Two liquids whose boiling points differ considerably can be separated from their mixture by​

Answers

Answer 1

Answer:

heating the mixture until one liqiid remains

Explanation:

This is because the liquids have different boiling points there fore meaning that one liquid will evaporate begore the other

Answer 2
heating the mixture until one liquid is left

Related Questions

Which sample contains the greatest number of molecules?

A 4g of hydrogen
B 18 g of water
C 24 dm³ of oxygen
D 66 g of carbon dioxide

And why is the answer that way?

Answers

Answer:

4g of hydrogen

Explanation:

4g of hydrogen (molar mass 2) corresponds to 2 moles of molecules or 4N number of atoms where N is the Avogadro's number (6.023×10

23)

if a researcher wanted to temporarily denature a protein but wanted to be sure it would refold, which of the following methods or substances would be most appropriate

Answers

If a researcher wanted to the temporarily denature a protein but wanted to be sure it would refold, the method or the substances would be most appropriate is the urea.

The denature is defined as the process of the modification of the molecular structure of the protein. In this method it involves the breaking of the many weak linkage or the bonds in the protein molecules. It is responsible for highly ordered of the structure of the protein in the natural of state.

Thus, the urea is the appropriate substances , if the researcher wanted to the  temporary denature the proteins.

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Please help : ) and please explain in answer

Answers

The transfer of energy doe not always affect the appearance of the lake because it can attain a form that is quite similar to the other. It can be because of conduction, convection, and radiation.

What are the processes of heat transference?

Heat transference can be described as a natural phenomenon that can be caused by conduction, convection, or radiation.

Convection can be defined as the transfer of energy in a given fluid such as, in this case, water. The energy transfer is due to particular molecular motion, energy is transferred by bulk, or macroscopic, the motion of the fluid.

Radiation can be defined as heat transfer through space due to electromagnetic radiation. Conduction can be defined as the transfer of energy between molecules due to direct contact.

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A car has a mass of 2,050 kg and is traveling at 28 meters per second. What is the car's kinetic energy?

Answers

After solving the equation the car's kinetic energy is 783,500 kg m2/s2.

What is kinetic energy?

Kinetic energy is the energy of motion, or the energy associated with an object or system due to its motion. It is a form of energy that can be converted into other forms of energy, such as thermal energy, sound energy, electrical energy, and so on.

The car's kinetic energy is the energy it has due to its motion. Kinetic energy is calculated as KE = 1/2mv2, where m is mass and v is velocity. In this case, the car has a mass of 2,050 kg and is traveling at 28 meters per second. Plugging these values into the equation gives:
KE = 1/2(2050 kg)(28 m/s)2
= 1/2(2050 kg)(784 m2/s2)
= 783500 kg m2/s2
Therefore, the car's kinetic energy is 783,500 kg m2/s2.

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What will be the pH of solution after sodium acetate solution in the middle or the last column reacts with the specified concentration of HCl

Answers

The pH of the final solution will be less than 7, but closer to 7 if the initial concentration of sodium acetate is high and the concentration of HCl is low.

The pH of a solution after a reaction with a strong acid like HCl will depend on the concentration of the acid and the concentration of the acetate ions (CH3COO-) in the sodium acetate solution. Sodium acetate (CH3COONa) is a weak base, and when it reacts with HCl, it forms acetic acid (CH3COOH) and sodium chloride (NaCl). The equation for this reaction is: CH3COONa + HCl → CH3COOH + NaClThe pH of a solution is a measure of the concentration of hydronium ions (H3O+) in the solution, so the pH of the solution after the reaction will depend on the concentration of H3O+ ions and the concentration of acetate ions. If the reaction is done in aqueous solution, the acetic acid formed will dissociate to form H3O+ and acetate ions. The acetate ions will neutralize some of the H3O+ ions, thus decreasing the overall acidity of the solution. The pH of the final solution will be less than 7, but closer to 7 if the initial concentration of sodium acetate is high and the concentration of HCl is low. It's important to note that without knowing the initial concentration of sodium acetate and the volume of the solutions it is not possible to determine the final pH.

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Oxygen and chlorine gas are mixed in a container with partial pressures of 0.53 atm and 0.639 atm, respectively. What is the total pressure inside the container (in atm)?

Answers

Answer:

1.17 atm

Explanation:

Calculation to determine the total pressure inside the container (in atm)

Using this formula

Total pressure = Partial pressure 1 + Partial pressure 2

Where,

Partial pressure 1=0.53 atm

Partial pressure 2=0.639 atm

Let plug in the formula

Total pressure = 0.53 atm + 0.639 atm

Total pressure = 1.17 atm

Therefore the total pressure inside the container (in atm) is 1.17 atm

What are the six physical properties associated with hazard recognition of hazardous materials/chemicals

Answers

The six physical properties associated with hazard recognition of hazardous materials/chemicals are Flammability, Reactivity, Toxicity, Corrosivity, Physical hazards, Health hazards are explained below with details.

1. Flammability: The ability of a material to catch fire and burn easily.

2. Reactivity: The ability of a material to chemically react with other materials, including the potential for explosions or release of toxic gases.

3. Toxicity: The ability of a material to cause harm or death when ingested, inhaled, or absorbed through the skin.

4. Corrosivity: The ability of a material to eat away at or damage other materials, including metals and human tissue.

5. Physical hazards: The potential of a material to cause harm through physical means, such as pressure, impact, or friction.

6. Health hazards: The potential of a material to cause harm to human health, including acute and chronic effects.

These are the six physical properties associated with hazard recognition of hazardous material.

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What do i do if i smell gas inside of the house?

Answers

Answer:

open the windows, turn off all electronics (take out all of the plugs), then find where the gas is coming from.

Explanation:

Can someone please help I’ll give brainliest!!!

Answers

Single replacement because only one letter is being switched out in the reaction

How much water must be added to 516 mL of 0.191 M HCl to produce a 0.133 M solution? (Assume that the volumes are additive)

Answers

Answer:

225 mL of water must be added.

Explanation:

First we calculate how many HCl moles are there in 516 mL of a 0.191 M solution:

516 mL * 0.191 M = 98.556 mmol HCl

Now we use that number of moles (that remain constant during the dilution process) to calculate the final volume of the 0.133 M solution:

98.556 mmol / 0.133 M = 741 mL

We can calculate the volume of water required from the volume difference:

741 mL - 516 mL = 225 mL

PLEASE HELP me create a fictional video game using at least 2 of the ecological roles. (roles to choose from: decomposer, detritivore, pollinator, and seed disperser) (PLS TYPE IT OUT, PLS PLS)
what to include:
-Your characters (include creative names)
-An explanation of how the game is played
-The story of the game
-How the game is won/lost
-Connect the definition of of the two roles with the game and/or how the game is won.
Write a paragraph with at least 7-10 sentences.

BTW ILL GIVE BRAINLIEST OR WHATEVER ITS CALLED!! PLEASE HELP MEE! DESPERATE! IVE BEEN STARING AT THE SCREEN AND CRYING LOLZ <3

Answers

Answer:

GOT YOU

Explanation:

Jotun (pollinator)

Norse(decomposer)

Its a point and click adventure game. Where you only have specific actions you can do with your mouse. The basic options are Inspect for notes or Pollinate pollinate the right plants to escape. Your goal and how to win is go through each level picking up the plants to pollinate leave the level. The only way to lose is if you are unable to find the right plants by a set amount of time. The story is your wife has been taken prisoner by Norse and you are alerted by this from a note. You go to a location and find a tower once you walk in the doors shut behind you and a screen appears saying "Get out of the room and to the top of the tower in an hour or she dies. Jotun escapes and gets to the top of the tower to find out his wife died long ago and Norse has been using her for food.

What is the E0cell? Mg 2+|Mg and Ci2|Ci

Answers

The  E0cell for the halfcell that we have in the question is 3.73 V.

What is the cell potential?

We have to know that the cell potential as we know it has to do with the electrical potential that is involved when we have the oxidation or the reduction of a given specie. In the case of what we have here, we have the cells that are composed of magnesium and chlorine and we want to find the electrode potential of the cells.

We must note that the basis that we can be able to use to find the electrode potential of the cell is the standard hydrogen electrode which has been assigned the value of about 0.00 V and all of the other cell potentials that we have can now be measured against this standard that has been fixed.

We have;

Magnesium half cell= -2.37 V

Chlorine half cell = + 1.36 V

Then we have;

E0cell = + 1.36 - (-2.37)

= 3.73 V

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The equation shows the reaction between magnesium and sulfuric acid
Mg + HSO. → MgSO. + H
(Mg=24, H=1, S=32 0=16)
5
In this maction, what mass of magnesium sulfate will be formed when 6g of magnesium reacts
with excess sulfuric acid?

Answers

Answer:

Mg + Hso4 - Mgso4 + H

24g of magnesium- 120g of Mgso4

Xg. - 6g of Mgso4

Cross multiply

120x - 144

x = 144/120

x= 1.2g

which 4 planets belong together? which 4 planets lumped together have the most similarities​

Answers

Answer:

did you mean to add or attach a paper to this? We need more info to help

Explanation:

Answer:Mars, earth, Uranus and Jupiter

Explanation:

QUESTION 2 What is the uncertainty (in % RSD) of a standard solution prepared by pipetting 20mL of a 0.2487 M (s

Answers

The formula for standard deviation is: = (V1/C1) + (V2/C2) +... + (Vn/Cn).

How could we ascertain if the standard solution created using a pipette is correct?

Calculating the percent relative standard deviation (RSD) of the measurement will allow us to ascertain the degree of uncertainty in a standard solution created by pipetting 20 mL of a 0.2487 M (stock) solution.

The RSD is determined by multiplying the standard deviation by the mean and then by 100. The formula to determine the standard deviation is: = (V1/C1) + (V2/C2) +... + (Vn/Cn).

Where n is the number of measurements, C is the stock solution's concentration, and V is the volume of solution added.

We are unable to compute the RSD for the given information since you have not provided any information regarding the number of measurements taken.

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A beautyberry is a type of shrub that grows well in the southern United States. Some students have a small beautyberry shrub that is growing near their school. They record the number of berries, ripe or unripe, and the number of flowers at different times throughout the year.
Table. Column headings. Month, ripe berries, unripe berries, flowers. September, 9, 4, 2. October, 5, 10, 4. November, 5, 7, 3. December, 2, 3, 1. February, 3, 2, 0. March, 6, 11, 5. April, 12, 5, flowers 9. June, 3, 8, 2.

Which statement best explains what is shown in their data?

Choose the correct answer.

Responses
A.The beautyberry relies on wind to spread its seeds.
B..The beautyberry relies on one type of animal to eat the berries.
C.The beautyberry uses asexual reproduction to make new plants.
D.The beautyberry increases its chances of reproduction because its berries do not all become ripe at the same time.

Answers

The statement that best explains what is shown in their data is option D. The beautyberry increases its chances of reproduction because its berries do not all become ripe at the same time.

What is the beautyberry  about?

The data shows that the number of ripe berries and unripe berries varies from month to month, with the most ripe berries in April and the least in December.

This indicates that the beautyberry does not have all of its berries ripen at the same time, which increases the chances of some of them being eaten and spread by animals. This would help increase the chances of the beautyberry reproducing and spreading to new locations.

Therefore, It does not seem from the data provided that it relies on wind to spread its seeds or that it relies on one type of animal to eat the berries, or it uses asexual reproduction to make new plants.

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Chlorine dioxide, ClO2, si a reddish-yellow gas that is soluble in water. In basic solution it gives ClO3- and ClO2- ions. 2ClO2(aq) + 2OH-(aq) ?

ClO3-(aq) + ClO2- (aq) + H2O. To obtain the rate law for this reaction, the following experiments were run and, for each, the initial rate of the reaction of ClO2 as determined. Obtain the rate law and the value of the rate constant

Answers

Chlorine dioxide is a powerful oxidizing agent and disinfectant used to sanitize and disinfect water, air, surfaces, and medical equipment.

What is Chlorine?

Chlorine is a chemical element found in the halogen group on the periodic table. It has the atomic symbol Cl, and its atomic number is 17. Chlorine is a pale green gas at room temperature, and it is highly reactive. Chlorine is widely used in water treatment and in the production of cleaning products, plastics, and pesticides.

The rate law for this reaction is rate = k[ClO2][OH-], where k is the rate constant. To calculate the rate constant, we can use the following equation:

k = (rate2 - rate1)/([ClO2]2 - [ClO2]1)([OH-]2 - [OH-]1)

Substituting the values for experiments 1 and 2, we get:

k = (0.00276 - 0.0248)/((0.020 - 0.060)(0.030 - 0.030)) = -0.142

The value of the rate constant is k = -0.142 mol/((L s)mol2).

To calculate the initial rate of reaction in experiment 4, we can use the following equation:

rate = k[ClO2][OH-]

Substituting the values for experiment 4, we get:

rate = -0.142(0.040)(0.060) = -0.0043 (mol/((L s))

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18) The vinegar was used to remove the shell form the raw egg. What other effect(s) did the vinegar have on the egg

Answers

The vinegar also caused the egg white to become more acidic, making it easier to separate from the yolk. Additionally, the vinegar helped preserve the egg by preventing bacteria from growing on the eggshell.

What is bacteria?

Bacteria are microscopic organisms that exist virtually everywhere in nature. They range in size from 0.2 to 0.8 micrometers and can be found in soil, water, air, and even inside other organisms. Bacteria can reproduce rapidly, and some species can form biofilms that make them resistant to antibiotics. Bacteria can have beneficial roles in food production, soil fertility, and human and animal health. They can also cause diseases, such as cholera, meningitis, and tuberculosis. Bacteria are able to adapt quickly to changing environments and can become resistant to antibiotics.

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If 0.40 mole of H2 and 0.15 mole of O2 were to react as completely as possible to produce H2O, what mass of reactant would remain

Answers

The remaining mass of hydrogen that is present in the reaction is 0.20 grams.

The balanced chemical reaction can be depicted as follows:

2H2+O2---->2H2O

1 mole of Oxygen reacts with 2 moles of Hydrogen in order to produce two moles of water i.e., H2O.

0.15 moles of O2  reacts with 2 * 0.15 = 0.30 moles of H2

The moles of H2 are given i.e., 0.40 moles.

So remaining = 0.40 moles - 0.30 moles = 0.10 moles

Thus, the mass of H2 can be calculated by multiplying the number of moles with the molar mass that is expressed as follows:

Mass = moles * molar mass

Molar mass of H2= 2 g/mol

Mass of H2 remained in the reaction = 0.10 moles * 2 g/mole = 0.20 grams.

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according to the department of transportation hazardous materials are defined as

Answers

Hazardous materials are substances or chemicals that pose a health hazard, a physical hazard, or harm to the environment.

What is hazardous materials?Weapons of mass destruction, as well as other matter or energy that have the potential to do harm to people, the environment, and property, when discharged.The EPA divides hazardous waste into three categories: listed, characteristic, and mixed radiological waste. Although there are numerous subclasses within each of these groups, the following are the broad groupings.Any cause of potential danger, harm, or negative health impacts on something or someone is a hazard. Basically, a risk is the potential for harm or a negative outcome (for example, to people as health effects, to organisations as property or equipment losses, or to the environment).A hazard is a potential source or circumstance that could cause harm to people or their health, damage to property, or harm to the environment.

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On the locating the epicenter exploration what city was near the epicenter?

A)Rio de Janeiro
B) Buenos Aires
C)Valparaiso
D)Lima

13 POINTS!! Helpp

Answers

B)Buenos Aires was the city near the epicenter :)

If we react 14 moles of oxygen with five moles of ethane how many moles of carbon dioxide would we make

Answers

Answer:46 moles of carbon dioxide and 12 moles of ethane.

Explanation:

46 moles of carbon dioxide and 12 moles of ethane.

What is Carbon dioxide?

A non-flammable, colorless gas, carbon dioxide is. While being far less common in the atmosphere than nitrogen and oxygen, carbon dioxide plays a crucial influence in determining the composition of the air on our planet.

Carbon dioxide, a colourless gas having a faint sharp odour and a sour taste. It is one of the most important greenhouse gases linked to global warming, but it is a minor component of Earth’s atmosphere .

It is formed in combustion of carbon-containing materials, in fermentation, and in respiration of animals and employed by plants in the photosynthesis of carbohydrates.

Therefore, 46 moles of carbon dioxide and 12 moles of ethane.

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Write word equation as a chemical equation:

When chlorine gas is added to an aqueous solution of potassium iodide, the reaction yields solid iodine and an aqueous solution of potassium chloride

Answers

Answer:

Here's the chemical equation:

Cl2 + KI → KCl + I2

Cl2(g)+2KI(aq)→I2(s)+2KCl(aq)

Which statement best describes an electron going from shell 1 to shell 3 as shown in the picture below?
1. The electron is changing into a neutron
2. The electron is moving from one atom to another atom
3. The electron is moving from an excited state to its ground state
4. The electron is moving from its ground state to an excited state

Answers

Answer:

the electron is moving from one atom to another

How many grams of iron (III) oxide are needed?

Answers

Answer:

The SI base unit for amount of substance is the mole. 1 mole is equal to 1 moles Iron(III) Oxide, or 159.6882 grams.

A compound is composed of carbon and hydrogen and has an empirical
formula of CH. The molar mass of the compound is experimentally
determined to be 78.12 g/mol. What is the molecular formula for the
compound?

Answers

The empirical formula for the given compound is C6H6.

What is empirical formula?

The molecular formula represents the precise digits of the atoms found in the given molecule of the compound, whereas the empirical formula represents the proportional of the atoms found in the provided compound.

How empirical formula calculated?

The empirical formula defines the individual atoms that make up a species in the simplest whole number ratio possible. The

The empirical formula is always multiplied by the molecular formula.

Given the foregoing, the empirical formula for the molecular formula is n.

Because of this, the molecular formula is: 78.0 g m o l 1 = n ( 12.011 + 1.00794 ) g m o l 1

n \s= \s78 \s12.011 \s+ \s1.00794 =6 \s .

And the chemical formula is C 6 H 6.

Molecular formula, although not always.≡

empirical formula, which includes the multiple n=1 \s .

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different between ionic and metallic bond ​

Answers

Answer:

Whereas ionic bonds join metals to non-metals, metallic bonding joins a bulk of metal atoms.

Explanation:

hope this helps

How many planes of cleavage does this mineral have? Choose one: A. 0 B. 2 at 90° intersections C. 3 not at 90° intersections D. 1

Answers

The planes of cleavage that the mineral have is 1 as the mineral name is Muscovite mica.

The crystal lattice structure of a mineral affects its propensity to split or break along flat planar faces, or cleavage. These 2D surfaces, also known as cleavage planes, are produced by the alignment of atoms in the crystal structure or lattice through relatively weak connections.

The mineral depicted in the image is called "Muscovite mica," and it has layers that seem like flat sheets. Muscovite mica is far more likely to break along the layers because it only has weakly bonded potassium ions. There is just one ideal cleavage plane as a result. This cleavage is evident in the capacity to peel mica sheets.

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A beautyberry is a type of shrub that grows well in the southern United States. Some students have a small beautyberry shrub that is growing near their school. They record the number of berries, ripe or unripe, and the number of flowers at different times throughout the year.

Table. Column headings. Month, ripe berries, unripe berries, flowers. September, 9, 4, 2. October, 5, 10, 4. November, 5, 7, 3. December, 2, 3, 1. February, 3, 2, 0. March, 6, 11, 5. April, 12, 5, flowers 9. June, 3, 8, 2.

Which statement best explains what is shown in their data?

Choose the correct answer.

Responses
A.The beautyberry relies on wind to spread its seeds.
B..The beautyberry relies on one type of animal to eat the berries.
C.The beautyberry uses asexual reproduction to make new plants.
D.The beautyberry increases its chances of reproduction because its berries do not all become ripe at the same time.

Answers

Note that statement best explains what is shown in the above-tabularized data is: "The beautyberry increases its chances of reproduction because its berries do not all become ripe at the same time. (Option D)

What is the rationale for the above answer?

The statistics in the above table appear to reflect the ripening of berries and the number of blossoms of a plant, presumably called beautyberry. It can be noticed that the amount of ripe berries and blossoms varies each month.

This implies that the beautyberry does not produce all of its berries at once, but rather over the course of several months. This might boost the odds of reproduction by providing a food supply for animals and birds for a longer length of time.

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Seismic station A is 5000 kilometers from the epicenter. What is the difference between the arrival time of the first P-wave and the arrival time of the first S-wave recorded at this station?
2 minutes 20 seconds
6 minutes 40 seconds
8 minutes 20 seconds
15 minutes 00 second

Answers

Answer:

6 min 40 sec

Explanation:

Hope this helps you :)

The difference between the arrival time of the first P-wave and the arrival time of the first S-wave recorded at the station will be 6 minutes 40 seconds.

What are Body waves  ?

P waves move the fastest and arrive first from the earthquake. Rock oscillates perpendicular to the direction of wave propagation in S or shear waves.

In rock, S waves move at approximately 60% the speed of P waves, and the S wave always comes after the P wave. Sound waves, for example, are P waves with a high enough frequency to be heard with your ear.

Wiggling or shaking a rope that is tied down at one or both ends is an example of a S wave.

Both P and S waves propagate outward from an earthquake focal point within the ground.

The waves are frequently observed as independent arrivals on seismographs located at great distances from the earthquake. The direct P wave arrives first because its course takes it through faster moving, denser rocks deeper in the ground.

Because they pass through deeper, lower velocity rocks, the PP (one bounce) and PPP (two bounces) waves move more slowly than the straight P. After the P waves, the various S waves arrive.

To conclude with we can say that Seismic waves or body waves are elastic waves created when the earth's crust is disturbed. The wave is classified into two types  body waves and surface waves. The P and S - waves that move through the ground are body waves.

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Code to be written in PythonWill award brainliest automatically if correct!Suppose that you have a list of numbers, and you need to normalize the list, i.e., the sum of all numbers in the list is equal to 1. Tam came out with an implementation:def normalize(lst): s = sum(lst) return list(map(lambda v: v / s, lst))This code works correctly for normalize([1, 2, 5, 4]) but fails for normalize([1, 2, -7, 4]). What causes the second test case to fail? Find out the error message and keep the list as it is when the error occurs by simply return the list. So without modifying the normalize function, implement this strategy in the safe_normalize function. Complete safe_normalize. You may assume that the normalize function has already been defined for you.def safe_normalize(lst): # handle the error return normalize(lst)Test Cases:safe_normalize([1, 2, 2, 3]) [0.125, 0.25, 0.25, 0.375] safe_normalize([1, 2, -5, 2]) [1, 2, -5, 2] The down-slope movement of material on Earth is called a slope failure. It is the failure of the slope resulting in transport of debris downhill bysliding, rolling, falling, or slumping. This is an example of slope failure called Your patient is complaining of acute, intense sharp epigastric pain that radiates to the back and left scapula with nausea and vomiting. Based on this history, your prioritized physical examination should be to: percuss for ascites. assess for rebound tenderness. inspect for ecchymosis of the flank. assess for rebound tenderness. How do you calculate seed multiplication ratio? The Middle East: Arab-Israeli Conflict Instruction Active Identifying Effects of the Yom Kippur/Ramada Which effects resulted from the Yom Kippur/Ramadan War? To inform, to persuade, and to mark a special occasion are the three types ofO general speech purposesO specific speech purposesO thesis statementsO speech occasions Tran is making fasnachts (deep-fried German doughnuts) to sell theTuesday before Ash Wednesday, her bakery's biggest fasnacht day ofthe calendar year. She has 8 pounds of butter and her recipe calls for1/4 cup of butter per 2 dozenfasnachts. If 1 pound of butter is 2 cups,then how many individual fasnacht doughnuts will Tran be able tomake? To make your business messages more readable, you can do which of the following?O Add footnotes.O Incorporate numbered and bulleted lists.O Include a bibliography at the end.O Eliminate white space. Read the excerpt from "Isaac and Casey.""Higher! said Isaac. Casey jumped higher still. His back feet were at least four feet off the ground. It was miraculous!Suddenly, a thought struck Isaac like lightning. He said the command one more time. "Higher!What is the meaning of the simile in this excerpt?Just as Casey began to jump off the ground, lightning began to strike.Just as Isaac began to realize something, lightning began to strike.Much like lightning strikes, the idea struck Isaac suddenly and abruptly.Much like lightning hurts when it strikes, Isaacs realization hurt him. Name at least 3 characteristics of black street gangs Find the area under the graph Why have there been more switches in control of Congress in the past 25 years compared to the period since the 1930s running apps in which mode ensures that a poorly written app does not affect system stability? Fitness diary Tagalog help me plss example: dear diary Tagalog speak help me please brainlist pls 3x+11. A function f: x X-1(i)Find the images of -1 and 3.(ii)Find the value of x for which f(x) = 72. The set P = {-2,-1,0,1,2} maps onto Q by the function f(x)=x-2, where x E P.(i)Find the elements of Q.(ii)3. Given that f(x) = 2x - 1 and g(x) = x +1:Find f(1 + x):Find the range of values of x for which f(x) < -3;Simplify f(x) - g(x).(i)(ii)(iii),x # 1, is defined on the set (-1, 0, 2, 3, 4, 5)Draw a diagram showing the mapping between P and Q.(i)4. The function f and g are defined as follows: f:x 2x-1 and g:x 3x + 1Evaluate f(-) +1(ii)Solve f(x) = g(-2)5. Given that f(x) = px + q, find the values od p and q, if f(2)= 4 and f(4) == 10The function f is defined as f:x 3x - 5x.6.(i)Evaluate f(--3)(ii)7. The functions f and g are defined as: f:xx-2 and g: x2x-1. Solve:(i) f(x) = g(-/-) (ii) f(x) + g(x)= 04Find the values of x for which f(x) = - 3 What is the graph of the linear equation 2x +3y 6 that cuts the Y-axis at the point? Type the correct answer in each box. Compete the statement about these similar cylinders. The circumference of the base of figure 2 is____ pi inches, and the area of the base of figure 2 is____ pi square inches (Hint: The circumference of a circle = 2nt and the area of a circle = 12, where r is the radius)