You have a reservoir held at a constant temperature of –30°C. You add 400 J of heat to the reservoir. If you have another reservoir at 0°C, how much heat must you add to it so that both reservoirs have the same increase in entropy?

Answers

Answer 1

Answer:

449.38 J

Explanation:

ΔS = ΔQ/T

Where ΔS = entropy change

Q = quantity of heat

T = temperature

First reservoir :

T = –30°C = - 30 + 273 = 243K

Q = 400 J

Second reservoir :

T = 0°C = 273K

Q =?

To have same increase in entropy for both reservoirs :

Q/T of first reservoir = Q/T of second reservoir

400/243 = Q/273

243 * Q = 400 * 273

Q = (400 * 273) / 243

Q = 109,200 / 243

Q = 449.38271

Q = 449.38 J


Related Questions

(a) Calculate the rate of heat conduction through house walls that are 13.0 cm thick and that have an average thermal conductivity twice that of glass wool. Assume there are no windows or doors. The surface area of the walls is 120 m2 and their inside surface is at 18.0 oC, while their outside surface is at 5.0 oC. (b) How many 1-kW room heaters would be needed to balance the heat transfer due to conduction

Answers

Answer:

a. 960 W b. One 1 kW room heater

Explanation:

a. The rate of heat conduction P = kA(T₂ - T₁)/d where k = 2 × 0.040 W/m-K =  0.080 W/m-K since the thermal conductivity of glass wool is 0.040 W/m-K and that of the material is twice the thermal conductivity of glass wool, A = area of walls = 120 m², T₁ = outside surface temperature = 5.0 °C, T₂ = inside surface temperature = 18.0 °C and d = thickness of wall = 13.0 cm = 0.13 m

P = kA(T₂ - T₁)/d

= 0.080 W/m-K × 120 m²(18.0 °C - 5.0 °C)/0.13 m

= 9.6 Wm/K × 13 K/0.13 m

= 124.8 Wm/0.13 m

= 960 W

b. The number of 1 kW room heater required will be

n = rate of heat conduction/power of one room heater = 960 W/ 1 kW = 960 W/1000 W = 0.96 ≅ 1

So we need only one 1 kW room heater.

What is the density of a 15 kg block of wood with a volume of 1.5 cubic meters;
d=m/v?
A)10
B)150
C)20

Answers

Answer: A) 10

Explanation:

I plugged in the numbers into a calculator.

Ex:

The formula for density is d=m/v so I divided 15 by 1.5 and it gave me 10.

Be careful of the wire size application chart you use, because many of them allow up to a ____ voltage drop over the length of the wire, which is more than is allowed in most automotive circuits. Group of answer choices

Answers

Answer: 0.1

Explanation: The wire size is very important when making decisions on the wiring of any equipment,house and other things. It has also been found that the size of the wire determines the load that can be allowed through it.

The right wire size application chart should always be considered before selecting the wiring diagram or system for any building or equipment as it can help to determine the amount of voltage that can be effectively carried through it.










Which statement describes a property of a proton?

Answers

Answer:

They have no charge and are present in the nucleus of an atom. They have a negative charge and travel around the nucleus of an atom. They have a positive charge and travel around the nucleus of an atom

Explanation:

The electrons, which are negatively charged particles, are drawn to the protons because they have a positive electric charge. This keeps them in an orbit around the nucleus. A proton, therefore, possesses the quality of a positive charge.

What is proton?

The proton is a stable subatomic particle with a rest mass of 1.67262 1027 kg, or 1,836 times the mass of an electron, with a positive charge that is equal to one electron's charge in magnitude.

All atomic nuclei, except for the hydrogen nucleus, are composed of protons and neutrons, which are electrically neutral particles (which consist of a single proton). A given chemical element's nuclei all contain the same number of protons.

They exist in the atom's nucleus and are not charged. They move around the atomic nucleus and have a negative charge. Likewise, they move about an atom's nucleus and have a positive charge.

Typically, a proton is made up of three quarks, which are tiny subatomic particles.

The protons are the electrically charged atom-nucleus particles that help hold the nucleus of an atom together.

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A uniform horizontal beam with a length of 8m and weigh of 200N is attached to a wall by a pin connection ..Its far end is supported by the cable tha makes an angle of 53.0 with the beam. If 600N person stands 2m from the wall , find the tension in the cable as well as the magnitude and direction of the force exerted by the wall on the beam.

Answers

Answer:

The tension in the cable is approximately 1440.0 N

Explanation:

The length of the beam = 8 m

The weight of the beam = 200 N

The angle made by the beam support cable = 53°

The weight of the person = 600 N

The position where the person stands = 2 m

The forces acting are the weight of the cable acting at the center of the beam and the weight of the person acting at 2 m from the wall

Therefore, we have;

Sum of moments = 0, which gives;

2000 × 4 + 2 × 600 - 8 × [tex]T_y[/tex] = 0

2000 × 4 + 2 × 600  = 8 × [tex]T_y[/tex]

[tex]T_y[/tex] = 9200/8 = 1150 N

The tension in the cable, T = The component of the force in the cable

The vertical component of the tension  [tex]T_y[/tex] = T×sin(53)

Therefore;

T =  [tex]T_y[/tex]/(sin(53)) = 1150/(sin(53 degrees)) = 1439.96 ≈ 1440 N

The tension in the cable, T is approximately 1440 N.

predict the reading of the spring balance when the wooden block is pulled on the sandpaper. Explain your answer. ​

Answers

Answer:

* if the spring force is greater than the maximum of the static friction force,  

               Fe = m (a + μ_k g)

* If the elastic force is less than or equal to the static friction force, the result is with static friction coefficient

              Fe =μ_s m g

Explanation:

For this exercise we must apply Newton's second law to the system

X axis

         Fe -fr = m a

         Fe = m a + fr

Y axis  

        N-W = 0

        N = W = mg

the roe force is given by

        fr = μ N

        fr = μ mg

we substitute

      Fe = m a + μ m g

      Ee = m (a + μ g)

Let's analyze the solution. We have several possibilities

* if the spring force is greater than the maximum of the static friction force, the system acquires an acceleration and the result is with the kinetic friction coefficient

               Fe = m (a + μ_k g)

* If the elastic force is less than or equal to the static friction force, the result is with static friction coefficient

              Fe =μ_s m g

Which value would complete the last cell?

(1 point)

3.0

100.0

25.0

4.0

Answers

Answer:

4.0

Explanation:

The following data were obtained from the question:

Force (F) = 20 N

Mass (m) = 5 kg

Acceleration (a) =.?

Force is simply defined as the product of mass and acceleration. Mathematically, it is expressed as

Force (F) = mass (m) x acceleration (a)

F = ma

With the above formula, we can obtain th acceleration of the body as follow:

Force (F) = 20 N

Mass (m) = 5 kg

Acceleration (a) =.?

F = ma

20 = 5 x a

Divide both side by 5

a = 20/5

a = 4 m/s²

Therefore, the value that will complete the last cell in the question above is 4.

Compared to other planets in the solar system, Earth has a wider range of temperature conditions, which contributes to Earth's ability to support life.

Answers

Answer:

Goldilocks zone of habitability.

Explanation:

Earth is the third planet in the solar system next to venus and is followed by mars as the red planet.  Due to the nature and characteristics of the earth its called the blue planet as it supports life and this is possible due to the presence of the adequate temperatures and pressure conditions that were created some 4 billion years ago. The earth has an adequate amount of temperature that is considered to be sufficient for life on the planet to exist and is called the goldilocks zone. As the earth is neither too far nor too close to the sun.

What is the difference between cytology and histology

Answers

Explanation:

what is the difference between cytology and histology

Histology involves the study of tissue and Cytology involves the study of cells, both of which are derived from various organs of the human body. The Histology laboratory is responsible for the preparation of tissue for diagnosis by Pathologists.

The quantum state of a particle can be specified by giving a complete set of quantum numbers (n,l, ml,ms). How many different quantum states are possible if the principal quantum number is n=3?

Answers

Explanation:

We need to find the quantum state of a particle can be specified by giving a complete set of quantum numbers (n,l, ml,ms).

We have the principal quantum number, n = 3

The value of l = n-1

l = 0,1,2,3

The value of [tex]m_l[/tex]

[tex]m_l=-l\ \text{to}\ +l\\\\m_l=-3,-2,-1,0,1,2,3[/tex]

The value of [tex]m_s[/tex]

[tex]m_s=\dfrac{-1}{2},\dfrac{+1}{2}[/tex]

Hence, this is the required solution.

Hi please, I Have An attachment on Waves, Just two Objective Questions Whoever Answers Will be Marked Brainliest thank you.

Answers

Answer:

The first answer is W and Z, since they appear to be a period apart. Dont know the second question. I did what I could, hope someone can answer the second.

Suppose that you have been chosen for a space mission to a distant planet. Due to the length of time you'll be away from Earth you must carry out physical activity every day. On earth your, strength and conditioning trainer has determined you must do 90 minutes of exercise every day. If the vehicle is travelling at 0.80 c how much time, according to a timer on the space vehicle should you be active to meet your physical activity requirement?

Answers

Answer:

I should be active for 15 hours to meet the physical activity requirement.

Explanation:

Since time dilates in moving objects, we use the formula t = t₀/√(1 - β²) where t = time in space vehicle, t₀ = time on earth = 9 hours and β = v/c where v = speed of space vehicle = 0.8c.

So, t = t₀/√(1 - β²)

t = 9/√(1 - (v/c)²)

= 9/√(1 - (0.8c/c)²)

= 9/√(1 - (0.8)²)

= 9/√(1 - (0.64)

= 9/√0.36

= 9/0.6

= 15 hr

So, according to a timer on the space vehicle, I should be active for 15 hours to meet the physical activity requirement.

A physical inventory on December 31 shows 3500 units on hand. Bonita sells the units for $15 each. The company has an effective tax rate of 20%. Bonita uses the periodic inventory method. The weighted-average cost per unit is

Answers

The answer would be 10,500 be cause you multiply 3500 times 15 and you get 52500 the you multiply that by .20 and you get 10,500.

What evidence supported the inflation theory? (the big bang theory one pls)

Answers

Answer:

The comic microwave background

Explanation:

The cosmic microwave background is said to be part of the remnant of the Big Bang that happened which resulted in the formation of the universe. This is because the universe was thought to be a very hot place which resulted in the expansion of it.

The heat was said to have resulted in the cooling of gases present and the remnant of the heat is what formed the radiation called the cosmic wave background.

The Coulomb force between two charges q1 and q2 at separation r in air is F. If half of the separation is filled with medium of dielectric constant 9, what will be the value of new coulomb force?

Answers

Answer:

The new Coulomb force is q₁q₂/9πε₀r²

Explanation

The coulomb force between the two charges q₁ and q₂ at a distance r in air is given by F = q₁q₂/4πε₀r².

Now, let us assume the material of dielectric constant κ = 9 is placed between them on the side of the q₁ charge. The value of its effective charge is now q₃ = q₁/κ at a distance of d = r/2 from the q₂ charge.

Since we have air between q₂ and q₃, the coulomb force between them is

F' = q₂q₃/4πε₀d²

= q₂(q₁/κ)/4πε₀(r/2)²

=  4q₂q₁/κ4πε₀r²

= 4/κ(q₂q₁/4πε₀r²)

= 4/9 × (q₂q₁/4πε₀r²)

= q₁q₂/9πε₀r²

So, the new Coulomb force is q₁q₂/9πε₀r²

why do i need physics for zoology

Answers

Answer:

No, buddy physics is not important for zoology you should take biology ok...

Hope you like it please thank me and follow me

Select the correct answer. Ben has $10 to spend on dinner. He can have a pizza delivered, drive to a burger place, or go to the grocery store to get ingredients for a fresh salad. In the end, he goes with the salad. If each meal would have cost him the same amount, what is Ben’s incentive for choosing salad? A. to eat a healthier meal B. to help the local economy C. to save gas D. to save on his telephone bill

Answers

Answer:

A. to eat a healthier meal

Explanation:

The answer would be A, to eat a healthier meal. Eating a serving of mixed greens can enable Ben to shed pounds in the event that it encourages you to diminish your aggregate calorie admission. Pick filling fixings with the goal that you are not as ravenous and eat less, and keep your plates of mixed greens low in calories so they give fewer calories than the feast or tidbit that they are supplanting.

An object is to be dropped from an aeroplane so as to hit a target on the ground. If the aeroplane is travelling horizontally at 80m/s at a height of 2000m, calculate the position of the aeroplane when the object is released​

Answers

Answer:

you live it will be around 23 to 82% angle

Explanation:

just think about yourself going in the high-speed and then jumping and then just think of all know that person just jumping without being going to high speed

1
A force 2ON acts at a distance of 2n from a pivot.
what is the moment
force about the pivot

Answers

Answer:

[tex]\large \boxed{\mathrm{40 \ Nm}}[/tex]

Explanation:

[tex]\sf Moment \ (Nm) = Force \ (N) \times Distance \ from \ pivot \ (m)[/tex]

[tex]M=20 \times 2[/tex]

[tex]M=40[/tex]

Look at the diagram below. The value of equivalent resistor is: A. 4 Ω B. 6 Ω C. 8 Ω D. 10 Ω

Answers

Answer:

R=4Ω

Explanation:

R1 and R3 are parrallel

so we have : R=R1*R2/R1+R2

R=6*3/6+3

R=18/9

R=2Ω

R2 and 2Ω are in series,so we have

R=R2+2

R=2+2

R=4Ω

You put a piece of ice into a glass of lemonade at room temperature. Which statements explains the heat flow in this scenario? A. Heat flows in both directions. B. Heat flows from the ice to the lemonade. C. Heat flows from the lemonade to the ice. D. Heat flows from the ice to the lemonade to the glass.

Answers

Answer:

C. Heat flows from lemonade to the ice

Explanation:

Transfer of heat from the drink to the ice is what melts the ice and cools the drink.

d. Write the symbol for the nucleus that completes each nuclear equation. (1 point each)

Answers

Answer:

Ra, 88

Ru, 44

Cr, 24

Explanation:

i

the remaining mass number is 224(228 - 4), and it's atomic number is 88(90 - 2). The element is Radium, Ra

ii

the remaining mass number is 98(98 - 0), and it's atomic number is 44(45 - 1). The element is Ruthenium, Ru

iii

The remaining mass number is 52(52 - 0), and it's atomic number is 24(23 - -1). The element is Chromium, Cr

A bullet of mass m, moving horizontally with speed u, meets a block of wood of mass M, travelling along the same line but in the opposite direction with speed ,U, and remains embedded in it. Show that the loss of kinetic energy is of the form 1/2kMm, where k is in terms of u, U, m, M and find the loss in KE when the bullet of mass 4.0g, travelling at 890ms^-1 hits a block of wood, mass 4.0kg moving at 7.0ms^-1

Answers

Answer:

Explanation:

First of all we shall calculate the velocity of composite mass . Let it be v . Applying law of conservation of momentum

mu - MU = ( m + M ) v

v = mu - MU /  ( m + M )

loss of kinetic energy

= 1/ 2 mu² + 1/2 MU² - 1/2 ( M +m ) v²

= 1/ 2 mu² + 1/2 MU² - 1/2 ( M +m ) (mu - MU)² / ( m + M )²

= 1/ 2 mu² + 1/2 MU² - 1/2  (mu - MU)² / ( m + M )

= 1/2 [ m²u² + mMu² +mMU² + m²U² - m²u² - M²U² - 2 muMU ] /  ( m + M )

=  1 / 2 [ mMu² + mMU² - 2 muMU ] /  ( m + M )

= 1 / 2mM  [ (u² + U² - 2 uU)  /  ( m + M )]

= 1/2 mM  x k

where

k =  [ (u² + U² - 2 uU)  /  ( m + M )]

Given

m = .004 kg

M = 4 kg

u = 890 ms⁻¹

U = 7 ms⁻¹

k = ( 890² + 7² - 2 x 890 x 7 ) / 4.004

= ( 792100 + 49 - 12460 ) / 4.004

= 194727.52

loss of kinetic energy

= 1/2 mM  x k

= .5 x .004 x 4 x 194727.52

= 1557.82 J .

Every time Dylan takes his dog Frisbee for a walk, the dog always pulls hard on the leash. This nearly pulls Dylan's arm out of its socket and Frisbee almost chokes himself! Explain these effects in terms of Newton's third law.

Answers

Answer:

See explanation below for Newton's third law of "action generates reaction" for this example

Explanation:

From Newton's third law: "For every action there is an equal and opposite reaction."

Frisbee is pulling on the leash with force F which is felt by Dylan as a tension force in the leash trying to pull his arm out of its socket, and Frisbee feels an equal and opposite tension force from the leash chocking him.

A round steel plate with a diameter of 20 cm is supplied with heat in such a way that its temperature changes from 22 ° C to 150 ° C. How much does its area increase?

Answers

Answer:

1.05×10⁻⁴ m²

Explanation:

ΔA = 2 A₀ α ΔT,

where ΔA is the change in area,

A₀ is the initial area,

α is the linear expansion coefficient,

and ΔT is the change in temperature.

A₀ = π (0.20 m / 2)² = 0.0314 m².

For steel, α = 13×10⁻⁶ /°C.

ΔT = 150°C − 22°C = 128°C.

ΔA = 2 (0.0314 m²) (13×10⁻⁶ /°C) (128°C)

ΔA = 1.05×10⁻⁴ m²

How has the games changed over the years?

Answers

Answer:

The definition of the particular circumstance consists provided in the subsection on the interpretation elsewhere here.

Explanation:

Throughout the past 10-20 years, the computer games industry is experiencing some insane shifts. Several of the adjustments are responsible for the observed market developments, while others are related to just the tech boom as well as technological development across the global economy. Here is another glimpse at some instances of how and why the gaming industry has evolved in just the last few decades.

A disk-shaped dough is initially spinning at 2 rotations per second (1 rotation = 360°). As time goes on, it slowly deforms, and is now spinning at a different angular speed. The dough changed radius from 16 cm to 17 cm, and its mass remained constant throughout. What is its final angular speed in degrees/s?

Answers

Answer:

10.44° per sec

Explanation:

Initial angular speed N = 2 rotations per minute

converting to rad/s ω = 2πN/60 = (2 x 3.142 x 2)/60 = 0.21 rad/s

the initial radius of the disk = 16 cm = 0.16 m

final radius = 17 cm = 0.17 m

Angular momentum = [tex]I[/tex]ω

where [tex]I[/tex] = rotational inertia = mass x [tex]radius^{2}[/tex]

ω = angular speed

For the initial case

[tex]I[/tex] = m x [tex]0.16^{2}[/tex] = 0.0256m

Angular momentum = 0.0256m x 0.21 = 0.0054m

For second case

[tex]I[/tex] = m x [tex]0.17^{2}[/tex] = 0.0289m

Angular momentum = 0.0289m x ω = 0.0289mω

For conservation of rotational momentum, initial angular momentum must be equal to the final angular momentum

0.0054m = 0.0289mω

m cancels out, we have

0.0054 = 0.0289ω

ω = 0.187 rad/s

converting back to rpm, we have

N = 0.187/2π = 0.029 rotations per sec

0.029 x 360 = 10.44° per sec

If you go to a nutrition store and buy a supplement you can count on the fact that it is pure and safe because supplements are regulated controlled and inspected by the FDA

Answers

Answer:

The answer is False.

Explanation: The FDA (food and drug administration) is a regulatory agency of the United state Government, they regulate the production and distribution of food and drugs within the United States of America, ensuring that standards are met and followed.

Most of the approvals given to food and drugs by FDA are done based on random sampling of products which may not be able to capture all the defective products in a given lot or batch of supplies, which is why it very necessary to take other measures to verify the wholesomeness, authenticity etc of a given product before purchasing or making use of such products.

Answer:

false

Explanation:

got right on egd

When the hydraulic conductivity Ks = 10 mm/hr; effective matrix potential Ns = 20 mm, and rainfall intensity I = 30 mm/hr , determine the amount of runoff generated when the runoff rate reaches 15 mm/hr?( 2.7 mm or 0.21 mm or 18 mm or 0.67 mm)

Answers

Answer:

[tex]t = 0.75 \ hr = 0.75 *60 = 45 \ minutes[/tex]

Explanation:

From the question we are told that

   The  hydraulic conductivity is  [tex]Ks = 10\ mm/hr[/tex]

    The  effective matrix potential [tex]Ns = 20 \ mm[/tex]

    The  intensity of  rainfall is  [tex]I = 30 \ mm/hr[/tex]

    The runoff rate [tex]R = 15 \ mm/hr[/tex]

Generally the run off rate is mathematically represented as  

      [tex]R = (I - Ks) t[/tex]

Here t is the amount of runoff generated

=>   [tex]15 = (30 - 10) t[/tex]

=>  [tex]t = 0.75 \ hr[/tex]

converting to minutes

    [tex]t = 0.75 \ hr = 0.75 *60 = 45 \ minutes[/tex]

Water floats on a liquid called "carbon tetrachloride." The two liquids do not mix. A light ray passing from water into carbon tetrachloride has an incident angle of 45.0° and an angle of refraction of 40.1°. If the index of refraction of water is 1.33, what is the index of refraction of carbon tetrachloride?

Answers

Answer:

1.26

Explanation:

[tex]index \: of \: refraction \: = \: \ \frac{ \sin(angle \: of \: incidence) }{ \sin(angle \: of \: refraction) } [/tex]

[tex] \frac{ \sin(45.0) }{ \sin(40.1) } [/tex]

= 1.26

Refractive index is defined as the ratio of speed of light in the vacuume and in the medium.The index of refraction of carbon tetrachloride is 1.26.

Refractive index:

It is defined as the ratio of speed of light in the vacuume and in the medium.

[tex]\bold { n={\dfrac {c}{v}}}[/tex]

where

c -speed of light in vacuum

v - phase velocity of light in the medium.

It can also be calculated by the angle of refration,

[tex]\bold { n={\dfrac {sin\ i}{sin\ r}}}[/tex]

Where,

Sin i - angle of incidence = 45.0

sin r - angle of  refraction = 40.1

Put the values in the formula,

[tex]\bold { n= {\dfrac {45.0}{40.1 }}}\\\\\bold { n= 1.26}[/tex]

Thereforew, the index of refraction of carbon tetrachloride is 1.26.

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What substance heats up the fastest: water, dry sand, wet sand, rock A survey of 500 randomly selected adults found that 57% say that they would take a ride in a fully self-driving car. The 95% confidence interval for the true proportion of all adults who would take a ride in a full self-driving car is found to be (0.5266, 0.6134). Can we conclude that the majority of all adults would take a ride in a fully self-driving car? Yes; Since the confidence interval limits are both greater than 50%, we can reasonably conclude that more than half of all adults would take a ride in a fully self-driving car. No; The data does not include all adults, so we cannot make a conclusion about the population. No; The confidence interval limits are not large enough to determine that a majority rely only on cellular phones. The proportion would need to be much greater than 50%, and the one above is only slightly larger. Yes; Since the proportion of adults who said yes is 57%, and this is higher than 50%, we can conclude that a majority would take a ride in a fully self-driving car. Select the correct answer.What was the primary purpose of Southern implementation of Black Codes?A.to authorize the use of force to implement the Thirteenth AmendmentB.to create standard alphabet and language for blacks to begin schoolingC.to ensure that blacks would remain landless and subservientD.to repeal the Emancipation Proclamation after the Civil War Beijing is located of Shanghai. Shanghai is located slightly north of the line of latitude. Which country shares a border with the northernmost part of China? What are two countries located between the 105 E and 135 E lines of longitude? 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Infants weiging less than 1500 grams at birth are classed as "very low birth weight". Low birth weight carriesmany risks. One study followed 113 male infants with very low birth weight to adulthood. At age 20, the mean IQ score for these men was (x bar=87.6.) Iq scores vary Normally with standard deviation =15. Give a 95% confidence interval for the mean IQ score at age 20 for allvery-low-birth-weight males. Use the four-step process for confidence interval. 2x-15=3(2x+3)Its multi step equations 7. Problems and Applications Q2 Indicate what happens to the unemployment rate and the labor-force participation rate in each of the following scenarios. Scenario Effect On... Unemployment Rate Labor-Force Participation Rate After a long search, Jon finds a job. Tyrion, a full-time college student, graduates and is immediately employed. After an unsuccessful job search, Arya gives up looking and retires. Daenerys quits her job to become a stay-at-home mom. Sansa has a birthday, becomes an adult, but has no interest in working. Jaime has a birthday, becomes an adult, and starts looking for a job. Cersei dies while enjoying retirement. Jorah dies working long hours at the office. If a person had not drunk any water for 8 hours before collecting a sample, would you expect his/her urine to have a high or low specific gravity? Why? electricity, isrcises1. FYIl in the blanks.(a) Most liquids that conduct electricity are solutions ofand(b)The passage of an electric current through a solution causeeffects1o Write a letter to your friend highlighting the recent changes anddevelopment activities in your district. Earth is 9.3 X 10^(7)mi from the sun. Saturn is about 8.9 X 10^(8) from the sun. About how much farther from the sun is Saturn than earth .. Which of the following has a well described setting that creates an atmosphere?A. My favorite place in the world is my grandmas house. Why? Because my grandma lives there of course. She is the sweetest woman in the world. She is always baking cookies and knitting sweaters. She is the greatest and I love her so much.B. Georges house was incredibly organized. Georges car was incredibly organized. Georges office was, you guessed it, incredibly organized. George felt that whenever anything was out of place, his life would be out of place.C. Crime in this city is on the rise. We have had five reports of arson in the past year. Some were gang related while others seemed to have been done for no reason. This town needs a defender. That defender is me.D. The white padded cell was meant to hold the insane, but to be honest it could drive someone insane. The white walls reflected the light, so it never seemed to get dark enough for sleep. The fan in the cell makes a horrible noise and if that does not get you, the constant dripping water will. It is truly a horrible place. Starting with x1 = 2, find the third approximation x3 to the root of the equation x3 2x 2 = 0. Which of the following BEST describes Information Technology (IT)?IT refers to everything that involves computers.IT deals with how to turn information into meaningful decisions.IT has to do with collecting and utilizing data.IT refers to designing, creating, and improving software. Given the following three points, find by hand the quadratic function they represent.(0,6), (2,16), (3, 33)(1 point)f(x) = 4x2 3x + 6f(x) = -4x2 3x + 6Of(x) = -4x2 + 21x + 6Of(x) = 4x2 + 3x + 6Given the following three points, find by hand the quadratic function they represent.(-1,-8), (0, -1),(1,2)(1 point)O f(x) = -3x2 + 4x - 1O f(x) = -2x2 + 5x - 1Of(x) = -5x2 + 8x - 1O f(x) = -3x2 + 10x - 1Find the equation of a parabola that has a vertex(3,5) and passes through the point(1,13). (1 point)Oy=2(x 3)' + 5Oy= -2(x 3)' + 5Oy= -3(x 3)' +5Oy= 2(x + 3)" - 5Determine if the following set of ordered pairs represents a quadratic function. Explain.(5, 7), (7, 11), (9, 14), (11, 18)(1 point)The y-values go up by the square of the x-value (22 = 4). Therefore, the ordered pairs represent a quadratic equation.The y-values go up by the square of the x-value (22 = 4). Therefore, the ordered pairs do not represent a quadratic equation.Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.Since the differences between the x-values is 2 and the differences between the y-values is 4, that means that the differences between the differencesof the y-values are all zero. Therefore, the ordered pairs represent a quadratic equation.Determine if the following table represents a quadratic function. Explain.1234.5y 13 22 37 58 85(1 point)O The differences between the differences of the y-values is a constant 6, so the ordered pairs do not represent a quadratic equation.The differences between the y-values is a constant 9, so the ordered pairs represent a quadratic equation.The differences between the differences of the y-values is a constant 6, so the ordered pairs represelo a quadratic equation.The differences between the y-values is a constant 9, so the ordered pairs do not represent a quadratic equation.im in a rush :( pls help A company with $70,000 in current assets and $50,000 in current liabilities pays a $1,000 current liability. As a result of this transaction, the current ratio and working capital will Simplify -(7/x-2)+(2x/x) Simplify your answer as much possible