Triangle XYZ with vertices X(5, 4), Y(3, -1) and Z(0, 2) is translated so that X' is at (3, 1). Choose the coordinates of Y'
and Z'.
a. Y'(5, 2) and Z'(2, 5)
b. Y'(0, -3) and Z'(-3,0)
c.
d.
OA
OB
OC
OD
Y'(1,-4) and Z'(-2, -1)
Y'(11, 4) and Z'(8, 6)
Please select the best answer from the choices provided

To convert 162 pounds to kilograms, you can use the following conversion factor 1 pound = 0.453592 kilograms

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Subtracting mixed numbers with the same denominators

Follow the steps to subtract mixed numbers with the same denominators:

Step 1– Subtract the wholes.                

Step 2– Converting the fractions into improper fractions.

Step 3– Subtract the fraction.

Step 4– Swap the improper fraction into a mixed number.

Step 5– Write down the mixed number with wholes and the fraction.

Example- [tex]5\frac{7}{3} - 3\frac{2}{3}[/tex]

Subtract 3 from 5.

                    5 – 3 =2

Subtract the fractions:

             [tex]\frac{7}{3} - \frac{2}{3}[/tex]

Write the fraction with the whole.

[tex]5\frac{7}{3} - 3\frac{2}{3} = 2\frac{5}{3}[/tex]

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The least number of terms required to compute pi as 3.14 is approx 400.

The series is π = 4 - 4/3 + 4/5 - 4/7 + .................

We have to determine the least number of terms required to compute pi as 3.14.

We can write the series as

π = 4(1 - 1/3 + 1/5 - 1/7 + .................)

The general equation of this series is

π = 4[tex]\Sigma_{k=0}^{\infty}(-1)^k(2k+1)^{-1}[/tex]

Now let S = π. So

S = 4[tex]\Sigma_{k=0}^{\infty}(-1)^k(2k+1)^{-1}[/tex]

From the Alternating series theorem

|S - S(n)| ≤ 4/(2n+1)

Hence, the accuracy should be

4/(2n+1) ≤ 1/2 × 10^{-2}

Multiply by 2 on both side, we get

8/(2n+1) ≤ 10^{-2}

We can write 10^{-2} as 1/100. Now the expression is

8/(2n+1) ≤ 1/100

Multiply by 100 on both side, we get

800/(2n+1) ≤ 1

Multiply by 2n+1 on both side, we get

800 ≤ 2n+1

Subtract 1 on both side, we get

2n ≥ 799

Divide by 2 on both side, we get

n ≥ 399.5

Hence, approx 400 terms need to compute pi as 3.14.

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The complete question is:

What is the least number of terms required to compute pi as 3.14 using the series:

π = 4 - 4/3 + 4/5 - 4/7 + .................

The length of any side of the square basket would be 6 feet.

What are Square roots and length?

In mathematics, the square root is a factor that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3.

The word "length" refers to the size of an object or the separation between two points. For instance, the length of a ruler is indicated below and indicates how long the ruler is.

You can find this by finding the square root of 36, which is 6.

The length of any side of the square basket would be 6 feet.

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The solution is of the function 3f(x) +2g(x) is:

=> -5x-2  

Now, According to the question:

Algebra of  functions:

Algebra of functions means the operations of the functions, specifically the arithmetic operations. Algebra of functions mainly deals with the following four arithmetic operations of functions:

The function given as:

f(x) = -3x, g(x) = 2x-1 are the two functions

then by the algebra of two functions(adding two functions) we can find the value of 3f(x) + 2g(x)

Now find

3f(x) = 3(-3x) = -9x            -----------(i)

2g(x) = 2(2x-1)

         = 2(2x)-2(1)                        

2g(x) = 4x-2                     ----------(ii)

Now, add the above two equation (i) and (ii)

3f(x) + 2g(x) = -9x + 4x - 2

                   = -5x-2  

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The given question is incomplete, complete question is:

Let f(x) = -3x and g(x) = 2x-1

Find the following: 3f(x) +2g(x)

0 6x +4

0 -5x - 2

O There is no correct answer given.

O 8x -8

O 5x+1

Avery write an explicit equation is  t(n)=19+(n-1)*(-2)=21-2n and a  Collin write a recursive equation is t(n+1)=t(n)/6-10/3.

What is explicit equation & recursive equation?

A closed-form expression or a mathematical expression expressed in terms of a limited set of well-known functions are examples of explicit formulas. the mathematical formula expressed analytically, using a limited or infinite number of well-known functions.

A recursive function is one that generates a series of phrases by repeating or using its own prior term as input. The arithmetic-geometric sequence, which has words with a common difference between them, is typically the basis on which we learn about this function.

To write an explicit equation, we can use the given recursive equation and find the value of the first term, t(1).

Substituting n=1 into t(n+1)=t(n)−2

gives t(2)=t(1)−2.

We know that t(2)=19, so t(1)=19+2=21.

Thus, the explicit equation for the sequence is t(n)=19+(n-1)*(-2)=21-2n. This is an arithmetic sequence.

To write a recursive equation, we can use the explicit equation that Avery wrote, t(n)=6n+8.

Rearranging this equation gives n=(t(n)-8)/6.

Substituting this expression into the recursive equation t(n+1)=t(n)−2 gives t(n+1)=(t(n)-8)/6−2.

Expanding t(n) on the right-hand side and simplifying gives t(n+1)=t(n)/6-10/3.

A explicit equation is  t(n)=19+(n-1)*(-2)=21-2n and a recursive equation is t(n+1)=t(n)/6-10/3.

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Answer:

42-13 =28 so there are 28

Settings to convert Text to table is Click Insert > Table > Convert Text to Table, then set the desired parameters.

What is settings in computer?

Microsoft Windows has a feature called Windows Settings, formerly known as PC Settings. Users may manage their connected devices, customise their operating system, and change their user settings. Microsoft initially intended for Settings to replace the Windows Control Panel, which has not happened 10 years after it was first released with Windows Server 2012 and Windows 8.

Start by selecting the Show/Hide paragraph mark on the Home tab so you can see how text is separated in your document before converting text to a table or a table to text.

Text to a table conversion in Microsoft Word -

When dividing the text into table columns, use separator characters like commas or tabs.

To indicate where to start a new table row, use paragraph markers.

Click Insert > Table > Convert Text to Table after selecting the text you wish to convert.

Make your selections in the Convert Text to Table box.

Make sure the figures under "Table size" correspond to the amount of columns and rows you desire.

Select the desired appearance for your table under AutoFit behaviour.

Word chooses a width for the table column automatically.

Select the separator character you used in the text under Separate text at.

Select OK.

Therefore, the procedure to convert text to table is explained.

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For a real-valued function f, it is said that the interval's value increases for every x and y where f (x) f (y) (x). and the interval is referred to as declining if its value is f (x) f (y) for every x y.

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When added to 2 PM, this gives us a time of 2:17 PM. Thus, Ron returned home at 2:17 PM.

Ron left his home at 7:00 AM. To determine what time he returned home, we need to add 7 hours and 35 minutes to the time he left. This can be done by adding 7 hours to the hours portion of the time and 35 minutes to the minutes portion of the time. In this case, 7 hours added to 7 AM is 2 PM, and 35 minutes added to 0 minutes is 35 minutes, so Ron returned home at 2:35 PM. To be more precise, we can convert the minutes portion of the time to a fraction of an hour, which would give us 2 hours and 35/60 of an hour or 2 hours and 0.5833 hours. When added to 2 PM, this gives us a time of 2:17 PM. Thus, Ron returned home at 2:17 PM.

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a) class interval that contains the median is: 2 ≤ h ≤ 3

b) An estimate for the mean numbers of hours: 23

In statistics, the median is the value that, when placed in order, falls in the centre of the supplied collection of data. Either descending or ascending order can be used to arrange the data or observations. The median of 2,3,4, for instance, is 3. The median is a form of average that is used to determine the center value in mathematics. The middle pair must be identified, added, then divided by two in order to calculate the median value in a list of even integers.

To find median class calculating cumulative freq. (cf) of less than type first:

Number of hours(h)        frequency(f)           cf

0 ≤ h ≤ 1                               4                         4

1 ≤ h ≤ 2                               8                         12

2 ≤ h ≤ 3                              11                         23

3 ≤ h ≤ 4                               7                         30

N/2 = 30/2

Where, N = ∑f

N = 15 ∑cf > N/2

so, median class is 2 ≤ h ≤ 3 since cf 23 is corresponding to this class.

Therefore class interval that contains the median is: 2 ≤ h ≤ 3.

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Since the statistical survey was done with 5108 randomly selected households it can be concluded that the sample is 5108 randomly selected households.

In order to draw conclusions about the population as a whole a sample of data can be chosen.
A sample is a subset of a larger population that represents the larger population that is chosen for analysis.

In this instance, the sample consists of 5108 homes that were chosen at random for the survey to determine the proportion of homes with televisions tuned to the Super Bowl.

In order to accurately represent the number of households that watched the Super Bowl, a sample size of 5108 was used.

It should be also noted that Nielsen Media Research is a market research company that specializes in measuring media audiences, including television viewership.

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The adult male foot length of 24.2 cm is significantly low as it falls outside of the range of 26.10 cm to 28.72 cm.

The range is just the difference between the greatest and smallest data points in a set.

The square root of the variance is the standard deviation.

The standard deviation measures how far apart the data is from the mean.

The range is a less useful measure of variance than the standard deviation.

The range of data is a measure of variance that indicates the difference between the dataset's maximum and least observation.

It is based only on two observations, the maximum and minimum.

The range rule of thumb states that approximately 68% of the data falls within one standard deviation of the mean, and approximately 95% of the data falls within two standard deviations of the mean.

So, the lower limit separating significantly low values will be:

27.41 - 1.31 = 26.10 cm

And the upper limit separating significantly high values will be:

27.41 + 1.31 = 28.72 cm.

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If you multiply 256 by 10 powered by k, then the number of zeros in the product is k

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Since line C has a slope of -8/3 and line D is parallel to line C, the slope of line C is equal to -8/3.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

In Geometry, two (2) lines are parallel under the following conditions:

m₁ = m₂

This ultimately implies that, the slope of the two lines are equal and the same:

Slope of line C = Slope of line D

-8/3 = -8/3.

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The exponential growth factor of the given function is 7.

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two varying quantities.

The slope of the line that represents a linear relationship is equal to the growth factor. When the relationship is shown as an equation in the form y = mx + b, the growth factor is also equal to the value of m.

Given exponential function is

y = 4 * 5⁷.

Now compare the given function with y = P₀e^k

P₀ = 4

e = 5

k = 7

The growth factor is 7.

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Corey ran 131.69 meters around a rectangular soccer field.

The whole distance that a rectangle's borders, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:

Corey ran around a rectangular soccer field that measures 38.50 meters by 27.345 meters.

Corey ran = Perimeter of rectangle =2 (38.50 + 27.345)

Corey ran = 131.69 meters.

Therefore, Corey ran 131.69 meters.

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"15 + r" is the expression that represents the total number of rows knitted by Christine. Thus, option B is correct.

To find the total number of rows Christine has knit, we need to add the number of rows she knit over the weekend (represented by the variable "r") to the number of rows she had already knit (15).

This can be done by using the expression:

This expression states that the total number of rows is equal to the initial number of rows (15) plus the additional rows knit over the weekend (represented by the variable "r"). The value of "r" could be any number, so the expression "15 + r" could represent any total number of rows.

For example, if Christine knit 5 more rows over the weekend, the expression "15 + 5" would equal 20, so Christine has knit a total of 20 rows.

This question should be provided as:

Christine had already knit 15 rows of a scarf. She knitted r more row over the weekend. Choose the expression that shows the number of rows Christine has knitted in all.

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Therefore, the value of x is established to be: x = 28 using the notion of linear pair angles.

Since that it has three sections and two vertices, a triangular qualifies as a polygon. It corresponds to the essential geometric patterns. Triangle ABC is the term used to refer to a triangle with the endpoints A, B, and C. Because when three principles are not linearly related, a unique plane composite triangle in Geometric shapes are discovered. Triangles are polygons because they have three sections and three corners. The points where it three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

given

m∠ELG = 124°

m∠ELD = 2x

Thus:

m∠ELG + m∠ELD = 180° (linear pair)

Substitute

124 + 2x = 180

2x = 180 - 124

2x = 56

x = 56/2

x = 18

Therefore, the value of x is established to be: x = 28 using the notion of linear pair angles.

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Answer:

The Mathman guy is wrong, the answer is actually 15.

Step-by-step explanation:

because from the equation that you gave, nicole started with $5 and added $15 every week
thus let y represent the total money and x represent the number of week after x week
nicole save: 15x
because at the beginning he has $5
so, y = 15x + 15
y = mx+c m is the slope c is the y intercept
so slope = 15
so we reach to the conclusion that the rate of change is 15

Answer:

A rational number is any number that can be expressed as a whole number, a fraction, or as a non repeating decimal. Otherwise, it is an irrational number.

19/5: it is a rational number because it is in fraction form

√12: this is an irrational number

√49: this is a rational number because when you simplify this you will get the answer 7, that is a whole number.

0.3425563758:  This is a decimal, hence, this is rational.

4/25 :  it is a fraction so it is a rational number.

√1/8: this is an irrational number

√0.6¯: this is an irrational number

The Spearman-Brown formula is used to adjust the reliability estimate of a test when concerns arise about the shortness of the test, i.e., the limited number of test items. Thus, B is correct.

The formula takes into account the number of items in the test and calculates the expected increase in reliability if the test were to be made longer. The formula is based on the assumption that adding more items to a test would increase its reliability, and thus provides a way to estimate the theoretical minimum length of a test required to achieve a desired level of reliability.

The formula is widely used in psychological testing and educational measurement to evaluate the reliability of test scores and to make decisions about the number of items needed in a test to achieve a desired level of reliability.

This question should be provided as:

The Spearman-Brown formula is for which purpose?

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The final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants would be $70.

The final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants can be represented by the following formula:

Final Cost = Sweatshirt Cost + (2 x T Shirt Cost) + Pants Cost

For example, if the cost of a sweatshirt is $20, the cost of a T shirt is $10, and the cost of a pair of pants is $30, the final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants would be:

Final Cost = $20 + (2 x $10) + $30

Final Cost = $20 + $20 + $30

Final Cost = $70

Therefore, the final cost of 1 sweatshirt, 2 T shirts, and 1 pair of pants would be $70.

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Complete question:

What is the Final Cost of 1 Sweatshirt, 2 T-Shirts, and 1 Pair of Pants?

The square root function contains a variable under the square root sign. The cube root function contains a variable under the cube root sign.

What is a function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between varying quantities and other variables.

A variable under the square root sign is present in a square root function, and a variable under the cube root sign is present in a cube root function.

Zero has a square root of zero, and one has a square root of one. Keep in mind that the graph only contains points where x and y are positive. For instance, using the imaginary number i is necessary when taking the square root of a negative number.

The square root function is f(x) = √x

For positive values, the graph resembles the square root graph, but cube roots can also be negative, making this equation infinite for all real numbers. Recall that a negative number will result from being multiplied an odd number of times.

The cube root function is f(x) = ³√x

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The slant height,

x = 5 meters.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.

Given:

A right circular cone is 4 meters tall and have a radius 6/2 = 3 meters.

Applying the Pythagoras' theorem,

The slant height = √{(3)² + (4)²}.

The slant height = √25

The slant height = 5 meters.

Therefore, the slant height = 5 meters.

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Sanchez made more money by 3.93$

To travel downstream, a boat needs 2 hours while to travel back upstream, it needs 4 hours. The river flows at speed of 3.58  3.58 km/hour

The relation between distance and speed is given by:

distance = speed x travelled time

In the problem, let:

vb = boat speed

v = river speed

Then, when the boat travels downstream:

28.62 = (vb + v) x 2

2vb + 2v = 28.62   ... (Equation 1)

When the boat travels upstream:

28.62 = (vb - v) x 4

Divide both sides by 2:

14.31 = (vb - v) x 2

2vb - 2v = 14.31  ... (Equation 2)

Substract equation 1 by equation 2

2vb + 2v = 28.62

2vb  - 2v = 14.31 _

       4v  = 14.31

          v = 3.58

Hence, the speed of water = 3.58 km/hour

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Answer:

A linear yard is equal to 3 linear feet, so Marnie's hallway runners cost $28.56 per linear yard ($9.52 x 3 = $28.56).

As per the concept of permutation,  there are 362,880 possible arrangements of the letters of "sociological."

In mathematics and combinatorics, the number of arrangements of a set of objects is calculated using a formula called permutation.

When it comes to the word "sociological," there are 9 letters, and we want to calculate the number of arrangements that can be made using all 9 letters.

To find the number of arrangements, we can use the formula for permutation.

In this case, it would be

=> 9!

which is equal to

=> 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 =  362,880

Complete Question:

How many arrangements are there of all the letters of word "sociological" calculate it by using the permutation method?

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