The first eight ionization energies of a third row element are 999.6, 2252, 3357, 4556, 7004, 8496, 27107, and 31719 kJ/mol. Identify the element.

Answers

Answer 1

The first eight ionization energies of a third row element are 999.6, 2252, 3357, 4556, 7004, 8496, 27107, and 31719 kJ/mol. The element is S.

Hence, Option C is correct answer.

What is Ionization Energy ?

Ionization energy is the energy that an electron in a isolated gaseous atom or ion in the ground electronic state must absorb to discharge an electron resulting in a cation.

Which element belongs to third row or period ?

The third row element are Na, Mg, Al, Si, B, S, Cl, Ar

From the given options these elements belongs to third row Na, Mg, Al, Si, S, Cl, Ar.

Now check the first eight ionization energy of each element.

Na: 496, 4562, 6910, 9543, 13354, 16613, 20117, 25496 kJ/mol

Mg: 738, 1451, 7733, 10543, 13630, 18020, 21711, 25661 kJ/mol

Al: 578, 1817, 2745, 11577, 14842, 18379, 23326, 27465 kJ/mol

Si: 787, 1577, 3232, 4356, 16091, 19805, 23780, 29287 kJ/mol

S: 999.6, 2252, 3357, 4556, 7004, 8496, 27107, 31719 kJ/mol

Cl: 1251, 2298, 3822, 5159, 6542, 9362, 11018, 33604 kJ/mol

Ar: 1521, 2666, 3931, 5771, 7238, 8781, 11995, 13842 kJ/mol

Thus from the above conclusion we can say that The first eight ionization energies of a third row element are 999.6, 2252, 3357, 4556, 7004, 8496, 27107, and 31719 kJ/mol. The element is S.

Hence, Option C is correct answer.

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Question: The first eight ionization energies of a third row element are 999.6, 2252, 3357, 4556, 7004, 8496, 27107, and 31719 kJ/mol. Identify the element.

Choose One:

A. Mg

B. Cl

C. S

D. P

E. Al

F. Ar

G. Na

H. Si


Related Questions

Compare the ability to hold on to / attract electrons between metals and nonmetals.
(Use the concepts and trends about atomic radius and electronegativity.)

Answers

Nonmetals have the ability to attract electrons better than metals because they have a higher electron affinity or electronegativity than metals.

What is electronegativity?

Electronegativity is the tendency, or a measure of the ability, of an atom or molecule to attract electrons and thus form bonds.

An element in the periodic table with a high electronegativity will automatically have a high electron affinity.

Metals (low electronegativity) are known to lose electrons to non-metals (high electronegativity), hence, nonmetals have the ability to attract electrons better than metals because they have a higher electron affinity or electronegativity than metals.

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1. Ethanol and 2,6-dimethylphenol both have hydroxyl groups that can be deprotonated by a base. Why does ethanol act as a solvent but not as a nucleophile under the conditions used in this experiment

Answers

Anions are solvated in protic hydrogen-bonding solvents (such as ethanol). Consequently, nucleophiles are less reactive. Since soft nucleophiles are less strongly solvated than hard nucleophiles, these solvents boost the relative reactivity of soft anions.

Ethanol is either a nucleophile or a base.

The ethanol is a base  Because carbocation is an extremely reactive species, a base or nucleophile as weak as ethanol can replace or remove it. SN1 and E1 would not be conceivable without the carbocation or a strong departing group.

How do solvents impact anionic nucleophile's reactivity?

In polar aprotic solvents, nucleophilic substitution reactions of anionic nucleophiles often proceed more quickly. The normal relative reactivity order in such solvents (like DMSO)is Anions are solvated in protic hydrogen-bonding solvents (such as ethanol). Consequently, nucleophiles are less reactive.

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0 clue what is going on. pls help

Answers

Answer:

same question can I copy the answer

Explanation:

haha sorry

Advances in medical technology and healthcare have increased the life expectancy of people around the world. what negative effect has this also influenced?

Answers

The negative effect of technology on Healthcare:

Impersonal treatment, harmful health impacts, higher expenditures, the potential for overuse, and privacy violations are just a few of the negative effects of medical technology.                

Medical technology:

It refers to all technological tools or apparatus utilized to protect human life. Medical equipment such as an insulin pump, a wireless brain sensor, a blood glucose meter, a digital thermometer, pulse oximeters, smart inhalers, etc the tools which had helped patients receive better medical treatment.

Effects of Medical technology:

Medical technology, nevertheless, can potentially cause issues for the patient like:

1. Impersonal treatment: When a healthcare professional uses technology too frequently, they could spend less time getting to know the patient as a person and more time dealing with the equipment.

2. Harmful health impacts: Surgery, radiation therapy, and chemotherapy are a few examples of treatments that might be advantageous but also have risks.

3. Higher expenditures: Due to the research and marketing required to bring new technologies to market and to generate a profit for their creators and manufacturers, they may result in increased patient costs.

4. Potential for overuse: The use of a technology or new product by a medical professional may be encouraged by the manufacturer, regardless of whether it is in the patient's best interest.

5. Privacy violation: Electronic medical records (EMR), for example, collect and manage patient information. This new technology is convenient, but it also has the potential to be misused, compromising patient privacy and personal data.

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PLS HELP!!! In the reaction of calcium and oxygen to
form calcium oxide, shown below, what
are the reactants? Select all that apply
2
Ca + O
2
->
2
CaO

Answers

Answer:

Ca and O₂

Explanation:

In the chemical reaction producing calcium oxide (CaO), the reactants are Ca and O₂. The reactants are the substances that are reacted to make the new substance(s). The products are the new substances created from the reaction. The reactants are generally to the left of the arrow and products are to the right of the arrow.

If the volume of the original sample in Part A ( P1 = 242 torr , V1 = 27.0 L ) changes to 80.0 L , without a change in the temperature or moles of gas molecules, what is the new pressure, P2 ? Express your answer with the appropriate units.

Answers

The new pressure is 81.675 torr

Since temperature and moles are held constant, we use Boyle's Law:

A gas law known as Boyle's law asserts that a gas's pressure is inversely proportional to its volume when it is held at a fixed temperature and of a given mass.

To put it another way, as long as the temperature and volume of the gas remain constant, the pressure and volume of the gas are inversely proportional to one another.

The Anglo-Irish chemist Robert Boyle proposed Boyle's law in the year 1662.

P1V1=P2V2. Simply plug in your values. The units can remain in torr. Converting to atmospheres is not needed.

(242 torr)(27.0 L)=P2(80.0 L)

P2=[(242)(27)]/80 = 81.675 torr

Hence The new pressure is 81.675 torr

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Dna is made out of two strands of nucleotides that form a twisted ladder shape called a double helix. all of the following are part of a nucleotide except; a. deoxyribose sugar b. phosphate c. chromosomes d. nitrogen bases

Answers

Answer:

C.) Chromosomes

Explanation:

Nucleotides are made up of three parts: a deoxyribose sugar, a phosphate, and a nitrogen base.

Chromosomes are long, condensed strands of DNA.

What does the absorption spectrum of an atom show?

Answers

The  absorption spectrum of an atom shows pattern of dark lines or bands attained by transmitting absorbed light beam into the spectroscope.

What does an atom's absorption spectrum look like?

By sending an absorbed light beam into a spectroscope, one can create a pattern of black lines or bands.

The vapors or solution of a substance in the discharge tube are illuminated by a white light. After passing through a spectroscope, the transmitted light produces a spectrum of black lines at specific wavelengths. These shady lines match the light radiation wavelengths that the material has absorbed.

An atom, ion, or molecule absorbs photons with energies equal to the energy difference between the two states when it transitions from one to the other. An absorbance spectrum that depicts the intensity of emission as a function of wavelength is the end result.

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asap


1.)the number of atoms in 2.57 grams of carbon


4.)the number of atoms in 108 grams of chlorine gas (Cl2 (g))


3.)the mass of 1.00 X 10^20 atoms of sodium

Answers

Answer: See below

Explanation:

1.

[tex]\text{2.57 grams C} \, \, \cdot \frac{1 \text{mol C}}{12.011 \text{g}} \cdot \frac{6.022 \cdot 10^{23} \text{atoms}}{1 \text{mol}} = 1.29 \cdot 10^{23} \text{ atoms of C}[/tex]

2.

[tex]108 \text{ grams Cl}_2} \,\, \cdot \frac{2 \text{ Cl atoms}}{1 \text{Cl}_2 \text{ molecule}} \cdot \frac{1 \text{ mol Cl}}{35.453 \text{g}} \cdot \frac{6.022 \cdot 10^{23} \text{atoms}}{1 \text{ mol Cl}} = 3.67 \cdot 10^{24} \text{ atoms of Cl}[/tex]

3.

[tex]1.00 \,\cdot 10^{20} \text{ atoms Na } \cdot \frac{1 \text{mol Na}}{6.022 \cdot 10^{23} \text{ atoms}} \cdot \frac{22.990 \text{g}}{1 \text{mol Na}} = 0.00382 \text{ grams Na}[/tex]

) State the reason why it is not safe to keep the engine of a motor car runing for a prolonged period in a closed garage.​

Answers

Answer:

The gas fumes are toxic

Explanation:

The extremely high concentrations of carbon monoxide produced by an engine can raise CO concentrations in a closed building so quickly that a person may collapse before they even realize there is a problem. Carbon monoxide reduces the amount of oxygen to the brain, causing CO intoxication, and lack of reasoning.

What is the balanced form of the chemical equation shown below?
N₂(g) + H₂(g) → NH3(g)
OA. N₂(g) + 3H₂(g) → 2NH3(g)
OB. N₂(g) + H₂(g) → 2NH(g)
OC. N₂(g) + H₂(g) →
NH3(g)
OD. N₂(g) + H₂(g) → 2NH3(g)

Answers

The balanced form of the chemical equation shown is N₂(g) + 3H₂(g) → 2NH3(g) (option A).

What is a balanced equation?

A chemical equation is said to be balanced when the number of atoms of each element on both sides of the equation is the same.

According to this question, the chemical equation between nitrogen and hydrogen is given as follows: N₂(g) + H₂(g) → NH3(g)

The balanced form of the chemical equation shown is N₂(g) + 3H₂(g) → 2NH3(g).

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A student measures the molar solubility of silver carbonate in a water solution to be M. Based on her data, the solubility product constant for this compound is

Answers

A student measures the molar solubility of silver carbonate in a water solution to be 1.24 × 10⁻⁴ M. Based on her data, the solubility product constant for this compound is 7.63 × 10⁻¹² M³.

What is Stoichiometry ?

Stoichiometry helps us use the balanced chemical equation to measure quantitative relationships and it is to calculate the amounts of products and reactants that are given in a reaction.

Silver carbonate dissociates as follows

Ag₂CO₃ (s) ⇄ 2Ag⁺ (aq) + CO₃⁻² (aq)

How to find the Solubility Product Constant ?

To find the solubility product constant use the expression

[tex]K_{sp} = [A^{+}]^{a} [B^{-}]^{b}[/tex]

where

[tex]K_{sp}[/tex] = Solubility product constant

A⁺ = cation in an aqueous solution

B⁻ = anion in an aqueous solution

a, b = concentration of a and b

Molar Solubility (S) = 1.24 × 10⁻⁴ M

Solubility, Ag⁺ = 2S

Solubility, CO₃⁻² = S

Put the value in above expression, we get

[tex]K_{sp} = [A^{+}]^{a} [B^{-}]^{b}[/tex]

       = [Ag⁺]² [CO₃⁻²]¹

       = [2S]² [S]¹

       = 4S² × S

       = 4S³

       = 4 × ( 1.24 × 10⁻⁴ M)³

       = 7.63 × 10⁻¹² M³

       

Thus from the above conclusion we can say that A student measures the molar solubility of silver carbonate in a water solution to be 1.24 × 10⁻⁴ M. Based on her data, the solubility product constant for this compound is 7.63 × 10⁻¹² M³.

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Question: A student measures the molar solubility of silver carbonate in a water solution to be 1.24 × 10⁻⁴ M. Based on her data, the solubility product constant for this compound is ..........

If a gas at 25.0 °C occupies 3.60 liters at a pressure of 1.00 atm, what will be its
volume at a pressure of 2.50 atm?

Answers

Answer:

1.44 L

Explanation:

If the temp does not change

P1V1 = P2V2

1 * 3.6   = 2.5 * V2

V2 = 1.44 L

Why would an atom be more likely to form a chemical bond than existing as an independent particle?

Answers

Answer:

Covalent bonds form from shared electrons. Nature favors chemical bonding because most atoms have lower potential energy when they are bonded to other atoms than they have when they are independent particles.

Naturally occuring element X exists in three isotopic forms: X-28 (27.730 amu, 60.58% abundance), X-29 (28.841 amu, 18.35% abundance), and X-32 (31.321 amu, 21.07% abundance). Calculate the average atomic weight of X. Please enter your answer to 4 significant figures.

Answers

The Average atomic weight of X is 28.7amu

Isotopes are atoms with the same number of protons but differing numbers of neutrons.

Different isotopes have various atomic masses.

The proportion of atoms with a particular atomic mass that can be found in a naturally occurring sample of an element is known as the relative abundance of an isotope.

An element's average atomic mass is computed as a weighted average by multiplying the relative abundances of its isotopes by their respective atomic masses, then adding the resulting products.

Using mass spectrometry, it is possible to determine the relative abundance of each isotope.

The atomic weight of the element will be a weighted average of the isotopes based on the relative abundance:

(27.730 x 0.6058) + (28.841 x 0.1835) + (31.321 x 0.2107) = 16.7988 + 5.2923+ 6.599 = 28.690 = 28.7 amu.

Average atomic weight of X is 28.7amu

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How many grams are in 2.6 moles of ethanol (C2H5OH)?

Answers

Molar mass of ethanol

2(12)+5(1)+16+124+5+1729+1746g/mol

Mass:-

No of moles×Molar mass2.6(46)119.6g

Answer:

Molar mass of ethanol (C2H5OH) 

=2(12)+6(1)+16.1

=46.1 g/mol

How many grams I.e.,

mass = no. of moles × molar mass

= 2.6×46.1

= 119.86g

How many grams are in 44.8 liters of nitrogen gas, n2?
a) 56g
b) 27g
c) 36g
d) 112g

Answers

Answer:

56 grams

Explanation:

44.8 L = 2 mol

Diatomic nitrogen has a formula mass of 28 g/mol, so 2 moles is 56 grams.

a) 56g

Calculation:

At STP,

22.4 L of N₂ = 1 mol

We have given 44.8 L of N₂, therefore,

44.8 L of N₂ = [tex]\frac{44.8}{22.4}[/tex]

                    = [tex]2[/tex] mol

We know that,

1 mol of N₂ = 28 g

Hence,

2 mol of N₂ = 28 × 2

                   = 56g

Hence, there are 56 g of N₂ in 44.8 L of nitrogen gas.

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Using the periodic table, choose the more reactive non-metal.
S or As

Answers

Answer:

S

Explanation:

Reactivity goes UP as you go to the right or upward on the periodic table

  S is above and to the right of As     so we would expect it to be the more reactive  of the two.

L 8.1.4 Quiz: Types of Chemical Reactions
Question 1 of 10
Which products are formed when ethane (C₂H6) undergoes combustion?
OA. H₂O, CO₂, and 02
OB. H₂ and CO₂
OC. H₂0 and CO₂
OD. H₂O and C
SUBMIT

Answers

Answer:

C.) H₂O and CO₂

Explanation:

A product is what is created during reaction (the things on the right side of the chemical equation). A combustion reaction always forms water, carbon dioxide, and heat. In this case, the equation looks like this:

2 C₂H₆ +7 O₂ ----> 6 H₂O + 4 CO₂

What is the freezing point depression when sugar is dissolved in water to make a 0.50 molal solution?

Answers

The freezing point depression when sugar is dissolved in water to make a 0.50 molal solution is 0.93 °C.

What is the freezing point depression of water when sugar is added?

The freezing point depression of a solvent is calculated using the formula below:

ΔT = -iKfm

Where:

i = Van’t Hoff factorKf =  Freezing point constant of solvent (1.86°C/m for water)m = Molality of Solvent

The Van’t Hoff factor for sugar = 1

m = 0.50

Substituting the values:

ΔTf = −1 ×1.86 × 0.50m = − 0.93°C

In conclusion, the freezing point of water is depressed by 0.93 °C.

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What advantage do mineral base lubricants have over vegetable oil base lubricants when used in aircraft engines

Answers

Advantages of mineral-based lubricants:

Chemical stability is the advantage of mineral-based lubricants over vegetable oil-based lubricants when used in aircraft engines.

Lubricants used in aircraft engines:

Mineral oils are used in modern aircraft engines because they can maintain a specified viscosity over a wide range of temperatures. For instance, the capacity to function in temperatures between -10°C and 40°C is crucial for the start-up of an aircraft engine. Greater grade oils can be utilized at higher ambient and startup temperatures, but they are useless in arctic or freezing circumstances, where a synthetic multigrade would be more appropriate.

Because mineral oils are more fluid even at low temperatures, they can reach every part of an aircraft's engine far faster than vegetable oils can. As a result, the engine will start up with less wear.

Additionally, compared to vegetable oils, mineral oils can result in significant fuel savings of between 1.5 percent and 3 percent. The usage of mineral oils makes sense for operators attempting to stay competitive in the airline industry since it results in lower fuel costs as well as reduced expenses for maintenance and engine downtime due to excessive wear and extended active service life.

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A crystallographer measures the horizontal spacing between molecules in a crystal. The spacing is 16.84 nm. What is the total width of a crystal in
millimeters 105 molecules across? Write your answer as a decimal.

Answers

Answer:

u can just multiply 1

Explanation:

krkrfmfmmfdkd

2 NH3 + 3 CuO g 3 Cu + N2 + 3 H2O

In the above equation how many grams of N2 can be made when 181 grams of CuO are consumed?

Answers

Answer:

21.2 g

Explanation:

From the coefficients of the equation, we know that for every mole of nitrogen produced, 3 moles of CuO are consumed.

CuO has a formula mass of 79.545 g/mol, so 181 g is equal to 181/79.545 = 2.275 mol.

This means we need 2.275/3 = 0.758 mol of nitrogen.

Nitrogen has an atomic mass of 28.014 g/mol, so the answer is (28.014)(0.758) = 21.2 g to 3 sf

An ideal gas at 20 degrees centigrade has a volume of 12 liters and a pressure of 15 atmospheres. Its temperature is raised to 35 degrees centigrade and compressed to a volume of 8.5 liters. Calculate the final pressure of the gas. (2 pts.)

Answers

P 15 atm

V₁ = 12x103 m3 -3 3 V₁ = 12x10 m" T₁ = 25°c T= 28815 K

P₁ = 1.52x10 Pa

Now, Finel quantities, T₂ = 35°C = 308.15 °K

V2= 851 = -3 3

Now

by ideal gas equation

P2Y2 T2

= PV, T2

1152 X106 x 12x16 3 x 308115 8,5×103 x 288,15 = Pa

=

21294×10 Pa

P₂ = 21264 Atm

final

pressure will be

21264 Adm.

Please check the attached file for a brief answer.

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Calculate the volume of liquid in the tank sketched below. Give your answer in liters, and round to the nearest 0.1 L.

Answers

Answer:

1.3 L

Explanation:

The volume of a rectangular cube can be calculated using the following formula:

Volume (L) = length (cm) x width (cm) x height (cm)

Keep in mind that 1 L = 1,000 cm³.

Before you can plug the values into the equation, you need to make sure they all have the same unit. Since the length is in meters (m), you need to first convert it to centimeters.

1 meter = 100 cm

 0.159 m           100 cm
---------------  x  ----------------  =  15.9 cm
                           1 m

Now, you can solve for the volume. To find the answer is the unit liters, you need to divide the volume by 1,000.

Volume = l x w x h

Volume = 15.9 cm x 10.5 cm x 7.7 cm

Volume = 1,285.5 cm³

Volume = 1.2855 L ------>  Volume = 1.3 L

Prepare a project report on the three state of matter.

detailed answer plss

Answers

Answer:

Matter is all around you. All atoms and compounds are made up of very small pieces of matter. Such atoms continue to build the everyday things you see and touch. Matter is defined as anything that has mass (it has volume) and takes up space.

Explanation:

The three states of matter are the three distinct physical forms which matter can take in most environments: solid, liquid , and gas. Other states, such as plasma, Bose-Einstein condensate, and neutron stars, may be present in extreme environments.

An arrow is fired at a target on Highwater how does the energy charge between the moment the arrow is fired and the moment it hits the target
A The potential energy and kinetic energy remains the same
B The potential energy decreases as kinetic energy increases
C The kinetic energy decreases as potential energy increases
D The kinetic energy remains at zero but potential energy increases

Answers

The potential energy decreases as kinetic energy increases. Hence, option C is correct.

What is potential energy?

Potential energy is stored energy that depends upon the relative position of various parts of a system.

To shoot an arrow, the string has to be released. The kinetic energy is converted by the potential energy of the bow. Therefore, potential energy is converted into kinetic energy.

Hence, option C is correct.

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Given 1L of a 1.0 M solution of H3PO4, how many moles of NaOH are required to make a buffer with a pH of 12.4

Answers

Moles of NaOH required to make a buffer with a pH of 12.4 will be 1.18.

Calculation of moles:

1L of 1M solution of [tex]H_3PO_4[/tex]

Buffer pH= 12.4

As we know

pH + pOH= 14

pOH= 14 - pH

pOH= 14 - 12.4

pOH= 1.6

Also,

[tex]pOH= -log[OH^-]\\[/tex]

By calculating concentration of Hydroxide ion, we can calculate the moles of NaOH required.

[tex]1.6= -log[OH^-]\\[/tex]

Taking antilog, we get

[tex][OH^-]= 1.18M[/tex]

As the volume of the solution is 1L.

Molarity is number of moles of solute in 1L of the solution.

Therefore, moles of [tex][OH^-]= 1.18[/tex]

So, number of moles of NaOH required will be 1.18.

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Complete the table below by writing the symbols for the cation and anion that make up each ionic compound.

Answers

The ions are as follows;

As2O3 -  As^3+, O^2-MnS - Mn^2+, S^2-VCl3 - V^3+, Cl^-NiF2 - Ni^2+,  F^-

What is a cation and an anion?

A cation is a positive ion while an anion is a negative ion. Ionic compounds are composed o cations and anions.

The anions and cations in the ionic compounds in the table are shown below;

As2O3 -  As^3+, O^2-MnS - Mn^2+, S^2-VCl3 - V^3+, Cl^-NiF2 - Ni^2+,  F^-

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How many low tides happen at a given coast in any 24-hour period?
Answer here

Answers

Because the Earth rotates through two tidal
"bulges" every lunar day, coastal areas
experience two high and two low tides
every 24 hours and 50 minutes.
Other Questions
It took 84 different tasks to build a Ford car. This is an example ofdiversity of population.skilled craftsmanship.employee benefits.division of labor. How many solutions does the system contain? What is the degree of the polynomial f(x) = (x 1)(x + 1)(x + 3) help pls!introduction to making a difference: its our world,too! What is the potential outcome for an author if she uses a word without realizing its connotation? she may write something that she does not mean she may make a serious spelling error she may force her reader to use a thesaurus she may convince the audience of her writing skills A diagonal of a cube measures StartRoot 150 EndRoot cm. The diagonal of a face measures 10 cm.What is the length, in centimeters, of an edge of the cube? Round the answer to the nearest tenth. P l e a s e h e l p~!!!!!!~!!~~~! What is the art historical term for the African artistic practice of varying the sizes of the figures in a composition according to their importance A statement of cash flows explains the difference between the beginning and ending balances of: Multiple Choice Equity. Cash and cash equivalents. Working capital. Cash and intangible assets. Net income. helppp!!! Lynn is putting tiles on her bathroom floor. Each tile measures 1 square foot each. The floor measures 4 1/2 ft by 3 3/4 ft. How many tiles will she need to cover the floor? Create a list of steps, in order, that will solve the following equation. (x-5)^2=25(x5) 2 =25left parenthesis, x, minus, 5, right parenthesis, squared, equals, 25 Solution steps: Writers pay special attention to detail in their writing. Each author has their own unique voice. Read the following passage and think about the picture Jacobs is painting. What do you find interesting about this particular passage? What is the tone of this passage (scary, dull, exciting, happy, sad)? Explain your thinking.He sat until he was chilled with the cold, glancing occasionally at the figure of the old woman peering through the window. The candle-end, which had burned below the rim of the china candlestick, was throwing pulsating shadows on the ceiling and walls, until with a flicker larger than the rest, it expired. The old man, with an unspeakable sense of relief at the failure of the talisman, crept back to his bed, and a minute afterward the old woman came silently and apathetically beside him. A rectangular prism has a length of 3 1/2 inches, a width of 5inches, and a height of 1 1/2 100 POINTS!!! To find the distance AB across a river, a distance BC of 319 m is laid off on one side of the river. It is found that B = 104.6 and C = 14.4. Find AB. Consider the line y=3x-3.Find the equation of the line that is perpendicular to this line and passes through the point (4, 5)Find the equation of the line that is parallel to this line and passes through the point (4, 5). Bertrand Incorporated purchased some shop equipment for $4,500 in cash. By mistake, the journal entry debited the Office Equipment account rather than the Shop Equipment account. What correcting entry would be necessary Joe is currently in consumer equilibrium by consuming cheese and crackers, such that the last cracker consumed yielded 8 utils and the last piece of cheese consumed yielded 12 utils. Assume the price of crackers is two cents per cracker and the price of cheese is three cents per piece. If the price of crackers increases to four cents, Joe should __________ his consumption of crackers and his marginal utility from crackers will __________ and also __________ his consumption of cheese and his marginal utility from cheese will __________. A lazy days rowing on Lake Palmer turned into a life or death rescue yesterday, when a womansboat capsized and she was washed over the weir at the lakes eastern end.Construction worker, James Mason, rescues the drowning woman from the raging waters of the Lake Palmer weirThe drama unfolded at 2:30pm during a normally tranquil public session, when the woman, as yetunnamed, was attempting to free herself from a sand bar."I heard a shout and a splash" said Marie Hall, 28, who was kayaking with her husband and twochildren. I could see the woman in the water without a life jacket, and I didn't even have time toreact before the current pulled her down the weir..."Moya Stevenson, a paramedic who treated the rescued woman for shock, was unequivocal in herresponse to the lucky escape. "The message is clear always wear a life jacket when you're out onthe water."b2022Exit< BackNext > g at constant temperature, a sample of helium at 2 atm in a closed container was compressed from 5.00 L to 3.00 L. what was the new pressure exerted by the helium on its container Question 10 of 15What is the solution to the system of equations graphed below?