what 4 things can affect the way enzymes work? explain how each things affects and enzymes

Answers

Answer 1

Answer: Temperature, pH, enzyme concentration, substrate concentration, and the presence of any inhibitors or activators.

Explanation: Enzymes work best within specific temperature and pH ranges, and sub-optimal conditions can cause an enzyme to lose its ability to bind to a substrate.


Related Questions

dream holiday in sweden essey​

Answers

Answer:

Sweden is the largest of the Nordic countries which are Denmark, Finland, Iceland, Norway, and, of course, Sweden. Sweden's three major cities are Stockholm which is the capital of the country, Gothenburg in the western coast, and Malmö down south.

Sweden is said to have more space to enjoy and relax than most other country. It is a place for people who love to be with nature to seek peace of mind to people who lives by adventure. A perfect vacation spot, Sweden boast of peaceful countryside, lakes and forest, a long coastline of islands good for water sports activities such as sailing and perfect Swedish mountains for skiing during winter. Sweden also has a lot to offer culture vultures and tourist with their rich culture. There are cathedrals and old houses and universities to visit, plus, a smorgasbord of food choices to fill the hungry traveler's stomach. The cities have great pubs and clubs for younger travelers who wants to experience nightlife in Sweden. And there are shopping malls and souvenir shops for everyone to enjoy. Other places of interest are Esrange, a racket launching

facility, Gotland, Sweden's largest island and Kebnekaise, the country's highest mountain.

Answer:

Ferries are sea transport in the form of boat or ship that carries passengers, cargo and sometimes vehicles. It is a type of public transportation that has been around for centuries. It is a cheaper way to travel from one point to another, but lately a trip through a ferry is made not only for financial consideration but for leisure as well. Today's ferries or cruise ships are more efficient and mostly built with the passenger's convenience in mind, and some big ones can accommodate hundreds of passengers, baggage and vehicles in one time. Ferries usually operate on frequent return service. Ferry rides are a relaxing way to travel and to see the sights along the way. One of the world's best ferry destinations is Sweden.

Sweden is the largest of the Nordic countries which are Denmark, Finland, Iceland, Norway, and, of course, Sweden. Sweden's three major cities are Stockholm which is the capital of the country, Gothenburg in the western coast, and Malmö down south.

Sweden is said to have more space to enjoy and relax than most other country. It is a place for people who love to be with nature to seek peace of mind to people who lives by adventure. A perfect vacation spot, Sweden boast of peaceful countryside, lakes and forest, a long coastline of islands good for water sports activities such as sailing and perfect Swedish mountains for skiing during winter. Sweden also has a lot to offer culture vultures and tourist with their rich culture. There are cathedrals and old houses and universities to visit, plus, a smorgasbord of food choices to fill the hungry traveler's stomach. The cities have great pubs and clubs for younger travelers who wants to experience nightlife in Sweden. And there are shopping malls and souvenir shops for everyone to enjoy. Other places of interest are Esrange, a racket launching facility, Gotland, Sweden's largest island and Kebnekaise, the country's highest mountain.

There are just so much outdoor and recreational activities in Sweden, and it is also child-friendly that it has become an ideal family vacation destination. Truly, a trip to Sweden is a rejuvenating experience. But the best way to start the Swedish vacation is by riding a ferry to Sweden.

Riding a Ferry to Sweden

Sweden is a country that can be visited through a ferry from different parts of Europe. There are regular ferry rides from Belgium, Denmark, Estonia, Finland, Latvia, Germany, Norway, Poland, Russia, and United Kingdom. It has become very accessible for travelers and tourist to enjoy the natural beauty and distinct cultural heritage of Sweden. There are a number of sea transport companies that carries passengers, cargo and vehicles that offers regular trips to and from Sweden. Some of the popular ones are Stena Lines, Silja Lines, Birka Cruises, Tallink Lines, Viking Lines, Scandlines, and DFDS. There are ports in major cities of Sweden as well as in Varberg, Helsingborg, Trelleborg, Visby, Ystad among others. Travelers and tourist can book their ferry to Sweden trips through their local travel agents, but they can also conveniently book their travels through the internet.

A luxurious ferry to Sweden usually has suites for honeymooners or multi-cabin that is ideal for family or group of friends making a trip via a ferry an enjoyable experience.

Explanation:

hope it's help you

Please I need help thank you

Please I need help thank you

Answers

Answer:

its sodium hydroxide

Explanation:

16. How many molecules are present in 3.0 X 102 grams of calcium
carbonate? [Calcium - 40 g/m;Carbon - 12g/m. Oxygen - 16 g/m]
A) 6.02 X 1023
B 81.1 X 1023.
C) 1.81 X 1024

Answers

To solve this problem, we need to use the concept of Avogadro's number and molecular weight.

The molecular weight of calcium carbonate (CaCO3) can be calculated as follows:

Calcium (Ca) atomic weight = 40 g/molCarbon (C) atomic weight = 12 g/molOxygen (O) atomic weight = 16 g/molMolecular weight of CaCO3 = (1 x 40) + (1 x 12) + (3 x 16) = 100 g/mol

Now, we can calculate the number of molecules in 3.0 x 10^2 grams of CaCO3 as follows:

Convert the mass of CaCO3 to moles using the formula:

moles = mass / molecular weight

moles = 3.0 x 10^2 g / 100 g/mol

moles = 3.0 x 10^0 mol

Use Avogadro's number to calculate the number of molecules:

number of molecules = moles x Avogadro's number

number of molecules = 3.0 x 10^0 mol x 6.02 x 10^23 molecules/mol

number of molecules = 1.806 x 10^24

Therefore, the answer is C) 1.81 x 10^24.

PLEASE HELP QUICKK

Calculate the energy of combustion for one mole of butane if burning a 0.367 g sample of butane (C4H10) has increased the temperature of a bomb calorimeter by 7.73 °C. The heat capacity of the bomb calorimeter is 2.36 kJ/ °C.

Answers

The energy of combustion for one mole of butane to be approximately 2888.81 kJ/mol.

To calculate the energy of combustion for one mole of butane (C4H10), we need to use the information provided and apply the principle of calorimetry.

First, we need to convert the mass of the butane sample from grams to moles. The molar mass of butane (C4H10) can be calculated as follows:

C: 12.01 g/mol

H: 1.01 g/mol

Molar mass of C4H10 = (12.01 * 4) + (1.01 * 10) = 58.12 g/mol

Next, we calculate the moles of butane in the sample:

moles of butane = mass of butane sample / molar mass of butane

moles of butane = 0.367 g / 58.12 g/mol ≈ 0.00631 mol

Now, we can calculate the heat released by the combustion of the butane sample using the equation:

q = C * ΔT

where q is the heat released, C is the heat capacity of the calorimeter, and ΔT is the change in temperature.

Given that the heat capacity of the bomb calorimeter is 2.36 kJ/°C and the change in temperature is 7.73 °C, we can substitute these values into the equation:

q = (2.36 kJ/°C) * 7.73 °C = 18.2078 kJ

Since the heat released by the combustion of the butane sample is equal to the heat absorbed by the calorimeter, we can equate this value to the energy of combustion for one mole of butane.

Energy of combustion for one mole of butane = q / moles of butane

Energy of combustion for one mole of butane = 18.2078 kJ / 0.00631 mol ≈ 2888.81 kJ/mol

Therefore, the energy of combustion for one mole of butane is approximately 2888.81 kJ/mol.

In conclusion, by applying the principles of calorimetry and using the given data, we have calculated the energy of combustion for one mole of butane to be approximately 2888.81 kJ/mol.

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Find the percentage composition of each compound listed
below. In the first ten problems, the correct formula is given.
In the next four problems, laboratory data for the compound
are presented.
1. FeO
2. MgCl
3. CH4
4. CS₂
5. NO₂
6. HgO
7. SnI₁
8. Cu₂0
9. NH₂
10.CH₂O

Find the percentage composition of each compound listedbelow. In the first ten problems, the correct

Answers

Answer:

Explanation:

% comp is g element / g cpd x 100%  get the grams from the periodic table

1) 77.78%Fe & 22.22 % O

2) 40.68 % Mg & 59.32 % Cl

3) 75 % C & 25% H

4) 15.79% C & 84.21 % S

5) 30.43 % N & 69.57 % 0

6) 92.63%Hg & 7.37 % )

7) 18.98 % Sn &  81.02 %I

8) 88.89 % Cu & 11.11 % O

9) 82.35 & N & 17.65 % H

10) 40% C & 6.67% H & 53.33 % O

How do I calculate the moles consumed in a vinegar titration?

Answers

Answer: Use the titration formula

Explanation:

why is plastic a better choice for the slide than aluminum?

why is plastic a better choice for the slide than aluminum?

Answers

Answer:

Plastic is better because it doesn't melt in the microwave but aluminum burns in the microwave

Explanation:

If 3.0 grams of Strontium-90 in a rock sample remained in 1989, approximately how many grams of Strontium-90 were present in the original sample in 1933?

Answers

11.29 grams of strontium-ninety had been gift withinside the unique rock pattern in 1933. Strontium- ninety decays to yttrium-ninety, which in flip decays to solid zirconium.

The isotopes of strontium and yttrium emit beta debris as they decay. The launch of radiation throughout this decay manner reasons situation approximately the protection of strontium and all different radioactive substances. Sr-ninety may be inhaled, however ingestion in meals and water is the best fitness situation. Once withinside the body, Sr-ninety acts like calcium and is effectively included into bones and teeth, wherein it may purpose cancers of the bone, bone marrow, and smooth tissues across the bone.

Strontium has a half-existence of 28.8 years. Therefore,

1989 - 1933 = 56years.

fifty six / 28.eight = 1.94 half-lives

Thus, the amount of the radioisotope closing will double for every half-existence elapsed. transferring backwards in time. Therefore, transferring backwards in time through 1.94 times half-lives, the amount closing will double through 1.94 times.

Thus, the quantity closing in 1933 is 3.0 × (1.ninety four)² = 11.29 grams.

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How many oxygen atoms are in 4 Fe(C2H302)3?

Answers

Answer:

24

Explanation:

True or false: An oxidation number is not the same as an actual charge on an ion. True false question. True False

Answers

Answer:

True

Explanation:

They are actually the same

The answer is False.

The oxidation number is the number of electrons removed or added to an element or compound. This is also equal to the charge on the ion.

For example, if Sodium atom loses one electron, it becomes oxidized to the + 1 state.

Na → Na⁺ + e⁻.

So, the oxidation number of Sodium is the charge on the Sodium ion which is + 1.

So, the oxidation number is equal to the charge on the ion.

So, the answer is False.

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1. A solution contains an unknown amount of dissolved magnesium. Addition of0.0877 mol of Na2CO3 causes complete precipitation of all of the magnesium.What mass of magnesium was dissolved in the solution?

Answers

Answer:

4.25 g of magnesium.

Explanation:

What is given?

moles of Na2CO3 = 0.0877 moles.

molar mass of Mg (magnesium) = 24.3 g/mol.

Step-by-step solution:

First, let's state the chemical equation between Mg (magnesium) and Na2CO3:

\(\text{2 Mg+Na}_2CO_3\rightarrow Mg_2CO_3+2Na.\)

You can see that 1 mol of Na2CO3 reacts with 2 moles of Mg, so let's see how many moles of Mg are being produced by 0.0877 moles of Na2CO3:

\(0.0877\text{ moles Na}_2CO_3\cdot\frac{2\text{ moles Mg}}{1\text{ mol Na}_2CO_3}=0.175\text{ moles Mg.}\)

And the final step is to convert from 0.175 moles of Mg to grams using its molar mass. The conversion will look like this:

\(0.175\text{ moles Mg}\cdot\frac{24.3\text{ g Mg}}{1\text{ mol Mg}}=4.25\text{ g Mg.}\)

The answer is that there is 4.25 g of magnesium dissolved in the solution of 0.0877 moles of Na2CO.

A solution contains only sucrose and water. If the mole fraction of sucrose is 0.0558, determine the molality of sucrose.

Answers

Answer:

The correct solution is "3.28 m".

Explanation:

According to the question,

Mol fraction of solvent,

= 0.0558

Molar mass of water,

= 18 g/mol

Mol of H₂O in 1000 g water,

= 55.55 mol

Now,

Let the mol of solute will be "x mol".

Total mol in solution will be "55.55 + x".

As we know,

⇒ The mol fraction of solvent = \(\frac{x}{55.55+x}\)

                                        \(0.0558=\frac{x}{55.55+x}\)

                                                \(x=0.0558[55.55+x]\)

                                                \(x=3.09969+0.0558x\)

                               \(x-0.0558x=3.09969\)

                                               \(x=\frac{3.09969}{0.9442}\)

                                                  \(=3.38 \ m\)

If your equation includes 7(CrO4)2, how many Cr's are there?
If your equation includes 7(CrO4)2, how many O's are there?

Answers

If an equation includes 7(CrO₄)₂, the numbers of Cr's and O's atoms that are there are 14 and 56 respectively.

How to calculate number of atoms?

The number of atoms present in a chemical compound can be calculated by multiplying the subscript of the particular element by any coefficient.

According to this question, 7 moles of chromate with the chemical formula; (CrO₄)₂ is given. The number of oxygen and chromium atoms in this compound can be calculated as follows:

Chromium = 7 (coefficient) × 2 = 14 atoms

Oxygen = 7 (coefficient) × 8 = 56 atoms

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DIFFERENCE BETWEEN LOWEST AND HIGHEST MELTING POINT OOF CARBON FIBRE

Answers

Answer:

The carbon fiber itself will withstand incredibly high temps. The weak point will be the epoxies or the resins.Ambient-cured epoxies will typically begin breaking down around 100 °C. The heat-cured epoxies that will go up to around 300 °C. As you get into the high temp ratings, the epoxies get trickier to handle, install, cure.Since the compositions of most irons while casting are around the eutectic point (lowest liquid point) of the iron–carbon system, the melting temperatures usually range from 1,150 to 1,200 °C.As is evident, at such high temperatures, the epoxies of Carbon Fibers will melt. So, they are not yet used for iron casting.

Magnesium has three stable isotopes. The most commonly occurring isotope, Mg24,
has an isotopic mass of 23.985 u and makes up 78.99% of naturally occurring magnesium atoms. The isotope Mg25 makes up 10.00% of magnesium atoms and has an isotopic mass of 24.986 u. The isotope Mg26 makes up 11.01%
of magnesium atoms and has an isotopic mass of 25.983 u .

Using the isotopic composition provided, calculate the average atomic mass of magnesium.

average atomic mass:

Answers

The average atomic mass of magnesium is 24.305 amu.

The mass of a single atom is too small to be measured directly, but chemists and physicists use the atomic mass unit (amu) to describe the mass of an atom.

The atomic mass unit is defined as 1/12th of the mass of a carbon-12 atom. Magnesium (Mg) has three isotopes: Mg-24, Mg-25, and Mg-26, with masses of 23.985 amu, 24.986 amu, and 25.983 amu, respectively.

These isotopes make up 78.99%, 10.00%, and 11.01%, respectively, of all naturally occurring Mg atoms.

The atomic mass of Mg can be calculated using the weighted average of the three isotopes as follows:Average atomic mass = (78.99/100 x 23.985 amu) + (10.00/100 x 24.986 amu) + (11.01/100 x 25.983 amu)Average atomic mass = 23.940 amu + 2.499 amu + 2.864 amuAverage atomic mass = 29.303 amu.

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Check all that apply...helppppp

Check all that apply...helppppp

Answers

Answer:

dfgh

Explanation:

An atomic scientist was studying an atom which through experimentation found that the total negative charge of the area surrounding the nucleus is -9. which statement corretly describes this atom? A.the atom has 9 clouds. B.the atom has 9 electrons C.the atom has 9 neutrons. D.the atom has 9 protons.

Answers

Answer:

The answer is B

Explanation:

The area surrounding the nucleus is called the electron cloud which holds the electrons, so with the power of deduction its B. 0-0

If 6.000 g of sugar is mixed with 9.000 g of water, what is the
concentration in weight percent?

Answers

The concentration in weight percent is 40%

Data obtained from the question

The following data were obtained from the question:

Mass of sugar = 6.000 gMass of water = 9.000 gTotal mass = 6.000 + 9.000 = 15.000Concentration in weight percent = ?

How to determine the concentration in weight percent

Concentration in weight percent = (mass of sugar / total mass) × 100

Concentration in weight percent = (6.000 / 15.000) × 100

Concentration in weight percent = 0.4 × 100

Concentration in weight percent = 40%

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Calculate the molarity (M) if 3.35g of H3PO4 is dissolved in water to give a total volume of 200mL

Answers

Answer:

0.171 M

Explanation:

Step 1: Given data

Mass of H₃PO₄ (solute): 3.35 gVolume of solution (V): 200 mL

Step 2: Calculate the moles of solute

The molar mass of H₃PO₄ is 97.99 g/mol.

3.35 g × 1 mol/97.99 g = 0.0342 mol

Step 3: Convert "V" to liters

We will use the conversion factor 1 L = 1000 mL.

200 mL × 1 L/1000 mL = 0.200 L

Step 4: Calculate the molarity of the solution

We will use the definition of molarity.

M = moles of solute / liters of solution

M = 0.0342 mol/0.200 L = 0.171 M

If you have a sample of 3.5 × 1022 atoms of tin (Sn), how many moles of tin do you have?

The correct answer according to the text is 0.058 mol Sn but no matter how I work it, I get 5.8 X 10^-2 mol Sn. I am using a scientific calculator. How did they get that answer?

Answers

The number of mole of tin (Sn) that you have is 0.058 mole

Avogadro's hypothesis

6.02×10²³ atoms = 1 mole of tin (Sn)

With the above information, we can obtain the number of mole ot tin. Details below

How to determine the mole of tin that contains 3.5×10²² atoms

We can obtain the number of mole of tin as follow:

6.02×10²³ atoms = 1 mole of tin (Sn)

Therefore,

3.5×10²² atoms = (3.5×10²² atoms × 1 mole) / 6.02×10²³ atoms

3.5×10²² atoms = 0.058 mole of tin (Sn)

Thus, the number of mole of tin (Sn) you have is 0.058 mole

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What is the oxidation number for carbon in H2CO3 select the correct answer below a.+1 b.+2 c.+3 d.+4

Answers

The oxidation number for carbon in H2CO3 is +4, is so option d.

What is the oxidation number?

It is the electrical charge of an atom when it is part of a compound. This charge depends on the number of electrons gained, lost or shared by an atom.

Carbon oxidation number in H2CO3

                               H   C  O

Oxidation number: +1 +4 -2

Carbon (Z=6) can have oxidation numbers ranging from -4 to +4.

C can present different oxidation states within the same compound that contains more than one atom of it.

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What is the oxidation number for carbon in H2CO3 select the correct answer below a.+1 b.+2 c.+3 d.+4

If heat is going INTO the system, that means that energy must have come OUT FROM the?

Answers

If heat is going into the system, then energy must have come out from the surroundings.

If heat is entering a system, it means that the system is gaining thermal energy, which can lead to an increase in temperature, changes in state, or other effects depending on the nature of the system and the heat transfer mechanism.

The first law of thermodynamics, also known as the law of conservation of energy, states that the total amount of energy in a closed system remains constant, and energy can neither be created nor destroyed, only transferred or converted from one form to another.

When heat enters a system, it is either used to increase the internal energy of the system or to perform work, such as moving a piston or driving an electrical generator.

The amount of heat transferred to a system can be quantified using the equation Q = mcΔT, where Q is the heat transferred, m is the mass of the substance, c is its specific heat capacity, and ΔT is the change in temperature.

Therefore, if the system is gaining energy in the form of heat, then the surroundings (the rest of the universe) must be losing that same amount of energy. This is because energy is conserved.

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Help me how to draw this graphhh??ASAPPPP

Help me how to draw this graphhh??ASAPPPP

Answers

Refer to the attachment

Help me how to draw this graphhh??ASAPPPP

A continuously stirred tank reactor is designed to remove the hazardous waste compound trichloroethylene (TCE) from industrial wastewater. The tank is 3250 liters. The wastewater flows into the tank at 200 L/min with a TCE concentration of 25 mg/L. The reactor decays TCE at a reaction rate of 0.20 min-1 . What is the steady-state concentration of TCE in the treated water leaving the reactor

Answers

Answer:

the steady-state concentration of TCE in the treated water leaving the reactor is 5.88 mg/L  

Explanation:

Given that;

Tank volume v = 3250 liters

wastewater flows into the tank Q = 200 L/min

TCE concentration Co= 25 mg/L

reactor decays TCE at a reaction rate K = 0.20 min-1

mass balance

we know that;

Accumulation = inflow - outflow ± generation

⇒dc/dt = QCo - Qc ± rc.V

now at a steady state; dc/dt = 0

so

0 = QCo - Qc + rcV

where rc = -kc

0 = QCo - Qc - kcV

Qc + kcV = QCo

c(Q + kV) = QCo  

c = QCo / (Q + kV)

so we substitute

c = (200 × 25) / (200 + (0.2×3250))

c = 5000 / 850

c = 5.88 mg/L      

Therefore,  the steady-state concentration of TCE in the treated water leaving the reactor is 5.88 mg/L  

Use the Debye–Hückel equation to calculate the activity coefficient (

Answers

Answer:

log = ( - 0.51 z 2) / ( 1 + ( / 305)

Explanation:

35.0 L of an ideal gas at 268 K and 5.16 atm are heated to 343 K with a new pressure of 7.65 atm. What is the new volume (in L)?

Answers

From the calculations, the new volume of the gas is 30.2 L.

What is the new volume?

We know that we can be able to obtain the parameters that ahs to do with the gas by use of any of the equations of the laws that relate to an ideal gas.

Given that the;

Initial volume \(V_{1}\) = 35.0 L

Initial temperature \(T_{1}\) =  268 K

Initial pressure \(P_{1}\)  = 5.16 atm

Final temperature \(T_{2}\) = 343 K

Final pressure \(P_{2}\) =  7.65 atm

Final volume \(V_{2}\) = ??

Then we have to use the general gas equation;

\(P_{1}\) \(V_{1}\)/ \(T_{1}\)=  \(P_{2}\) \(V_{2}\)/ \(T_{2}\)

\(V_{2}\) =  5.16 * 35.0 *  343/7.65 * 268

\(V_{2}\) = 61945.8/2050.2

\(V_{2}\) = 30.2 L

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calculate number of water molecules and number of oxygen and hydrogen atom in a drop of water containing 0.05 mole of water ​

Answers

Answer: \(0.301\times 10^{23}\) molecules of water

\(0.6023\times 10^{23}\) atoms of hydrogen

\(0.301\times 10^{23}\) atoms of oxygen

Explanation:

According to avogadro's law, 1 mole of every substance occupies 22.4 L at STP and contains avogadro's number \(6.023\times 10^{23}\) of particles.

1 mole of water \((H_2O)\) contains = \(6.023\times 10^{23}\) molecules of water

Thus 0.05 moles of water \((H_2O)\) contain = \(\frac{6.023\times 10^{23}}{1}\times 0.05=0.301\times 10^{23}\) molecules of water

Now , 1 molecule of water contains= 2 atoms of hydrogen

\(0.301\times 10^{23}\) molecules of water contain = \(\frac{2}{1}\times 0.301\times 10^{23}=0.6023\times 10^{23}\) atoms of hydrogen

Now , 1 molecule of water contains = 1 atom of oxygen

\(0.301\times 10^{23}\) molecules of water contain = \(\frac{1}{1}\times 0.301\times 10^{23}=0.301\times 10^{23}\) atoms of oxygen  

How does a neutral atom of magnesium form an ion?

Answers

Answer: The magnesium ion Mg2+ is formed when the magnesium atom loses the two electrons from its outer shell to form a stable ion with a noble gas configuration.

Explanation:

please help ITS A T E S T!!

please help ITS A T E S T!!

Answers

Answer:

B

Explanation:

B hope this helps have good day

This pluton occurs deep in Earth and does not cause any changes to the surface of Earth . True or False

Answers

Answer:

The given statement is false.

Explanation:

However, if the pluton exists beneath the ground, this could be conveniently shown in the illustration something from the peak such pluton appears convex in form resembling a lopolith and perhaps diapir, which would be a particular form of statistically significant pluton recognized as the sill.Mostly from the figure it could also be shown that subsurface sheets are lined or curved, throughout the pluton mold. And therefore it is inferred that such a pluton creates adjustment to something like the ground atmosphere by altering the form of the levels above it.

So that the given is incorrect.

This pluton occurs deep in Earth and does not cause any changes to the surface of Earth . True or False
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1. The price-to-rent ratio ratio of houses in New York City is around 37. If you rent an apartment for $2000 a month, how much do you expect it to be worth? If you buy an apartment for $500,000, how much would you rent it? Give reasonable answers. 2. Is it better to rent or buy a home when the price-to-rent ratio is high? When it is low? Why? 3. Assume that you buy a home for $300,000. As the price-to-rent ratio in this area is 30, you decide to rent it for an annual rent of $10,000. Now, it is estimated that the value of your home increases by $10,000 a year, and you decide to increase the annual rent by $500 each year. Write a formula for the function p(t) describing the price-to-rent ratio of your home as a function of the number of years t. Explain. 4. Compute limt+[infinity]p(t) Comment, assuming that the price-to-rent ratio in the area remains 30 . put them in order from least to greatest:9.4 9.35 9.37 9.311 9.345 9.433 Answer two question about equations a and b: 2x-1=5x b. -1=3x1 Joy hiked 9.8 miles on Saturday and 4.2 miles miles on Sunday. How much farther did Joy hike on Saturday than on Sunday? miles Which pair of functions is equivalent? 12 a. f(x) = x - 3x + 5 c. f(x) - 10x2 + 9x + 8 g(x) = x + 3x - 5 g(x) = 8x2 + 10x + 9 b. Ax) = (5x - 7) + (-2x + 1) + 4x d. f(x) - 18x - 24 g(x) = (x + 4)-(-4x + 2) + 2x g(x) = 6(3x - 4) 2. Which expression represents the volume of the prism shown? 14 (9x+3) (x+2) (4x - 5) a. 36x - 30 c. 36x + 39x2 - 81x - 30 b. 36x + 18x - 30 d. 14x. 3. Which of the following represents factoring g* +5g + 25 + 10 by grouping? 12 Page 1 a. glg + 5) +268 + 5) c. (8 + 5)3 b. (g? + 5) + (2g + 5) d. (8 + 5)(8 + 5) + (8 + 2)(8 + 2) Part B. Applications 4. What are the restrictions on the variable for 18n" ? 27n9 /1 5x r2 5. Simplify. + 9x 3y _12 __12 3x2 + x 6. Simplify. 2x + 4 7. Simplify 8g 36g i 11 8. Simplify. 6x? - 5472 x? + 4xy-2172 __12 9. Simplify. 3x 14x2 7x? 15x 12 Why it is important to present your answer according to the marks allocated to assessment questions. Find the interest rate for a bank account that earned $81.60 in interest over 4 years and that had a principal of $510 Can someone help me with this please after texting guzzo, why does paul think that something big is happening Choose the sentence that is punctuated correctly. That book is very funny isn't it?Tim and Jan, are busy aren't they?Susan does not like scary movies does she?0There aren't any pictures in the book, are there? State the slope and y-intercept of the graph of y=25x+2 A square loop of wire lies in the plane of the page and carries a current I as shown. There is a uniform magnetic field Vector B parallel to the side MK as indicated. The loop will tend to rotate: A. about PQ with KL coming out of the page B. about PQ with KL going into the page C. about RS with MK coming out of the page D. about RS with MK going into the page E. about an axis perpendicular to the page. geothermal,wind,and solar are some of the energy resources in which Nevada has an abundant supply.What would be a benefit of their usage compared to other energy sources The filtrate is obtained through the vacuum filtration after the reaction is finished. Is it basic or acidic or neutral? O The filtrate is neutral. 0 The filtrate is basic, O The filtrate is acidic. D. The filtrate is very acidic, What was ruby bridges hostile environment like? in the context of visual perception, the suggests that people in western cultures focus more on representations on paper than do people in other cultures, and in particular spend more time learning to interpret pictures. (BRAINLIEST)How many solutions does this system have? an expandable a gay is made of a parallelogram that have angles that change measures as the gate is adjusted which of the following statements is always true A map scale is 1 cm =500 km the scale ratio is 1 to ____ Aditya's dog routinely eats Aditya's leftovers, which vary seasonally. As a result, his weight fluctuates throughoutthe year.The dog's weight W(t) (in kg) as a function of time t (in days) over the course of a year can be modeled by asinusoidal expression of the form a.cos(b. t) + d.Att = 0, the start of the year, he is at his maximum weight of 9.1 kg. One-quarter of the year later, whent=91.25, he is at his average weight of 8.2 kg.Find W(t).t should be in radians.(2)