What is the domain of the function represented by this graph?

Answer:

[tex]\frac{9}{8}[/tex]

Step-by-step explanation:

4.5 yr : 4 yr can be expressed in fractional form as

[tex]\frac{4.5}{4}[/tex] ( multiply numerator / denominator by 2 for whole numbers )

= [tex]\frac{9}{8}[/tex] ← in simplest form

The inequality can be simplified into a compound inequality:

x > 2.43

x < -16.7

Here we want to solve the following inequality:

|0.7*x + 5| > 6.7

To solve it, we need to isolate the variable x. The first thing we need to do is "break" the absolute value part, then we will get a compound inequality.

0.7*x + 5 > 6.7

0.7*x + 5 < -6.7

Now we can isolate x in both of these inequalities:

0.7*x > 6.7 - 5

0.7*x < -6.7 - 5

0.7*x > 1.7

0.7*x < -11.7

x > 1.7/0.7

x < -11.7/0.7

x > 2.43

x < -16.7

That is the solution of the inequality.

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To find the number of relations from a set A to a set B, you need to consider the number of possible mappings or functions between the elements of set A and set B.

For example, if set A has 3 elements and set B has 4 elements, then the number of relations from A to B is [tex]3^4[/tex] = 81.

Note that not all possible mappings are necessarily valid relations, for example, a function is a type of relationship that has a unique output for each input, so it's a one-to-one relation, whereas a relation can be one-to-one or one-to-many, and also it's a subset of all possible mappings from A to B.

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Answer:

The answer would be 3x/8.

Step-by-step explanation:

Both fractions would need to have a common denominator, so you could multiply x/2 by 4 on both the top and bottom to get 4x/8.

You could then subtract both the numerators from each other.

4x-x=x

The denominator will stay the same.

X/8.

The 7 types of system are-

Physical or abstract systems, open and closed systems, larger system, permanent and temporary, Natural systems, Man-made system.

Physical or abstract systems:

open and closed systems:

larger system:

Permanent and temporary:

Natural systems:

Man-made system:

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For the given mean and the number of items, the database B has smaller value of the standard deviation compare to database A.

As given in the question,

For data base A:

Number of items = 40

Mean of database A = 50

Values of database A spread between 0 to 100

For data base B:

Number of items = 40

Mean of database B = 50

Values of database B spread between 49 to 51

Standard deviation of data base

= √ (1/40)[ (x₁ - 50)² + (x₂- 50)² + (x₃ - 50)² + ......+ (xₙ - 50)² ]

Here mean and number of items of both the data base is same.

Therefore, the standard deviation of data base B is having smaller value compare to data base A.

The above question is incomplete , the complete question is :

Database A contains 40 data items and is made up with an equal number of the values of 0 and 100 and has a mean of 50. Database B also has 40 entries made up equally of the values 49 and51 and also has a mean of 50. Which database will have the smaller value for its standard deviation?

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The required function here is   C(x) =2.2x

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: One bag weighs 2.4 pounds and costs $5.28. Another bag weighs 2.7 pounds and costs $5.94.

One bag weighs 2.4 pounds and costs $5.28.

and therefore 1 pound weighing bag will cost = 5.28/2.4

                                                                             =$2.2

Thus we can construct an equation if there are x pounds then the cost function C(x) =2.2x

Hence, the required function is  C(x) =2.2x

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Proportionality can be used to find the length of side DE in the triangle by multiplying both sides by EB and dividing both sides by FC. This yields the equation DE = (FC * DF) / EB. Simplifying this equation yields DE = 31.72.

EF is parallel to BC and DF, EB, FC are given.

We can use the theorem that states:

Parallel lines have corresponding angles congruent and corresponding sides proportional.

We may use proportionality to get the length of the triangle's side DE. When two ratios are equal, this is referred to as proportionality. In this scenario, we will use the ratios of side DE to side FC and side EB to side DF. Given that side DE is proportional to side FC and side EB is proportionate to side DF, we can construct an equation stating that the ratio of side DE to side FC equals the ratio of side EB to side DF. This equation is written as DE/FC = DF/EB.

We can then solve this equation for side DE by multiplying both sides by EB and dividing both sides by FC.

This yields the equation DE = (FC * DF) / EB.

We can then plug in the given values for FC, DF, and EB to find the length of side DE.

When we do this, we get that DE = (15.4 * 20.6) / 19.3.

Simplifying this equation yields DE = 31.72.

Rounding to the nearest tenth, DE = 31.7. This is the length of side DE in the triangle.

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Answer: 3:2

Step-by-step explanation:

If 3/5 of the marbles are blue, then the last 2/5 will be yellow.

Answer:

Hey there! So as you know, 3 out of 5 marbles are blue, which can be written as 3/5. To find the ratio of blue to yellow marbles, we need to find the number of yellow marbles.

We know that 5 marbles are blue and yellow combined, and 3 of them are blue, so that leaves 5-3 = 2 yellow marbles.

So the ratio of blue marbles to yellow marbles is 3:2, or 3/2. It means that for every 3 blue marbles, there are 2 yellow marbles.

After subtraction (3x+4) - (x+7), the resultant answer is 2x-3.

One of the four operations used in mathematics, along with addition, multiplication, and division, is subtraction.

Removal of items from a collection is represented by the operation of subtraction.

For instance, in the following image, there are 5 2 peaches, which means that 5 peaches have had 2 removed, leaving a total of 3 peaches.

So, we have:

(x+7) and (3x+4)

We have to subtract as:

(3x+4) - (x+7)

Now, subtract as follows:

(3x+4) - (x+7)

3x+4 - x-7

2x-3

Therefore, after subtraction (3x+4) - (x+7), the resultant answer is 2x-3.

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The value of a base refers to the number that is used as the foundation or foundation number in a mathematical system or system of numbers. A base is typically represented by a number that is used to indicate the power or exponent to which it is raised in order to produce a certain value.

The number of base is the number of different digits or symbols that are used in a particular mathematical system or system of numbers. For example, in the decimal (base 10) system, there are 10 different digits (0–9) that are used to represent different values. In the binary (base 2) system, there are only two different digits (0 and 1) that are used to represent different values. The number of the base can also be referred to as the radix of a number system.

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Answer: The expression (p^20)(p^-4)^2 is equivalent to p^n, where n is the power of p in the simplified expression.

To simplify the expression, we need to use the rule of exponents which states that when multiplying two powers of the same base, we can add their exponents.

So, (p^20)(p^-4)^2 = p^20 * (p^(-4))^2 = p^20 * p^(-8) = p^(20+(-8)) = p^12

So the value of n is 12.

Step-by-step explanation:

The slope is m and the y-intercept is b in an equation in slope-intercept form (y=mx+b). It is also possible to rewrite some equations so that they take the shape of a slope-intercept diagram.

The slope is m and the y-intercept is b in the slope-intercept version of the equation (y=mx+b). We can also change some equations to be written in slope-intercept form.

We concentrate on the two constants (numbers) m and b when applying the slope intercept formula. The y-intercept, or the place where the graph crosses the y-axis, is represented by b, whereas m denotes the slope, or steepness, of the line.

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation.

The slope intercept form is:

y = mx + b

where b is the y-intercept and m is the slope.

You only need to enter those into the formula with the information already provided:

y= 4+ 9

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Answer: 11

Step-by-step explanation:

Let the number be N.

Let's set up the equation.

2N + 15 = 37

Let's subtract 15 from both sides.

2N = 22

Divide both sides by 2, and you get

N = 11

Final Answer : 11

If a lever was used with an effort arm of 12 meters and a load arm of 6 meters, the work that would have been done would've been (A) 50 J.

Using a lever makes work simpler and quicker since it only takes a bit of effort to move a heavy load.

The efficiency of the machine goes up when the output force is bigger than the input force - the formula for this is Output Force divided by Input Force.

Eff = ( output force/input force ) x 100 %

The amount of force you get is determined by this equation.

F ( out ) = load x distance moved by the load

The force you put in is calculated using this equation.

F ( input ) = effort x distance moved by the effort

If we had used a lever with an effort arm of 12 meters and a load arm of 6 meters, the work that would have been done could be calculated.

work = ( 600   x 6  ) / ( 12  x 6  )

work = 50 J

Therefore, if a lever was used with an effort arm of 12 meters and a load arm of 6 meters, the work that would have been done would've been (A) 50 J.

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Complete question:

600 joules of work are used to lift a box from the ground to a height of six meters. how much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters?

a.  50 J

b. 100 J

c. 600 J

d. 72 J

$30 is the price for 12 tickets and A further ticket costs $2.50.Simply expressed, a single unit value is extracted from a specified multiple .

The unit technique is a method of problem-solving where you first calculate the value of a single unit, then multiply that value to get the answer. Simply expressed, a single unit value is extracted from a specified multiple using the unit method.  The method used to accomplish this might be standardized. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and opposite are comparable. (Linear Algebra, Academic Analysis, Mathematics of Matrix or Operators)

given

0 - 00

4 - $ 16

$30 is the price for 12 tickets.

A further ticket costs $2.50 as it traverses the source,

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The complete question is :- The costs of movie tickets are shown in the table.

Type of Ticket Cost per Ticket

Child $6.50

Adult $8.50

Senior $5.50

Which equations represent the total cost, c, to buy 2 of each type of ticket? Choose all that apply.

c = $6.50 + $8.50 + $5.50

c = (2 × $6.50) + (2 × $8.50) + (2 × $5.50)

c = ($6.50 + $8.50 + $5.50) ÷ 3 × 2

c = 2 × $6.50 × $8.50 × $5.50

c = ($6.50 + $8.50 + $5.50) × 2

Answer: 8 teas were caffeinated

Step-by-step explanation:

To solve is to turn 25% into a decimal:

This is 25/100 turned into 0.25

*Multiply this by 32

This gives the number 8

*To do this, multiply without the decimal: 25 x 32 = 800

Then place the decimal back 2 places to the left of the last number:

8.00

The expression that is equivalent is  b Over a. Option D

Index form of a number can simply be defined as that number written as an exponential expression.

It could also be written as a single number that is raised to another number.

Other names for index forms are scientific notation and standard forms.

From the information given, we have that;

This can be represented as;

b^-2/ab^-3

Take the inverse of the denominator

b^-2 × a^-1 b^3

Now, add the exponents of the like variables

b^-2+3 . a^-1

Add the exponents

b^1.a^-1

Hence, the expression is b/a

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Answer: 12

Step-by-step explanation: 22+26=48

60-48=12. SO she 12 minutes left

The cost of Lisa food is 32 dollars.

Lisa ordered food from a delivery service. She tipped the driver $4.80. This was 15% of the total cost of her food. The cost of her food can be calculated as follows:

Therefore,

let

x = cost of her food

Hence,

15% of x = 4.80

15 / 100 × x = 4.80

0.15x = 4.80

divide both sides by 0.15

Hence,

x = 4.80 / 0.15

x = 32 dollars

Therefore,

cost of food = 32 dollars.

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Answer:

Step-by-step explanation:

yeah hope its was helpful

Answer:

A,C,E

Step-by-step explanation:

group:children

4x6=24 good

12x2=24 but has to have more than 2 children in each group

8x3=24 good

4x9=36 36>24

2x12=24 good

Answer:

4

Step-by-step explanation:

(8x-2)+15x+90=180

Combine like terms

23x+88=180

-88 -88

23x=92

÷23 ÷23

X=4

Answer:

d. parallel

I wish you luck in your assignments.

Using division we know that each job site will receive 458 sand bags.

Multiplication is the opposite of division.

If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group.

Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division.

So, we know that:

Number of bags: 10992

Bags to be distributed are 24 jobs.

Now, to know the number of bags each job site will receive:

10992/24

458

Therefore, using division we know that each job site will receive 458 sand bags.

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The percentage of piece of cake not served is 8.33%

Now, According to the question:

Let's know:

What is percentage ?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given ,

Total number of equal pieces of cake = 24 piece

Number of pieces served at the party =?

So, Number of pieces of cake not served = 20 - 18

Fraction of cake not served =

Number of pieces not served/ Total no. of pieces of cake

Fraction of cake not served = 2/24

Fraction of cake not served =  1/12

Now, In percentage = [tex]\frac{1}{12}[/tex]× 100 = 8.33%

Hence, The percentage of piece of cake not served is 8.33%

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The two different types of factor analysis are confirmatory and exploratory.

A technique for simulating observed variables and their covariance structure in terms of unseen variables is component analysis (i.e., factors). The two different types of factor analysis are confirmatory and exploratory.

A key phase in the scale building process is exploratory factor analysis (EFA), which is a technique to examine the underlying structure of a group of observed variables. Factor extraction is EFA's first stage. We will talk about how principal components analysis and common factor analysis approach variance partitioning differently.

Confirmatory factor analysis (CFA), a technique for confirming a factor structure that has already been developed, will be covered in the seminar's last section. Identification, model fit, and degrees of freedom will be discussed in relation to the three-item, two-item, eight-item, one-factor, and two-factor CFAs. For the EFA and CFA portions of the seminar, respectively, SPSS and R (lavaan) will be used.

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Answer: 10

Step-by-step explanation:

5x2 = 10

Answer:

10 lol.....................

Answer:

y=x-4

Step-by-step explanation:

y=mx+b

Answer: y=x-4

Step-by-step explanation:

The first step is to see what point runs through the y-axis, so you can get your y-intercept. The line runs through (0, -4), so -4 will be your y-intercept.

To calculate the slope, we can use the formula, y2-y1/x2-x1 to find the slope. We have to take two definite points to solve this. an example of two definite points is (1, -3), and (0,-4). So the change in y would be              -4-(-3), which is -1, and for the change in x, 0-1 is -1 (Think of (1,-3) as point one, and (0,-4) as point 2). SO -1/-1 is 1, making the slope 1, making the equation y=x-4