What makes a quadrilateral unique?

Answer:

5.2 or 5:12

Step-by-step explanation:

1.3*4 = 5.2 or 5:12. That's a pretty fast mile.

Answer: X = -12

Step-by-step explanation:

-4x-16=32

We move all terms to the left:

-4x-16-(32)=0

We add all the numbers together, and all the variables

-4x-48=0

We move all terms containing x to the left, all other terms to the right

-4x=48

x=48/-4

x=-12

Answer:

x=12

Step-by-step explanation:

Given,

4x-16=32

4x=32+16(We transpose LHS to RHS)

4x=48

x=48/4

x=12

Hence, the answer is 12

Answer:

Step-by-step explanation:

x-y=-6          (1)..

6x-3y=9       (2)...

First, multiply (1) by 6:

6x-6y=-36

Now subtract the whole eqaution:

 6x-6y=-36

- 6x-3y=9

----------------------

-3y = -45

y=15

Now substitute y into one of the equations:

x-15=-6

x=9

So the answer is x=9, and y=15.

Answer: y= -8x + 9.5

Step-by-step explanation:

The equation for slope intercept form is y=mx+b

b is the y-intercept; we see that it is located at (0, 9.5), so b is 9.5

The slope is rise/run

We see that the y decrease by 8 and x increases by 1, so the slope is -8/1

So the answer is y= -8x + 9.5

Answer:

Let x=1

-5*x+8=y

-5*1+8=y

-5+8=y

3=y
Another

Let x=-1

-5*(-1)+8=y

5+8=y

13=y

There are multiple endings I suppose this is a point of intersection question that needs to be done on graph

In the right angle triangle UVW and with help of Pythagoras Theorem, the value of tan W, rounded to the closest hundredth, is 4.55.

According to Pythagoras's Theorem, the square of a right angle triangle's hypotenuse side is equal to the sum of the squares of its other two legs.

The opposite side is the 40 units, while the hypotenuse side is 41 units long in the right angle triangle. Thus, the value of base side W is,

[tex]VW^{2} + 40^{2}=41^2\\VW=\sqrt{41^2-40^2}\\VW= 9 units[/tex]

Now tan W=[tex]\frac{UV}{VW}[/tex]=[tex]\frac{41}{9}[/tex]=4.55;

In the right angle triangle UVW and with help of Pythagoras Theorem, the value of tan W, rounded to the closest hundredth, is 4.55.

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Answer:

I guess this is the answer

Answer:

Step-by-step explanation:

(x+8)(x-4) = 0

x = -8

x = 4

Answer:

A)18in.

Step-by-step explanation:

Given,

A trapezoid Area= 216 sq

The length of its longer base=2x

The length of its shorter base= x

Height of Trapezoid = 8in

Area of Trapezoid= 1/2h(a+b)

216=1/2 x 8(2x+x)

216=4(2x+x)

216/4=3x

54=3x

54/3=x

18=x

Length of shorter base=18

Length of longer base=2x18=36

Hence, the length of the shorter base is 18in

Option A) is correct

The possible outputs of the function for different values of [x] are given below.

Given is the following function -

h(x) = 32x - 1

We can write the output for the given function as -

[x]            h(x) = 32x - 1                   h(x)                             

1               {32 x 1 - 1 = 31}                   31

2              {32 x 2 - 1 = 63}                 63  

3              {32 x 3 - 1 = 95}                 95

4              {32 x 4 - 1 = 127}                127

Therefore, the possible outputs of the function for different values of [x] are given above.

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The slope of the line which is perpendicular to the given line is (-6/5).

Describe the negative reciprocal.

The negative reciprocal of a number, let's say "n," is "- (1/n).

We are aware of a line's equation in slope intercept form, y = mx + b, as well as the fact that perpendicular lines have slopes that are reciprocal to each other's negative values.

The slope intercept form of the line 15x - 18y = -486 can be expressed as,

-18y = -15x - 486.

- y = (-15/18)x - (486/18).

- y = (-5/6)x - 27.

y = (5/6)x + 27.

The slope of the supplied line is (5/6), making the perpendicular line's slope (-6/5).

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The trigonometric ratio is sin 10° = h/109

Which ratios in trigonometry are there?

Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). The branch of geometry known as trigonometry examines the sides and angles of a right-angled triangle.

What three types of trigonometry are there?

Three crucial trigonometric functions—sine, cosine, and tangent—are represented by the abbreviations sin, cos, and tan. tan

Given that :

Hypotenuse = 109 ft

Height = h

Hence sin = height / Hypotenuse

sin 10° = h/109

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Answer: 15 is a 25% increase of 12.

Step-by-step explanation: Difference of 12 and 15 = |12 - 15|/((12 + 15)/2) = 3/13.5 = 0.22222222222222 = 22.222222222222%

The smallest and largest possible range in the histogram summarizes the percentage of people in each state and the District of Columbia who identify as Hispanic or Latino is 0 - 4.9 and 45 - 49.9 respectively.

As it is clear from the term, percent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

The histogram summarizes the percentage of people in each state and the District of Columbia who identify as Hispanic or Latino,

The Hispanic or Latino percentage of the population is shown in the x-axis, whereas the frequency of the population is shown in the y-axis.

Calculate the smallest possible range by considering the graph,

The smallest possible range = 0 - 4.9

Calculate the largest possible range by considering the graph,

The largest possible range = 45 - 49.9

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Answer:

skewed right

Step-by-step explanation:

I am not sure about the numbers, but it's skewed right i had the same question

The statement which is true about Data Visualization is:

a) Data presented in charts, graphs, and maps provides an accessible way to see and understand trends, patterns, and outliers.

Data Visualization:

Data visualization is the representation of data using common graphics such as charts, diagrams, infographics, and even animations. The visual representation of this information can communicate complex data relationships and data-driven insights in an easy-to-understand manner.

Data visualization can be used for many purposes, but it's important to note that it's not just for data teams. Executives also use it to teach organizational structure and hierarchy, and data analysts and data scientists use it to discover and explain patterns and trends. Harvard Business Review (link is outside IBM) categorizes data visualization into his four main objectives: idea generation, idea expression, visual discovery, and everyday data visibility.

Importance:

Data visualization provides a quick and effective way to communicate information in a universal way using visual information. Practice also helps businesses understand the factors that influence customer behavior. Identify areas that need improvement or need more attention. Make data more memorable for stakeholders. Understand when and where to place specific products. Then, Predict sales volume.

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The interval is [4, 6], and the compound inequality is 2 ≤ x < 5 as indicated on the number line.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign.

It is an illustration of inequity.

This shows that the left half, 5x 4, is bigger than the right part, 2x + 3.

So, the blue line runs from 12 and then to 5.

The solid dot at position 2 denotes inclusion, whereas the hollow dot at position 5 denotes exclusion.

Now,

x  ≥ 2 and x < 5

Combine:
2 ≤ x < 5

Therefore, the interval is [4, 6], and the compound inequality is 2 ≤ x < 5 as indicated on the number line.

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Answer:

Below

Step-by-step explanation:

Statement =1425.05

    1425.05 + 1075 + 120 - 795 - 289.95 = 1535.10 should be on her register.

                  (revised statement balance)    her register does not 'balance' with what she has in her account

Answer:

Both lines intersect at the point (2, 10)

See the attached image

Answer:

Step-by-step explanation:

6x^2-2x+1=0

6*6=36

36x-2x+1=0

34x+1=0

subtract 1 on both sides

34x=-1

divide both sides by 34

x=-0.0294117647059

The roots of the given equation are √5, - √5, 2i, and - 2i      

The values of a variable for which the provided polynomial equals zero are referred to as a polynomial's roots. If n is the root of a polynomial p(x), then p(n) will be equal to zero.

Here we have

x⁴- x²- 20 = 0  

To find the roots of the Equation factorize the given equation

=>  x⁴- x²- 20 = 0    

Let t = x²

=>  t²- t - 20 = 0  

Split the middle term

=> t²- 5t + 4t - 20 = 0  

=> t(t - 5) + 4(t - 5) = 0

=> (t - 5) (t + 4) = 0

=> (t - 5) = 0   and  (t + 4) = 0

Take t - 5 = 0

=>  t = 5  =>  x² = 5

=> x = ±√5          

Take (t + 4) = 0

=> t = - 4 => x² = -4

=> x = ± √- 4                  

=> x = ± 2i         [ ∵ - 1 = i² ]

Therefore,

The roots of the given equation are √5, - √5, 2i, and - 2i                    

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The balance sheet that correctly represents the engineer's income, expenses and balance is illustrated below.

We should know that a balance sheet is a summary of assets and liabilities and income and expenses of a  legal person. We are told that the balance sheet shows a bi-weekly net pay.

This implies that a month has two bi-weeks, therefore every income and expense is multiplied by 2 to get the following figures.

Income                                             Amount

Bi-weekly income                          $2,175.25

Total Monthly Income                   $4,350.50

Expenses                 Percent                              Amount

Housing                        35%                                $1,522.68

Food/Household          10%                               $435.05

Savings                         10%                                $435.05

Transportation              15%                                $652.58

Debt                              5%                                   $217.53

Entertainment               6%                                   $261.03

Medical/Personal Care 5%                                  $217.53

Giving                             5%                                 $217.53

Clothing                         4%                                  $174.02

Miscellaneous               5%                                 $217.53

                                                                          $4,350.50

Balance

Income $4,350.50

Expenses $4,350.50

Balance $0

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The range of the graph is [-4, 11).

A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.

In the given graph,

The value of the x coordinate varies from -8 to 11.

And the values of x shows the domain,

Therefore, domain is (-8, 11).

The y coordinate varies from -4 to 11.

And the values of y coordinate shows the range.

The value of y at 11 is open circle, So it shows open interval.

And at -4 it shows close interval.

So the range of the graph will be [-4, 11)

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The answer to this Question based on Length is Yes he can easily make a bow with that

What is Length?

Length is a measurement of distance or size. It is the greatest of the three linear dimensions and is often denoted by the letter “L”. Length is commonly used to measure the size of objects, the distance between two points, or the magnitude of a displacement. Length can be measured in a variety of units such as inches, feet, meters, kilometers, or miles. Length is also used to determine the area of a two-dimensional shape, the volume of a three-dimensional shape, and the circumference of a circle. Length is an important concept in mathematics, physics, engineering, and other scientific disciplines. Length can also be used to describe how long something lasts, such as the length of a movie or a song.

we can see that length of henry ribbon that is available is 6 1/4 feet long ribbon which means 25/4 feet ribbon
= 6.25 feet of ribbon
whereas length of ribbon he needs is 1 1/12 feet ribbon to make a bow which is equal to

13/12 = 1.08 feet ribbon and he has 6.25 feet available hence he can easily make a bow with that

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Answer:

a) The factored form of the function Hs= -16s2+96s is Hs = -16(s-3)(s-2).

b) The two factors in the factored form of the function, -16(s-3)(s-2), represent the maximum height of the baseball and the time at which the baseball reaches its maximum height. The first factor, -16, represents the maximum height of the baseball, since a negative value multiplied by the product of two positive values will always be negative. The second factor, (s-3)(s-2), represents the time at which the baseball reaches

or

a) Hs = (-16s + 48)(s - 2)

b) The factor (-16s + 48) represents the initial height of the baseball when it is hit, and the factor (s - 2) represents the time it takes for the baseball to reach its maximum height.

To find the actual size of an item, multiply the scale factor by the size of the item in the drawing

The scale factor is the ratio of the measurement of the new figure to the measurement of the original figure

Here, we are drawing an item on the paper, the size of the object on the paper maybe less than or greater than of original item

The dimensions of the actual item will be equal to the product of scale factor and the dimensions of the item on drawing.

If the scale factor is greater than 1, then the actual size will be greater than drawing, if the scale factor is between 0 to 1, then actual size will be less than drawing

Therefore, to find the actual size multiply the scale factor and size of drawing

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Answer:

Step-by-step explanation:

114048

Answer:

114048

Step-by-step explanation:

a group of nine people are attending the movies together . now 40320 ways can the nine be seated together in a row by combination.

(a) The two people who insist on sitting side-by-side can be seated in 1 way. The remaining 7 people can be seated in 7! ways. Therefore, the total number of ways in which the 9 people can be seated together in a row is 1 x 7! = 40320.

(b) In this case, the two people who do not like each other can be seated in (7-1)! ways. The remaining 7 people can be seated in 7! ways. Therefore, the total number of ways in which the 9 people can be seated together in a row by combination is (7-1)! x 7! = 40320.

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Fibonacci sequence is the mathematical concept which was introduce by Italian Mathematician Fibonacci.

Therefore, Fibonacci sequence is the mathematical concept that was introduce by Italian Mathematician Fibonacci.

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The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016, when  open ground in a year has mean 6 and standard deviation 2.4.

It imply a quantity that falls somewhere between the values of the extreme members of a set in mathematics. There are different types of means, and how they are calculated relies on the relationship that is known about or is regarded as governing the other members.

Given,

Mean = 6

Standard deviation = 2.4

The value that has been reduced by the population mean and divided by the standard deviation is called the z-value.

z = x - mean/ standard deviation/√n

z = 5 - 6/2.4/√50

z = - 2.95

Using table A, calculate the corresponding probability;

= P(x <5)

= P( z < -2.95)

= 0.0016

The probability that the mean number of lightning strikes per square kilometer is less than 5 is 0.0016.

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