A gas is confined to a cylinder under constant atmospheric pressure,. When the gas undergoes a particular chemical reaction , it releases 135 kJ of heat to its surroundings and does 63 KJ of P-V Work on its surroundings. What are the values of ∆H and ∆E for this process ?

Answers

Answer 1

Answer:

[tex]\begin{gathered} \triangle H=-135kJ \\ \triangle E=-198kJ \end{gathered}[/tex]

Explanations:

From the question, we are given the following

Amount of heat released to the surroundings = 135kJ

Work done to its surroundings q = 63 kJ

The derivation of the enthalpy at constant pressure is expressed as;

[tex]\triangle H=\triangle U+\triangle(P_{int}V)[/tex]

where;

[tex]\begin{gathered} \triangle U\text{ is the internal energy} \\ P_{int_{}}\text{ is the internal pressure} \\ V\text{ is the volume of the gas} \end{gathered}[/tex]

Since the cylinder gas is under constant pressure, then the enthalpy will be equal to the work done to have:

[tex]\triangle H=q[/tex]

Since q = 63kJ, hence;

[tex]\triangle H=q=-135kJ[/tex]

Next is to calculate the change in the change in the internal energy

Using the law of energy conservation which states that the change in internal energy is equal to the heat transferred to, less the work done by, the system. Mathematically;

[tex]\begin{gathered} \triangle E=q+W \\ \triangle E=-135kJ+(-63kJ) \\ \triangle E=-198kJ \end{gathered}[/tex]

Hence the change in internal energy for the process is -198kJ


Related Questions

I need your help with this question
No need explaining just say the answer thanks

Answers

Answer: CHOCH

The third one

Explanation:

what are terms used for solubility or concentration expression ?​

Answers

Answer:

The correct expression used for solubility is a. grams per 100 grams of solvent. One of the most commonly used methods for expressing the concentrations is molarity.

How many grams of fluorine gas occupy 543.2ml and exert 123456 pa of pressure at 29.8 degrees Celsius

Answers

Answer:

m = 506 grams of fluorine

Explanation:

Given:

M = 19·10⁻³ kg / mol - molar mass of fluorine

V = 543.2 mL = 543.2·10⁻³ m³

p = 123456 Pa

t = 29.8°C

_____________________

m - ?

Temperature in degrees Kelvin:

T = 273.15 + t = 273.15 + 29.8 =  302.95 K

Clapeyron-Mendeleev law:

p·V = (m/M)·R·T

Mass of fluorine:

m = p·V·M / (R·T)

m = 123456·543.2·10⁻³·19·10⁻³ / (8,31·302.95) ≈ 0.506 kg  

or m = 506 g

What is the energy of a purple
lamp with a frequency of
7.5 x 10^14 Hz

Answers

Answer:

[tex] \huge{4.969 \times {10}^{ - 19} \:J }[/tex]

Explanation:

The energy of the purple lamp can be found by using the formula

E = hf

where

E is the energy

f is the frequency

h is the Planck's constant which is

6.626 × 10-³⁴ Js

From the question.

[tex] f = 7.5 \times 10^14 \: Hz [/tex]

We have.

[tex] E = 6.626 \times 10^{-34} \times 7.5 \times 10^{14} [/tex]

We have the final answer as

[tex]4.969 \times {10}^{ - 19} \: J[/tex]

QUESTION 2How many grams of NaOH are present in 27.0 mL of a 2 M solution?

Answers

We want the mass of NaOH, Given:

V = 27.0 mL = 0.0270 L

C = 2 M

Given the concentration and volume we can find the number of moles of NaOH, and then convert it to mass.

C = n/V (or Molarity = moles of solute/litres of the solution) where C is the concentration or molarity, n is the number of moles of the solute and V is the volume of the solution

n = Cv

n = 2 x 0.0270 L

n = 0.054 mol

Now that we have the number of moles, we can get the mass of NaOH. Molar mass of NaOH = 39,997 g/mol

n = m/M where m is the mass and M is the molar mass

m = nM

m = 0.054 mol x 39,997 g/mol

m = 2.16 g

Which of the following statements about temperature scales are correct? Select all that apply.
Zero on the Kelvin scale corresponds to absolute zero.
The Kelvin and Fahrenheit scales are commonly used in chemistry.
The units the Celsius and Fahrenheit scales are both called degrees.
Water boils at 273 K on the Kelvin scale.

Answers

Zero on the Kelvin scale corresponds to absolute zero this statements about temperature scales is correct

What is Temperature scales ?

Using a beginning point (0 or zero) and a unit of measurement, a temperature scale can be used to indicate or measure temperature. This is typically accomplished by designating certain physical events as occurring at 0 and 100 degrees Fahrenheit, respectively, at specific temperatures, such as the freezing and boiling points of water.

The Fahrenheit and Celsius (Centigrade) systems are the two most often used temperature scales. Due to the fact that all molecular activity stops at the zero points of the Rankin and Kelvin scales, two other scales, they are known as the absolute scales. This location is referred to as absolute zero.

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Which is the least electronegative element?Group of answer choicescarbonnitrogenoxygenaluminum

Answers

In order to solve this question, we can use the electronegativity table (or also just a regular periodic table), which will give us the values of electronegativity for each element.

As we can see in this table, the least electronegative element will be Al, with only 1.61 of value. If you were with a regular periodic table, you could find this answer by thinking about the periodic table trend, or we can also call it a rule, that in most elements the electronegativity will grow in value from left to right and from the bottom to the top, then you would also get Al as your answer

Answer = Al, letter D

The molar mass of oxygen gas (O2) is 32.00 g/mol. The molar mass of C3H8 is 44.1 g/mol. What mass of O2, in grams, is required to completely react with 0.025 g C3H8?"Determine the mass of each of the following compounds, rounding molar masses of elements to the gram before adding up the total: C3H8 (propane)"

Answers

The molar mass of oxygen gas (O2) is 32.00 g/mol.

The molar mass of C3H8 is 44.1 g/mol.

This kind of reaction is a combustion:

C3H8 + 5O2 → 3CO2 + 4H2O (In a combustion we obtain CO2 and H2O. Don't forget to balance this equation)

Procedure:

Let's use stoichiometry to solve this

44.1 g C3H8 --------- 5 x 32.00 g O2

0.025 g C3H8 --------- X

X = 0.091 g O2

Answer: mass of O2 required = 0.091 g

identify the functional group and name the compound ch3ch2ch2ch2ch2ch2cho

Answers

Answer: valeraldehyde

Explanation:

I had to memorize this one

The functional group present is aldehyde and name of compound is valeraldehyde.

What are functional groups?

Functional group is defined as a substituent or group of toms or an atom which causes chemical reactions.Each functional group will react similarly regardless to the parent carbon chain to which it is attached.This helps in prediction of chemical reactions.

The reactivity of functional group can be enhanced by making modifications in the functional group .Atoms present in functional groups are linked to each other by means of covalent bonds.They are named along with organic compounds according to IUPAC nomenclature.

Functional group inter conversion is also possible by retro -synthesis.In some cases , functional groups can be charged molecules.

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What is the mass in grams of 8 moles of ammonia, NH3?

Answers

The first step to find the mass of the 8 moles of NH₃ is to find the molar mass of NH₃. The molar mass of any compound is the mass of one mol of it. To calculate it, we have to look for the atomic masses of the elements that the molecule has.

N: 14.01 amu

H: 1.01 amu

Then the molar mass of NH₃ will be:

molar mass of NH₃ = 14.01 + 3 * 1.01

molar mass of NH₃ = 17.04 g/mol

Now that we know the molar mass of NH₃ (the mass of one mol of it) we can easily find the mass of 8 moles.

mass = 8 moles of NH₃ * 17.04 g/mol = 136.32 g

mass = 136.32 g

Answer: the mass in grams of 8 moles of ammonia is 136.32 g

What type of bond is formed between hydrogen and oxygen atoms within a water molecule?Ionic bondNonpolar covalent bondPolar covalent bondHydrogen bondWhich of the following best describes a solute that is dissolved in water?Aqueous solutionGaseous solutionAlloyHeterogeneous solution

Answers

To determine what type of bond is formed when hydrogen and oxygen form water, we have to find the difference in electronegativities of hydrogen and oxygen:

[tex]3.44-2.2=1.24[/tex]

According to this, the difference between electronegativities is less than 1.7 and greater than 0.4, which means that the type of bond formed by oxygen and hydrogen is polar covalent bond.

How many atoms are in this compound: Li₂SO₂?

Answers

Counting Atoms

To count atoms, we can find the total sum of the subscripts in a chemical compound.

This is the case for most compounds. In some cases, we will have to multiply subscripts when there are elements inside brackets.

Solving the Question

We're given:

Li₂SO₂

In front of lithium (Li), there is a 2.

In front of sulfur (S), there is nothing, which means 1.

In front of oxygen (O), there is a 2.

Add:

2 + 1 + 2 = 5

Therefore, there are 5 atoms in Li₂SO₂.

Answer

5 atoms

A 6.5 L gas sample at 298 K and 0.51
atm expands until a volume of 9.9 L is
reached. What will be the final
temperature if the final pressure is
0.65 atm? Please show the work.

Answers

The final temperature if the final pressure is 0.65 atm will be 585 K

It is given that

Initial Volume of sample = V1 = 6.5 L

Initial temperature = T1 = 298 K

Initial pressure = P1 = 0.51 atm

Final Volume = V2 = 9.9 L

Final temperature = T2 = ?

Final pressure = P2 = 0.65 atm

Gay-Lussac's law - The pressure of a gas is directly proportional to the. temperature when volume and amount of substance is constant. P1/T1 = P2/T2 Combined gas law P1V1/T1 = P2V2/T2 Use the gas laws for pressure, volume and temperature calculations.

P1V1/T1 = P2V2/T2

0.52 x 6.5/298 = 0.65 x 9.9/T2

0.011 = 6.435/T2

T2 = 585 K

Hence, final temperature if the final pressure is 0.65 atm will be 585 K

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Recall the postulates of kinetic-molecular theory. Read the list and check all the statements that apply to the behavior of an ideal gas:1. gas particles behave like hard spheres2. gas particles travel randomly3. gas particles are attracted to each other4. energy is lost when gas particles collide 5. average kinetic energy of a collection of gas particles depends on the temperature6. gas particles occupy most of the space within a container7. gas particles have mass and volume

Answers

Answer:

Chemistry - States of matter - Kinetic Molecular Theory

This is the theory that explains the states of the matter and is based on the idea that matter is composed of tiny particles that are always on motion.

Part 1: Check all the statements that apply to the behavior of an ideal gas

The behaviors that apply are:

1.Gas paarticles behave like hard sphares.

2.Gas particles travel randomly.

5. Average kinetic energy of a collection of gas particles depends on the temperature.

Part 2: According to kinetic-molecular theory the one that would not be considered an ideal gas is:

A gas with highly polar molecules that have very strong intermolecular forces.

This is because the theory consideres thhat there are no forces of attraction of repultion between gas particles.

A solution is prepared by mixing 500. mL of 0.10 M NaOCl and 500. mL of 0.20 M HOCl. What is the pH of this solution? [Ka(HOCl) = 3.2 × 10–8 ]

Answers

The pH of the solution is calculated as 7.2.

What is the pH of the solution?

Let us recall that we can make us of the Henderson–Hasselbalch equation

to obtain the pH of the solution if we would follow the steps that have been itemized below.

Number of moles of the acid = 500/1000 L * 0.20 M = 0.1 moles

Number of moles of salt =  500/1000 L * 0.1 M = 0.05 moles

Total volume of the solution = 500 mL + 500 mL = 1000 mL or 1L

Now;

Molarity of the acid = 0.1 moles/1 L = 0.1 mol L-1

Molarity of the salt = 0.05 moles/1 L = 0.05 molL-1

Then we apply the equation;

pH = pKa + log[(A-)/(HA)]

pKa = - log (Ka) = - log(3.2 × 10^–8) = 7.5

Thus we have;

pH = 7.5 + log (0.05/0.1)

pH = 7.5 - 0.3

pH = 7.2

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10) Identify the substance as an acid or a base and put an "X" in the box.
l

Answers

Identify the substance as an acid or a base and put an "X" in the box lemon juice is the acid sodium hydroxide is the base and ammonia is the weak base and HCl is the strong acid

An acid is the any hydrogen containing substances that is capable of donating a proton to another substances and base is the molecule or ion able to accept a hydrogen ion from acid and acidic substances are usually identified by their sour taste and here given example are lemon juice acidic because they contain high amount of citric acid and sodium hydroxide is the base because they dissociate completely into the solution to form hydroxide ion and ammonia is the weak base because nitrogen atom has electron pair that easily accept a proton and HCl is the strong acid because  it dissociate almost completely

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Calculate the energy and frequency of red light having a wavelength of 650 nm (Note => 650 nm = 6.50 * 10^7 m)

Answers

The energy and frequency of the red light would be  2.88 × 10⁻¹⁹ Joules and 4.615 × 10¹⁴ Hz respectively if the red light has a wavelength of 650

nm.

What is Wavelength?

It can be understood in terms of the distance between any two similar successive points across any wave for example wavelength can be calculated by measuring the distance between any two successive crests.

C = λν

As given in the problem we have to calculate the energy of the light if the wavelength of light is 6.5 × 10⁻⁷ meters.

The frequency of the red  light = 3 × 10⁸ / 6.5 × 10⁻⁷

                                                    = 4.615 × 10¹⁴ Hz

The energy of the red light = h ν

                                             = 6.26 × 10⁻³⁴ × 4.615 × 10¹⁴

                                             = 2.88 × 10⁻¹⁹ Joules

Thus, the energy and frequency of the red light would be  2.88 × 10⁻¹⁹ Joules and 4.615 × 10¹⁴ Hz respectively.

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What's the difference between ionization and dissociation?
Question options:

A)

Ionization breaks ionic bonds, and dissociation breaks covalent bonds.

B)

Ionization involves complete breakdown, while dissociation is only partial.

C)

Ionization breaks covalent bonds, and dissociation breaks ionic bonds.

Answers

The difference between ionization and dissociation : Ionization breaks ionic bonds, and dissociation breaks covalent bonds.

Ionization breaks the ionic bond into its constituent ions while dissociation is breaking of bond into its simple constituent. Ionization is a irreversible process and dissociation is reversible process. The bond involves in the process of ionization is ionic bond and the bond involved in the process of dissociation is the covalent bond. The compound related to ionization is ionic compound and the compounds related with dissociation is covalent compound.

Thus, The difference between ionization and dissociation :

(A) Ionization breaks ionic bonds, and dissociation breaks covalent bonds.

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A scientist uses a graduated cylinder to measure 100.0 mL of gasoline for an experiment. The density of gasoline is 0.774 g/mL. What is the mass of this gasoline sample?

Answers

Answer:

100ml x 0.774

divide by 4

x by 8

Complete the balanced dissociation equation for the compound below. If
the compound does not dissociate, write NR after the reaction arrow.
LiOH(s) →

Answers

LiOH ⇌ Li +  + OH - NR

When there are too many OH ions, water dissociates fully to the left, possibly leaving only Li + and OH ions and H 2 O molecules.

IN CHEMISTRY, WHAT IS AN ION?

An atom or collection of atoms that is classified as an ion as a different number of electrons than proton atoms. The particle is a positive ion, also known as a cation, if the number of electrons is smaller than the number of protons.

How do ions form?

Ions are created when there are more protons in an atom than electrons, which is the case in all atoms. An atom that has gained or lost one or more electrons, and as a result has a negative or positive charge, is what is referred to as an ion. Exchanging electrons between atoms or molecules is the process of ionization.

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During a titration, an endpoint was reached after adding 20 mL of sodium hydroxide solution, NaOH(aq), to 20 mL of sulfuric acid, H2SO4. The sodium hydroxide solution had a concentration of 1.50 mol/L. What was the initial concentration of the sulfuric acid? Select one: a. 1.50 mol/L b. 2.25 mol/L c. 3 mol/L d. 0.75 mol/L

Answers

Write the balanced chemical equation for the reaction as follows:

[tex]2NaOH+H_2SO_4\rightarrow Na_2SO_4+2H_2O[/tex]

Given:

Concentration of sodium hydroxide =1.50 mol/L

Volume of sodium hydroxide = 20 mL

Concentration of sulfuric acid = x

Volume of sulfuric acid = 20 mL

Firstly, we will determine the moles that is in 20 mL of 1.5 M NaOH:

[tex]\begin{gathered} 1.5\text{ }mole=1000mL \\ x\text{ }mol=20mL \\ \\ x=\frac{1.5mol\times20mL}{1000mL} \\ \\ x=0.03mol\text{ }NaOH \end{gathered}[/tex]

Based on the balanced chemical equation and the moles of NaOH we can use stoichiometry (ratios) to determine the moles of 20 mL sulfuric acid:

[tex]0.03mol\text{ }NaOH\times\frac{1mol\text{ }H_2SO_4}{2mol\text{ }NaOH}=0.015\text{ }mol[/tex]

Now that we know how many moles are in 20 mL of H2SO4, we can determine the moles in 1000mL (initial concentration):

[tex]\begin{gathered} 0.015\text{ }mol=20\text{ }mL \\ x\text{ }mol=1000\text{ }mL \\ x=\frac{0.015mol\times1000mL}{20mL} \\ \\ x=0.75mol•L^{-1} \end{gathered}[/tex]

Answer: D) 0.75 mol/L,

you find the density of an object 4 times 1.3g/ml 1.25g/ml 1.17g/ml and 1.22g/ml now determine the percent deviation from the mean

Answers

Firstly we will determine the average or the mean of the objects density:

[tex]\begin{gathered} Mean=\frac{1.3g•mL^{-1}+1.25g•mL^{-1}+1.17g•mL^{-1}+1.22g•mL^{-1}}{4} \\ Mean=\frac{4.94g•mL^{-1}}{4} \\ Mean=1.235 \end{gathered}[/tex]

Now we will calculate the deviation. The deviation is how much is trial is different from the average. We take the absolute value so the answers can be positive:

[tex]\begin{gathered} Trial\text{ }1:|1.3-1.235|=0.065 \\ Trial\text{ }2:|1.25-1.235|=0.015 \\ Trial\text{ }3:|1.17-1.235|=0.065 \\ Trial\text{ }4:|1.22-1.235|=0.015 \end{gathered}[/tex]

We will determine the average of the deviation:

[tex]\begin{gathered} Deviation\text{ }mean=\frac{0.065+0.015+0.065+0.015}{4} \\ Deviation\text{ }mean=0.04 \end{gathered}[/tex]

To determine the percent deviation we:

[tex]\begin{gathered} \%\text{ }deviation=\frac{mean\text{ }deviation}{mean}\times100 \\ \\ \%\text{ }deviation=\frac{0.04}{1.235}\times100 \\ \\ \%\text{ }deviation=3.24\% \end{gathered}[/tex]

Answer: The percent deviation from the mean is 3.24%,

The following lists consists of ionic compounds EXCEPT

barium hydroxide, zinc carbonate, ammonium sulfate
calcium chloride, carbon disulfide, magnesium nitrate
sodium sulfate, copper(II) oxide, potassium nitride
aluminium sulfide, sodium sulfite, calcium fluoride

Answers

Except for NACLE, the is made up of ionic compounds. Carbon disulfide bonds are not ionic due to their weak and trivial polarity. Carbon disulfide bonds are covalent due to the small difference in electronegativities of carbon and sulfur.

What makes an ionic bond?Ionic bond, also known as electrovalent bond, is a type of linkage formed in a chemical compound by the electrostatic attraction of oppositely charged ions. When the valence (outermost) electrons of one atom are permanently transferred to another, a bond is formed.After two or more atoms lose or gain electrons to form an ion, an ionic bond can form. Ionic bonds form when metals lose electrons and nonmetals gain electrons. Ions with opposite charges attract each other, forming an ionic bond.

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A popular car has an engine that is reported to have a volume of 5840 . What is the size in cubic inches?

Answers

By using an appropriate conversion factor, the size of this popular car's engine is equal to 356.78 cubic inches.

What is a conversion factor?

A conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.

Conversion:

1 cubic centimeter = 0.061023744094732 cubic inches.

5,840 cubic centimeter = X cubic inches.

Cross-multiplying, we have:

X = 0.061023744094732 × 5,840

X = 356.78 cubic inches.

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Complete Question:

A popular car has an engine that is reported to have a volume of 5840 cm³. What is the size in cubic inches?

The volume of ammonia gas at .930 atm of pressure is gradually decreased from 96.2mL to 44.7mL. What is the final pressure of ammonia if there is no change in temperature?

Answers

Initial Pressure = P₁ = 0.930 atm

Final Pressure = P = ?

Initial Volume = V₁= 96.2 mL

Final Volume = V = 44.7 mL

Temperature = constant

If we consider that ammonia as an Ideal Gas, and since the temperature is constant we can apply Boyle's Law. It says that at constant temperature:

P * V = P₂ * V₂

If we divide at both sides by V₂:

P₁* V₁ / V₂ = P₂ * V₂ / V₂

On the right side we can cancel V₂ and we get:

P₁* V₁ / V₂ = P₂

P₂ = P₁* V₁ / V₂

Replacing by the values that we were given:

P2 = 0.930 atm * 96.2 mL / (44.7 mL)

P2 = 2.00 atm

So the final pressure is 2.00 atm

What two properties change that would cause a boiled egg to drop into a container, that’s mouth was smaller than the egg? 1. Temperature 2. Pressure 3. Volume 4. Number of particles

Answers

Answer:

2. Pressure

4. Number of particles.

Explanation:

If we drop a boiled egg into a container with a smaller mouth than the egg, we can note a change in the pressure inside the container, because initially, we have the atmospheric pressure inside the container but the egg will impose a different pressure inside; and the number of particles will be affected too because we suppose that the container is exchanging particles with the ambient so we wouldn't have an exact amount of particles in the container because of this exchange dynamic, so if the egg is covering the mouth of the container, the number of particles would be constant.

The answers would be 2. Pressure and 4. Number of particles.

During her presentation, Zahara was asked several questions from the audience and to provide the molecular formula for molecules that the audience had questions about. Help Zahara show the molecular formula for the following compounds: Trisilicon tetranitride

Answers

Because tri means 3, there are 3 silicon atoms, and tetra means 4, so there will be 4 nitrogen atoms, the answer is:

[tex]_{N_4Si_{3_{}}}[/tex]

Where are the alkali metals and the alkaline earth metals located? How do the characteristic properties of each group compare/contrast to the other?

Answers

Alkali Metals are located in the first group in the periodic table. (Hydrogen is not alkali, be careful with that).

Alkaline Earth Metals are in group number two, right next to the Alkali Metals.

You have to look at the vertical groups ( 1 and 2).

----------------------------------------------------------------------------------------------------------------

ALKALI METALS (AL) VS ALKALINE EARTH METALS (ALE).

Alkali Metals are soft, Alkaline Earth Metals are hard.

AL have only one electron in the last shell, ALE have 2.

AL present a low melting point, ALE high.

AL form hydroxides strongly basic, ALE hydroxides are less basic.

AL are more reactive than ALE

AL have +1 ionic charge in their compounds, ALE have +2 ionic charge in their compounds.

A testable question is, “How does the amount of exercise affect heart rate and breathing rate?” Which is a controlled variable?O Amount of exerciseO Heart rateO Breathing rateO Temperature in the room

Answers

Answer

Temperature of the room

Explanation

The room temperature can be controlled compared to all other options.

What is known about the first forensic laboratory?

A.
It was opened by the Los Angeles Police Department.

B.
It was started by the Federal Bureau of Investigation.

C.
It opened in the late 1800s.

D.
It was built by a Chinese emperor in the 1200s.

Answers

Answer:

It was started by the FBI

Other Questions
question content area at the end of the fiscal year, the usual adjusting entry to account for the expired portion of prepaid insurance was omitted. which of the following statements is true? a.total assets at the end of the year will be understated. b.owner's equity at the end of the year will be understated. c.insurance expense will be overstated. d.net income for the year will be overstated. AY+BXZGiven the diagram shown with AB|| XZAY = 7AX = 6AB= 14find XZ. A cell has the following molecules and structures: DNA, enzymes, ribosomes, cell membrane and mitochondria. It could be a cell from:A) Any type of cellB) A bactetiumC) An animal cell but not a plant cellD) Either a plant or an animal cellE) A plant cell but not an animal cell why is connor being punished in the happy jack harvest camp? H = -16t^2 + 36t + 56 Where H is the height of the ball after t seconds have passed. 22 Olivia has $700 in her bank account at the beginning of thesummer. She wants to have at least $150 in her account at theend of the summer. Each week she withdraws $40 for foodand entertainment.a. Write an inequality for this situation. Let x representthe number of weeks she withdraws money from heraccount.b. What is the maximum whole number of weeksthat Olivia can withdraw money from her account?Explain how you know your answer is correct. How did the United States gain friendly relations with China? How many angles and sides are there in a Heptagon?ANGLES:SIDES: How many three-letter code words can be constructed from the first twelve letters of the greek alphabet if repetitions is allowed?. The height of a tree is x feet. If it grows times the original height, choose the correct expression that denotes the situation. which model of leadership asserts that a leader's effectiveness depends on personal style and the degree to which the situation gives the leader power, control, and influence over the situation? Which business activity ensures that the business will have goods to sell? The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:A graph is titled Distance Vs. Time is shown. The x axis is labeled Time in minutes and shows numbers 0, 1, 2, 3, 4, 5. The y axis is labeled Distance from Ocean Surface in meters. A straight line joins the points C at ordered pair 0,66, B at ordered pair 1, 110, A at ordered pair 2, 154, and the ordered pair 3, 198.Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C. (4 points)Part B: What are the initial value and slope of the graph, and what do they represent? ( Two systems of equations are given below For each system, choose the best description of its solution If applicable, give the solution 7 System The system has no solution The system has a unique solution 5x-*= -1 5x+y=1 The system has infinitely many solutions Systeme The system has no solution The system has a unique solution: *+ 2y 13 -* + 2y = 7 The system has infinitely many solutions. a and b agree to try to meet between 12 and 1pm for lunch. assuming that the arrival times and of a and b are uniform between 12 and 1pm, independently. if whoever comes first waits 15 minutes and then leaves, what is the probability that they actually meet for lunch? 1) To steal goods using force usually in a war or civil disorder. *absurdconspiratorpalpitateplunder The total movie attendance in a country was 1.16 billion people in 1990 and 1.40 billion in 2008. Assume that the pattern in movie attendance is linear function of time. (Need to answer questions a-d for this question - pic attached) What change to the device would increase the amount of light energy it is converting?A. adding magnets into the bulbOB. increasing the size of the bulbC. increasing the size of the vanesD. changing the vanes to be all silver Maura and her brother are at a store shopping for a beanbag chair for their school's library. The store sells beanbag chairs with different fabrics and types of filling. Velvet Suede Foam 2 7 Beads 2 7 What is the probability that a randomly selected beanbag chair is filled with beads and is made from velvet? Simplify any fractions. How many different types of alleles for a particular gene are present in a homozygous organism?a. 0b. 1c. 2d. 3e. 10