With the information given, can you prove
that this quadrilateral is a parallelogram?
Yes
No

1) The mean of the data is 4.45.

2) The mode of the data is 11.

3) The median of the data is 4.

The mean of the data is the ratio of the sum of the given data and the number of the count of the data.

The mode of the data is the number that is repeated maximum number of times. The median of the data is when the data is arranged in an increasing order then the middle most value will be the median of the data.

Given data is 6 11 5 11 4 0 2 0 1.

The mean of the data is,

Mean =  ( 6 + 11 + 5 + 11 + 4 + 0 + 2 + 0 + 1 ) / 9

Mena = 4.45

Mode = 11

Median:- 0,0,1,2,4,5,6,11,11

Median = 4

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15 liquids that can be found in a kitchen include:

15 solids in a kitchen are:

When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.

As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.

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Answer: (a) To find the position vector of point D, we need to find the midpoint of the line segment AB. We can do this by taking the average of the position vectors of points A and B:

D = (A + B) / 2 = ((2i + 3j - 4k) + (4i - 2j + 3k)) / 2 = (3i + 0.5j - 0.5k)

So, the position vector of point D is (3i + 0.5j - 0.5k).

(b) To find the value of a, we use the fact that the distance between points A and C is 4. We can find the distance between two points by finding the magnitude of the difference between their position vectors. The position vector of point C is (ai + 5j – 2k), so the difference between the position vectors of points A and C is (ai + 5j – 2k) - (2i + 3j - 4k) = (a-2)i + 2j - (-2k).

The magnitude of this difference is given by:

|(ai + 5j - 2k) - (2i + 3j - 4k)| = √((a-2)^2 + 2^2 + 2^2) = 4

So, we have:

√((a-2)^2 + 2^2 + 2^2) = 4

(a-2)^2 + 2^2 + 2^2 = 16

(a-2)^2 = 16 - 4 - 4

(a-2)^2 = 8

a-2 = ±2√2

Since a < 0, we have:

a = 2 - 2√2

So, the value of a is 2 - 2√2.

Step-by-step explanation:

The area of the walkway of the garden is  8x - 15 square units.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, The area of the garden is 2(3.5x + 2.5) and the combined area of the garden and the walkway is 2.5(6x + 4).

Therefore, The area of the walkway is,

= 2.5(6x + 4) - 2(3.5x + 2.5).

= 15x - 10 - 7x - 5.

= 15x - 7x - 10 - 5.

= 8x - 15 square units.

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The consecutive even integers are 4,6 and 8.

An even number is a number that can be perfectly divided by 2. An example of an even number is 10. A consecutive even number is an even number that follows each other on the number line.

Let the first even number be represented with x

The second even number : x + 2

The third even number : x + 4

x + 2(x + 4) = 20

x + 2x + 8 = 20

3x = 20 - 8

3x = 12

x = 12 / 3

x = 4

The second even number : 4 + 2 = 6

The third even number : 4 + 4 = 8

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The length of the hypotenuse of a right triangle with legs measuring 20 inches and 28 inches is approximately 34.4 inches, found using the Pythagorean theorem.

The length of the hypotenuse of a right triangle with legs measuring 20 inches and 28 inches can be calculated using the Pythagorean theorem, which states that the square of the sum of the squares of the lengths of the legs determines the length of the hypotenuse.

So, if we call the length of the hypotenuse "h", we have [tex]h^{2}[/tex] = [tex]20^2 + 28^2[/tex]

Solving for h:

[tex]h^2 = 20^2 + 28^2[/tex]

[tex]h^2[/tex] = 400 + 784

[tex]h^2[/tex] = 1184

h = [tex]\sqrt{1184}[/tex]

h ≈ 34.4 in.

So, the length of the hypotenuse is approximately 34.4 inches, rounded to the nearest tenth.

The Pythagorean theorem is a fundamental mathematical relationship that states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal tothe squared lengths of the two legs added together. In this case, the two legs have lengths of 20 inches and 28 inches, and the length of the hypotenuse can be found by solving for the square root of the total of the leg squares.

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Answer:

19 miles

Step-by-step explanation:

hope this helps!!

Answer:

(36/5)

Step-by-step explanation:

y=x^2+36/5

Since x is squared, the result will always be a positive number, regardless of the actual value of x.  Starting with a value of x of zero, the x^2 term will only grow as one moves away from 0.  E.g., (-1)^2 = 1, (-2)^2 = 4, etc.

So the minium for this equation will occur when x = 0.  It only gets larger from that point.  The minimum is (36/5).

See the attached graph.

Answer:

69 meters

Step-by-step explanation:

Answer:

Step-by-step explanation:

To determine whether a value is greater than or less than a specific result from an equation, you would need to substitute the value into the equation and solve for the result. For example, if you want to determine if the value "a" is greater than or less than the result of the equation -2x^2 + 16x - 36, you would substitute "a" for the variable x and solve for the result:

-2x^2 + 16x - 36 = -2a^2 + 16a - 36

Then you can compare the value of the result to "a" to determine whether it is greater than or less than.

If the result is greater than "a", you would write:

-2a^2 + 16a - 36 > a

If the result is less than "a", you would write:

-2a^2 + 16a - 36 < a

And if the result is equal to "a", you would write:

-2a^2 + 16a - 36 = a

It's important to note that the comparison only holds for a specific value of "a". The equation -2x^2 + 16x - 36 could have many solutions where the result is greater than, less than, or equal to "a".

Answer: A, B, F

Step-by-step explanation:

For convenience sake, let's establish early on that 1/2 is equal to 0.5 or 50% in their decimal and percentage forms respectively.

- A as a decimal is 0.25, which is not only smaller than 1/2, but it is exactly half of the value, so A works.

- B is also smaller than the decimal of 0.5, therefore it counts.

- 3/5 as a decimal is 0.5, which is greater, so doesn't count.

- 67% is bigger than 50%, so doesn't count.

- 0.74 is bigger than 0.5, so doesn't count.

- 40% is smaller than 50%, so it counts.

Answer:

A, B, and F

Step-by-step explanation:

A. 1/4 = 25%

B. .26 = 26%

F. 40%

Boole. K-map stands for Karnaugh Map and is used to simplify and minimize the expression of logic in a similar form to algebra.

George Boole is the mathematician we honor for discovering ways to express and minimize logic through a new but similar form of algebra. The technique used to simplify and minimize these expressions is known as a Karnaugh Map, or K-map for short. A K-map is a visual representation of a Boolean expression using squares and circles to represent true or false variables in a table. By arranging the variables in the table, the same logic can be expressed in a simpler form with fewer variables. This allows for a simpler and more efficient form of logic expression. K-maps are used in many fields, such as digital logic design, where the efficiency of expression is important.

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Answer:

what system of equations? and ben is a bad name, try and come up with another one

Step-by-step explanation:

Answer:

Step-by-step explanation:

So first what you got to do is add and mulytplie

It will take 50 seconds for the person to travel from one end to the other at the current speed.

We know that the person travels 28 feet in 7 seconds, remember that speed is defined as the quotient between distance and time, then the person's speed is:

s = 28ft/7s = 4ft/s

Now we want to find the time T that it takes for the person to travel the 200 feet of the sidewalk, then we need to solve:

(4ft/s)*T = 200ft

T= 200ft/(4 ft/s) = 50s

It takes 50 seconds.

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The correct quadratic equation that can be used to determine the thickness of the frame, x, is: 2x² + 10x - 7 = 0, Therefore Option B is the right answer

Here's how we can get this equation:

We are given that the mirror and frame together have an area of 7 square feet. The mirror itself has an area of 2 x 3 = 6 square feet. So, the area of the frame is 7 - 6 = 1 square foot.

Let's assume that the width of the frame is x feet. Then the overall width of the mirror and frame becomes 2 + 2x, and the overall length becomes 3 + 2x. The area of the mirror and frame can be expressed as:

(2 + 2x)(3 + 2x) = 6 + x(10 + 4x)

We know that this expression equals 7, so we can set it equal to 7 and obtain the quadratic equation:

2x² + 10x - 7 = 0

Therefore, the correct quadratic equation is 2x² + 10x - 7 = 0.

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Todd has done correct calculation its values is equal to 6.79, which is closer to 7.

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number on the top side, it indicates the number of equal parts taken or whole quantity and denominator is on the bottom side, it indicates the equal parts of the whole quantity.

Given that,

Two fraction numbers in the form of addition,

⇒ 3 7/8 + 2 11/12

It can be further solved as

⇒  (24 + 7)/8 + (24 +11)/12

⇒  31/8 + 35/12

Now taking LCM of (8, 12)

LCM(8, 12) = 24

making denominator same in the both terms

⇒ 93/24 + 70/24

⇒ 163/24

⇒ 6.79

Thus, the values is closer to 7

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A polynomial term is an expression composed of constants, variables, and exponents.

A polynomial term is an expression composed of constants, variables, and exponents. Constants are the numerical values that don't change, while variables are values that can change. Exponents are numbers that indicate how many times a number is multiplied by itself. For example, 2^3 means 2 multiplied by itself 3 times, or 8. A polynomial term is an expression that combines constants, variables, and exponents, such as 6x^2 - 3x + 5. In this expression, 6, -3, and 5 are constants, x is a variable, and 2 and 1 are exponents. A polynomial term can also contain fractions, such as (2x + 1)/3. In this case, 2, 1, and 3 are constants, and x is a variable. Polynomial terms are the building blocks of polynomials, which are equations that consist of multiple polynomial terms.

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Answer: Is only definable if you can show the table but according to a valid explanation it would be most likely 41

Step-by-step explanation:

Lets say Bob has 17 strawberry, 19 Cola, and 4 blueberry, we can infer there is an equal amount of gumballs of each flavor in the machine; Before bob bought any gumballs there were 180 and if there were only 3 flavors we would divide 180 by 3 and get 60. That means each flavor has 60 of its own flavor and if we take 19 from the 60 cola flavored we can get 41.

The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference.

5/8 - 3/8 = x

5/8 = 5 ÷ 8

= 0.625

3/8 = 3 ÷ 8

= 0.375

0.625 - 0.375 = x

= 0.25

Therefore, the difference between the amount Anna ate and the amount she gave to her brother is 0.25.The difference between the amount Anna ate and the amount she gave to her brother can be found by subtracting 3/8 from 5/8. This can be expressed as an equation by writing 5/8 - 3/8 = x, where x is the difference. To solve this equation, we first need to convert the fractions into decimal values. 5/8 is equal to 5 divided by 8, which is equal to 0.625. 3/8 is equal to 3 divided by 8, which is equal to 0.375. We can then subtract 0.375 from 0.625 to get the difference. This gives us 0.25, which is the difference between the amount Anna ate and the amount she gave to her brother. Therefore, the answer to the equation 5/8 - 3/8 = x is x = 0.25.

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The complete question is

Anna ate 5 8 of an orange and gave the other 3 8 to her brother. Which equation can be used to find the difference between the amount Anna ate and the amount she gave her brother?

power of ten

Step-by-step explanation:

The value of the house when it was purchased was $150,000, before the 38% discount was applied.

A discount is a reduction in price or value, typically given as an incentive to purchase or to compensate for a decline in value.

In this case, we know that the house has decreased in value by 38% since it was purchased. This means that the current value is only 62% of its original value (100% - 38% = 62%).

Now, we can use a proportion to determine the original value of the house. We can set up the equation:

Current value / Original value = 62% / 100%

Substituting the given values, we get:

$93,000 / Original value = 62 / 100

To solve for the original value, we can cross-multiply and simplify:

100 x $93,000 = 62 x Original value

$9,300,000 = 62 x Original value

Dividing both sides by 62, we get:

Original value = $150,000

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The answer option which is not a characteristic of a plane include the following: C. thickness.

In Mathematics, a plane is sometimes referred to as a two-dimensional surface and it can be defined as a flat, two-dimensional surface with zero curvature and zero thickness, that extends indefinitely (infinitely). Additionally, two (2) planes intersect at a line.

Generally speaking, there are different characteristics of a plane and these include the following:

In this context, we can reasonably infer and logically deduce that thickness is not a characteristic of a plane.

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Complete Question:

Which of the following is NOT a characteristic of a plane?

A. length

B. flat surface

C. thickness

D. width

The number of chairs from number 27 to 66 in a row at an auditorium is calculated by using subtraction is 40.

To calculate the number of chairs in the row, we need to subtract the chair number of the first chair from the chair number of the last chair and add 1.

Number of chairs = (last chair number - first chair number) + 1

The first chair number is given as 27, and the last chair number is given as 66.

Substituting these values in the formula, we get:

Number of chairs = (66 - 27) + 1

Number of chairs = 40

Therefore, there are 40 chairs in the row, and the correct answer is option (3) 40.

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____ The given question is incorrect, the correct question is given below:

There are chairs from no, 27 to 66 in a row at an Auditorium. Then

how many chairs are there in the row ?

(1) 38

(2) 39

(3) 40

(4) 48

In stabilizing selection, option (d) The intermediate phenotype becomes rare.

Stabilizing selection occurs when individuals with extreme phenotypes are at a disadvantage, and individuals with intermediate phenotypes have a greater chance of survival and reproduction.

This means that over time, the population shifts towards the intermediate phenotype. Let's take an example to explain this concept.

Suppose we have a population of rabbits with different fur colors, ranging from white to dark brown. Predators are more likely to spot white rabbits in a snowy environment, while brown rabbits are more likely to be seen in a forest environment. This means that the extreme phenotypes (white and dark brown) are at a disadvantage, while the intermediate phenotype (light brown) is more likely to survive and reproduce. Over time, the population will shift towards the light brown phenotype, as it is the most advantageous trait.

In conclusion, stabilizing selection is a mechanism of natural selection that promotes the preservation of the average characteristics of a population. It occurs when individuals with intermediate phenotypes have a higher chance of survival and reproduction, leading to the shift of the population towards the intermediate phenotype. Mathematically, we can represent this concept using the mean and standard deviation of a population.

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Answer:

The correct answer is C. Statement: m∠3 + m∠5 = 180° and m∠4 + m∠6 = 180° Reason: definition of supplementary angles.

This statement uses the definition of supplementary angles, which states that two angles are supplementary if their measures add up to 180 degrees. Since ∠3 and ∠6 are corresponding angles, and ∠4 and ∠5 are also corresponding angles, their measures must add up to 180 degrees in order for the parallel lines to be cut by the transversal.

Answer:

Option, D. Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem

Step-by-step explanation:

In this question that you have put:

7 ≅ ∠6 and ∠8 ≅ ∠5 Reason =

Vertical Angles Theorem ( Or in similar terms VAT )

Make sure that you remember the following:

vertical angles are the angles that are opposite each other when the two line " meet together "

Thus, your answer to your questions is.

D. Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5 Reason: Vertical Angles Theorem

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Answer:

About 54 geckos