Polygon ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to create polygon A′B′C′D′. If the endpoints of line segment AB are located at (0, -7) and (8, 8), what is the length of line segment A'B' ? Use the distance formula to help you decide: PLEASE HELP!!!

When the process of observing or measuring yields results that consistently deviate in some way from the true value, this is known as observer/measurement bias. Because of the systematic mistake this adds into the data, the conclusions are incorrect or unreliable.

Observer/measurement bias is a sort of systematic error that happens when the technique used for observation or measurement yields results that consistently deviate in some way from the true value. The observer's own preconceived ideas or expectations, the measurement equipment, and the environment in which the observation or measurement is being conducted can all contribute to this form of bias.An observer's bias, for instance, could cause them to see or measure something in a way that favours one particular result or outcome over another. Similar to how external influences like noise, light, or temperature can skew results, the environment in which the observation or measurement is taking place may add a bias. If feasible, results that are inaccurate or unreliable because of observer/measurement bias should be avoided because they can lead to incorrect inferences about the data.

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Answer:

C)   4(5c -2d)

Step-by-step explanation:

You would need to find the greatest commen factor in the equation.

it would end up being 4 since it is the biggest number that can divide between 8 and 20.

20/ 4 = 5

8/4 = 2

so you would leave the varibles since you can't take them out and put 4 on the outside of the parantheses.

4(5c -2d)

Answer:

Option C:   4(5c -2d)

Step-by-step explanation:

Have a nice day! :-)

Answer:

The chemical element loses 4% of its weight everyday

Step-by-step explanation:

Here, we are interested in knowing the percentage weight loss of the chemical each day.

The key to answering this is looking at the expression inside the bracket.

We can express M(t) = 169•(0.96)^t as

M(t) = 169•(1-0.04)^t

So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here

Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%

Answer:

0.96

Step-by-step explanation:

The exponential function modeling the mass of the sample is of the form M(t)=A⋅Bt. Therefore, AAA determines the initial mass of the sample (when Clemence began studying it) and BBB determines the daily change in the mass of the sample.

The mass of the sample is multiplied by \it{0.96}0.960, point, 96 every day. Since 0.96<10.96<10, point, 96, is less than, 1, the mass of the sample shrinks by a factor of 0.960.960, point, 96 every day.

Every day, the mass of the sample shrinks by a factor of 0.960.960, point, 96.

The measure of angle A in a right triangle with base 5 cm and hypotenuse 10 cm is approximately 38.21 degrees.

We can use the inverse cosine function (cos⁻¹) to find the measure of angle A, using the cosine rule for triangles.

According to the cosine rule, we have:

cos(A) = (b² + c² - a²) / (2bc)

where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively. In this case, we have b = 5 cm and c = 10 cm (the hypotenuse), and we need to find A.

Applying the cosine rule, we get:

cos(A) = (5² + 10² - a²) / (2 * 5 * 10)

cos(A) = (25 + 100 - a²) / 100

cos(A) = (125 - a²) / 100

To solve for A, we need to take the inverse cosine of both sides:

A = cos⁻¹((125 - a²) / 100)

Since this is a right triangle, we know that A must be acute, meaning it is less than 90 degrees. Therefore, we can conclude that A is the smaller of the two acute angles opposite the shorter leg of the triangle.

Using the Pythagorean theorem, we can find the length of the missing side at

a² = c² - b² = 10² - 5² = 75

a = √75 = 5√3

Substituting this into the formula for A, we get:

A = cos⁻¹((125 - (5√3)²) / 100) ≈ 38.21 degrees

Therefore, the measure of angle A is approximately 38.21 degrees.

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Answer:

angle A measure 50 defree and angle B measure 40 degrees

The measurement of 10 mm on the plan represents an actual size of 20000 mm or 20 m (2000 x 10 mm).

Answer:

C. 1,120 cubic inches

Explanation:

To find the total volume, we will divide the solid as follows:

The edge with a length equal to 10 in was calculated as:

18 in - 8 in = 10 in

Because 18 in is the length of the largest height of the figure and 8 in is the length of the smaller height.

Now, the volume of a rectangular prism can be calculated as:

Volume = Length x Width x Height

So, the volume of solid 1 is equal to:

V₁ = 12 in x 4 in x 10 in

V₁ = 480 in³

In the same way, the volume of solid 2 is equal to:

V₂ = 20 in x 4 in x 8 in

V₂ = 640 in³

Therefore, the total volume of the solid is the sum of both parts. Then:

V₁ + V₂ = 480 in³ + 640 in³

V₁ + V₂ = 1120 in³

So, the answer is C. 1,120 cubic inches

Answer:

x-intercept = 12, y-intercept = 4

Step-by-step explanation:

To find the x and y intercept, substitute 0 in for both values.

Substitute 0 into x:

2(0) + 6y = 24

6y = 24

Divide each side by 6:

y = 4

Substitute 0 into y:

2x + 6(0) = 24

2x = 24

Divide each side by 2:

x = 12

Answer:

C, D, F

Step-by-step explanation:

Anything to the power of 0 is equal to 1

C because 1=1

D because 1 multiplied by itself is 1

F because, just like what I said, anything to the power of 0 is equal to 1

Answer:

48 weeks

Step-by-step explanation:

This is a division problem.

6 / (1/8) = 6/1 × 8/1 = 48

Answer: 48 weeks

El sistema de ecuaciones que permite obtener el precio por litro de los dos tipos de gasolina es 8x + 10y = 302.12 y 12x + 12y = 400.08​ (opción D)

Una ecuación es una expresión matemática que se caracteriza por representar una igualdad entre dos miembros separados por el signo igual. La ecuaciones incluyen elementos conocidos e incógnitas relacionados mediante operaciones matemáticas.

De acuerdo a lo anterior la respuesta correcta es 8x + 10y = 302.12 y 12x + 12y = 400.08​. Por que estas ecuaciones expresan matemáticamente los datos que se tienen y las incógnitas con las letras x y y.

Por ejemplo, la primera expresa que 8 (litros) por el precio del galón de gasolina Magnum (x), más 10 (litros) por el precio del galón de gasolina Premium (y) es igual a 302.12, que fue el precio total que pagó Carlos por la gasolina.

La segunda ecuación expresa que 12 (litros) por el precio del galón de gasolina Magnum (x) más 12 (litros) por el precio del galón de gasolina Premium (y) es igual a 400.08, que fue el precio total que Raquel pagó por la gasolina.

Esta pregunta está incompleta porque faltan las opciones e información sobre la gasolina. A continuación está la información completa y las opciones.

Carlos compró 8L de gasolina Magnum y 10 litros de gasolina premium por 302.12

Raquel compró 12L de gasolina Premium y 12L de gasolina magnum por 400.08

A) 8x + 12y = 302.12

10x + 12y = 400.08

B) 8x + 12y = 400.08

10x + 12y = 302.12

C) 8x + 10y = 400.08

12x + 12y = 302.12

D) 8x + 10y = 302.12

12x + 12y = 400.08​

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The circumference of the circle in terms of \(\pi\) is 4\(\pi\)\(x\) + 6\(\pi\), whose area is

4\(\pi\)\(x^{2}\) + 12\(\pi\)\(x\) + 9\(\pi\)

The formula of Area of Circle is \(\pi\)\(r^{2}\)

As given in question area of circle is  4\(\pi\)\(x^{2}\) + 12\(\pi\)\(x\) + 9\(\pi\)

so, we can say that

\(\pi\)\(r^{2}\) = 4\(\pi\)\(x^{2}\) + 12\(\pi\)\(x\) + 9\(\pi\)

by this we have to find the value of r,

\(\pi\)\(r^{2}\) = \(\pi\)(4\(x^{2}\) + 12\(x\) + 9)

\(r^{2}\) = \((2x)^{2} +3^{2} +2*2x*3\)  

by using this formula \((a+b)^{2} = a^{2} +b^{2} +2ab\), we get

\(r^{2}\) =\((2x+3)^{2}\)

\(r\) = \(2x+3\)  

by using the value of \(r\) i.e. radius for calculating the circumference of circle, we get

circumference of circle = 2\(\pi r\)

                                       = \(2\pi (2x+3)\)

                                        = \(\pi (4x+6)\)

                                        = 4\(\pi\)\(x\) + 6\(\pi\)

therefore, the circumference of the circle in form of \(\pi\) is 4\(\pi\)\(x\) + 6\(\pi\).

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The volume of an irregular object, such as garden soil, can be measured using the water displacement method. By measuring the amount of water displaced when the object is submerged, the volume of the irregular object can be determined.

To measure the volume of an irregular object like garden soil, the water displacement method is commonly used. First, obtain a known volume of water in a container and record its initial level. Then, carefully submerge the irregular object into the water, ensuring it is fully immersed. As the object displaces water, the water level in the container will rise. Record the final water level after the object is submerged.

To calculate the volume of the irregular object, subtract the initial water level from the final water level. The difference in water levels represents the volume of water displaced by the object. Since the object and the garden soil have the same volume, this displaced water volume is equal to the volume of the irregular object, i.e., the garden soil.

By employing the water displacement method, the volume of irregular objects like garden soil can be accurately measured, providing valuable information for various purposes such as gardening, construction, or scientific research.

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Answer:

0.3109725776

Step-by-step explanation:

By using calculator, we can easily find the value:

\(\tt \frac{\sqrt{13.7}}{3.05^2+2.6}=\boxed{0.3109725776}\)

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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Answer:

2

Step-by-step explanation:

The bars means absolute value so you would find the distance from zero, which is two. Also, anything with negatives in those bars changes to positive because you are calculating the distance from zero. The positive numbers should always stay the same.

Answer:

2

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between  

− 2  and  0  is  2

Step-by-step explanation:

a) (i) length = 2(pi)r = 2(3.14)(.5 m) = 3.14 m

(ii)3.14 m × ($4.70/m) = $14.76

b) A = (pi)r^2 = (3.14)(18 m)^2 = 1017.9 m^2

A type of article that provides a quantitative summary of the evidence is a systematic review and meta-analysis.

A systematic review is a comprehensive and rigorous approach to synthesizing existing research literature on a specific topic. It involves a systematic search for relevant studies, an assessment of their quality and relevance, and a synthesis of the findings.

A meta-analysis, on the other hand, is a statistical method that combines the results of multiple studies to generate a quantitative summary of the evidence.

Systematic reviews and meta-analyses are considered the highest level of evidence in evidence-based medicine and other fields. They provide an objective and rigorous assessment of the available evidence, helping to guide clinical practice, policy decisions, and further research.

By pooling data from multiple studies, meta-analyses can provide more precise estimates of treatment effects or other outcomes of interest.

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The numbers of questions answered correctly by various students on a 10-question quiz are an example of discrete numerical data. The correct answer is c.

Discrete numerical data refers to values that can only take on specific, separate, and distinct numerical values. These values typically represent counts or whole numbers and cannot be subdivided further.

In the context of the quiz, the number of questions answered correctly by students can only be whole numbers ranging from 0 to 10. Each possible value represents a distinct outcome and does not allow for intermediate values.

Discrete numerical data is different from continuous numerical data, which can take on any value within a certain range and allows for fractions or decimals. In the case of the quiz, if the scores were measured on a continuous scale (e.g., percentage), it would be considered continuous numerical data.

However, since the number of questions answered correctly is discrete and can only take specific values, it falls under the category of discrete numerical data. The correct answer is c.

Your question is incomplete but most probably your full question was

The numbers of questions answered correctly by various students on a 10 question quiz are an example of which type of data?

Neither

Discrete

Continuous

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Answer:

When you add polynomials, you combine only like terms together. When you multiply polynomials, you multiply all pairs of terms together.

Step-by-step explanation:

.

Answer:

adding, subtracting and multiplying polynomials are, basically, the same as adding, subtracting and multiplying numbers. They only difference is that we have a pesky variable to worry about

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Answer:

F(3,3)

Step-by-step explanation:

The coordinate of F is (3, 3).

Three vertices of parallelogram DEFG are D(0, 2), E(-1, 5), and G (4, 0).

Diagonals of a parallelogram bisect each other, meaning they divide each other into equal parts.

The formula is used to find the midpoints are as follows;

\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\)

Let (x, y) = coordinates of vertex F.

DF and EG are diagonals of parallelogram DEFG, therefore:

The midpoint of DF = midpoint of EG

Then,

The midpoint of D(0, 2) and F(x, y) is;

\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\dfrac{0+x}{2}, \ \dfrac{2+y}{2}\)

The midpoint of E(-1, 5) and G(4, 0) is;

\(\rm \dfrac{x_1+x_2}{2} , \ \dfrac{y_1+y_2}{2}\\\\\rm \dfrac{-1+4}{2} , \ \dfrac{5+0}{2}\\\\\dfrac{3}{2}, \dfrac{5}{2}\)

Comparing the equation;

\(\rm \dfrac{0+x}{2} = \dfrac{3}{2}\\\\\dfrac{x}{2} = \dfrac{3}{2}\\\\x=3\)

\(\rm \dfrac{2+y}{2} =\dfrac{5}{2}\\\\2+y =5\\\\y = 5-2\\\\y =3\)

Hence, the coordinate of F is (3, 3).

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Answer:

Step-by-step explanation:

11 \(\frac{1}{2}\) + \(\frac{5}{8}\)

make all the fractions an improper fraction

(11×2)+1/2 = 23/2

(3x5)+5/8 = 29/8

you need to make sure both fractions have a common denominator

to make 23/2 common with 5/8 you multiply 23/2 by 4/4

wich will make 92/8

continiue with the question

92/8 + 29/8= 121/8

simplify by dividing by 8 to get a mixed number

15 1/8

The definition of a reflection of rectangle ABCD is option D:

"Every point X on ABCD is mapped to a new point X' such that one coordinate of X' is the same as in X, and the other coordinate of X' is the opposite of the other coordinate in X".

When a reflection occurs, each point on the original shape is mapped to a new location on the reflected shape.

Option A states that every point X on ABCD is mapped to a new point X' such that each length from X to X' is the same. This definition does not capture the essence of a reflection because it doesn't consider the relationship between the original shape and its reflection.

Option B states that every point X on ABCD is mapped to a new point X' such that the distance from X to the line of reflection is the same as the distance from X' to the line of reflection.

Option C states that every point X on ABCD is mapped to a new point X' such that the coordinates of X' are opposites of the coordinates of X.

Option D correctly captures the nature of a reflection. This states that each point X on ABCD is mapped to a new point X' where one coordinate of X' is the same as in X, and the other coordinate of X' is the opposite of the other coordinate in X.

Therefore, option D is the valid definition of a reflection of rectangle ABCD.

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Step-by-step explanation:

so, from year 0 to year 1 after arrival the population grows by 5% (= factor 1.05).

as growth means the number of people before plus the additional 5%.

so, we multiply 15,400 by (1 + 0.05) or simply by 1.05.

and in year 2 after arrival we multiply that result again by 1.05.

which is the year 0 number multiplied by 1.05 × 1.05 or simply 1.05².

in year 3 after arrival that result gets multiplied by 1.05. or year 0 multiplied by 1.05×1.05×1.05 or simply 1.05³.

and so on, and so on.

so, we get an exponential function with starting value of 15,400 :

y = 15,400 × (1.05)^x

to calculate the local population x years after the arrival of the large company.

for x = 0 we get the starting value of 15,400.

Answer:

\( \sf b. \triangle \\ \sf \triangle \: is \: a \: polygon\)

Answer:

B

Step-by-step explanation:

A polygon can only have straight sides and no curves.

The only figure with straight sides is figure B, the triangle