What is Quick N' Dirty Rule #5 in organic chemistry, and how do polar protic and polar aprotic solvents differ in their favoring of E2 and SN2 reactions?

Answers

Answer 1

Quick N' Dirty Rule #5 in organic chemistry states that polar protic solvents favor E2 reactions while polar aprotic solvents favor SN2 reactions.

Polar protic solvents have a hydrogen atom bonded to an electronegative atom (e.g., O-H or N-H) and can form hydrogen bonds. These solvents stabilize the transition state and intermediates in E2 reactions through hydrogen bonding, leading to faster rates for E2 processes. Examples of polar protic solvents include water, methanol, and ethanol.

On the other hand, polar aprotic solvents lack a hydrogen atom bonded to an electronegative atom, and thus cannot form hydrogen bonds. These solvents favor SN2 reactions because they solvate the nucleophile less effectively than polar protic solvents, leaving the nucleophile more available to attack the substrate in an SN2 reaction. Examples of polar aprotic solvents include dimethyl sulfoxide (DMSO), acetonitrile, and acetone.

In summary, Quick N' Dirty Rule #5 indicates that polar protic solvents favor E2 reactions, while polar aprotic solvents favor SN2 reactions, due to their different abilities to form hydrogen bonds and solvate the nucleophile.

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Related Questions

Mr block student are studying chemical

Answers

Answer:

egg

Explanation:

man

How much heat is absorbed by a 112.5 g sample of water when it is heated from 12.5 °C to 9°C? (Specific heat capacity of water is 4.184 J/g °C)

Answers

Answer:

–1647.45 J

Explanation:

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

Mass (M) = 112.5 g

Initial temperature (T₁) = 12.5 °C

Final temperature (T₂) = 9°C

Specific heat capacity (C) = 4.184 J/g°C

Heat (Q) absorbed =?

Next, we shall determine the change in temperature. This can be obtained as follow:

Initial temperature (T₁) = 12.5 °C

Final temperature (T₂) = 9°C

Change in temperature (ΔT) =?

ΔT = T₂ – T₁

ΔT = 9 – 12.5

ΔT = –3.5 °C

Finally, we shall determine the heat absorbed. This can be obtained as follow:

Mass (M) = 112.5 g

Change in temperature (ΔT) = –3.5 °C

Specific heat capacity (C) = 4.184 J/g°C

Heat (Q) absorbed =?

Q = MCΔT

Q = 112.5 × 4.184 × –3.5

Q = –1647.45 J

Someone pls help me I will mark you as brain

Someone pls help me I will mark you as brain

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Answer:

1st one is the answer water cannot be purified by nature pls add me in brainliest

Select the element with the greatest metallic character.Select the element with the greatest metallic character.

Answers

The most metallic element must have the most negative reduction potental therefore, the most metallic element here is calcium.

What is a metal?

A metal belongs to the groups that appear at the left hand corner o the periodic table. These elements are often sonorous when struck and possess a characteristic lustre.

We must know that the most metallic element must have the most negative reduction potental. Hence, the most metallic element here is calcium.

Missing parts: Select the element with the greatest metallic character. Li, Al, Cs, Ca​

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how does one classify a nonsilicate mineral group?group of answer choicesnegatively charged ion or complex ionsilicon tetrahedrapositively charged ion or complex ion

Answers

It is a negatively charged ion or complex ion to classify a non-silicate mineral group.

Non-silicate minerals are those that don't contain oxygen as well as silicon. They could contain oxygen, but they cannot in the presence of silicon. Many of these minerals have been composed of elements such as carbon, oxygen, fluorine, sulphur, and others. Gold (Au), silver (Ag), platinum (Pt), Sulphur (S), copper (Cu), as well as iron are some examples (Fe).

The second option would be incorrect because silicon could not indeed be found in non-silicate minerals. Non-silicate minerals are classified into six types: oxides, sulphides, carbonates, sulphates, halides, as well as phosphates.

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can u fill in the blanks

particles in gas can _____

when u remove energy from particles they move ______ and the matter________​

Answers

1. Particles in gas can MOVE AROUND QUICKLY
2. When you remove energy from particles they move SLOWER and the matter CONTRASTS

If a piece of iron is weighed, allowed to go rusty, and weighed again, it has increased in mass.

Suggest the reason for the following observation

Answers

The mass is going to increase because the iron was combined with oxygen.

Why did the iron increase in mass?

We know that the mass of the object can be obtained by the use of a weighing balance. Again it is very important that we should bear in mind that what has happened here as the iron is rusting is actually a chemical change.

The ion was bale to combine with oxygen in the presence of moisture, Given the fact that the iron has combined with oxygen, we no longer have a pure iron hence the mass of the iron is definitely going to become increased.

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If a piece of iron is weighed, allowed to go rusty, and weighed again, it has increased in mass, this is because of the formation of rust.

What is Rusting?

Rusting is the slow oxidation of iron in the presence of oxygen and moisture that results in the creation of hydrated iron oxide. Rust is a brown coating that formed when iron and oxygen in the air combine, when moisture is present. Rust is a reddish-orange flaky material.

The metal surface is where rusting is most prone to happen since it is an oxidation process.

When rust forms, the mass of the iron object is increased by the mass of oxygen that has combined with some of the iron.

If a piece of iron is weighed, allowed to go rusty, and weighed again, it has increased in mass, this is because of the formation of rust.

\(Fe_{2} O_3.nH_2O\) - this will be the new composition and when you find the molar mass of this compound its obviously greater than Fe (Iron).

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A substance melting on the stove
is an example of a chemical
change
True
b. Flase
a.

Answers

Answer:

A. True hope this helped

A galvanic cell is powered by the following redox reaction:

4Fe3+(aq) + N2H4(aq) + 4OH−(aq) → 4Fe2+(aq) + N2(g) + 4H2O(l)

Answer the following questions about this cell. If you need any electrochemical data, be sure you get it from the ALEKS Data tab.

Write a balanced equation for the half-reaction that takes place at the cathode. Write a balanced equation for the half-reaction that takes place at the anode. Calculate the cell voltage under standard conditions. Round your answer to 2 decimal places. E^0=

V

N2 (g) + 4H2O (l) + 4e− → 4OH− (aq) + N2H4 (aq) −1. 16

Fe3+ (aq) + e− → Fe2+ (aq) 0. 771

Answers

The cell voltage under standard conditions is 1.93 V.

The half-reaction that takes place at the cathode involves the reduction of \(Fe^{3}\)+ to\(Fe^2\)+:

\(Fe^{3}\)+(aq) + e− →\(Fe^{2}\)+(aq)

The half-reaction that takes place at the anode involves the oxidation of N2H4 to N2:

\(N_{2} H4_{4}\)(aq) + 4OH−(aq) → \(N_{2}\)(g) + 4\(H_{2} O\)(l) + 4e−

To calculate the cell voltage under standard conditions, we need to find the standard reduction potential for the half-reactions and then use the Nernst equation.

The standard reduction potential for \(Fe^{3}\)+ to \(Fe^{2}\)+ is 0.771 V, and the standard reduction potential for the half-reaction involving the reduction of \(N_{2} H4_{4}\) to \(N_{2}\) is -1.16 V (this value is given in the problem statement). We apply the following formula to determine the cell voltage:

\(E^0\)_cell = \(E^0\)_cathode -\(E^0\)_anode

\(E^0\)_cell = 0.771 V - (-1.16 V) = 1.93 V

Therefore, the cell voltage under standard conditions is 1.93 V.

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An analyst needs to prepare a 13.4 mg/mL standard solution of some analyte in water. To do so, they weigh out ______ of the analyte into a ______ volumetric flask and dissolve to the mark in water.

Answers

The analyst would weigh out 13.4 mg of the analyte into a 10-mL volumetric flask and dissolve to the mark in water

This is because the concentration of the standard solution is 13.4 mg/mL, so if the analyst weighs out 13.4 mg of the analyte and dissolves it in a 10-mL volumetric flask, the resulting solution will have a concentration of 13.4 mg/mL.

If the analyst weighed out a different amount of the analyte or used a different size volumetric flask, the resulting solution would have a different concentration. For example, if the analyst weighed out 26.8 mg of the analyte and dissolved it in a 25-mL volumetric flask, the resulting solution would have a concentration of 10.72 mg/mL.

It is important to note that the analyst should use a clean, dry volumetric flask and weigh the analyte on a sensitive balance. The analyte should also be dissolved completely in the water before the volumetric flask is filled to the mark.

Therefore, the correct answer is (a) 13.4mg ; (b) 10mL

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determine the enthalpy change when 7.08g of Ag is obtained. use the abbreviated form of the unit in your answer.
2AgBr(s) -> 2Ag(s) + Br2(l) deltaH = -220kJ

Answers

2AgBr(s) ⇒ 2Ag(s) + Br₂(l) ΔH = -220kJ ⇒ for 2 mol Ag

mol Ag = 7.08 : 108 g/mol = 0.065

the enthalpy change = 0.065/2 x -220 kJ = -7.15 kJ

__________ is the process by which substances are broken down into simpler compounds.

Answers

Decomposition is the process by which substances are broken down into simpler compounds.

It involves the breakdown of complex molecules into smaller, more basic components through chemical or biological processes. These processes can include various mechanisms such as hydrolysis, oxidation, fermentation, or enzymatic reactions. Decomposition is a fundamental part of nutrient cycling and plays a crucial role in the recycling of organic matter in ecosystems.

The decomposition of carbonic acid in soft drinks, which can be represented by the chemical equation:

H₂CO₃ → H₂O + CO₂

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draw a lewis structure for each of the following molecules, and then use the vsepr theory to predict the molecular geometry of each:

a. scl2
b. pi3
c. cl2o
d. nh2cl
e. sicl3br
f. oncl\

Answers

a. The Lewis structure for SCl₂ is S-Cl-Cl with a lone pair on sulfur. The VSEPR theory predicts a bent or V-shaped molecular geometry.

b. The Lewis structure for PI₃ is P-I-I-I with two lone pairs on the central phosphorus atom. The VSEPR theory predicts a trigonal pyramidal molecular geometry.

c. The Lewis structure for Cl₂CO is O=C=Cl with no lone pairs. The VSEPR theory predicts a linear molecular geometry for Cl2CO.

d. The Lewis structure for NH₂Cl is H-N-Cl with two lone pairs on the nitrogen atom. The VSEPR theory predicts a trigonal pyramidal molecular geometry.

e. The Lewis structure for SiCl₃Br is Br-Si-Cl-Cl-Cl with no lone pairs. The VSEPR theory predicts a trigonal pyramidal molecular geometry.

f. The Lewis structure for ONCl is O=N-Cl with no lone pairs. The VSEPR theory predicts a linear molecular geometry.

To draw the Lewis structure, you need to determine the number of valence electrons for each atom in the molecule and then arrange them to form covalent bonds while fulfilling the octet rule (except for hydrogen, which follows the duet rule). Once the Lewis structure is determined, you can use the VSEPR theory to predict the molecular geometry based on the arrangement of electron pairs around the central atom.

In each case, the molecular geometry is determined by the number of bonding and lone pairs of electrons around the central atom. The VSEPR theory provides a model for predicting the shapes of molecules based on the repulsion between electron pairs.

The molecular geometries predicted by the VSEPR theory are as follows:

a. SCl₂: Bent or V-shaped

b. PI₃: Trigonal pyramidal

c. Cl₂CO: Linear

d. NH₂Cl: Trigonal pyramidal

e. SiCl₃Br: Trigonal pyramidal

f. ONCl: Linear

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draw a lewis structure for each of the following molecules, and then use the vsepr theory to predict
draw a lewis structure for each of the following molecules, and then use the vsepr theory to predict
draw a lewis structure for each of the following molecules, and then use the vsepr theory to predict
draw a lewis structure for each of the following molecules, and then use the vsepr theory to predict
draw a lewis structure for each of the following molecules, and then use the vsepr theory to predict

Arrange the following atoms in order from smallest to largest atomic radius: Be, Mg, Ca, and Ba. For Mg and Na, write Mg Na or Mg, Na.

Answers

The order from smallest to largest atomic radius is

Be < Mg < Ca < Ba, For Mg and Na, Mg has a smaller atomic radius than Na, so the correct answer is "Mg, Na".

The atomic radius generally increases down a group and decreases across a period in the periodic table. Going from Be to Ba, we are going down Group 2, which means the atomic radius increases. However, within a period, going from left to right, the atomic radius decreases.

The trend in atomic radius across a period is primarily due to increasing nuclear charge as you move from left to right, which attracts the electrons in the outermost energy level closer to the nucleus. This results in a smaller atomic radius.

On the other hand, down a group, the number of energy levels or electron shells increases, which shields the outermost electrons from the attractive force of the nucleus. As a result, the electrons can occupy energy levels farther from the nucleus, leading to an increase in atomic radius.

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In the equation, CH4+2O2 -> CO2 +2H2O , how many moles of H2O will be produced if 6.8 moles of O2 reacts completely with CH4?

Answers

Answer:

\(6.8 molH_2O\)

Explanation:

Hello there!

In this case, for this balanced chemical reaction about the combustion of methane, it is possible for us to inspect the 2:2 mole ratio of water to oxygen as given for their coefficients in the balanced chemical reaction.

In such a wat, given 6.8 moles of oxygen, we can easily obtain the produced moles of water by applying the aforementioned mole ratio as shown below:

\(6.8molO_2*\frac{2molH_2O}{2molO_2}\\\\6.8 molH_2O\)

Best regards!

What is the chemical formula for the conjugate base of perchloric acid hclo4? enter only the chemical formula for the conjugate base, not a reaction equation.

Answers

The chemical formula for the conjugate base of perchloric acid (HClO4) is ClO4-.

Perchloric acid is a strong acid that readily donates a proton (H+) in aqueous solutions. When it loses a proton, it forms its conjugate base, which is the species that remains after the acid has donated the proton.

In the case of perchloric acid (HClO4), the conjugate base is formed by removing the hydrogen ion (H+) from the acid molecule. The resulting species is called the perchlorate ion and is represented by the chemical formula ClO4-.

The perchlorate ion (ClO4-) carries a single negative charge due to the extra electron gained when the hydrogen ion is removed. This negatively charged species is stable and highly soluble in water.

It is worth noting that perchlorate ions are commonly found in various perchlorate salts, such as sodium perchlorate (NaClO4) or potassium perchlorate (KClO4). These salts are often used in analytical chemistry, explosives, and pyrotechnics due to their strong oxidizing properties.

Therefore, the chemical formula for the conjugate base of perchloric acid (HClO4) is ClO4-.

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Which (if any) of the following can be determined by knowing the number of electrons in a neutral element?

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The atomic number: The number of electrons in a neutral atom is equal to the atomic number. This is the unique identifier for an element on the periodic table.

2. The electron configuration: The arrangement of electrons in the electron shells can be determined based on the number of electrons. For example, if an element has 11 electrons, the electron configuration would be 2, 8, 1.

3. The chemical properties: The number of electrons determines an element's chemical behavior. Elements with a full outer electron shell (such as noble gases) tend to be stable and unreactive, while elements with incomplete outer shells (such as alkali metals) are more likely to react with other elements to achieve stability.

4. The charge of an ion: If an element gains or loses electrons, it becomes an ion. The number of electrons gained or lost determines the charge of the ion. For example, if an element with 17 electrons gains one more, it becomes an ion with a charge of -1.

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Which of the following is a qualitative physical property?
a. Alcohol is toxic to the liver
b. Aluminum reacts with oxygen to form aluminum oxide
c. Carbon is a solid black powder
d. Hydrogen’s boiling point is -259.9 degrees Celsius

Answers

Answer:

c

Explanation:

the rest are chemical properties

: Which type of line is shown on the map? isobar
isotherm
radar
humidity ​

: Which type of line is shown on the map? isobar isotherm radar humidity

Answers

The correct answer is isobar

Answer:

isobar

Explanation:

edge 23

SOIL IS CONSIDERED WHICH TYPE OF MIXTURE?

A. HOMOGENEOUS
B. COLLOID
C. HETEROGENEOUS
D. NONE OF THESE

Answers

\(\bold{Hello!}\\\bold{Your~Answer~Is~Below!}\)

______________________________

\(\bold{Meanings:}\)

  \(1.)~Homogenous~-~Particles~distributed~uniformly,~(Evenly.)\)

\(Ex:Vodka,~Steel,~Air,~Rain.\)

       

        \(\left[\begin{array}{ccc}O&o&O\\o&O&o\\O&o&O\end{array}\right]\)

\(2.)~Heterogenous~-~Particles~distributed~non~uniformly,~(Random.)\)

\(Ex:Cereal~in~milk,~Ice~in~soda,~Soil,~Blood.\)

     

       \(\left[\begin{array}{ccc}o&O&O\\O&o&o\\O&o&o\end{array}\right]\)

\(3.)~Colloid~-~This~mixture~is~made~up~of~particles~that~can~not~be~seperated.\)  

\(Ex:Milk,~Fog,~Shampoo,~Rubber.\)

______________________________

\(\bold{Answer:}\)

\(\bold{Soil~is~considered~a~heterogeneous~mixture}\\\bold{becuase~there~are~so~many~compontents~that~make~up~soil,~and~none~}\\\bold{of~them~are~ordered~evenly.}\\\\\bold{So~your~answer~is~\boxed{C.}}\)

______________________________

\(\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}\)

A calcium ion will commonly lose 2 electrons to form an ion. When a calcium (Ca) ion is formed, what is its charge and why?

A calcium ion will form a [ 1+ OR 1-] charge because it will have...

-more neutrons than electrons
-more electrons than protons
-more protons than electrons ​

Answers

Answer:

A calcium ion will form a 1+ charge because it will have more protons than electrons.

Explanation:

Electrons have negative charges

Protons have positive charges

Calcium likes to lose its extra electron to achieve an octet outer shell and be "happy".

Select all of the following molecules that are capable of acting as hydrogen bond donors Group of answer choices Hydrogen fluoride (H-F) Hydrogen bromide (H-Br) Ammonia (NH3) Difluoromethane (CH2F2) Ethanol (CH3CH2OH) Water (H2O) Diethyl ether (CH3CH2-O-CH2CH3) Formaldehyde (H2-C

Answers

Hydrogen bonding is a sort of intermolecular bonding that takes place when a hydrogen atom is covalently bonded to a highly electronegative atom, such as nitrogen, oxygen, or fluorine.

As a result of the electronegativity difference, the hydrogen atom acquires a partial positive charge, whereas the electronegative atom acquires a partial negative charge. Hydrogen bonds are created between these oppositely charged regions and are weaker than covalent bonds but stronger than van der Waals interactions. The presence of a hydrogen bond donor and a hydrogen bond acceptor is necessary for hydrogen bonding to occur.

A hydrogen bond donor is a molecule that has a hydrogen atom bonded to a highly electronegative atom and is capable of forming hydrogen bonds, whereas a hydrogen bond acceptor is a molecule that is capable of forming hydrogen bonds with a donor molecule's hydrogen atom. Out of the provided molecules, the following are capable of acting as hydrogen bond donors: Ammonia (NH3)Ethanol (CH3CH2OH)Water (H2O)Formaldehyde (H2-C=O)

In conclusion, molecules capable of acting as hydrogen bond donors are Ammonia, Ethanol, Water, and Formaldehyde.

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What would be the effect of placing the macrocapsule in 4 mL of 1 M NaOH instead of 2 mL of 1 M. NaOH as described in the procedure? a Time for color change will double b Time for color change will not change c Time for color change will reduce by 1/4 d Time for color change will reduce by half

Answers

The effect of placing the macrocapsule in 4 mL of 1 M NaOH instead of 2 mL of 1 M NaOH as described in the procedure is that the time for color change will not change.

Macrocapsules are capsule-shaped macroscopic entities that are typically used for long-term applications. They are produced by the solidification of the polymer solution around the cell-culture area. The factors influencing the rate of diffusion of enzymes from the macrocapsule to the environment are the membrane thickness, the pore size of the membrane, and the concentration of the enzyme. Therefore, it is clear that if the volume of the NaOH solution is changed from 2 mL to 4 mL, there will be no effect on the reaction rate, and the time for the color change will not change. Hence, the correct option is b) Time for color change will not change.

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which of the following should not be done when sterilizing lab equipment using ethanol and a flame? select one: a. keep the alcohol as far from the flame as possible b. hold the tool being sterilized tip down c. hold the tool being sterilized tip up d. both a and c

Answers

The correct option is D as when sterilizing laboratory equipment with ethanol and a flame, neither option A nor option C should be done.

To reduce the chance of accident or fire when sterilizing lab equipment using ethanol and flame, it is important to follow the correct safety procedures. It is important to keep the alcohol completely away from the flame, not just as far away as possible. When exposed to an open flame, even small amounts of vapor from ethanol can catch fire.

It is also unwise to point the tip of the sterilizing tool upwards as given in option C. Any leftover ethanol may collect at the tip of the tool if it is held with the tip up, which increases the chance of flaring or igniting when it comes in contact with the alcohol.

Therefore, the correct option is D.

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What happen Ii a cloud of gas is placed between a hot metal and a detector an

Answers

When a cloud of gas is placed between a hot metal and a detector, the hot metal emits radiation, which passes through the gas cloud.

If a cloud of gas is placed between a hot metal and a detector, it can have different effects depending on the gas and the specific conditions. If the gas is dense enough and has high thermal conductivity, it can act as a heat sink and transfer some of the heat from the metal to the detector, resulting in a decrease in the temperature of the metal and an increase in the temperature of the detector. If the gas is transparent to the radiation emitted by the hot metal, then the detector may not detect any change in radiation. However, if the gas is not transparent to the radiation, it can absorb some of the radiation emitted by the hot metal, leading to a decrease in the amount of radiation detected by the detector. Additionally, the properties of the gas, such as its density, composition, and pressure, can affect the way it interacts with the hot metal and the detector. For example, if the gas is ionized, it can create an electric field that affects the behavior of the charged particles emitted by the hot metal.

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Some processes for making coffee leave tiny particles of ground coffee beans suspended in the coffee when it is served. Can these particles be considered a solute if they are evenly distributed throughout the cup of coffee? Explain.

Answers

Answer:

b

Explanation:

answers to student exploration : stoichometry (GIZMOS) WORTH 100 POINTS AND BRAINLIEST

Answers

I hate stoichiometry. I will help you but I need to know the question first.

(Help if you know) What is one way land helps reduce the force of a hurricane as it moves inland?
A) land stabilizes the sediment forced on shore
B) Land filters the water forced up from the sea by the wind
C) Land acts as a bumpy surface that absorbs wind power
D) land absorbs the rainwater

Answers

i’m pretty sure it’s C bc the more bumpy the land is the slower the hurricane goes

Radio waves are primarily used to

Answers

Answer:

Radio is used primarily for communications including voice, data and entertainment media.

Orbital structure of sodium?

Answers

Answer:

na.

sodium

11( 2,81,)

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Esta maana (saber, yo) ... lo mal que lo ests pasando. n organizations, the key to conflict management is: a. to discourage functional conflict. b. to enhance creativity of the workforce. c. to divert energy from work. a recovering alcoholic who hasn't had a drink in more than a year, tony still sometimes craves a drink when he sees a beer commercial on television. this craving is likely due to: group of answer choices Which is a TRUE statement about the transformation shown?A The graph shows a dilation, and the pre-image and image are similar.B The graph shows a translation, and the pre-image and image are congruent.C The graph shows a reflection, and the pre-image and image are congruent.D The graph shows a translation, and the pre-image and image are similar. What characteristics were prized in depicting human form in sculpture of the classical period? Bacteria in your body outnumber your cells 10 to one.True or false 1/2+2/31/2identify the learner's misconceptions analyse the answer All tabby cats in Imagineville have white paws. A female cat in Imagineville has white paws. Which of the following must be true? If a lumber company, a shipping company, a paper mill and an office supply store combined to form one corporation, thiswould be an example of...A multinational merger.B horizontal merger.C vertical merger.D cooperative _____ is a legal principle that ensures that previous judicial decisions are considered when settling similar future cases.Precedent Problem The beginning of a free space bitmap after the disk partition is first formatted looks like this: 1000 0000 0000 0000 (the first block is used by the root directory). Using a contiguous allocation approach, the system always searches for free blocks starting at the lowest-numbered block, so after writing file A, which uses five blocks, the bitmap looks like this: 1111 1100 0000 0000 0000. Show the bitmap after each of the following additional actions: a) File B is written, using six blocks b) File A is deleted c) File C is written using 7 blocks d) File B is deleted e) File D is written using 4 blocksPrevious question jessica does not notice when her father leaves the day care center and ignores him when he returns. jessica's behavior is characteristic of_______ attachment. What is the pOH of 0.074 M HI(aq) at 25 C? (Kw = 1.01 10^-14)? a) 11.40 b) 2.60 c) 12.87 d) 1.13 e) 15.13 a.write an equation to model the relationship b.explain how you know if an equation or a graph represents a proportional relationship the expression =sum([invoiceamt]) might be found in which type of control added to a form? to test the hypothesis that the mean wrist extension for people using this new mouse design exceeds 18 degrees, which test should be used?