=> The approximate mss of an electron is 1/10²⁷ g , Calculate the uncertainty in its velocity if the uncertainty in its position were of the order of 1/10¹¹ m ( h = 6.6 × 1/10³⁴ kg m² per sec ) ..​

Answers

Answer 1

Answer:

Δx(m.Δv)=h/4π

here ,

Δv = uncertainty in velocity

10−11×10−27×Δv=6.626×10−34/4×22/7

=5.25×103ms−1

Answer 2

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

According to Heisenberg's uncertainty principle :

[tex]\qquad \sf  \dashrightarrow \: \Delta x \Delta p \geqslant \cfrac{h}{4 \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \Delta x \cdot m \Delta v \geqslant \cfrac{h}{4 \pi}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \Delta v \geqslant \cfrac{h}{4 \pi \cdot m \Delta x}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \Delta v \geqslant \cfrac{6.6 \times 10 {}^{ - 34} }{4 \pi \cdot 10 {}^{ - 27} \times 10 {}^{ - 3} \times 10 {}^{ - 11} }[/tex]

[tex] \textsf{ [ we took } [/tex][tex]{ {10}^{-3} } [/tex][tex] \textsf{because mass of electron is} [/tex][tex] \textsf{ given in grams that need to be converted into kg ]} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \Delta v \geqslant \cfrac{6.6 }{4 \pi } \times \cfrac{10 {}^{ - 34} } {10 {}^{ (- 27 - 3 - 11)} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \Delta v \geqslant \cfrac{6.6 }{4 \times 3.14 } \times \cfrac{10 {}^{ - 34} } {10 {}^{ - 41} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \Delta v \geqslant \cfrac{6.6 }{4 \times 3.14 } \times {10 {}^{ 7}}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \Delta v \geqslant \cfrac{6.6 }{12.56 } \times {10 {}^{ 7}}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \Delta v \geqslant0.525\times {10 {}^{ 7}}[/tex]

[tex]\qquad \sf  \dashrightarrow \: \Delta v \geqslant5.25\times {10 {}^{ 6}} \:\:m/s[/tex]


Related Questions

If I(to study),I(to pass)the exams​

Answers

If I study, I will pass the exams.

Nuclear explosions require a specific amount of mass to trigger and self-sustain a nuclear chain reaction. That mass is called the

Answers

Answer:

Explanation:

The term you want is the critical mass. It is the mass needed to trigger a nuclear reaction and keep it going.

Approximately 104 pounds of Uranium 235 is needed for the critical mass to occur. If it is less than 104 pounds, no reaction will occur.

If the temperature of a gas increased from 100 K to 200 K and the volume of a gas decreased from 20 L to 10 L, what is the new pressure if the original pressure was 100 kPa?
Group of answer choices

A. 100 kPa

B. 400 kPa

C. 200 kPa

D. 50 kPa

Answers

Answer:

B. 400 kPa

Explanation:

the pressure increases, when the temperature increases. and it increases, when the volume decreases.

both cases happen here, each with the factor 2.

so, the pressure increases by the factor 2×2 = 4.

4×100 = 400 kPa

How much heat is needed to melt 100.0 grams of ice that is already at 0°C?
Group of answer choices

A. +33,400J

B. -226,000 J

C. +226,000 J

D. -33,400J

Answers

Taking into account the definition of calorimetry and latent heat, the heat needed to melt 100.0 grams of ice that is already at 0°C is 33,400 J (option A).

Calorimetry

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

Latent heat

Latent heat is defined as the energy required by a quantity of substance to change state.

When this change consists of changing from a solid to a liquid phase, it is called heat of fusion and when the change occurs from a liquid to a gaseous state, it is called heat of vaporization.

In this case, the heat Q that is necessary to provide for a mass m of a certain substance to change phase is equal to

Q = m×L

where L is called the latent heat of the substance and depends on the type of phase change.

Heat needed to melt ice

In this case, you have to melt the ice into liquid water.Being the specific heat of melting of ice is 334 J/g, the heat needed to melt 100 grams of ice is calculated as:

Q= 100 grams× 334 J/g

Solving:

Q= 33,400 J

In summary, the heat needed to melt 100.0 grams of ice that is already at 0°C is 33,400 J (option A).

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The value of gravitational acceleration of a body on earth is 9.8 meters/second 2 power. The gravitational energy for a 1.00 kg object is found to be 12.5 joules. How high is the ground level, where KE = 0

Answers

Answer:

I don't know what the hell is going on with the this.

Solve this organic transformation....use - Br2,CCl4,KOH,CH3OH,Hg+2,diluted H2SO4, PCC,HBr,Mg,Dry ether,Na,H2,Pd,quinoline

Answers

Organic transformation sequential equation using catalysts will be as follows:

2CH3-CH2-O => (alc. KOH) => CH2=CH2 + KCl + H2O => (Br2/CCl4) => CH2Br-CH2Br + Zn

CH2Br-CH2Br + Zn => (HBr /Pd) => CH2=CH2+ZnBr2

As can be visualized from above organic transformation equation, conversion of dry ether in presence of alkaline potassium hydroxide results in formation of unstable ethene. This dry unsaturated compound of ethene is stabilized by reaction that happens in presence of bromine or calcium tetrachloride as the catalyst which results in formation of ethylene bromide which in presence of highly efficient palladium as catalyst results in formation of stable ethene as byproduct. Thereby with formation of stable compound of ethylene, it releases zinc bromide as byproduct resulting completion of reaction equation. This stable product ethene is a double bonded carbon structure that is chemically extremely flammable and has planar structure.

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An aluminum plant produces 60 million kg of aluminum per year. It takes 17 kWh of electricity to produce 1.0 kg of aluminum. How much electricity does the plant use for aluminum production in 1 year?
Express your answer to two significant figures and include the appropriate units.

Answers

The amount of electricity the plant will use for aluminum production in 1 year is 102×10⁷ KWh of electricity

Data obtained from the question

From the question given above, the following data were obtained:

Electricity per Kg of Aluminum = 17 kWh of electricityElectricity for 60000000 Kg of Aluminum = ?

How to determine the amount of electricity needed

The amount of electricity needed to produce the aluminum for 1 year can be obtained as illustrated below:

From the question given above,

1 Kg of Aluminum required 17 KWh of electricity

Therefore,

60000000 Kg of Aluminum will require = 60000000 × 17 = 102×10⁷ KWh of electricity

Thus, the amount of electricity needed to produce the aluminum for 1 year is 102×10⁷ KWh of electricity

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[Ir(NH3)₂CI(CO)] draw cis and trans isomers​

Answers

The IUPAC name of this compound is diamminecarbonylchloroIridium ..

What are Isomers?

Isomers are structure of compund in different forms but they have same molecular mass .

The cis and trans form are given in the picture

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Which of the following ionic formulas is INCORRECT?
a) K₂O
b) Fe₂(SO4)_3
c) CUPO4
d) (NH4)_2S
e) CaBr₂

Answers

Answer:

c) CuPO₄

Explanation:

Copper commonly forms the cation Cu²⁺.

Phosphate is a polyatomic anion which can be represented by PO₄³⁻.

In order to have proper charge balance (an overall charge of 0), there must be three copper cations and two phosphate anions within the compound. As such, the correct ionic formula is Cu(PO₄)₂.

Lab Data
Mass of magnesium (g)
Moles of magnesium (mol)
Temperature of water (°C)
Temperature of water (K)
Vapor pressure of water (mmHg)
Barometric pressure (mmHg)
Observations
Volume of hydrogen gas collected (mL)
Volume of hydrogen gas collected (L)
Pressure of hydrogen gas (mmHg)
Pressure of hydrogen gas (atm)
Moles of hydrogen gas produced (mol)
Ideal das constant (L-atm-mol-K)
0.218
-X
ES
V
LAB DATA SH
OLONCE

Answers

Answer:

okkkk zjjdjdjdjduxuxu

What is the isotopic symbols for
Beryllium atom that contains 9 nucleon?

Answers

Answer:

Beryllium-9 is the isotope of beryllium with relative atomic mass 9.

Determine what type of compound is shown below:

A. Metallic
B. Electrostatic
C. Ionic
D. Polar

Answers

Answer:

Polar

Explanation:

Methanol is not electrostatic

It's not metallic as it has no metals in it

It's not ionic as coordinate bonding is made.

It's polar as a lone pair is present over OH-

Please help thank you so much

Answers

The two compounds that are the correct enol tautomers of 2-butnone are the structures shown in Option B.

What is Keto Enol Tautomerism?

Isomerism is a situation in which two compounds have the same molecular formula but do not have the same structural formula. This occurs because the atoms in the molecule are arranged differently in space. One of the types of isomerism that we have is the Keto Enol Tautomerism. The Keto Enol Tautomerism occurs between the Keto and the enol forms of a compound via the movement of electrons. It is common in ketone compounds.

In this case, we can see that the compound 2-butanone can give rise to two enol compounds that have the same molecular formula as the 2-butanone.

The two compounds that are the correct enol tautomers of 2-butnone are the structures shown in Option B.

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Calculate the molality of a 5.51 M ethanol (C2H5OH) solution whose density is 0.9349 g/mL

Answers

Molality of C2H5OH is 1.1.27m.



What is Molality?

Molality is no.of moles present in One Kg solution .

Molality is represented by m

m= no.of moles/ weigt of solution in kg

Given is Molarity= 51.30M

molar mass of C2H5OH is 46g / mol , Density =0.9349g/ ml

Density=m/V

V = 107 ml

Molarity= no of moles/ Volume

51.5×46×107= x × 1000

weight of C2H5OH = 27.7g

molality = 27.7/1000××46

m= 1.27m

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Calculate the pOH of a 0.0143 M NaOH solution at 25 ⁰C.


1.845


6.993 x 10⁻¹³


12.155


-1.845

Answers

Answer:

A.) 1.845

Explanation:

You can find the pOH using the following equation:

pOH = -log[OH⁻]

Since NaOH dissociates into 1 Na⁺ and 1 OH⁻, the concentration of both ions is 0.0143 M.

pOH = -log[OH⁻]

pOH = -log[0.0143]

pOH = 1.845

For each balanced reaction, indicate the total number of atoms in the table below.

Answers

(i) Make ammonia number of atoms on reactant side is 8 and on product side is 8. (ii) Separate water number of atoms on reactant side is 6 and on product side is 6. (iii) Combust methane number of atoms on reactant side is 9 and number of atoms on product side is 9.  

What is Balanced Chemical Equation ?

The balanced chemical equation is the equation in which the number of atoms on the reactant side is equal to the number of atoms on the product side in an equation.

(i) Make Ammonia

First we have to write the balanced chemical equation

             N₂ + 3H₂ → 2NH₃

Reactant side              Product side

N = 2                             N = 2

H = 6                             H = 6

So total number of atoms on product and reactant side is 8.

(ii) Separate Water

First we have to write the balanced chemical equation

            2H₂O → 2H₂ + O₂

Reactant side              Product side

H = 4                             H = 4

O = 2                             O = 2

So total number of atoms on product and reactant side is 6.

(iii) Combust methane

First we have to write the balanced chemical equation

       CH₄ + 2O₂ → 2H₂O + CO₂

Reactant side              Product side

C = 1                             C = 1

H = 4                            H = 4

O = 4                            O = 4

So total number of atoms on product and reactant side is 9.

Thus from the above conclusion we can say that For each balanced reaction, the total number of atoms are

Reaction                            Total number of atoms

                                     Reactant side           Product side

Make Ammonia                   8                               8

Separate Water                   6                               6

Combust Methane              9                               9

Disclaimer: The question was given incomplete on the portal. Here is the complete question.

Question: For each balanced reaction, indicate the total number of atoms in the table below.

Reaction                            Total number of atoms

                                     Reactant side           Product side

Make Ammonia            _________              __________

Separate Water            _________              __________

Combust Methane       _________              __________

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What are the component of black powder and why are they needed to cause an explosion

Answers

Hi There!

Black powder is an explosive powder consisting of saltpeter, sulfur, and charcoal, used chiefly in old guns fired for sport, in fireworks, and for spotting charges in practice bombs; black gunpowder.

In addition to being easily ignited by friction and impact, black powder is also extremely sensitive to flame and spark. It ignites violently when unconstrained and explodes when lit in even the slightest amount of confinement.

Thank you,
Eddie

When aqueous magnesium chloride reacts with liquid bromine

Answers

word equation: magnesium chloride + bromine -> magnesium bromide + chlorine
balance equation: MgCl2 + 2Br -> MgBr2 + 2Cl

Most of the heat that’s melting the ice comes from the foil. That’s because metals are good conductors of heat. Heat from the surroundings flows into the foil and then from the foil into the ice. Draw arrows to show the amount and direction of heat transfer between the foil and the ice.

Answers

the rate of cooling decreases

Determine the acid and base that were neutralized to produce the following salts.

State the names and chemical formulas of the acids and bases.

potassium bromide


sodium phosphate

Answers

Answer: dentify the acids and bases from which the following salts are obtained. Write the chemical equations.

(i) NaNO

3

(ii) NH

4

Cl

Medium

Solution

HNO

3

+NaOH→NaNO

3

+H

2

O

Acid used : Nitric Acid -HNO

3

Base used: Sodium Hydroxide - NaOH

NH

4

Cl  is formed from the reaction of NH

3

, a weak base, and HCl, a strong acid.

NH

3

+HCl→NH

4

Cl

Explanation:

Arrange the events In the Ilfe of a star In the correct order.

Answers

The events in the life of a star in the correct order is as follows: F, B, C, D, E and A.

What is the life of a star?

The life of a star refers to the the events that occur in a star from when it formed newly until when it finally dies off.

When stars are newly formed, they are formed from star dust, and when just before they die, the form supernovas.

The several events in the life of a star can be arranged thus:

The temperature increases in the center of a nebula, and nuclei begin to fuse.As the nuclear fusion sets off a chain reaction, the nebula gets hotter and brighter and turns into a star.The star stays in the main sequence stage for a long time.The star runs out of hydrogen and turns into a planetary nebula or a supernova, depending on its mass.Heavy elements are created when the supernova explodes.All that remains of the star now is the core. In some cases, the star turns into a black hole

In conclusion, the life of a star is the period of its formation to its burning out or death.

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Note that the complete question is given below:

Arrange the events in the life of a star in the correct order.

A. All that remains of the star now is the core. In some cases, the star turns into a black hole

B. As the nuclear fusion sets off a chain reaction, the nebula gets hotter and brighter and turns into a star.

C. The star stays in the main sequence stage for a long time.

D. The star runs out of hydrogen and turns into a planetary nebula or a supernova, depending on its mass.

E. Heavy elements are created when the supernova explodes.

F. The temperature increases in the center of a nebula, and nuclei begin to fuse.

1. State the three factors that increase the rate of dissolving a solid substance in solution.

2. An oven-cleaning solution is 40.0% (by mass) NaOH.
If one jar of this product contains 458 g of solution, how much NaOH (by mass) does it contain?

Answers

Answer:

The rate of dissolving is influenced by several factors, including stirring, temperature of solvent, and size of solute particles.

If the energy difference between two electronic states is 214.68 kJ / mol , calculate the frequency of light emitted when an electron drops from higher to lower state. Planck's constant , h = 39.79 × 1/10¹⁴ kJ sec per mol .​

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

Energy difference btween the two electronic states can be expressed as :

[tex]{ \qquad \sf  \dashrightarrow \: \Delta E = h\nu} [/tex]

[ h = planks constant,[tex]{\: \nu } [/tex]= frequency ]

[tex] \qquad \sf  \dashrightarrow \:214.68 = 39.79 \times 10 {}^{ - 14} \times \nu[/tex]

[tex]\qquad \sf  \dashrightarrow \: \nu = \cfrac{214.68}{39.79 \times 10 {}^{ - 4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \nu = \cfrac{214.68}{39.79 } \times 10 {}^{14} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \nu \approx 5.395 \times10 {}^{14} \:\:hertz[/tex]

3. Calculate the molarity of the HCI solution if 0.074 mol of HCl is dissolved in water to

make 2000 mL of the solution. Also calculate the pH of this solution. Hint: In case of

strong acids the [H3O+] is same as the molarity of acid solution.

Answers

Answer:

Molarity = 0.037 M

pH = 1.43

Explanation:

First, you need to calculate the molarity. After converting mL to L, you can plug the values into the molarity equation and simplify.

2,000 mL / 1,000 = 2 L

Molarity (M) = moles / volume (L)

Molarity = 0.074 moles / 2 L

Molarity = 0.037 M

You can plug the molarity of the hydrogen ion into the pH equation to find the pH. Remember that H₃O⁺ and H⁺ can be considered the same thing. Since HCl dissociates into just one H⁺ and one Cl⁻, the molarity of the HCl solution is the same as the molarity of the H⁺.

pH = -log[H⁺]

pH = -log[0.037]

pH = 1.43

Which of the following best describes how an ionic compound dissolves in water?
Group of answer choices

A. It separates into individual molecules and is a non-electrolyte.

B. It breaks into its individual ions and is an electrolyte.

C. It separates into individual molecules and is an electrolyte.

D. It breaks into its individual ions and is a non-electrolyte.

Answers

The statement that best describes how an ionic compound dissolves in water is as follows: it separates into individual molecules and is an electrolyte, which is option C.

What is an ionic compound?

Ionic compound is any compound is a chemical compound composed of ions (charged atoms) held together by electrostatic forces termed ionic bonding.

Ionic compounds are electrolytes i.e. a substance when, in solution or when molten, ionizes and conducts electricity.

For example; sodium chloride (NaCl) is an ionic compound breaks down into sodium ions (Na+) and chloride ion (Cl-).

Therefore, the statement that best describes how an ionic compound dissolves in water is as follows: it separates into individual molecules and is an electrolyte.

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whats 21-4/1002-730+83920/839

Answers

The answer will be - 1.67 x [tex]10^{-6[/tex]

Mathematical operations

The problem can be solved by using the rule of BODMAS.

21-4/1002-730+83920/839

First, the operation is divided into 3 parts

21-41002-730+83920839

For the first part:

    21 - 4 = 17

For the second part:

1002-730+83920

According to BODMAS, addition operations come before subtractions.

So, the operation becomes (1002)-(730+83920)

  = (1002) - (84650)  

     = -83648

The entire operation becomes 17/-83648/839

      17/-83648 x 1/839 = -17/70180672

                                  = - 1.67 x [tex]10^{-6[/tex]

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What is included in the study of chemistry?

Select one:

a.
composition and interaction of matter


b.
motion and forces


c.
the economics of manufacturing


d.
forces and technology

Answers

Explanation:

composition and interaction of matter included in the study of chemestry

A is covered in chemistry

What is the number of moles of hydrochloric acid will there be in 10 mL of a given solution with a molarity of 0.5 mol/L?

Answers

Answer:

You are on the right track.

Explanation:

Indeed, your approach here will be to use the molar mass of aluminium hydroxide to convert the mass of the sample to moles and the mole ratio that exists between the two reactants to find the number of moles of hydrochloric acid consumed.

Al

(

OH

)

3

(

s

)

+

3

HCl

(

a

q

)

AlCl

3

(

a

q

)

+

3

H

2

O

(

l

)

The balanced chemical equation tells you that the reaction consumes

3

moles of hydrochloric acid and produces

3

moles of water for every

1

mole of aluminium hydroxide that takes part in the reaction.

So you can say that you have

0.75

g

the molar mass of Al

(

OH

)

3



1 mole Al

(

OH

)

3

78

g

the 1:3 mole ratio



3 moles HCl

1

mole Al

(

OH

)

3

=

0.029 moles HCl

−−−−−−−−−−−−−−

Since you know that the reaction produces the same number of moles of water as the number of moles of hydrochloric acid it consumes--the two chemical species have a

3

:

3

mole ratio in the balanced chemical equation--you can use the molar mass of water to say that the reaction will produce

0.029

moles H

2

O

18.015 g

1

mole H

2

O

=

0.52 g

−−−−−

The answers are rounded to two sig figs, the number of sig figs you have for the mass of aluminium hydroxide.

Explanation:

#ClaratheBrainlyQueen

Answer: 0.005 mol

Explanation:

Given information

Volume = 10 mL

Molarity = 0.5 mol / L

Given formula

Molarity = Mole / Volume

Convert volume unit to liters

1 L = 1000 mL

10 mL = 10 / 1000 = 0.01 L

Substitute values into the formula

Molarity = Mole / Volume

Mole = Molarity × Volume

Mole = (0.5) × (0.01)

Simplify by multiplication

[tex]\Large\boxed{Mole~=~0.005~mol}[/tex]

Hope this helps!! :)

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Carbonyl chloride, also called phosgene, was used in World War 1 as a poisonous gas. The equilibrium concentrations for the reaction between carbon dioxide and molecular chlorine to form carbonyl chloride

CO(g) + Cl2(g) <--> CoCl2(g)

are [CO] = 1.2 x 10-2 M, [Cl2] = 0.054 M, and [CoCl2] = 0.14 M. Calculate the equilibrium constant (K).







Group of answer choices

A. K = 4.63 x 10-3

B. K = 216

C. K = 2.56

D. K = 6.23 x 102

Answers

From the calculations, the equilibrium constant is 216. Option B

What is the equilibrium constant?

The equilibrium constant can depict the amount of reactants that is converted into products at a given time. We know that if thus number is large and positive, then it means that the reaction would proceed to the right.

Thus, we have the equation of the reaction as; CO(g) + Cl2(g) <--> CoCl2(g) and we know that;

K = [CoCl2]/ [CO]  [Cl2]

[CoCl2] = concentration of CoCl2

[CO] = concentration of CO

[Cl2] concentration of Cl2

Substituting the values into the equation;

K = 0.14/  1.2 x 10-2 *  0.054

K = 216

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complete the following table and calculate the decrease in the freezing point of water when 1 mol glycerol (CH3OH-CHOH-CH2OH), NaCI or Na2CO3 is dissolved in 1.00 kg of water

Answers

The decrease in the freezing point of the solution is −1.86oC.

What is the decrease in the freezing point?

Now we know that the freezing point depression of a solid is a colligative property of the solution.

Thus we have that;

ΔT = K m i

ΔT = freezing point depression

K = freezing constant

m = molality of the solution

i = Van't Hoff factor

Thus;

molality =  1 mol/1 Kg = 1 m

ΔT = −1.86oC/m * 1 m * 1

ΔT =−1.86oC

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How does the value of gravitationalacceleration change when the distancefrom the centre of the Earth increases? Read the excerpt below and answer the question.It was so crazy digging worms by lamp light and setting out for Lake Sabella after midnight that she felt likea child breaking rules. That's what made Janle like it. They caught two or three and got home just beforethe day. Then she had to smuggle Tea Cake out by the back gate and that made it seem like some greatsecret she was keeping from the town.Based on this excerpt from Their Eyes Were Watching God, readers can Infer that.Janle enjoys adventureJanie feels uncomfortable with Tea CakeJanie does not feel oppressed by Tea CakeJanie does not want to be judged by the townspeopleSelect all that apply. A skater can spin faster by pulling her arms closer to her body or spin slower by spreading her arms out from her body. This is due to?. What are some possible reasons why the percent recovery would turn out to be more than 100%? When taking radiographs using film, the white side of the film is always placed:________ A=5b=12c=10d=22a to the power of 2-c What is the total pressure exerted by a mixture of 48.0 grams of CH4 and 56.0 grams ofhydrogen gas when confined in a volume of 15.0 liters at 13C. Do the first three questions with Percise steps on how to do it Increasing the batch size on a resource with setups always increases the capacity of the resource. True or false?. Summary of chapter 9-13 in insignificant events in the life of a cactus How much energy is required to melt 20 g of water starting at 0 o C?(H vap = 2265 J/g, H fus = 334 J/g, c = 4.18 J/go C ) given a/b=8/7 and both are natural numbers PLEASE HELP AS SOON AS POSSIBLE!!After Sally completed her report she wanted to number the pages. She typed exactly 9 eights to number all the gapes in her report. How many pages were there in Sally's report? Twelve horses race in the local derby. how many ways could the horses finish in the top three places? write your answer as a fraction with factorials, then simplify. When planning a trip, you should have your vehicle serviced about ___ ahead of time. Which of the following tables represents a proportional relationship?InputInput Output72135491357Input Output54210751511020145Input Output184674102261014Input Output304567374451 A jet of water squirts out horizontally from a hole near the bottom of the tank, as seen in the figure.If the hole has a diameter of 3.13 mm, what is the height, h, of the water level in the tank? Assume that x = 1.33 m and y = 1.72 m. Find the diameter of this circle.a. sqrt 10b. 4c. 2d. 2 sqrt 5 Bacterial cells are capable of being transformed only under certain conditions. Bacteria that are in the particular physiological state to become transformed are called ________. You are at a music concert and a close friend of yours ( someone you have known most of your life and trust implicitly) hands you a powder that he has obtained. H