

Learn more about the Newton's Second law here:

https://brainly.com/question/13447525

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Why did the Japanese mount a fanatical defense of the island of Okinawa? What is the temperature of lukewarm water? Select the better estimate.80C80F The equation for the reaction of magnesium ribbon and hydrochloric acid isMg(s) + 2 HCl(aq) MgCl2(aq) + H2(g)If 1.53 g magnesium reacted, how many moles of hydrogen gas was produced?Report your answer to three significant figures.Mg = 24.3 g/mol Which was a belief of the early Federalist Party? The United States should become allies with France. The United States should have a small federal government. The United States should not have a national bank. The United States should not take sides in foreign wars. Being farther from the nucleus and with more electrons shielding the protons results in the valence electrons being held ... What is the length of side A in centimeters? Which of the following is a secondary source?a hockey players interview of a game he wona diary of a World War II soldier about the Normandy landingsa historical narrative based on a personal accountan autobiography of someone's life I will make you brainiest! In this analogy, which part of the lunar cycle is waning - from the new moon to the full moon or the full moon to the new moon? A 32-ounce package of a snack mix is 24 percent pretzel. How many ounces are pretzels? A. 0.706 B. 0.768 C. 7.06 or D. 7.68 What two electron carrying particles ("batteries!") does the electron transport chain use to get the energy it needs tomake ATP? Si una planta homocigtica de tallo alto (AA) se cruza con una homocigtica de tallo enano (aa), sabiendo que el tallo alto es dominante sobre el tallo enano, Cmo sern los genotipos y fenotipos de la F1? In rigor mortis, muscle tissue becomes locked in position because myosin heads are tightly attached to neighboring actin thin filaments. This lock-up is prevented in living muscle because ordinarily myosin is rapidly displaced from the thin filament by:_________.A. binding of a new molecule of ATP B. hydrolysis of ATP C. release of ADP after ATP hydrolysis D. release of phosphate after ATP hyrdolysis which is the right answer?????? HELP ASAP PLEASE !!!!!!!!!!How does the diction of this passage best support the tone?Mr. Tarq requests that the guests remain in the parlor untilthey are summoned. If there are any concerns, I will gladlyrelay them to Mr. Tarq for you.A. The use of long, complex sentences creates a reflective tone.B. Words such as "requests" and "parlor" create a sarcastic tone.C. The repetition of the character's name creates a suspicious tone.D. Words such as "requests" and "summoned" create a formal tone. Here are incomplete financial statements for Donavan, Inc. Calculate the missing amounts.DONAVAN, INC.Balance SheetAssetsCash$ 14,100 Inventory17,100 Buildings37,900 Total assets$69,100 Liabilities and Stockholders' EquityLiabilities Accounts payable$ 5,200 Stockholders' Equity Common stockEntry field with correct answer(a) Retained earningsEntry field with correct answer(b)Total liabilities and stockholders' equity$69,100 DONAVAN, INC.Income StatementRevenues$85,800 Cost of goods soldEntry field with incorrect answer now contains modified data(c)Salaries and wages expense10,400 Net Income$Entry field with incorrect answer now contains modified data(d)DONAVAN, INC.Retained Earnings StatementBeginning retained earnings$19,100Add: Net incomeEntry field with incorrect answer now contains modified data(e)Less: Dividends4,710Ending retained earnings$34,100 Students voted for a new class president and the results are shown in the table.A 2-column table with 3 rows. Column 1 is labeled Candidate with entries Rosalia, Jocelyn, Danny. Column 2 is labeled Votes with entries 124, 109, 111.The ratio 124:111 is a _______compassionpart-to-partpart-to-wholewhole-to-partwhole-to-whole Which two pairs of muscles do not work together Answers: Bicep/tricepQuadriceps/hamstringRectus abdominis/pectoralis major If Sue runs one mile every 7 minutes, and this relationship is graphed, which ordered pair would not be on the graph?A. (2, 14)B. (6, 42)C. (8, 54)D. (5, 35) Tanya enjoys being on the soccer team but she finds the fast food dinners her family eats are not providing the energy she needs both of her parents work long hours and pick up fast food meals on the way home as a quick way to feed the family describe how tanya can help her parents and improve her energy level Who took Saeng to take her test?