25 points !!!!!!
a 10 ml sample of borax- borate equilibrium solution reacts completely with 23.33 ml of a 0.1006 M HCl solution. calculate the concentration of borate and then the Ksp for borax​

Answers

Answer 1

Answer:

See answer below

Explanation:

To do this, you need to write down the chemical reaction giving place here.

As this is to explain the thermodynamics of the borax-borate reaction, the general reaction is as follow:

Na₂B₄O₅(OH)₄.8H₂O(s) <---------> 2Na⁺(aq) + B₄O₅(OH)₄²⁻(aq) + 8H₂O(l)

Where:

Na₂B₄O₅(OH)₄.8H₂O(s) = Borax

B₄O₅(OH)₄²⁻(aq) = Borate ion

Now, in order to calculate the concentration of borate, this compound undergoes a titration with HCl. The reaction that takes place here is:

B₄O₅(OH)₄²⁻(aq) + 2HCl + 3H₂O <---------> 4H₃BO₃(aq) + 2Cl⁻(aq)

According to this reaction, it takes 2 moles of HCl to completely react with the borate ion, therefore, the expression to calculate the concentration will be:

2 nHCl = nB₄O₅(OH)₄²⁻

2M₁V₁ = M₂V₂

Replacing the data of concentration and volume of both compounds we have:

2 * 0.1006 * 23.33 = 10M₂

M₂ = 2 * 0.1006 * 23.33 / 10

M₂ = 0.4693 M

This is the concentration of the borate. Now, to calculate the Ksp we need to write the equilibrium reaction taking place with the borax:

Na₂B₄O₅(OH)₄.8H₂O(s) <---------> 2Na⁺(aq) + B₄O₅(OH)₄²⁻(aq) + 8H₂O(l)

Ksp = [B₄O₅(OH)₄²⁻] [Na⁺]²

As we already have the concentration of borax, we can also know the concentration of sodium. If we call concentration as "s" (Stands for solubility), and rewrite the expression of Ksp:

Ksp = s * (2s)²

Finally, replacing the value of the concentration we have:

Ksp = (0.4693) (2*0.4693)²

Ksp = 0.4693 * 0.881

Ksp = 0.4134

Hope this helps


Related Questions

please help with this.

Answers

1. Double-Replacement reactions

2. Decomposition  

3. Combustion

4. Syntesis

5. Single replacement

Further explanation

Given

Chemical equations

Required

Type of reaction

Solution

1. 2AgNO₃ + MgCl₂ ⇒ 2AgCl + Mg(NO₃)₂

Double-Replacement reactions. Happens if there is an ion exchange between two ion compounds in the reactant

2. 2KBr⇒2K +Br₂

Decomposition  

Single compound breaks down in to 2 or more products

3. C₃H₈ + 5O₂ ⇒ 4H₂O + 3CO₂

Combustion

Hydrocarbon and Oxygen reaction and form water and carbon dioxide

4. NaO + H₂O ⇒ NaOH

Syntesis

2 or more reactants combine to form a single product

5. Zn + CuCl₂ ⇒ZnCl₂ + Cu

Single replacement

One element replaces another element from a compound

80g of calcium reacts with water to form 114g of calcium hydroxide and 2g of
hydrogen.
2 Ca + 2 H0+2CaOH + H,
What mass of water was used in this reaction?​

Answers

Answer:

31g

Explanation:

80g(Ca)+m(H2O)=114g(CaOH)+2g(H2)

the total mass of the prodicts doesn't change throughout the process

80g+m(H20)=116g

m(H20)=31g

Mixtures can be separated by physical processes.
A sequence of physical processes can be used to separate common salt (sodium chloride)
from a mixture containing sand and common salt only.
Give the order and the correct scientific term for the physical processes used to separate the
common salt from the mixture.

Answers

don't know sorry.........

PLEASE ANSWER 80 POINTS
Which response includes all of the following Z1) LiO2 + CO2 → Li2CO3 Z2) Cl2 + 2 NaBr → Br2 + 2 NaCl Z3) HNO3 + KOH → KNO3 + H2O Z4) SO3 + H2O → H2SO4 that are combination reactions, and none that are not combination reactions? 1. Z1 and Z4 only 2. Another reaction or another combination 3. Z1, Z3 and Z4 only 4. Z1 and Z2 only 5. Z1, Z2 and Z4 only

Answers

Answer:

z3 xCo2 + 75 = s01 + h20 = Z2

Explanation:

The study of chemicals is called chemistry.

The correct answer is A.

A combination reaction is defined as the joining of two different elements to form a new compound is called a combination reaction. A new compound is always formed in the reaction.

According to the question, in option A the [tex]Li_2Co_3[/tex] is formed and in reaction 4 [tex]H_2So_4[/tex] is formed.

Hence, the correct option is A that is Z1 and Z4.

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How many atoms are in 4.1 grams of zinc?

Answers

Answer:

1 mole of zinc has 6.023 x 1023 atoms

So, 4.1 moles will have 4.1 x 6.023 x 1023 atoms = 24.694 x 1023 atoms

Explanation:

Scientists often look at how much isotopes of ______
have decayed to help estimate the age
of a fossil or once-living material.

Answers

Answer:

If im correct it’s radioisotope

Explanation:

Scientists often look at how much of isotopes of : Carbon-14  have decayed

To determine the age of fossils archeologist make use of the carbon-14 dating ( i.e. making use of naturally occurring radioisotope ¹⁴C ) which is used to determine the age of fossils or material that were once in living on earth.

Carbon has about three (3) isotopes ( Carbon-12, Carbon-13 and Carbon-14 ) .but Carbon-14 isotope is most useful in determining the age of fossils and once-living things

Hence we can conclude that scientists often look at how much of isotopes of Carbon-14 have decayed to help estimate the age of fossils.

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5.4 g of Aluminium reacts with 300 mL of 0.2 mol/L hydrochloric acid solution. a. Write equation for the reaction taking place. b. Specify which reactant is limiting and which reactant is excess. c. Find volume of the gas collected at S.T.P d. How many grams of salt are produced at the end of the reaction? e. How many grams of the excess reactant are left ate the end of the reaction? Given: Al=27 , H=1 , Cl=35.5

Answers

HCl as a limiting reactant

volume of the gas(H₂)= 0.672 L

mass of salt : =2.67 g

mass of excess left :  4.86 g

Further explanation

Given

5.4 g Al

300 mL of 0.2 mol/L HCl

Required

limitng reactants

volume of the gas(H₂)

mass of salt

mass of excess left

Solution

Limiting reacttant

Reaction

2Al + 6HCl → 2AlCl₃ + 3H₂

mol Al = 5.4 g : 27 g/mol = 0.2

mol HCl = 0.3 L x 0.2 mol/L = 0.06

mol : coefficient of reactants :

Al = 0.2 : 2 = 0.1

HCl = 0.06 : 6 = 0.01

HCl as a limiting reactant(smaller ratio)

Al as an excess reactant

volume of H₂

mol H₂ = 3/6 x mol HCl = 3/6 x 0.06 = 0.03

volume (STP : 1 mol=22.4 L) :

= 0.03 x 22.4 L

= 0.672 L

mass of salt(AlCl₃)

mol AlCl₃ = 2/6 x mol HCl = 2/6 x 0.06 = 0.02

mass AlCl₃ :

= mol x MW

= 0.02 x 133.5

=2.67 g

mass of excess(Al) left

mol (reacted) : 2/6 x mol HCl = 2/6 x 0.06 = 0.02

mol (unreacted) : 0.2 - 0.02 = 0.18

mass = 0.18 x 27 g/mol = 4.86 g

help me please asap ...........................................

Answers

3. The Chemical property of an unknown element is the number of valence electrons
4. The number of protons in one atom of an element
Hope I helped :))

"Henry mixed salt and water together in a cup until he observed a clear solution. He measured the mass of the solution. Then he placed the cup outside for several sunny days during the summer. After a week, he observed that only solid salt remained in the cup and the mass had decreased. Henry concluded that a physical and chemical change occurred in this investigation."

Which statements correctly defend or dispute his conclusion?

A.)He is correct. Dissolving salt in water is a physical change, but evaporating the water is a chemical change. Formation of a solid is evidence that a chemical change occurred.

B.)He is correct. Evaporation is a physical change, but dissolving salt in water is a chemical change. The change in mass is evidence that a chemical change occurred.

C.)He is incorrect. Dissolving salt in water and evaporation of the water are both physical changes. The reappearance of salt is evidence that the change was reversible by a physical change, so it could not be a chemical change.

D.)He is incorrect. Dissolving salt in water and evaporation of the water are both chemical changes. The reappearance of salt is evidence that the change was reversible by a chemical change, so it could not be a physical change.

Answers

Answer:

C.)He is incorrect. Dissolving salt in water and evaporation of the water are both physical changes. The reappearance of salt is evidence that the change was reversible by a physical change, so it could not be a chemical change.

Explanation:

From the analogy of the problem presented, we can see that Henry is grossly incorrect. His conclusion from the process of the experiment he carried out is completely wrong.

Physical changes are changes that alters the physical properties of matter particularly the form and state.

Chemical changes leads to the formation of a new kind of matter.

 We can see that since the salt was obtained back after evaporation, no change has occurred to it.

Therefore, evaporation in itself is a physical change process.

Answer:

c on ed

Explanation:

At the end of which era did the dinosaurs became extinct?

Cenozoic

Jurassic

Mesozoic

Paleozoic

Answers

Answer:

Cretaceous Period

Explanation:

Dinosaurs went extinct about 65 million years ago (at the end of the Cretaceous Period), after living on Earth for about 165 million years.

At the end of the Cretaceous Period

Which of the following is a mechanical wave?
a
An X-ray taking photos of your bones with X-rays
b Ocean waves crashing on the shore
CUV rays giving you a sunburn
d A microwave oven heating food with microwaves
e
Radios picking up radio waves

Answers

Answer:

I think A and D and E

Explanation:

that is an example of mechanical wave

PLZ HELP ME IM FAILING!

Everything you need to know about the question is on the photo

Answers

Answer:

C. NH₄Cl

Explanation:

The compound with the element ratio 1 : 4 : 1 from the given choices is NH₄Cl.

An element is a pure substance made up of distinct number of atoms. Elements are unique and are different from other elements because of the nature of their atoms.

We often delineate an element using chemical symbols.

   In the compound NH₄Cl;

There are 3 elements:

           Number of atoms

N                      1

H                      4

Cl                     1

if an ion has 13 protons and 10 electrons what is the charge on the ion?

Answers

Answer:Al3+ indicates an ion of aluminum having a charge of + 3. I.e., since an aluminum atom normally has 13 protons and 13 electrons, this ion has 10 electrons (-10 charge) and 13 protons (+ 13 charge) giving it a charge of + 3 (-10 + 13 = +3).

Explanation:

The ion will have a charge of +3

The components of an atom and their charges are:

protons which have a positive charge electrons which have a negative charge neutrons which have no charge

The charge of an ion will therefore depend on the number of electrons and protons as they cancel each other out.

The number of excess protons in this ion will be:

= Number of protons - number of electrons

= 13 - 10

= 3

Protons have a positive charge so there will be a charge of +3 as there are 3 excess protons.

In conclusion, this ion will have a charge of +3.

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Two bungee jumpers with the same mass stand on two buildings. One stands on a building 100ft tall and the other a building that is 200ft tall. Which has more potential energy and why?

Answers

Bungee jumpers that stand on a 200 ft building

Further explanation

Given

A building 100 ft tall

A building 200ft tall

Required

Which has the greatest potential energy

Solution

Potential energy is owned by an object because of its height

Can be formulated :

PE = m . g . h

g = acceleration due to gravity ,(m/s²)  

h = height , (m)  

m = mass, (kg)  

So PE is influenced by 3 factors:

the object's mass, its gravitational acceleration at that place and its height

Because the mass and gravitational acceleration are the same, the largest PE is owned by bungee jumpers that stand on a 200 ft building

Define Strain
HELP ASAPPP!!!!!

Answers

Answer:

Ratio of the change in length to original length.

Explanation:

(Δl)/l

A 2.5 L container holds a sample of hydrogen gas at 291 K and 180 kPa.

If the pressure increases to 350 kPa and the volume remains constant, what will the new temperature be?

Round your answer to one decimal place.

Answers

Answer:

The new temperature will be 565.83 K.

Explanation:

Gay Lussac's law establishes the relationship between the temperature and the pressure of a gas when the volume is constant. This law says that the pressure of the gas is directly proportional to its temperature. This means that if the temperature increases, the pressure will increase; or if the temperature decreases, the pressure will decrease.

In other words, Gay-Lussac's law states that when a gas undergoes a constant volume transformation, the ratio of the pressure exerted by the gas temperature remains constant:

[tex]\frac{P}{T} =k[/tex]

When an ideal gas goes from a state 1 to a state 2, it is true:

[tex]\frac{P1}{T1} =\frac{P2}{T2}[/tex]

In this case:

P1= 180 kPaT1= 291 KP2= 350 kPaT2= ?

Replacing:

[tex]\frac{180 kPa}{291 K} =\frac{350 kPa}{T2}[/tex]

Solving:

[tex]T2=350 kPa*\frac{291 K}{180 kPa}[/tex]

T2= 565.83 K

The new temperature will be 565.83 K.

Write your explanation on how plants
nake their own food?
imnortont bynroduct of

Answers

Answer:

photosynthesis  are ligt water and carbon dioxide

Explanation:

Plants make their own food out of inorganic compounds through a process called photosynthesis that takes place in the leaves. The ingredients necessary for photosynthesis are light, water and carbon dioxide.

900 mL of water is added to 100 mL of a 0.1 M solution. What is the new concentration?
0.1M
0.001M
0.0001M
0.01M

Answers

Answer:

The new concentration of the solution is;

0.01 M

Explanation:

The question relates to concentration of solution and proportion of mixtures

The given parameters are;

The volume of water added to the 0.1 M solution = 900 mL

The initial volume of the solution to which water was added = 100 mL

Therefore, the total final volume of the solution = 100 mL + 900 mL = 1000 mL = 1 L

The concentration of the solution = 0.1 M

The number of moles present in the solution, 'n', is given as follows;

n = 100 mL/(1000 mL) × 0.1 M = 0.01 moles

Given that no more concentrated solution was added, we have;

The number of moles in the 100 mL solution   = The number of moles in the 1,000 mL solution

Therefore, the number of moles in the 1,000 mL (1 L) solution = 0.01 moles

Therefore;

The new concentration of the 1,000 mL (1 L) solution = 0.01 moles/(1,000 mL) = 0.01 moles/(1 L) = 0.01 M (By definition of the molarity of a solution)

The new concentration of the 1,000 mL (1 L) solution = 0.01 M.

D. 0.01 M

Given:

The volume of water added to the 0.1 M solution = 900 mL

The initial volume of the solution to which water was added = 100 mL

So,

The total final volume of the solution = 100 mL + 900 mL = 1000 mL = 1 L

The concentration of the solution = 0.1 M

Firstly we need to find the number of moles which is represented by 'n':

 [tex]n = \frac{100mL}{1000mL}* 0.1 M\\\\n = 0.01 \text{moles}[/tex]

 The number of moles in the 100 mL solution   = The number of moles in the 1,000 mL solution

Thus,

The number of moles in the 1,000 mL (1 L) solution = 0.01 moles  

For calculation of new concentration:

Using Molarity formula:

The new concentration of the 1,000 mL (1 L) solution [tex]= \frac{0.01\text{ moles}}{1000mL} = \frac{0.01\text{ moles}}{1L} = 0.01 M[/tex]

The new concentration of the 1,000 mL (1 L) solution = 0.01 M.

Thus, the correct option is D.

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Why is it not possible to use solid sodium hydroxide directly to make a standard NaOH
solution?

Answers

Answer:

Sodium hydroxide is deliquescent (absorbs moisture from the atmosphere) solid. It cannot be weighed accurately. Therefore, it is not possible to prepare a standard solution of sodium hydroxide of accurately known concentration by weighing NaOH.

HELP PLEASE!

Which below, are the smallest basic units of matter?

molecules

ozone

atoms

vitamin E

Answers

Answer:

atoms

Explanation:

10 points!! Please give me work with it and I will mark as brainlist.

Answer the question below. Use the rubric in the materials for help if needed.
A compound is 40.0 % C, 53.3 % 0, and 6.66 % H What is its molecular formula if its molecular mass is 60 g? Show all your work.

Answers

Answer: The molecular formula will be [tex]C_2H_4O_2[/tex]

Explanation:

If percentage are given then we are taking total mass is 100 grams.

So, the mass of each element is equal to the percentage given.

Mass of C = 40.0 g

Mass of O = 53.3 g

Mass of H = 6.66 g

Step 1 : convert given masses into moles.

Moles of C =[tex]\frac{\text{ given mass of C}}{\text{ molar mass of C}}= \frac{40.0g}{12g/mole}=3.33moles[/tex]

Moles of O =[tex]\frac{\text{ given mass of O}}{\text{ molar mass of O}}= \frac{53.3g}{16g/mole}=3.33moles[/tex]

Moles of H =[tex]\frac{\text{ given mass of H}}{\text{ molar mass of H}}= \frac{6.66g}{1g/mole}=6.66moles[/tex]

Step 2 : For the mole ratio, divide each value of moles by the smallest number of moles calculated.

For C = [tex]\frac{3.33}{3.33}=1[/tex]

For O =[tex]\frac{3.33}{3.33}=1[/tex]

For H = [tex]\frac{6.66}{3.33}=2[/tex]

The ratio of C : O : H = 1: 1: 2

Hence the empirical formula is [tex]COH_2[/tex]

The empirical weight of [tex]COH_2[/tex] = 1(12)+1(16)+2(1)= 30g.

The molecular weight = 60 g/mole

Now we have to calculate the molecular formula.

[tex]n=\frac{\text{Molecular weight }}{\text{Equivalent weight}}=\frac{60}{30}=2[/tex]

The molecular formula will be=[tex]2\times CH_2O=C_2H_4O_2[/tex]

Which statement describes the conditions in which diamonds form?
A.they form deep underground, in certain areas that are under a great deal of pressure.
B.they form as water evaporates on the shores of very salty bodys of water.
C.They form as water evaporates on the shore of any body of water.
D.they form deep underground, in most regions of earth.

Answers

A. Diamonds not created in a lab need specific extreme conditions to be formed. This is why they are a precious stone.

Answer:

a

Explanation:

The best way to separate sesame seeds from salt solution is _____

1 :Filtration
2:Osmosis
3 :Distillation
4 : evaporation​

Answers

Answer:

Filtration is the answer

Which of the following is true for an excess reactant?

A) It is the reactant whose atoms remain unbalanced in the equation.
B) It is the reactant that produces a smaller amount of a product.
C) It is the reactant that is left over after the reaction stops.
D) It is the reactant that produces one mole of a product.

Answers

Answer:

C) It is the reactant that is left over after the reaction stops.

Explanation:

The excess reactant is the reactant that is left over after the reaction stops. The extent of the reaction is not determined by this reactant.

A limiting reactant is a reactant that is in short supply within a given reaction.

Such reactants determines the extent of chemical reaction.

Limiting reactants are used up in a chemical reaction. The excess reactants remains unchanged after the reaction.

Answer: C) It is the reactant that is left over after the reaction stops.

Explanation:

What does the pH of a solution represent?


A. The pH represents the partial pressure of hydrogen gas.


B. The pH tells how quickly a reaction reaches equilibrium.


C. The pH indicates how acidic or basic a solution is.


D. The pH is an indicator of the salt content of a solution.

Answers

Answer:

The pH indicates how acidic or basic a solution is.

Explanation:

i just took the test and got it right.

pH of a solution is the measure of how acidic or basic the solution is. It is determined based on the H+ ion concentration in the solution. Hence, option C is correct.

What is pH?

pH of a solution is the measure of the H+ ion concentration in a solution. It determines the acidity or basicity of the solution. Mathematically it is the negative logarithm of H+ ions concentration.

pH = - log [H+]

A pH scale can be used to determine the acidity or basicity of a solution. If the basicity is 7, then the solution is neutral. If the pH is less than 7 then the solution is acidic and a pH above 7 is basic solution.

Red- green color in pH scale represent the acidic solution where green is neutral and cyan to dark blue color is given by bases. Using a litmus paper the acidity can be checked based on these color change.

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6.900x10^10 ÷ 4.000x10^8

Answers

Answer:

1.725e+18

Explanation:

What is the volume of 4.78g of O2 gas at STP?

Answers

Answer:

Explanation:

The trick here is to realize that if you know the volume of a gas at STP, you can use the fact that

1

mole of any ideal gas occupies

22.7 L

under STP conditions to calculate how many moles of gas you have in your sample.

Under STP conditions:

1 mole of an ideal gas = 22.7 L

−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−−

In your case, you know that your sample of gas occupies

2.28 L

under STP conditions, which are currently defined as a pressure of

100 kPa

and a temperature of

0

C

.

This means that your sample will contain

2.28

L

molar volume of a gas at STP



1 mole gas

22.7

L

=

0.10044 moles gas

Now, the molar mass of the gas is the mass of exactly

1

mole of the gas. In your case, you know that you get

3.78 g

for every

0.10044

moles, which means that you have

1

mole

3.78 g

0.10044

moles

=

37.6 g

Since this is the mass of

1

mole of gas, you can say that the molar mass of the gas is

molar mass = 37.6 g mol

1

−−−−−−−−−−−−−−−−−−−−−−−

i’m not surreeeeeeeeeee

Is a cell wall found in a plant cell?

Answers

Answer:

A plant cell has a cell wall but an animal cell dosnt have one

Explanation:

Brainliest plz

Explanation:

the cell wall surrounds the plasma membrane of the plant and provides tensile strength and protection against mechanical

Oxygen gas is at a temperature of 145 K when it occupies a volume of
1.45 Liters. To what temperature should it be raised to occupy a volume of 6.50
Liters? Show your work. (Express your answer in Kelvin)

Answers

Answer:650K

Explanation:

Answer: 650K (1.45/145 = 6.50/x)

Explanation:

You eat a snack that has 190 Calories, how many kilojoules did you consume? PLEAS HELP ME I need the work too pls

Answers

Answer:

794.96 kilojoules

Explanation:

multiply 190 by 4.184

There are 0.798 kilojoules an individual must consume when he/she takes a snack that has 190 Calories.

What is one Calorie?

One calorie may be defined as a unit for measuring heat wjhich is equivalent to the amount of heat required to increase the temperature of one gram of water one degree Celsius.

According to the question,

The amount of calories a snack contains = 190 calories

Now, you should be required to convert calories into Joules.

1 calorie ≅ 4.2 Joules.

190 calories = 190 × 4.2 = 798 Joules.

Now, according to the conversion factor, 1 kilojoule = 1000 joules

798 Joules = 798/1000 = 0.798 kilojoules.

Therefore, there are 0.798 kilojoules an individual must consume when he/she takes a snack that has 190 Calories.

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Points are plotted at (one, three), (one, four), (two, two), (two, five), (two, six), (three, one), (three, four), (nine, six). please help due asap Beth is selling tickets for a dinner at her school.* Adult's tickets cost $6.00 eachChildren's tickets cost $4.50 each* Beth sold a total of 520 tickets* Beth's ticket sales totaled $2,707.50.How many tickets of each type were sold?A. 245 children's tickets, 275 adult's ticketsB. 257 children's tickets, 263 adult's ticketsC. 260 children's tickets, 260 adult's ticketsD. 275 children's tickets, 245 adult's tickets If sin >0 and tan How was Louisianas economy affected by the Civil War? what is the september massacre 5)Solve: 5x - 7x + 6 = -2(x - 3).A)0B)mit2infinitely many solutions Las chicaspor la maana. (maquillarse) Kyla spends 60 minutes of each day exercising. Let be the number of days that Kyla exercises, and let represent the total minutes of exercise in a given time frame. Show the relationship between the number of days that Kyla exercises and the total minutes that she exercises.What is the independent variable? Ayo help a girly out(1)Simplify each expression. (Make sure to find those "like" terms)3x + 9 + 2x 5 Options: 6x + 414x - 59x5x + 4______________________________________________________________(2)Simplify each expression. (Make sure to find those "like" terms)7m + 2(m 5y)Options: 14m - 5y9m - 10y9m - 5y7m + 10y_________________________________________________________________If you're helping tysm my guy ily What is the solution of this equation -4z+7=2y-3 Item 2(1) The saying goes, Find a penny, pick it up. (2) All day long, youll have good luck. (3) According to economists, however, stopping to pick up a penny is a waste of time: for those few seconds of work, you earn less than minimum wage. (4) Considering that the penny has virtually no purchasing power, it does nothing except add unnecessary weight to our pockets and purses. (5) The United States should follow the lead of other countries and discontinue the penny, because it is obsolete and costs more than it is worth.(6) The penny has become useless as a means of exchange. (7) As economist Greg Mankiw says, When people start leaving a monetary unit at the cash register for the next customer, the unit is too small to be useful. (8) Pennies once had notable value, but decades of increasing prices sapped their individual buying power, and today you cant even use them in vending machines or parking meters. (9) Its no wonder that pennies get tossed in fountains, forgotten under sofa cushions, or abandoned on the sidewalk.(10) In 2001, it cost 0.79 cents to make a penny, but now, with metal costs increasing, the cost has changed in a noteworthy way. (11) Thus, the United States Mint loses money for every penny it produces; in 2014, for instance, it lost $55 million producing pennies. (12) They also waste retailers and consumers time. (13) A recent study showed that counting pennies at the register adds an average of two seconds to every cash transaction. (14) This adds up to about 2.4 hours a year for the average American.(15) Penny defenders fear that rounding prices to the nearest nickel will result in higher prices for consumers. (16) However, other countries, such as Canada and New Zealand, have successfully retired the penny without a significant increase in prices. (17) Moreover, the United States retired the half cent in 1857 when it lost its value and saw no ill effects in the economy.(18) Despite the compelling reasons to get rid of the penny, nearly half of Americans oppose the idea. (19) In 2013, President Obama acknowledged that people have a sentimental attachment to the penny.In sentence 19 (reproduced below), the writer wants to change the conclusion by adding a direct quotation that both reinforces the main argument of the passage and places that argument in a broader context.In 2013, President Obama acknowledged that people have a sentimental attachment to the penny.Which version of the underlined text best accomplishes this purpose?penny, saying, We remember our piggy banks and counting out all the pennies and then taking them in and getting a dollar bill or a couple of dollars from it.A. penny and argued that discontinuing the penny is not going to be a huge savings for government.B.penny but argued that the coin is a sign of government inefficiency, calling it a good metaphor for some of the larger problems that weve got.C. penny and, in an interview, said that the issue is one of those things where I think people get attached emotionally to the way things have been.D. penny and, when asked why the penny hasnt been withdrawn from circulation yet, replied, I dont know. What does the underlined word mean in the following sentence?Prends la lettre et va (go) la poste.O police stationO ZOOO post officeO bank Suppose you want to start saving for retirement. You decide to continuously invest $20000 of your income each year in a risk-free investment with a 7% yearly interest rate, compounded continuously.If yy is the value of the investment, and tt is in years:dydt=dydt=Your answer should be in terms of yy.You start investing at t=0t=0 so y(0)=0y(0)=0.y(t)=y(t)=What is the size of your investment after 30 years. How did the French Revolution play in Napoleon Bonaparte's favor, allowing him to quickly move up the ranks and eventually declare himself Emperor? The cost of a new television is $948. If the value of the television decreases by 4.5% every year, which function models the value of this new television x years after it was purchased? HELPHow do I tell my chemistry teacher that Im catching up on my notebook because I still have to take notes down What is the solution to the system of equations?y = 3x - 8y = 4 - X