At 127°c,400ml of a gas exerts a pressure of 120 torr. What would be the pressure exerted by 200ml of a gas if the temperature decrease to 27°c?​

Answers

Answer 1

Answer:

180 Torr.

Explanation:

Step 1:

Data obtained from the question. This include the following:

Initial temperature (T1) = 127 °C

Initial volume (V1) = 400 mL

Initial pressure ( P1) = 120 Torr

Final volume (V2) = 200 mL

Final temperature (T2) = 27 °C

Final pressure (P2) =..?

Step 2:

Conversion of celsius temperature to Kelvin temperature.

This is illustrated below:

Temperature (Kelvin) = Temperature (celsius) + 273

T(K) = T(°C) + 273

Initial temperature (T1) = 127 °C

Initial temperature (T1) = 127 °C + 273 = 400 K

Final temperature (T2) = 27 °C

Final temperature (T2) = 27 °C + 273 = 300 K

Step 3:

Determination of the final pressure.

This can be obtained by using the general gas equation as shown below:

Initial temperature (T1) = 400 K

Initial volume (V1) = 400 mL

Initial pressure ( P1) = 120 Torr

Final volume (V2) = 200 mL

Final temperature (T2) = 300 K

Final pressure (P2) =..?

P1V1/T1 = P2V2/T2

120 x 400/400 = P2 x 200/300

120 = P2 x 2/3

Cross multiply

P2 x 2 = 120 x 3

Divide both side by 2

P2 = (120 x 3)/2

P2 = 180 Torr.

Therefore, the new pressure exerted by the gas is 180 Torr.


Related Questions

E ) The distribution coefficient , Ko ( Cether / C water ) , for an organic substance X at room temperature is 13. What relative volume of ether to water should be used for the extraction of 94 percent of X from a water solution in single extraction ?

Answers

Answer:

Relative volume of ether to water that should be used for the extraction = 1.205

Explanation:

The extraction/distribution coefficient of an arbitrary solvent to water for a given substance is expressed as the mass concentration of the substance in the arbitrary solvent (C₁) divided by the mass concentration of the substance in water (C₂).

K = (C₁/C₂)

Let the initial mass of the organic substance X in water be 1 g (it could be any mass basically, it is just to select a right basis, since we are basically working with percentages here).

If 94% of the organic substance X is extracted by ether in a single extraction, 0.94 g ends up in ether and 0.06 g of the organic substance X that remains in water.

Let the volume of ether required be x mL.

Let the volume of water required be y mL.

Relative volume of ether to water that should be used for the extraction = (x/y)

Mass concentration of the organic substance X in ether = (0.94/x)

Mass concentration of organic substance X in water = (0.06/y)

The distribution coefficient , Ko (Cether / C water), for an organic substance X at room temperature is 13.

13 = (0.94/x) ÷ (0.06/y)

13 = (0.94/x) × (y/0.06)

13 = (15.667y/x)

(x/y) = (15.667/13) = 1.205

Hope this Helps!!!

Which statement correctly describes a feature of the rock cycle?
PA
Rocks are preserved through the process.
Rocks change from one type to another.
Different rock groups are not related to one another.
Rocks change from one type to another in a specific order.

Answers

Answer:

It’s D

Explanation:

Answer:

D Rocks change from one type to another in a specific order.

Explanation:

Will knows that the gravitational pull of Mars is less than the gravitational pull of Earth. When he lands on Mars, his mass will be

Answers

Answer:

i think it will "Equal to 75 Kg"

Explanation:

object/person remains same, his mass is somewhere, so it would remain same everywhere. Only Weight of a person changes with gravity

hope i helped

-lvr

A student weighs out a 6.64 g sample of , transfers it to a 500. mL volumetric flask, adds enough water to dissolve it and then adds water to the 500. mL tick mark. What is the molarity of cobalt(II) fluoride in the resulting solution

Answers

Answer:

the molarity of cobalt(II) fluoride in the resulting solution is = 0.137  M

Explanation:

Given that :

a student dissolves 6.64 g of CoF₂  into 500 mL of water

volume of the solution(water) = 500 mL = 0.50 L

The standard  molar mass of CoF₂ is 96.93 g/mol

number of moles of CoF₂ = mass of CoF₂/molar mass of CoF₂

number of moles of CoF₂ = 6.64 g/96.93 g/mol

number of moles of CoF₂ = 0.0685 mol

The molarity of any given substance is known to be as the number of moles of solute dissolved in one litre of solution.

Thus ;

Molarity of  cobalt(II) fluoride CoF₂ in the resulting solution is = number of moles / Volume in (L)

Molarity of  cobalt(II) fluoride CoF₂  = 0.0685 mol/ 0.50 L

= 0.137  M

Thus ; the molarity of cobalt(II) fluoride in the resulting solution is = 0.137  M

Balance the chemical equations

Answers

Answer:

Explanation:

1).  Ca(NO₃)₂ + KI → CaI + K(NO₃)₂

    This equation is incorrect.

    When Ca⁺⁺ reacts with I⁻, final product is CaI₂

    And when K⁺ react with NO₃⁻, final product is KNO₃

    Hence the equation will be,

    Ca(NO₃)₂ + KI → CaI₂ + KNO₃

    Now we have to balance this equation.

     Ca(NO₃)₂ + 2KI → CaI₂ + KNO₃

                          ↓

     Ca(NO₃)₂ + 2KI → CaI₂ + 2KNO₃

2). Ca(NO₃)₂ + KOH → CaOH + K(NO₃)₂

    This equation is incorrect,

    Since the reaction of Ca⁺⁺ with OH⁻ gives the final product     Ca(OH)₂

    And final product of K⁺ and NO₃⁻ is KNO₃

    Therefore, the equation will be,

    Ca(NO₃)₂ + KOH → Ca(OH)₂ + KNO₃

    Now we will balance this equation by changing the coefficients of the      molecules until the number of atoms on both the sides become equal.

    Ca(NO₃)₂ + KOH → Ca(OH)₂ + 2KNO₃

                                ↓

     Ca(NO₃)₂ + 2KOH → Ca(OH)₂ + 2KNO₃

3). Ca(NO₃)₂ + Na₂C₂O₄ → CaC₂O₄ + 2Na(NO₃)₂

    This equation is incorrect,

    Since the reaction of Na⁺ and NO₃⁻ gives the final product    NaNO₃.

    Therefore, the correct equation will be,

    Ca(NO₃)₂ + Na₂C₂O₄ → CaC₂O₄ + 2NaNO₃

     This equation is in the balanced form.

If a sample of Fe2S3 contains 1.25x10ˣ15 iron atoms what is the mass in grams?

Answers

Answer:

mass = 0.00000043189g

How many moles of silver are equivalent to 2.408 x 10^24 atoms

Answers

i found this i hope this helps you

The mole is used to measure small particles like atoms and molecules.  The 4 moles of silver is equivalent to [tex]\bold{2.408 x 10^2^4 }[/tex] atoms.

Given here,

The number of atoms

[tex]\bold{2.408 x 10^2^4 }[/tex]

Number of moles = ?

1 mol of substance = [tex]\bold{ 6.02 x10^2^3}[/tex]

Hence,

moles of silver,

[tex]\bold {= \dfrac {2.408 x 10^2^4 } { 6.02 x10^2^3} }}\\\\\bold {= 4 mol}[/tex]

Therefore, the 4 moles of silver is equivalent to [tex]\bold{2.408 x 10^2^4 }[/tex] atoms.

To know more about mole concept, refer to the link:

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Which title is most appropriate for this table? ANSWERS: Uses of Functional Groups Involving Oxygen Natural Sources of Functional Groups Involving Oxygen Uses of Functional Groups Involving Halides and Amines Natural Sources of Functional Groups Involving Halides and Amines

Answers

Answer:

Uses of Functional Groups Involving Oxygen

Explanation:

From the table given above, we obtained the following:

1. The functional group of each compound contains oxygen.

2. The table shows the uses of each compound.

From the observations made above, we can say that the most appropriate title for the table is:

Uses of Functional Groups Involving Oxygen.

Answer:

A.

Explanation:

first guy is right give him brainliest

do you always have to begin with two compounds in a neutralization reaction

Answers

Answer:

Yes.

Explanation:

Only an acidic compound and then a basic compound react(neutralization reaction) to give a salt.

Acid+Base=Salt+Water.

Hope this helps❤❤❤

Yes, we always have to begin with two compounds in a neutralization reaction.

What is a neutralization reaction?

A neutralization reaction can be defined as a chemical reaction in which an acid and base quantitatively react together to form salt and water as products.

When an acid and a base react, the reaction is called a neutralization reaction. That's because the reaction produces neutral products. Water is always one product, and salt is also produced. Salt is a neutral ionic compound.

Yes, we always have to begin with two compounds in a neutralization reaction.

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Polarity of water. Which is the correct answer?

Answers

The correct answer will be the first one, promotes the formation of hydrogen bonds.

This is the reaction of “the polarity of water molecules”

Tick the correct choice and give reason why you have selected the particular choice. [20] 1. A cup of hot tea is left in the same room as a bowl of ice-cream. What is likely to happen to both after some time, if both are placed on the dining table? A. The tea becomes as cold as ice cream B. The ice cream becomes warmer than the tea C. The tea cools to room temperature, the ice cream melts and warms to room temperature D. The tea becomes colder than before but not as cool as the air in the room

Answers

Answer:

C. The tea cools to room temperature, the ice cream melts and warms to room temperature.

Explanation:

The tea's temperature was higher than room temperature. The ice cream's temperature was lower than room temperature. After some time, both items will become room temperature, which results in cooling and melting.

hurry please! avogadro's law relates the volume of a gas to the number of moles of gas when temperature and pressure are constant. according to this law, how many moles of gaseous product would be produced by 2 moles of gaseous reactants if the volume of the gases doubled?

Answers

Answer:

Option B. 4 moles of the gaseous product

Explanation:

Data obtained from the question include:

Initial volume (V1) = V

Initial number of mole (n1) = 2 moles

Final volume (V2) = 2V

Final number of mole (n2) =..?

Applying the Avogadro's law equation, we can obtain the number of mole of the gaseous product as follow:

V1/n1 = V2/n2

V/2 = 2V/n2

Cross multiply

V x n2 = 2 x 2V

Divide both side by V

n2 = (2 x 2V)/V

n2 = 2 x 2

n2 = 4 moles

Therefore, 4 moles of the gaseous product were produced.

The combustion of methane is a reaction commonly used in chemistry problems due to its ability to fit into multiple topics. So it should not surprise you to see it here as well. How many L of CO2 would be produced if 45 g of CH4 was combusted with ample oxygen in a room that was 90 degrees Celsius and under 1 atm of pressure

Answers

Answer:

20.76 L OF CO2 WILL BE PRODUCED BY 45 G OF METHANE.

Explanation:

Equation of the reaction:

CH4 + 02 --------> CO2 + 2H20

Molar mass of methane = ( 12+ 1*4) g/mol = 16 g/mol

Calculate the number of moles present in 45 g of methane

1 mole of methane = 16 g / mol of methane

(45 / 16) mole of methane = 45 g of methane

= 2.8125 moles

Using the ideal gas equation:

PV = nRT

P = 1 atm

n = 2.812 moles

T = 90 C

R = 0.082 L atm/ mol C

V = unknown

So we have:

V = nRT / P

V = 2.8125 * 0.082 * 90 / 1

V = 20.756 L

In the production of CO2 by 45 g of methane, 20.756 L of methane was used.

Then, the volume of CO2 produced by this volume will be 20.756 L since 1 mole of methane produces 1 mole of CO2.

In other words;

1 mole of CH4 = 1 mole of CO2

22.4 dm3 of CH4 = 22.4 dm3 of CO2

20.76 DM3 = 20.76 dm3

The volume of CO2 produced will therefore be 20.76 L

How many molecules are there in 45 moles of diphosphorus trioxide?​

Answers

Answer:

[tex]2.71(10^{25})[/tex] molecules

Explanation:

Remember 1 mol is equal to Avogadro's number

[tex]45 mol (\frac{6.02(10^{23}) molecules}{1 mol})[/tex]

Which reaction occurs at the anode of a galvanic cell that has a zinc
electrode in an electrolyte with zinc ions and a copper electrode in an
electrolyte with copper ions? The reduction potential for the reduction of Cu2+
= 0.34 V. The reduction potential for the reduction of Zn2+ = -0.76 V.
A. Zn(s) → Zn2+(aq) + 2e
B. Cu(s) → Cu2+(aq) + 2e
C. Zn2+ (aq) + 2e → Zn(s)
D. Cu2+ (aq) + 2e →
Cu(s)

Answers

Answer: The reaction that occurs at anode is [tex]Zn(s)\rightarrow Zn^{2+}(aq.)+2e^-[/tex]

Explanation:

Given : [tex]E^o_{Zn^{2+}/Zn}=-0.76V[/tex]

[tex]E^o_{Cu^{2+}/Cu}=+0.34V[/tex]

The substance having highest positive reduction potential will always get reduced and will undergo reduction reaction. Here, copper will undergo reduction reaction will get reduced.

The substance having highest negative reduction potential will always get oxidised and will undergo oxidation reaction. Here, zinc will undergo oxidation reaction will get oxidised.

Oxidation reaction occurs at anode and reduction reaction occurs at cathode.

Oxidation half reaction (anode) : [tex]Zn(s)\rightarrow Zn^{2+}(aq.)+2e^-[/tex]

Reduction half reaction (cathode) : [tex]Cu^{2+}(aq.)+2e^-\rightarrow Cu(s)[/tex]

Why does carbon form covalent bonds?

Answers

Answer:

Carbon has 4 electrons in its outermost shell. ... Therefore, carbon completes its octet by sharing its 4 electrons with other carbon atoms or with atoms of other elements and forms covalent bond. It forms strong covalent bonds because of its small size.

Explanation:

En la electrólisis del Cloruro de plomo se han depositado 2.6 gramos del metal en 20 minutos el peso atómico del plomo es 206 calculo la intensidad de la corriente eléctrica empleada AYUDENNNNN PLISSSS es para hoy!!!!!

Answers

Answer:

2.01 A

Explanation:

Para esta pregunta debemos empezar por la semi-reaccion del plomo:

[tex]Pb^+^2~_(_a_q_)~+~2e^-~->~Pb_(_s_)[/tex]

Se intercambian dos electrones en la semi-reacción del plomo. Si tenemos en cuenta la ecuación:

[tex]n=\frac{I*t}{z*F}[/tex]

Donde:

n= Moles depositados

I= Intensidad de corriente (en Amperios)

z= Numero de electrones intercambiados

F= Constante de faraday = 96484 C/mol

t=tiempo (en segundos)

Que conocemos de esta ecuación?

Los moles (se pueden calcular a partir de la masa atómica del plomo, 207.2 g/mol)

[tex]2.6~g~Pb\frac{1~mol~Pb}{207.2~g~Pb}=0.0125~mol~Pb[/tex]

El tiempo (hay que convertirlo a segundos):

[tex]20~min\frac{60~s}{1~min}=1200~s[/tex]

Z (Numero de electrones)

De acuerdo a la semi-reacción son intercambiados 2 electrones.

Por lo tanto podemos resolver para "I":

[tex]I=\frac{n*z*F}{t}=\frac{0.0125~mol*2*96484\frac{C}{mol}}{1200~s}[/tex]

[tex]I~=~2.01~\frac{C}{s}=2.01~A[/tex]

Espero que sea de ayuda!

What is chemical potential energy?

Answers

Answer:

Chemical potential energy is the energy stored in the chemical bonds of a substance.

Explanation:

1.825 gm HCl is dissolved in 250 ml solution. What is the pH of that solution? Please answer with the explanation.

Answers

The first step is calculating the number of HCl moles. The molar mass of HCl is AH+ACl which is 1+35,5=36,5 g/mole. The formula for the pH is -lg[H+] where [H+] is the molar concentration of protons in the solution. To find the molar concentration we need to divide the number of moles by the volume(L).

We get the number of moles by dividing the mass given in the problem to the molar mass of the compound.1.825/36.5=0.05 moles of HCl so 0.05 moles of

H+.Molarity=n/V=0.05/0.25=0.2moles/liter.The pH is -lg0.2=2.321.

How would you measure the specific latent heat of vaporisation of a liquid?

Answers

Answer:

Ramsey and Marshall method.

Explanation:

The specific latent heat of vapourization of a liquid is measured by a modification of the method of Ramsey and Marshall in the year 1896.

why is temperature not a chemical change

Answers

Answer:

Temperature is not a chemical change because when a substance changes in temperature, its chemical makeup is not changing.

With carbon dioxide, what phase change takes place when pressure
increases from 1 atm to 10 atm at -40°C?
Carbon Dloxide Phase Diagram
Melting
point
Boling
point
20-
15-
Liquid
Pressure (atm)
10-
Solid
5-
Gas
0
0
00
-100
Temperature (°C)
A. A solid changes to a liquid.
B. A liquid changes to a solid.
O C. A liquid changes to a gas.
D. A gas changes to a liquid.

Answers

Answer:B. A liquid changes to a solid.

Explanation:

A Liquid changes to solid when pressure

increases from 1 atm to 10 atm at -40°C

What is the concept for this?The increase in pressure on liquid it forms a solidIf the pressure above the liquid is decreased sufficently, the liquid form a gas

How to solve this problem?Here the Freezing point is -78.33°C i.e [-109°F]above this temperature CO2 remains in liquid state

So, given at -40°C

CO2 will be in liquid state and as per the concept explained above by increasing the pressure on liquid we get the solid state

Thus , With CO2 a liquid phase change to a solid

phase when pressure increases 1 atm to 10atm at -40°C

Learn more about phase diagram here

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which of the following us not a property of salt in the ionic and covalent properties lab

Answers

Explanation:

I think Low melting point

because NaCl (salt has mp 801 degC)

Water has mp 0 degC

Using the balanced equation below, how many grams of iron(iii) oxide would be required to make 187g iron Fe2O3+3CO = 2Fe+3CO2

Answers

Answer:

267.14 iron oxide.

Explanation:

Given that

[tex]Fe_2O_3+3CO = 2Fe+3CO_2[/tex]

We know that molecular mass of iron-oxide = 160 g/mole.

We know that molecular mass of iron = 56 g/mole.

From the above reaction we can say that

1 mole of iron -oxide produce 2 mole of iron

160 gm of iron oxide produce 112 gm of iron

So

1 gm of iron required [tex]\dfrac{160}{112}=1.42 gm[/tex] of iron oxide

Therefore

187 gm of iron required [tex]1.42\times = 187 = 267.14\ gm[/tex] of iron oxide.

Therefore 187 gm of iron required 267.14 iron oxide.

Answer: 267.14

Explanation:

how many moles of O2 react with .75 moles of c10h22

Answers

Answer:

2 moles

Explanation:

why am i blonde.............

Answers

Answer:

because your parents carry the recessice gene or they are blond

Explanation:

it could also be ffrom a mutation or just because you dyed your hair

Which statement accurately describes tectonic plate movement? A)Tectonic plate movement can be prevented with planning. B)Tectonic plate movement does not cause environmental change. C)Tectonic plate movement does not affect organisms. D)Tectonic plate movement is a long-term environmental change.

Answers

Answer: I wanna say D because pangea was tectonic plates that moved and reshaped the earth

Explanation:

I hope that helps

Answer

D on edge

Explanation:

1. Describe potential long-term and short-term effects of exposure to chemicals.

Answers

Answer:

The answer to the question is explained below

Explanation:

A chemical is any substance or an element that can occur naturally or can be created artificially. Chemicals are found in many places like the soil, water, air. They can be found solely as an element without being combined with other elements, and they can also be found as a mixture in compounds.

Exposure to chemicals can be made possible through direct contact with the eye, broken skin. It can also be possible through Inhalation of gases, also through the mouth.

Long-term effects occur when an individual has been exposed to harmful chemicals over a long period of time, with the effect often fatal. Long-term exposure to chemicals include:

1. The weakening of the immune system

2. can cause cancer. For example, Carcinogens that cause cancer in humans, are gotten from exposures to Carbon Tetrachloride, Chloroform.

3. It can cause brain damage

4. It can lead to reproductive disorders

5. It can lead to eye damage, skin problems, and respiratory problems

Short-term effects occur when an individual has been exposed to harmful chemicals accidentally, or within a short period of time. As such, depending on the type of chemical, the amount the individual is exposed to, the effect is usually less fatal and can be addressed. Short-term exposure to chemicals include:

1. Skin or eye irritation

2. Headache

3. Nausea

4. Cough

5. Dizziness

6. Physical injuries

heterogeneous non example

Answers

Heterogeneous 'mixtures' (because they don't meet the definition  of mixtures) are mixtures substances that aren't completely uniformly spread out. They haven't reacted with the solvent to become a solution.

Explanation: There are 2 types of heterogeneous solutions, A Colloid and a suspension.

Colloid: You can check if a mixture is heterogeneous by passing a light ray through it. This may cause the Tyndall effect (If the mixture is a colloid) when the Colloidal Heterogeneous mixture's particles are so small that they refract the beam of light and the path of light will be visible, like if you add 3 drops of milk in a glass of Water and shine a laser light through it. This is because the particles are too small to be seen by the unaided eye but big enough to scatter you laser light. However that particles won't settle down or will be separated by a filter paper due to particles' small size.

Suspension: A solution will be a solution when the particles of the Mixture is big enough to be seen by the unaided eye. Like if you mix sand and Water, the sand will eventually settle down due to Gravity. The mixture's solute will be big enough to pass through a filter paper.

Which is one way that analyzing ice benefits scientists who study ancient climates? Scientists can analyze frozen volcanic dust to help predict eruptions. Scientists can drill deep into the ice to collect ice cores. Scientists can use pollen grains in ice to make inferences about the climate area. Scientists can study tree rings in ice to learn more about past climates.

Answers

Answer:

The correct option is;

Scientists can drill deep into the ice to collect ice cores which contain trapped atmospheric gases

Explanation:

The study of past climates also known as paleoclimatology, is accomplished by acquiring information from proxy data sources which are physical environment characteristics that are preserved through time to remake the conditions of past climate

Past physical environmental characteristics, from which information about ancient climate can be gained are stored in nature's climate variability records including, ice cores, rings in tree stems, fossil pollen, sediments found in the waters of the ocean

The proxy sources provide a means of understanding the conditions of ancient climate before advent of climate measurement.

Therefore, one way that analyzing ice benefits scientists who study ancient climates is that scientists can drill deep into the ice to collect ice cores which contain trapped atmospheric gases from past climates.

Answer: B: Scientists can study the layers of ice cores to gather information about past atmospheric composition.

Explanation: Got it right on a test!

Other Questions
El costo de pintar un muro se calcula con un tercio del doble del rea por el triple del numero de trabajadores. Si se planea pintar un muro de 1200m y se contrataran a 3 trabajadores. Cuanto se pagara? Sample data for the arrival delay times (in minutes) of airlines flights is given below. Determine whether they appear to be from a population with a normal distribution. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is roughly bell-shaped Click the icon to view the data set. Is the requirement of a normal distribution satisfied? A. No, because the histogram of the data is not bell shaped, there is more than one outlier, and line points in the normal quantile plot do not lie reasonably close to a straight line.B. Yes, because the histogram of the data is bell shaped, there are less than two outliers, and the line points in the normal quantile plot lie reasonably close to a straight line.C. Yes, because the histogram of the data is not bell shaped, there is more than one outlier, and line points in the normal quantile plot do not lie reasonably close to a straight line.D. No, because the histogram of the data is bell shaped, there are less than two outliers, and the the points in the normal quantile plot do not lie reasonably close to a straight Which sentence is part ofbuilding the context of thecontroversy in this samplepersuasive essayintroduction?A. American culture is obsessed withsports.B. [Schools] should rather become a truecenter of learning and education.C. As a society, we need to divorce schoolfrom sport permanently.D. No longer should our schools be thebreeding grounds for athletes...a In the Renaissance furniture decoration on wood entitled Architectural Perspective, by Francesco di Giorgio Martini, the pavement and buildings are portrayed using:______ which factor is most responsible for the fact that water is a liquid rather than a gas at room temperature What is a tension that runs throughout the entire story?0 A The tension within the narrator's family 0 B. The tension of gang violence 0 C. The tension of nature versus nurture 0 D. The tension of Democrats versus Republicans which inequality represents the statement? the number of new cars(C) a ship carries cant exceed 975.A. c975C. c)975 Social hierarchies dictated in Spanish and Portuguese colonies that migrants born in Europe were peninsulares and people born in the Americas of Iberian parents were called _______. I need help ASAP... Any kind soul please help me Subtract.5x2 - 5+1(2x2 +9x-6)-_________A. 3x2 - 4x+7B. 3x2 - 14x+7c. 3x2 + 4x - 5D. 3x2 + 14x-5 PLEASE HELP!!! A LOT OF POINTS AND BRAINLIEST TO CORRECT ANSWERS!!! 1. Find the area of the region enclosed by the graph of [tex]$x^2 + y^2 = 2x - 6y + 6$[/tex]. 2. The line [tex]x=4[/tex] is an axis of symmetry of the graph of [tex]$y = ax^2 + bx + c.$[/tex] Find [tex]$\frac{b}{a}$.[/tex]. 3. The graph of [tex]$y = ax^2 + bx + c$[/tex] is shown below. Find [tex]$a \cdot b \cdot c$[/tex]. (The distance between the grid lines is one unit, picture of graph attached.) 4. Geometrically speaking, a parabola is defined as the set of points that are the same distance from a given point and a given line. The point is called the focus of the parabola and the line is called the directrix of the parabola. Suppose [tex]$\mathcal{P}$[/tex] is a parabola with focus [tex]$(4,3)$[/tex] and directrix [tex]$y=1$[/tex]. The point [tex]$(8,6)$[/tex] is on [tex]$\mathcal{P}$[/tex] because [tex]$(8,6)$[/tex] is 5 units away from both the focus and the directrix. If we write the equation whose graph is [tex]$\mathcal{P}$[/tex] in the form [tex]$y=ax^2 + bx + c$[/tex], then what is [tex]$a+b+c$[/tex]? 5. (This is a Writing Problem - please please please explain and answer the question thoroughly!) A quadratic of the form [tex]$-2x^2 + bx + c$[/tex] has roots of [tex]$x = 3 + \sqrt{5}$[/tex] and [tex]$x = 3 - \sqrt{5}.$[/tex] The graph of [tex]$y = -2x^2 + bx + c$[/tex] is a parabola. Find the vertex of this parabola. If you do manage to answer every single one of these correctly, THANK YOU SO MUCH and please know you are very much appreciated! :) If the fixed costs are $450,000, the unit selling price is $75, and the unit variable costs are $50, what are the old and new break-even sales (units) if the unit selling price increases by $10 The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. The survey was given to 120 male students and 180 female students.How many students in the survey said that math was their favorite subject? express 3m24cm in kilometers,leaving your answer in standard form Over the past several decades, the difference between the labor-force participation rates of men and women in the U.S. has Group of answer choices gradually increased. remained constant. gradually decreased. been eliminated. What is the m ZACB?105090180 Read and choose the option that best answers the question. Cuando me arreglo para un evento especial me pinto las uas con el esmalte, uso la plancha de pelo especialmente para este da tan importante. Me maquillo brevemente con el maquillaje. No me pongo rmel en las pestaas, pero s me pongo bastante labial y sombra en los ojos. Tomo un poco de caf y me visto rpidamente. Ya estoy preparada para salir! Based on the text, what is the person's last step before leaving? Apply makeup Drink tea Fix the hair Put on clothes cube of -1/2 is equal to-----------. i need urgent please.I will mark brainest What were the effects of Vietnams rebellion against France? Check all that apply.A.The communist movement grew stronger in North Vietnam.B.Neighboring countries fell to democracy.C.US leaders worried that other countries would fall to communism.D.People worried that Vietnam would become communist. E.Ha Chi Minh lost control of the Vietnamese government. Which of the following tools helps a producer set up an efficient system ofproduction?O A. A determination of opportunity costs.O B. An electric-powered assembly line.O C. A production possibilities frontier graph.O D. A market research department.