christoper wants to create a right trangle on a coordinate plane. he has already graphed points at (3,6) and (8,-2) and connected them with lines segment. which point could christopher place on the graph to create a right triangle

A photo of a woman standing between two long rows of sewing machines in a factory. The factory owners relied on skilled workers to run the machines. Thus, option b is correct.

The manufacturing system's key advantages were lower costs for the business and increased worker productivity. The factory administration had direct control over the workers, allowing for regular monitoring of their output. Resources may be used more efficiently if they are shared across several employees.

First, equipment hastened the production of goods. This is because a machine might perform routine tasks skillfully and dependably. The ability of equipment to decrease the number of people required to complete a task is its second advantage. They were able to avoid paying employees by doing this, which allowed them to save money.

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The complete question is-

The photo shows a woman watching a row of machines in a factory. A photo of a woman standing between two long rows of sewing machines in a factory. what advantages did machinery provide for factory owners?

a. machines could do the work faster than skilled workers by hand.

b. factory owners relied on skilled workers to run the machines.

c. the machines produced a better product than skilled workers by hand.

d. factory owners needed more unskilled workers to run the machines.

The total value of the loan in simple interest is $59,625, which is the lowest amount and hence is the best option.

Simple interest is defined as the interest obtained over the principal amount on a certain rate.

Compound interest is defined as the amount of interest which has been calculated on the principal amount and the amount accumulated over the previous period.

Principal amount, P = $50,000

Rate of interest, r = 5.25% = 0.0525

Time,t = 3 years 8 months = 3 + 0.6667 years = 3.6667 years

Part A :

For simple interest, total amount is,

A = P (1 + rt) = 50,000 ( 1 + (0.0525 × 3.6667 ))

                   = $59,625

Part B :

For compounded interest. total amount is,

A = P (1 + [tex]\frac{r}{n}[/tex])^(nt), where n is the number of times compounding is done in an year.

Here, n = 4, since compounding is quarterly

A = 50,000 [ 1 + [tex]\frac{0.0525}{4}[/tex]] ^(4 × 3.6667)

   = $60,537.9639 ≈ $60,537.96

Part C :

For continuously compounded interest, final amount is,

A = P [tex]e^r^t[/tex]

   = 50,000 [tex]e^{0.0525*3.6667[/tex]

   ≈ 60,613.83

Part D :

The option of simple interest is best for the small business owner since the total value of the loan is lowest for it.

Hence the value of the loan for simple interest is $59,625, value of the loan when compounded quarterly is $60,537.96 and the value of the loan when continuously compounded is 60,613.83. Simple interest is the best option since the value of the loan is lowest for it.

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The value of x is  x€ {( x1=- 3/4+(√151)/4 i), (- 3/4  - (√151)/4 i)}

2X^2 + 3X + 20 = 0

Here we will use the Quadratic formula:

Once in standard form, identify a,b and c from the original equation and plug them into the quadratic formula.

2x∧2+ 3x +20=0

Give:

Here,

a= 2

b= 3

c= 20

x= (-3±√(3^2-4.2.20))/2a

x= (-3±√(3^2-4.2.20))/2.2

x= (-3±√(9-160))/(      2^(1+1) )

Now take x1 and x2 , as we have two signs + and -.

x1  = (-3+√(9-160))/(      2^2 )

x2   =   (-3-√(9-160))/(      2^2 )

x1  = (-3+√(-151))/(      2^2 )

x2  = (-3-√(-151))/(      2^2 )

x1   =   (-3+√(-151).  √(-1))/(      2^2 )  

x2   =   (-3-√(-151).  √(-1))/(      2^2 )

x1   =   (-3+√151.  i)/(      2^2 )  

x2   =   (-3-√151.  i)/(      2^2 )

x1   =   (-3+√151.  i)/(      4)  

x2   =  - (3+√151.  i)/(      4)

x1= - 3/4+(√151)/4 i

x2= - 3/4  - (√151)/4 i

x€ {( x1=- 3/4+(√151)/4 i), (- 3/4  - (√151)/4 i)}

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Answer:

5(2x-3)-7x=x-10

or, 10x -15 -7x = x-10

or, 3x-15=x-10

or, 3x- x = 15-10

or, 2x = 5

or, x= 5/2

Answer:B

Step-by-step explanation:

If you simplify 3/6 you will get 1/2

Answer:

Below

Step-by-step explanation:

Given the slope m = 3/7

  the PERPINDICULAR slope will be  - 1/m  = -1 / (3/7) = - 7/3

      this is just something you have to LEARN and remember....

Answer:

Step-by-step explanation:

Answer: No Solution

1. Substitute the given value of x into the equation:

-2(y+2)+2y=4

2. Solve the equation for y

No Solution :-)

GIVE BRANLIEST

Infinitely many solutions

∞

x - y = 2

2x - 2y = 4

x = y + 2

2•(y +2) - 2y = 4

0 = 0 =>  Infinitely many solutions

Expression to represent total amount Elijah will have in both accounts after two weeks is 60w + 973

An expression or algebraic expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them.

Given,

Elijah opened a checking account with $588 and deposits $25 into it every week.

Expression for the amount in w weeks = 25w + 588

He opened another checking account with $385 and deposits $35 into it every week.

Expression for the amount in w weeks = 35w + 385

Total amount in both bank accounts in w weeks

= 25w + 588 + 35w + 385

Adding like terms

= 60w + 973.

Hence, expression, 60w + 973 represents the amount Elijah will have in both accounts after w weeks.

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Answer:

5.83 x 10^13.

Step-by-step explanation:

5.3x10^6 x 1.1x10^7

= 5.3 x 1.1 x 10^(6+7)

= 5.83 x 10^13.

Answer:

$24

Step-by-step explanation:

30 times .80=24

Answer:

A) Function f is translated up 3 units.

B) Function f is translated to the right 5 units.

Step-by-step explanation:

Given functions:

[tex]f(x)=\sqrt[3]{x+4}[/tex]

[tex]g(x)=\sqrt[3]{x-1}+3[/tex]

To transform function f to function g, first subtract 5 from the x:

[tex]\begin{aligned}f(x-5)&=\sqrt[3]{x-5+4}\\&=\sqrt[3]{x-1}\end{aligned}[/tex]

Now add 3 to the function:

[tex]f(x-5)+3=\sqrt[3]{x-1}+3[/tex]

When a number "n" is subtracted from the x variable of a function, the function is translated "n" units to the right.

When a number "n" is added to a function, the function is translated "n" units up.

Therefore, the transformations performed from function f to function g are:

Yes, it is true that  [tex]x^{2}[/tex] + 3x - 1  is a factorization of [tex]x^{4}[/tex] + 3[tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] - 3x + 1.

Let us factorize the equation,

     [tex]x^{4}[/tex] + 3[tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] - 3x + 1

  => [tex]x^{4}[/tex] - 2[tex]x^{2}[/tex] + 1 - 3x + 3[tex]x^{3}[/tex]

Let's construct a complete square using the terms provided:

=>[tex](x^{2}) ^{2}[/tex]- 2 × [tex]x^{2}[/tex] × 1 + [tex]1^{2}[/tex] + 3[tex]x^{3}[/tex] - 3

=> [tex](x^{2} - 1)^{2}[/tex] + 3[tex]x^{3}[/tex] - 3x

After completing the above calculation, take the common 3x from 3x^3 - 3x.

 =>[tex](x^{2} - 1)^{2}[/tex] + 3x([tex]x^{2}[/tex] - 1)

 =>([tex]x^{2}[/tex] - 1) ( ([tex]x^{2}[/tex] - 1)+ 3x )

 =>([tex]x^{2}[/tex] - 1) ([tex]x^{2}[/tex] + 3x - 1)

Hence, ([tex]x^{2}[/tex] - 1) and ([tex]x^{2}[/tex] + 3x - 1) are two factors of the

equation   [tex]x^{4}[/tex] + 3[tex]x^{3}[/tex] - 2[tex]x^{2}[/tex] - 3x + 1.

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Answer:

In this section we will discuss the method of graphing an equation in two variables. In other words, we will sketch a picture of an equation in two variables.

Step-by-step explanation:

The wechsler intelligence scale has a mean of 100 and a standard deviation of 15.  the z score that corresponds to an iq score of 115 is 1.

To calculate the Z score, you subtract the mean from the score and divide it by the standard deviation. In this case, 115-100=15, and 15/15=1.  A Z score of 1 indicates that the score is one standard deviation above the mean. This means that a score of 115 is higher than 84% of the population. It is in the top 16% of scores.

This score is considered to be in the high average range on the Wechsler Intelligence Scale.  The Z score can be interpreted in a variety of ways. It can be used to compare scores or to see how far a score is from the mean. It also can be used to compare scores across different tests. For example, a Z score of 1 on the Wechsler Intelligence Scale could be compared to a Z score of 1 on another test to see how the scores compare.

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The domain and the range of the function and its inverse is increasing.

In order to use the given linear function to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = -1, the linear function is given by;

f(x) = 3x + 2

f(-1) = 3(-1) + 2

f(-1) = -1.

When the value of x = -2/3, the linear function is given by;

f(x) = 3x + 2

f(-2/3) = 3(-2/3) + 2

f(-2/3) = 0.

When the value of x = -1/3, the linear function is given by;

f(x) = 3x + 2

f(-1/3) = 3(-1/3) + 2

f(-1/3) = 1.

When the value of x = 1/3, the linear function is given by;

f(x) = 3x + 2

f(1/3) = 3(1/3) + 2

f(1/3) = 3.

When the value of x = -1, the inverse function is given by;

f⁻¹(x) = 1/3(x) - 2/3

f⁻¹(-1) = 1/3(-1) - 2/3

f⁻¹(-1) = -0.9999

When the value of x = 0, the inverse function is given by;

f⁻¹(x) = 1/3(x) - 2/3

f⁻¹(0) = 1/3(0) - 2/3

f⁻¹(0) = -2/3.

When the value of x = 1, the inverse function is given by;

f⁻¹(x) = 1/3(x) - 2/3

f⁻¹(1) = 1/3(1) - 2/3

f⁻¹(1) = -1.

When the value of x = 3, the inverse function is given by;

f⁻¹(x) = 1/3(x) - 2/3

f⁻¹(3) = 1/3(3) - 2/3

f⁻¹(3) = 1/3.

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The density of benzene in English units is 9.69 lb/ft³.

Mass per unit volume is measured using density. It can be calculated by dividing an object's mass by its volume. A crucial physical characteristic of matter is density, which has an impact on how objects behave in various settings. A valuable tool for determining the concentration of a specific object or material is density. The more mass an object has for a particular volume, the higher its density. The unit of measurement for density is kilograms per cubic meter (kg/m³).

Benzene has a specific gravity of 0.97, making it 0.97 times heavier than water. The weight of water, which is 62.427 lb/ft³, must be multiplied by the specific gravity to determine the specific weight of benzene.

Benzene has a specific gravity of 0.97, making it 0.97 times heavier than water. The weight of water, which is 62.427 lb/ft³, must be multiplied by the specific gravity to determine the specific weight of benzene. As a result, benzene has a specific gravity of 60.7 lb/ft³.

We must divide the specific weight of benzene by the weight of 1 cubic foot of benzene, which is 6.24lb, in order to determine the density of benzene in English units. As a result, benzene has a density of 9.69 lb/ft³ in English units.

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The slant height of the right cone is 24.2 units, rounded to the nearest tenth.

A right triangle's hypotenuse, or side opposite the right angle, has a square length that, according to the Pythagorean theorem, is equal to the sum of the squares of the lengths of the other two sides.

The Pythagorean Theorem can be used to determine the slant height of a right cone. The circular base's radius is equal to its diameter times half, or 6/2 = 3 units.

The volume of the cone can be found using the formula:

V = (π/3)r²h

Where r is the radius, and h is the height of the cone. Plugging in the given values, we have:

72π = (π/3)r²h

72π = (π/3)3²h

72π = (π/3)9h

72π = 3πh

24 = h

Using the Pythagorean Theorem, we can find the slant height as follows:

c² = a² + b²

Where a and b are the height and radius of the cone, and c is the slant height. Plugging in the values we have:

c² = 24² + 3²

c² = 576 + 9

c² = 585

c = 24.2

Hence, the slant height of the right cone is 24.2 units, rounded to the nearest tenth.

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The length of a training track running around the field is 334.7m.

A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel.

A semicircle is created when a circle is divided in half along its diameter. There is an equal distribution of each half. A semicircle is a circle that has been folded in half; it is sometimes referred to as a half-disk.

here, we have,

GIven that;

length of rectangle = 81m

width of rectangle = 55m

Length of track running around the field = 2 x length of field + circumference of two semicircles

= 2 x 81 +pi x 55

= 162 + 3.14 x 55

= 334.7m

∴ the length of a training track field is 334.7m

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The new triangle is similar with original triangle.  By using this, the perimeter of the new triangle P₂ = 75 cm.

When applying a scale factor, similar shapes are enlarged versions of one another. All of the corresponding angles and lengths in related shapes are equal and in the same ratio.

We divide the length of the enlarged shape by the length of the original shape to calculate the length scale factor.

The ratio of perimeter of both shapes is same as the ratio their corresponding side.

Given that the sides of triangle are 9cm, 20cm, 21cm.

The perimeter of this triangle

P₁ = 9cm + 20cm + 21cm

P₁  = 50cm

As the lengths of triangle are multiplied by 150%. So the perimeter of new triangle is also 150% of original triangle.

Let the perimeter of new triangle is P₂

So that

150% = P₂ /  P₁

⇒ 150 / 100 =  P₂ / 50

Multiply both sides by 50 we get

⇒ (3/2)*50 =  P₂

⇒ P₂ = 150/2

⇒ P₂ = 75

So the perimeter of the new triangle P₂ = 75 cm.

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If in March, Stinson Company completes its only two jobs in process, Jobs 10 and 11. The entry is Dr Finished goods inventory $50,000,Cr Work in process inventory $50,000.

Journal entry is used by companies to record their business transactions.

Preparation of the journal entries for the completion of the two jobs and the sale of Job 10

Mar. 31

Dr Finished goods inventory $50,000

(20,000+30,00)

Cr Work in process inventory $50,000

( To record the completion of the two jobs)

Mar. 31

Dr Cash $35,000

Cr Sales revenue $35,000

(To record the sale job 10)

Mar. 31

Dr Cost of goods sold $30,000

Cr Finished goods inventory $30,000

(To record the cost of the job sold)

Therefore the entry is Dr Finished goods inventory $50,000,Cr Work in process inventory $50,000.

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The complete question is:

In March, Stinson Company completes Jobs 10 and 11. Job 10 cost $20,000 and Job 11 $30,000. On March 31, Job 10 is sold to the customer for $35,000 in cash.Journalize the entries for the completion of the two jobs and the sale of Job 10.Date Account Titles and Explanation Debit CreditMar. 31 31 31

Answer:

YB = 11.2

Step-by-step explanation:

Δ AYZ and Δ ABCare similar by the AA postulate

then the ratios of corresponding sides are in proportion , that is

[tex]\frac{AY}{AB}[/tex] = [tex]\frac{AZ}{AC}[/tex] ( substitute values )

[tex]\frac{7}{7+YB}[/tex] = [tex]\frac{15}{15+24}[/tex] = [tex]\frac{15}{39}[/tex] ( cross- multiply )

15(7 + YB) = 7 × 39 = 273 ( divide both sides by 15 )

7 + YB = 18.2 ( subtract 7 from both sides )

YB = 11.2

The length of YB would be; 11.2

We know that proportion is a fraction of a total amount, and the measures are related using a rule of three.

Since Δ AYZ and Δ ABC are similar by the AA postulate

Then the ratios of corresponding sides are in proportion , that is

AY/AB = AZ/AC

cross- multiply ;

15(7 + YB) = 7 × 39 = 273

7 + YB = 18.2

Hence, YB = 11.2

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which measure of center can you most accurately estimate from this information: Median

The median divides the data into equal-sized groups. So approximately 50% of the data is above the median and approximately 50% of the data is below the median.

Calculating the median

The median is the value in a data set, implying that half of data focuses have a value more modest or equivalent to the median and half of data focuses have a value higher or equivalent to the median.

For a little data set, you first count the quantity of data focuses (n) and organize the data focuses in expanding request. Assuming the quantity of data focuses is lopsided, you add 1 to the quantity of places and separation the outcomes by 2 to get the rank of the data point whose value is the median.

The rank is the place of the data point after the data set has been organized in expanding request: the smallest value is rank 1, the second-smallest value is rank 2, and so forth.

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the complete question is:

The dotplot above shows the distribution of calf measurements for 507 adults who attend a local gym. The data is divided into equal-sized subgroups with 25% of the adults in each subgroup.

Which measure of center can you most accurately estimate from this information?

1. mean

2. median

Summary statistics, especially the mean and covariance of the two variables, can be used to find the regression equation.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

Here,

In simple linear regression with one independent variable (x) and one dependent variable (y), the regression equation can be expressed as:

y = β0 + β1x

where β0 and β1 are the regression coefficients. The coefficients can be estimated using the following formulas:

β1 = covariance(x, y) / variance(x)

β0 = mean(y) - β1 * mean(x)

Here, covariance(x, y) is the covariance between the two variables, variance(x) is the variance of the independent variable x, mean(x) and mean(y) are the means of x and y, respectively.

These formulas assume that the data has been standardized (mean = 0, variance = 1) for convenience, but the results can be easily transformed back to the original scale by using the actual mean and variance of the data.

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A predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

Thus, a predetermined formula known as "Functions" that performs computations using specified values inside a particular arrangement or structure.

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The factors of the polynomial are (x + 1)(x - 3).

A polynomial is an algebraic expression.

A polynomial of degree n in variable x can be written as,

a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.

The upper side of the tiles shows the expression (x + 1), and the left side shows the expression (x - 3).

In both cases, you have to consider how many + x or - x is (one +x in one case and three -x in the other case).

If you multiply the factors, you get,

(x + 1)(x - 3) = x² - 3x + x - 3  

(x + 1)(x - 3) = x² - 2x - 3 .

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The equation to model the price based on the size of the pack can be written as p = 0.25t, where p is the price and t is the size of the pack.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given that the cost of cherry tomatoes as,

Cost of 12 pack = $3

Cost of 16 pack = $4

Cost of 24 pack = $6

......

Cost of 1 pack = 3/12 = 4/16 = 6/24 = $0.25

Let t be the size of the pack and p be the price.

p = 0.25t

Hence the equation representing the price is p = 0.25t.

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The correct answer is option 1. The version of the sample variance where you divide by n is biased.

This is because dividing by n will produce a biased downward population variance estimate. We must divide by n-1 rather than n to correct this bias. Mathematically, this can be expressed as:

Population Variance = s2 = ∑ (x - μ)2 / n Sample Variance = s2 = ∑ (x - x(bar))2 / (n-1)

In other words, we must subtract 1 from the sample size in the denominator when calculating the sample variance. This is due to the fact that the sample variance and the sample mean are both unbiased estimators of the population variance, respectively.

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Complete Question:

which of the following statements is true?

group of answer choices

Answer: $1,393.00

Step-by-step explanation: