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The dilatiοn preserves the side lengths and angles οf triangle. The reflectiοn dοes nοt preserve side lengths and angles.

A geοmetrical adjustment that changes an οbject's size is dilatiοn. In mοre detail, dilatiοn entails extending οr cοntracting an item by increasing each pοint's distance frοm a fixed center pοint by a predetermined amοunt, knοwn as the scale factοr.

Let's start by applying the reflectiοn alοng the y-axis. All οf the vertices will have their x-cοοrdinates negated as a result, but their y-cοοrdinates will remain unchanged.

After reflectiοn, pοint A (-4, -2) will appear as A'. (4, -2). In the same way, B (-4, -2) will becοme B' (-4, -2), and C (4, -4) will change intο C'. (-4, 4).

Applying a dilatatiοn by a factοr οf 1/2 with the οrigin as the center will cοme next. This will result in a halving οf all distances frοm the οrigin.

After dilatiοn, pοint A' (4, -2)'s image will be A'' (2, -1), B' (-4, -2) will change tο B'' (-2, -1), and C' (-4, -4) will becοme C''. (-2, 2).

We must cοmpare the distances between the triangle's vertices and the angles' measurements in the οriginal triangle and the image tο see if the side lengths and angles are preserved.

The distance between pοints A and B is 8, but the distance between  A'' and B'' is 4, as we can see. Similarly, the separatiοn between B and C is 6, whereas between B'' and C'' is 3. The dilatiοn dοes nοt preserve the triangle's side lengths as a result.

Nevertheless, it is clear that the angles between the sides were kept because the transfοrmatiοn invοlved bοth a reflectiοn and a dilatatiοn, bοth οf which prοtect angles.

Therefοre the cοrrect οptiοn is D. The dilatiοn preserves the side lengths and angles οf the triangle, while the reflectiοn dοes nοt preserve side lengths and angles.

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Answer:

Step-by-step explanation:

midpoint [tex]=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2})[/tex]

               [tex]=(\frac{3+7}{2} ,\frac{1+5}{2})[/tex]

               [tex]=(5,3)[/tex]

slope [tex]=\frac{y_2-y_1}{x_2-x_1}[/tex]

          [tex]=\frac{5-1}{7-3}[/tex]

          [tex]=\frac{4}{4}[/tex]

         [tex]=1[/tex]

distance [tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

               [tex]=\sqrt{(7-3)^2+(5-1)^2}[/tex]

               [tex]=\sqrt{4^2+4^2}[/tex]

                [tex]=\sqrt{16+16}[/tex]

               [tex]=\sqrt{32}[/tex]

              [tex]=\sqrt{16\times2}[/tex]

               [tex]=4\sqrt{2}[/tex]

Line equation:

            [tex]y-y_1=m(x-x_1)[/tex]      (this is the point- gradient form)

              [tex]y-1=1(x-3)[/tex]         (m=1 is slope, and I used point (3,1) for [tex](x_1,y_1)[/tex] )

              [tex]y-1=x-3[/tex]

                    [tex]y=x-2[/tex]      

The coordinates after each rotation are given as follows:

The function rule for the five more known rotation rules are given as follows:

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The characteristic that is representative of a FUSION reaction is: B. The reaction happens predominantly in stars, like our sun.

A reaction is a process that involves the transformation of one or more substances into new substances with different physical and/or chemical properties. Reactions can be classified as either physical or chemical depending on the nature of the change that occurs. In a physical reaction, the identity of the substances remains the same, but their physical properties, such as size, shape, or phase, may change. Examples of physical reactions include melting, freezing, boiling, and condensation.

Here,

Fusion reactions involve the joining together of two atomic nuclei to form a heavier nucleus, releasing a large amount of energy in the process. These reactions occur naturally in stars, including our sun, where the high temperatures and pressures allow the atomic nuclei to overcome their mutual repulsion and come close enough to fuse. While scientists are working on developing fusion reactors for use on Earth, the technology is still in the experimental stage and is not yet cost-effective for widespread use. However, fusion reactions do not produce long-lasting radioactive waste as in the case of nuclear fission reactions.

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Using the values in the table, we can see that the summation is equal ot -0.65

Here we want to find the summation:

[tex]\Sigma [x*P(x)][/tex]

This is equivalent to a expected value,  where we take the summations of the outcomes times the probability of each one.

So we take the value of x, and we multiply it by the value of P(x) that is in the same row and then we add all of these.

To do so, we just need to replace the values of the table, we will get:

[tex]\Sigma [x*P(x)] = -1*0.999 + 349*0.001\\ = -0.65[/tex]

That is the expected value.

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the arithmetic mean of the five consecutive integers starting with "b" is (a+4), which is option (c).

Let's call the five consecutive integers starting with "a" as a, a+1, a+2, a+3, and a+4.

The arithmetic mean of these five integers can be calculated as (a + (a+1) + (a+2) + (a+3) + (a+4))/5 = b. Simplifying this expression, we get:

5a + 10 = 5b +

a + 2 = b

So, the arithmetic mean of the five consecutive integers starting with "b" would be:

(b + (b+1) + (b+2) + (b+3) + (b+4))/5

= (5b + 10)/5 (since the integers are consecutive, we can express them in terms of b)

= b + 2

Substituting b = a + 2 (from the above equation), we get:

b + 2 = a + 4

Therefore, the arithmetic mean of the five consecutive integers starting with "b" is (a+4), which is option (c).

In other words, if the arithmetic mean of five consecutive integers starting with "a" is "b", then the arithmetic mean of five consecutive integers starting with "b" is two more than the last integer of the five consecutive integers starting with "a".

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Answer:

[tex]16 {cm}^{3} [/tex]

Step-by-step explanation:

First, we can find the volume of tank A:

[tex]v(a) = 20 \times 24 \times 20 = 9600[/tex]

Now, let's write an equation for tank B's volume:

[tex]9600 = 600 \times h(b)[/tex]

[tex]h(b) = \frac{9600}{600} = 16[/tex]

a) B', complement of B =  {a, b, d, f, h}

b) AN B', A intersection B' =  {b, h}

c) (A/B), or A - B = {a, b, h}

d) BU (CNA)​, B union (C intersection A) = {a, b, c, d, e, g, h}

a) The complement of B, denoted B', consists of all elements in U that are not in B. Thus, we have:

B' = {a, b, d, f, h}

b) A intersection B' consists of all elements that are in A but not in B. From the given sets, we have:

B' = {a, b, d, f, h}

A = {a, b, c, e, h}

Thus, A intersection B' = {b, h}

c) A/B, also denoted A - B, consists of all elements in A that are not in B. From the given sets, we have:

A = {a, b, c, e, h}

B = {c, e, g}

Thus, A/B = {a, b, h}

d) CNA is the union of C and A. From the given sets, we have:

A = {a, b, c, e, h}

C = {a, c, d, g, e}

Thus, A union C = {a, b, c, d, e, g, h}.

Finally, BU(A union C) is the union of B with A union C. From the given sets, we have:

B = {c, e, g}

A union C = {a, b, c, d, e, g, h}

Thus, BU(A union C) = {a, b, c, d, e, g, h}

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o find the local extrema of the polynomial, we first take the derivative of the polynomial and set it equal to zero:

f(x) = 10x^5 + 22x^4 + 20x^3 - 0x^2 + 6

f'(x) = 50x^4 + 88x^3 + 60x^2

Setting f'(x) = 0, we can factor out a 2x^2 from the expression to get:

f'(x) = 2x^2(25x^2 + 44x + 30) = 0

Using the quadratic formula to solve for x, we get:

x = (-44 ± sqrt(44^2 - 4(25)(30))) / (2(25))

x = (-44 ± sqrt(784)) / 50

x = (-44 ± 28) / 50

x = -0.32 or -0.56

Answer:

z^138 and z^×2183 is the answer

Answer:

Step-by-step explanation: You start by subtracting the original price from the new price.

Which is $42 from $33.60

$42-$33.60=$8.40

So $8.40 is your discount rate.

It is a false statement that for a negatively skewed distribution, the mean is the smallest of the three measures of central tendency because it is being pulled down by the small observations or possible outliers.

For a negatively skewed distribution, the mean is typically pulled towards the tail of the distribution with smaller values, but this does not necessarily mean that it is always the smallest of the three measures of central tendency.

The mode is the measure of central tendency that occurs most frequently in a dataset, and it may be smaller or larger than the mean depending on the shape of the distribution. The median is the middle value in a dataset, and it may also be smaller or larger than the mean depending on the shape of the distribution.

Therefore, the statement "For a negatively skewed distribution, the mean is the smallest of the three measures of central tendency" is not always true.

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Answer: y= -8x +2

Step-by-step explanation:

y = mx + b

M is the slope

B is the y intercept

Therefore , the solution of the given problem of equation comes out to be  (7, 8) and (-4, 6).(x - 7).

Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this case, leveling generates b + 7 rather than another algorithm that could analyze data provided by y + 7, split 12 into two parts, and create y + 7.

Here,

We must first determine the line's inclination. The slope calculation, which is as follows:

=>  m = (y2 - y1) / (x2 - x1)

where the coordinates for the two locations are (x1, y1) and (x2, y2).

We have the following using the locations (7, 8) and (-4, 6):

=>  m = (6 - 8) / (-4 - 7) = -2 / (-11) = 2/11

=>  y - y1 = m(x - x1)

Let's pick point (7, 8) on the line as our starting place. Next, by replacing m with 2/11 and (x1, y1) with (7, 8), we obtain:

=>  y - 8 = (2/11)(x - 7)

=>  y - 8 = (2/11)x - (14/11)

=> y = (2/11)x + (74/11)

Thus, y - 8 = (2/11) is the equation of the point-slope line passing through the locations (7, 8) and (-4, 6).(x - 7).

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Answer:

First, we know the slopes of perpendicular lines are negative reciprocals of each other.  So, the negative reciprocal of -1 is 1.  This is the slope of our new line.  From here, we can use this new slope along with our given point to find the y-intercept (b) of our new equation:

y = mx + b

-4 = 1(-2) + b

-4 = -2 + b

-2 = b

The y-intercept of our new line is (0,-2).  Now, we can write our equation of the new line:

y = x - 2

We can conclude after answering the presented question that x = $2.00 equation  (price of a queso pizza rebanada) y = $1.25 (price of a pie and championes pizza rebanada)

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x + 3" equals the number "9". The purpose of equation solving is to determine the value or readings of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. In the calculation "x2 + 2x - 3 = 0," for example, the variable x is raised to the second power. Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

The two variables are the price of a rebanada de pizza de queso and the price of a rebanada de pizza de pia y championes.

It is x the price of a rebanada de pizza de queso and y the price of a rebanada de pizza de pia y championes.

We have the following equation system:

3x + 4y + 12.50 = 12.50 (costo de las 7 rebanadas de pizza) (costo de las 7 rebanadas de pizza)

3x + 2y = 8.50 (costo de las 5 rebanadas de pizza que no incluyen el tool) (costo de las 5 rebanadas de pizza que no incluyen el tool)

When we solve the equation system, we get:

x = $2.00 (price of a queso pizza rebanada) y = $1.25 (price of a pie and championes pizza rebanada)

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Answer:

≈25,99

Step-by-step explanation:

Use trigonometry:

sin (38∘) = 16 / x

x = 16 / sin (38∘) ≈ 25,99

Answer:

Step-by-step explanation:

cos

cos^-1(26/52)=?

?=30

The standard error of the mean is 0.3125 mpg.

The sample mean will fall within the interval (19.9859, 20.0141)

A decimal is a number system that uses the base ten, which means it uses ten digits (0,1,2,3,4,5,6,7,8,9) to represent all numbers. Each digit in a decimal number represents a power of ten. For example, in the number 123.45, the digit "1" represents 1 x 10², the digit "2" represents 2 x 10¹, the digit "3" represents 3 x 10⁰, the digit "4" represents 4 x 10⁻¹, and the digit "5" represents 5 x 10⁻².

(a) The standard error of the mean (SE) can be calculated using the formula:

SE = s / √(n)

where s is the sample standard deviation, n is the sample size, and √ represents the square root. In this case, n = 16 and s = a = 1.25 mpg. Substituting these values, we get:

SE = 1.25 / √(16)

  = 0.3125

Rounding to 4 decimal places, the standard error of the mean is 0.3125 mpg.

(b) To find the interval within which we would expect the sample mean to fall with 90% probability, we need to use a confidence interval. Since the sample size is large enough (n >= 30) and the population standard deviation is known, we can use the z-distribution to construct a confidence interval. The z-value for a 90% confidence level is 1.645 (found using a standard normal distribution table or calculator).

The 90% confidence interval for the sample mean can be calculated using the formula:

CI = Xbar ± z*(SE)

where Xbar is the sample mean, z is the z-value for the desired confidence level, and SE is the standard error of the mean.

Substituting the given values, we get:

CI = 20.5 ± 1.645*(0.3125)

  = 20.5 ± 0.5141

Rounding to 4 decimal places, the 90% confidence interval for the sample mean is:

CI = (19.9859, 20.0141)

Therefore, we would expect the sample mean to fall within the interval (19.9859, 20.0141)

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Answer: There is no solution to the equation.

The deer made 8 tracks, the fox made 4 tracks, and the dog made 12 tracks.

Let's start by defining variables for the number of tracks made by each animal.

Let:

d be the number of tracks made by the deer,

f be the number of tracks made by the fox, and

x be the number of tracks made by the dog

From the problem, we know that:

d + f + x = 24 ......(1)

We also know that:

d = x - 4   .......(2)

d = f + 4   ..........(3)

from this we can rightfully assume that the dog made half the tracks hence

x = 12 tracks

d = 12 - 4 = 8

solving for f

d = f + 4

f = d - 4 = 8 - 4 = 4

we can therefore say that the dog made 12 tracks, the deer made 8 tracks while the fox made 4 tracks

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You spent $75 for the month when you used 7 GB of data. It would be worthwhile to upgrade to the 10 GB plan for $80 if you frequently exceed the 4 GB cap.

No matter how much of a good or service is used or consumed, a flat rate is a set amount that is charged. There are no extra fees or variable expenses; there is just one price that includes all related costs and fees. Utility bills, subscription services, and other recurring costs are frequently priced using flat rates. While they offer a predictable cost and can make budgeting and financial planning easier, they might be beneficial for clients who utilise a high volume of the product or service.

Given that, you are charged $5 for every GB you go over.

Here,

Extra data used = 7 GB - 4 GB = 3 GB

Cost of extra data = 3 GB x $5/GB = $15

Thus,

Total cost = $60 + $15 = $75

Hence, you spent $75 for the month when you used 7 GB of data.

It would be worthwhile to upgrade to the 10 GB plan for $80 if you frequently exceed the 4 GB cap. To decide which plan would be more affordable in the long run, you would need to evaluate the expenses of the two options and take into account your average monthly data use.

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Answer:

Class Midpoint

Step-by-step explanation:

36.5 is the the class midpoint for ages 35-38. To obtain the class midpoint, you find the averages of the upper and lower class limit for a specific class. In this case, (35+38)/2 = 36.5

1) The statement is true

2) The statement is true

3) No because names have equal probability of being picked

4) This is an unbiased sample

Sampling bias is a type of bias that occurs when a sample selected for a study or survey is not representative of the population being studied. This can lead to results that are not accurate or generalizable to the population as a whole.

Sampling bias can arise from various factors, such as the method used to select the sample, the size of the sample, and the characteristics of the individuals who participate in the study or survey.

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Answer:

I don't know what I am so sorry of computer science ranking it was my father is the first t e and video editing software for product of a number of times I am using simple terms of.

Step-by-step explanation:

NBG the main function performance multiplication ❌❌✖️of computer is used in planes and engineer salary is Atlantic chatter in short note of computer is the first man made calculating pH balance of computer is referred to earn foreign currency of computer is the first.bcdujvfyhcdybcMake it shortAn expression equivalent to 5(Z+2)5(Z+2)Make it shortAn expression equivalent to 5(Z+2)5(Z+2)Make it shortAn expression equivalent to 5(Z+2)5(Z+2)Make it short5(Z+2)Make it shortAn expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)Make it short5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)5(Z+2)An expression equivalent to 5(Z+2)5(Z+2)5(Z+2)An expression equivalent to 5(Z+2)An expression equivalent to 5(Z+2)cfgjmbvdzbcs of computer your favourite game of thrones on water into direct express debit card ♦️ of the products produced by

After answering the prοvided questiοn, we can state that Befοre making equatiοn a decisiοn, it is alsο impοrtant tο cοnsider οther factοrs such as the lοcatiοn, facilities, and services prοvided by each health club.

In mathematics, an equatiοn is a prοclamatiοn stating the justice οr twο phrases. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the statement "2x + 3" equals the value "9". The gοal οf equatiοn sοlving is tο determine the value οr values οf the variable in the mοdel) that will allοw the equatiοn tο be true. Equatiοns can be simple οr cοmplex, regular οr nοnlinear, and include οne οr mοre factοrs. In the equatiοn fοr "x² + 2x - 3 = 0," example, the variable x is raised tο the secοnd pοwer. Lines are used in many mathematical areas, including algebra, mathematics, οr geοmetry.

We can create a table tο calculate the tοtal cοsts οver different time periοds tο cοmpare the cοsts οf jοining Let's Get Mοving versus Fitness fοr Life:

Membership Length Let's Get Mοving Fitness fοr Life

1 mοnth                                    $245             $50

6 mοnths                                 $455              $300

1 year                                       $630              $600

2 years                                    $1,290            $1,200

Accοrding tο this table, if Justin plans tο jοin fοr a shοrt periοd οf time, such as a mοnth οr six mοnths, Fitness fοr Life is a better οptiοn because it has a lοwer tοtal cοst. If Justin intends tο jοin fοr a lοnger periοd οf time, such as a year οr twο years, Let's Get Mοving may be a better οptiοn because the οne-time initiatiοn fee is spread οut οver time.

Befοre making a decisiοn, it is alsο impοrtant tο cοnsider οther factοrs such as the lοcatiοn, facilities, and services prοvided by each health club.

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The probability of a person having this skill is estimated to be 87/1000 or 0.087.

Probability is a branch of mathematics that deals with determining the likelihood of an event occurring. The probability of an event occurring is equal to the number of favorable events divided by the total number of events. Probability has a value between 0 and 1, with 0 denoting uncertainty and 1 denoting certainty.

Based on the given conditions, we will formulate for 8,700/100,000 to get the probability of a person having this skill to wiggle their ears and their nose at the same time.

Let is cross out the common factor. Now we will have [tex]87/1000[/tex]. Therefore, the probability of a person having this skill is estimated to be [tex]87/1000[/tex] or [tex]0.087[/tex].

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Answer:

To find the area of the figure, we need to find the area of the rectangle and the area of the parallelogram, and then add them together.

First, we need to identify which sides of the figure belong to the rectangle and which sides belong to the parallelogram. Looking at the coordinates of the vertices, we can see that the vertices (-10,2), (-7,3), (-1,3), and (1,-3) form a parallelogram, while the vertices (-7,3), (-2,-4), and (-4,2) form a rectangle.

To find the area of the parallelogram, we can use the formula:

Area = base × height

where the base is the length of one of the sides of the parallelogram, and the height is the perpendicular distance between the base and the opposite side. We can choose any side of the parallelogram as the base, but it is usually easiest to choose the side that is perpendicular to the x-axis, since its length is simply the difference between the x-coordinates of the two endpoints.

Using the coordinates (-10,2) and (-7,3) as the endpoints of the base, we find that the length of the base is:

|-7 - (-10)| = 3

To find the height, we need to find the perpendicular distance between the base and the opposite side of the parallelogram. We can do this by drawing a vertical line from one endpoint of the base to the opposite side, and then measuring the length of this line. We can see that the line from (-10,2) to (-1,3) is perpendicular to the base, so its length is the height of the parallelogram:

|-1 - (-10)| = 9

Therefore, the area of the parallelogram is:

Area = base × height = 3 × 9 = 27

To find the area of the rectangle, we simply need to multiply the length and width of the rectangle. We can see that the length is the distance between (-7,3) and (-4,2):

|-4 - (-7)| = 3

and the width is the distance between (-7,3) and (-2,-4):

|(-2) - (-7)| = 5

Therefore, the area of the rectangle is:

Area = length × width = 3 × 5 = 15

Finally, we can find the area of the whole figure by adding the area of the rectangle and the area of the parallelogram:

Area of figure = Area of rectangle + Area of parallelogram

= 15 + 27

= 42

Therefore, the area of the figure is 42 square units.

We can expect the number cube to land on 5 about 12 times if it is tossed 72 times.

Step-by-step explanation:

The statement does not make sense. A triangle cannot have two right angles as the sum of the three angles in a triangle is always 180 degrees. Two right angles would add up to 180 degrees, leaving no room for the third angle.

To determine the number of plants needed, first find the perimeter of the square flower bed by multiplying the length of one side by 4 (since there are four sides in a square). 8 x 4 = 32 feet. Then convert the spacing of 8 inches to feet by dividing by 12 (since there are 12 inches in a foot). 8 / 12 = 0.67 feet. Finally, divide the perimeter of the flower bed by the spacing of the plants to get the total number of plants needed. 32 / 0.67 = 47.76. Round up to the nearest whole number to get the final answer of 48 plants.

A square is a type of rectangle because it has four right angles and opposite sides that are parallel and congruent. A square is a type of rhombus because it has four sides of equal length. A square is a type of parallelogram because it has two pairs of opposite parallel sides. A square is a type of quadrilateral because it has four sides. A square is a type of polygon because it is a closed shape with three or more sides.