Name the highlighted arc

To travel 24 miles of distance it require 16 gallons of gas

Ratio :

                                   A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Proportion :

                  A proportion is an equation in which two ratios are set equal to each other,

From the graph,

       We are observing that,

                                                 The boat uses 4 gallons to travel 6 miles. Traveling 4 times as far is expected to require 4 times the gas.

            In 4 gallons of gas  travelling 6 miles,

that is,

In simple word,            

        4 gallons = 6 miles

          Multiply both side by 4 we get,

        4 x 4 gallons = 6x4 miles

        16 gallons = 24 miles

Thus we can say,

                           To travel 24 miles of distance it require 16 gallons of gas

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The range is (-∞,∞),{y∣y∈R}

The range is the set of all valid y values. Using the graph to find the range.

Interval Notation:  (-∞,∞)

Range: (-∞,∞),{y∣y∈R}

Graph:

In mathematics, a graph is a logical visual representation of any data. The graph shows the relationship between the values of the variables. In graph theory, a group of objects that are related in some way are represented by a graph. In essence, the edges of the objects are representations of the connections between the vertices, or nodes, of the objects. Numerous graph types are employed in mathematics and statistics to visually display data. The field of graph theory is concerned with the study of points and lines. It is a subfield of mathematics with a graph analysis emphasis.

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Answer:

Step-by-step explanation:

well 56^2 is 56*56, 56*56= 3136

1. 3136x-88x

2. 3048x+88x

The amount owed by the debtor is $10865

The given parameters about the compound interest are

Principal Amount, P = $5300

Interest Rate, R = 8%

Time, t = 6 years

To calculate the amount owed, we make use of the following formula

A = P + CI

Where

Compound interest, CI = P(1 + R)^t - P

So, the equation becomes

A = P + P(1 + R)^t - P

Evaluate the like terms

A = P(1 + R)^t

In this question, the formula is given as

A = P(1 + r/n)^nt

Where

n = 12, i.e compounded monthly

Substitute the known values in the above equation

A = 5300 * (1 + 8%/12)^(6*12)

Express 8% as decimal

A = 5300 * (1 + 0.08/12)^(6*12)

Evaluate the sum

A = 5300 * (1.01)^(6*12)

Evaluate the exponent

A = 5300 * 2.05

Evaluate the product

A = 10865

Hence, the value of the amount after 6 years is $10865

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The mean of the following data is 0.1800

acc to our question-

hence,The mean of the following data is 0.1800

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Answer: first one

Step-by-step explanation:

Step-by-step explanation:

Its a simple algebraic expression

Answer: 40%

Step-by-step explanation: 2,000 ÷ 5,000 = 0.4 or 40%

Answer:   m∡Ɪ  = 41.8 °

___

Step-by-step explanation:

Use the following mnemonic for right triangles:
 SOH  CAH  TOA ;

in which:
sin   =  opposite/ hypotenuse ;

cos  =  adjacent/ hypotenuse ;

tan =  opposite/adjacent ;

___
We shall solve for the unknown " m∡Ɪ " ;
 that is:  "the measure of Angle Ɪ ".

From looking at the image attached:
 Let's take at  ∡Ɪ .

  We see that the opposite side = 6 ; and that the hypotenuse = 9 ;
So, from the mnemonic mentioned ^above.

We use the SOH component:
    sin Ɪ = opposite /adjacent ;

             = 6/9 ;

      which can be reduced:
             " 6/9 =  (6÷3)/(9÷3) = (2/3) ."

So:  sin Ɪ = (2/3) ;

To solve for  Ɪ ;  

  We use a calculator; to take the (arcsin) of Each Side of the equation:

     [(arcsin) sin Ɪ ]  = (arcsin) ( [tex]\frac{2}{3}[/tex] ) ;

 to get:  Ɪ = 41.810314895779 ;
      [Source used:  Web2.0 Online Scientific Calculator].

Now, we shall round this calculated decimal number to the nearest tenth;  that is;  to the nearest single decimal point that appears after the non-decimal value.
    We have: 41.81... ;

So:  41.8 ? Or: 41.9 ?  If the digit in the hundredth place [that is, the next occurring decimal] is "4 or lesser" [i.e. "0, 1, 2, 3, or 4"] ; then we round down.  

  If the digit in the hundredth place [that is, the next occurring decimal] is "5 or greater" [i.e. "5, 6, 7, 8, or 9"] ; then we round down.

   In our case, we have:  "41.81..." ;
 →  As such, we round down to "41.8" .

  The correct answer is  " m∡Ɪ  = 41.8 °

___
I hope this answer and explanation are helpful to you!

  Best wishes!
___

1260 tickets were sold on the first game

For the second game, the ratio of the number of sold tickets to number of unsold tickets is 13:2

Total ratio = 13+2 = 15

There were 240 unsold tickets for the second game. Let total number of tickets for the second game be x

This means that

240 = 2/15 × x

2x/15 = 240

2x = 15 × 240= 3600

x = 3600/2 = 1800

1800 tickets were sold for the second game. Assuming total number of tickets for the first game is equal to total number of tickets for the second game. Therefore,

Total number of tickets sold for the first game is 1800

The ratio of sold tickets to unsold tickets for the first game was 7:3.

Total ratio = 7+3 = 10

Number of sold tickets for the first game would be

7/10 × 1800 = 12600/10

= 1260 tickets

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Answer:

-330°

Step-by-step explanation:

just gotta trust it i guess

Answer:

The least number of deliveries that Ben must make is 14.

Step-by-step explanation:

0.636  is the probability that the ball chosen from urn .

What is probability ?

Urn A contains 2 W, 4 R

Urn B contains 8 W, 4 R

Urn C contains 1 W,  3 R

Probability of selecting 3 balls out of which 2 are white

P(J)=P(WWR)+P(WRW)+P(RWW)

      = 2/6 * 8/12 * 3/4 + 2/6 * 4/12 * 1/4 + 4/6 * 8/12 * 1/4 = 88/288

  Probability that the ball chosen from Urn A was white given that exactly 2 white balls  were selected

  P(A/J) = P(A ∩ J)/P(J)

            = 56/288/88/288

             = 0.636

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Answer:

Step-by-step explanation:

A = 600 x 120 = 72 000 cm^2

Area of a paving stone = 30^2 = 900 cm^2

number of paving stone = 72 000 : 900 = 720 : 9 = 80

Total cost = 2.50 * 80 = £200.00

A scale drawing of an NFL goal post uses a scale of 2 inches equal 5 feet if the actual width of the goal posts is 18 1/2 feet what is the width of the goal post on the drawing.

If 3 inches on the scale drawing represents 5 feet in actuality, determine the actual area of a kitchen if the area of the scale drawing is 45 inches 3 inches to 5 feet is 1:20

From the question asked you cannot determine the area. (No width given) You state the measurement is 45 inches (not square inches) 45 inches at 20:1 = 900 inches or 75 feet (linear)

Hence the answer is 75 ft.

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Answer:

75 ft

Step-by-step explanation:

Answer:

2 1/3's

Step-by-step explanation:

1/3 +  1/3 = 2/3

In the given problem, the number of  1/3 is in 7/9, 7/3

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 which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

the number 7/9

fraction number 1/3

the number of fraction 7/9 has of 1/3 is,

⇒ 7/9÷1/3

⇒ 7/3

Hence, the result is 7/3

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i) The first term, a is 3 and the common difference, d, is 2

ii) The first term, a is 18 and the common difference, d, is -5

iii) The first term, a is 8 and the common difference, d, is 11

iv) The first term, a is -15 and the common difference, d, is -4

v) The first term, a is 4.5 and the common difference, d, is 0.8

From the question, we are to determine the first terms and the common differences of the arithmetic sequences.

The first term, a, is the first number in the sequence and the common difference, d, is the value of the difference between the second term and the first term.

That is,

Common difference = Second term - First term

i) 3, 5, 7, 9, ...

a = 3

d = 5 - 3

d = 2

ii) 18, 13, 8, 3, ...

a = 18

d = 13 - 18

d = -5

iii) 8, 19, 30, 41, ...

a = 8

d = 19 - 8

d = 11

iv) -15, -19, -23, -27, ...

a = -15

d = -19 - (-15) = -19 + 15

d = -4

v) 4.5, 5.3, 6.1, 6.9, ...

a = 4.5

d = 5.3 - 4.5

d = 0.8

Hence, the first term is 4.5 and the common difference is 0.8

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The inequality for the statement:-2/7 is at most the product of a number and -4/5. is --4x/5 ≤ -2/7

Information from the question

the statement: -2/7 is at most the product of a number and -4/5

Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using equal to

at most means the highest value hence the answer is either the number or less.

let the number be x

x * -4/5 ≤ -2/7

--4x/5 ≤ -2/7

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Answer:

Step-by-step explanation: The number of yellow sweets is 28. Step-by-step explanation: Ratio of red to yellow sweets is 3:7. Total sweet is 40. total ratio is 3 + 7 = 10.

The probability  to unlock the tablet on his first try is [tex]P=\frac{1}{10^{9} }[/tex].

According to the statement

We have to find that the probability  to unlock the tablet on his first try.

For this purpose, we know that the

Probability is the the ratio of the number of outcomes to the total number of possible outcomes.

And

The desired outcomes is the 1 because only 1 password is the correct.

And the total outcomes is the

Nine-digit codes.so,

[tex]T=10^{9}[/tex]

Because For each digit, there are 10 possible outcomes.

And the probability is the

[tex]P=\frac{1}{10^{9} }[/tex].

So, The probability  to unlock the tablet on his first try is [tex]P=\frac{1}{10^{9} }[/tex].

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Answer:

9cm r=2x3x9= 54. Find the volume of the cube. Include units. 5cm ... Not to scale. Work out the volume of the prism. Area of front. 3x5=15. 3cm 4x8=32. 10cm.

Step-by-step explanation:

Answer:

  470 cm³

Step-by-step explanation:

You want the volume of a prism with an L-shaped base.

The volume of a prism is given by ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

The base is has an L-shape. Its area can be found by extending the horizontal line to divide the figure into two rectangles.

The top rectangle is 4cm × 5cm, so has an area of ...

  A = LW = (4 cm)(5 cm) = 20 cm²

The bottom rectangle is 9 cm × 3 cm, so has an area of ...

  A = LW = (9 cm)(3 cm) = 27 cm²

Then the total base area is ...

  B = (top rectangle area) + (bottom rectangle area)

  B = (20 cm²) +(27 cm²) = 47 cm²

Then the volume is ...

  V = Bh = (47 cm²)(10 cm) = 470 cm³

The volume of the prism is 470 cm³.

Certain figures are explained in both cases in perimeter as well as area,

to illustrate the examples of geometrical figures.

Geometrical shapes are  shapes that illustrates the shapes of different items. some figures have two dimensions, while others have three. Only the x and y axis are used for two-dimensional structure, whereas the x, y, and z axes are used for three-dimensional structures. The height of the object is displayed in the z-axis.

In Mathematics area and perimeter of certain figures are known,

Rectangle

Perimeter of a Rectangle = 2(a+b)

Area of Rectangle = a × b

Square

Perimeter of a Square = 4a

Area of a Square = a²

Triangle

Perimeter of a triangle = a + b +c , where a, b and c are the three different sides of the triangle.

Area of a triangle = 1/2 b × h; where b is the base and h is the height of the triangle.

Circle

Circumference of Circle = 2πr

Area of Circle = πr²

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Here, d-1 is the largest possible value of N.

Given info,

For an arbitrary Markov chain on a state space consisting of exactly d states, find (with proof) the largest possible positive integer n such that for some states i,j, we have p(n) ij > 0 but p(n) ij.

We will prove that N ≤ d - 1

In light of this, there are states I and j such that the path from I to j has at least N edges, which implies that the path from I to j has at least d edges.

However, since there are only d states, the distance between any two states can be no greater than d-1. N can't thus be bigger than d-1.

Now, d-1 is the largest possible N because if we take a look at a Markov chain, if I is between 1 and d, we can only move to state 2 and if I is already at state d, we can only move to state d-1. However, if I am already at state 1, we can only move to state 1 and if I am already at state 2, we can only move to state i+1.

This sample contains d-1 edges on the way from state 1 to d. N = d-1 hence holds in this situation.

Therefore, N can have a value as large as d-1.

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Answer: That is a fraction. As an improper fraction, it's 17/6.

Step-by-step explanation:

Answer:

Now, 2 5/6 is a mixed fraction. To convert a mixed fraction to an improper fraction, we have to calculate (2 + 5/6). 2 + 5/6 = (12 + 5) / 6 = 17/6. Hence, 2 5/6 as a fraction is equal to 17/6.

y = x - 3

slope: 1

y=intercept; (0,-3)

Option (a) is the correct option and the rate of change of the cost per person is 74/1.  

As, we are given the table that the cost per person to buy tickets for an upcoming concert.

Persons                             Cost

    2                                     148

    3                                     222

    4                                     296

    5                                     370

So, the rate of change is,

rate of change = change in cost / change in persons

Rate of change = (222 - 148)/(3 - 2)

= 74/1

= 74

So, 74/1 is the rate of change.

Hence, Option (a) is the correct option and the rate of change of the cost per person is 74/1.  

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Answer:

if it stopped repeating yes , if no , no

Step-by-step explanation:

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If a shuttle was launched every day, about 1 failures would one expect in 300 years.

Finding an estimate or approximation—a value that can be used for a purpose despite the possibility of incomplete, uncertain, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.

Here,

There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.

This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.

If a shuttle was launched every day, one might anticipate one failure every 300 years.

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A) The second equation is 2x - 4y +20=0, this system has no solutions.

B) The second equation is  x-2y-11=0, this system has infinite number of solutions.

An equation is a mathematical formula that expresses the equality of two expressions by connecting them with the equals sign =. The term equation and its cognates in various languages may have subtle changes in meaning.

Solving an equation with variables includes determining which variables' values result in equality. The variables for which the equation must be solved are also known as unknowns, and the unknown values that satisfy the equality are known as equation solutions. There are two sorts of equations: identities and conditional equations. An identity holds true for all variable values.

Given equation is,

2x - 4y = 22

A) Let the second equation be

2x - 4y +20=0

∴a₁/a₂=1

b₁/b₂=1

c₁/c₂=-11/10

Therefore, a₁/a₂=b₁/b₂≠c₁/c₂

Hence, the system has no solution.

B) Let the second equation be,

x-2y-11-0

Therefore,  a₁/a₂=b₁/b₂=c₁/c₂=2/1

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