1. a. Factorize (m + n) (2x - y) − x(m+n)

Answer:

bro all equilateral triangle are equal

Step-by-step explanation:

In geometry, an equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees.

Answer:

1. True

2. False

3. False

4. True

Sep-by-step explanation:

Similarity:

 Two polygons of the same number of sides are similar if

  (i) their corresponding angles are equal and

(ii) their corresponding sides are in the same ratio.

  AAA similarity ,  SAS similarity , SSS similarity

1. True.

  Two polygons of the same number of sides are similar if their corresponding angles are equal. AAA similarity.

In an equilateral triangle each angle is 60°. So, all equilateral triangles are similar.

2. False.

 In each isosceles triangle, the  measurement of angles differs and so the shape wont be same.

3. False.

  In each right angle triangles, the other two angles differs and so, all right triangles will not have the same shape.

4. True.

   All circles have same shape and the only the size of the circle vary. So, all circles are similar.

Answer:

x = \(\frac{7}{2}\)

Step-by-step explanation:

Given

2x + 5 = 12 ( subtract 5 from both sides )

2x = 7 ( divide both sides by 2 )

x = \(\frac{7}{2}\) [ or x = 3.5 ]

The correct statement about the correlation coefficient (r) that is TRUE is: c.) The correlation coefficient is always between -1 and +1.

The statement that is true about the correlation coefficient (t) is that it is always between -1 and +1.

The correlation coefficient is a statistical measure that quantifies the strength and direction of the linear relationship between two variables.

The range of the correlation coefficient is from -1 to +1, where -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation at all.

However,

Using a statistical software is more convenient and efficient, especially when dealing with large datasets.
The statement that a correlation coefficient of r = 0.75 shows a strong positive relationship between two variables is partially true.

A correlation coefficient of 0.75 indicates a moderate to strong positive correlation, but the strength of the correlation also depends on the context and the field of study. In some fields, a correlation coefficient of 0.75 may be considered weak, while in others, it may be considered strong.
Finally,

The statement that the stronger the strength of association, the lower the value of the correlation coefficient is false.

In fact, the stronger the association between two variables, the higher the value of the correlation coefficient.

This is because the correlation coefficient measures the degree to which the two variables move together, whether positively or negatively.

Therefore,

If two variables have a strong positive correlation, the correlation coefficient will be closer to +1, indicating a strong relationship.

Conversely, if two variables have a strong negative correlation, the correlation coefficient will be closer to -1, indicating a strong relationship.

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Answer:

h

Step-by-step explanation:

When coding a SELECT statement in SQL, it is crucial to follow a specific order for the four main clauses to ensure accurate and efficient retrieval of data. The correct order to code the clauses is c. SELECT, FROM, WHERE, ORDER BY.

Firstly, the SELECT clause specifies the columns that you want to retrieve data from. This clause is always coded at the beginning of the statement. Next, the FROM clause identifies the table or tables from which you want to retrieve data. It is important to note that the tables in the FROM clause must be listed before the WHERE clause.
The WHERE clause is used to filter the data based on certain criteria or conditions. This clause is typically coded after the FROM clause. Lastly, the ORDER BY clause sorts the retrieved data in ascending or descending order based on a specified column. This clause is always coded at the end of the statement.
Therefore, the correct order for coding the four main clauses in a SELECT statement is SELECT, FROM, WHERE, and ORDER BY. By following this order, you can ensure that your query runs smoothly and returns the correct results.

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To sketch the curve with polar equation θ = −π/6, we need to plot all the points (r, θ) that satisfy the equation for various values of r. Since θ is fixed at −π/6, all the points will lie on a line at an angle of −π/6 to the positive x-axis.

The value of r can be positive or negative, so we will plot points both above and below the x-axis.

Since r can be any value, we will just choose a few values for illustration purposes. Let's choose r = 1, 2, −1, and −2. Then the corresponding points are:

(1, −π/6), (2, −π/6), (−1, −π/6), and (−2, −π/6)

We can plot these points on a polar coordinate system as follows:

These points lie on a line at an angle of −π/6 to the positive x-axis, as expected. Note that the sign of r determines whether the point lies above or below the x-axis.

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Interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

Higher Placement The College Board's Advanced Placement Program makes a college-level course and exam in United States Government and Politics available to high school students.

By organizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues, interest groups enable citizen participation in governance.

a group of individuals united by a shared interest or objective and working to sway public policy. group leaders. As adolescents gain knowledge, they frequently form their own groups. government.

Therefore, interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.

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Answer: 10 wreaths

Step-by-step explanation:

First identify the terms.

She has a booth that cost $200. This price will not change thus making it a Fixed cost.

Making a wreath would cost her $10 each time so this is a Variable cost.

She sells the wreath for $30 so this is the selling price.

Breakeven = Fixed Cost / Contribution margin

Contribution margin = Selling price - Variable cost

= 30 - 10

= $20

Breakeven point = 200/20

= 10 wreaths

A.  The value of the double integral ∫₁² ∫₁⁴ (y^2x - y₁) dy dx is -(31/3).

B.  The value of the double integral ∫₃⁴ ∫₁⁵ y/(xlny) dx dy is 4ln(4ln5) - 3ln(3ln5).

C.  The value of the double integral ∫₀¹ ∫₀π/₆ xycos(3x) dx dy is 0.

Let's evaluate each of the given double integrals step by step:

(a) ∫₁² ∫₁⁴ (y^2x - y₁) dy dx

To solve this integral, we will integrate with respect to y first and then with respect to x.

∫₁⁴ (y^2x - y₁) dy = [((1/3)y^3x - y₁y)] from 1 to 4

= [(4/3)(4^3x - 1x) - (1/3)(1^3x - 1x)]

= [(64/3)x - 7x - (1/3)x + 1x]

= [(62/3)x]

Now we can integrate the result with respect to x.

∫₁² [(62/3)x] dx = (31/3) [x^2] from 2 to 1

= (31/3)(1^2 - 2^2)

= -(31/3)

Therefore, the value of the double integral ∫₁² ∫₁⁴ (y^2x - y₁) dy dx is -(31/3).

(b) ∫₃⁴ ∫₁⁵ y/(xlny) dx dy

Let's switch the order of integration for easier computation.

∫₁⁵ ∫₃⁴ y/(xlny) dx dy = ∫₃⁴ ∫₁⁵ y/(xlny) dy dx

Now, integrating with respect to x:

∫₁⁵ y/(xlny) dy = [yln(xlny)] from 3 to 4

= [4ln(4ln5) - 3ln(3ln5)]

Finally, integrating the result with respect to y:

∫₃⁴ [4ln(4ln5) - 3ln(3ln5)] dx = (4ln(4ln5) - 3ln(3ln5)) [x] from 3 to 4

= (4ln(4ln5) - 3ln(3ln5))(4 - 3)

= 4ln(4ln5) - 3ln(3ln5)

Therefore, the value of the double integral ∫₃⁴ ∫₁⁵ y/(xlny) dx dy is 4ln(4ln5) - 3ln(3ln5).

(c) ∫₀¹ ∫₀π/₆ xycos(3x) dx dy

Integrating with respect to x:

∫₀π/₆ xycos(3x) dx = [(1/3)ycos(3x)sin(3x)] from 0 to π/₆

= (1/3)y[cos(π/₂)sin(π/₂) - cos(0)sin(0)]

= (1/3)y(0 - 0)

= 0

Now, integrating the result with respect to y:

∫₀¹ 0 dy = 0 [y] from 0 to 1

= 0

Therefore, the value of the double integral ∫₀¹ ∫₀π/₆ xycos(3x) dx dy is 0.

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A confidence interval typically estimates a population parameter, such as a mean or proportion, rather than providing the actual value of the parameter.

A confidence interval provides a range of values within which the true population parameter is likely to fall. The confidence interval (4.2, 8.3) suggests that we have estimated a population parameter related to the heights of the students. However, without specifying the type of parameter (mean, proportion, etc.), it is not possible to determine the sample proportion from the given information.

To calculate a sample proportion, we would need to know the number of students in the sample and the number of students within a specific category (e.g., height range). With this additional information, we could calculate the proportion by dividing the number of students in the specified category by the total number of students in the sample.

In conclusion, the given confidence interval does not provide sufficient information to determine the sample proportion.

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The two triangles are similar by the Angle- Angle and also SIde -Side postulates.

A postulate is defined as a statement that is assumed to be true without any proof.

A theorem is defined as a true statement and is supported by a proof (or can be proven).

Here, two triangles can be said to be similar through many postulates :

1. △ABC and △DEF are similar if

angle ABC is equal to angle DEF; and

angle BCA is equal to angle EFD

(or any other two corresponding angles are same)

This can be said that △ABC and △DEF are similar with Angle- Angle (AA) postulate.

2.  △ABC and △DEF are similar if

side AB/ BC is proportional to side DE/ EF;

(or ratio of two corresponding sides are similar)

This can be said that △ABC and △DEF are similar with Side Side (SS) postulate.

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Answer:

(5, 3)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = x - 2

-2x + 3y = -1

Step 2: Solve for x

Step 3: Solve for y

Answer:

Grade 7 -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Grade 8 -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Total -

Fiction: 33%

Non-Fiction: 17%

Total: 50%

Conclusions: Everything had the same answer, 33%, 17% , and 50%.

Answer:

x = -2

Step-by-step explanation:

Step 1: Substitute h(x) for -9

-9 = 4x - 1

Step 2: Solve for x

-8 = 4x

x = -2

Answer:

x = -2.

Step-by-step explanation:

h(x) = 4x - 1, h(x) = -9.

-9 = 4x - 1

4x - 1 = -9

4x = -8

x = -2

Check your work!

4 * (-2) - 1

= -8 - 1

= -9

Since it works out, x = -2.

Hope this helps!

The probability of a birth occurring before 245 days, which is the probability of a newborn baby being premature.

To do this, we need to calculate the area under the normal distribution curve that represents the probability of a birth occurring before 245 days.

We can use a standard normal distribution table or an appropriate applet to find this probability. Using the applet, we can enter the mean, standard deviation, and the value of 245 days to find the probability.

In mathematical terms, we can write this as:

P(birth before 245 days) = probability of a randomly selected newborn baby being premature

= P(X < 245), where X is the random variable representing pregnancy length

Using the normal distribution table or applet, we can find P(X < 245) by calculating the area under the normal distribution curve to the left of 245 days.

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Answer: 1

Step-by-step explanation:

\(\lim_{x \to -6} f(x) \neq -1\) because the left and right hand limits are not the same.

\(\lim_{x \to -1} f(x) \neq -1\) because the left and right hand limits are not the same.

However, somewhere between 1 and 2, the limit does equal -1 because the left and right hand limits are the same.

Answer:

2 x 6 = 12

55 x 6 = 330

The car will travel 330 miles when it is traveling in 12 hours

Step-by-step explanation:

plz mark brainliest

The required area of the parallelogram and pentagon is 91 unit² and 75 unit².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram  = 13 × 7 = 91 unit²

Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
                                 = 5 [1/2 × 5 × 6]

                                 = 75 suqare units.

Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².

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Answer:

true

Step-by-step explanation:

because there's less humidity

The number of regions created when constructing a Venn diagram with three overlapping sets is 8.

In a Venn diagram, each set is represented by a circle, and the overlapping regions represent the elements that belong to multiple sets.

When three sets overlap, there are different combinations of elements that can be present in each region.

For three sets, the number of regions can be calculated using the formula:

Number of Regions = 2^(Number of Sets)

In this case, since we have three sets, the formula becomes:

Number of Regions = 2^3 = 8

So, when constructing a Venn diagram with three overlapping sets, there will be a total of 8 regions formed.

Each region represents a unique combination of elements belonging to different sets.

These regions help visualize the relationships and intersections between the sets, providing a graphical representation of set theory concepts and aiding in analyzing data that falls into multiple categories.

Therefore, the correct answer is 8.

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Answer:

x=1

Step-by-step explanation:

it is

Answer:

the answer is 69

Step-by-step explanation:

the step by step explanation is that 2+2+4

pemdas

perenthasy

exponents

multiplication

division

adition

subtraction

The correct location on the table is:

An equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for \(a=\frac{\Delta y}{\Delta x}\) .

b= the constant term that represents the y-intercept.

For the given example: a=7 and b=2.

For solving  linear equations, you should organize variables on one side of the equation and the numbers on the other side. When a number or variables change side, its signal also is changed.

       x= 9*3

       x=27

      Therefore, x≠3

       x=-9+6

       x= -3

      Therefore, x≠3

       x= 5 -2

       x= 3

      Therefore, x=3

       x= 12/5 + 3/5

       x= 15/5

      x=3

      Therefore, x=3

       14x=42

       x=3

      Therefore, x=3

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The present value of payments at the end of each quarter of $245 for ten years with an interest rate of 4.35% compounded monthly is approximately $25,833.42.

To find the present value of the payments, we can use the present value formula for an ordinary annuity. The formula for the present value of an ordinary annuity is:
PV = PMT * ((1 - (1 + r)^(-n)) / r)

Where:
PV = Present Value
PMT = Payment amount
r = Interest rate per period
n = Number of periods

In this case, the payment amount is $245, the interest rate is 4.35% compounded monthly, and the number of periods is 10 years or 40 quarters (since there are 4 quarters in a year).

Let's plug in the values into the formula:
PV = $245 * ((1 - (1 + 0.0435/12)^(-40)) / (0.0435/12))

First, let's simplify the exponent part:
(1 + 0.0435/12)^(-40) ≈ 0.617349

Now, let's plug in the values and calculate:
PV = $245 * ((1 - 0.617349) / (0.0435/12))
PV = $245 * (0.382651 / 0.003625)
PV = $245 * 105.4486339
PV ≈ $25,833.42

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a. There are 10 kg salt in the tank after t minutes

b.  After 30 minutes, the amount of salt in the tank is still 10 kg.

a) After t minutes, the amount of salt in the tank can be found by the formula:

Amount of salt = initial amount of salt + (rate of salt in - rate of salt out) x time

The initial amount of salt is 10 kg, and the rate of salt in is 0.01 kg/L x 15 L/min = 0.15 kg/min. The rate of salt out is also 0.01 kg/L x 15 L/min = 0.15 kg/min, because the solution is kept thoroughly mixed. Therefore, the amount of salt in the tank after t minutes is:

Amount of salt = 10 + (0.15 - 0.15) x t = 10 kg

b) After 30 minutes, the amount of salt in the tank is still 10 kg. This is because the rate of salt in and the rate of salt out are equal, and so the amount of salt in the tank remains constant. Therefore, the answer is the same as part (a), which is 10 kg

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Each day's weight can then be plotted as a point on the graph, and a line can be drawn connecting the points to show the trend in the squirrel's weight over time.

What is Graph ?

Graph can be defined as visual representation of data using given ordered pairs.

For tracking the weight of a baby squirrel over a month, a line graph would be the best option.

A line graph is used to display data that changes continuously over time, making it ideal for showing the daily weight of the squirrel over the course of a month.

The horizontal axis can represent the time (in days), and the vertical axis can represent the weight of the squirrel.

Therefore, Each day's weight can then be plotted as a point on the graph, and a line can be drawn connecting the points to show the trend in the squirrel's weight over time.

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Answer: Horizontal Shrink

Step-by-step explanation: