when solid pellets of sodium hydroxide (naoh) dissolve in water, the temperature of the water can rise dramatically. taking naoh as the system, what can you deduce about the signs of the entropy change of the system (δssys) and surroundings (δssurr) from this?

Answers

Answer 1

ΔSsys  and ΔSsurr both have values larger than 0.

Entropy Change: What Is It?Entropy change is a phenomena that measures the evolution of randomness or disorder in a thermodynamic system.It has to do with how heat or enthalpy is converted during work. More unpredictability in a thermodynamic system indicates high entropy.Heat transport (delta Q) divided by temperature equals the change in entropy (delta S).What causes variations in entropy?When a substance is divided into several pieces, entropy rises. Because the solute particles are split apart when a solution is generated, the dissolving process increases entropy. As the temperature rises, entropy increases.

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Related Questions

Use the table of observed changes to answer the question. Change # Reacts with another substance? Temperature change? Gas, sound, or light produced? New substance formed? 1 yes yes yes yes 2 no yes yes no 3 yes yes yes yes 4 no no no no Which changes shown in the table are physical changes? (1 point) 1 and 4 1 and 4 2 and 3 2 and 3 1 and 2 1 and 2 2 and 4 2 and 4

Answers

Option 4- no, no, no, no. (for physical change.)

Chemical Change -A chemical change is the conversion of one substance into another, the development of new chemicals with unique features, or any combination of these.

There are five (simple) methods for identifying a reaction:

1. change of color

2. Gas formation

3. pH change

4. Temperature change

5. Precipitate formation

Physical change - A physical change happens when a substance's physical characteristics change without undergoing chemical composition. Common physical changes include melting, adjustments to size, volume, color, density, and crystal structure.

Therefore, according to the question physical changes are-

1. Reacts with another substance- no

2. Temperature change - no

3. Gas, sound, or light produced - no

4. New substance formed - no

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triaryl-1,3,5-triazinane-2,4,6-triones (isocyanurates) peripherally functionalized by donor groups: synthesis and study of their linear and nonlinear optical properties

Answers

the synthesis study of triaryl-1,3,5-triazinane-2,4,6-triones is functionalized by d6-transition metal acetylides complexes at their periphery .

triaryl-1,3,5-triazinane-2,4,6-triones (isocyanurates) peripherally functionalized by donor groups: The linear optical (LO) and nonlinear optical (NLO) properties of a series of isocyanurates functionalized by donor's arms at the periphery. These octupolar derivatives were obtained from commercial isocyanate derivatives several of these derivatives exhibit remarkable transparency or activity/ tradeoffs. In third‐order activity, the stronger donor groups (X=NH2, NMe2, or NPh2) with the longer derivatives possess effective two‐photon absorption cross sections displayed for the extended arylamino cyclotrimers. to rationalize their non linear properties and unravel their electronic structures DFT computations were also performed.

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An isotope has an atomic number of 36 and contains 44 neutrons. What is the isotope’s mass number?

Answers

the isotopes mass number is 36

Explanation:

because atomic number is also mass number

Work Right, Work Safe at School and at Home
A laboratory is any area where science investigation occurs. Even your kitchen can be considered as one. What laboratory tools or equipment can be substituted with kitchen-wares? Choose five tools found in the laboratory and give a kitchenware that can serve as a substitute for each.

Laboratory Tools Kitchen-wares Substitute
Name:
Drawing/Illustration:
Use:
Name:
Drawing/Illustration:
Use:
Name:
Drawing/Illustration:
Use:
Name:
Drawing/Illustration:
Use:
Name:
Drawing/Illustration:
Use:

QUESTIONS:
1. Why is it important to know the use of laboratory tools and equipment? Give at least two reasons.

2. Why must working safe be practice in the laboratory?

Answers

A. Hot Plate - Materials are heated using hot plates. A stove may readily take the place of this equipment.

B. Test Tube Holder - Kitchen tongs, which come in various sizes, can be utilized in the absence of test tube holders.

C. Beakers and flasks are used for both measuring liquids and combining various ingredients. At home, measuring cups and measuring spoons can take their place because they are wide or tall enough to be used for mixing and still have the ability to be used to measure the ingredients.

D. Stirring Rod - A stirring rod can be replaced by a variety of items. Chopsticks are an example because of their similar shape, as are spoons, ladles, and forks if the container allows them.

E. Funnel - Typically, the material used to make a kitchen funnel and a laboratory funnel is the sole distinction. Kitchen funnels are often made of plastic, whereas laboratory funnels are made of heat-resistant glass. Nevertheless, as long as it is not exposed to extremely high temperatures, it can still perform the duties of a standard laboratory funnel.

1. Before conducting any type of experiment, you should always be familiar with your lab's equipment because, without it, you won't know how to use your materials or how to fix a mistake you might make with it.

2. You may aid in preventing or eliminating hazards by being familiar with the laboratory you're working in and by constantly adhering to the correct safety protocols. Additionally, you'll be aware of what to do in the unfortunate case that something goes wrong.

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Determine the mass of barium carbonate containing 10% impurities if 6.72 liters of CO2 were formed when hydrochloric acid was added to it

Answers

The mass of barium carbonate containing 10% impurities if 6.72 liters of CO₂ were formed when hydrochloric acid was added to it is 65.78 g.

What is the mass of barium carbonate containing 10% impurities if 6.72 liters of CO₂ were formed when hydrochloric acid was added to it?

The mass of barium carbonate containing 10% impurities that produced 6.72 liters of CO₂ when hydrochloric acid was added to it is determined  from the equation of the reaction as follows:

Equation of the reaction: BaCO₃ + 2 HCl → BaCl₂ + H₂O + CO₂

Based on the equation of the reaction, 1 mole of  barium carbonate produces 1 mole of CO₂.

1 mole of CO₂ has a volume of 22.4 liters

6.72 liters of CO₂ = 6.72/22.4 moles

6.72 liters of CO₂ = 0.3 moles

Moles of BaCO₃ reacted = 0.3 moles

Molar mass of BaCO₃ = 197.34 g/mol

Mass of 0.3 moles of BaCO₃ = 0.3 * 197.34 g/mol

Mass of 0.3 moles of BaCO₃ = 59.2 g

Since the barium contains 90% pure BaCO₃ and 10% impurity,

Mass of barium carbonate reacted =  59.2 g/0.9

Mass of barium carbonate reacted = 65.78 g

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Why is it important to water your house plants?

Answers

So they can have nutrients from the water to keep it from not dying

Answer:

Plants need water to grow. Plants are about 80-95% water and need water for multiple reasons as they grow including for photosynthesis, for cooling, and to transport minerals and nutrients from the soil and into the plant.

Select the correct answer. what is tempera? a. pigment mixed with egg yolk as a binder. b. pure, undiluted pigment. c. pigment made from zinc and cobalt.

Answers

The correct answer is (A) pigment mixed with egg yolk as a binder.

A natural emulsion that is water-soluble, such as glue, honey, milk in the form of casein, or a variety of plant-based gums, can hold pigment in tempera, a painting media.

Using tempera, you can blend the essential colours as you go while creating the paint from scratch. Although it should be noted that some pigments require more binder than others and that the more egg added, the more transparent the resultant paint will be, mixes should begin with an equal volume of pigment and binder.

From the early 1500s, when oil paints started to gain popularity, tempera served as the main painting medium, it was employed for icon painting and painted panels in churches, and it is still utilised today.

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An electrically neutral atom of beryllium has four protons. Which statement is true? There are four protons in the nucleus. There is a charge of −4 on an atom of beryllium. There are four neutrons in the nucleus. There is a charge of +4 on an atom of beryllium.

Answers

Answer:

there are four protons in the nucleus

(b) .In an experiment, carbon (IV)oxide gas as passed over heated charcoal and the gas produced collected as shown in the diagram below Write an equation for the reaction that took place in the combustion tube (1mk)​

Answers

When carbon (IV)oxide gas is passed over heated charcoal ,the gas produced is Carbon Monoxide.

The oxidation state of carbon (II) oxide, often known as carbon monoxide, is +2. It is the suffocating gas created when gasoline in car engines burns inefficiently. Colorless, tasteless, odorless, and somewhat less dense than air, carbon monoxide is a gas. It is formed due to incomplete combustion of CO2. Carbon monoxide is much more threatening than CO2.

When carbon (IV)oxide gas is passed over heated charcoal ,the gas produced is Carbon Monoxide is Carbon (II) oxide is formed.

When coke or red-hot carbon is passed through carbon (IV) oxide, it is created.

The equation for the reaction is-

CO₂(g) + C(s)   →   2CO(g)

Hence, Carbon monoxide is formed when Carbon dioxide is passed over heated charcoal.

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Classify each of the following reactions as either exothermic or endothermic: 2H,O(l) + heat → 2H₂(g) + O₂(g)​

Answers

Answer:

endothermic

Explanation:

It is endothermic since it absorbs heat.  If the reaction RELEASED heat (exothermic) the "+ heat" would be on the right side of the equation.

Two or more substances in variable proportions where the composition is constant throughout are.

Answers

Answer:

homogenous mixture

Explanation:

no choices are given so that is my best guess

Which periodic trend is not explained by shielding and ENC?
O Atomic radius
O ENC does not explain any periodic trend
O ENC explains all periodic trends
O
Electronegativity

Answers

ENC explains all periodic trends

The electrostatic attraction between the positively charged nucleus and the negatively charged electrons holds electrons in an atom or ion. Due to electron shielding that exists between the electron of interest and the nucleus in multi-electron species, the electrons do not experience the full positive charge of the nucleus. The effective nuclear charge is the total positive charge that really affects an electron.

In order to comprehend periodic characteristics, it is crucial to understand the idea of effective nuclear charge (Z*). The portion of the total nuclear charge that an electron in an atom experiences is known as the effective nuclear charge. This is equal to the atomic number (Z) less the amount () by which other atoms' electrons protect the particular atom's nucleus.

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PLEASE HELP!! I need to know the answer to this but I'm overly exhausted and the question isn't making and sense...
An unknown element has three naturally occurring isotopes.

Below are their masses (amu) and % abundance

A) Calculate the weighted atomic mass unit for each isotope. Show % conversions and record the AMU for each isotope in the table below

B) What is the average (Total) atomic mass unit of the unknown element.

C) Identify this unknown element from the Periodic Table

Answers

An unknown element has three naturally occurring isotopes total average atomic mass 20.18 amu and element from the periodic table is neon

Isotopes are the members of a family of an element that all have the same number of protons but different numbers of neutrons

There are three neon isotopes and the more abundant ²⁰Ne and ²¹Ne are both essentially all primordial, as there is no significant global production of these isotopes and also ²²N

Neon 20 is made up of ten proton and ten neutron the atomic mass unit of the gas is 19.992 and the abundance of the gas is 90.48% and neon 21 is made up of ten proton and eleven neutron and the atomic mass unit of the gas is 20.994 and the abundance is 0.27% and neon 22 is made up of ten proton and twelve neutron and the atomic mass unit of the gas is 21.991 and the abundance of gas is 9.25%

Unknown element from the periodic table is neon

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Pls guy's.
state the periodic law. I need it now​

Answers

Explanation:

The Periodic Law states that the physical and chemical properties of the elements recur in a systematic and predictable way when the elements are arranged in order of increasing atomic number. Many of the properties recur at intervals. When the elements are arranged correctly, the trends in element properties become apparent and can be used to make predictions about unknown or unfamiliar elements, simply based on their placement on the table.

Answer:

The periodic law states that, "properties of the elements very periodically with their Relative Atomic Mass

Explanation:

Then the modern periodic law states that, "The chemical and physical properties of element are a periodic function of the atomic number"

Hope it helps

what is the simple unit factor that relates the number of hydrogens in sucrose to the number of oxygens?

Answers

The simple unit factor that relates the number of hydrogens in sucrose to the number of oxygens is:

2 moles hydrogen = 1 mole of oxgen

Formula of sucrose

The formula of sucrose is given as follow:

C₁₂H₂₂O₁₁

From the formula, we obtained the following

12 moles of carbon22 moles of hydrogen11 moles of oxygen

How to determine the unit that relates hydrogen and oxygen

1 mole of C₁₂H₂₂O₁₁ contains:

22 moles of hydrogen11 moles of oxygen

Thus, the unit factor that relates hydrogen and oxygen can be obtained as follow:

Hydrogen / Oxygen = 22 / 11

Hydrogen / Oxygen = 2 / 1

Thus,

2 moles hydrogen = 1 mole of oxgen

Thus, for every mole of oxygen, there are 2 moles of hydrogen

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Which example shows an organism that cannot reach homeostasis through internal changes?
Responses


A lizard is cold, and it moves to a sunny rock to warm up.

A dog shivers when it is too cold.


Circulation decreases in a bird when it becomes too warm.
.

A person gets a fever in response to a flu infection.

Answers

Circulation decreases in a bird

What happens when you add a proton to make lithium more positive. Do you get a lithium cation or do you get something else?

Answers

When you add a proton to make lithium more positive we get beryllium

When you add a proton to make lithium more positive and does't make lithium cation it make beryllium and isotope of beryllium that is an ion, as it has one less electron than the protons and the only factor that determines the identity of your element is the proton number when we added a proton in lithium then we get  beryllium and new atom would not actually be an atom if add one proton and when adding or removing protons from the nucleus changes the charge of the nucleus and changes that atom's atomic number

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when all quantum numbers are considered, how many different quantum states are there for a hydrogen atom with n

Answers

When all quantum numbers are considered, there are three (3) quantum states for hydrogen atoms.

The 3 quantum numbers of hydrogen is n, l and m.

n = principal quantum number, l = angular momentum quantum number,

m = angular momentum projection quantum number.

The hydrogen atom is simple and consists of a single negatively charged electron which moves around a proton which is positively charged. For hydrogen atom of specific energy, the number of states depends on the angular momentum. The total energy depends on the principal quantum.

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pls help!

EXPERIMENTAL QUESTION: How does the amount of substance affect the rate at which temperature changes?

HYPOTHESIS: If the mass of a sample of water is increased, then the rate at which its temperature changes will be ____________________.

increased
decreased

Answers

Answer:

I'm guessing you are asking for the word that will make the hypothesis correct. In that case, it would be:
"If the mass of a sample of water is increased, then the rate at which it's temperature changes will be decreased."

Explanation:

Mass and temperature have an inverse relationship, so when one of the values increase, the other decreases. On Study.com there is more on this subject. I will put a link for you :)

https://homework.study.com/explanation/how-does-the-amount-of-a-substance-affect-the-rate-at-which-temperature-changes.html#:~:text=For%20a%20given%20amount%20of,a%20smaller%20increase%20in%20temperature.

I hope this helps!

24. The density of silver at 20 °C is
10.5 g/cm³. What is the
volume of a 68-g bar of silver?

Answers

volume=6.5cm³

Explanation:

density= mass/ volume

volume= mass/ density

= 68/10.5

=6.5cm³

based on the law of multiple proportions, how many grams of hydrogen would you expect 2.19 g of nitrogen to combine with to yield ammonia?

Answers

We're going to use 0.34 grams of nitrogen to resolve this. This would have a molar mass of, uh, 28 2 grams if we converted these two moles. Wu will then combine this as well. One-mole play is also a thing. three of H 2's moles. Grams of hydrogen are what we need. We will learn the answer here. Hydrogen weighs two grams per mole. Each gram weighs 0.501 grams. That would thus stand in for this. 2.34 grams of nitrogen would need to react with 0.501 grams of hydrogen to produce ammonia. 241=2 moles of nitrogen and 243=6 moles of hydrogen will be converted into 4 moles of ammonia. Nitrogen has a molar mass of 28 g/mol and hydrogen has a molar mass of 2 g/mol.

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What is Electron gain Enthalpy?​

Answers

Answer:

Electron gain enthalpy is defined as the amount of energy released when an electron is added to an isolated gaseous atom. 

Calcium carbonate decomposes into calcium oxide and carbon dioxide. If 224 g of calcium carbonate decomposes, how many moles of carbon dioxide gas is produced?.

Answers

When 224 g of calcium carbonate(CaCO3) decomposes , 2.24 moles of carbon dioxide is produced.

When calcium carbonate decomposes in the presence of heat, it produces calcium oxide and carbon dioxide. This reaction is represented by the following equation:

CaCO3 ⇒ CaO + CO2

It is clear from the above equation that,

1 mole of CaCO3 produces 1 mole of CO2

Or 100 g of CaCO3 produces 1 mole of CO2

Thus, 224 g of CaCO3 produces 1/100 x 224 = 2.24 moles of CO2

Therefore, if 224 g of calcium carbonate(CaCO3) decomposes, 2.24 moles of carbon dioxide is produced.

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Which of these is true for a molecular model like the one shown ? A. We can always identify the type of each atom based on color. B. The model shows how the various atoms are connected in the molecule. C. The model shows the actual size of each atom correctly D. The model shows the relative sizes of the atoms to each other.

Answers

The true statement about the model is that the model shows how the various atoms are connected in the molecule.

What is a molecular model?

A molecular model is a representation of a molecule. We know that the molecular model shows the extent to which the atoms are bonded in the compound. The model gives us an idea of the intricate atom to atom arrangement that exists in the molecule that is under study.

Now we know that the atoms that are in the models must be shown by the use of different colors. This enables us to be able to effectively and properly distinguish between the atoms of the compound as shown in the model.

The true statement about the model is that the model shows how the various atoms are connected in the molecule.

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When methanol, ch3oh, is burned in the presence of oxygen gas, o2, a large amount of heat energy is released. For this reason, it is often used as a fuel in high performance racing cars. The combustion of methanol has the balanced, thermochemical equation.

Answers

To produce 807 kJ of heat, 33.85g of methanol ([tex]CH_3OH[/tex]) must be burned.

When -764.0 kJ of heat is involved, 1 mol of methanol, [tex]CH_3OH[/tex] is reacting

Therefore, mol of [tex]CH_3OH[/tex] for -8.07 x [tex]10^2[/tex] kJ:

= -8.07 x [tex]10^2[/tex] x 1/-764.0 kJ

= 1.056 mol

Molar mass of methanol ([tex]CH_3OH[/tex]),

MM = 1 x MM(C) + 4 x MM(H) + 1 x MM(O)

= 1 x 12.01 + 4 x 1.008 + 1 x 16.0

= 32.042 g/mol

mass of methanol ([tex]CH_3OH[/tex]) used:

Mass, m = number of mol x molar mass

= 1.056 mol x 32.04 g/mol

= 33.85 g

Hence, 33.85g of methanol ([tex]CH_3OH[/tex]) must be burned to produce 807kJ of heat.

The complete question is:

When methanol, [tex]CH_3OH[/tex], is burned in the presence of oxygen gas, [tex]O_2[/tex], a large amount of heat energy is released. For this reason, it is often used as a fuel in high performance racing cars. The combustion of methanol has the balanced, thermochemical equation

[tex]CH_3OH (g) + 32O_2 (g) \rightarrow CO_2 (g) + 2H_2O (l)[/tex]  Δ= −764 kJ

How much methanol, in grams, must be burned to produce 807 kJ of heat?

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2. in nature the element neon exists as three different isotopes, ne-20, ne-21, and ne-22. which neon isotope predominates? explain your choice.

Answers

The three isotopes of Neon, Ne-20, Ne-21, and Ne-22 are said to have an atomic number. Neon - 20 with a mass of 19.99 amu predominate all other isotopes.

What are isotopes?

Isotopes as been defined as atoms of the same element with different atomic masses but the same atomic number as the number of neutrons differs in the atoms. The neon element has three isotopes, Ne-20, Ne-21, and Ne-22.

Ne - 20 is the most predominant isotope of the Neon element as it most abundant and stable isotope with an abundance of 90.48% followed by Ne-22 (9.25%), and Ne-21 (0.27%).

Therefore, Ne-20 is a predominant isotope of Neon.

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Some lipid rafts are characterized by an accumulation of cholesterol. What does this mean for the fluidity of the lipid raft?.

Answers

The lipid rafts are less fluid than the surrounding membrane at normal temperatures.

Cholesterol decreases the fluidity of the membrane at normal temperatures.

Lipid rafts regulate neurotransmission, receptor traffickinging and influence membrane fluidity.

Membrane fluidity refers to the viscosity of the lipid bilayer.

Cholesterol in the rafts has a potential to effectively control the ion conductance and excitability of membranes.

For example, in phospholipid layer in cell membrane, there are hydrophilic heads (polar part of the layer) and hydrophobic tails (nonpolar part of the layer).

1) Small, non-polar molecules diffuse easily through this layer, no energy is required, this is passive transport.

2) Polar molecules cannot diffuse through phospholipid layer using passive transport, because hydrophobic tails does not allow that (polar molecules are reppeled), energy is required for that, this is active transport.

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for the measurements 0.123 m, which digits is the estimated digit?​

Answers

Answer:

aaaaaaaaaaaaa

Explanation:

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Transferring small quantities of liquid solutions from one container into another

Answers

Using Pasteur Pipettes (or pipets) are the most commonly used tool for transferring small volumes of liquids (< 5mL) from one container to another.

What is Pasteur Pipettes?

A pipette, also called pipett, is a lab instrument frequently used in the fields of chemistry, biology, and medicine to transfer a predetermined volume of liquid, frequently as a media dispenser. Pipettes are available in a variety of styles with varying degrees of accuracy and precision, ranging from simple single-piece glass pipettes to more intricate adjustable or electronic pipettes. In order to draw liquid up and out of a pipette, a partial vacuum is often created above the liquid-holding chamber and then selectively released. Depending on the instrument, measurement accuracy varies substantially.

Although each form of pipette has particular descriptive titles, in practice any sort of pipette will only be referred to as a "pipette," and the required device will be clear from the context. Occasionally, pipettes that dispense.

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A pictorial representation of an electron configuration is shown give the full electron configuration do not use a noble gas abbreviation.
1s, 2s, 2p, 3s, 3p, 4s, 3d, 4p
what is the electron configuration?

Name the element, assuming that the configuration describes a neutral atom.

Answers

The electron configuration is 1s², 2s², 2p⁶, 3s²,3p⁶, 4s², 3d¹⁰, 4p⁵ i.e. 35 that is bromine.

What is electronic configuration?

Electronic configuration is defined as the arrangement of electrons around the nucleus of a particular atom or molecule.

An atom is made up of particles like protons, neutrons and electrons.

A neutral atom are the atoms with same number of protons and electrons.

Electronic configuration of an atom is defined as distribution of electrons in atoms shells and sub shells.

Bromine is element with symbol Br and atomic number 35. It is a oily liquid with a sharp smell, it is toxic in nature.

The neutral atom of bromine has 35 electrons as the neutral atom has same number of electrons and protons.

Thus, the electron configuration is1s², 2s², 2p⁶, 3s²,3p⁶, 4s², 3d¹⁰, 4p⁵, i.e. 35 that is bromine.

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durham parts (dp) makes a variety of products. it is organized in two divisions, eastern and western. the managers for each division are paid, in part, based on the financial performance of their divisions. the western division normally sells to outside customers but, on occasion, also sells to the eastern division. when it does, corporate policy states that the price must be cost plus 25 percent to ensure a "fair" return to the selling division. western received an order from eastern for 1,200 units. westerns planned output for the year had been 4,800 units before easterns order. westerns capacity is 6,000 units per year. the costs for producing those 4,800 units follow. Write a simplified expression for the area of the rectangle below. I need help of what is the big idea and detail that supports it there are two types of waves: electromagnetic and mechanical. can either type travel regardless of the presence of a medium? whats the transformation How do you evaluate a function? 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Test each number with substitution to see which one is the correct solution for the equation.Is -0.5, 0.5 or 4.5 the correct solution for the equation -6x+15=-12 9x-9y-0-3x+3y=0elimination process Question 3:Choose the sentence that is punctuated correctly.Did the mail come on Monday, February 10?Did the mail come on Monday February 10?Did the mail come on Monday, February, 10?Did the mail come on Monday February, 10? Read the following passage from Anne of Green Gables by Lucy Maud Montgomery. Answer the question that follows the text."Oh, you can talk as much as you like. I don't mind.""Oh, I'm so glad. I know you and I are going to get along together fine. It's such a relief to talk when one wants to and not be told that children should be seen and not heard. I've had that said to me a million times if I have once. And people laugh at me because I use big words. But if you have big ideas you have to use big words to express them, haven't you?""Well now, that seems reasonable," said Matthew."Mrs. Spencer said that my tongue must be hung in the middle. But it isn'tit's firmly fastened at one end. Mrs. Spencer said your place was named Green Gables. I asked her all about it. And she said there were trees all around it. I was gladder than ever. I just love trees. And there weren't any at all about the asylum, only a few poor weeny-teeny things out in front with little whitewashed cagey things about them. They just looked like orphans themselves, those trees did. It used to make me want to cry to look at them. I used to say to them, 'Oh, you POOR little things! If you were out in a great big woods with other trees all around you and little mosses and Junebells growing over your roots and a brook not far away and birds singing in you branches, you could grow, couldn't you? But you can't where you are. I know just exactly how you feel, little trees.' I felt sorry to leave them behind this morning. You do get so attached to things like that, don't you? Is there a brook anywhere near Green Gables? I forgot to ask Mrs. Spencer that.""Well now, yes, there's one right below the house.""Fancy. It's always been one of my dreams to live near a brook. I never expected I would, though. Dreams don't often come true, do they? Wouldn't it be nice if they did? But just now I feel pretty nearly perfectly happy. I can't feel exactly perfectly happy becausewell, what color would you call this?"She twitched one of her long glossy braids over her thin shoulder and held it up before Matthew's eyes. Matthew was not used to deciding on the tints of ladies' tresses, but in this case there couldn't be much doubt."It's red, ain't it?" he said.The girl let the braid drop back with a sigh that seemed to come from her very toes and to exhale forth all the sorrows of the ages."Yes, it's red," she said resignedly. "Now you see why I can't be perfectly happy. Nobody could who has red hair. I don't mind the other things so muchthe freckles and the green eyes and my skinniness. I can imagine them away. I can imagine that I have a beautiful rose-leaf complexion and lovely starry violet eyes. But I CANNOT imagine that red hair away. I do my best. I think to myself, 'Now my hair is a glorious black, black as the raven's wing.' But all the time I KNOW it is just plain red and it breaks my heart. It will be my lifelong sorrow. I read of a girl once in a novel who had a lifelong sorrow but it wasn't red hair. Her hair was pure gold rippling back from her alabaster brow. What is an alabaster brow? I never could find out. Can you tell me?""Well now, I'm afraid I can't," said Matthew, who was getting a little dizzy. He felt as he had once felt in his rash youth when another boy had enticed him on the merry-go-round at a picnic."Well, whatever it was it must have been something nice because she was divinely beautiful. Have you ever imagined what it must feel like to be divinely beautiful?""Well now, no, I haven't," confessed Matthew ingenuously."I have, often. Which would you rather be if you had the choice-divinely beautiful or dazzlingly clever or angelically good?""Well now, I-I don't know exactly.""Neither do I. I can never decide. But it doesn't make much real difference for it isn't likely I'll ever be either."In a minimum of one paragraph, explain what you learn about these characters from this interaction. Use details from the passage to support your response.