Use the mean value theorem to prove the inequality

Answers

Answer 1

Answer:

Proving inequalities, you often have to introduce one or more additional terms that fall between the two you're already looking at. This often means taking away or adding something, such that a third term slides in. Always check your textbook for inequalities you're supposed to know and see if any of them seem useful.


Related Questions

The volume of a cylinder is 400???? cubic cm and its height is 4 cm.what is the radius?

Answers

Answer: 5.64 cm

Explanation:

Volume of a cylinder = π * r^2 * h →

400 = π * r^2 * 4 →

r = 5.64 cm :)

The product of 2 positive integers is 78. The greater
integer is 1 more than twice the lesser integer. What is
the greater integer?

Answers

Answer:

it's ez add it and it should give u the question

Explanation:

yea add it and u will get it

When the 0.10 m solution of hclo2 is allowed to come to equilibrium, what percent of the acid molecules are ionized?

Answers

If 0.10 m solution of hclo2 is allowed to come to equilibrium, the percent of the acid molecules that is ionized is 29%

We have

HClO2 = 0.1 mole = 0.012

HClO + H2O ⇄ ClO₂⁻ + H₂O

Ka = 0.1α x 0.1α / 0.1(1-α)

= 0.1α²/1-α = 0.12

We have to form a quadratic equation from the above

0.1α² = 0.012 - 0.12α

We write the equation to be

0.1α² + 0.012 - 0.12α = 0

To solve the equation above, the quadratic formula calculator was used.

[tex]\frac{-b+-\sqrt{b^2-4ac} }{2}[/tex]

alpha = 0.29

This is 29 percent. Therefore the percentage of ionization is 29%.

What is ionization?

This is the process through which neutral ions are chraged to become electrically charged.

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according to carl jung, which of the following best served the goal of self-realization?

Answers

Jung believed, like Freud, that a balance between the two extremes (extroversion and introversion) was the most healthy and best served the goal of self-realization

8-6 skills practice solving rational equations and inequalities

Answers

There are different kinds of rational equations and inequalities. An example is:

In order to simplify a rational number or rational expression, ----- the numerator and -------  and divide both of them by their -------

What are rational equations?

A rational equation is known to be  a type of equation that has at least one fraction that the numerator and denominator are said to be polynomials.

The answer is In order to simplify a rational number or rational expression, Factor the numerator and denominator  and divide both of them by their greatest common factor.

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18.1 multiplying polynomial expressions by monomials

Answers

The  act of Multiplying a polynomial by a monomial is an easy one. An example of this is given as Multiply x – y – z by -8x².

What are Polynomial Expressions?

Polynomials are regarded as the sums of specific terms of a given form k⋅xⁿ. Here, the k stand for any number and n stand for a positive integer.

To Multiply x – y – z by -8x².

One has to first Multiply each term of the polynomial x – y – z by making use of the monomial -8x².

⟹ -8x² * (x – y – z)

= (-8x² * x) – (-8x² * y) – (-8x² *  z)

Note that the * sign connote multiplication.

The next step is to add the like terms together;

The answer therefore is = -8x³ + 8x²y + 8x²z

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6-7 skills practice solving radical equations and inequalities

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There are different types of math problems. An example of radical equations and inequalities practice question is [tex]\sqrt{x}[/tex]  = 5

What is a radical inequality?

The term radical inequality is known to be a form of an inequality that maintains a variable expression that is present within it.

For the above question, find the [tex]\sqrt{x}[/tex] = 5

The next step is to square both side:

When you square both side, it will be

x = 25.

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Express the interval as an inequality in the variable x. .

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An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a

certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts

are under consideration.

a) If any particular experimental run involves the use of a single temperature, pressure, and

catalyst, how many experimental runs are possible?

b) How many experimental runs are there that involve use of the lowest temperature and two

lowest pressures?

c) Suppose that five different experimental runs are to be made on the first day of

experimentation. If the five are randomly selected from among all the possibilities, so that any

group of five has the same probability of selection, what is the probability that a different

catalyst is used on each run?

You live 17 miles from work. You can expect to drive a minimum of miles per week. You will work about 48 weeks per year, so you can expect to drive a minimum of miles per year. You have a vacation planned and you expect to drive approximately 2,000 miles round trip. If you take the vacation, you stay under your mileage restriction if leasing

Answers

Answer:
You live 17 miles from work. You can expect to drive a minimum of
✔ 170
miles per week.
You will work about 48 weeks per year, so you can expect to drive a minimum of
✔ 8,160
miles per year.
You have a vacation planned and you expect to drive approximately 2,000 miles round trip. If you take the vacation, you
✔ will not
stay under your mileage restriction if leasing.

Fill in the blank: data-inspired decision-making can discover _____ when exploring different data sources

Answers

Data-inspired decision-making can discover commonalities when exploring different data sources.

What is data-inspired decision-making?

This is a decision-making strategy that involves making decisions by analyzing the data.

What does this method aim at discovering?

The purpose of this method is to identify patterns or commonalities to make a decision. This is especially important when analyzing data sources.

For example, customer preferences can be determined by analyzing different sources such as surveys or sales patterns, and by finding out commonalities in these sources companies can make marketing decisions.

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What is the value of x? sin64°=cosx enter your answer in the box.

Answers

Answer:

x = 26

Explanation:

x = cos^-1(sin(64))

= 26

One of the purposes of research is to address the pressing issues in the society. As a student who is a keen observer and is aware of the local, national or international affairs, list down three crucial concerns and propose a solution for each. (5 points each) For example: Problern 1 (Local): Diesel price hike Proposed Solution:Used Cooking Oil as a Substitute for Diesel Problem 1: Local Issue 2: National Issue 3. International Issue Proposed Solution​

Answers

The crucial concerns for Diesel price hike are:

Do leads to an increase in the prices of goods and services.Lowers the purchasing power of money. Has a negative impact on consumers' welfare.

The Proposed Solution are:

Create an alternative kind of fuel.Find an alternative supplier for the diesel at cheaper price.

Why is diesel very expensive?

The movement to a form of fuel that is less polluting and one that has a reduces sulfur diesel fuels in the United States is known to have influence the increase in the price of diesel fuel production and also its distribution costs.

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Antigens are foreign proteins that invade the systems of organisms. Vaccines function by stimulating an organism’s immune system to develop antibodies against a particular antigen. Developing a vaccine involves producing an antigen that can be introduced into the organism being vaccinated and which will trigger an immune response without causing the disease associated with the antigen. Certain strains of bacteria can be used to produce antigens used in vaccines

Answers

The process described above is about how vaccines are designed using antigens.

What are Vaccines?

Vaccines may be defined as substances that are used to enhance or catalyze the creation of antibodies in the human body.

When injected in the host, Vaccines help to provide immunity against one or more diseases.

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Strains of bacteria can be used to produce antigens used in vaccines and are given to individuals during Vaccination.

What is Vaccination?

This is the process by which an individual's immune system becomes fortified against an infectious agent.

The inactive strain of the infectious agent is usually injected to elicit an immune response when future infection takes place.

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When reacting na with cl2, we calculated that the theoretical yield should be 13

Answers

Answer:

96.15

Explanation:

when reacting with Na with Cl2, we calculated that the theoretical yield should be 13.0 grams. our actual yield was 12.5 grams. what is the percent yield? 96.15

The main acid in the stomach is hydrochloric acid (hcl). which chemical equations show a reaction that occurs when someone takes an antacid? check all that apply.

Answers

The chemical equations that show  a reaction that occurs when someone takes an antacid are;

HCl + NaHCO₃ -> NaCl + H₂O + CO₂2HCl + CaCO₃ -> CaCl₂ + CO₂ + H₂O2HCl + Mg(OH)₂ -> MgCl₂ + 2H₂O

What is the correct chemical equation?

Hydrochloic acid would normally react with the basic substances in the stomach. Now, these substances that react with hydrochloric acid in the stomach are magnesium hydroxide, sodium bicarbonate and calcium carbonate.

Thus, from the above dewscription, the chemical equations that show  a reaction that occurs when someone takes an antacid are;

HCl + NaHCO₃ -> NaCl + H₂O + CO₂2HCl + CaCO₃ -> CaCl₂ + CO₂ + H₂O2HCl + Mg(OH)₂ -> MgCl₂ + 2H₂O

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The principal square root of any nonnegative real number is always nonnegative.

Answers

the principal square root of any non negative real number is always non negative. Remember that whenever we take square root both sides, let's say excess square is one.

yall tmr my birthday and my SAT i rlly need help on this question

Answers

Answer:

B

Explanation:

I added the 1 to 4 and the 5 or more to get the numerator and then plugged in 100 as the denominator to get the probability.

p.s. have the loveliest birthday ever and good luck on your SAT's

drag the labels to identify the events in the generation of an action potential in order and correctly name the refractory periods.

Answers

An absolute refractory period occurs during depolarization while the relative refractory period takes place during repolarization.

What is an action potential?

An action potential refers to a sudden, quick change in electrical potential (voltage) during the transmission of an impulse (signal) to a receptor, across a cellular membrane.

The order of events in the generation of an action potential include the following:

At -60 mV, graded depolarization transmits an area of excitable membrane to threshold.At +30 mV, voltage-gated sodium channels are opened for sodium ions to move into the cell. As repolarization begins, sodium channels close, voltage-gated potassium channels are opened for potassium ions to move out of the cell. Finally, both sodium and potassium channels return to their normal states as the potassium channels is closed.

In conclusion, an absolute refractory period occurs during depolarization while the relative refractory period takes place during repolarization.

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what is the major organic product obtained from the following reaction?

Answers

In the image attached of the question, the major organic product obtained from the reaction is the second option.

What is an organic element?

The organic elements are known to be some chemical elements that are said to be useful to life and are known to be found in almost all organic molecule such as carbon and hydrogen.

Conclusively, In the image attached of the question, we can see the major organic product obtained from the reaction is have a double bond of oxygen as the key product of the reaction.

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In paragraphs 19 and 20 of this story, the man reflects back on his own father cooking for him, and he recalls one incident in particular that he feels bad about. Write a story about this incident, told in first person by the man’s father. Use details from the paragraphs, and add elaboration of your own to show the father’s feelings about what happened and how he reacted to it

Answers

People often write story about different incident. The story is given below.

The incident?

The incident is a story that revolve around our character which I named Olu. He was an man who loved to make food  for his son. His feel is immersed in all his love but Chide his son did not reciprocate his love.

The father was said about his child who did not look at the meal he has prepared for him. He was sick and dying and that was the only thing he could do for him. He knows he loves his son and his son loves him too, but this character of his displeased him but still he accepted and move on.

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Choose the correct percentage to complete the sentence. more than of organizations in the united states report that they are unprepared for even basic security attacks.

Answers

More than 70% of organizations in the United States report that they are unprepared for even basic security attacks.

What is a security attack?

A security attack is a type of computer attack aimed at stealing, damaging and/or exposing digital information.

A security attack may be aimed, for example, to steal passwords in a given bank or financial organization.

The number of security attacks has increased in a sudden manner in the last years around the world.

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Answer:

70%

Explanation:

Ed22

Suppose a man is heterozygous for heterochromia, an autosomal dominant disorder which causes two different‑colored eyes in an individual, produced 25‑offspring with his normal‑eyed wife. of their children, 15 were heterochromatic and 10 were‑normal. calculate the chi‑square value for this observation.

Answers

The chi‑square value for this observation is 1.96

What is Chi-square?

This is known to be a form of  statistical test that is employed so as to investigate the differences that exist between categorical variables taken from a random sample.

It is used to construct or to  judge goodness of fit that exist between expected and observed results.

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First i've learned that perpendicular lines brainly

Answers

Answer:

Perpendicular lines are lines which intersect each other.

You are a driver of a dump truck with a trailer (dump bin) that is 21 feet long, 8 feet wide, and 6 feet tall. daily, you haul full loads of dirt from one location to another. the dump bin can hold dirt equivalent to 1.2 times its capacity. what is the minimum number of trips needed to haul 20,000 cubic feet of dirt?

Answers

Answer: I think A

Explanation:

What do we have to do to the conversion factor if we are dealing with units that measure area?

Answers

You would cube it so if theres a cube it answer than use that

The conversion factor to the units of the measure of area is squared. Thus, option D is correct.

What is a conversion factor?

A conversion factor is given as the number that enables the changing of one set of units to another with the help of mathematical operations such as division or multiplication.

The area can be given as the region that is found bounded within the shape. The unit of area has been measured in square units. Thereby the conversion factor dealing with the area made to be squared. Thus, option D is correct.

The complete question is attached in the image.

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A polygon with all equal sides and equal angles is brainly

Answers

Answer:

It's  a regular polygon

Explanation:

A polygon having equal sides and equal angles is a regular polygon. A regular polygon has three parts: Sides.

A food worker has prepared a large pot of rice that must be cooled

Answers

Hi! I hope this answer can help you :)

To safely cool rice, it is recommended that after cooking, the pot of rice should be separated into plates and immediately stored in a refrigerator.

Each of the following statements is arguably true of thermometers. Which of them is most helpful to keep in mind if you are conducting an experiment to measure the specific heat of a material?

Answers

The statement that is true of thermometers is; The temperature reported by a thermometer is never precisely the same as its surroundings.

What is the function of thermometer in an experiment?

In the experiment to determine the specific heat of a material, the theory will be one which explains that when a heat interchange takes place between two bodies that were having different temperatures at the beginning, the quantity of heat the warmer body looses is equal to that gained by the cooler body to reach the equilibrium temperature. This is true only if no heat is lost or gained from the surrounding.

Now, If heat is gained or lost from the surrounding environment, the temperature readings by the thermometer will be incorrect. The experimenter should therefore have in mind that for accurate results, the temperature recorded by the thermometer is similar to that of the surrounding at the beginning of the experiment and if it differs then note that  heat is either gained or lost to the environment.

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During the halftime performance for a football game, the color guard is planning a new formation in which seven members stand around a central point and stretch their flag to the person immediately to their left. 10. what is the measure of each exterior angle of the formation?

Answers

There are different kinds of angles. The measure of each exterior angle of the formation is 51.4.

What is a exterior angle in math?

The term exterior angle is known to be the angle that is found between a side of a polygon and that of an extended adjacent side.

The shape of the halftime is regular heptagon.

Note that a  regular heptagon has 7 congruent sides and 7 congruent interior angles.

So the exterior angles are said to be congruent, based on the fact that angles supplementary to congruent angles are  regarded as congruent.

So Let take n as the measure of each exterior angle.

7n = 360

n= 360/n

To Solve for n =51.4

Therefore, The measure of each exterior angle of the formation is 51.4.

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In the electrolysis of a molten mixture of rbcl and kbr. identify the product that forms at the negative electrode and at the positive electrode.

Answers

The product that are formed at the negatively charged electrode (cathode) and at the positively charged electrode (anode)

Strontium at cathode.Chlorine at anode.

What is electrolysis?

Electrolysis can be defined as the chemical decomposition of a chemical compound or substance into their respective elements by passing direct electric current through them in a solution (liquid) containing ions.

In the electrolysis of a molten mixture of rubidium chloride (RbCl) and Potassium bromide (KBr), the product that are formed at the negatively charged electrode (cathode) and at the positively charged electrode (anode)

Strontium at cathode.Chlorine at anode.

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