Carlos is five years older than twice his sister's age. Carlos is 13.

Which equation and solution correctly identifies his sister's age?

A.) 2 x + 5 = 13; x = 4
B.) 2 x - 5 = 13; x = 9
C.) 2 x - 5 = 13; x = 4
D.) 2 x + 5 = 13; x = 9
this is a multiple choice answer

The statement that is true about Natalie inspecting the process of bagging potato chips to ensure that the bags being produced have 24.00 ounces and sampling 5 bags at random every hour starting at 9 am until 4 pm and measure the weights of those bags, which means every work day, she collects & samples with 5 bags each and inspects these 40 bags is that the sample size is 40.

The sample size is the total number of bags that are being produced, which is 40 bags. In statistical quality control, the sample size refers to the number of bags being inspected or observed to obtain information about the population of bags produced. The sample size must be sufficient to make valid conclusions about the process. Hence, the statement that is true is option c. The sample size in 40. Natalie wants to know the control charts that are recommended for the bagging process. The control charts that are recommended for the bagging process are X-bar and R control charts. Therefore, the answer is option a. X-bar and R. The X-bar and R control charts are used to control variables that are measured in subgroups. They are used to plot the means and ranges of subgroup data and help to determine whether the process is in control or out of control. The X-bar chart is used to monitor the process mean, and the R chart is used to monitor the process variation.

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A triangle is dilated with the center of dilation at point U. Point E is a vertex of the triangle and point E ’ is the corresponding vertex of the image. If UE = 2 centimeters and UE ’ = 10 centimeters, the scale factor is 5 cm

Scale Factor Definition

A scale factor in math is the ratio between corresponding measurements of an object and a representation of that object. If the scale factor is a whole number, the copy will be larger. If the scale factor is a fraction, the copy will be smaller.

By definition, a Dilation is a transformation in which the image has the same shape as the pre-image but size changes.

The center of dilation is a fixed point in the plane, and the scale factor is the ratio of the corresponding sides of the image to the pre-image.

Scale Factor In Geometry

Scale is used in geometry to make accurate reproductions of figures; they are different sizes, but same proportions. Figures are similar but to scale.

Based on the information provided in the exercise, you know that:

UE = 2 centimeters

UE ’ = 10 centimeters

Therefore, you can determine that the scale factor is:

The scale factor for scaling up is a ratio greater than 1

The scale factor for scaling down is a ratio of less than 1

.

Scale factor :  10/2 = 5

Scale factor = 5 cm

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The center of dilation for a triangle is located at point U. The image's point E' corresponds to point E, which is the vertex of the triangle. The scale factor is 5 cm if UE = 2 centimeters and UE'= 10 centimeters.

Define Scale Factor

The ratio between comparable measurements of an object and a representation of that object is known as a scale factor in mathematics. The copy will be larger if the scaling factor is a whole number. A fractional scaling factor means that the duplicate will be smaller.

A dilation is, by definition, a transformation in which the size of the image changes but the shape remains the same as the pre-image.

The scale factor is the ratio of the corresponding sides of the image to the pre-image, and the center of dilatation is a fixed point in the plane.

Considering Scale in Geometry

In geometry, scale is utilized to create correct figures that have varying sizes but the same proportions. Similar but scaled figures are shown.

You are aware of the following thanks to the material in the exercise:

2 centimeters equals UE.

10 centimeters equals UE'.

Therefore, you can determine that the scale factor is:

The scale factor for scaling up is a ratio greater than 1

The scale factor for scaling down is a ratio of less than 1

Scale factor :  10/2 = 5

Scale factor = 5 cm

Answer:

D.3x+y+35

Step-by-step explanation:

Just took test

Answer:

D.3x+y+35

Step-by-step explanation:

Answer:

The angle of DGC is 90 degrees

the value of x is positive 8

Step-by-step explanation:

xoxo brooke

Answer:

Yes

Step-by-step explanation:

It is a straight line so no x values repeat

Answer:

Yes it is

Step-by-step explanation:

You can prove this is a function using the vertical line test. You have to graph y= -x+11 and do the vertical line test. As long as it doesn't interfere with the line more than once, than it is a function.

10x - 3 = 3x +5

10x - 3x = 5 +3

7x = 8

x = 8/7

so the value of x is 8/7

Answer:

the x is 90

Part 1) The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid

Part 2) The dimensions of this surface are 6 in x 6 in

Part 3) Molly needs to paint 228 square inches

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Which surface is shared by the two solids?

we know that

The surface that is shared by the two solids is the top of the cube that is the same that the square base of the pyramid

Part 2)  What are the dimensions of this surface?

The surface is a square with side length 6 inches

so

The dimensions of this surface are 6 in x 6 in

Part 3) what is the area molly needs to paint?

we know that

The area that Molly needs to paint is equal to the surface area of the cube plus the surface area of the pyramid minus two times the area of the surface that is shared by the two solids

so

therefore

Molly needs to paint 228 square inches

i hope this helps you

Answer:

8lbs

Step-by-step explanation:

5 pies = 2lbs

multiply both by 4 because you're making 4 times as many pies so

5x4=20

2x4=8

so she will need about 8 lbs of blueberries

Answer:

3118/35 or 89.0857142

Step-by-step explanation:

convert 86.8 to fraction form which is 86 4/5 or 434/5 and add 16/7 by making the denominator same.

Solution

Transform figure using the rule (x , y) = (-x , y - 8)

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

To determine if the given vectors form a fundamental set of solutions on the interval (-∞, ∞) for the system ′ = , we need to check if they are linearly independent. If they are linearly independent, they form a fundamental set of solutions, and the general solution can be obtained by taking linear combinations of these vectors.

To determine if the vectors form a fundamental set of solutions, we need to check if they are linearly independent. If they are linearly independent, it means that no vector can be expressed as a linear combination of the others.

Let's denote the given vectors as v1, v2, ..., vn. We can create a matrix A by placing these vectors as its columns. If the determinant of A is non-zero, the vectors are linearly independent, and they form a fundamental set of solutions.

If the vectors are linearly independent, the general solution to the system is given by the linear combination of these vectors, where the coefficients can be any constants. Each solution can be expressed as a linear combination of the vectors, and the general solution represents all possible solutions to the system.

On the other hand, if the vectors are linearly dependent, they do not form a fundamental set of solutions. In this case, additional vectors are needed to form a complete set of solutions.

By determining the linear independence of the given vectors, we can conclude whether they form a fundamental set of solutions and obtain the general solution accordingly.

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The volume of the object is 9.771 cubic meters.

The volume of a 4422 kg object with a density of 452 kg/m³ can be calculated using the formula: volume = mass / density. In this case, the volume is equal to 4422 kg divided by 452 kg/m³.

To find the volume of the object, we can use the formula: volume = mass / density. Given that the mass of the object is 4422 kg and the density is 452 kg/m³, we can substitute these values into the formula.

volume = 4422 kg / 452 kg/m³

To divide these quantities, we need to convert the units to match. The density is given in kg/m³, so we keep it as it is. The mass is given in kg, which is already in the correct unit.By dividing the mass (4422 kg) by the density (452 kg/m³), we can determine the volume of the object. The resulting value will have the unit cubic meters (m³), representing the volume.

Performing the calculation:

volume = 4422 kg / 452 kg/m³ = 9.771 m³

Therefore, the volume of the object is 9.771 cubic meters.

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Using the volume x³ + 10x² + 19x  - 30, the missing side of the rectangular prism is (x + 6)

Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x  - 30.

Let's find the missing side of the rectangular prism.

Therefore,

volume of a rectangular prism = lwh

where

Therefore,

volume of the prism = x³ + 10x² + 19x  - 30

Let's factorise it to find the missing side length

x³ + 10x² + 19x  - 30  = 0

(x - 1)(x² + 11x + 30)

let's factorise x² + 11x + 30

x² + 11x + 30

x² + 5x + 6x + 30

x(x + 5) + 6(x + 5)

(x + 6)(x + 5) = 0

Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)

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Answer:

the perimeter is 11cm and the area is 7cm^2

Step-by-step explanation:

NP =PS, meaning they have the same length. so the perimeter is 3.5 + 4 + another 3.5.

For the area imagine you cut the triangle in half. from P to the middle of NS. Put the 2 triangle halves together to form a rectangle. (PS is now touching NP). This would be a 2x 3.5 rectangle. 2x 3.5 is 7, meaning both this imagined rectangle and the triangle have an area of 7cm^2.

Answer:

the last one

Step-by-step explanation:

Answer:

b gang

Step-by-step explanation:

Answer:

x= -3/2

Step-by-step explanation:

Given

1/4+1/2+x=-3/4

=> x= -3/4-1/4-1/2

take LCM

=> x= (-3-1-2)/4

=>. x=-6/4

simplify

=> x=-3/2

Answer:

  B.  False

Step-by-step explanation:

You want to know if it is true that when each of seven persons in a group shakes hands with each of the other six persons, a total of forty-two handshakes occurs.

The count of 42 handshakes includes every one of 7 shaking hands with each of the remaining 6, without regard to whether they met before.

The count will include A shaking hands with B, and B shaking hands with A. That handshake will be counted twice, so the number 42 overstates the actual number of handshakes by a factor of 2.

It is false that there will be 42 handshakes. (There will be only 21.)

The given citation is a reference to a research paper titled "Progressive Strategies for Monte-Carlo Tree Search" by Chaslot, G., Winands, M., Herik, H., Uiterwijk, J., and Bouzy, B.

The paper was published in the journal "New Mathematics and Natural Computation" in November 2008.

Here are the details of the citation:

Authors: G. Chaslot, M. Winands, H. Herik, J. Uiterwijk, and B. Bouzy

Title: Progressive Strategies for Monte-Carlo Tree Search

Journal:

Year: 2008

Volume: 04

Pages: 343–357

DOI: 10.1142/s1793005708001094

The DOI (Digital Object Identifier) provided is a unique identifier for the paper and can be used to access the paper online, usually through a database or publisher's website.

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Answer:

-6-8x

Step-by-step explanation:

distribute and multiply

Answer:

-6-8x

Step-by-step explanation:

Answer:

i need more information

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

7060                                                                                                         Step-by-step explanatiojo:

According to the information the correct match would be: 3 1/2 - This is a rational number, but not an integer, 0.56 - This is a rational number, but not an integer, 5 - This is an integer, Square root of 11 - This is an irrational number, -3 1/2 - This is a rational number, but not an integer.

To determine the type of number, we need to understand the properties of each number.

3 1/2 can be expressed as the fraction 7/2, which is a rational number (a number that can be expressed as a fraction), but not an integer (a whole number without a fractional or decimal part).

0.56 is a rational number as it can be expressed as the fraction 28/50, but it is not an integer as it has a decimal part.

5 is an integer because it is a whole number without any fractional or decimal part.

The square root of 11 is an irrational number since it cannot be expressed as a fraction or a terminating or repeating decimal.

-3 1/2 can be expressed as the fraction -7/2, which is a rational number (a number that can be expressed as a fraction), but it is not an integer (a whole number without a fractional or decimal part).

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The probability that the sweet is yellow will be;

⇒ 9 / 25

The term probability refers to the likelihood of an event occurring.

Given that;

There are 25 sweets in a jar.

And, 9 of the sweets are yellow.

Now,

Since, Jamie takes at random a sweet from the jar.

Hence, The probability that the sweet is yellow = 9/25

                                                                          = 0.36

Thus, The probability that the sweet is yellow = 0.36

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7.36 for each cap

$36.80 is the cost for 5 caps. if we divide the cost of the pack to the individual number of idems (caps), the equation (36.80÷5) will come out to $7.36, meaning $7.36 is the cost for each individual cap.

I did not get Your Question Probably But the way I see it the answer is:

The equation of a circle with center (h, k) and radius r can be written as:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6). To find the radius, we can use the distance formula between the center and the given point (-√28, 3):

r = √((x₂ - x₁)^2 + (y₂ - y₁)^2)

Plugging in the values:

r = √((-√28 - 0)^2 + (3 - (-6))^2)

Simplifying:

r = √(28 + 81)

r = √109

Therefore, the equation of the circle with center (0, -6) and containing the point (-√28, 3) is:

(x - 0)^2 + (y + 6)^2 = (√109)^2

Simplifying further:

x^2 + (y + 6)^2 = 109

Answer:

The equation of the circle with center (0, -6) containing the point (-√28, 3) is x^2 + (y + 6)^2 = 109.

Step-by-step explanation:

The equation of a circle with center (h, k) and radius r is given by the formula:

(x - h)^2 + (y - k)^2 = r^2

In this case, the center of the circle is (0, -6), which means that h = 0 and k = -6. We also know that the circle contains the point (-√28, 3), which means that this point is on the circle and satisfies the equation above.

To find the radius r, we can use the distance formula between the center of the circle and the given point:

r = sqrt((0 - (-√28))^2 + (-6 - 3)^2) = sqrt(28 + 81) = sqrt(109)

Substituting h, k, and r into the equation of the circle, we get:

x^2 + (y + 6)^2 = 109

Therefore, the equation of the circle is x^2 + (y + 6)^2 = 109.

The probability mass function of the discrete random variable x is:

p(x = -2) = 1/3

p(x = -1) = 1/6

p(x = 0) = 1/6

p(x = 1) = 1/6

p(x = 2) = 1/3

To determine the value of a, we first need to confirm that the probability mass function satisfies the two conditions of a valid probability mass function:

For this probability mass function, the possible values of x are -2, -1, 0, 1, and 2. Therefore, we can calculate the sum of probabilities as:

p ( x = -2 ) + p ( x = -1 ) + p ( x = 0) + p (x = 1) + p (x = 2)

= \(|(-2)| \times a + |(-1)| \times a + |0| \times a + |1| \times a + |2| \times a\)

= 2a + a + 0 + a + 2a

= 6a

To satisfy the first condition of a valid probability mass function, the sum of probabilities must be equal to 1. Therefore, we can set up the equation:

6a = 1

a = 1/6

Thus, the value of a that satisfies the conditions of a valid probability mass function is a = 1/6. Therefore, the probability mass function of the discrete random variable x is:

p(x = -2) = 1/3

p(x = -1) = 1/6

p(x = 0) = 1/6

p(x = 1) = 1/6

p(x = 2) = 1/3

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No as their no difference in Mr. Goodman's evaluation and the History department

What is Statistics ?

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

descriptive statistics types in mathematics The data in this type of statistics is summarized using the provided observations. Statistics that are inferential. To interpret the meaning of descriptive statistics, this kind of statistics is employed. Example of Statistics.

Seeing the data we can conclude that their no difference in Mr. Goodman's evaluation and the History department

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