what width single slit will produce first-order diffraction minima at angles of ± 21 ∘ from the central maximum with 700 nm light?

Answers

Answer 1

A single slit with a width of approximately 3.50 μm will produce first-order diffraction minima at angles of ±21 degrees from the central maximum with 700 nm light.

To calculate the width of a single slit that produces first-order diffraction minima at angles of ±21 degrees from the central maximum, we can use the formula for single-slit diffraction:

sin(θ) = mλ / w

where θ is the angle of the diffraction minimum, m is the order of the minimum (in this case, m = 1 for first-order), λ is the wavelength of light, and w is the width of the slit.

Given that θ = ±21 degrees (which should be converted to radians for the calculation) and λ = 700 nm (which should be converted to meters), we can rearrange the formula to solve for w:

w = mλ / sin(θ)

Substituting the values:

w = (1)(700 nm) / sin(21 degrees)

Note: Conversion to radians is necessary for the trigonometric function.

Using the conversion factor: 1 degree = π/180 radians,

w = (1)(700 × \(10^{-9}\)m) / sin(21 × π/180 radians)

Evaluating this expression gives the width of the single slit:

w ≈ 3.50 × \(10^{-6}\) meters or 3.50 μm

Therefore, a single slit with a width of approximately 3.50 μm will produce first-order diffraction minima at angles of ±21 degrees from the central maximum with 700 nm light.

Learn more about diffraction minima, here:

https://brainly.com/question/32611591

#SPJ12


Related Questions

Match up the characteristics below with the type of molecular bond they describe. Bonds found in Halite (between Na+ and Cl-) Bonds found between Si and O in the Si-O tetrahedron Bonds inside the water molecule (between the H and O ) Bonds that exist between two water molecules Strongest bond type Weakest bond type Bonds that are used by water to dissolve sal

Answers

The characteristics and the type of molecular bond they describe:

1. Bonds found in Halite (between Na⁺ and Cl⁻): Ionic bond

2. Bonds found between Si and O in the Si-O tetrahedron: Covalent bond

3. Bonds inside the water molecule (between the H and O): Covalent bond

4. Bonds that exist between two water molecules: Hydrogen bond

5. Strongest bond type: Covalent bond

6. Weakest bond type: Van der Waals bond

7. Bonds that are used by water to dissolve salt: Ionic bond

The ionic bond is a type of molecular bond found in halite (between Na⁺ and Cl⁻). The Si-O tetrahedron is held together by a covalent bond. The bond inside the water molecule (between the H and O) is also a covalent bond. The hydrogen bond is the type of bond that exists between two water molecules. The covalent bond is the strongest bond type, while the van der Waals bond is the weakest bond type. Water uses the ionic bond to dissolve the salt.

Learn more about bonds: https://brainly.com/question/32306693

#SPJ11

g Vulcanization of rubber results in _______ between the neighboring chains of the polymer. hydrogen bonding salt bridges phosphide bridges disulfide bridges none of these

Answers

Vulcanization of rubber results in disulfide bridges between the neighboring chains of the polymer which is option D

Vulcanization is the process of treating rubber with sulfur or other chemicals to improve its strength, durability, and elasticity. During vulcanization, sulfur atoms react with the rubber molecules to form cross-links or bridges between neighboring chains of the polymer. These cross-links help to stabilize the rubber and prevent it from melting or degrading at high temperatures or under stress.

Disulfide bridges, formed by the reaction between two sulfur atoms, are the most common type of cross-link in vulcanized rubber. They are strong, covalent bonds that can withstand a lot of force and strain, making the rubber more resilient and resistant to wear and tear. Hydrogen bonding, salt bridges, and phosphide bridges are other types of chemical bonds that can form between polymer chains, but they are not typically involved in the vulcanization process.

Therefore, the correct answer to the question is disulfide bridges, option D.

To know more about Vulcanization click on below link :

https://brainly.com/question/31640287

#SPJ11

1. how many molecules of phosphorus pentachloride are present in 8.70 grams of this compound ? molecules.

Answers

There are approximately 2.52 x 10^22 molecules of phosphorus pentachloride present in 8.70 grams of this compound.

As per the question given,  

To determine the number of molecules of phosphorus pentachloride present in 8.70 grams of this compound, we need to use the following steps:

Determine the molar mass of PCl5, which is the sum of the atomic masses of one mole of P and five moles of Cl:

M(P) = 30.97 g/mol

M(Cl) = 35.45 g/mol

M(PCl5) = 30.97 + 5(35.45) = 208.23 g/mol

Convert the given mass of PCl5 to moles using its molar mass:

moles of PCl5 = 8.70 g / 208.23 g/mol = 0.0418 mol

Convert the number of moles of PCl5 to molecules using Avogadro's number, which is 6.022 x 10^23 molecules/mol:

molecules of PCl5 = 0.0418 mol x 6.022 x 10^23 molecules/mol = 2.52 x 10^22 molecules

For such more questions on Molecules

https://brainly.com/question/475709

#SPJ4

Read the statement and identify whether it is a Chemical Change, Physical Change, or Both. Answer the following questions Chemical (A), Physical (B) or Both (C).

Eating and digesting cheese pizza.

Answers

Explanation:

Eating and digesting cheese pizza is a Chemical Change because it is an irreversible reaction. It can't be undone.

The formation of large, repetitive organic molecules from small monomers is a/an __________ reaction.

Answers

The formation of large, repetitive organic molecules from small monomers is a/an polymerization reaction.

In chemistry the reaction that produces a larger chain of organic molecules from small molecules called monomers is known as a polymerization reaction.

The general name of the substances formed by a polymerization reaction is called polymer.

What is a monomer?

In chemistry the small organic molecule that forms a polymer with the addition of other equal small molecules is called a monomer.

Learn more about monomer at: brainly.com/question/1600459

#SPJ4

The formation of large, repetitive organic molecules from small monomers is a/an __________ reaction.

Which of the following metals would be the best one to use as sacrificial anode to inhibit the corrosion of iron by cathodic protection? OPt O Ag O Cu O Au O Mg

Answers

Among the given options, the best metal to use as a sacrificial anode for inhibiting the corrosion of iron by cathodic protection is magnesium (Mg).

The best metal to use as a sacrificial anode for cathodic protection to inhibit the corrosion of iron is magnesium (Mg).

In cathodic protection, a more reactive metal is used as a sacrificial anode to protect a less reactive metal from corrosion. The sacrificial anode undergoes corrosion instead of the protected metal, thereby providing protection.

Magnesium is more reactive than iron, copper, silver, and gold, which makes it an effective sacrificial anode. When connected to iron, magnesium will corrode preferentially, sacrificing itself to protect the iron from corrosion.

To learn more about magnesium

https://brainly.com/question/30333465

#SPJ11

Which of the elements shown has an atomic mass of 20 amu?

A) A
B) B
C) C
D) D

Which of the elements shown has an atomic mass of 20 amu?A) AB) BC) CD) D

Answers

The elements shown have an atomic mass of 20 amu is Neon.

What is atomic mass?

The atomic number of an atom is its total number of protons and neutrons.

Neon has an atomic mass of about 20 this isotope contains 10 protons and 10 neutrons.

Actually, Neon would be listed as having an atomic mass of about 20.18 because of a mixture of isotopes.

Z= Atomic number the number of protons in the nucleus which defines the element.

In this case,  Z=10 and this means neon but there are also 10 neurons in the nucleus of the major isotope which gives it 20Ne.

Hence, option D is the correct answer.

Learn more about the atomic mass here:

https://brainly.com/question/11673503

#SPJ2

Why are metals used within most electronic devices and wires? In three to five sentences, apply your knowledge of conductivity to explain.

Answers

Answer: Metals are used in most of the electronic devices and wires because of their excellent conductivity, ductility and malleability properties.

Explanation: Metals are used in almost all electronic devices and wires due to the given reasons:

1)Metals are highly ductile i.e. they can be easily drawn into fine wires or segments, which makes them highly favorable for use in the electronics industry where wires are in great demand.

2)Metals are conductors by nature. Their atomic structure allows them to pass electricity through them which allows for easy transfer of current in almost all electronic devices.

3)Metals possess the property of malleability where they can be easily beaten down into thin sheets or planks which make them highly favorable for use in a variety of electronic goods.

Metals are good conductors:

https://brainly.in/question/10800559

Also For more information on properties of metal ,refer-

https://www.open.edu/openlearn/science-maths-technology/chemistry/what-metal/content-section-4

What sublevel has five orbitals?

What sublevel has five orbitals?

Answers

Answer:

Explanation:

Option D is the correct answer

Answer:

3d

Explanation:

answer D

From what are chemical sedimentary rocks formed?

Answers

Answer:

oolitic limestone and rocks composed of evaporite minerals, such as halite (rock salt), sylvite, baryte and gypsum.

Explanation:

Helppppppp pleaseeeeee!

Helppppppp pleaseeeeee!

Answers

The correct statement describing the transfer of energy that occurs as the golf club hits the ball is option D: The kinetic energy of the club decreases, and the kinetic energy of the ball increases.

When a golfer swings a club and hits the ball, the club's kinetic energy is transferred to the ball, resulting in the ball's kinetic energy increasing. According to the Law of Conservation of Energy, energy cannot be created or destroyed, only transferred from one form to another. In this case, the kinetic energy of the club is transferred to the ball, causing the ball to move with greater velocity.

During the collision between the club and the ball, some of the kinetic energy of the club is lost due to factors such as friction and deformation of the club and ball. This loss of kinetic energy is why the kinetic energy of the club decreases. However, the kinetic energy of the ball increases, resulting in the ball being propelled forward with greater speed.

Therefore, option D correctly describes the transfer of energy that occurs as the golf club hits the ball.

To know more about kinetic energy , visit :

https://brainly.com/question/26472013

#SPJ1

Fluorine is the most electronegative element on the periodic table, which means that, in an ionic bond, fluorine will always
(1 point)
o share electrons unequally with other elements.
o give electrons away to other elements.
O pull electrons away from other elements.
O share electrons equally with other elements.

Answers

Answer:

Forming bonds releases energy and is exothermic.

pull electrons away from other elements

Explanation:

the more electronegative an element is the more greedy it is for electrons, florine has a score of 3.98 which is the highest on the table. Meaning that it will always take the electrons from the other element

hope i could help.

Fluorine is the most electronegative element on the periodic table, which means that, in an ionic bond, fluorine will always pull electrons away from other elements.

What is an ionic bond?

Ionic bond or electrovalent bond is a type of bond which is formed between two elements when there is an exchange of electrons which takes place between  the atoms resulting in the formation of ions.

When the atom looses an electron it develops a positive charge and forms an ion called the cation while the other atom gains the electron and develops a negative charge  and forms an ion called the anion.

As the two atoms are oppositely charged they attract each other which results in the formation of a bond called the ionic bond.Compound with ionic bonds are hard , brittle and good conductors of electricity.

Learn more about ionic bond,here:

https://brainly.com/question/11527546

#SPJ2

What is the mass of 1.6x10^20 molecules of carbon monoxide?

Answers

We need to find the mass of 1.6x10^20 molecules of carbon monoxide

First, we must find the number of mol in the 1.6x10^20 molecules

For this, we need to use the avogadro's number ( 6.02*10^23 )

\(1.6\cdot10^{20}\cdot\frac{1\text{mol}}{6.02\cdot10^{23}}=2.66\cdot10^{-4}\text{mol}\)

Then, we must calculate the molar mass of carbon monoxide

M(CO) = 12 g/mol + 16 g/mol = 28 g/mol

Finally, we must multiply the number of mol by the molar mass to find the mass

\(2.66\cdot10^{-4}mol\cdot28\frac{g}{mol}=7.448\cdot10^{-3}g=0.007448g\)

ANSWER:

0.007

the scientific advances made by louis pasteur helped to â€"":______.

Answers

The scientific advances made by Louis Pasteur helped to revolutionize the fields of microbiology and medicine.

Louis Pasteur's discoveries in microbiology and immunology led to significant improvements in public health and disease prevention. His germ theory of disease established that many illnesses were caused by microscopic organisms, and he developed methods of pasteurization and sterilization to kill harmful bacteria and prevent contamination. Pasteur also created vaccines for several diseases, including rabies and anthrax, which have saved countless lives. His contributions to science and medicine continue to impact our understanding and treatment of infectious diseases today.
The scientific advances made by Louis Pasteur helped to "improve public health and revolutionize the field of microbiology."

Learn more about Louis Pasteur

https://brainly.com/question/11137072

#SPJ11

Energy removal is illustrated in. A. Changing water ice to waterB. Changing water to steamC. Boiling of gasolineD. Evaporation of sea water

Answers

Answer:

D. Evaporation of sea water

Explanation:

Please help with this (number 10 btw)

Please help with this (number 10 btw)

Answers

Answer:

The answer for the question is True I think

i believe it’s true as well :)

PLEASE HELP: Explain why most substances are carbon compounds?

Answers

Answer:

The reason is carbon's ability to form stable bonds with many elements, including itself. 

Explanation:

This property allows carbon to form a huge variety of very large and complex molecules. In fact, there are nearly 10 million carbon-based compounds in living things!

Answer:

Explanation:

The reason is that carbon is able to form stable bonds with many elements, including itself, which allows carbon to form a huge variety of very large and complex molecules.

What mass is grams of potassium chloride is produced if 2.4 moles of potassium chlorate decompose according to the following equation? heat 2KC10;(s)– 2KCI(s) + 30,(g)

Answers

The mass of potassium chloride produced when potassium chlorate decomposes in this instance is 178.92 g.

How to find the mass ?

The balanced chemical equation is:

2KClO3(s) → 2KCl(s) + 3O2(g)

From the equation, we can see that 2 moles of KClO3 produce 2 moles of KCl. Therefore, 1 mole of KClO3 produces 1 mole of KCl.

Given that 2.4 moles of KClO3 decompose, the amount of KCl produced will also be 2.4 moles.

Now, we need to find the mass of KCl produced, using the molar mass of KCl:

KCl: K = 39.10 g/mol, Cl = 35.45 g/mol

Molar mass of KCl = 39.10 + 35.45 = 74.55 g/mol

Mass of KCl produced = number of moles x molar mass

Mass of KCl produced = 2.4 moles x 74.55 g/mol = 178.92 g

Find out more on mass produced at https://brainly.com/question/15148249

#SPJ1

stoichiometry
2Al+3H2SO4 > Al2(SO4)3 + 3H2
How many grams of aluminum sulfate would be formed if 250 g H2SO4 completely reacted with aluminum

Answers

Answer:

2Al + 3H2SO4 → Al2(SO4)3 + 3H2

3mol H2SO4 produce 1 mol Al2(SO4)3\

Molar mass H2SO4 = 98 g/mol

Mass 3 mol H2SO4 = 98 g/mol * 3 mol = 294 g

Molar mass Al2(SO4)3 = 342 g/mol

294 g H2SO4 produce 342 g Al2(SO4)3

250 g H2SO4 will produce 250 g / 294 g * 342 g Al2(SO4)3 = 291 g Al2(SO4)3

What is Ca, Cu, Cl, Cs

Answers

Answer:

Ca - calcium

Cu - copper

Cl - chlorine

Cs - cesium

Explanation:

If you have half a mole of octane (c8h18), how much water is produced? 2c8h18 + 25o2 --> 16co2 + 18h2o

Answers

Answer:

4.5 moles H₂O

       or

81.072 g H₂O

Explanation:

I am not exactly sure whether you want moles H₂O or grams H₂O. So, I'll calculate both. To find the moles H₂O, you'll need to covert moles C₈H₁₈ to moles H₂O via the mole-to-mole ratio from the reaction coefficients. To find the grams H₂O, you need to convert moles H₂O to grams H₂O via the molar mass.

2 C₈H₁₈ + 25 O₂ ---> 16 CO₂ + 18 H₂O

0.5 mole C₈H₁₈          18 moles H₂O
-----------------------  x  -------------------------  = 4.5 moles H₂O
                                  2 moles C₈H₁₈

Molar Mass (H₂O): 2(1.008 g/mol) + 16.00 g/mol

Molar Mass (H₂O): 18.016 g/mol

4.5 moles H₂O         18.016 g
----------------------  x  ----------------  =  81.072 g H₂O
                                  1 mole

In two or more complete sentences describe the relationship between traits, genes, chromosomes and DNA?

Answers

Answer:

Chromosomes threads of DNA that make up a twisty, coiled shape. DNA strands carry genes, and traits are influenced by the genes that people get from their biological parents.

Explanation:

I got this from goggle ...

In two or more complete sentences describe the relationship between traits, genes, chromosomes and DNA.

Chromosomes threads of DNA that make up a twisty, coiled shape. DNA strands carry genes, and traits are influenced by the genes that people get from their biological parents.

What properties of a gas cause pressure?

Answers

Answer:

Explanation:

The properties of a gas that cause pressure are the fast and random movement of gas particles and their collisions with the walls of the container. The particles' speed and density play a role in determining the pressure exerted by the gas. When gas particles move quickly and collide frequently with the container walls, they create a force that we feel as pressure.


hope it helps!!

As the number of molecules decreases, the pressure also decreases. Pressure is an essential property of gases as it helps in understanding their behavior, and scientists use it to study different aspects of gas.

The properties of a gas that causes pressure are mainly its temperature, volume, and the number of molecules present

What is pressure?Pressure is defined as the measure of the force exerted by the molecules of a gas per unit area of the container walls. The gas exerts pressure when the molecules of the gas collide with the walls of the container they are placed in.What are the factors that cause pressure?There are different factors that cause pressure, but the properties of the gas play the most crucial role. These properties include:Temperature: As the temperature of the gas rises, the molecules of the gas move faster and collide more with the walls of the container, causing the pressure to increase.Volume: The amount of space that the gas occupies has a significant effect on its pressure. As the volume of the gas decreases, the molecules collide with the container walls more frequently, leading to higher pressure.Number of molecules: The more molecules present in a container, the higher the number of collisions with the container walls, and the greater the pressure. As the number of molecules decreases, the pressure also decreases.Pressure is an essential property of gases as it helps in understanding their behavior, and scientists use it to study different aspects of gas.

To know more about molecules visit :

brainly.com/question/32298217

#SPJ11

strontium-90 is a byproduct in nuclear reactors fueled by the radioisotope uranium-235. the of is 28.8 yr. what percentage of a strontium-90 sample remains after 60.0 yr?

Answers

The percentage of a strontium-90 sample that remains after 60.0 years is 3.14%.

It is given that strontium-90 is a byproduct in nuclear reactors fueled by the radioisotope uranium-235. The half-life of strontium-90 is 28.8 years.

To calculate the percentage of a strontium-90 sample that remains after 60.0 years, we can use the formula for half-life:

Amount remaining = Initial amount x (0.5)^(time/half-life)Let us assume that the initial amount of strontium-90 is 100 grams. Then, after one half-life, the amount remaining would be:

Amount remaining = 100 x (0.5)^(28.8/28.8) = 50 gAfter two half-lives (i.e. 57.6 years), the amount remaining would be:Amount remaining = 100 x (0.5)^(57.6/28.8) = 25 gAfter three half-lives (i.e. 86.4 years), the amount remaining would be:Amount remaining = 100 x (0.5)^(86.4/28.8) = 12.5 gAfter four half-lives (i.e. 115.2 years), the amount remaining would be:Amount remaining = 100 x (0.5)^(115.2/28.8) = 6.25 gAfter five half-lives (i.e. 144 years), the amount remaining would be:Amount remaining = 100 x (0.5)^(144/28.8) = 3.13 g

Therefore, the percentage of a strontium-90 sample that remains after 60.0 years is approximately 3.14%.

Summary: After calculating using the formula for half-life, we get the answer that the percentage of a strontium-90 sample that remains after 60.0 years is approximately 3.14%.

Learn more about strontium click here:

https://brainly.com/question/1581557

#SPJ11

The diagram shows a solid object with a mass of 120 grams. Density (D = m/v) can be calculated if you know the mass and volume (v = L x W x H).


What is the density of the object?


1. 0.50 g/cm3


2. 2.0 g/cm3


3. 5.0 g/cm3


4. 6.0 g/cm3

Answers

To calculate the density of the object, we need to know its volume. The volume can be calculated by multiplying its length, width, and height. Unfortunately, the diagram does not provide any measurements for the object's dimensions. Therefore, we cannot determine its density.

However, we do know the object's mass, which is 120 grams. Mass is the amount of matter in an object and is measured in grams. Density, on the other hand, is the amount of mass per unit of volume and is measured in grams per cubic centimeter (g/cm3).
In summary, we cannot answer the question about the density of the object without knowing its volume. But we do know that its mass is 120 grams, which is an important piece of information in calculating density.
To know more about density visit:

https://brainly.com/question/29775886

#SPJ11

two samples of solids have similar reactivity with acids and similar densities. their masses and volumes, however, are not at all similar. is it possible that these are the same substance?

Answers

Given that the volume and mass of a substance are not defining properties, it is entirely possible for two samples with different volumes and mass to be the same substance.

What are defining properties of a substance?These are properties that can help us to identify a substance. The most useful of which tend to be chemical properties such as reactiveness or melting points. Colors and density can also offer the insight needed to identify elements and substances. Mass and volume are not properties of a substance given that they can change often depending on the sample size and thus do not help to identify a substance.

Therefore, since the volume and mass of a substance are not defining properties of a substance, we can confirm that it is entirely possible for two samples with different volumes and mass to be the same substance.

To learn more about properties of elements visit:

https://brainly.com/question/11838894?referrer=searchResults

Define balanced forces(giving Brainly)

Answers

Answer:

Explanation:

Balanced forces  are opposite in direction and equal in size.

Balanced forces are  in a state of equilibrium.

Answer:

Balanced forces are forces whose net amount remains zero.

This can take place when two equal forces are acting in opposite direction.

Balanced forces don't make any  change in the position of objects

Find the number of moles of oxygen in 7.2 moles of H2 S04

Answers

The number of moles of oxygen in 7.2 moles of H₂S0₄ is 28.8 moles of oxygen. The amount of substance that contain total elementary entities is called as mole.

What is mole ?

The International System of Units uses the mole as the unit of material quantity. How many elementary entities of a certain substance are present in an item or sample is determined by the quantity of that material.

The term "mole" refers to the volume of a material containing the same number of atoms, molecules, or ions as there are in 12 grams of the carbon-12 isotope. A group of identical or dissimilar atoms that are capable of existing independently is referred to as a molecule.

In sulfuric acid, there are 4 molecules of oxygen present,

7.2 × 4 = 28.8 moles.

Thus, The number of moles of oxygen in 7.2 moles of H₂S0₄ is 28.8 moles of oxygen.

To learn more about mole, follow the link;

https://brainly.com/question/26416088

#SPJ1

What do we call the phenomena when plants bend towards the light?
Photomorphogenesis
Auxin
Phototropism
Photosynthesis

Answers

We would call it Phototropism.

P4Br7 is…
A. Phosphorus bromide
B. Phosphorus (IV) bromide
C. Phosphorus heptabromide
D. Tetraphosphorus heptabromide

Answers

The molecular formula P4Br7 represents a compound made of phosphorus and bromine atoms. To name this compound, we need to determine the oxidation state of the phosphorus atom and the number of bromine atoms present.

Since there are four phosphorus atoms, the prefix "tetra" is used. The Roman numeral in the name represents the oxidation state of phosphorus, which can be determined by dividing the total number of valence electrons of the phosphorus atoms by the number of phosphorus atoms present.

For P4Br7, the total number of valence electrons of the phosphorus atoms is 4 x 5 = 20, where 5 is the number of valence electrons of phosphorus. The total number of valence electrons contributed by the bromine atoms is 7 x 2 = 14, where 2 is the number of valence electrons of bromine. Thus, the total number of valence electrons in P4Br7 is 20 + 14 = 34.

To divide the total number of valence electrons by the number of phosphorus atoms, we get:

Oxidation state of P = Total valence electrons / Number of P atoms
= 34 / 4
= 8.5

Since the oxidation state of phosphorus is not a whole number, it suggests that the compound does not follow the typical rules for covalent bonding. Therefore, the compound P4Br7 is not a covalent compound but rather an ionic compound.

Out of the given options, none of them accurately represent the name of P4Br7. However, the closest option is D. Tetraphosphorus heptabromide, which represents a hypothetical compound that does not actually exist. Therefore, the correct answer is None of the above.
Final answer:

The correct name for P4Br7 is Tetraphosphorus heptabromide, which results from using prefixes to indicate the numbers of each type of atom present.

Explanation:

The correct name for the compound P4Br7 is D. Tetraphosphorus heptabromide. In chemical naming, the prefix 'tetra-' is used for four of an atom, in this case, phosphorus. Similarly, 'hepta-' is the prefix for seven, referring to the seven bromide atoms present. Therefore the name becomes Tetraphosphorus heptabromide.

Learn more about Chemistry nomenclature here:

https://brainly.com/question/10644

#SPJ1

Other Questions
One pound of cereal costs $8.64. What is the unit price per ounce? For the past several years, Steffy Lopez has operated a part-time consulting business from his home. As of July 1, 20Y2, Steffy decided to move to rented quarters and to operate the business, which was to be known as Diamond Consulting, on a full-time basis. Diamond entered into the following transactions during July:Jul. 1 The following assets were received from Steffy Lopez in exchange for common stock: cash, $13,500; accounts receivable, $20,800; supplies, $3,200; and office equipment, $7,500. There were no liabilities received. 1 Paid two months rent on a lease rental contract, $4,800. 2 Paid the premiums on property and casualty insurance policies, $4,500. 4 Received cash from clients as an advance payment for services to be provided, and recorded it as unearned fees, $5,500. 5 Purchased additional office equipment on account from Office Station Co., $6,500. 6 Received cash from clients on account, $15,300. 10 Paid cash for a newspaper advertisement, $400. 12 Paid Office Station Co. for part of the debt incurred on July 5, $5,200. 12 Recorded services provided on account for the period July 112, $13,300. 14 Paid receptionist for two weeks salary, $1,750.Jul. 17 Recorded cash from cash clients for fees earned during the period July 117, $9,450.18 Paid cash for supplies, $600.20 Recorded services provided on account for the period July 1320, $6,650.24 Recorded cash from cash clients for fees earned for the period July 1724, $4,000.26 Received cash from clients on account, $12,000.27 Paid receptionist for two weeks salary, $1,750.29 Paid telephone bill for July, $325.31 Paid electricity bill for July, $675.31 Recorded cash from cash clients for fees earned for the period July 2531, $5,200.31 Recorded services provided on account for the remainder of July, $3,000.31 Paid dividends, $12,500.Required:a. Post the journal to a ledger of four-column accounts. Add the appropriate posting reference to the journal.b. Prepare an unadjusted trial balance. Which one of the following best describes a layout with a stationary position? a) line balancing b) Muther grid c) fixed-position layout d) facility layout What is the distance from City A to City C? A. 12 km B. 18 km C. 20 km D. 30 km 1/4 of the sum 18 and 6 Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 7)(0,7) and (5, 1701)(5,1701) Liza found a recipe for a fruit smoothie. she wants to know if any ingredients make up an equal amount of the smoothie. what is the whole for the factions in this problem? do all the fractions have the same whole? be precise The Ulmer Uranium Company is deciding whether or not it should open a strip mine whose net cost is $4.4 million. Net cash inflows are expected to be $27.7 million, all coming at the end of Year 1. The land must be returned to its natural state at a cost of $25 million, payable at the end of Year 2.Should the project be accepted if r = 8%?Should the project be accepted if r = 12%?What is the project's MIRR at r = 8%?What is the project's MIRR at r = 12%?Calculate the two projects' NPVs.Does the MIRR method lead to the same accept-reject decision as the NPV method?Please show all work, formulas, and calculator inputs if used? Which of the following actions by the Fed would cause the money supply to increse? What dividend is represented by the synthetic division below? A vertical line and horizontal line combine to make a L shape. There are two rows of entries within the shape. Row 1 has entries 2, 10, 1, 5. Row 2 has entries blank, negative 10, 0, negative 5. Entry negative 5 is on the outside to the left of the shape, and a third row of entries is outside and below the shape. Row 3 has entries 2, 0, 1, 0. Negative 10 x squared minus 5 2 x cubed 10 x squared x 5 2 x squared 1 2 x cubed x. Suppose that a y varies inversely with x2 and when x=4, y=8 what is y when x=11? (round-off to 3 decimal places) Your Answer: Answer 14. Scientists and dinosaur fossils in the bottom rock layers of a cliff andmammal fossils in the middle rock layer of the cliff. Which could best beconcluded from this evidence? *A. Dinosaurs ate plants.B. Dinosaurs were eaten by the mammals.C. Dinosaurs lived on Earth before the mammals.D. Dinosaurs and mammals lived at the same time. Solve the following initial value problem analytically (by hand). y' = e-3.5x3.6y, y (0) = 0 Problem #3: Enter your answer as a symbolic function of x, as in these examples A gas has a density of 1.31 kg/m'at 0.95 bar and 6C. When 1.1 kg of this gas is heated at constant pressure from 21C to 245C the heat required is 280 kJ. Calculate: (a) The characteristic gas constant R. (4) (b) The specific heat capacity of the gas at constant pressure. (4) (c) The specific heat of the gas at constant volume. (4) (d) The change in internal energy. (4) (e) The external work done. (4) What is the volume of this frustum? I need help with this plz Most primary endosymbionts of insects have all these in common, except:a. highly reduced genomesare required b. for survival or fertilityc. maternal transmissiond. nitrogen fixation genes There are 23 oranges and 16 apples in a basket. Find the ratio of the number of apples to the number of oranges Surface runoff is an example of nonpoint source pollution. Please select the best answer from the choices provided Joanie bought three oranges and an apple for a total of $4.27. She paid with four $1 billsand a 50 coin. What is the least number of coins consisting of a combinationof pennies, nickels, dimes or quarters that she could receive as change?