Which of the following do not have angular momentum? Choose all that apply: O A. A spinning planet O B. A boy sleeping in bed O C. A ball sitting in a garbage can O D. A Ferris wheel in motion​

Answers

Answer 1

Answer:

The answer is A and B

Explanation:


Related Questions

agine that you are just outside the International Space Station (ISS) orbiting Earth, working in space. You brought your speaker with you so you could listen to some music while you work. You find the right song, and you hit play. What do you hear? Write your response below in complete sentences. 3) Include the answers to these questions in your response: • Would you hear your music? • Why or why not?

Answers

Answer:

There is no atmosphere outside the space station, so there is nothing to vibrate, therefor there is no sound.you better install your earphones in your space suit.

Explanation:

Imagine that you are just outside the International Space Station (ISS) orbiting Earth, working in space. You brought your speaker with you so you could listen to some music while you work. You find the right song, and you hit play. What do you hear? Write your response below in complete sentences.

Include the answers to these questions in your response: •

Would you hear your music? •

Why or why not?

You need matter that can vibrate and finally vibrate your ear drum in order to transmit sound waves. that you hear

There is no atmosphere outside the space station, so there is nothing to vibrate, therefor there is no sound.you better install your earphones in your space suit.

You will hear no music as there is no sound in the space because there are no molecules to vibrate.

Why no sound in the space?

Sound is generally considered a form of energy that consists of mechanical waves which travel in a medium. Sound is produced by a vibrating body which generates a disturbance in the medium and the medium helps to propagate the sound.

The medium of sound transmission is air where the molecules in the air are in the form of longitudinal waves. The vibrating body generates a disturbance in the rarefaction and compression of waves. The disturbance of the particles of the surrounding medium produces sound.

Sound always requires a medium to be traveled and reach its destination. As space does not have any medium for sound to generate disturbance. Space has a vacuum due to which sound cannot be heard in space.

Therefore, you will hear no music when you play a song in the space.

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Which of the following solutions represents a good buffer system? a solution that is 0.10 mol L-1 NaOH and 0.10 mol L-1 KOH a solution that is 0.10 mol L-1 HCl and 0.10 mol L-1 NH4+ a solution that is 0.10 mol L-1 HF and 0.10 mol L-1 CH3COONa a solution that is 0.10 mol L-1 HCl and 0.10 mol L-1 KCl a solution that is 0.10 mol L-1 CH3COOH and 0.10 mol L-1 CH3COOLi

Answers

Answer:

chu papi

Explanation:

How many atoms are in mercury phosphate

Answers

Answer:

There are 95 atoms in mercury phosphate

Explanation:

You just add the atomic number for both elements

The heat of combustion of propane, C3H8 (g) is -2057 kJ/mol. What would be the enthalpy change if enough propane was burned to give off 12 moles of carbon dioxide gas

Answers

Considering the reaction stoichiometry, the enthalpy change if enough propane was burned to give off 12 moles of carbon dioxide gas is 8228 kJ.

The balanced reaction is:

C₃H₈(g) + 5 O₂(g) → 3 CO₂(g) + 4 H₂O(l)

The heat of combustion of propane, C₃H₈, is -2057 kJ/mol. This is, 2057 kJ is released for every 1 mol C₃H.

So to determine the enthalpy change if enough propane was burned to emit 12 moles of carbon dioxide, you must take into account the stoichiometry of the reaction.

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

C₃H₈: 1 mole O₂: 5 moles CO₂: 3 moles H₂O: 4 moles

Then you can apply the following rule of three: if by stoichiometry 3 moles of CO₂ are produced by 1 mole of C₃H₈, 12 moles of CO₂ are produced by how many moles of C₃H₈?

[tex]amount of moles of C_{3} H_{8} =\frac{12 moles of CO_{2}x1 mole of C_{3} H_{8} }{3 moles of CO_{2}}[/tex]

amount of moles of C₃H₈= 4 moles

So to determine the enthalpy change, you can apply the following rule of three: If for each mole of C₃H₈ 2057 kJ are released, for 4 moles of C₃H₈ how much heat is released?

[tex]Heat released=\frac{4 molesx2057 kJ}{1 mole}[/tex]

Heat released= 8228 kJ

The enthalpy change if enough propane was burned to give off 12 moles of carbon dioxide gas is 8228 kJ.

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Each of the following sets of quantum numbers is supposed
to specify an orbital. Which of the following sets of quantum
numbers contains an error?
A) n = 2, l = 1 , ml = -1
B) n = 4, l = 2, ml =0
C) n = 3, l =3 , ml = -2
D) n = 1, l = 0, ml =0
E) n = 3, l = 0, ml =0

Answers

Answer:

C

Explanation:

The azimuthal quantum number can take values from 0 to (n-1)

So in answer C n= 3, l can take values between 0

and 2.

l can't be 3.

ml can take values from -l to +l.

Hope you understood

All participants in the Genius dog challenge are border collies which some experts think are the what breed of dog?

Answers

As far as the intelligence of canines, it is widely accepted as a fact that the Border Collie is the most intelligent breed of dog.

The conclusion that border collies are the most intelligent breed of dog is credited to a canine psychologist by the name of Stanley Coren. He studied over 138 recognized breeds of dogs to measure the ease with which they learned new commands and the obedience rate of each breed.

Coren studies the learning and obedience of Border Collies over the course of 199 trials and found that this breed of dog performed 95% better than most other breeds, with only 9 of the 138 breeds studied coming close to the results of the border collie. Easily earning the title of the most intelligent breed of dogs.

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Which diagram best illustrates the difference between distance and
displacement?

Answers

Answer:

It is the one that has start and finish and a compass on it...I am sorry I can share images for some reason. And underneath the compass, it says 1.0 Mile. It also has a compass in the bottom right-hand corner.

Explanation:

I just took the quiz and got it correct!

Assume that the heat lost by the surface is gained by ethyl chloride. What enthalpies must you consider if you were to calculate the final temperature of the surface

Answers

Answer:

Specific heat of ethyl chloride in gas and liquid phases, enthalpy of vaporization and specific heat of solid surface.

Explanation:

In order to determine the final temperature, the heat lost by the chloride needs to be found. This would require the specific heat in both phases and the enthalpy of vaporization. (you will use q=mc(delta)T and q=m(delta)H)

Then the energy gained by the surface needs to be found. This will require the specific heat in order to use the q=mc(delta)T equation.

The enthalpies that we consider to calculate the final temperature of the surface are Specific heat of surface and ethyl chloride as well as Heat of vaporization of liquid & vapor ethyl chloride.

What is enthalpy?

Enthalpy of any reaction tells about the total amount of heat absrobed and released during a chemical reaction.

According to the question, heat released by the surface is absorbed by the ethyl chloride and by absorbing this energy ethyl chlorode will change into the vapor form. In the whole process if we want ot calculate the final temperature on the surface then we should consider:

Specific heat of surface.Specific heat of ethyl chloride.Heat of vaporization of liquid ethyl chloride.Heat of vaporization of vapor ethyl chloride

Hence, required enthalpies are Specific heat of surface and ethyl chloride as well as Heat of vaporization of liquid & vapor ethyl chloride.

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Potassium metal reacts with water according to the following balanced equation.
2 K(s) + 2 H2O(l) — 2 KOH(aq) + H, (8)
If one mole of potassium reacts in this manner, how many moles of water are consumed?

Answers

Answer: 1 mole

Explanation:

One mole reacts because there is a 1:1 ratio between the potassium and water at the beginning of the equation. 2K+2H2O has a 1 to 1 ratio. If one potassium reacts there is one h2o that also reacts.

Taking into account the reaction stoichiometry, if one mole of potassium reacts, 1 mole of water are consumed.

Reaction stoichiometry

In first place, the balanced reaction is:

2 K + 2 H₂O → 2 KOH + H₂

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

K: 2 moles H₂O: 2 moles KOH: 2 moles H₂: 1 mole

Moles of water consumed

The amount of water consumed is calculated from the following rule of three: if by stoichiometry 2 moles of K react with 2 moles of H₂O, 1 mole of K react with how many moles of H₂O?

[tex]amount of moles of H_{2} O=\frac{1 mole of Kx2 moles ofH_{2} O }{2 moles of K}[/tex]

amount of moles of H₂O= 1 mole

In summary, if one mole of potassium reacts, 1 mole of water are consumed.

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How are metals, metalloids, nonmetals grouped

Answers

no I will not please put you because that's the god of the Bible

Metals are good conductors of heat and electricity, and are malleable (they can be hammered into sheets) and ductile (they can be drawn into wire).

Nonmetals are (usually) poor conductors of heat and electricity, and are not malleable or ductile; many of the elemental nonmetals are gases at room temperature, while others are liquids and others are solids. 

The metalloids are intermediate in their properties.  In their physical properties, they are more like the nonmetals, but under certain circumstances, several of them can be made to conduct electricity.

hope this answer helped u, if u can pls mark me as the brainliest. :)

I. Indicate whether the following statements are true or false 1. The entropy of a fixed amount of an incompressible substance increases in every process for which temperature increase. A: True B: False 2. A closed system can experience a decrease in entropy only when there is heat transfer from the system to its surroundings during the process. A: True B: False 3. Entropy is produced in every internally reversible process of a closed system. A: True B: False 4. In an adiabatic and internally reversible process of a closed system the entropy remains constant A: True B: False 5. The entropy of a fixed amount of an ideal gas increases in every isothermal process A: True B: False 6. The energy of an isolated system must remain constant, but the entropy can only decrease A: True B: False 7. The entropy change of a closed system during a process can be greater than, equal to, or less than zero. A: True B: False

Answers

What equipment is generally used to make lyophilized medications suitable for administering to the patient? a) Test tubes or sterile ampules b) Petri dishes and sterile droppers c) Sterile syringes or graduated cylinders d) Measuring cups and clean, warm water

I will give brainlist

How much Ba(OH)2, in grams, is needed to make a 1.00m aqueous solution?

Answers

Answer:

We can say that we need 171 g barium hydroxide needed to make one model equals solution.

Explanation:

I hope this answered your question.

171 gram of  Ba(OH)2, in grams, is needed to make a 1.00 m aqueous solution.

What is mass?

Mass is the quantity of matter. The mass is calculated by the density divide by the volume.

In 1.00 solution, the mass of Ba(OH)2 is 171 gram.

Thus, the mass of Ba(OH)2 is 171 gram.

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A moon orbits in a roughly circular path around a planet with a mass of 8.6 x 1023 kg. The distance from the center of the moon to the center of the planet is 7.04 x 106 meters. Calculate the speed of the moon in m/s.

Answers

Explanation:

A moon orbits in a roughly circular path around a planet with a mass of 8.6 x 1023 kg. The distance from the center of the moon to the center of the planet is 7.04 x 106 meters. Calculate the speed of the moon in m/s.

Do you think sugar would be soluble in hexane based on its structure

Answers

Answer:

The dipole forces (particularly H-bonds) that keep polar solute molecules together can be replaced by polar solute-solvent interactions, so substances that are predominantly polar (like glucose) dissolve in polar solvents like water but not in nonpolar solvents like hexane (H-bonds).

Explanation:

what is another extraction that uses gravity filtration and describe it​

Answers

Answer -ˋˏ ༻༺ ˎˊ-

A common use for gravity filtration is for separating anhydrous magnesium sulfate (MgSO4) from an organic solution that it has dried (Figure 1.68b). Anhydrous magnesium sulfate is powdery, and with swirling in an organic solvent creates a fine dispersal of particles like a snow globe.

A gas has a volume of 1140 ml at 37 ºC and 620 mm Hg pressure. Calculate its volume at STP.

1.900
2.800
3.819
4.1000

Answers

Answer:

3. 0.819L (819 mL)

Explanation: Before we go about solving this, we need to do some conversions prior to using the gas law, the gas law is as follows...

P(atm)*V(L)=n(mol)*r(constant)*T(in kelvin)

So here are all the conversions you need.

620 mm Hg -> 0.816 atm

1140 mL -> 1.14 L

37 C -> 310.15 K

After plugging in our new converted values, we will proceed to solve the number of moles of the gas present, our n value, so our equation will look like this...(Note: Constant r in this case is 0.08206 L*atm/K*mol)

(0.816 atm)(1.14 L) = n(0.08206)(310.15)

Solving for n we get 0.03653 moles.

Now our second part is to figure out the volume AT STP (standard temperature/pressure). In the STP conditions, your temperature defaults to 0 C (273.15 K) and 1 atm. Now there is an easier way to do this, but I'll also show the more comprehensive way. Here is the easier method...

Since 1 mole of every gas occupies 22.4 L at STP, we can simply multiply this by our number of moles. So (22.4L)(0.3653 mol) to give us 0.818272.

However, a more accurate answer can be given like this...

Plugging n back into the same equation and this time resetting pressure to 1 atm and temperature to 273.15 K and conserving our number of moles we get...

(1 atm)(v) = (0.03653 mol)(0.08206)(273.15 K)

v = (0.03653)(0.08206)(273.15)

v = 0.8188 L = 0.819 L or 819 mL

What is inertia?(1 point)


A. a force that acts on an object at rest


B. the motion of an object


C. an object’s resistance to a change its motion


D. the speed and direction of an object in motion

Answers

Answer:

I think it's C. hope this helps:)

PLEASE ANSWER ASAP!!!
The movement of tectonic plates in two different locations is shown below:

Two blocks labeled Location A and Location B are shown. The block labeled A has a vertical line in the middle. On the left of the line there is an arrow pointing down. On the right of the vertical line there is an arrow pointing up. At Location B the top layer of the block shows two horizontal arrows pointing towards each other. The portion of this block on the right is shown moving down.
Which statement is most likely true?

Subduction occurs in both locations.

The magnetic orientation of rocks may change in Location A and subduction occurs in Location B.

Subduction occurs in Location A and the magnetic orientation of rocks may change in Location B.

Answers

Answer: its a and b

Explanation:its very simple and the reason is bc yea

Answer:

B

Explanation:

The answer is B because it said subduction i guess. And I got it right! Hope this helps to anyone that is looking at this!

How are sound and light similar? How are they different?

Answers

They are
Both forms of energy that travels in waves

They are different because:
Sound is a mechanical wave
Light is a transverse wave
Light is way faster
Sound has to travel through a medium (substance) but light is electro magnetic (meaning it doesn’t need to travel through anything and it can travel a vacuum e.g light travel in space)

Answer:

Sound requires a medium to move through; light does not.

Sound and light are similar in that both are forms of energy that travel in waves.

Explanation:

Sound and light are similar in that both are forms of energy that travel in waves. They both have properties of wavelength, freqency and amplitude. Sound can only travel through a medium (substance) while light can travel through empty space. Sound is a form of mechanical energy caused by vibrations of matter.

Light waves DO NOT require a medium, they travel fastest in empty space; Sound waves REQUIRE a medium, they travel fastest in dense material like solids. Sound is a longitudinal wave.

identify key concept/terminologies about solution or concentration of solution?

pls help me

thanks~​

Answers

Answer :

[tex] \: [/tex]

Concentration of Solutions

Recall that a solution consists of two components: solute (the dissolved material) and solvent (the liquid in which the solute is dissolved). The amount of solute in a given amount of solution or solvent is known as the concentration. The two most common ways of expressing concentration are molarity and molality.

Molarity

The molar concentration (M) of a solution is defined as the number of moles of solute (n) per liter of solution (i.e, the volume, V solution):

M = n / V solution

The units of molarity are mol/L, often abbreviated as M.

For example, the number of moles of NaCl in 0.123L of a 1.00M solution of NaCl can be calculated as follows:

[tex]0.123 \: l \: \: of \: solution \: \times \: \frac{1.00 \: mole}{1.00 \: l \: of \: solution \: } \: \\ = 0.123 \: moles[/tex]

Molality :

The molal concentration (m) of a solution is defined as the number of moles of solute (n) per kilogram of solvent (i.e., the mass of the solvent, msolvent):

[tex]m = \frac{n}{v \: solution} [/tex]

For example, the number of moles of NaCl dissolved in 0.123kg of H2O (the solvent), in order to make a 1.00m solution of NaCl, can be calculated as follows:

[tex]0.123 \: kg \: of \: solvent \: = \frac{1.00 \: mole}{1.00 \: kg \: of \: solvent \: } \\ = 0.123 \: moles[/tex]

Which of the following represents alpha decay?
O A. 169 Gd 108TB +_9e
B. 159 Eu + je → 189 Sm
150
-
C. 90T = 9T +
→ 43
O D. GO → 1945m + He
148

Answers

There are two modes in which unstable nuclei of radioactive elements may decay. They are by α - emission or by β - emission. Among the given options, the α - emission is ₆₄¹⁴⁸Gd → ₆₂¹⁴⁴Sm + ₂⁴He. The correct option is D.

What is α - decay?

According to the theory of radioactive disintegration, the atoms of all the radioactive elements undergo spontaneous disintegration with the emission of α or β particles to yield atoms of new elements. When a radionuclide decays by emitting an  α - particle, it is called α - decay.

When a radionuclide undergoes  α - emission, i.e. a helium nucleus there occurs a decrease of 2 units in the atomic number and a decrease of 4 units in the mass number. The new nuclide produced has an atomic number 2 units less and a mass number 4 units less than the parent.

₆₄¹⁴⁸Gd → ₆₂¹⁴⁴Sm + ₂⁴He represents α - emission.

Thus the correct option is D.

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Identify the general features of an amino acid. Which part is responsible for the unique properties of each amino acid

Answers

Answer:

Every amino acid also has another atom or group of atoms bonded to the central atom known as the R group. This R group, or side chain, gives each amino acid proteins specific characteristics, including size, polarity, and pH.

Explanation:

The R group is another atom or group of atoms that is attached to the core atom in every amino acid. This R group, or side chain, provides each amino acid protein with unique properties such as size, polarity, and pH.

Amino acids are chemical molecules that are used to construct proteins. Proteins are vital macromolecules in living organisms, serving a variety of functions including enzymatic catalysis, structural support, transportation, immunological response, and others. A polypeptide chain is formed by linking amino acids in a precise sequence, which subsequently folds into a three-dimensional structure to make a functioning protein.

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if 38 gr of water are produced in reaction, how many mole are CO2 are produced.​

Answers

0.86 moles of CO2 - i’m not sure if this is right but it should be something like that

For the formula shown, how many sulfur atoms are represented?

Answers

Answer:

Your answer would be 6

Answer:

1 it is 1

Explanation:

HELPP PLEASE
this is a weird place to ask but does anyone know a good physical science experimental project that the scientific method can be used on? with homemade materials that doesn’t take more than 2 days to do?

Answers

Experiment: Does it Dissolve?

Materials Needed:

4 clear, glass jars filled with plain tap waterFlourSalt Talcum or baby powderGranulated sugarStirrer

Step 1: Form a question before starting the experiment.

Step 2: Make a hypothesis for each substance.

Step 3: Scoop a teaspoon of each substance in the jars, only adding one substance per jar. Stir it up!

Step 4: Observe whether or not each substance dissolves and record the findings.

HELPP
explain the difference between molecular and empirical formulas. Which types of compounds are described by the terms formula mass and molecular mass. Use an example to show the steps in calculating the formula mass for K2CO3

Answers

Answer:

In the previous section, we discussed the relationship between the bulk mass of a substance and the number of atoms or molecules it contains (moles). Given the chemical formula of the substance, we were able to determine the amount of the substance (moles) from its mass, and vice versa. But what if the chemical formula of a substance is unknown? In this section, we will explore how to apply these very same principles in order to derive the chemical formulas of unknown substances from experimental mass measurements.

Explanation:

tally. The results of these measurements permit the calculation of the compound’s percent composition, defined as the percentage by mass of each element in the compound. For example, consider a gaseous compound composed solely of carbon and hydrogen. The percent composition of this compound could be represented as follows:

\displaystyle \%\text{H}=\frac{\text{mass H}}{\text{mass compound}}\times 100\%%H=

mass compound

mass H

×100%

\displaystyle \%\text{C}=\frac{\text{mass C}}{\text{mass compound}}\times 100\%%C=

mass compound

mass C

×100%

If analysis of a 10.0-g sample of this gas showed it to contain 2.5 g H and 7.5 g C, the percent composition would be calculated to be 25% H and 75% C:

\displaystyle \%\text{H}=\frac{2.5\text{g H}}{10.0\text{g compound}}\times 100\%=25\%%H=

10.0g compound

2.5g H

×100%=25%

\displaystyle \%\text{C}=\frac{7.5\text{g C}}{10.0\text{g compound}}\times 100\%=75\%%C=

10.0g compound

7.5g C

×100%=75%

A solution is prepared by dissolving 15.0 g of pure HC2H3O2 and 25.0 g of NaC2H3O2 in 775 mL of solution (the final volume). Incorrect answer icon Incorrect. Did you use the correct form of the H-H equation

Answers

that made me have a seizure

give some practical examples where prefixes are used

Answers

an example of a prefix is "re". this means "again". some examples of this include "retry" (to attempt again), "rehearse" (to practice for something you will later do again), and "reconsider" (to consider again).

What is the wavelength of a photon that will be emitted when an electron in the hydrogen atom moves from n

Answers

Answer:

Use the Rydberg Equation 1/λ = R(1/n²(final) - 1/n²(initial) where R = 109,678 cm⁻¹. Substitute initial orbital number and final orbital number and solve for wavelength (λ).

Explanation:

Example:

Assume an electron transition from n = 5 to n = 2.

1/λ = 109,678cm⁻¹(1/2² - 1/5²) = 109,678(0.25 - 0.04)cm⁻¹ = 23,032cm⁻¹

λ = 1/23,032cm⁻¹ = 4.34 x 10⁻⁵cm x 10⁻²m/cm x 10⁹nm/m = 434nm

What equipment is generally used to make lyophilized medications suitable for administering to the patient? a) Test tubes or sterile ampules b) Petri dishes and sterile droppers c) Sterile syringes or graduated cylinders d) Measuring cups and clean, warm water

Answers

Answer:

The answer is B

B = Petri dishes and sterile droppers

Explanation:

Other Questions
No links. Michelle has $1200 in her savings account if the bank pays 3% interest per year on savings how much interest does she earn in one year Which answer choice shows the number 5.16103 in standard form?A)0.00516B)0.000516C)5160D)51600 What is the value of y?09O 18O 3 I need help I dont understand this Compare the average motion of the particles in the 3 containers of water which of the following shows the correct order of steps needed to simplify 5+2(3-1) Alyssa fed her dog 2/3 cup of dog food in the morning and another 5/8 cup in the evening. How much did her dog eat over the course of the day? Write your answer as a mixed number Zach changes $575 into euros. He spends 45% of the euros in France. He changes the euros he does not use into pounds ()to spend in England. Workout how many pounds he receives.$1 = 0.88 euros1 pound = 1.15 euros Choose from one of the following prompts: (you may come up with your own if you chooseHuman beings are social creatures, so friends are an important part of anyones life. Describe the qualities and behaviors that make a person a good friend? Write an essay explaining three or four traits of a true friend. Use specific details and anecdotes from your own experiences.Certain things we go through shape who we are today. Describe your favorite memory of a happy event in your life. How did this help shape the person that you are today?Thinking about the future can be exciting and resourceful in helping us plan the path ahead. In your essay, describe what your life will look like in 5-7 years. You may include things like where you live, what career you have, what types of things you do in your spare time, and even how you ended up there.Things to keep in mind when drafting your essay:Your Essay needs to be completed in MLA format (MLA Guide)Your Essay should be at least 3 WELL-Written paragraphs longYou will be submitting a Rough Draft AND Final Draftplz help thx Solve the linear systems using multiplication 6x - 12y = 15;2x - 4y = 6 - What will a wave look like with high amplitude and long wavelength? A. Tall and narrow B. Short and narrow C. Tall and wide D. Short and wide find the measure of each angle indicated150 X + 124 Write a different title for the story, "The Duel." In a short essay, explain why your title is more appropriate. Read the sentence.When they had been choosing to go to the dude ranch, they did not know how far a drive it was from the airport.Which choice best corrects the tense shift by modifying the bolded verb phrase?A) are choosingB) chosenC) choseD) have chosen What is the answer to :2x (4+3) -5 x [4-(9-7)]?? write therequest on each sotuation use appropriate modals What stage of the writing process is the right one for fixing sentence fragments?A.writing the first draftB.prewritingC.reviewing your teacher's commentsD.revising or editing Find the missing number in the following series: __ 85 81 83 79 81 77 10Find the area of the shape.Either enter on exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.unitsShow Calculator As a bonus question on a test, Mr. Smith wrote 8z + (5y6w). He told his students the values of each variable: w=6, y=2, and z = 7. What is the simplification of Mr. Smith's expression?