Arrange the following in order of increasing Rf with TLC:

a. acetic acid
b. acetaldehyde
c. 2-octanone
d. decane
e. 1-butanol

Answers

Answer 1

Answer:

Decane> 2-octanone> acetaldehyde> acetic acid> 1-butanol

Explanation:

One of the most important factors that affect the retention factor (Rf) in chromatography is the polarity of the mobile phase.

We have to recall that effective separation in chromatography depends on the movement of the mobile phase over a stationary phase.

The more polar the mobile phase, the more it interacts with the solute and the more the distance it travels from the baseline. Thus high solvent polarity leads to higher Rf value.

Therefore, the order of increasing Rf values for the solvents in the question is; Decane> 2-octanone> acetaldehyde> acetic acid> 1-butanol


Related Questions

What is the standard enthalpy change for the decomposition of one mole of SO3?

Answers

Answer:

see explanation

Explanation:

SO₃(g) + 395.77 Kj/mole => S°(s) + 3/2O₂(g)

The standard heat of formation for SO₃(g) is given by the following rxn:

S°(s) + 3/2O₂(g) => SO₃(g) + 395.77 kJ/mole. Reversing this reaction is the decomposition of SO₃(g) into its basic elements in their standard state (25°C, 1atm) and is endothermic with +295.77Kj/mole.

Calculate the new boiling point of a solution if 10.00 g of a non-ionizing compound (C3H5(OH)3) is dissolved in 90.00 g of H2O. Molar Mass of C3H5(OH)3 = 92.09 g/mol Kb = 0.51 oC/m (Answer must be in 4 sig fig. Do not include units in your answer).

Answers

Answer:

Boiling T° of solution = 100.6

Explanation:

Formula for elevation of boiling point is:

ΔT = Kb . m . i

where ΔT means Boiling T° of solution - Boiling T° of pure solvent

Our solute is a non ionizing compound.

i = 1, because it is a non ionizing compound. i, indicates the ions dissolved in solution.

m = molality (moles of solute dissolved in 1 kg of solvent)

90 g of solvent = 0.09 kg of solvent

We convert mass of solute to moles (by the molar mass):

10 g . 1 mol /92.09 g = 0.108 moles

m = 0.108 mol /0.09 kg = 1.21 m

Let's replace data: Boiling T° of solution - 100°C = 0.51 °C/m . 1.21 m . 1

Boiling T° of solution = 0.51 °C/m . 1.21 m . 1 + 100°C

Boiling T° of solution = 100.6

Which of the following equations is not balanced?
A.
C5H12(1)
+
802(8)
5CO2(8)
+ 6H2O(g)
B.
H3PO4(aq)
+ 3NaOH(aq)
Na3PO4(aq) + 3H20(1)
C.
PC15(8)
+ 3H2O(g)
H3PO46
+ 5HCl(aq)
D.
Pb(NO3)2(aq)
+ 2HCl(aq)
PbCl2(s)
+ 2HNO3(aq)​

Answers

Answer:

The answer is C.

Explanation:

In the chemical equation in C, there are 15 Carbon atoms and 1 Phosphorus atom in PC15, and 3 Hydrogen atoms and 6 Oxygen atoms in 3H2O on the left hand side. On the right hand side, there are 3 Hydrogen atoms, 1 Phosphorus atom and 46 Oxygen atoms in H3PO46, and 5 Hydrogen atoms and 5 Chlorine atoms in 5HCl.

Therefore, tallying up, there are 6 Oxygen atoms on the left hand side and 46 Oxygen atoms on the right hand side. This means the chemical equation in C is unbalanced.

Hope this helped!

What is the IUPAC name of the following compound?
OH
s

Answers

Answer:

2-isopropyl-4-methylphenol.

Explanation:

Hey there!

In this case, according to the given information, it turns out possible for us to assign the appropriate IUPAC name of the given compound, by considering that the phenol stands for the parent chain and we have isopropyl methyl radicals which the former is called first due to the alphabet consideration.

In such a way, the name would be 2-isopropyl-4-methylphenol.

Regards!

Give the balanced equation for the neutralisation of the excess NaOH with HCI.​

Answers

1 NaCl + 1 HCl ➡️ 1 NaCl + Water (H2O) .

The three parts of quality assurance are determining use objectives, setting specifications, and assessment of results. Classify the actions taken during quality assurance by the part of quality assurance in which they should be taken.

a. Document procedures and keep suitable records.
b. Use quality control samples to monitor performance.
c. Compare data and results with specifications.
d. Consider the accuracy and precision needed.
e. Determine the sampling requirements.
f. Follow standard operating procedures.

Answers

I think the answer to this is a

The actions taken during quality assurance by the part of quality assurance in which they should be taken is to document procedures and keep suitable records. The correct option is a.

What is quality assurance?

Quality assurance is checking the quality of objects and services. They are assured in the companies and factories and other places to check the quality of the products.

The different type of quality assurance is: There are different types of quality assurance.

control.acceptance sampling. control charts.product quality control.

They work in the set quality and set requirements. They maintain the quality and develop those sets. Furthermore, they manage waste and quality.

Thus, the correct option is a. Document procedures and keep suitable records.

To learn more about quality assurance, refer to the link:

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Na lost an e- it shrank and the Cl+ grew in size. Does that say anything about the location of the electron before and after it was transferred

Answers

Answer:

48

Explanation:

Name the following ketone:
여 o
A. cyclohexyne
B. cyclohexanal
C. cyclohexanol
D. cyclohexanone

Answers

a. cyclohexyne is the answer

Answer:

It is D).cyclohexanone ( in acellus)

Explanation:

. Diatomic chlorine and sodium hydroxide (lye) are commodity chemicals produced in large quantities, along with diatomic hydrogen, via the electrolysis of brine, according to the following unbalanced equation:
NaCl(aq)+ H2O(l) → NaOH (aq) + H2(g) + Cl2(g)
Write balanced molecular, complete ionic, and net ionic equations for this process.

Answers

Answer:

See explanation

Explanation:

The molecular equation is depicted below;

The balanced molecular reaction equation is;

2 NaCl (aq) + 2 H2O (l) → 2 NaOH (aq) + Cl2 (g) + H2 (g)

The complete ionic equation is;

2Na^+(aq) + 2Cl^-(aq) + 2H2O(l) ---> 2Na^+(aq) + 2OH^-(aq) + Cl2(g) + H2(g)

Hence, net Ionic equation;

2Cl^-(aq) + 2H2O(l) ---> 2OH^-(aq) + Cl2(g) + H2(g)

When 10.0 g of sulfur is combined with 10.0 g of oxygen, 20.0 g of sulfur dioxide is formed. What mass of oxygen would be required to convert 10.0 g of sulfur into sulfur trioxide?

Answers

Answer:

Actually, we can answer the problem even without the first statement. All we have to do is write the reaction for the production of sulfur trioxide.

2 S + 3 O₂ → 2 SO₃

The stoichiometric calculations is as follows:

6 g S * 1 mol/32.06 g S = 0.187 mol S

Moles O₂ needed = 0.187 mol S * 3 mol O₂/2 mol S = 0.2805 mol O₂

Since the molar mas of O₂ is 32 g/mol,

Mass of O₂ needed = 0.2805 mol O₂ * 32 g/mol = 8.976 g O₂

Potassium Chlorate decomposes according to the reaction below.

2KClO3(s)  2KCl(s) + 3O2(g)

A 4.35 g sample of KClO3 is heated and the O2 gas produced by the reaction is collected in an evacuated flask. What is the volume of the O2 gas if the pressure of the flask is 0.75 atm and the gas temperature is 27oC? R=0.0821 (L*atm)/(mol*K)

Answers

Answer:

1.75L

Explanation:

Reaction of decomposition is:

2KClO₃(s) →  2KCl(s) + 3O₂(g)

We determine moles of salt:

4.35 g . 1 mol /122.55 g = 0.0355 moles

Ratio is 2:3. 2 moles of salt can produce 3 moles of oxygen

Then, our 0.0355 moles of chlorate may produce (0.0355 . 3)/ 2 = 0.0532 moles.

We have determined, moles of gas and we have data of pressure and temperature. To find out the volume, we apply the Ideal Gases Law:

We convert T° from °C to K → 27°C + 273 = 300K

P . V = n . R . T

0.75 atm . V = 0.0532 mol . 0.0821 L.atm/mol.K . 300K

V = (0.0532 mol  . 0.0821 L.atm/mol.K . 300K) / 0.75 atm

V  = 1.75 Liters

One of the most common causes of inaccurate melting point ranges is rapid heating of the compound. Under these circumstances, how will the observed MP range compare to the true MP range

Answers

Answer:

INCREASE in the difference between the melting point measured and the true melting temperature.

Explanation:

Melting point of a compound is defined as the temperature at which the soils compound changes into liquid at the atmospheric pressure. There are different circumstances that can lead to inaccurate melting point. These include:

--> presence of impurities in the compound,

--> Molecular composition,

--> Force of attraction, and

--> Rapid heating of the compound.

Under the circumstances of rapid heating of the compound, there would be an increase in the melting point range when compared with the true melting point range of the compound.

The higher the heating rate, the more rapid the rise in oven temperature, increasing the difference between the melting point measured and the true melting temperature.


describe how lyophobic sols are synthesize by dispersion method

Answers

Explanation:

For preparing lyophobic sol, the substance in bulk is broken down into particles of colloidal dimensions (Dispersion) or aggregating smaller particles into particles of colloidal dimensions (condensation).

Using the following equation how many grams of water you would get from 886 g of glucose:

C6H12O6 + 6O2 → 6CO2 + 6H2O + energy

Answers

Answer:

531.6g

Explanation:

Total moles of glucose in this case is: 886/180= 4.922 (mole)

For every 1 mole glucose we get 6 mole water

-> Mole of water is: 4.922 * 6= 29.533 (mole)

weight of water is 18. Therefore, total weight of water that we will have from 886g of glucose are: 25.933*18= 531.6g

Epinephrine (adrenaline) is a hormone secreted into the bloodstream in times of danger and stress. It is 59.0% carbon, 7.15% hydrogen, 26.20% oxygen, and 7.65% nitrogen by mass and has a molar mass of 183 g/mol. Determine the empirical formula for Epinephrine.

Answers

Answer: The empirical and molecular formula for the given organic compound is [tex]C_9H_{13}O_3N[/tex]

Explanation:

Let the mass of the compound be 100 g

Given values:

% of C = 59.0%

% of H = 7.15%

% of O = 26.20%

% of N = 7.65%

Mass of C = 59.0 g

Mass of H = 7.15 g

Mass of O = 26.20 g

Mass of N = 7.65 g

The number of moles is defined as the ratio of the mass of a substance to its molar mass. The equation used is:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex] ......(1)

To formulate the empirical formula, we need to follow some steps:

Step 1: Converting the given masses into moles.

Molar mass of C = 12 g/mol

Molar mass of H = 1 g/mol

Molar mass of O = 16 g/mol

Molar mass of N = 14 g/mol

Putting values in equation 1, we get:

[tex]\text{Moles of C}=\frac{59.0g}{12g/mol}=4.917 mol[/tex]

[tex]\text{Moles of H}=\frac{7.15g}{1g/mol}=7.15 mol[/tex]

[tex]\text{Moles of O}=\frac{26.20g}{16g/mol}=1.6375 mol[/tex]

[tex]\text{Moles of N}=\frac{7.65g}{14g/mol}=0.546 mol[/tex]

Step 2: Calculating the mole ratio of the given elements.

Calculating the mole fraction of each element by dividing the calculated moles by the least calculated number of moles that is 0.546 moles

[tex]\text{Mole fraction of C}=\frac{4.917}{0.546 }=9[/tex]

[tex]\text{Mole fraction of H}=\frac{7.15}{0.546 }=13[/tex]

[tex]\text{Mole fraction of O}=\frac{1.6375}{0.546 }=2.99\approx 3[/tex]

[tex]\text{Mole fraction of N}=\frac{0.546}{0.546 }=1[/tex]

Step 3: Taking the mole ratio as their subscripts.

The ratio of C : H : O : N = 9 : 13 : 3 : 1

The empirical formula of the compound becomes [tex]C_9H_{13}O_3N_1=C_9H_{13}O_3N[/tex]

To calculate the molecular formula, the number of atoms of the empirical formula is multiplied by a factor known as valency that is represented by the symbol, 'n'.

[tex]n =\frac{\text{Molecular mass}}{\text{Empirical mass}}[/tex] .....(2)

We are given:

Mass of molecular formula = 183 g/mol

Mass of empirical formula = 183 g/mol

Putting values in equation 2, we get:

[tex]n=\frac{183g/mol}{183g/mol}=1[/tex]

Multiplying this valency by the subscript of every element of empirical formula, we get:

[tex]C_{1\times 9}H_{1\times 13}O_{1\times 3}N_{1\times 1}=C_9H_{13}O_3N[/tex]

Hence, the empirical and molecular formula for the given organic compound is [tex]C_9H_{13}O_3N[/tex]

Using Hess’s law, what is the standard enthalpy of formation of manganese (II) oxide, MnO(s)?

Answers

With the help of hess's law:

ΔHf(MnO)=−248.9 kJ−12(272.0) kJ=−384.9 kJ(per mole) Δ H f ( M n O ) = − 248.9 k J − 1 2 ( 272.0 ) k J = − 384.9 k J ( p e r m o l e )

What is Hess's law?

Hess's law of constant heat summation, also known simply as Hess' law, is a relationship in physical chemistry named after Germain Hess, a Swiss-born Russian chemist and physician who published it in 1840.

Moreover, hess's Law of Constant Heat Summation (or just Hess's Law) states that regardless of the multiple stages or steps of a reaction, the total enthalpy change for the reaction is the sum of all changes.

Therefore, hess' law is based on the state function character of enthalpy and the first law of thermodynamics. Energy (enthalpy) of a system (molecule) is a state function.

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A solution has a [H3O+] of 1 × 10−5 M. What is the [OH−] of the solution?

A) 9 M
B) 14 M
C) 1 x 10^{-9}
D) 1 x 10^{-14}

Answers

It’s not a or b or c or d it’s the only one

What is the pH of a 1.0 x103 M KOH solution?
A. 11
B. 4.0
C. 10
D. 3.0

Answers

Answer:

Option A. 11

Explanation:

We'll begin by calculating the concentration of Hydroxide ion in the solution. This can be obtained as follow:

KOH (aq) —> K⁺(aq) + OH¯(aq)

From the balanced equation above,

1 mole of KOH produced 1 mole of OH¯.

Therefore, 1×10¯³ M KOH will also produce 1×10¯³ M OH¯.

Next, we shall determine the pOH of the solution. This can be obtained as follow:

Concentration of Hydroxide ion [OH¯] = 1×10¯³ M

pOH =?

pOH = –Log [OH¯]

pOH = –Log 1×10¯³

pOH = 3

Finally, we shall determine the pH of the solution. This can be obtained as follow:

pOH = 3

pH =?

pH + pOH = 14

pH + 3 = 14

Collect like terms

pH = 14 – 3

pH = 11

Therefore, the pH of the solution is 11

Which tasks can be used to start a descriptive investigation

Answers

Answer:

The tasks which form the preliminaries to a descriptive investigation are: Making careful objective observations. Asking the relevant scientific questions.

The tasks which form the preliminaries to a descriptive investigation are: Making careful objective observations. Asking the relevant scientific questions

A sample of gas contains 0.1800 mol of CO(g) and 0.1800 mol of NO(g) and occupies a volume of 23.2 L. The following reaction takes place:
2CO(g) + 2NO(g 2Co2(g) +N2(g)
Calculate the volume of the sample after the reaction takes place, assuming that the temperature and the pressure remain constant.

Answers

Answer:

The volume of the sample is 17.4L

Explanation:

The reaction that occurs requires the same amount of CO and NO. As the moles added of both reactants are the same you don't have any limiting reactant. The only thing we need is the reaction where 4 moles of gases (2mol CO + 2mol NO) produce 3 moles of gases (2mol CO2 + 1mol N2). The moles produced are:

0.1800mol + 0.1800mol reactants =

0.3600mol reactant * (3mol products / 4mol reactants) = 0.2700 moles products.

Using Avogadro's law (States the moles of a gas are directly proportional to its pressure under constant temperature and pressure) we can find the volume of the products:

V1n2 = V2n1

Where V is volume and n moles of 1, initial state and 2, final state of the gas

Replacing:

V1 = 23.2L

n2 = 0.2700 moles

V2 = ??

n1 = 0.3600 moles

23.2L*0.2700mol = V2*0.3600moles

17.4L = V2

The volume of the sample is 17.4L

A molecular compound has the following empirical formula: CH2O. The molar mass of the empirical formula is g. Write your answer using 3 significant figures. If the molar mass of the molecular compound is 180.0 g/mol, write the molecular formula of the compound.

Answers

Answer:

Empirical formula has a molar mass of 30.01g/mol and molecular formula is C₆H₁₂O₆

Explanation:

Molar mass of a molecule is the sum of the molar mass of each atom. In CH2O we have:

1C = 1*12.01g/mol = 12.01g/mol

2H = 2*1g/mol = 2g/mol

1O = 1*16g/mol = 16g/mol

Empirical formula of CH2O is:

12.01g/mol + 2g/mol + 16g/mol = 30.01g/mol

As the molecular compound has a molar mass of 180.0g/mol the molecular formula is:

180.0g/mol / 30.01g/mol = 6 times the empirical formula. That is:

C₆H₁₂O₆

(NH4)2SO4(aq)+SrCl2(aq)→

Answers

I can’t answer properly without the rest of the equation (because I’m assuming it’s supposed to be balanced) but the rest of the equation should have 2 nitrogen (N), 8 hydrogen (H), 1 sulfur (S), 4 oxygen (O), 1 strontium (Sr), and 2 chlorine (Cl). That is if the 2 after (NH4) is a subscript.

what is the theoretical yield of Mg(s) + O2(g) → MgO(s)

will give brainliest fakes will be reported

Answers

The anwser for this question is on socractic don’t report me for trying to help :((( !!

The constitutional isomer of ethanol, dimethyl ether (CH3OCH3), is a gas at room temperature. Suggest an explanation for this observation.

Answers

Answer:

Because of its weak intermolecular forces.

Explanation:

Hello there!

In this case, according to the given description, it turns out possible for us to recall the chemical structures of both ethanol and dimethyl ether as follows:

[tex]CH_3CH_2OH\\\\CH_3COCH_3[/tex]

Thus, we can see that ethanol have London dispersion forces (C-C bonds), dipole-dipole forces (C-O bonds) and also hydrogen bonds (O-H bonds) which make ethanol a liquid due to the strong hydrogen bonds. On the other hand, we can see that dimethyl ether has just London and dipole forces, which are by far weaker than hydrogen bonding, that makes it unstable when liquid and therefore it tends to vaporize quite readily.

Regards!

CAN SOMEONE PLEASE HELP ME I WILL MARK YOU AS BRAINLIEST

Answers

Explanation:

[tex]2H_2O_2 \rightarrow 2H_2O + O_2[/tex]

First convert the amount of water into moles:

360 g H2O × [tex]\left(\dfrac{1\:\text{mol}H_2O}{18.015\:\text{g}H_2O}\right)[/tex]

[tex] = 20. \:\text{mol}H_2O[/tex]

Now let's calculate the number of moles of O2 gas produced.

20 mol H2O × [tex]\left(\dfrac{1\:\text{mol}O_2}{2\:\text{mol}H_2O}\right)=10\:\text{mol}O_2[/tex]

The volume of gas at 10°C and 5 atm can be found using the ideal gas law:

[tex]PV=nRT[/tex]

[tex]V= \dfrac{nRT}{P}[/tex]

[tex]= \dfrac{(10)(0.082)(283)}{(5)}=46.4\:L[/tex]

Ch3-ch2-o-ch2-ch2-och3

Answers

Explanation:

ethoxypropane

Ch3-ch2-o-ch2-ch2-och3

A chemistry student must write down in her lab notebook the concentration of a solution of sodium thiosulfate. The concentration of a solution equals the mass of what's dissolved divided by the total volume of the solution.

Answers

Answer:

A chemistry student must write down in her lab notebook the concentration of a solution of sodium thiosulfate. The concentration of a solution equals the mass of what's dissolved divided by the total volume of the solution.

Explanation:

The concentration of a solution can be measured in terms of molarity.

The molarity of a solution can be defined as the number of moles of solute present in the total volume of the solution.

The number of moles of solute is the ratio of mass of solute to molar mass of solute.

Hence,

[tex]Molarity=\frac{mass of solute}{molar mass of solute} * \frac{1}{volume of solution in L.}[/tex]

Which one is the dependent variable in distance, force, or work

Answers

Answer:

Work

Explanation:

Formula for work is given by;

Work = force × distance.

It is clear from this formula that Work depends on force and distance.

This means that force and distance are independent of the workdone and so they are classified as independent variables while work will be the dependent variable.

Cellulose and starch are examples of:
Select one:
a. monosaccharides
b. disaccharides
c. lipids
d. polysaccharides

Answers

Answer:

The choose (d)

d. polysaccharides

Answer d. polysaccharides

An object with a mass of 0.255 kg and density of 2.89 g/cm^3 measures 34 mm in length and 46 mm in width. What is the height of the object?

1) 5.6 cm
2) 5.6•10^-2 cm
3) 7.2 •10^-4 cm

Answers

5.64 I think, I'm sorry if I'm wrong

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Find the volume of the cylinder pictured below. What is the exact volume in terms of pi? Why do you think the style of each mosque is so different? (Consider the time, situation etc.) A circle is centered at the point (-3, 2) and passes through the point (1, 5) what is the radius of the circle hey what is magnetic field which claims are best supported by reasons and relevent evidence? the sum of a number squared and 12 is identical to four added to the same number 4Read the excerpt from John F. Kennedy's 1961"Inaugural Address."Select the correct answerWhich words from the passage support the speaker's optimistic tone?from Inaugural Addressby John F. KennedyThe world is very different now. For manholds in his mortal hands the power to abolishall forms of human poverty and all forms ofhuman life. And yet the same revolutionarybeliefs for which our forebears fought are still atissue around the globe-the belief that therights of man come not from the generosity ofthe state but from the hand of God.O A. peace, temperedOBissue, unwillingOc.proud, committedOD.abolish, disciplinedResetNextto a newWe dare not forget today that we are theheirs of that first revolution. Let the word goforth from this time and place, to friend and foealike, that the torch has been passed tgeneration of Americans-born in this centucentury,tempered by war, disciplined by a hard andbitter peace, proud of our ancient heritage-andunwilling to witness or permit the slow undoingof those human rights to which this nation hasalways been committed, and to which we arecommitted today at home and around theworld. Mrs. Ling, a sixth-grade English teacher, is introducing an instructional assignment to promote her students' writing skills. Before she provides the writing assignment, she asks each student to think of a person they view as a role model and then list five characteristics they like about their role model. Once each student has completed the activity, she instructs her students to construct a three-paragraph essay about what makes a good role model. Which of the following is the most beneficial reason for the teacher to ask each student to list five characteristics of their role model?A. It allows the teacher to identify a foundation to help the students begin their writing activity.B. It allows each student to write about something they want to write about.C. It promotes students' creativity outside the structure of a classroom activity.D. It stimulates the students' creativity and gives them a beginning outline for their essay. name of a gland which act as mixed gland __ A + b = 7b and b + (2b-a) = 7 find (a - b). use these functions a(x) =4x +9 and b(x) =3x -5 to complete the function operations listed below Se relaciona con la solidaridad en la que el estado debe garantizar la paz social y el derecho a la integridad fsica You are building a door frame. Both sides are 80.5 in long, and the top and bottom are both 36.5 in wide. Which additional statement does not give enough information to conclude that the door frame forms a rectangle a) the door frame has a right angle b) the diagonals of the door frame are congruent c) The door frame has a pair of congruent, opposite angles d) the door frame has a pair of congruent adjacent angles I think the answer is number three but Im not sure why pls help ASAP. 9.5 sq. miles = _____ acres2 acres = _______ square yards Find the quadratic equation whose parabola has vertex (3,-2) and y-intercept (0, 16). Give youranswer in vertex form. What environmental Factor would likely lead to an increase in genetic variation in a population of squirrels During team meetings Amber Downing always notices that Rhoma Law tends to ask innumerable questions and suggest ideas at each discussion. However, Law stands out in the meetings only because she is the only one making suggestions. If both of them were part of team meetings where almost all member made w o rd asked questions, Law would not have drawn as much attention from Downing. Which of the following factors has most likely influenced Downing's perception of Law A) expectation B) interest ) pault experience D) context Emotive the equation cos(x)( cos(x)-tan(x)sin(x)) simplifies to What is amu?? How is 1amu=1.606*10*-27? . Hannah is selling slices of pie at the bake sale. The pie has 8 slices. She has sold 1/4 of the slices. What fraction with a denominator of 8 is equal to 1/4?