If OM=103 MN=108 ON=84 PQ=54 RQ=42 find the perimeter of pqr

According to the given statement, there are 129 spacy subsets of, such as the empty set.

The correct option is E.

Whole numbers that followed each other with no gaps are known as consecutive integers. For example, the numbers 15, 16, and 17 are all consecutive integers. If is an integer, then the following consecutive integers begin at:,, and so on.

A divider counting argument can be employed because each member of the subgroups must be at least two apart.

We select no more than four numbers first from set 1,2,3,4,5,6,7,8,9,10,11,12. Let's use balls to represent these numbers. There are least two dividers between each of the balls.

So for example, o | | o | | o | | o | | represents {1,4,7,10}.

There must be 2(k - 1) dividers between both the balls in subsets of size k, leaving 12 - k - 2(k - 1) = 12 - 3k + 2 dividers to be placed at k + 1 spots between the balls.

[tex]\left(\begin{array}{c}(12-3 k+2)+(k+1)-1 \\k\end{array}\right)=\left(\begin{array}{c}12-2 k+2 \\k\end{array}\right)[/tex]

As a result, the number of spacy subsets is reduced:

[tex]\left(\begin{array}{l}6 \\4\end{array}\right)+\left(\begin{array}{l}8 \\3\end{array}\right)+\left(\begin{array}{c}10 \\2\end{array}\right)+\left(\begin{array}{c}12 \\1\end{array}\right)+\left(\begin{array}{c}14 \\0\end{array}\right)[/tex] = 129

According to the given statement, there are 129 spacy subsets of, such as the empty set.

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I understand that the question you are looking for is:

Call a set of integers spacy if it contains no more than one out of any three consecutive integers. How many subsets of $\{1,2,3,\ldots,12\},$ including the empty set, are spacy?

(A).121

(B). 123

(C). 125

(D). 127

(E) 129

Answer:

168 inches

Step-by-step explanation:

In a rotation, parallel lines connect pairs of corresponding spots. If the two lines are parallel, corresponding angles are congruent. Corresponding pairs are all angles that are positioned in relation to the parallel and transversal lines in the same way.

Any pair of angles that is both on the same side of the transversal and on one of the two lines that it cuts.

When two figures or objects in geometry have the same shapes, sizes, or are mirror images of one another, they are said to be congruent.

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x = 12.

Perpendicular lines are lines that intersect at a 90-degree angle. So, for example, line ST is perpendicular to line CD. So line ST is perpendicular to line CD.

Perpendicular lines always intersect each other, however, all intersecting lines are not always perpendicular to each other. The two main properties of perpendicular lines are: Perpendicular lines always meet or intersect each other. The angle between any two perpendicular lines is always equal to 90.

Given that

line m and n are perpendiculars

then angle ∠a = ∠b

then

5x + 20 = 7x -4

7x -5x = 20 + 4

2x = 24

x = 24/ 2

x = 12.

Hence the value of x = 12

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The number of tickets sold during the 12 games is 83,100 tickets

The college stadium has 6,925 seats for the baseball games this season.

During the entire 12 baseball games, al the seats were filled up and tickets were sold out.

Therefore the number of tickets sold in the entire 12 games can be calculated by multiplying  6,925 by 12

= 6925 × 12

= 83,100

Hence 83,100 tickets were sold in the entire 12 games

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Height  is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.

Horizontal plane can as well be described as the plane or surface  that can be seen as the one that is parallel to the surface of the earth,  , it should be noted that this  plane is usually at the  at an angle of zero degree hence  horizontal plane.

Therefore, the plane  is perpendicular to the horizontal plane , hence Height  is the vertical distance between two or more lines or surfaces (part features) that are in horizontal planes.

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The properties of the mean and median to determine which

are the correct mean and median for the following histogram. The answer is Mean is 3.5; median is 3.1.

Mean

[tex]\mu=& \varepsilon x \cdot P(x)[/tex]

= 0(0.04)+1(0.08)+2(0.125)+3(0.24) +4(0.15)+5(0.14)+6(0.12)+7(0.05)

= 0+0.08+0.25+0.72+0.6+0.7+0.72+0.35

= 3.42 [Approx: 3.5]

Mean =3.5 of median 3.1.

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data collection is called the mode.

The median is computed by sorting the scores into numerical order, dividing the total by 2, rounding the result up if the number of scores is odd to determine the median position, or by averaging the median position and the position after it, if the number of scores is even.

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Answer:

x = 7

Step-by-step explanation:

Let's solve the problem,

→ 4x - 2x + x - 6 = 15

→ 3x - 6 = 15

→ 3x = 15 + 6

→ x = 21/3

→ [ x = 7 ]

Thus, the value of x is 7.

The given equation solved for z is z = s/(r - 6c⁴)

From the questions, we are to solve the given equation for the specified value

The given equation is

s = zr - 6zc⁴

The specified value is z.

Thus, we are to solve for z.

Solving for z

s = zr - 6zc⁴

First, factor out z

s = z(r - 6c⁴)

Now, divide both sides by r - 6c⁴

s/(r - 6c⁴) = z(r - 6c⁴)/r - 6c⁴

s/(r - 6c⁴) = z

∴ z = s/(r - 6c⁴)

Hence, the given equation solved for z is z = s/(r - 6c⁴)

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The equation [tex]d=50+20w[/tex] represents the relationship between dollar amount in her bank account and the number of weeks of savings.

(a) It is given that amount in bank account is $50 , amount deposited by Priya is $20 and time period is 12 weeks .

Let " d " be the dollar and " w " be the weeks

Multiply the number of weeks w by 20 to get the total savings and add up how much money she had in the account initially.

Money deposit by Priya in 1 week = $20

Money deposit by Priya in 1 week = [tex]20\times w[/tex]

Therefore , the equation will be [tex]d=50+20w[/tex]

(b) Graph of given equation is given below :

Let " w " represents the x - axis and " d " represents the y - axis

For 1 week , amount will be [tex]d=50+20=60[/tex]

For 2 week , amount will be [tex]d=50+20(2)=90[/tex]

For 3 week , amount will be [tex]d=50+20(3) = 110[/tex]

And so on..

From the graph ,the point which represents the amount after 3 weeks is

(3 , 110 )

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According to Descartes' rule of sign,

a. We have 0 or 2 real positive roots for the equation and

b. We have 0 or 2 real negative roots for the equation.

Descartes' rule of sign states that

Since we have the equation 0 = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1, we now re-write it as a polynomial function. So, it is now f(x) = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1

To find the number of positive roots, we require the number of sign changes of the polynomial f(x).

Thus, f(x) = −8x¹⁰ − 2x⁷ + 8x⁴ − 4x² − 1

Thus, the coefficients of f(x) are -8, -2, + 8, -4, -1, and we see that there are two sign changes from -2 to + 8 and from + 8 to -4.

Thus, there are 2 or 2 - 2 = 0 real positive roots.

Thus, we have 0 or 2 real positive roots for the equation.

To find the number of negative roots, we thus need to find the number of sign changes of the polynomial f(-x).

Thus, f(-x) = −8(-x)¹⁰ − 2(-x)⁷ + 8(-x)⁴ − 4(-x)² − 1

= −8x¹⁰ + 2x⁷ + 8x⁴ − 4x² − 1

Thus, the coefficients of f-(x) are -8, +2, + 8, -4, -1. We see that there are two sign changes from -8 to + 2 and from + 8 to -4.

Thus, there are 2 or 2 - 2 = 0 real negative roots.

Thus, there are 0 or 2 real negative roots for the equation.

Thus,

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Based on the calculations, the volume of this pyramid is equal to 1440 cm³.

Given the following data:

Length of right triangular base = 9 centimeters and 15 centimeters.

Height of right triangular base = 32 centimeters.

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

h is the height of a pyramid.

b is the base area of a pyramid.

Substituting the parameters into the formula, we have:

Volume = 1/3 × 9 × 15 × 32

Volume = 3 × 15 × 32

Volume of pyramid = 1440 cm³.

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The asymptotes of the graph are vertical asymptotes as; x = 0 and x = -4

The end behavior of the second graph is that as x → ∞, f(x) → -∞ and x → -∞, f(x) → -∞

An asymptote is defined as a line that a curve approaches, as it heads towards infinity. There are three types of Asymptotes namely horizontal, vertical and oblique.

It is called a Horizontal Asymptote when as x goes to positive or negative infinity the curve approaches some constant value.

It is called a Vertical Asymptote when as x approaches some constant value (from the left or right) then the curve goes towards positive or negative infinity

It is called an Oblique Asymptote when as x goes to positive or negative infinity, then the curve goes towards a line y = mx + b

Thus, the asymptotes of the graph are vertical asymptotes as;

x = 0 and x = -4

The end behavior of the second graph is that as x → ∞, f(x) → -∞ and x → -∞, f(x) → -∞

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The Total cost for a tour group consisting of n number of people is 20n

An equation is an expression that shows the relationship between two or more numbers and variables.

Let T represent the total cost if a tour group consisting of n people

Since A walking tour of Washington, D.C., costs $20 per person. Hence, for n number of people:

Total cost = $20 per person * n persons = 20n

The Total cost for a tour group consisting of n number of people is 20n

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Answer:

I believe the answer would be :

-14 - 7 = -21

Answer = -21

Answer: it is B

Step-by-step explanation: i would love to help

Using translation concepts, the notation that describes this transformation is:

C. (x,y) -> (x - 8, y - 8).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

To generate figure 2 from figure 1, these following translations happened:

Thus the rule is given by:

C. (x,y) -> (x - 8, y - 8).

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Answer: (x',y') = (x - 4,y - 8)

Step-by-step explanation:

Answer:

Step-by-step explanation:

−1/4x−6=2

−1/4x−6+6=2+6

−1/4x=8

(4−1)*(−14x)=(4−1)*(8)

x=−32

Answer: x=−32

−1/4x−6=2

Add 6 to both sides:

−1/4x−6+6=2+6

−1/4x=8

Multiply both sides by 4/(-1):

(4−1)*(−14x)=(4−1)*(8)

x=−32

Step-by-step explanation: hope this helps!!!

Hi ~

︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵

-14/64

Divide the numbers: [tex]\bold{14}[/tex] ÷ [tex]\bold{64 = 0.21875}[/tex]

[tex]\bold{= -0.21875}[/tex]

Hope It Helps...

[tex]\textsc{A \: n \: s \: w \: e \: r:}[/tex]

TheAestheticGirl

Answer:

Below in bold.

Step-by-step explanation:

Slope = difference in y values / difference is x values

= (1 - (-3)) / (0 - (-1)

= 4 / 1

= 4.

The y-intercept is the y value when x = 0, so it is

= 1.

So, the equation is

y = 4x + 1.

Answer:

the right answer is A

Step-by-step explanation:

the even number can be always divided by 1,2 and themselves

The value of f(5)  in the function are - 9 . Option B

A function can be defined as an expression, rule or law that shows the relationship between a dependent variable or independent variable.

Given the functions;

To determine the value f(5),  substitute the value of x as 5

x > 1 , so we use equation 2

From function (2)

f(5) = 1 - 2x

f(5)  = 1 - 2(5)

f(5) = 1 - 10

f(5)  = - 9

Thus, the value of f(5)  in the function are - 9 . Option B

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Answer:

74

Step-by-step explanation:

Multiplication

37×2=74

Brackets

Addition

1/2+5=6

Subtraction

6-5=1

The whole question will read as 74x1

The answer will be 74

The height of the water tower is 132 feet

We have the height to be 5 feet 4 inches

then 1 feet = 12 inches

inch = 1 / 12 ft

Then 4 inches = 1 / 12 x 4

= 1 / 3 ft

Height = 5 1/3

= 16 / 3

height of the shadow cast = 3 feet

For the water tank

74 ft 3 inches

= 74 x 3 / 12

297 / 4

the height of the tower

[tex]\frac{height of person}{height of shadow} =\frac{height of tower}{height of person}[/tex]

= [tex]\frac{16/3}{3} =\frac{x}{297/4} \\\\\frac{16}{3*3} =\frac{4x}{297}[/tex]

Then x = 132

Therefore the height of the water tower is 132 feet

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Market pricing and the goods and services purchased by the average household must be taken into account in order to compute the market basket utilized for the cpi.

The cpi formula is Market Price in the current year / Base year x 100.

What is meant by price market?

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Answer: 1. 35 5/6 - 4 1/2

2. 1 5/8 - 2/3

3. 1 5/8 + 2/3

4. 35 5/6+4 1/2

Step-by-step explanation:

1. E=Eli. J=Jamison

E=J+4 1/2

35 5/6=J+4 1/2

J=35 5/6 - 4 1/2

2. s=cups of strawberries

b=cups of blueberries

m=more cups of b than s

m=b-s

m=1 5/8 - 2/3

3. o=original length of patio.

i=increase in length of patio

t=total length of patio after increase.

o+i=t

1 5/8 + 2/3=t

4. p=pine tree. a=palm tree. i=inches taller

p+i=a

35 5/6+4 1/2=a