B)When ABCD is drawn to scale, would
the lines AD and BC be parallel or not?
You must justify your answer without
using a scale drawing.

7x - 14 = 4x + 19

7x - 4x = 14 + 19

3x = 33

x = 11

The Perimeter of wall in inches is 4.724412 inches.

We have the Perimeter = 120 m

We know 1 m = 39.3701 inch

Then, the perimeter inches

= 39.3701 x 120

= 472.4412 inches  

and, 1 cm= 0.393701 inch

Then, perimeter

= 12 x 0.393701

= 4.724412 inches

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The interest rate would be = 8.9%

An interest rate is defined as the percentage of money that should be received by an individual for a particular period of time following an investment made.

The principal amount (p) = £9400

The simple interest = £11,907 - 9400 = 2507

The time given(T) = 3 years

The rate (R)= x%

The rate can be calculated from the formula of simple interest = P×T×R/100

make R the subject of formula;

R = 100×SI/P×T

R = 100× 2507/9400×3

R = 250700/28200

R = 8.89%

R= 8.9%

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The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

The most appropriate measure of center to represent the data in the given line plot is the mode.

The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:

There is one dot above 2, 4, 8, and 9.

There are two dots above 6 and 7.

There are three dots above 3.

Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.

The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.

While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.

Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.

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Answer: 27a8b2/3a-2b5

Step-by-step explanation:

Answer:

b for the first one and A for the second

Step-by-step explanation:

Answer:

well it seems the first one is B. The second one is A

Step-by-step explanation:

hope it helps

have a great day

The range of values for the correlation coefficient is - 1 to 1, inclusive is the correct answer.

Value is an important concept in economics, philosophy, and psychology. In economics, value is the amount of utility or satisfaction that an individual derives from a good or service. In philosophy, value is the worth or usefulness of something, based on its purpose. In psychology, value is the perceived importance of something that influences an individual's behavior. Value can also be seen as a measure of the worth of an object or action. Value is subjective and can differ from one person to another, depending on their beliefs and experiences. Value is also a key factor in decision-making and can help individuals make informed choices.

The range of values for the correlation coefficient is -1 to 1, inclusive. This means that the correlation coefficient can range from a perfect negative correlation (-1) to a perfect positive correlation (1).

Values in between those two extremes indicate a weaker correlation.

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The new coordinates of the vertices after dilating the triangle with a scale factor of 1/2 are: A: (1, 3), B: (-2, -2) and C: (0, -3).

To dilate a triangle in the coordinate plane, we multiply the coordinates of each vertex by the scale factor. In this case, the scale factor is 1/2. Let's calculate the new coordinates of each vertex.

Vertex A: (2, 6)

Multiplying the x-coordinate by 1/2: 2 * 1/2 = 1

Multiplying the y-coordinate by 1/2: 6 * 1/2 = 3

New coordinates of vertex A: (1, 3)

Vertex B: (-4, -4)

Multiplying the x-coordinate by 1/2: -4 * 1/2 = -2

Multiplying the y-coordinate by 1/2: -4 * 1/2 = -2

New coordinates of vertex B: (-2, -2)

Vertex C: (0, -6)

Multiplying the x-coordinate by 1/2: 0 * 1/2 = 0

Multiplying the y-coordinate by 1/2: -6 * 1/2 = -3

New coordinates of vertex C: (0, -3)

The dilated triangle is smaller than the original triangle, with each side length being half the length of the corresponding side in the original triangle.

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There are 4,377 different ways to distribute the 96 children into groups, with each group having a minimum of 5 children and a maximum of 20 children. (By division)

To determine the number of ways to distribute the 96 children into groups, we need to find the number of divisors of 96 that are between 5 and 20.

First, let's find the divisors of 96. The divisors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.

Next, we need to consider the divisors that fall within the range of 5 to 20. In this case, the divisors are 6, 8, 12, and 16.

Now, we can calculate the number of ways to distribute the children into groups using the divisors:

For each divisor, we divide the total number of children (96) by the divisor to determine the number of groups.

Number of ways = Number of groups = Total number of children / Divisor

For the divisor 6: Number of groups = 96 / 6 = 16 groups

For the divisor 8: Number of groups = 96 / 8 = 12 groups

For the divisor 12: Number of groups = 96 / 12 = 8 groups

For the divisor 16: Number of groups = 96 / 16 = 6 groups

Finally, we sum up the number of ways for each divisor:

Number of ways = Number of ways for divisor 6 + Number of ways for divisor 8 + Number of ways for divisor 12 + Number of ways for divisor 16

= 16 + 12 + 8 + 6

= 42

Therefore, there are 42 different ways to distribute the 96 children into groups, with each group having a minimum of 5 children and a maximum of 20 children.

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To find the volume v of the described solid s, a cap of a sphere with radius r and height h, the formula to be used is:v = (π/3)h²(3r - h)First, let's establish the formula for the volume of the sphere. The formula for the volume of a sphere is given as:v = (4/3)πr³

A spherical cap is cut off from a sphere of radius r by a plane situated at a distance h from the center of the sphere. The volume of the spherical cap is given as follows:V = (1/3)πh²(3r - h)The volume of a sphere of radius r is:V = (4/3)πr³Substituting the value of r into the equation for the volume of a spherical cap, we get:v = (π/3)h²(3r - h)Therefore, the volume of the described solid s, a cap of a sphere with radius r and height h, is:v = (π/3)h²(3r - h)The answer is  more than 100 words as it includes the derivation of the formula for the volume of a sphere and the volume of a spherical cap.

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A set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

What is a combination of reflections?

Combination of Two Reflections. A point or object once reflected can further be reflected to form a new image. The axes of these reflections may be parallel to each other or they intersect each other at a point.

Given the coordinates of hexagon ABCDEF, it can be determined that a set of reflections that would carry the hexagon onto itself would be a combination of reflections over the x-axis and y-axis.

One possibility would be to reflect over the x-axis, then reflect over the y=x line, and finally reflect over the x-axis again.

This would take the hexagon from its original position to itself.

Another possibility would be to reflect over the y = x line, then reflect over the x-axis, and finally reflect over the y-axis.

This would also take the hexagon from its original position to itself.

Hence, a set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

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Discouraging consumers from purchasing products from an insurer is referred to as "consumer dissuasion." It involves implementing strategies or tactics to dissuade potential customers from choosing a particular insurance company or its products.

Consumer dissuasion is a practice employed by insurers to discourage consumers from selecting their products or services. This strategy is often used to manage risk by discouraging individuals or groups that insurers perceive as having a higher likelihood of filing claims or incurring higher costs. Insurers may employ various techniques to dissuade potential customers, such as setting higher premiums, imposing strict eligibility criteria, or offering limited coverage options. The purpose of consumer dissuasion is to selectively attract customers who are deemed less risky or more profitable for the insurer, thereby ensuring a healthier portfolio and reducing potential losses. By implementing strategies that discourage certain segments of the market, insurers can manage their risk exposure and maintain profitability. It is important to note that consumer dissuasion practices should adhere to applicable laws and regulations governing the insurance industry, including fair and transparent practices. Insurers are expected to provide clear and accurate information to consumers, enabling them to make informed decisions about insurance coverage and products.

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The shaded area of the figure is equal to 297 square centimeters.

In this question we find a shaded figure, whose area can be found as a subtraction of the areas of two triangles from the area of a rectangle. The area formulas are defined below:

Rectangle

A = b · h

Triangle

A = 0.5 · b · h

Where:

Now we proceed to compute the shaded area:

A = (18 cm) · (22 cm) - 0.5 · (9 cm) · (13.2 cm) - 0.5 · (9 cm) · (8.8 cm)

A = 297 cm²

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Answer:

There is no graph

Step-by-step explanation:

*I see

*I think

*I think before I speak

*I say " There is no graph

I try to make people laugh when they mess up a little, we all mess up

(a) The function f(x, y) does not have a limit at (0,0). (b) No information is provided to determine the limit for f2(x, y).

(a) For the function f(x, y) = 5ry²/(3x² + y²), we can analyze the behavior as (x, y) approaches (0,0). Since the denominator 3x² + y² becomes zero as (x, y) approaches (0,0), we cannot directly evaluate the function at this point. However, by considering the parabola z = -y², we can observe that the function does not approach a specific value and thus does not have a limit at (0,0).

(b) The function f2(x, y) = Vel + Vsin(y) is not well-defined as no information or context is provided for the variables Vel, V, and U. Without this information, it is not possible to determine the limit of the function at (0,0) or any other point.

Therefore, for (a), the function f(x, y) does not have a limit at (0,0), and for (b), no information is given to determine the limit for f2(x, y).

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Answer:

x = 11

Step-by-step explanation:

the area (A) of a trapezium is calculated as

A = \(\frac{1}{2}\) h (b₁ + b₂ )

where h is the perpendicular height between the bases b₁ and b₂

here h = 4 , b₁ = x , b₂ = 6 and A = 34 , then

\(\frac{1}{2}\) × 4 × (x + 6) = 34

2(x + 6) = 34 ( divide both sides by 2 )

x + 6 = 17 ( subtract 6 from both sides )

x = 11

When presenting chunks of information, bar charts should be used. As long as there aren't too many categories to contrast, vertical bar charts can be useful for comparing several discrete or categorical variables, such as age groups, courses, and schools. For time series data, they are also highly beneficial.

Why would one use a bar chart?

To show a frequency distribution for qualitative data, bar charts are frequently employed.

                   The axis used to measure the bars should always begin at zero, unless there is a valid reason for doing otherwise.

                  Otherwise, the axis can be stretched to magnify differences in the lengths of the bars. A title and the axis labels are required for bar charts.

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Answer:

True

Step-by-step explanation:

7+25+33=(7+33)+25

Solve Parentheses

7+25+33=40+25

Combine Like Terms

65=65

Answer:

true

Step-by-step explanation:

7+25+33 =(7+33)+25

65=(40)+25

65 =65

Given

You roll six-sided dice. What is the probability of rolling a 6 on both dice??

Solution

The sample space

The probability of obtaining 6 twice occurs just once in the sample space which is 36.

The probability is thus;

Thus, the answer is ;

m^2-6m-16=0

We have a quadratic expression:

am^2+bm+c =0

Where:

a= 1

b= -6

c= -16

Apply the quadratic formula:

(-b±√(b²-4ac))/(2a)

(-(-6)±√((-6)²-4(1)-16))/(2x1)

(6±√(36+64))/(2)

(6± √100 )/2

(6± 10 )/2

Positive: (6+10)/2 =16 /2 = 8

Negative : (6-10)/2 = -4/2 =-2

m1= 8

m2=-2

The approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

To calculate the approximate volume of a cone, you can use the formula:

Volume = (1/3) * π * r^2 * h,

where r represents the radius of the cone's base and h represents the height of the cone.

Given that the radius (r) is 1.75 feet and the height (h) is 2.1 feet, we can substitute these values into the formula:

Volume = (1/3) * π * (1.75)^2 * 2.1

To calculate the approximate volume, we'll use the value of π as approximately 3.14:

Volume ≈ (1/3) * 3.14 * (1.75)^2 * 2.1

Now, we can perform the calculations:

Volume ≈ (1/3) * 3.14 * 3.0625 * 2.1

≈ 1.047 * 3.0625 * 2.1

≈ 6.478875

Therefore, the approximate volume of the cone with a radius of 1.75 feet and a height of 2.1 feet is approximately 6.478875 cubic feet.

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The probability that atleast one students is taking a language class is 0.7

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Let :

Spanish = S ; French = F ; German = G

SnFnG = 3

(SnF) only = 9 - 3 = 6

(SnG) only = 5 - 3 = 2

(FnG) only = 5 - 3 = 2

S only = 28 - (6+3+2) = 17

F only = 21 - (2+3+2) = 14

G only = 12 - (6+3+2) = 1

Student not taking any of the classes are;

(100 - (17+14+1+2+2+6+3))

100 - 45 = 55

Atleast 1 is taking a language class out of 2 selected

The probability that atleast one students is taking a language class :

(45/100 * 55/99) + (55/100 * 45/99) + (45/100 * 44/99)

= 0.7

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Answer:

162cm squared

Step-by-step explanation:

The perimeter of a rectangle can be calculated by length+length+width+width.

We know the length is 18, so our equation of finding the width is:

54-(18*2) divided by 2.

54-36=18.

18/2=9.

The area of a rectangle can be calculated by length * width. We already have the length, and now we have the width.

18*9=162

Answer:

The loudness of the dinner conversation is 40 dB

Step-by-step explanation:

Loudness in dB = 10\(Log_{10}\) \((\frac{I}{I_{o} })\)

where \(I_{0}\) is the least intense sound a human can hear = \(10^{-12}\) W/m^2

For a dinner conversation with sound intensity of \(I\) = \(10^{-7}\) W/m^2

Loudness = 10\(Log_{10}\) \((\frac{10^{-7} }{10^{-12} })\) = 10\(Log_{10}\) \(( 10^{4} )\) = 40 dB

Answer:

50 Db

Step-by-step explanation:

Each interior angle of a regular dodecagon measures 150 degrees.

To find the measure of each interior angle of a regular dodecagon, we can use the formula:

Interior angle = (n-2) x 180° / n

where n is the number of sides of the polygon.

For a regular dodecagon, n = 12. Plugging this into the formula, we get:

Interior angle = (12-2) x 180° / 12
Interior angle = 10 x 180° / 12
Interior angle = 150°

Therefore, each interior angle of a regular dodecagon measures 150 degrees.

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Step-by-step explanation:

hope it helps thanks this is the answer

Answer:

yeah i gotta see the others

Step-by-step explanation:

howdy!

the answer is C.