Find the slope-intercept equation of the line that passes through (0,-1) and has a slope of -2/3 .

After answering the given query, we can state that Consequently, the equation square's rotated corners are (-1, -1), (-1, -1), (1, 1), and (1,-1).

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular program are identical. as in 2x - 4 = 2, for example.

A rotation of 90 degrees counterclockwise around the origin is equal to a rotation of 270 degrees clockwise.

The rotation formula shown below can be used to revolve a point (x,y) 90 degrees counterclockwise around the origin:

(x', y') = (-y, x)

Consider a cube, for instance, whose vertices are located at (1,1), (-1,1), (-1,-1), and (1,-1). We can use the rotation formula to each vertex to rotate this cube 270° clockwise around the origin:

(1,1) -> (-1, -1)

(-1,1) -> (-1, -1)

(-1,-1) -> (1,1)

(1,-1) -> (1, -1)

Consequently, the square's rotated corners are (-1, -1), (-1, -1), (1, 1), and (1,-1). Because they were both rotated to the same position, the first two vertices are identical.

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Answer:

y = -0.25x + 4.5

Step-by-step explanation:

hope this helps :D pls mark brainliest :D

Answer:

-x+6< 5

there is a line under the less than symbol

Step-by-step explanation:

The mathematical expression is;

⇒ - x + 6 ≤ 5

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The algebraic expression is,

''The sum of the opposite of a number and six is less than or equal to

five.​''

Now,

Let a number = x

The, The opposite of a number = - x

So, We can formulate;

⇒ - x + 6 ≤ 5

Thus, The mathematical expression is;

⇒ - x + 6 ≤ 5

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Answer:

Here's an interesting project idea for mathematics that can relate three different topics:

Topic 1: Fractals

Topic 2: Chaos Theory

Topic 3: Differential Equations

Research Question: Can fractals be used to model chaotic systems described by differential equations?

In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.

Your research paper can cover the following areas:

Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.

Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.

Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.

Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.

Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.

Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.

Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.

Step-by-step explanation:

The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Answer:

The answer to your problem is the last option

Answer:

4 x 34 is greater than 34, since 4 is greater than 1.

Answer:

4 x 34 is greater than 34, since 4 is greater than 1.

Step-by-step explanation:

If the dilation is centered at the origin, the vertices of polygon A′B′C′D′ are: D. A′(−2.4, 3.6), B′(−1.2, 1.2), C′(2.4, −1.2), D′(2.4, 2.4).

In Geometry, dilation refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

Next, we would have to dilate the coordinates of the preimage by using a scale factor of 3/5 centered at the origin as follows:

Ordered pair A (-4, 6) → Ordered pair A' (-4 × 3/5, 6 × 3/5) = Ordered pair A' (-2.4, 3.6).

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3/5, 2 × 3/5) = Ordered pair B' (-1.2, 1.2).

Ordered pair C (4, -2) → Ordered pair C' (4 × 3/5, -2 × 3/5) = Ordered pair C' (2.4, -1.2).

Ordered pair D (4, 4) → Ordered pair D' (4 × 3/5, 4 × 3/5) = Ordered pair D' (2.4, 2.4).

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The triangle with sides 44, 73, and 86 is an obtuse triangle.

The Pythagorean Theorem states that the square of the length of the hypotenuse (the side opposite the right angle) in a right triangle is equal to the sum of the squares of the lengths of the other two sides, can be used to determine whether the triangle is right, acute, or obtuse.

In an acute triangle, the square of the hypotenuse length is less than the sum of the squares of the other two sides; in an obtuse triangle, the square of the hypotenuse length is greater than the sum of the squares of the other two sides.

Begin by calculating the square of each side:

\(44^2 = 1936\)

\(73^2 = 5329\)

\(86^2 = 7396\)

Let us now see if the triangle fulfils the Pythagorean Theorem:

1936 + 5329 = 7265

We know the triangle is not obtuse because 7265 is less than 7396.

1936 + 7396 = 9332

We know the triangle is not acute because 9332 is greater than 5329.

5329 + 7396 = 12725

We know the triangle is obtuse because 12725 is greater than 7265 but less than 9332.

As a result, the triangle with sides 44, 73, and 86 is obtuse.

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Answer:

Step-by-step explanation:

The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.

To find the equation of the line, we need to find the slope, which can be calculated using the formula:

m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.

In this case, the coordinates are:

P = (-3, 2) and Q = (5, 7)

So, the slope is:

m = (7 - 2) / (5 - (-3)) = 5 / 8

Next, we can use either of the points to find the y-intercept. Let's use point P:

b = y - mx, where y and x are the y and x coordinate of the point, respectively.

In this case,

b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8

So, the equation of the line joining the points P and Q is:

y = (5/8)x + 89/8

Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.

So, we have:

0 = (5/8)x + 89/8

Solving for x, we get:

x = -(89/8) / (5/8) = -89 / 5

This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.

Let's call the point of intersection with the y-axis R. The distances are then:

PR = (3, 2) and QR = (5 - (-89/5), 7)

The ratio of the distances is then:

PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47

So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.

Answer:

44.49 repeated

Step-by-step explanation:

Sorry for the wait

Answer:

Step-by-step explanation:

This number line says that  we can take all values of x that are less than or equal to 2. That is, the solution is

                                  \(x\leq 2\)

NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)

Answer:

I think the answer is True!

Step-by-step explanation:

Hope this helps

Answer:

true

Step-by-step explanation:

a negative times a negative is a positive same with dividing a negative by a negative

a positive times a negative is also negative

Using multiplication rules, it is found that the result of the multiplication will be a negative number.

Hence, in this problem we have that:

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A) The probability that a piece of toast lands butter side down when dropped from a 2.5-foot high table is 0.81 means that out of all possible outcomes of dropping a piece of toast from that height, 81% of the time it will land with the butter side facing down.

B) No, it does not mean that exactly 81 out of 100 pieces of toast will land butter side down. The probability of a single piece of toast landing butter-side down is 0.81, so when 100 pieces of toast are dropped, we can expect around 81 of them to land butter-side down on average, but the actual number may vary due to randomness.

C) Maria may or may not be surprised, depending on her expectations and the level of significance she sets for her test. To carry out a simulation, we can use a random number generator to simulate dropping 10 pieces of toast with a probability of 0.81 of landing butter side down. We can repeat this simulation multiple times, say 1000 times, and count the number of times the simulation yields 4 or fewer pieces of toast landing butter side down. If this rarely happens (e.g., less than 5% of the time), we can say that Maria should be surprised.

D) The dot plot displaying the results of 50 simulated trials of dropping 10 pieces of toast can provide some information about the variability of the outcomes. If most of the dots are clustered around 8 or 9 (which would correspond to 80% or 90% of the pieces of toast landing butter side down), then Maria's result of only 4 out of 10 pieces landing butter side down would be considered unusual, and she should be surprised. However, if the dots are spread over a wide range, it would suggest that getting 4 out of 10 is not that uncommon, and Maria should not be surprised.

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The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.

What is an expression?

A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Given expression is

2 (x+6)

Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.

The mathematical representation is a(b+c) = ab + ac.

Apply the Distributive property in the given expression:

(2×x) + (2×6)

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Answer:

\( \frac{7 \times {3}^{2} }{3} \\ \frac{7 \times 3 \times 3}{3} \\ = 7 \times 3 = 21 \\ thank \: you\)

Answer:

Falso.

Step-by-step explanation:

Según la propiedad cero de la multiplicación, todo número multiplicado por cero dará como resultado cero, es decir, ni un número negativo ni un número positivo. Esto es así debido a que el número 0 no representa por sí mismo ningún valor, por lo que dicho valor no puede ser aumentado ni disminuido en forma proporcional.

Answer:

its 839 because it says in total-

Answer:

839

Step-by-step explanation:

The amount that each student will have to raise on average in order to meet the goal would be $40

First, find the remaining amount that the members of the Westview Journalism Club are trying to raise:
= Amount to raise - Amount already raised

= 2, 100 - 1, 180

= $920

The amount that each student in the club will have to raise on average can be found as:

= Amount remaining to be raised / Number of students in the Westview Journalism Club

= 920 / 23

= $40

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After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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Answer:

Center ( -8, 1 )

Radius ( 13 )

The nearest kilometers to 999.09344471 km is 1000 km.

Given value is 999.09344471 Km.

We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.

Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only  the value after the decimal (934) is to be rounded off which is (900).

So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.

Again rounding off 999.900 km to nearest km so it becomes 1000 km.

The nearest kilometers to 999.09344471 km is 1000 km.

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Answer:

The 99% confidence interval for p in this case is (0.3317, 0.5883).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the zscore that has a pvalue of \(1 - \frac{\alpha}{2}\).

Randomly selects 100 students from the school and asks the President to name each one. The President is able to correctly name 46 of the students.

This means that:

\(n = 100, \pi = \frac{46}{100} = 0.46\)

99% confidence level

So \(\alpha = 0.01\), z is the value of Z that has a pvalue of \(1 - \frac{0.01}{2} = 0.995\), so \(Z = 2.575\).

The lower limit of this interval is:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 - 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.3317\)

The upper limit of this interval is:

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.46 + 2.575\sqrt{\frac{0.46*0.54}{100}} = 0.5883\)

The 99% confidence interval for p in this case is (0.3317, 0.5883).

The appropriate design for the study includes; Treatment used; Chamomile oil treatment

Appropriate Design!” asks about the identity of design.

Method of treatment; Application of the chamomile oil to the cervical region of patients experiencing pain due to pinched nerves

Treatment assignment; Treatment should be assigned to patients with pinched nerves

Variables that should be measured; Reduction or relief of pain as reported by the patients

Part B; The study should be administered equally to both male and female as the Appropriate Design!” asks about the identity of design can be experienced by both male and female

Part C; The design could be double blind by replacing the chamomile administered by placebo, thereby preventing bias from both researcher and participants in the results of the research.

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Answer:

\(\frac{8}{9}\)

Step-by-step explanation:

\(\frac{2}{3} / \frac{3}{4} \\=\frac{2}{3} * \frac{4}{3} \\=\frac{8}{9}\)

Answer:

0.42352941176

Step-by-step explanation:

hope this helps

The value of quotient will be 0.42.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

''4/5 divided by 17/9''

Now,

Since, The expression is,

''4/5 divided by 17/9''

Hence, After solving we get;

⇒ 4/5 ÷ 17/9

⇒ 4/5 × 9/17

⇒ 36/85

⇒ 0.42

Thus, The value of quotient = 0.42

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Answer:

7 15 178

Step-by-step explanation:

Using the substitution method equation form is x is 3 and y is1

Form of Point: (3 , 1 )

Equation Form: x = 3 and y =1

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