5. Write the equation of the line shown.
Y=________

The transformation rule used to transform Triangle PQR to P'Q'R' is; (x, y) → (⁵/₂x, ⁵/₂y)

We are given from the question that the triangle P'Q'R' was transformed from the triangle PQR.

We see from the image that the coordinates of the original triangle PQR are;

P(-1, 1)

Q(2, 0)

R(-1, -2)

We also see that the coordinates of the transformed triangle P'Q'R' are;

P(-5/2, 5/2)

Q(5, 0)

R(-5/2, -5)

Thus, we can conclude that the transformation rule used here is;

(x, y) → (⁵/₂x, ⁵/₂y)

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Answer: -3

Step-by-step explanation: Used calculator

Lower Limit = 24.52

Upper Limit = 36.28

Error Bound = 5.88

Lower Limit: - The Lower Limit for every class is the smallest value in that class. For example: 5 is a lower lower limit for the set S= { 5,8,42,34}

Upper Limit: - A value that is greater than or equal to every element of a set of data. For example: - { 3,5,11,20,22} is a upper bound of 22.

Given that,

Population Mean,μ = 33.2

sample Mean, χ (x bar) = 30.4

sample Size, n = 25

α (Alpha) = 0.05

Population standard deviation,σ = 15

95% confidence interval:

μ ± z critical σ / √n

Putting the values, we get,

z critical at α0.05 = ± 1.96

30.4 ±1.96( 15/√25) = 30.4 ± 5.88 = (24.52,36.28)

a) Lower Limit = 24.52

b) Upper Limit = 36.28

c) Error Bound =

Margin of Error = z critical × σ /√n

                         =  1.96 × 15/√25

                          = 1.96  × 15/5

                          = 5.88

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The expression can be written without negative exponents as 64xy²

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6. This can be written as 6⁴. Here, 4 is the exponent and 6 is the base.

Simplifying exponents is a method of simplifying the algebraic expressions involving exponents into a less complex form in a way that they cannot further be reduced. There are methods in algebra for simplifying exponents with different and same bases that we can use.

Steps to solving basic problems like this are;

Step 1

remove parentheses by multiplying factors.

Step 2

use exponent rules to remove parentheses in terms with exponents.

Step 3

combine like terms by adding coefficients.

Step 4

combine the constants.

In this case, we have an expression;

8√x²y⁴ which can be rewritten without using the square.

8√x²y⁴ = 64xy²

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2/5 fraction as a decimal is 0.4.

Any number that is expressed as a fraction has two components, the numerator and the denominator. Typically, we divide the numerator by the denominator to convert a fractional number to decimal form. The formula p/q, where q=0, is used to denote fractions. While the decimal numbers, such as 7.575, are created by joining the entire number and fractional parts with a decimal point. 

There are two methods to convert fraction to decimal which are given below:

For 2/5

We will divide them as mentioned above,

2/5 = 0.4

Hence, 2/5 is equal to 0.4 in decimal form.

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Answer:

x=246 or x=-266

Step-by-step explanation:

First you bring 12x to the other side and simplify to give

x²+20x+116=0

Then solve by completing the square:

(x+10)²-100+116=0

(x+10)²+16=0

(x+10)²=-16

x+10=±256

x=±256-10

x=246 or x=-266

Hope this helps

neverminding the jumbled wording

how much is 20% of 40?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 40}}{\left( \cfrac{20}{100} \right)40}\implies 8[/tex]

Systematic errors are consistently in the same direction

In contrast , random errors produce different values in random directions

Random error causes a slight difference of one measurement to from the next. It is quite unpredictable in it's variation during an experiment.

Systematic error always affects measurements by the same proportion, provided that a reading is taken the same way each time. It is predictable

An example that illustrates this difference are

Systematic errors are consistently in the same direction

for example they are always 50g , 1% or 99 mm too large or too small

In contrast , random errors produce different values in random directions

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Answer:

=========================

The smaller figure is added, considering the coordinates of the image follow the rule:

Smaller stage is in blue. See attached

Since each side is half the original, the perimeter of the image is half the larger one:

The slope of origin (0, 0) with (1, 31); (5, 155), and (9, 279) is 31

The slope of a line will indicate the direction and steepness. It is also defined as the change in the y-coordinate for a corresponding change in the x-coordinate.  

Slope of a line with given points (x₁, y₁) and (x₂, y₂) is  

Here we have

Points (1, 31) (5, 155) and (9, 279)

We need to find slopes between two points

As we know the formula for slope with given points is

Slope, m = (y₂ -y₁) /(x₂-x₁)

Here coordinates of the origin are (0, 0)

The slope between (0, 0) and (1, 31)

=> m =  (31 - 0) /(1 - 0)  = 31/1 = 31

The slope between (0, 0) and (5, 155)

=> m =  (155 - 0) /(5- 0)  = 155/5 = 31

The slope between (0, 0) and (9, 279)

=> m =  (279 - 0) /(9 - 0)  = 279/9 = 31        

Therefore,

The slope of origin (0, 0) with (1, 31); (5, 155), and (9, 279) is 31

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The total cost of the cosmetics including 2% processing fee rounded up to the nearest cent is $26.27

The cost of the cosmetics is $25.75

The 2% processing fee is calculated as follows:

2/100 × $25.75 = $ 0.515

The total cost including processing fee is $25.75 + $ 0.515 = $26.265 rounded up to $26.27

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Answer:

y = x - 12

Step-by-step explanation:

slope = (-9 - (-5))/(3 - 7) = -4/(-4) = 1

y = mx + b

y = x + b

-5 = 7 + b

b = -12

y = x - 12

980g of sulphuric acid (H₂SO₄) is needed to prepare 5.0L of a 2M solution.

So, the grams of H₂SO₄ needed will be:

Therefore, 980g of sulphuric acid (H₂SO₄) is needed to prepare 5.0L of a 2M solution.

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Answer:

answers found in pdf

Step-by-step explanation:

mathaway will help check your answers that what I did.

El precio final, esto es, el precio con descuento, del bolso es igual a $ 36.000.

En este problema debemos determinar el precio final de un bolso (C') adquirido por un cliente con descuento, igual al precio original (C) menos el descuento, descrito en la siguiente fórmula:

C' = C · (1 + r / 100)

Donde r es la tasa de descuento. Nótese que existe descuento para 0 < r < 100.

Si sabemos que C = 40.000 y r = - 10, entonces el precio final del bolso es:

C' = 40.000 · (1 - 10 / 100)

C' = 36.000

El precio final del bolso es igual a $ 36.000.

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The compound interest earned by Evelyn in one year is $9.

Evelyn has a bank account. She deposited $90 in her account. She earns 10% interest on her deposited money. The interest earned is compounded annually. We need to calculate the interest earned by her in one year, to the nearest cent.

We need to calculate the compound interest. The formula is given below.

B = p(1 + r)^t

The variables 'B', 'p', 't', and 'r' represent the final amount, the initial amount, the time duration, and the rate of interest, respectively.

B = $90(1 + 0.1)^1

B = $90*1.1

B = $99

The final amount in her bank account after one year is $99. The interest earned is the difference between the final and the initial amount. Let the variable 'I' represent the interest earned.

I = B - p

I = $99 - $90

I = $9

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Answer:

y=4/3x +7

Step-by-step explanation:

4x - 3y = -21

Move 4x to the other side

-3y = -21 -4x

Next divide the other side by -3

y= 7 +4/3x

Move numbers around

y = 4/3x + 7

Answer: hi

Step-by-step explanation:

Answer:

1) 1.96

2) 6

3) 4/3

Step-by-step explanation:

think of exponents as repeated multiplication. the exponent is how many times you're going to multiply the number itself by.

1) [tex]1.4^{2}[/tex] is really just 1.4 * 1.4, which you can solve by long multiplication or a calculator to get 1.96

2) for this one, you can rewrite the expression as a fraction. you'll also want to use PEMDAS, starting with the parentheses

[tex]\frac{300}{ 2(0.5+4.5)^{2}}\\\\\frac{300}{2*(5)^2}\\\\\frac{300}{2*25} \\\\\frac{300}{50} = 6[/tex]

3) [tex](\frac{1}{2})^{3} = \frac{1}{2} *\frac{1}{2} *\frac{1}{2} = \frac{1}{8} \\[/tex]

you can rewrite the division as a fraction again, only this time. you can change the subtraction to the reciprocal of the denominator

[tex]\frac{1}{3} / (2*\frac{1}{8} )= \frac{1}{3} / \frac{1}{4} = \frac{1}{3} * 4 = \frac{4}{3}[/tex]

hope this helped!

Caroline would have $36 more money in her account than Jaxon.

From the question, we have

Caroline amount,

A = P* e^rt

= 900*e^(71*8)/800

= 900*e^(71/100)

=$1830.59

Jaxon amount,

A = P* e^rt

= 900*e^(69*8)/800

= 900*e^(69/100)

=$1794.34

Difference = $1830.59 - $1794.34

= $36.25

= $36 ( to the nearest dollar)

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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The possible numbers of additional miles that Lamar can run are all the solutions of the inequality:

0 ≤ x ≤ 15

We know that Lamar will run at most 37 miles this week, and he already did run 22 miles, then the (maximum) distance left this week is:

D = 37mi - 22mi = 15mi

So he can run at most 15 miles, this means that he can run any distance between 0 miles and 15 miles by the end of the week.

So, if we define x as the distance that he will run on the week (in miles), then we can write the inequality:

0 ≤ x ≤ 15

so the possible numbers of additional miles he will run on this week are all the values of x that are a solution for the above inequality.

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The price range of the Chevrolet HHR retro will be $14,500.

The range of the data is defined as the difference between the maximum value of data and the minimum value of the data.

The given data as:

$8,500, $8,500, $8,500, $9,900, $10,800, 10,800, 11,000, 12,500, $12,500, $13,000, 13,000, $14,500, and $23,000

According to the given information, the required solution would be as:

The maximum value of data = $23,000

The minimum value of data = $8,500

The range of the data = The maximum value of data - The minimum value of data

Substitute the values in the above formula,

The range of the data = 23,000 - 8,500

Apply the subtraction operation to get the answer

The range of the data = 14,500

Therefore, the price range of the Chevrolet HHR retro will be $14,500.

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The question seems to be incomplete the correct question would be:

Mitzi looked up prices of thirteen used Chevrolet HHR retro" tracks in the classified ads and found these prices: 8,500, 8,500, 8,500, 9,900, $10,800, 10,800, 11,000, 12,500, $12,500, $13,000, 13,000, $14,500, and $23,000. Find the range of the data.

Answer:

6(2x - 1)

Step-by-step explanation:

Just look up the answer on the calculator

Answer:

To find the rate of change in a table, the same process applies:

Step-by-step explanation:

1. Find the coordinates of the given points. It's optional to label them.

2. Find the difference between the output values.

3. Find the difference between the input values.

4. Calculate the ratio between the change in y to the change in x: ΔyΔx.

Answer:

145 degrees

Step-by-step explanation:

The side through L is at a 35 degree angle, and the side through N is at a 180 degree angle. Taking the difference, we get 145 degrees.

Answer:

2.5x

Step-by-step explanation:

Given information for width:

Model: 10 in.

Real: 25 in.

Solve: How much times wider is real than model?

To find this, lets divide 25in. by 10in to find the scale factor.

25/10 = 2.5

2.5

We can verify this by multiplying 10 by 2.5

10 x 2.5 = 25

Answer:

also called a tariff.

Step-by-step explanation:

Please give the brainliest.

Answer:

you will need to go 80 km per hr

Step-by-step explanation: