A hyperbola has vertices (±5, 0) and one focus (6, 0). what is the standard-form equation of the hyperbola?

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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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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Answer:

0.64M

Explanation:

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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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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Answer:

URUGUAY

Explanation:

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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Answer:

30?

Explanation:

thats if it is a rectangle

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:

>.<

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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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

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  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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[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]

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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The growth of squatter settlements within urban areas in Latin America can be explained by rapid migration to cities and the lack of suitable regulations.

An informal settlement is an illegal occupation of public and/or private areas by people who generally do not have a proper home to live in.

The uncontrolled proliferation of illegal settlements is due to the lack of public policies aimed at regulating this type of occupation.

The lack of homes is a real problem in many countries around the world, especially in Latin America.

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Answer:

20 marbles

Explanation:

6 red marbles

4 blue marbles

7 green marbles

3 yellow marbles

Answer:

which day will you select?:-)

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.

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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Answer:

"Don't blame me for what happens"

"I warn you of the consequences"

Explanation:

Hope it helps

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!

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

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

The ph of the buffer solution given after 0.750 mol of H⁺ have been added is; 4.34

pKa = -log(Ka) = 4.20

[A⁻] = [NaC₇H₅O₂]

[HA] = [HC₇H₅O₂]

Concentration of NaC₇H₅O₂ in the preferred buffer solution is;

[132.8g/(144.11 g/mol * 300 mol)] * 1000 mL/1 L = 3.07 M

Formula for the PH here is;

pH = pKa + log [A⁻/HA]

Thus;

pH = -log(6.3 x 10⁻⁵) + log [3.07/2.31]

pH = 4.34

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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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Christians fight against spread of devil worship​ because they believed the devil is the one who makes people to do bad/evil thing and when he is worshipped, the devil will have more power to oppress and control people.

Theistic Satanism is known to be a Religious belief that is often called religious Satanism, spiritual Satanism, etc.

It is known as the body of people or groups that sees Satan to be an their god and as such the bible states that the work of Satan is to do evil and separate man from God. Christians are against the worship of a being who leads others to eternal doom and to do evil.

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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.

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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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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