Sam is proving the product property of logarithms. Step justification mc030-1. Jpg given mc030-2. Jpg substitution which expression and justification completes the third step of her proof? mc030-3. Jpg; power rule of exponents mc030-4. Jpg subtraction property of exponents mc030-5. Jpg multiplication rule of exponents mc030-6. Jpg division property of exponents.

Answers

Answer 1

Based on the properties of logarithms, Sam's justification for the third step would be  [tex]log_{b} ( b ^{x} ^{+} ^{y})[/tex] power rule of exponents.

Why would this be the third step?

When multiplying bases that are the same but with different exponents, the exponents should be added.

= [tex]log_{b} (b^{x} . b^{y})[/tex]

Can be written as:

= [tex]log_{b} ( b ^{x} ^{+} ^{y})[/tex]

In conclusion, option C is correct.

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Sam Is Proving The Product Property Of Logarithms. Step Justification Mc030-1. Jpg Given Mc030-2. Jpg
Answer 2

Answer:

c

Explanation:

got it right on edge 2022

Sam Is Proving The Product Property Of Logarithms. Step Justification Mc030-1. Jpg Given Mc030-2. Jpg

Related Questions

What examples of figurative language does frost use in "the road not taken"? how do these help shape the deeper meaning of the poem?.

Answers

There are a lot of aspect to language. The examples of figurative language that Robert Frost uses are "the road" as kind of  metaphor for a course not taken in life while the "yellow wood" stands for an autumn light.

When you see  the first line, the narrator remember his fateful choice: "Two roads diverged in a yellow wood." "Two roads" are a metaphor for 2 options.

What figurative language is used in The Road Not Taken?

The Language used is Metaphor. Metaphor is said to be used in the entire poem and therefore serves as an extended metaphor.

Conclusively, The road in the poem is known to be a metaphor for human life and the path we have to take through it.

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Calculate the kinetic energy in j of an electron moving at 6. 00 × 106 m/s. The mass of an electron is 9. 11 × 10-28 g.

Answers

Answer:

636

Explanation:

6.00× 106 = 636

9.11 × 10 _28= 63,1

636 ÷63,1 = 10, 079

Suppose that prolog facts are used to define the predicates mother(m, y) and father(f, x), which represent that m is the mother of y and f is the father of x, respectively. Give a prolog rule to define the predicate grandfather(x, y), which represents that x is the grandfather of y. Use a comma to denote "and" and a semicolon to denote "or. ".

Answers

Prolog languages are logics that are used when creating programs that require artificial intelligence.

The prolog rule to define the predicate grandfather(x, y) is grandfather(X,Y) :- mother(M,Y), father(X,M); father(F,Y), father(X,F)

How to determine the prolog rule

From the question, we have the following definitions:

mother(m, y): m is the mother of yfather(f, x): f is the father of x

For x to be the grandfather of y, then either of the following definitions must be true

m is the mother of y, and x is the father of mf is the father of y, and x is the father of f

Using the above highlights, the prolog rule would be

grandfather(X,Y) :-

mother(M,Y), father(X,M);

father(F,Y), father(X,F)

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Prolog languages are logics that are used when creating programs that require artificial intelligence.

The prolog rule to define the predicate grandfather(x, y) is grandfather(X,Y) :- mother(M,Y), father(X,M); father(F,Y), father(X,F)

How to determine the prolog rule?

mother(m, y): m is the mother of y

father(f, x): f is the father of x

For x to be the grandfather of y, then either of the following definitions must be true

m is the mother of y, and x is the father of m

f is the father of y, and x is the father of f

Using the above highlights, the prolog rule would be

grandfather(X,Y) :-

mother(M,Y), father(X,M);

father(F,Y), father(X,F)

Therefore, Prolog languages are logics that are used when creating programs that require artificial intelligence.

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Classify each phrase as describing the molecular structure of graphite, diamond, or both substances.

Answers

The distinction showed by the classification describing the molecular structure of graphite and diamond shows that:

Graphite and diamond have different molecular structures and different properties.

What are Graphite and Diamond?

Graphites and Diamonds are allotropes of Carbon that show their chemical identification with carbon but are different in physical forms.

Some of their differences include the following:

Graphite has sp² hybridized while diamond has sp³ hybridization of carbon atoms.

As a result, Graphite possesses the tendency to conduct electricity while diamond cannot.

Therefore, we can conclude that since graphite and possess have different hybridization, they have different molecular structures and different properties.

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Which of the following scenarios are examples of job separation (i. E. , workers who quit or were laid off) as a result of creative destruction?.

Answers

The scenarios which are examples of job separation as a result of creative destruction include:

A company installs a new accounting system that does all the billing automatically, which subsequently shuts down the accounting department.Indeed.com provides an Internet-based job service; as a result, newspaper job offerings shrink and newspapers lay off workers.The book retailer Borders laid off 19,000 employees when it went bankrupt in 2011.

What is job separation?

Job separation can be defined as the termination (end) to an employee's working relationship with his or her employer due to certain factors and circumstances such as creative destruction.

What is creative destruction?

Creative destruction refers to deliberate dismantling or termination of an employee's job position, in order to make way for innovation and improved methods of production.

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What event is not part of the process of dna replication.

Answers

Answer:

Ribosomes are synthesized

Explanation:

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What is the best summary of this monologue? antony wants to send octavius’s servant to give octavius a report after antony speaks to the people about caesar’s death. Antony sends octavius’s servant to octavius to tell him that rome is dangerous and that it is not safe for him to return yet. Antony tells octavius’s servant to tell octavius what has happened and to say that rome is not safe for octavius yet. Antony tells him to hurry, but then tells him to wait until after he takes caesar’s body to the marketplace to see how the people react to his eulogy. Antony tells octavius’s servant to hurry back to octavius to tell him what has happened and warn him not to come to rome. Then antony takes caesar’s body to the marketplace, where he wants to convince the people of rome to take revenge on caesar’s killers.

Answers

The summary of the monologue is

"Antony tells Octavius's servant to tell Octavius what has happened and to say that Rome is not safe for Octavius yet. Antony tells him to hurry, but then tells him to wait until after he takes Caesar's body to the marketplace to see how the people react to his eulogy".

Here is the monologue

From act 3, scene 1, of Julius Caesar.

ANTONY. Post back with speed, and tell him [Octavius] what hath chanced. Here is a mourning Rome, a dangerous Rome, No Rome of safety for Octavius yet. Hie hence and tell him so.—Yet stay awhile. Thou shalt not back till I have borne this corpse Into the market-place. There shall I try In my oration how the people take. The cruel issue of these bloody men; According to the which, thou shalt discourse. To young Octavius of the state of things. Lend me your hand. [Exeunt with CAESAR's body]

What is summary?

A summary refers to a concise, brief or presented in a condensed form of a passage, excerpt or text.

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Answer:

c............

Explanation:

Difference between conflict avoidance confrontation and resolution.

Answers

Conflict avoidance is where you take steps to remain clear of disputes!

Conflict confrontation is when you want to stop any disagreements and get them out in the open and shut it down before anything bad happens.

Conflict resolution is when and where a conflict is settled. It is no longer any form of conflict.

Giraffes have longer necks thanother herbrivores. This trait is probably most important for.

Answers

It’s important for gaining access to different food sources.

Displayed to the right are two carts connected by a cord that passes over a small frictionless pulley. Each cart rolls freely with negligible friction. Consider the mass of the cart to be m1 and the angle the first cart sits on to be θ1, while the mass of the second cart as m2 and the angle it sits on to be θ2.

Answers

The acceleration is given by the tension in the rope and the component

of the component of the weight acting along the plane.

Response:

[tex]The \ expression \ for \ the \ acceleration, \ a \ is\ \underline{a = \dfrac{m_2 \cdot g \cdot sin \left(\theta_2 \right) - m_1 \cdot g \cdot sin \left(\theta_1 \right) }{m_1 + m_2}}[/tex]

How can the expression for the acceleration be derived?

A possible question is the expression for the acceleration, a in terms of the mass, m₁, m₂, and the angles θ₁ and θ₂.

The drawing representing the situation, obtained from a similar question and created with MS Visio, is attached

From the drawing, we have;

By equilibrium of forces, the tension in the cable, T, is given as follows;

For the cart, m₁; T = m₁·a + m₁·g·sin(θ₁)

For the cart, m₂; T = m₂·g·sin(θ₂) - m₂·a

Where;

a = The acceleration that the two carts experience

Equating both values of T gives;

m₁·a + m₁·g·sin(θ₁) = m₂·g·sin(θ₂) - m₂·a

m₁·a + m₂·a =  m₁·g·sin(θ₁) - m₂·g·sin(θ₂)

The

[tex]a = \mathbf{\dfrac{m_2 \cdot g \cdot sin \left(\theta_2 \right) - m_1 \cdot g \cdot sin \left(\theta_1 \right) }{m_1 + m_2}}[/tex]

The acceleration, a, that the two carts experience in terms of m₁, m₂, θ₁, θ₂,

is therefore;

[tex]a = \underline{\dfrac{m_2 \cdot g \cdot sin \left(\theta_2 \right) - m_1 \cdot g \cdot sin \left(\theta_1 \right) }{m_1 + m_2}}[/tex]

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What general trend does electronegativity follow on the periodic table.

Answers

Answer:

As you go across the table and the periods get higher, the electronegativity increases. As you go down the periodic table by groups, the electronegativity decreases

Explanation:

Answer:

electronegativity decreases down a group and increases from left to right of the table

Explanation:

electronegativity shows how well an atom can attract electrons to itself in a covalent bond.

It is measured on the pauling scale, and the most electronegative element is fluorine.

electronegativity decreases down the group, because the increasing number of shells decreases the attraction between the nucleus and outermost electrons.

Electronegativity increases from left to right of a row, as across the row the number of protons in the nucleus increases. This allows a stronger attraction between outermost electrons and the nucleus.

So electronegativity increases up a group and across the row of the periodic table. Fluorine is the most electronegative element, measuring 4 on the pauling scale ( 4 is the highest number).

Hope this helps!

Suppose that a bored student wants to go to a restaurant for lunch, but she only has an hour in which to go, eat, and get back in time for class. Considering that it usually takes about 30 minutes in most restaurants to get served and to eat, what is the farthest restaurant the student can go to without being late for class? assume in this part that the student has a car that can accelerate to its top speed in a negligible amount of time. Also, the local speed limit is 30 mph and the student would not like to get a speeding ticket.

Answers

Well, it really depends, one would need to know the restraunts around them and know how long it would to take to get to them.

Now lets say there is one 10 minutes away from the school, but the serving time is a about 30 minutes, then again it would also depend on how fast the student can eat, assuming it takes about 20-30 minutes, the student would most likely be 10-20 minutes late.

Hope this helped!! (And good luck with getting the food!!) Have a nice day!!

The molar heat of vaporization of acetone, c3h6o, is 30. 3 kj/mol at its boiling point. How many kilojoules of heat would be liberated by the condensation of 5. 00 g of acetone?.

Answers

The kilojoules of heat that would be liberated by the condensation of 5. 00 g of acetone is 2.612 kJ.

What is the molar heat of vaporization?

The molar heat of vaporization is the amount of energy required to convert one mole of a chemical substance from the liquid to the gaseous phase provided that the temperature and pressure are constant.

From the given parameters:

The molar heat of vaporization = 30.3 kJ/molThe mass of acetone liberated = 5.00 gThe molar mass of acetone = 58 g/mol

Therefore, the amount of heat that would be liberated by the condensation of 5.00 g of acetone is:

[tex]\mathbf{ =\dfrac{ 5.00 g}{58 \ g/mol } \times 30.3 \ kJ/mol }[/tex]

= 2.612 kJ

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Swedish scientist carl linnaeus is known for creating the first version of the modern taxonomy system in the 1700s. Which of the following is not a classification in the linnaean system of naming?.

Answers

The answer is D; Prokaryote

A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the table). Use simpson's rule to estimate the distance the runner covered during those 5 seconds. (round your answer to three decimal places. ).

Answers

The sum of the product of the times and velocity is given by the definite

integral of the function of velocity which is given by Simpson's rule.

Response:

The distance the runner covered during the 5 seconds is approximately 44.772 m

What is the Simpson's rule, and how can it be used to estimate the distance?

The Simpson's rule is used for to approximate a definite integral

The possible table of values of the velocity and time obtained from a similar question is presented as follows;

[tex]\begin{array}{|c|c|c}t(s)&v(m/s)&\\0&0\\0.5&4.67\\1.0&7.32&\\1.5&8.84&\\2.0&9.73&\\2.5&10.24&\\3.0&10.57&\\3.5&10.63&\\4.0&10.76&\\4.5&10.87&\\5.0&10.87&\end{array}\right][/tex]

Distance = Velocity × Time

[tex]The \ distance \ is \ given \ by \ the \ integral, \ \mathbf{\displaystyle \int\limits^a_b {f(t)} \, dt}[/tex]

Where;

f(t) = v

dt = Small duration in time

According to Simpson's rule, we have;

[tex]\displaystyle \int\limits^a_b {f(x)} \, dx = \mathbf{\frac{\Delta x}{3} \left(f(x_0) + 4 \cdot f(x_1) + 2\cdot f(x_3) + ... + 2\cdot f(x_{n - 2}) + 4 \cdot f(x_{n-1}) + f(x_n) \right)}[/tex]

Δx = [tex]\mathbf{\dfrac{b - a}{n}}[/tex]

n = 10

Which gives;

[tex]\dfrac{5.0 - 0}{10} = \dfrac{1}{2} = 0.5[/tex]

[tex]d = \displaystyle \int\limits^a_b {f(t)} \, dt = \mathbf{ \frac{0.5}{3} \left(f(t_0) + 4 \cdot f(t_1) + 2\cdot f(t_3) + ... + 2\cdot f(t_{10 - 2}) + 4 \cdot f(t_{10-1}) + f(x_{10}) \right)}[/tex]

Therefore;

d = 0.5÷3×(0 + 4 × 4.67 + 2 × 7.32 + 4 × 8.84 + 2 × 9.73 + 4 × 10.24 + 2 × 10.57 + 4 × 10.63 + 2 × 10.76 + 4 × 10.87 + 10.87) ≈ 44.772

The estimate of the distance covered during the 5 seconds, d ≈ 44.772 m

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What was the chemical purpose of heating the mnso4⋅h2o? why is this procedure important?.

Answers

The chemical purpose of heating the mnso4⋅h2o was to remove the water

present in it through dehydration.

What is Dehydration?

Dehydration is defined as the loss of water mostly as a result of heating.

The water present usually evaporates and the compound/mixture dries up.

The procedure of heating was however important in order to get an stable

weight of the compound  needed for the experiment and to

ensure the results  gotten are very accurate.

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What does a model of the carbon cycle show?(1 point).

Answers

Answer:

The carbon cycle is the biogeochemical cycle by which carbon is exchanged among the biosphere, pedosphere, geosphere, hydrosphere, and atmosphere of the Earth. Carbon is the main component of biological compounds as well as a major component of many minerals such as limestone. Along with the nitrogen cycle and the water cycle, the carbon cycle comprises a sequence of events that are key to make Earth capable of sustaining life. It describes the movement of carbon as it is recycled and reused throughout the biosphere, as well as long-term processes of carbon sequestration to and release from carbon sinks. Carbon sinks in the land and the ocean each currently take up about one-quarter of anthropogenic carbon emissions each year.

Explanation:

Hope this helps! :)

Kate cuts her foot while hiking. She forgot to pack bandages, but she has a tube of superglue and uses that to seal the wound. Kate’s ability to invent a solution uses the ________ intelligence component of the triarchic theory of intelligence.

Answers

Kate used the Creative intelligence component of the triarchic theory of intelligence to seal her wound with super glue when she had no bandages

What is the Creative Intelligence of the triarchic theory of intelligence?

According to Robert Sternberg who developed the  triarchic theory of intelligence where he explained that intelligence comprises of three parts which includes:

The  practical The creativeThe analytical

The Creative is characterized by the ability to be inventive and create a   a solution that solves a problem or situation.

Here, Kate using a Superglue where there was no bandage  for her wound shows that she has Creative Intelligence .

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What do the stage directions show the reader about rabbi low’s viewpoint? he fears symbols and shapes he fears pearl will reject him he is afraid for his townspeople he is afraid of his dreams.

Answers

Answer: B

Explanation:

I'm doing the unit test if it's wrong them sorry I'm a dumas

Answer:

b

Explanation:

Which term is defined as a substance that cannot be broken down chemically into a simpler substance?.

Answers

A pure or elementary substance cannot be broken down into smaller or simpler constituents without loosing all its original properties; such pure substances are called elements. each element is made up of identical particles of matter called atoms.

A 7. 5 kg block is attached to a horizontally-mounted spring with a spring constant of 750 j/m2. The block is released from rest with the spring extended by 15 cm from its normal length of 27 cm. The horizontal surface along which the block moves is frictionless. How long (in s) will it take this system to complete 2. 5 oscillations?.

Answers

It takes the system 1.58 s to complete 2.5 oscillations

Period of oscillation

The period of oscillation of the horizontally mounted spring is T = 2π√(m/k) where

m = mass of block = 7.5 kg and k = spring constant = 750 N/m²

Substituting the values of the variables into the equation, we have

T = 2π√(m/k)

T = 2π√(7.5 kg/750 N/m²)

T = 2π√(0.01 kgN/m²)

T = 2π × 0.1 s

T = 0.2π s

T = 0.2 × 3.142

T = 0.6284 s

T ≅ 0.63 s

Time to complete 2.5 oscillations

Since one oscillation = period = 0.63 s, then 2.5 oscillations = 2.5 × 1 oscillation = 2.5 × 0.63 s

= 1.575 s

≅ 1.58 s

So, it takes the system 1.58 s to complete 2.5 oscillations

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Read both passages. In a well-written paragraph, compare and contrast the statements about love conveyed in both the excerpt from gibran's "the prophet" and i corinthians 13 from the bible.

Answers

The statements about love conveyed in Khalil Gibran's "The Prophet" and in 1 Corinthians 13 of the Bible are similar in that they convey positive human feelings about life, religion, and love between individuals.

Synopsis of the book "The Prophet"

The story begins with the arrival of the ship that would take the central character Al Mustafa to his homeland and the friendly reception of the population with his arrival, who asked him to stay.

Therefore, the book develops through parables that convey ideas of valuing personal relationships, doing good and solidarity, being similar to the verses of 1 Corinthians 13 of the bible, which explains the importance of love as the greatest of feelings.

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A soccer ball is placed 12 feet away from the goal, which is 8 feet high. You kick the ball and it hits the cross bar along the top of the goal. What is the angle of elevation of your kick? draw the picture below and solve. Rember to use inverse trig and look at formula sheet for help.

Answers

The angle of elevation at which he kicks the ball is; 36.89°

Finding the angle of elevation

We are told that the ball is 12 ft away and so we will consider it to be the horizontal distance.

The post is 8 ft high and so we will consider it to be the vertical distance.

Thus, we can use trigonometric ratio to find the angle of elevation. Thus;

tan θ = 8/12

θ = tan⁻¹0.75

θ = 36.89°

In conclusion the angle of elevation at which he kicks the ball is 36.89°

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If a cat has 38 chromosomes how many chromosomes are in the following cells.

Answers

Answer: the cat would have 38 chromosomes in the cells

Explanation:

69 chromosomes is true

What should be done to get the most benefits from exercise with the least amount of risk?.

Answers

To get the most benefit from exercise with the least amount of risk; Moderate intensity with higher frequency is advised.

Risk and Benefit factors of Exercise

A couple of exercising methods can be emulated which include;

Exercising at a high intensity such as sprinting or running.Exercising at a moderate intensity such as brisk walking, swimming or cycling.Exercising at a low intensity.

However, among the highlighted techniques above, it is advised to exercise at moderate intensity but with higher frequency.

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Ashlyn needs to bring a dessert to her dinner party.

Answers

Answer:

cakes , homemade ice cream

Explanation:

she could make a homade ice cream that has different types of flavour and could also make some less sugar cakes

Discuss two ways in which some cultural views can affect relationships negatively.

Answers

Explanation:

different cultures have different beliefs and with that being said ... not everything done in your culture can be like or approved of by ur spouses family/ culture and so this might affect the relationship negatively

Answer:

*Religious practices

*Gender Roles

Antonia clark, the senior marketing manager of tough mudder, talks about how operations teams, creative teams, and merchandising teams have to work collaboratively to put on events. If she assigned specific members from each of these units to work together semi-autonomously on a new team to create a new product or event, then this would be an example of what concept?.

Answers

The above scenario is  an example of  Venture Team concept.

What is venture team?

A venture team is known to be a kind of management team that is said to be put together for the aim of a new business operation.

This kind of team is known to supervises and handles a start-up business, looking into all the details from raising venture capital to handling the initial operations.

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Is this statement true or false? artists since ancient times added decoration to functional objects people used in daily life.

Answers

It’s true, sorry if I’m wrong

What mass in grams of nacl would need to be added to 2051 g of water to increase the boiling temperature of the solution by 1. 500 °c? (kb for water is 0. 5100 °c/m).

Answers

You need to add 171882,35 grams to increase the boiling point by 1500 °C.

What is the boiling point elevation?

This factor describes how much the elevation point of a substance increases when another substance is added. In the case of water, the boiling point elevation is 0. 5100 °c/m, which means that by dissolving a substance in water the boiling point goes from 100 °C to 100,51 °C.

How much salt do you need to add to increase the boiling point by 1500 °C?

The number of grams in one mole of salt is equal to 58.44 grams, this means that every 58.44 grams added the temperature will increase by 0.51, with this information, we can calculate the total of salt that needs to be added.

58.44 grams = + 0.51

 x                  =   1500

171882,35 grams

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