16.2 arc length and radian measure homework answers

The number of ways to assign three jobs to five employees if each employee can be given more than one job is 125 ways.

The term means the  act of giving any duty or any assignment to a person, People are often assign to different jobs in the office.

Note that there are 3 jobs and 5 employees. So the equation will be

5³ =125

So, therefore, there are 125 ways to assign the job.

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The pair two numbers whose difference is 14 and the product is as small as possible (i.e. -49) are (-7,7)

In mathematical concepts, word problems involve a crucial understanding of the problem and knowing which mathematical method and arithmetic operations are best suited to solving the problem.

If we assume that the smaller number should be = a and the larger number = a + 14.

Thus, their product (X) can be expressed as:

= a(a+14)

= a² + 14a

The smallest possible value implies the minimum value, i.e.

[tex]\mathbf{\dfrac{dX}{da} = 2a + 14}[/tex]

Thus,

2a + 14 = 0

a = - 14/2

a = -7

Therefore, we can conclude that the pair of two numbers whose difference is 14 and the product is as small as possible (i.e. -49) is (-7,7).

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The meaning of the word maritime in the passage based on the context clues is: Bordering the sea; nautical.

Context clues are defined as hints that are seen within a paragraph or passage of a text which aids the reader in understanding certain words or events taking place in the text. Thus, context clues will help the readers to fully grasp what the text is all about.

Finally, in the given passage we see that the word "maritime" is based on the context clues that means bordering the sea; nautica

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Answer:

A - Bordering the sea; nautical

Explanation:

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Rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.

It is an approach that considers that behavioral and emotional problems could have their genesis from three sources: thought, emotional and behavioral.

This affirmed that people are largely responsible for their disturbed feelings, therefore, those same people have all the resources to be able to modify their thoughts and bring lasting and stable states to their lives.

Therefore, we can conclude that rational-emotive behavior therapists propose to review the thought patterns associated with emotional discomfort where the source of much unhappiness is the individual's system of inappropriate beliefs.

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The way elements are used in the different genres is that Genre as it s made up 4 elements such as character, story, plot and setting, they are said to be mixed up together.

They can be mixed up as Story (Action) + Plot + Character + Setting = Genre.  Some other kinds of genres are crime, war, spy, adventure, etc.

Note that a lot of genres or forms of literature often depicts themes or topics in a  different way.

To Compare and Contrast genre, one must shows what is similar and what is different about the genre in question. Knowing how the genres are alike and difference can helps a person to have a better study of genre.

A lot of sub-genres of comedy are known to be different from one another when one looks at the fluctuations in terms of the characters and the story.

The Characteristics of Genre are:

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The length of each of the sides of the rhombus is 15.

This question is incomplete, the complete question is:

The length of the diagonals of a rhombus are 18 and 24. Find the length of each side of the rhombus

Given the data in the question;

A Rhombus is simply a quadrilateral whose four sides are all equal in   length i.e its an equilateral quadrilateral.

Now, to determine the length of each sides of the rhombus, we create ab expression from Pythagoras theorem:

[tex]a = \frac{\sqrt{p^2+q^2} }{2}[/tex]

Where a is the length of the sides and pq are the diagonals.

We substitute our given values into the expression above.

[tex]a = \frac{\sqrt{p^2 + q^2} }{2} \\\\a = \frac{\sqrt{18^2 + 24^2} }{2}\\ \\a = \frac{\sqrt{324 + 576} }{2}\\ \\a = \frac{\sqrt{900} }{2}\\ \\a = \frac{30}{2}\\ \\a = 15[/tex]

Therefore, the length of each of the sides of the rhombus is 15.

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The  inverses of simple quadratic and cubic functions are known to be a form of inverse relationship where one variable is said to increase while the other decreases.

A quadratic equation is known to be a type of an equation that belongs to the second degree. It implies that  it has at least one term that is often squared.

Recur that an  an inverse relationship consist of a variable that is known to often increases the other variable is one that often decreases.

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Algebra is a way we solve mathematical equations and the solution to the Algebra 2 in volume 2 exercise in the Hughton Mifflin pdf is 6.

Algebra is a field of mathematics that aids in the presentation of word problems using mathematical expressions.

To construct a meaningful mathematical expression, variables (e.g. a,b, and c, etc) are combined with mathematical operations such as addition, subtraction, division, and multiplication.

From Algebra 2 volume 2 Mathematics: Chapter 12, Excercise 6, we have:

We will replace x with (3) wherever we find (x)

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Hi, here are the ways social media platform are abused:

Hope this helps! Please correct me if I am wrong.

[tex]log(x - 1) + 2[/tex]

[tex]x - 1 > 0[/tex]

[tex]x > 1[/tex]

[tex]1 < x < \infty [/tex]

[tex] - \infty < f(x) < \infty [/tex]

Jenkins' farm tracks the procedure p(t)=3000tt+1. where t≥0 is the period (in months) since the start of the year.

As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.

We have,

Given formula: p(t) = 300t / (t + 1)

As time (t) increases, the denominator (t + 1) also increases.

The rabbit population (p(t)) is calculated by dividing 300t by (t + 1).

Now, let's examine the behaviour as t becomes larger:

When t is very small (close to 0), the population p(t) is also small, since the denominator (t + 1) is close to 1.

As t increases, the denominator (t + 1) grows, causing the value of p(t) to increase.

However, the rate of increase slows down as t gets larger.

This is because the denominator grows faster than the numerator (300t).

Eventually, as t becomes very large, the value of p(t) approaches but never quite reaches a maximum value.

This behaviour is characteristic of a rational function where the numerator's growth is outpaced by the denominator's growth, resulting in an asymptotic approach to a certain value.

Thus,

As time (t) increases, the rabbit population (p(t)) will also increase, but it will approach a maximum value without ever actually reaching it, resulting in continuous growth that slows down over time.

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#SPJ3

The complete question:

Population Growth Suppose that the rabbit population on Mr. Jenkins’ farm follows the formula p(t) = 300t / (t + 1)

where t ≥ 0 is the time in months since the beginning of the year.

(a) Draw a graph of the rabbit population.

(b) What eventually happens to the rabbit populations.

Answer:

20 marbles

Explanation:

6 red marbles

4 blue marbles

7 green marbles

3 yellow marbles

Answer:

0.64M

Explanation:

Answer:

which day will you select?:-)

It is true that a project whose positive exceeds its negative is more likely to be enacted than one that is the opposite.

A project is defined as a sequence of tasks that must be completed to attain a certain outcome. The aim of any project should be to infuse positivity and valuable contributions to society.

If the pros of a project exceed its cons, it will most likely be accepted and utilized because of the usefulness it serves.

Hence, it is true that a project whose positive exceeds its negative will be more likely to be enacted.

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An example of 8-1  financial algebra question is in stock market, what does the term Perspiration implies.

The term perspirations connote sweating or hard work.

The term Financial Algebra is known to be a type of course that is designed for student so as to have a good foundation in logical thinking and problem solving that will help them to make good decisions regarding  money and finance.

The term perspirations connote sweating or hard work and as such, using the stock market definition, it implies that one being a genius is not just all about having good ideas, but it entails working hard and also having good idea along with it.

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The question is about the angle of depression (see full question below). Please note that the correct answer, that is, the angle of depression from the platform to the center of the bridge, is 16.6⁰.

Step 1

Recall that the bottom of the rectangle has the same dimensions as the top.

Therefore,

tan = [tex]\frac{opposite}{adjacent}[/tex]

Thus, tan x = 297/995

Step 2 - We locate or calculate the inverse tangent of both sides. This results in:

x = tan⁻¹  ([tex]\frac{297}{995}[/tex])

Hence, x = 16.6⁰ approximately.

The full question is given here:

Suppose you are standing in the middle of the platform of the world's longest suspension bridge, the Akashi Kaikyo Bridge. If the height from the top of the platform holding the suspension cables is 297 meters, and the length from the platform to the center of the bridge is 995 meters, what is the angle of depression from the platform to the center of the bridge?

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Answer:

"Don't blame me for what happens"

"I warn you of the consequences"

Explanation:

Hope it helps

A circle is circumscribed about a polygon if the polygon's vertices are on the circle. For triangles, the center of this circle is the circumcenter. A circle is inscribed a polygon if the sides of the polygon are tangential to the circle. For triangles, the center of this circle is the incenter.  

hope this helps

Answer:

Yes.

Explanation:

A geometric series has a finite value only when the common ratio, r, is – 1. What is the sum of infinite series? An infinite series has an infinite number of terms. The sum of the first n terms, Sn, is called a partial sum.

Multiplication as a method of elimination is used to eliminate an unknown in a system of equations by multiplying one of the equations by a constant.

It is the method of eliminating unknowns that transforms a linear system into a triangular system, so that it is possible to solve the problem with retroactive resolution. Like for example:

A) The first step is to solve equation 2 to find the variable x.

B) The second step is to include the variable x found in equation 1.

2x(4y/3+4/3)+3y=14

17y/3=34/3

17y=34

C) The third step is to solve equation 1 to find the variable y.

D)Now that we've found the value of y, we can solve equation 1 to find the value of x.

Therefore, if the value of x is 4 and the value of y is 2, the solution of this exercise, using the Gauss method is (4;2).

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The number of clocks that are not defective is an illustration of proportions

Of the 10000 clocks, 9250 are probably not defective

From the complete question, we have the following parameter:

15 out of 200 clocks are defective

The above means that the number of clocks that are not defective is:

Not defective = 200 - 15

Not defective = 185

Express as percentage

Not defective = 185/200

Not defective = 92.5%

In 10,000 the number of clocks that are not defective would be:

Not defective = 92.5% * 10000

Not defective = 9250

Hence, 9250 of the 10000 clocks are probably not defective

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Answer:

Habla

Explanation:

Habla means to speak.

An inability to report that the two (2) rows in set B contain the same number of dots by Rebecca reflects a lack of conservation.

Cognitive development refers to the development of learning skills, thought processes, knowledge and problem-solving abilities in living organisms such as humans, especially from infancy through adulthood.

In Psychology, conservation can be defined as a logical thinking ability that allows a living organism to understand that physical quantities such as lines, doesn't change in amount even when their appearance are altered.

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The algebra shows that the line ax + y + c is perpendicular to the line x - by = d, then a/b = 1.

Firstly, write the equations of line in the slope intercept form. The equation ax + y = can be rewritten as y = ax + c. The slope of the line is m = a.

The equation x - by = d can be written as y = 1/bx - d/b. Therefore, the second slope will be 1/b.

Then, we multiply the slopes. Therefore, (-a)(1/b) = -1.

In conclusion, a/b = 1.

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Answer:

URUGUAY

Explanation:

I don't see the choices, but I will give you some definitions which can hopefully help you

Definition of Parallelogram: a quadrilateral that has two pairs of opposite sides are parallel

Hope that helps!

The Richter scale measures the largest wiggle (amplitude) on the recording, but other magnitude scales measure different parts of the earthquake. The USGS currently reports earthquake magnitudes using the Moment Magnitude scale, though many other magnitudes are calculated for research and comparison purposes.

The expected value of a car worth $25,000 after 5 years will equals to $11,093.

[tex]A = P (1 + r/n)^ni[/tex] where p = $25,000, r= 0.15, i = 1, i = 5

A = 25000* (1 + -0.15/1)^5*1

A = 25000*(0.85)^5

A = 25000*0.4437053125

A = 11092.6328125

A = $11,093

Hence, the expected value of a car worth $25,000 after 5 years will equals to $11,093.

Therefore, the Option B is correct.

Full question "What is the expected value of a $25,000 car after 5 years (rounded to nearest whole dollar)? A) $20750 B) $11093 C) $9429 D) $6250?

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