How would you prepare 750 mL of a 10 fold dilution of a 17 M solution of acetic acid? How would you prepare 200 mL of a 20 fold dilution of a 17 M solution of acetic acid?

Answers

Answer 1

A) The volume of 75 ml of 17 M solutions of acetic acid is required.

B)  The volume of 10 ml of 17 M solution of acetic acid is required.

What is the dilution factor?

After dilution, the dilution factor indicates how much of the original stock solution remains in the whole solution. The dilution factor is usually expressed as a ratio, although it can also be represented as an exponent.

The stock solution to the part of the dilutant added or the part of the stock solution to the part of the total solution can be described by the dilution factor, which can be represented as a ratio or an exponent.

The mathematical formula can be used to calculate the volume of stock solution as:

[tex]{\displaystyle \frac{V_{diluted}}{V_{stock}} = Dilution \; \;factor[/tex]

Given the volume of the diluted solution = 750 ml

The dilution factor = 10

From the above formula: 750/V (stock) = 10

V (stock) = 750/10

V (stock) = 75 ml

Given the volume of the diluted solution = 200 ml

The dilution factor = 20

From the above formula: 200/V (stock) = 20

V (stock) = 200/20

V (stock) = 10 ml

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Related Questions

Elements that are chemically similar to calcium (Ca) can interfere with bodily functions. Which of the following elements could react similar to calcium’s role in bodily functions?

Answers

Elements that are chemically similar to calcium (Ca) can interfere with bodily functions are Beryllium and magnesium.

What is calcium ?

The chemical element calcium has the atomic number 20 and the letter Ca as its symbol. Calcium is an alkaline earth metal that reacts with air to create a black oxide-nitride coating. Its heavier homologues barium and strontium are most similar to it in terms of physical and chemical characteristics.

Calcium reacts when heated with boron, carbon, sulfur, phosphorus, halogens, and hydrogen. Calcium is more expensive and less reactive than sodium, despite being a better reducing agent than the latter.

Thus, Elements that are chemically similar to calcium (Ca) can interfere with bodily functions are Beryllium and magnesium.

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4. Which of the following properties of fluorine is a physical property?
A.Fluorine gas is flammable.
B.All metals corrode in the presence of fluorine.
C.Fluorine gas is poisonous.
D.The liquid phase of fluorine is pale yellow.

Answers

Answer:

A

Explanation:

Fluorine is a REACTIVE nonflammable gas or liquid which will enhance combustion of other materials.

what is the name of ch3cooc2h5​

Answers

Answer:

ethyl ethanoate

Explanation:

it helps you

Ethyl acetate is the name

Complete the table. Then explain how wavelength and frequency are mathematically related.

Answers

The wavelength is same.

What is wavelength?

Wavelength can be defined as the distance between two successive by throughs of a wave.

The question wants you to determine the energy that is the incoming photon by the  must have in order to the accept the electron that melted  it tob the jump to 2 to 1.

A good starting point here will be to calculate the energy of to the photon emitted when the electron falls from  1 to 2

by applying the Rydberg equation.

1/π = R

λ

 si the wavelength of the emittted photon R

 is the Rydberg constant, equal to 1.907.

This means that you haveλ=

4.10

So, you know that when an electron falls from the

to  

a photon of wavelength by the

410 nm

 is emitted. This implies by  that in order to the for the electron by jump to  the 2 to 1 .

 it must absorb a photon of the same wavelength.

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If the density of an ideal gas at STP is found to be 0.716 g/L, what is its molar mass?

Answers

Answer:

GL

Explanation:

Use the bond energies in the table to estimate the enthalpy of reaction for the formation of sulfur tetrafluoride monoxide.

Answers

The enthalpy of reaction for the formation of sulfur tetrafluoride monoxide is 16 kJ/mol.

What is the enthalpy of a reaction?

The enthalpy of a reaction measures the sum total of the heat that is absorbed or liberated in a given reaction when reactants react to form products.

The enthalpy change of a reaction can be calculated using the formula given below:

Enthalpy of reaction = sum of bond energies of the products  - sum of bond energies of the reactants

The equation of the given reaction is as follows:

SF₄ + ¹/₂ O₂-----> SF₄O

Enthalpy of reaction = (4 * S-F + S-O) - (4 * S-F + ¹/₂ * O-O)

Enthalpy of reaction = (4 * 310 + 265) -  (4 * 310 + /₂ * 498)

Enthalpy of reaction = 16 kJ/mol

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a student is performing experiments on a particular substance. which statement is a observation of a chemical property of the substance?

Answers

Answer:

a

Explanation:

bc i think it is and pls i wany to have ajebehhe

Answer:

if it burns

Explanation:

between ethane, ethene and ethyne which is having shortest bond?​

Answers

As you can see the picture, in the three given compounds i.e. ethane, ethene and ethyne, ethyne have shortest bond. Bond length of ethyne is very short when compared to the ethane and ethene. Shorter the bond, bond strength will be more. Hence, our answer is ethyne.

Answer:

ethyne has shortest bond

Which of the following is NOT a group of elements on the Periodic Table?
Noble Gases
Alkaline Earth Metals
Alkali Gases
Transition Metals

Answers

Answer:

Alkali gases

Explanation:

Noble gases - Group 18

Alkaline Earth Metals - Group 2

Transition metals - Group 3 - 12

Alkali gases do not exist on the periodic table

Calculate the standard enthalpy change for the reaction

2A+B⇌2C+2D 

Use the following data:

Substance ΔH∘f
( kJ/mol)
A -231
B -409
C 177
D -515
Express your answer to three significant figures and include the appropriate units.

Answers

The standard enthalpy change for the reaction 2A + B ⇌ 2C + 2D   is 195 kJ/mol.

What is the enthalpy of a reaction?

The enthalpy of a reaction is a measure of the heat changes that occur when reactants form a product in a given reaction.

The enthalpy change of a reaction can be calculated using the formula given below:

Enthalpy of reaction = sum of enthalpies of the products  - sum of enthalpies of the reactants

Considering the given reaction: 2A + B ⇌ 2C + 2D  

Enthalpy of reaction = (2 * C + 2 * D) - (2 * A + B)

Enthalpy of reaction = {[2 * 177 + 2 * (-515)] - [2 * (-231) + (-409)]}

Enthalpy of reaction = 195 kJ/mol

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How many grams of hydrogen gas (don't forget it's diatomic) can be produced when 5.45 g of iron reacts with excess HCI? 2Fe(s) + 6HCl(aq) --> 2FeCl3(aq) + 3H2 (g)

Answers

Answer: 0.295g

Explanation: The answer is 0.295g. Normally you would start by checking which of your reactants is the limiting reactant, but since you have excess HCl, you don't need to worry about that. Start by converting grams of iron to moles (done by dividing grams by iron's molar mass).

Next, you convert moles Fe to moles H2 by checking the coefficients in front of Iron and H2. Divide by iron's coefficient and multiply by H2's

Finally, you multiply by the molar mass of H2. To find it, multiply the molar mass of hydrogen by 2.

Easy way to read it:
5.45/44.845 x 3/2 x 2(1.008) = 0.295

Omar wants to determine if the mass of a model rocket affects how long the rocket is able to stay up in the air. To do this, he constructs three identical rockets and then fills two of the rockets with varying amounts of sand to add mass. He then launches the rockets one at a time and times how long they are able to stay airborne.

What is the test variable (independent variable) in Omar's experiment?
A.
the materials out of which the rockets were made
B.
the time the rockets remain airborne
C.
the force with which each rocket is launched
D.
the masses of the model rockets

Answers

The test variable (independent variable) in Omar's experiment is the masses of the model rockets; option D.

What are the variables in an experiment?

Variables in an experiment refer to those measurements or factors that are under the control of the researcher and which can be altered by the researcher in order to study the effect of changes on the study.

The three types of variables in a study are:

Independent variables Dependent variables Control variables or Constant variables

In the study conducted by Omar, the test variable (independent variable) is the time of rocket stays up in the air.

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A 1.0 mL sample of seawater is determined to contain 2.5 × 10–14 moles of dissolved gold.
What is the volume of the sample in milliliters?
How many moles of gold are dissolved in 1.0 mL of seawater?
What is the relationship (equality) between moles of a substance and the number of particles in that substance?

Answers

46.6 is the vol, 3 moles, they are the same (same number of particles and they are constant throughout the homogenous mixture

The volume of the sample in milliliters is 1.0 ml and number of moles of gold dissolved in 1 ml of sea water is 2.5×10[tex]^-14[/tex] moles  which is mentioned in the question and 1 mole of substance has 6.023×10²³ particles.

What is a mole?

Mole is defined as the unit of amount of substance . It is the quantity measure of amount of substance of how many elementary particles are present in a given substance.

It is defined as exactly 6.022×10²³ elementary entities. The elementary entity can be a molecule, atom ion depending on the type of substance. Amount of elementary entities in a mole is called as Avogadro's number.

It is widely used in chemistry as a suitable way for expressing amounts of reactants and products.For the practical purposes, mass of one mole of compound in grams is approximately equal to mass of one molecule of compound measured in Daltons. Molar mass has units of gram per mole . In case of molecules, where molar mass  in grams present in one mole  of atoms is its atomic mass.

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When heated, calcium carbonate, CaCO3(s) , decomposes to calcium oxide, CaO(s) , and carbon dioxide, CO2 . Using relevant data from your book's appendices, calculate the heat evolved or consumed when 15.0 g of calcium carbonate are decomposed. answer: kJ

Answers

As per the standard data, the heat evolved during one mole of calcium carbonate decomposes is 177.8 KJ. Thus 15 g or 0.15 moles of calcium carbonate when decomposed will produce 26.67 KJ of heat.

What is reaction enthalpy?

Reaction enthalpy of a substance is the heat evolved or absorbed during a reaction. Reaction enthalpy is negative for an exothermic reaction and positive for an endothermic reaction.

Molar mass of calcium carbonate = 100 g.

no.of moles in 15 g = 15 /100 = 0.15 moles.

One mole or 100 g of calcium carbonate decompose to evolve 177.8 KJ according to the scientific record.

Thus, heat evolved by the decomposition of 0.15 moles is 0.15 × 177.8 KJ = 26.67 KJ.

Hence, the heat evolved during the decomposition of 15 g of calcium carbonate is 26.67 KJ.

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Suppose you are standardizing a sodium hydroxide solution with KHP

(molar mass=204.2 g/mol) according to the equation

KHP+NaOH⟶H2O+NaKP

You prepare the standard solution from 0.303 g of KHP
in 250.0 mL of water. You then require 9.51 mL of NaOH

solution to complete the titration.

What is the concentration of the NaOH
solution?

Answers

Answer:

Suppose you are standardizing a sodium hydroxide solution with KHP

(molar mass=204.2 g/mol) according to the equation

KHP+NaOH⟶H2O+NaKP

You prepare the standard solution from 0.303 g of KHP

in 250.0 mL of water. You then require 9.51 mL of NaOH

solution to complete the titration.

What is the concentration of the NaOH

solution?

Answer:

The concentration of the NaOH solution can be calculated using the following equation:

Concentration (M) = (Moles of KHP/Volume of NaOH solution) x (Molar mass of KHP/1000)

Concentration (M) = (0.303 g/9.51 mL) x (204.2 g/mol/1000)

Concentration (M) = 0.064 M

What is the pH of an aqueous solution with a hydrogen ion concentration of [H+]=7.7×10−4 M?

Answers

Answer:

What is the pH of an aqueous solution with a hydrogen ion concentration of [H+]=7.7×10−4 M?

The pH of an aqueous solution with a hydrogen ion concentration of [H+]=7.7×10−4 M is 3.11.

Consider these questions about living with nuclear power, and then answer them.

1. Would you live near a nuclear power plant? Explain your response.
2. What kinds of jobs are available at a nuclear power plant?
3. Identify the benefits and risks to someone who is working at a nuclear power plant.
4. How does the presence of a nuclear power plant impact the economy of local communities and the lives of people living nearby?
5. What do you think are some reactions of individuals within the communities that are close to nuclear power plants? Explain why you think they might have these reactions.

Answers

Answer:

Explanation:

1. No, I simply would not feel safe.

2. Power plant manager

3. exposure to chemicals

A 50.0 g sample of an unknown

compound contains 14.19 g Na,

19.76 g O, and 16.05 g Cr. What is

the percent composition of O in the

compound?


[?]% O


Round your answer to the hundredths place.

Answers

The percentage composition of oxygen (O) in the compound, given that it contains 19.76 g of O is 39.52%

How do I determine the percentage composition of O?

The percentage composition of substance in a compound can be obtained by using the following formula:

Percentage = (mass of substance / mass of compound) × 100

Using the above formula, we can determine the percentage composition of the oxygen (O) as illustrated below:

Mass of compound = 50.0 gramsMass of O = 19.76 gramsPercentage composition of O =?

Percentage = (mass of solute / mass of solution) × 100

Percentage of O = (19.76 / 50.0) × 100

Percentage of O = 39.52%

Thus, we can conclude that the percentage composition of the O is 39.52%

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Use Lewis structures to determine which two of the following are unstable: (a) SF2; (b) SF3; (c) SF4; (d) SF5; (e) SF6.

Answers

According to the Lewis structures, SF₂ is unstable as it has 2 lone pairs of electrons.

What are Lewis structures?

Lewis  structures are also called as electron dot structures and can be drawn if the molecular formula of a compound is known. It provides information regarding the nature of bond and the position of atoms .

They are also capable of exhibiting the lone pair if any present in a molecule or compound.Lewis defined a base to be an electron pair donor and an acid to be an electron pair acceptor.

They are capable of reflecting electronic structure of elements and even the pairing of electrons . In the diagram, each dot represents an electron while a pair of dots represent a bond between the atoms.

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According to molecular orbital theory, which species in the following list are paramagnetic: H2+, C22–, and N22–?

A. H2+ and N22-
B. H2+, C22-, and N22-
C. H2+ and C22-
D. C22-, and N22-
E. H2+ only

Answers

D. Is the correct answer I believe

Calculate the kinetic energy of a 150 g baseball moving at a speed of 36. m/s (81 mph).

Answers

Answer:

KE=1\2mv2

KE=0.5 *0.15*(36)2

97.2j

In a double bond, two pairs of electrons are shared between two atoms. Based on this information, draw the hydrogen atoms such that each carbon atom has four bonds. Then record the number of hydrogen atoms you drew using a text box.

Answers

Answer:

I got it right on Pluto

Explanation:

You are pretty much just taking away 2 of the hydrogen

How many Grams of ribose (a carbohydrate) must be added to
200 mL of water to prepare a O.IM ribose solution?

Answers

Answer:

3 grams C₅H₁₀O₅

Explanation:

To find the mass of ribose needed to prepare the sample, you need to

(1) convert the volume from mL to L (1,000 mL = 1 L)

(2) calculate the number of moles (M = moles / L)

(3) convert moles to grams (using the molar mass of ribose)

The molecular formula of ribose is C₅H₁₀O₅. It is important to arrange all of the ratios/conversions in a way that allows for the cancellation of units.

(Step 1)

 200 mL C₅H₁₀O₅                   1 L
----------------------------  x  ----------------------  =  0.2 L C₅H₁₀O₅
                                           1,000 mL

(Step 2)

Molarity (M) = moles / volume (L)                 <----- Molarity ratio

0.1 M = moles / 0.2 L                                     <----- Insert values

0.02 = moles                                                  <----- Multiply both sides by 0.2 L

(Step 3)

Atomic Mass (C): 12.011 g/mol

Atomic Mass (H): 1.008 g/mol

Atomic Mass (O): 15.999 g/mol

Molar Mass (C₅H₁₀O₅): 5(12.011 g/mol) + 10(1.008 g/mol) + 5(15.999 g/mol) = 150.13 g/mol

 0.02 moles C₅H₁₀O₅              150.13 g
----------------------------------  x  -------------------  =  3 grams C₅H₁₀O₅
                                                  1 mole

Jade wanted to test the effect of ice on the weathering of rocks. She filled two containers with gypsum and placed a water balloon in one of the containers. She put both containers in a freezer for few hours and cut open the containers. She found out that the gypsum block with the water balloon cracked while the other block did not. How is this similar to the weathering of rocks by ice?

two blocks of gypsum, one has a water balloon in it and is cracked

The gypsum block cracks, just like rocks when the temperature increases.
The water balloon pops, causing the water to flow just like rain flows over rocks.
The water contracts as it freezes, just like the water seeps into the cracks of rocks.
The water in the balloon freezes and expands, just like the water in the cracks of rocks.

Answers

She found out that the gypsum block with the water balloon cracked while the other block did not.The water in the balloon freezes and expands, just like the water in the cracks of rocks - is this similar to the weathering of rocks by ice.

What is gypsum?

Gypsum is a soft sulfate mineral that is made up of calcium sulfate dihydrate and has the chemical formula CaSO₄ . 2H₂O. It is extensively mined, and used as fertilizer, the primary ingredient in many types of plaster, sidewalk or blackboard chalk, and drywall, and it is also widely utilized as a building material.

In nature, water flows from small rivers and occasionally through fissures in the rocks or terrain, and when it freezes, it puts too much pressure on the rock, causing it to split. The similarity in Jades' test is that the water balloon has water when it is placed in the gypsum, and when she adds a cold environment, the ice within the water balloon freezes and expands, putting too much pressure on the rock, causing it to shatter.

Ice Wedging is a example of this.

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A gas occupying 50.0 ml volume in a confined space at 20.0 dc at 50.0 kpa is heated to 40.0 dc. What is the pressure exerted by the gas in the container?

Answers

Answer:The pressure exerted by the gas is 100kPa

Explanation:Let's apply the Charles Gay Lussac law, to solve the question.

At constant volume, the pressure varies proportionally with the temperature.

P initial / T° initial = P final / T° final

50kPa / 20°C = P final / 40°C

Temperature has increased the double, so the pressure will be increased, the double too.

100 kPa

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Given 5.0 x 1024 K2SO4 formula units, how many moles are present?

Answers

Answer:

[tex] \huge{ \bold{ \text{8.31 moles}}}[/tex]

Explanation:

To find the number of moles in a substance given it's number of entities we use the formula

[tex] \bold{n= \frac{N}{L}}\\ [/tex]

where n is the number of moles

N is the number of entities

L is the Avogadro's constant which is

6.02 × 10²³ entities

From the question

N = 5.0 × 10²⁴ [tex] K_2SO_4 \: \text{formula units} [/tex]

[tex] \: n = \frac{5 \times {10}^{24} }{6.02 \times {10}^{23} } \\ = 8.3056[/tex]

We have the final answer as

8.31 moles

(e) What type of reaction takes place when zinc reacts with copper oxide? Tick one box. Combustion
Crystallisation
Displacement
Neutralisation oxide​

Answers

To solve such this we must know the concept of displacement reaction. Therefore, the correct option is option C that is displacement reaction.

What is chemical reaction?

Chemical reaction is a process in which two or more than two molecules collide in right orientation and energy to form a new chemical compound. The mass of the overall reaction should be conserved. There are so many types of chemical reaction reaction like combination reaction, double displacement reaction.

when zinc reacts with copper oxide then zinc displace copper from copper oxide as zinc is more reactive than copper on the reactivity series. So, copper is displaced by zinc.

Therefore, the correct option is option C that is displacement reaction.

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A gas mixture was prepared to contain 50% by mass of O, and Ne. When the total pressure of the mixture is 1.50 atm, what is the partial pressure of O₂?​

Answers

The partial pressure of oxygen is the product of its mole fraction and the total pressure. Partial pressure of O₂ here, is 0.82 atm.

What is partial pressure?

Partial pressure of an individual gas in a mixture of gases is its contribution to the total pressure of the gas mixture. According to Dalton's law of partial pressures, the total pressure of the mixture is the sum of partial pressures of the individual gases.

The partial pressure of the individual gases will be the product of the mole fraction and total pressure.

mass of oxygen = 16 g/mol

number of moles in 50 g = 50 /16 = 3.125 moles.

mass of neon = 20 g/mol

moles in 50 g =  50 / 20 = 2.5 moles.

Mole fraction of oxygen =  3.125/ (3.125 + 2.5) = 0.55.

Partial pressure = mole fraction × total pressure

                           = 0.55 × 1.50 atm = 0.82 atm.

Therefore, the partial pressure of O₂ in the mixture is 0.82 atm.

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How many moles of lithium metal react to yield 5.00 mol of hydrogen
gas?
_Li(s) + H₂O(0)→ _LiOH(aq) + _H₂(g)
O none of the above
O 20.0 mol
O 2.50 mol
O 10.0 mol
O 5.00 mol

Answers

According to stoichiometry and balanced chemical equation  10 moles of lithium metal react to yield 5.00 mole of hydrogen gas.

What is stoichiometry?

Stoichiometry is the determination of proportions of elements or compounds in a chemical reaction. The related relations are based on law of conservation of mass and law of combining weights and volumes.

Stoichiometry is used in quantitative analysis for measuring concentrations of substances present in the sample.

In the  balanced chemical equation as 2 moles of lithium produce 1 mole of hydrogen.

∴for 5 moles of hydrogen to be liberated,5×2/1=10 moles of lithium are required.

Thus, 10 moles of lithium are required to react to yield 5 moles of hydrogen gas.

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How much oxygen (O) is in 5.07x10^6 atoms of oxygen?

Answers

Mole measure the number of elementary entities of a given substance that are present in a given sample. Therefore, there are 8.41×10⁻¹⁸moles of oxygen in 5.07x10⁶atoms of oxygen.

What is mole?

The SI unit of amount of substance in chemistry is mole. The mole is used to measure the quantity of amount of substance.

Given number of atoms= 5.07x10⁶atoms

we know one mole of any element contains 6.022×10²³ atoms which is also called Avogadro number.

mole =given number of atoms ÷ 6.022×10²³(Avogadro number)

Substituting the values

mole of oxygen=5.07x10⁶÷ 6.022×10²³

mole of oxygen =8.41×10⁻¹⁸

Therefore, there are 8.41×10⁻¹⁸moles of oxygen in 5.07x10⁶atoms of oxygen.

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In the short-run, if P < ATC, a perfectly competitive firm should increase production to the output level at which P = ATC. continue producing at a loss. shut down. continue producing at a profit. There is not enough information to answer the question. Linear Equations w/ Distribution 2(5y1)=28 draw the product formed when the following alkene is treated with either [1] hbr alone and [2] hbr in the presence of peroxides.' Graph the function (fx) = 2 + 3 on the coordinate plane Answer in 5 sentences. Most historians agree that there are 8 aspects of a civilization, JohnGreen questions if that is necessarily true. Why might some groups of people or nations nothave these qualities but still be considered a civilization? Select the reason why these triangles are similar. If they are not, select "Not similar."Numbers selected in the triangle 2.5, 2.25,0.5,2,1, and 1Answer choices: A. AA, B. Not similar, C. SAS, D. SSS at 25 c, only 0.0220 mol of the generic salt ab3 is soluble in 1.00 l of water.what is the Ksp of the salt at 25 c?ab3(s)a3 (aq) 3b(aq) When the allowance method of recognizing bad debt expense is used, the entries at the time of collection of an account previously written off would?a.) Increase net incomeb.) Decrease total current liabilitiesc.) Have no effect on total current assetsd.) Increase working capital you're ordered to attempt to memorize a series of images. there are 15 images in the series. when you are asked to state the order of the images you remember the first 3 and then it starts to get fuzzy. this is an example of the . Reid needs to purchase ties for a new job. Out of the choices below, which is the best one to buy?(1): 6 ties for $25.50(2): 4 ties for $18.00(3): 5 ties for $21.00 set-point refers to a. final point in a tennis match b. a weight that is difficult for your body to change c. target weight in a diet d. a target on your belt to better your waist-to-hip ratio describe the mechanism by which atp synthase makes atp. when the beta subunit is in the loose conformation, it may contain atp. a client is prescribed a disease-modifying antirheumatic drug that is successful in the treatment of rheumatoid arthritis but has side effects, including retinal eye changes. what medication will the nurse anticipate educating the client about? first cost $8000 $6000 $6000 $9500 uniform annual benefit 1750 1300 1425 1900 computed rate of return 17.5% 17.3% 19.9% 15.1% (a) construct a choice table for interest rates from 0% to 100%. (b) using 12% for the marr, which alternative should be selected? an astronaut on mars (mass 6.421023kg , radius 3.39106m ) launches a probe straight upward from the surface at 3.00103m/s . what is the maximum height above the surface that the probe reaches? neglect air resistance and the gravitational pull of the two small moons of mars. Ogilvie syndrome is a condition that mimics a bowel obstruction. The patient experiences abdominal bloating and constipation in the absence of a mechanical blockage. Ogilvie syndrome is usually preceded by surgery and results in extreme loss of motor activity in the bowel. Which division of the autonomic nervous system is underactive in this case, especially with respect to the gastrointestinal system?. How are the events that occur on Earths surface important within the rock cycle? please cluster the following points, (18, 10), (21, 11), (22, 22), (24, 15), (26, 12), (26, 13), (27, 14), (30, 33), (31, 39), (35, 37), (39, 44), (40, 27), (41, 29), (42, 20), (44, 28), (46, 21), (47, 30), (48, 31), (49, 23), (54, 24) use the numbers as pairs of x and y values which represent their locations. all distances are measured with euclidean distance. hint: you'll probably want to code for this question, although hand tracing is not impossible.a. Use the k-means algorithm, with(24,15),(30,33), and(54,24) as the initial cluster centers, process the dataset until convergence, choose a method of your choice to evaluate the cluster result quality. (10pts) b. Use the agglomerative hierarchical clustering to cluster the data, use single link, complete link, and average link, respectively. Discuss the similarities and/or the dissimilarities between the 3 different link methods. (10pts) how is the termstress best defined? a. a physical response to an unpleasant event or condition b. the mostly negative physical and emotional experience associated with the stress response c. adaptation to an event, perceived or real d. a negative perception of one's circumstances 1) the company paid cash to purchase $9,400 of inventory. 2) the company sold inventory that cost $8,500 for $15,000 cash. 3) operating expenses incurred and paid during the year, $4,800. note: sanchez uses the perpetual inventory system. what is sanchez's gross margin for year 2?