How do simple machines make work easier?
They increase the distance of applied forces.
They change the strangth or direction of a force.
o They add energy to the work.
O
They reduce the speed of work.

Answers

Answer 1

Answer:

They increases the distance of applied force(torque)as well as they change the strenght or direction of a force(90 angle work).

Explanation:

Answer 2

Answer:

W=f× d

Increase the distance of applied forces

Explanation:

Increasing the distance between applied forces increases the work done on the machine which makes work easier..they change the direction and strength of the force.


Related Questions

If a student analyzes data and finds that they got 0.480 moles of an unknown metal and 0.240 moles of oxygen, what is the mole ratio of metal to oxygen?

Answers

Answer:

The ratio of the metal to oxygen is 2:1

Explanation:

Given parameters:

Number of moles of unknown metals = 0.48moles

Number of moles of oxygen = 0.24moles

To find the mole ratio:

We divide the given moles by the smallest values. This gives the simplest form of the two elements:

    Elements                          Unkown metal                Oxygen

Number of moles                      0.48                              0.24

simplest form                          0.48/0.24                   0.24/0.24

                                                       2                                    1

The ratio of the metal to oxygen is 2:1

Final answer:

The mole ratio of an unknown metal to oxygen, given 0.480 moles of the metal and 0.240 moles of oxygen, is 2:1. This ratio was calculated by dividing the number of moles of the metal by the number of moles of oxygen.

Explanation:

The mole ratio of metal to oxygen can be determined by dividing the number of moles of each element by each other. In this case, we are given that there are 0.480 moles of an unknown metal and 0.240 moles of oxygen. To find the mole ratio, we divide the moles of the metal by the moles of oxygen:

Mole ratio = moles of metal / moles of oxygen = 0.480 moles / 0.240 moles = 2:1.

This means for every 2 moles of the metal, there is 1 mole of oxygen, which is the required mole ratio of metal to oxygen.


Deduce the formula of the ion that has a charge of 2+ with the same electron configuration as krypton.

Answers

Answer:

Sr²⁺

Explanation:

Krypton has 36 electrons and an electron configuration of 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6. An ion with a charge of 2+ and 36 electrons is Sr²⁺. Since it has the same amount of electrons, Sr²⁺ also has an electron configuration of 1s2 2s2 2p6 3s2 3p6 4s2 3d10 4p6.

The formula of the ion is Sr²⁺

From the periodic table, we understood that Krypton (Kr) has 36 electrons.

From the question given above, we were told that the ion has the same electronic configuration as krypton. Thus,

The ion also have 36 electrons.

Finally, we shall determine the number of protons in the ion in order to determine the element that form the ion and also the symbol of the element.

Electrons in the ion = 36

Charge on ion = +2

Protons in the ion =?

Charge = Proton – Electron

2 = Proton – 36

Collect like terms

Proton = 2 + 36

Proton = 38

Considering the period table, the element with 38 protons (i.e atomic number of 38) is strontium with symbol Sr.

Therefore, the formula of the ion with the same electron configuration as krypton is Sr²⁺

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Convert: 65 kg to mg
65,000 mg
O 65,000,000 mg
O 65 mg

Answers

Answer:

kg, mg. 65.00, 65,000,000. 65.01, 65,010,000. 65.02, 65,020,000. 65.03, 65,030,000. 65.04, 65,040,000. 65.05, 65,050,000. 65.06, 65,060,000.

Explanation:

65,000,000mg
Reasoning: move the decimal point 6 places to the right (right because it’s going to a smaller unit)

According to the Law of Conservation of Mass, the number of iron atoms needed to complete the following reaction is ___ Fe + 3O2 → 2Fe2O3

Answers

Answer:

is 4

Explanation:

                      Fe + 3O₂ → 2Fe₂O₃

The law of conservation of mass states that "matter is neither created or destroyed in a system". Now, by careful inspection of the atoms reacting and the product formed, we see that the equation is not balanced.

Fe on reactant side is 1 but 4 on the product side. To balance it up, we simply put 4 as the coefficient behind the iron atoms.

                              4Fe + 3O₂ → 2Fe₂O₃

Answer:

4

Explanation:

TRUST ME

There are _________ pennies in 1.500 moles of pennies? (for scientific notation, use the ^ symbol similar to 2.02 x 10^5)

Answers

Answer:

9.03 x 10²³ atoms in the pennies

Explanation:

I suspect you want to find the number of atoms that makes up the given moles of the pennies:

Number of moles of pennies = 1.5 moles

Solution:

The mole can be defined as the amount of a substance that contains Avogadro's number of particles i.e 6.02 x 10²³atoms.

 number of atoms = number of moles x 6.02 x 10²³ = 1.5 x 6.02 x 10²³

  number of atoms = 9.03 x 10²³ atoms

A student mixes two clear liquids together. After a few minutes, a white powdery solid can be seen settling on the bottom of the test tube. Which of the following is a conclusion that the student can draw based on these observations?
A:The two liquids are toxic and should be handled with extreme caution.
B:The two liquids were pure substances before they were mixed.
C:The two liquids have been stored too long and are no longer good.
D:The two liquids have gone through a chemical change in which a new substance called a precipitate was produced.

Answers

Answer:

D

Explanation:

Answer:

The correct answer is D; the new substance produced is a precipitate.

Explanation:

Essentially what happened was the two liquids could not mix (insolubility), so a white powder settled at the bottom, which is called a precipitate (residue). This is evidence of chemical change and chemical reaction.

An atom of a chlorine has an atomic number of 17and a mass number of 37 how many protons neutrons and electrons are in a atom???? Need help!!!!

Answers

Answer:

number of protons =17

number of neutrons=20

number of electrons=17

Atomic number is the same as proton number

To find the neutrons

subtract the atomic number from the mass number

thus, Neutrons =Mass number - Atomic number

Neutrons=37-17

Neutrons=20

An atom of a chlorine has an atomic number of 17and a mass number of 37 . The number of protons =17 ; number of neutrons=20; number of electrons=17

The Atomic number of an element is the same as proton number

And, To find the number of  neutrons we need to subtract the atomic number from the mass number

given,

atomic number =17

mass number= 37

thus, Number of  Neutrons =Mass number - Atomic number

Number of Neutrons=37-17

number of Neutrons=20

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A neutral atom with 6 electrons and 8 neutrons is an isotope of

Answers

Answer:

It's an isotope of carbon

Explanation:

Isotopes have the same number of protons and electrons but a different number of neutrons.

Carbon, like we find it on the periodic table, has 6 electrons and protons and also 6 neutrons. ( Carbon has a standard molecular weight of 12: 6electrons + 6 neutrons)

This isotope has 6 electrons but 8 neutrons, so this represents Carbon-14. Which is an isotope of carbon.

Final answer:

The atom with 6 protons or electrons is Carbon. However, the mention of 8 neutrons indicates this is an isotope of Carbon, specifically Carbon-14.

Explanation:

A neutral atom with 6 electrons would also contain 6 protons, as the number of protons and electrons in a neutral atom are equal. The element with 6 protons is Carbon, but the presence of 8 neutrons, not 6 (that is associated with Carbon-12), indicates this is an isotope of Carbon, specifically Carbon-14. It's important to note that isotopes are variations of an element that have different numbers of neutrons.

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8) These are the interactions in physical systems that do not appear to be reducible to more basic interactions. They include: gravitational, electromagnetic, strong nuclear, and weak nuclear

Answers

Answer:

The fundamental forces or interactions is a term used in physics that explains the Forces that present in nature in their most basic form and cannot be further reduced.

Explanation:

The force of gravitation and the subatomic forces present inside the atom also known as some nuclear reactions and electromagnetic reaction are certain examples of fundamental forces.  all these forces are in their basic form of nature.

These  all make four such forces while another fifth force is a hypothetical one and is believed to be in existence hypothetically by the scientists.

Which sample of matter is classified as a solution

Answers

Answer: Air, sea water, and carbonation dissolved in soda are all examples of homogeneous mixtures, or solutions. Hope this helps :)

Which statements accurately describe electronic tools? Check all that apply.

Electronic tools collect large amounts of data.
Electronic tools take a long time to record data.
Electronic tools collect data with little precision.
Electronic tools display data quickly and clearly.
Electronic tools provide accurate data analysis.
Electronic tools require lots of space for data storage.

Answers

Answer:

Out of all the six options that we are given option one option four and option five would be correct regarding electronic tools.

Electronic tools collect large amounts of data.Electronic tools display data quickly and clearly. Electronic tools provide accurate data analysis.

Explanation:

Since electronic tools are made with the purpose of calculation that can be made easier and faster. Hence the option that suggest that electronic tools give the answers quickly and clearly should be correct.

Secondary the option that says electronic tools can have a large amount of data is also true. Because large amount of calculations can be carried out using electronic tools easily. And since the data is clear the  data analysis will also be accurate.

Answer:

just summing up what the other person said;

A D and E :)

Explanation:

Which of the following shows examples of things that convert electrical energy to thermal energy? Fan and wind turbine Toaster and room heater Airplane and human body Natural gas stove and blender

Answers

Answer:

The answer is the toaster and the room heater.

Explanation:

Both objects are powered by electricity in order to heat things, such as bread and people.

Hope this helps!

Answer:

Option (2)

Explanation:

The process by which one type of energy is transformed into another type is known as the conversion of energy . The changing of electrical energy to thermal energy is an example of energy conversion.

The room heaters are used to heat the room, maintaining a certain room temperature, and a toaster is used to make toasts. Both the room heater and the toaster are the two things from the given options that are used widely and it converts energy, from electrical to thermal energy.

Thus, the correct answer is option (2).

Gold has a latent heat fusion of 64.5 J/g. How much energy is required to melt 20.0 g of gold?

Answers

Answer:

The amount of heat require to melt the gold is 1290 J.

Explanation:

Formula:

Q = m × Lf

Q = heat required to melt the substance

m = mass of given substance

Lf = Latent heat of fusion

Given data:

Lf = 64.5 j/g

m = 20 g

Q = ?

Now we will put the values in formula.

Q = m × Lf

Q =  20 g × 64.5 j/g

Q = 1290 J

The amount of heat require to melt the gold is 1290 J.

Answer:

The amount of heat require to melt the gold is 1290 J.

Explanation:

What portion of the cell provides the energy for mitosis and other functions?

Answers

Answer:

The cell that helps provide the energy for mitosis is Process of cell division that results in to identical daughter cells.

Beryllium (Be): 1s 2s
C=
D=

Answers

Be has a atomic no. 5
So it's configuration is 1s1,2s2

The electronic configuration of Be(beryllium) is [tex]1s^{2} 2s^{2}[/tex], C = 2 and D = 2.

What is electronic configuration?

The placement of electrons all around nuclei of a specific atom or molecule would be known as its electronic configuration.

What is Be(beryllium)?

The Be atom is a kind of atom which have 4 electrons.

The electronic configuration of Be is  [tex]1s^{2} 2s^{2}[/tex]. Therefore, C = 2 and D = 2.

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PLEASE ANSWER FAST

A scientist had two substances. One was a yellow liquid and the other was a colorless liquid. The scientist added a few drops of the yellow liquid to the colorless liquid. A red solid formed. What most likely happened when the scientist mixed the two liquids?


A. The two substances stayed the same and no new substances were formed.

B. A new substance with properties identical to the colorless liquid was formed.

C. A new substance with properties identical to the yellow liquid was formed.

D. A new substance with properties different from either of the liquids was formed.

Answers

Answer:

D. A new substance with properties different from either of the liquids was formed.

Explanation:

This is a simple chemical reaction. When chemical reactions occur, bonds are simply broken and rearranged and new ones formed. Formation of new compounds can be seen and clearly observed. These compounds are completely different in properties from the atoms and compounds that combines to form them.

If they still share the same property in anyway, then, there was only a physical combination of the compounds and this implies the formation of a mixture

Answer:

D. A new substance with properties different from either of the liquids was formed.

The correct option that is the answer for the question is option d

Explanation:

In the given question two liquids of different colours are mixed together. One of them has yellow colour, while the other is colourless on mixing we see that the new substance that is formed is neither yellow nor colourless.

And the mixture that is formed is a substance which is not liquid and solid of red colour and we can conclude, that the mixture form does not retain any property of the elements from which it is made. Hence we can say a new substance with different properties are formed.

how many milliliters are in 0.063 L?

Answers

63 milliliters are in 0.063

To convert 0.063 liters into milliliters, 0.063 will be multiplied by 1000 which will give 63 milliliters.

The question asks how many milliliters are in 0.063 liters. To convert liters to milliliters, we use the conversion factor that 1 liter is equal to 1000 milliliters. Since we are converting from a larger unit (liters) to a smaller unit (milliliters), we need to multiply.

To find the answer, we multiply 0.063 liters by 1000 milliliters/liter:

0.063 L × 1000 mL/L = 63 mL

Therefore, 0.063 liters is equal to 63 milliliters.

Writing the Chemical Formula of a Covalent Compound
Phosphorus trichloride is used in the production of chemicals that keep plants from growing in a specific area. This
compound is made of one phosphorus atom represented by the chemical symbol P and three chlorine atoms
represented by the chemical symbol Cl.
What is the chemical formula of this compound?
PCI
PC13
е РЗСІ
1P3C1
Intro
Done

Answers

Answer:

PCl₃  

Explanation:

If a molecule contains one P atom and three Cl atoms, its formula must be PCl₃.

A is wrong, because the formula PCl means one atom of P and one of Cl.

C and D are wrong, because the formula P₃Cl indicates a molecule consisting of three P atoms and one Cl atom.

Answer:

PCl sub-3

Explanation:

just checked!!!

An electron has an uncertainty in its position of 471 pm .

Answers

Answer:

[tex]$\Delta x . \Delta p \geq \frac{h}{4 \pi}$[/tex]

∆x is the Uncertainty in the position of the particle

∆p is the Uncertainty in the momentum of the particle

[tex]$\Delta p=\frac{h}{4 \pi \times m \times \Delta x}$[/tex]

[tex]$=\frac{6.626 \times 10^{-34} \mathrm{kgm}^{2} s^{-1}}{4 \times 3.14 \times 9.109 \times 10^{-31} \mathrm{kg} \times 471 \times 10^{-12} \mathrm{m}}$[/tex]

[tex]$=\frac{6.626 \times 10^{-34} \mathrm{ms}^{-1}}{53887 \times 10^{-43}}$[/tex]

[tex]=1.23\times10^5 ms^{-1}[/tex] is the answer

How many atoms of silicon are in 1.8mol of silicon?

Answers

Answer:

10.836 × 10∧23 atoms

Explanation:

The mole is the unit of amount in chemistry. We know that

1 mole of silicon = 6.02× 10∧23 atoms

The number 6.02× 10∧23 is called Avogadro's number.

Definition:

" Avogadro's number is the number of molecules atoms or ions in one gram molecule of a compound, one gram atom of an element or one gram ions of a substance"

For example:

1 g of hydrogen = 1 mole of hydrogen = 6.02× 10∧23 atoms of hydrogen

18 g of water= 1 mole of water= 6.02× 10∧23 molecules of water

Given data:

moles of sulfur= 1.8 mol

number of atoms= ?

Solution:

one mole of silicon=  6.02 × 10∧23

1.8 × 6.02× 10∧23 = 10.836 × 10∧23 atoms

Explanation:

According to the mole concept there are [tex]6.022 \times 10^{23} atoms[/tex] present in 1 mole of a substance.

Mathematically,    1 mole = [tex]6.022 \times 10^{23}[/tex] atoms or molecules

Therefore, number of atoms of silicon present in 1.8 mol of silicon are as follows.

          [tex]1.8 mol \times 6.022 \times 10^{23}}atoms /mol[/tex]

                 = [tex]10.83 \times 10^{23}[/tex] atoms

Thus, we can conclude that there are [tex]10.83 \times 10^{23}[/tex] atoms of silicon are present in 1.8 mol of silicon.


If 3.5 g of element X reacts with 10.5 g of element Y to form the compound XY.
what is the percent by mass of element X in the compound? The percent by mass
of element Y?

Answers

Answer:

The percentage by mass of element X is 25 %.

The percentage by mass of element Y is 75 %

Explanation:

X + Y ⇒ XY

3.5 g of element X + 10.5 g of element Y = 14g in total

⇒Element X : 3.5g / 14g = 0.25 ⇒ x 100 % = 25 %

⇒Element Y : 10.5 / 14 = 0.75 ⇒ x 100 % = 75 %

The percentage by mass of element X is 25 %.

The percentage by mass of element Y is 75 %

Final answer:

The percent by mass of X in the compound is 25%, and the percent by mass of Y in the compound is 75%.

Explanation:

The total mass of the compound formed by elements X and Y is the sum of the masses of X and Y, which is 3.5 g + 10.5 g = 14 g. The percent by mass of an element in a compound is calculated by taking the mass of the element and dividing it by the total mass of the compound, then multiplying by 100% to convert the decimal to a percent.

So, the percent by mass of X is (3.5 g / 14 g) × 100% = 25%. The percent by mass of Y is (10.5 g / 14 g) × 100% = 75%.

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Why is data important to scientific endeavor?

A- Data is the information that supports or does not support a hypothesis.

B-Data is the information that proves all hypotheses are correct.

C-Data is the information that proves whether or not a scientist is biased.

D-Data is necessary to form a hypothesis.

Answers

Answer:

b. data is the information that proves all hypotheses are correct

Explanation:

Data is important to scientific endeavors as it is the information which supports or does not support a certain hypothesis someone has about a certain theory, data will generate further ways to support that theory or oppose it, in both cases the basic resource which a scientific endeavor needs is data

A 10.0cm3 volume of alcohol has a mass of 7.05g. What is the density of the alcohol in grams per cubic centimeter

Answers

Answer:

0.705 g/cm³

Explanation:

Step 1: define density

The (volumetric mass) density of a sample or substance, is this sample or substance its mass per unit volume and can be defined through following formula:

ρ = m/v

with ρ = density (kg/m³)

m = mass of the substance (kg )

v = volume (m3)

Step 2: change datat SI-units

10.0 cm³ = 10^-5 m³

7.05 g = 0.00705 kg

ρ = 0.00705 kg / 10^-5 m³  = 705 kg / m³

To convert this to g/cm³ we have to divide by 1000

ρ = 0.705 g/cm³

To control this we calculate 7.05g / 10cm³ = 0.705 g/cm³

The desnity of the alcohol is 0.705 g/cm³

The data in an experiment come from observing or measuring the
Question 5 options:


A. independent variable


B. control


C. dependent variable


D. experiment

Answers

C. Dependent variable since the dependent variable is always what is being measured

Answer: Dependent variable

Explanation:

The dependent variable  in an experiment brings the result of the experiment. The independent variable are the factors that is being controlled by the experimenter.

The dependent variable is basically the aim of the experiment. So, it needs to be measured in order to obtain a result.

The dependent variable is dependent on the independent variable. Hence, to obtain data of the experiment dependent variable is observed.

Explain dissolving, and express how boiling can reverse the process in the example of salt water

Answers

Answer:

Explanation:

Dissolving is when a soluble solute is added to a solvent. The solvent surrounds the solutes and makes a solution of it. The process of dissolving is known as dissolution. For a substance to be able to dissolve in a solvent, they must both have similar properties. It is generally known that like dissolves like. Polar solvents will dissolve polar solutes and vice versa.

Boiling can reverse dissolution process in that, the solvent can reach its boiling point and it wil begin to give out vapours. As more vapours are release, the solutes begin to aggregate and form back.


Convert 23 in2 to the equivalent number of cm2. Start with the given facts that 12 in = 1 ft and 1 in = 2.54 cm

Please show your work in your answer here. Do not simply google the answer using a unit converter.

Answers

Answer:

We are giving that 12 inches make one foot and 1 inch is equivalent to [tex]2.54 cm.[/tex]

Of the given inches in centimetre will be [tex]148. 38 cm^2.[/tex]

Explanation:

Now the value that is given in inches square is 23, to calculate the value of inches given in the question into centimetre we have to multiply the value of inch with [tex]2.54 cm.[/tex]

[tex]23 \times 2.54 \times 2.54= 148.38 cm^2[/tex]

Since the value is given in square hence the centimetre calculated would also be in square that is why [tex]2.54[/tex] needs to be multiplied twice.

Final answer:

To convert 23 in2 to cm2, divide by 144 (to convert to square feet) and then multiply by the conversion factor for square feet to square centimeters.

Explanation:

To convert 23 in2 to cm2, we need to use the given conversion factor of 1 in = 2.54 cm. First, let's convert the square inches to square feet by dividing by 144 (since there are 12 inches in a foot). So, 23 in2 = 23/144 ft2. Next, convert the square feet to square centimeters by multiplying by the conversion factor of 1 ft2 = 929.0304 cm2. Therefore, 23 in2 is equal to (23/144) * 929.0304 cm2 = 18.64162 cm2 (rounded to five decimal places).

PLSSSS HELP I WILL GIVE BRAINLY Which kind of rock requires heat and pressure to form?


sedimentary rock


clastic rock


metamorphic rock


igneous rock

Answers

Igneous rock forms from heat and pressure

Answer:

Metamorphic rock is made by a mixture of heat and pressure

Explanation:

How to write 310,763,136 in expanded form

Answers

Answer:

Explanation:

"Three hundred ten million, seven hundred sixty-three thousand, one hundred thirty-six".

Answer:"Three hundred ten million, seven hundred sixty-three thousand, one hundred thirty-six".

Explanation:

Mass box A = 10 grams; Mass box B = 5 grams; Mass box C—made of one A and one B Mass ratio A/B =

Answers

Answer:

mass ratio of A/B is 2:1

Explanation:

Since the mass of box A = 10g

                mass of box B = 5g

   Mass of box C = mass of box A + mass of box

A ratio compares two quantities. To find the ratio of the two boxes:

  Ratio of A to B = [tex]\frac{mass of A}{mass of B}[/tex]

  Ratio of A to B = [tex]\frac{10grams}{5grams}[/tex] = 2

The mass ratio is 2:1 i.e box A has twice the mass of B

Answer:

15?

Explanation:

Cause 10+5 is 15 and that’s all I have


TRUE OR FALSE????


The name for the formula MgI2 is magnesium diiodide.

Answers

Answer:

yes that is the name for the formula is magnesium diiodide

False, The formula MgI₂ is correctly named magnesium iodide, not magnesium diiodide. The naming convention for ionic compounds doesn't require prefixes when the simplest ratio of ions is used in the name.

The statement that the name for the formula MgI₂ is magnesium diiodide is FALSE. The correct name for MgI₂ is magnesium iodide. The naming convention for binary ionic compounds involves combining the cation name with the anion name.

Since the magnesium ion has a charge of +2 (Mg²⁺) and each iodide anion has a charge of -1 (I-), two iodide ions are needed to balance the charge of one magnesium ion. However, the prefix 'di' is not necessary in this case because the convention is to use the simplest ratio of ions which is assumed in the name. Thus, for MgI₂, we simply say magnesium iodide.

Turning to other examples to explain how the nomenclature works for binary ionic compounds, magnesium oxide has the formula MgO, which tells us there is a 1:1 ratio of magnesium ions to oxide ions. Similarly, MgCl₂ is called magnesium chloride, indicating there are two chloride ions for every one magnesium ion to balance the charges, resulting in no prefixes being used in the name.

Other Questions
You have just determined the actual number of workstations that will be used on an assembly line to be 8 using the assembly-line balancing procedure. The cycle time of the line is 10 minutes, and the sum of all that tasks required on the line is 60 minutes. Which of the following is the correct value for the resulting line's efficiency? A. 0.500B. 0.650C.0.750D. 0.850E. None of these How was Russia impacted more dramatically by World War I then western European countries were Relativisma) makes it impossible for us to correctly criticize other cultures' customs and values b) makes it impossible for us to correctly criticize our own societies' customs and values c) can lead to conflicting moral duties d) all of the above One theme of Maya Angelou's poem "Still I Rise" is that adversity can be overcome, or at least countered, by an individual's strength of spirit.TrueFalse Erin is writing about the history of sonnets. Which is a fact Erin can include in her history? The graph of which function(s) will contain the point (3, 6)?y = x + 3y = 3xy = 2xy = x + 6 On November 26, Civic Company purchased $1,200 of supplies on account. The journal entry to record this transaction will include _____. a debit to Supplies and a credit to Cash a debit to Supplies and a credit to Accounts Payable a debit to Cash and a credit to Supplies a debit to Accounts Payable and a credit to Supplies Amber is an American teaching English in China, and she currently has 35,000yuan in her bank account. If the exchange rate changes from 1 U.S. dollar =6.83 Chinese yuan to 1 U.S. dollar = 6.96 Chinese yuan, what happens to thevalue in U.S. dollars of the money in Amber's bank account?A. It decreases by $4550.00B. It increases by $4550.00C. It increases by $95.71D. It decreases by $95.71 Question 3. Let f:X --> Y be a function. (a) Recall that for C CY, the inverse image of C is the set f-1(C) = {x E X|f(x) E C}. Let A, B CY. Prove that f-1(ANB) Cf-1(A) n f-1(B). (b) Recall that for D C X, the image of D under f is the set f(D) = {f(x) E YX E X}. Let A, B C X. Prove that f(An B) c f(A)n F(B). Find an example of a function f and sets A and B such that f(ANB) = but f(A) n f(B) + . Find the distance between the points (a, 0) and (0, b). What do parent and daughter cells have incommon? Check all that apply. A water treatment plant has 4 settling tanks that operate in parallel (the flow gets split into 4 equal flow streams), and each tank has a volume of 600 m3 . If the total flow to the plant is 12 MGD, what is the retention time in each of the settling tanks? b) If, instead, the tanks operated in series (the entire flow goes first through one tank, then the second, and so on), what would be the retention time in each tank? Sophie is buying fabric to make items for a craft fair. The table shows some combinations of how much of each color fabric she might buy. Which equations model the total yards of fabric Sophie will buy? Check all that apply.A. X+Y=28B. 28+X=YC. X-Y=28D. 28-X=YE. 28-Y=X 8. What is the prime factorization of 120? discuss how natural and human processes influence resource use A 25 lb sacrificial Mg anode is attached to the steel hull of a container ship. If the anode completely corrodes within 3 months, what is the average current produced by the anode? True or False? When computing descriptive statistics, we are interested only in describing our data, most often in terms of measures of central tendency and variability. Which proposed article on the River Thames would MOST LIKELY differ from the purpose of this passage about the Thames?A)an article about how rivers are vital for commerce and communicationB)an article about how rivers can affect the course of a country's historyC)an article about how important rivers are in the development of a countryD)an article about how the health of river determines a population's health Write down the negation of each statement1. y Z such that x Z, R (x + y)2. x Z, yZ such that R(x + y) A guy wire 1005 feet long is attached to the top of a tower. When pulled taut, it touches level ground 552 feet from the base of the tower. What angle does the wire make with the ground? Express your answer using degree measure rounded to one decimal place.