What is the image of the point (2,3) after a rotation of 180° counterclockwise

Answer:

56 feet

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The coordinates of the image of the quadrilateral by translation are A'(x, y) = (- 4, - 7), B'(x, y) = (- 5, - 2), C'(x, y) = (- 2, - 3) and D'(x, y) = (- 1, - 6).

In this question we need to determine the image of a quadrilateral by a kind of rigid transformation known as translation, whose definition is introduced below:

P'(x, y) = P(x, y) + T(x, y)

Where:

First, we determine the coordinates of the vertices of the image of the quadrilateral:

A'(x, y) = (- 2, - 3) + (- 2, - 4)

A'(x, y) = (- 4, - 7)

B'(x, y) = (- 3, 2) + (- 2, - 4)

B'(x, y) = (- 5, - 2)

C'(x, y) = (0, 1) + (- 2, - 4)

C'(x, y) = (- 2, - 3)

D'(x, y) = (1, - 2) + (- 2, - 4)

D'(x, y) = (- 1, - 6)

Second, graph the resulting quadrilateral.

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Answer:

The last one, \(\frac{2}{5}\)

Step-by-step explanation:

This can be written as a ratio, 2:5.

Ratios can be rewritten as fractions.

\(\frac{2}{5}\)

The two-digit positive integers that tens and ones digits are consecutive numbers include 12, 23, 34, 45, 56, 67, 78, and 89.

It should be noted that integers are the whole numbers that can be either positive, negative, or zero.

The two-digit positive integers that the integer is the product of two consecutive numbers will be:

3 × 4 = 12

7 × 8 = 56

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The two-digit positive integers that tens and one digits are consecutive numbers include 12, 23, 34, 45, 56, 67, 78, and 89.

We have given that,

1. The tens and one's digits are consecutive numbers, and

2. The integer is the product of two consecutive numbers.

It should be noted that integers are the whole numbers that can be either positive, negative, or zero.

The two-digit positive integers that the integer is the product of two consecutive numbers will be:

3 × 4 = 12

7 × 8 = 56

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The coordinate of the y-intercept of the given quadratic graph is: (0, -3)

The general form of the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

The general form of quadratic equations is expressed as:

y = ax² + bx + c

Now, from the term y-intercept, we know that it is the point where the graph crosses the y-axis and as such, we have the coordinate from the graph as:

(0, -3)

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The two options that could result from combining two linear functions with addition are "16x – 12" and "17x – 12". The r to your question is:

To combine two linear functions with addition, you simply add the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with addition, you add the coefficients of x and the constant terms. So, 3x + 4 + 2x - 5 becomes (3 + 2)x + (4 - 5) = 5x - 1.

To combine two linear functions with multiplication, you multiply the coefficients of the same variables. For example, if you have the functions 3x + 4 and 2x - 5, when you combine them with multiplication, you multiply the coefficients of x and the constant terms. So, (3x + 4)(2x - 5) becomes

(3 * 2)x^2 + (3 * -5)x + (4 * 2x) + (4 * -5)

= 6x^2 - 15x + 8x - 20

= 6x^2 - 7x - 20.

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Answer:

33.35% maybe

Step-by-step explanation:

Answer:

approximately 42.11% increase

Step-by-step explanation:

% increase = Increase ÷ Original Number × 100

%increase = 200 ÷ 475 × 100 =42.11%

Answer: Pretty much correct except one thing is wrong.

Step-by-step explanation:

In place of CB you should write AB because the sides doesn't match when you flip the triangle CED.

Hope it helps!

The Speed of the train in Miles per hour will be 105 miles per hour.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

A train travels at a constant speed during a portion of its cross-country route the table shows the distance the train traveled over different intervals of time at this speed.

The slope represents the speed of the train. Then we have

m = (157.5 - 131.25) / (1.50 - 1.25)

m = 26.25 / 0.25

m = 105 miles per hour

The Speed of the train in Miles per hour will be 105 miles per hour.

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The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

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Answer:

3(x + 2) = 3x + 6

Step-by-step explanation:

3(x + 2) = 3x + 6

Distribute --> 3x + 6 = 3x + 6

The pair which shows equivalent expressions are 3(x + 2) = 3x + 6.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given are four equations.

A) 3(x + 2) = 3x + 6

This is equivalent, since,

3(x + 2) = 3x + (3 × 2) = 3x + 6

B) 3x + 2x= x² (3 + 2)

This is incorrect since, 3x + 2x = x(3 + 2)

C) 3x + 2 = 3(x + 2)

This is also not equivalent since we cannot take 3 outside since it is not common.

D) -3(2 + x) = -6x - 3

This is also not true since,

-3(2 + x) = (-3 × 2) + (-3x) = -6 - 3x.

Hence the equivalent expression is 3(x + 2) = 3x + 6.

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When a postal worker counts the number of complaint letters received by the united states postal service in a given day, the type of data collected is quantitative.

Quantitative data is data that can be measured and expressed in numbers. In this case, the number of complaint letters received by the United States Postal Service in a given day can be measured and expressed as a number.

Qualitative data, on the other hand, is data that cannot be measured or expressed in numbers. For example, the contents of the complaint letters would be qualitative data.

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There are several different sampling methods that could be employed for this study, including:

Simple random sampling: This method involves randomly selecting a certain number of students from each campus and measuring the distance between their hometowns and their campuses.

Stratified random sampling: This method involves dividing the student population at each campus into different strata (e.g. by major or year in school) and then randomly selecting a certain number of students from each stratum.

Cluster sampling: This method involves randomly selecting a certain number of campuses and then measuring the distance between the hometowns of all students at those campuses and their respective campuses.

Multi-stage sampling: This method involves using a combination of the above methods, such as first using cluster sampling to select a certain number of campuses and then using stratified random sampling to select a certain number of students from each campus.

This study would be an enumerative study because it seeks to measure the characteristics of a population, in this case, the average distance between the hometowns of students and their campuses, by counting and measuring them.

It is not an analytic study because it doesn't involve testing a hypothesis or making causal inferences.

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The global min and max of the function f(x, y) = 3y - 2x², on the region bounded is global maximum value is 1,

Given the function f(x, y) = 3y - 2x².

The region is bounded by the line y=x and the parabola y = x² + x - 1.

Therefore, the extreme values of the function f(x, y) = 3y - 2x² are either on the boundary of the region or at critical points inside the region. Let's start by finding the boundary points for this problem.

Boundary Points: We know that the region is bounded by y = x²+x-1 and y = x. Setting the two equations equal to each other to find their intersection points, we have:x² + x - 1 = x.

Rearranging the equation, we get:x² - 1 = 0. Solving for x, we have:x = ±1.Now, plugging these values into y = x, we get two boundary points, which are: (1, 1) and (-1, -1).

Let's evaluate f(x, y) = 3y - 2x² at these two points to find the maximum and minimum values:

At (1, 1):f(1, 1) = 3(1) - 2(1)² = 1.At (-1, -1):f(-1, -1) = 3(-1) - 2(-1)² = -1.

Therefore, the global maximum value is 1, which occurs at (1, 1), and the global minimum value is -1, which occurs at (-1, -1).

Hence, the global min and max of the function f(x, y) = 3y - 2x², on the region bounded by y = x²+x-1 and the line y=x is global maximum value is 1, which occurs at (1, 1), and the global minimum value is -1, which occurs at (-1, -1).

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The measure of ∠V of the parallelogram is = 150.5°

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the measure of the angle ∠Y = 10x + 27

Let the measure of the angle ∠W = 2x + 29

Now , for a parallelogram the opposite sides are congruent and opposite angles are congruent

Substituting the values in the equation , we get

10x + 27 = 2x + 29

Subtracting 2x on both sides of the equation , we get

8x + 27 = 29

Subtracting 27 on both sides of the equation , we get

8x = 2

Divide by 8 on both sides of the equation , we get

x = 1/4

Let the measure of the angle ∠Y = 10 ( 1/4 ) + 27

Let the measure of the angle ∠Y = 2.5 + 27

Let the measure of the angle ∠Y = 29.5°

Now , same-side interior angles (consecutive angles) are supplementary

Substituting the values in the equation , we get

angle ∠Y + angle ∠V = 180°

29.5° + m∠V = 180°

Subtracting 29.5 on both sides of the equation , we get

m∠V = 150.5°

Hence , the measure of m∠V = 150.5°

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The equation for C, in terms of t, representing the number of chocolates remaining in the box t days after Violet's birthday is C = 24 - 4t

Number of chocolate violet eats each night = 4

Number of chocolate originally in the box = 24

Number of chocolate remaining = C

Number of days after violet birthday = t

Number of chocolate remaining = Number of chocolate originally in the box - (Number of chocolate violet eats each night × Number of days after violet birthday)

C = 24 - (4 × t)

C = 24 - 4t

In conclusion, the equation which represents violet's remaining chocolate after her birthday is C = 24 - 4t

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Answer:

frequency, relative frequency(noun) the ratio of the number of observations in a statistical category to the total number of observations. Synonyms: frequency, oftenness, absolute frequency, frequence.Step-by-step explanation:

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Answer: frequency; ratio.

Step-by-step explanation:

The number of 3/4 cup servings of granola that can be measured from a box containing six cups is 8 servings.

To determine the number of 3/4 cup servings in the box of granola, we need to divide the total amount of granola (six cups) by the size of each serving (3/4 cup).

Since each serving is equivalent to 3/4 cup, we can set up the division as follows:

6 cups ÷ (3/4 cup) = 6 cups × (4/3) = 24/3 cups = 8 cups

Therefore, there are 8 servings of 3/4 cup in a box containing six cups of granola. This means that if you measure out 3/4 cup portions, you will be able to have 8 servings in total from the given box.

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The given function is

First, we make x = 0.

Second, we make g(x) = 0.

Third, we graph the points (0, 4) and (-16, 0).

At last, we draw the line through the points to get the line.

Answer:

1/3

Step-by-step explanation:

-1/3 divided by 3/5 = -5/9

-2/9 - -5/9 = 1/3

Answer:

-1/45

Step-by-step explanation:

Rewrite this as:

-2/9 - (-1/5), or -2/9 + 1/5

Here the LCD is (9)(5) = 45.  Rewriting the above expression, we get:

-10/45 + 9/45 = -1/45

Answer: You are correct. The mode is between 90 and 100

This is because the tallest bar corresponds to this interval. The mode is the most frequent value.

Step-by-step explanation:

i am not sure but i hope this can help you

The volume of the cylinder is  3,421.20 cubic feet and the volume of the cone is 728.58 cubic feet.

The volume of the cylinder can be calculated using the formula π r² h, and the radius refers to the diameter/2.

Diameter = 11 / 2 = 5.5 radius

Volume = π 5.5² 36

Volume= π 30.25 36

Volume= π 900

Volume= 3,421.20 cubic feet

The volume of the cone can be calculated using the formula V=1/3hπr².

Volume = 1/3 h π r²

Volume = 1/3  23 π 5.5²

Volume = 1/3  23 3.1416 30.25

Volume=  728.58 cubic feet

Total volume= 3,421.20 cubic feet +  728.58 cubic feet = 4149.78 cubic feet.

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To find the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days, we use the simple interest formula as follows:

Simple Interest = (P × R × T)/100Where:P = Principal or amount borrowedR = Rate of interest per annumT = Time in years or fraction of a year110 days ÷ 360 days = 0.3056 (time as a fraction of a year)The rate of interest, 10(1/3)% is equal to 10 + (1/3) percent = 10.33% per annum in decimal form = 0.1033Substituting the values we have into the formula,Simple Interest = (P × R × T)/100= (3,290 × 0.1033 × 0.3056)/100= $100.68 (rounded to the nearest cent)

Therefore, the interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68.

A credit union loan is a type of personal loan that can be used for a variety of purposes. One of the most common reasons people take out credit union loans is to purchase big-ticket items like a new computer system. When you take out a loan, you must pay back the amount borrowed plus the interest charged by the lender. The interest rate is usually expressed as a percentage of the amount borrowed and is charged for a specific period of time known as the loan term. Simple interest is a method of calculating interest that is charged only on the principal amount borrowed.

It does not take into account the interest that has already been paid. Simple interest is calculated by multiplying the principal amount borrowed by the interest rate and the length of the loan term. The answer is more than 100 words.The interest of Chris Owens’ credit union loan of $3,290 at 10(1/3)% interest for 110 days is $100.68. Therefore, he would pay $3,290 + $100.68 = $3,390.68 in total to the credit union over the loan term. It is important to note that when rounding dollar amounts to the nearest cent, amounts that end in .50 or higher are rounded up to the next highest cent, while amounts that end in .49 or lower are rounded down to the next lowest cent. In this case, $100.6847 would be rounded up to $100.68. In conclusion, the interest charged on a loan can significantly increase the total amount that must be repaid, making it important for borrowers to understand how interest is calculated and the terms of their loan.

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Answer:

  \(\textbf{A. }4\sqrt{6}\)

Step-by-step explanation:

The hypotenuse of the isosceles right triangle is √2 times the length of one leg, so is 6√2.

The hypotenuse of the 30°-60°-90° right triangle is 2/√3 times the length of the longer leg.

  \(x=\dfrac{2}{\sqrt{3}}\cdot 6\sqrt{2}\\\\=\dfrac{(2\sqrt{3})(6\sqrt{2})}{3}\quad\text{rationalize the denominator}\\\\\boxed{x=4\sqrt{6}}\)

A spherical astroid has a radius of approximately 8.5 x 10^2 m. Using  the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

a spherical astroid has a radius of approximately 8.5 x 10^2 m.

we know,

the volume =  4/3 π r^3

so, by calculating, we get.

volume = 2.57 x 10^9 m^3

Hence, a spherical astroid has a radius of approximately 8.5 x 10^2 m. Using  the formula 4/3 π r^3 to find the approximate volume of the asteroid, we get volume = 2.57 x 10^9 m^3.

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Answer:

Step-by-step explanation:

To determine how many roots the function f(x) = x² - 4x - 5 has in common with another function, we need the equation of the other function. Without that information, we cannot determine the number of common roots. Please provide the equation of the other function, and I will be able to assist you further.

Hope this answer your question

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