Draw the following triangle after a 90° counterclockwise rotation about the origin.

Answer:

257 and 491

Step-by-step explanation:

There are two methods you could use to solve this.

Whether a number is odd or even relies on whether its last digit is odd or even, that is, if its last digit is divisible by 2 or not.

The first method would be to just calculate it and see if the last digit is an even or odd number. This method can be simplified by using the rule that the last digit of the whole number squared is the last digit of its last digit squared. For example, 257, the last digit is 7. 7x7 is 49. 9 is the last digit of 49, therefore the last digit of 257x257 is 9. (257x257=66049). We can use this strategy to work out each number:

257: Last digit is 7, 7x7 = 49, last digit of the square of the whole number will be 9 which is an odd number, therefore 257 squared is an odd number.

324: Last digit is 4, 4x4 = 16, 6 is even, therefore 324 squared is even.

560: Last digit is 0, 0x0 = 0, 0 is even, therefore 560 squared is even.

491: Last digit is 1, 1x1 = 1, 1 is odd, therefore 491 squared is odd.

662: Last digit is 2, 2x2 = 4, 4 is even, therefore 662 squared is even.

The second strategy would be to use the rules of multiplication:

An even number multiplied by an even number = even number

Even number multiplied by odd number = even number

Odd number x odd number always = odd number

257 is an odd number so if it is squared, then it is an odd number x an odd number which according to the rules, always makes an odd number.

You can use this strategy for all of the other numbers too.

Hope this helped!

Answer:

X = 1

Step-by-step explanation:

Answer:

5×x×2× base× high u see me

The purpose of an entity-relationship (ER) diagram is to visually represent the structure and relationships between entities in a database system.

An entity-relationship diagram is a visual representation that uses various symbols and connectors to depict entities, attributes, and the relationships between them. It is commonly used in database design to model and understand the organization and interactions of data within a system.

Here are the key purposes of an ER diagram:

Entity Representation: An ER diagram helps identify and define entities, which are objects or concepts with distinct characteristics. Entities are represented as rectangles in the diagram, and their attributes are depicted within the rectangles.

Relationship Representation: The diagram illustrates the relationships between entities, showcasing how they are connected or associated. Relationships can be one-to-one, one-to-many, or many-to-many, and they are depicted using different connectors and cardinality indicators.

Data Modeling: ER diagrams provide a blueprint for designing databases by visually representing the structure and organization of data. They help database designers determine the appropriate tables, attributes, and relationships needed to store and retrieve information efficiently.

Communication and Documentation: ER diagrams serve as a communication tool between stakeholders, such as developers, designers, and clients. They provide a clear and concise visual representation of the database structure, making it easier for everyone involved to understand and discuss the system requirements.

The primary purpose of an entity-relationship diagram is to visually represent the entities, attributes, and relationships within a database system. It aids in data modeling, communication, and documentation, facilitating effective database design and promoting a common understanding among stakeholders involved in the development process.

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Step-by-step explanation: A term can be a number, a variable, or a number times one or more variables.

So in this expression, the terms are +2n, +5, -3p, and +4q.

This means that there are 4 terms.

The answer is D - 4 :)

Answer:

The midpoint is (0,2)

Step-by-step explanation:

To find the x coordinate, average the x coordinates of the endpoints

(-4+4)/2 = 0/2 =0

To find the y coordinate, average the y coordinates of the endpoints

(6+-2)/2 = 4/2 =2

The midpoint is (0,2)

True. solving quadratic equations by completing the square is a legitimate and commonly used technique in algebra.

This method involves transforming a quadratic equation into a super square form, that could then be effortlessly solved for the variable. The procedure entails including or subtracting a constant term to both sides of the equation to create a perfect rectangular trinomial.

Which may be factored right into a binomial squared. the solution can then be acquired with the aid of taking the square root of both sides and solving for the variable. completing the rectangular is a beneficial method for fixing quadratic equations that can't be factored the usage of other strategies, which includes the quadratic formula.

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Answer:

A is the answer

Step-by-step explanation:

3×5+6=15+6=21

The interior painting cost is calculated according to the cost of the paint and the area that to be painted.

Determine where there are carpets in your house. Increase this by four times. For example, multiply 500 square feet of carpet by four to get 20000 square feet. Find out the current rate per square foot that your painter charges. For instance, depending on the scenario, painters may charge anywhere between Rs 26 and Rs 30 per square foot. Consequently, your expense would be 27 x 2000, or Rs 54,000. This figure is on the high side. After taking measurements, the painter would provide you with a final statement outlining the specific amount of work performed. This is how interior painting cost is calculated.

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Answer:

y < -3x + 4

Step-by-step explanation:

From the graph, we can see that the intercept on the y axis is 4 while the intercept on the x-axis is approximately 1.33 or simply 4/3.

This means, at x = 0, y = 4 and at y = 0, x = 4/3.

Therefore the linear equation is;

y = -3x + 4

However, the shaded area is below the line and so the operation will be with the sign less than(<). Also, we see that the line is broken and this means that the line doesn't include equal to "=" sign.

Thus, the correct inequality is;

y < -3x + 4

Answer:

The answer is D.

Step-by-step explanation:

We'll collect and analyze the data and then build the regression model and evaluate it in order to predict the selling price of a house that is 2,700 square feet using single variable regression model.

The single variable regression model assumes a linear relationship between the independent variable (house size) and the dependent variable (selling price). If the relationship is non-linear, a different regression model may be more appropriate.

Question: Use the single variable regression model with house size as the independent variable to predict the selling price of a house that is 2,700 square feet.

To predict the selling price of a house that is 2,700 square feet using the single variable regression model, we need to follow these steps:

1. Collect data: Obtain a dataset that includes information on house sizes and their corresponding selling prices. This dataset will be used to build the regression model.

2. Analyze the data: Examine the dataset to understand the relationship between house size and selling price. Plot a scatter plot to visualize the data points and determine if there is a linear relationship between the two variables.

3. Build the regression model: Fit a regression line to the data points using a statistical method like least squares regression. This line represents the relationship between house size (independent variable) and selling price (dependent variable).

4. Evaluate the model: Assess the quality of the regression model by calculating the coefficient of determination (R-squared value). This value measures how well the regression line fits the data. A higher R-squared value indicates a better fit.

5. Predict the selling price: Now that we have a regression model, we can use it to predict the selling price of a house with a given size. In this case, we want to predict the selling price of a house that is 2,700 square feet.

To predict the selling price of a house that is 2,700 square feet, we substitute the house size value (2,700) into the regression equation. The equation will give us the predicted selling price for a house of that size.

It's important to note that the accuracy of the prediction depends on the quality of the regression model. A higher R-squared value suggests a better prediction accuracy.

Remember, the single variable regression model assumes a linear relationship between the independent variable (house size) and the dependent variable (selling price). If the relationship is non-linear, a different regression model may be more appropriate.

Keep in mind that additional factors such as location, condition, and amenities can also influence the selling price of a house. Therefore, it's advisable to consider these factors in conjunction with the single variable regression model to make more accurate predictions.

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Answer:

2 < x < 5

Step-by-step explanation:

In a triangle a side must be major than the difference of the other two and minor of the sum of the other two

7-5 = 2

7+5 = 12

in the figure we can see that x is the smallest side

Therefore, As a result, the answer to the given equation problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.

Define equation .

A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. Word illustration The product of 8 and 3 is 11.

Here,

The formula is: 1/j +1/j+ 21 = 11/ 4.

LCM = j+21+j / j(j+21)=1/14

Thus, 2j+21 / j(j+21) = 1/14 is obtained.

14(2j+21) times itself yields j(j+21).

28j+294 expanded to j²+21j

Gather comparable terms

j²+21j-28j-294=0

j²- 7j-294=0

With the use of a graphing calculator, we have:

j = 21 or j= -14

Due to the context,

j's value cannot be negative.

As a result, the answer to the given equation's problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.

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Answer: x = 7, y = -3

Step-by-step explanation:

2x - y = 17

x - y = 10 —> x = y + 10

2(y + 10) - y = 17

2y + 20 - y = 17

y + 20 = 17

-20 -20

y = -3

x = y + 10

x = (-3) + 10

x = 7

Step-by-step explanation:

We know that, triangle area is L = 1/2bh

L = 1/2(76)(45)

L = (38)(45)

L = 1710 cm²

Subject : Mathematics

Level : ES

Chapter : 2D Geometry

Answer: 15%

Step-by-step explanation:  

I hope this helps,

have an wonderful Day!

The tax rate Tasha will pay on her investment income is 15%.

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Ordinary taxable income= $90,000

Capital gains= $12,000

Now,

The tax rate Tasha will pay on her investment income depends on her ordinary taxable income and the tax brackets for qualified dividends and long-term capital gains. Since Tasha’s ordinary taxable income is $90,000, she falls in the 15% tax bracket for her investment income.

Therefore, by the percentage the answer will be 15%.

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If we increase $2b by 50%, we will get a larger value than if we increase $b by 250%.

Comparing $b increased by 250% and $2b increased by 50%:

250% of a number can be obtained by multiplying the number by 2.5.

Therefore, if $b is increased by 250%, it will become $2.5b.

50% of a number can be obtained by multiplying the number by 0.5.

Therefore, if $2b is increased by 50%, it will become $3b.

To compare $b increased by 250% and $2b increased by 50%, we need to find which is larger between $2.5b and $3b.

Let’s assume that $b is $10. If we increase it by 250%, it will become $2.5b, which is $25.

Now let’s find out what $2b increased by 50% equals to.

$2b equals $20, so increasing it by 50% will be:

$20 x 0.5 = $10.

Therefore, $2b increased by 50% equals to $30.

We see that $2.5b is smaller than $3b, which means $2b increased by 50% is larger than $b increased by 250%.

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The scale of the drawing is 1 cm for every 1.25.

Given,
The school asks to determine the number on the scale of the drawing if the map length of the actual 20m boundary measures 16cm on the drawing.

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
The scale of the drawing if the map length of the actual 20m boundary measures 16cm, implies.
ratio = 16 / 20 = 1 / 1.25
So for every 1.25 m actual boundary, there is 1 cm on the map.

Thus, the scale of the drawing is 1 cm for every 1.25.

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This is an example of stratified random sampling as the population is divided into two groups males and females and 200 samples are selected from each group.

Given that,

A researcher asks all 1000 employees to engage in a questionnaire survey to look at various areas of employee job satisfaction with the goal of selecting a sample of 200 males and 200 women.

A crucial element of the sampling method known as stratified random sampling is the division of a population into smaller subgroups known as strata

Therefore, the population is separated into two categories, males and females, and 200 samples are chosen from each group in this stratified random sampling example.

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Answer:

For the tax to be $13154.00, the income has to be around $84991.67 (around because taxes are rounded).

Step-by-step explanation:

Because the tax is over $12962, but under $31322, the income must be between $84200 and $160700.

The tax on the first $84200 is $12962, and the surplus (we'll call it x) is taxed at 24%.

24%*x = $13154 - $12962 = $190

x = $190/(24%) = $791.(6)

So the total income is something close to $84200+$791.(6) = $84991.(6)

Answer:  

Step-by-step explanation:

The income must be between $84200 and $160700 because the tax is over $12962 but under $31322.

The first $84200 is taxed at a rate of $12962, and the surplus (we'll call it x) is taxed at a rate of 24 percent.

*x = $13154 - $12962 = $190 (24%)

$190 divided by (24% ) equals $791. (6)

As a result, the total income is around $84200+$791.

(6) = $84991; (7) = $84991; (8) = $84991;

its 6

The length of the segment BE is 2 units.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.

Given:

Quadrilateral ABCD is a rectangle.

BE=3x−7 and AC=8x−20.

E is the intersection point of the diagonals.

So,

AC/2 = BE

(8x−20)/2 = 3x−7

4x - 10 = 3x - 7

x = 3

So, BE = 2

Therefore, BE = 2 units.

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Answer:

6

Step-by-step explanation:

I believe if you fallow the mathematical process of d=m/v you will get 6

The height of the block of the sugar maple from the rectangular prism is 6 cm.

The volume of a rectangular prism signifies the rectangular area enclosed by the prism. The equation used in calculating the formula for a rectangular prism can be expressed as:

V = length × width × height

From the parameters given:

\(\mathbf{Desity = \dfrac{mass}{volume}}\)

\(\mathbf{volume = \dfrac{82.8 g }{0.69 \ g/cm^3}}\)

volume = 120 cm³

Using the previous equation for calculating the volume of a rectangular prism, we have:

120 cm³ = 5 cm × 4 cm × height

120 cm³ = 20 cm² × height

height = 120 cm³/20 cm²

height = 6 cm

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Wherever the functions are specified, if f is the inverse of g and/or g is the inverse of f, then f(g(x)) = x and g(f(x)).

Therefore,

Given that f(x) and g(x) are inverse functions in this problem, finding the graph of f(g(x)) is our goal.

As a result of the relationship mentioned above, we can conclude that:

f(g(x)) = x

The below is straightforward, as you can see.

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Answer:

ASA

Step-by-step explanation:

Just answered this question

Answer:

2 hours and 5 minutes or 125 minutes

Step-by-step explanation:

25minutes per class

5 classes

25 * 5 = 125 minutes = 2 hours and 5 minutes