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Range - { 6, 7, 8,9 ,10, 11 } is the domain and range of this relation.

What is domain and range in math?

How are the domain and range determined?

the domain and range of this relation -

Domain - { 1 , 2, 3, 4, 5, 6 }

Range - { 6, 7, 8,9 ,10, 11 }

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The probability of drawing a club from a deck of cards is 1/4

In a standard deck of cards, we have the following parameters

Club = 13

Cards = 52

The probability of drawing a club from a deck of cards is calculated as

P = Club/Cards

This gives

P = 13/52

Simplify the fraction

P = 1/4

Hence, the probability of drawing a club from a deck of cards is 1/4

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Tables cost $800 each, while chairs go for $200 each in an online furniture retailer. The store must sell at least $8000 worth of chairs and tables each day and can only ship a maximum of 19 pieces of furniture per day. Find the bare minimum of tables that the shop must sell to satisfy the requirements if 7 chairs were sold.

If  chairs were sold, the minimum number of tables that the store must sell in order to meet the requirements is 4 tables.

Let x be number of chairs

y be number of tables

Given every day, the store can ship at most 19 pieces of furniture

Then we can write x+y=19--------->equation(1)

Given an online furniture store sells chairs for $200 each and tables for $800 each.

200x is the revenue of number of chairs.

800y is the revenue of number of tables.

And given must sell a minimum of $8000 worth of chairs and tables.

Then we can write 200x+800y=8000---------->equation(2)

We have to find out If 7 chairs were sold, determine the minimum number of tables that the store must sell in order to meet the requirements.

When x=7 what is y=?

By substituting x=7 in equation (1)

7+y=19

y=19-7

y=12

Now, substitute the x=7 in equation(2)

200(7)+800y=8000

1400+800y=8000

800y=8000-1400

800y=6600

y=[tex]\frac{6600}{800}[/tex]

y=8.25

y=9

We got 2 required values when x=7.

They are y=9 and y=12.

Therefore, the possible values we get are y=9,10,11,12.

If  chairs were sold, the minimum number of tables that the store must sell in order to meet the requirements is 4 tables.

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Answer:

Step-by-step explanation:

a. 0.5+0.3 = 0.8

b. 2.7+28.2 = 30.9

c. 3.1+2.4+9.9 = 15.4

d. 15.2+1.4+0.8 = 17.4

e. 39.2+2.5+0.9 = 42.6

Answer:

Another way to ask this question would be “what is the fraction 24 out of 100 in simplest form?”

The simplest ratio that is equivalent is six out of 25. The denominator represents the total number of students and six of them are left-handed. So the smallest possible class size is 25. Any number smaller than that would result in a numerator that is not a whole number.

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The next point to be graphed after graphing the y-intercept since the slope is negative and the graph cuts of at; (0, -10) is; (-5, 5).

According to the task content; it follows that the next point to be graphed apart from the given y-intercept is to be determined.

It follows from comparison with the slope-intercept form of a linear equation;

y = mx+c that the slope of the given equation is; -3.

Hence, considering the point, x = -5, the value of y is;

y = -3(-5) -10

y = 15 - 10

y = 5.

Therefore, the required coordinate to be graphed is; (-5, 5).

Ultimately, the next point to be graphed after graphing the y-intercept since the slope is negative and the graph cuts of at; (0, -10) is;

(-5, 5).

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The surface area is 10x²+18x sq. units and volume of the rectangular prism is 2x³ + 6x² cubic units.

As given,

In rectangular prism

Base side lengths x and x+3

Height = 2 x

Volume of a rectangular prism V = l w h

V = volume , l =length, w= width  h =height.

For rectangular prism,

V = (x). (x +3). (2x)

  = (x² +3x)2x

  =2x³ +6x²cubic units

Surface Area of Rectangular Prism:

=2(x*2x)+2(x(x+3))+2(2x(x+3))

=4x²+2x²+6x+4x²+12x

=10x²+18x sq. units

Hence, the surface area is 10x²+18x sq. units and volume of the rectangular prism is 2x³ + 6x² units

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Probability that a fifth bird landing at a randomly selected point between birds 1 and 4 will sit at some point between birds 3 and 4 is 1/3.

As given,

Total number of birds sitting on a telephone wire=4

Possible sitting arrangement is

Bird1__Bird2 __Bird3___Bird4

Total possible number of space between birds 1 to 4=3

Possible favourable outcomes (between 3 and 4)=1

Probability fifth bird sitting between point 3 and 4

= (Number of favourable outcomes)/ Total number of outcomes

= 1/3

Therefore, probability of a fifth bird sitting at some point between birds 3 and 4 is 1/3.

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Answer:

7×10= 70

70-8= 62

Answer62

I bought 3 one-pound bags of peanuts and 2 three-pound bags of peanuts.

Firstly forming the equation according to the given information in question. Let us represent one-pound bags of peanuts with x and three-pound bags of peanuts with y.

Equation based on number of bags bought -

x + y = 5 - Equation 1

Rearranging equation 1 according to x

x = 5 - y - Equation 2

Equation based on cost of bags -

2x + 5.5y = 17 - Equation 3

Keep the value of x from Equation 2 in Equation 3

2 (5 - y) + 5.5y = 17

Performing multiplication of brackets

10 - 2y + 5.5y = 17

Rearranging the equation and performing subtraction

3.5y = 7

Shifting 3.5 to denominator on Right Hand Side of the equation

y = 7 ÷ 3.5

Performing division

y = 2

Calculating value of x by keeping value fo y in Equation 2

x = 5 - 2

x = 3

Thus, I bought 3 one-pound bags of peanuts and 2 three-pound bags of peanuts.

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Money received in tenth month: $104, as found by the formula of arithmetic progression.

The formula used here is recursive.

A series of numbers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given: Money received in first four months: $50, $52, $55, %59.

To find: Money received in tenth month.

Finding:

As we can see, the pattern followed here is: increment in each amount received each month by $1. Thus it is an arithmetic progression.

That is: 50, 52 (0+2), 55 (2+3), 59 (2 + 3 + 4) and so on.

Thus, for the tenth month, we can use the formula of recursion, given by: [tex]a_n=a_{n-1}+d[/tex], n ≥ 1.

For a₁ = 50, a₂ = a₁ + 2

=> a₂ = 50 + 2

This way, a₅ = a₄ + 5

=> a₅ = 59 + 5 = 64

a₆ = a₅ + 6

=> a₆ = 64 + 6 = 70

a₇ = a₆ + 7

=> a₇ = 70 + 7 = 77

a₈ = a₇ + 8

=> a₈ = 77 + 8 = 85

a₉ = a₈ + 9

=> a₉ = 85 + 9 = 94

a₁₀ = a₉ + 10

=> a₁₀ = 94 + 10 = 104

Thus, the payment received in tenth month will be $104.

The formula so used is recursive, as the consequent values of the given arithmetic sequence are obtained from the preceding values.

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Following a 180-degree rotation, the new points are (3,1)

The size of the image will either rise or decrease depending on the answer to the question. And there are two ways to rotate: clockwise and counterclockwise. The coordinate values will vary depending on the quadrant.

Consequently, the new points upon rotation are (3,1).

The word "reflection" flips or creates a mirror image of the object. An picture is rotated by rotating it either clockwise or anticlockwise. Finally, translation moves certain parts of the picture.

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Suppose the given number is 3.441

The first 4 is in the tenth place that is written like  or 0.4

The second 4 is in the hundredth place that is written like  or 0.04

We can see that the second 4 is one tenth times the first 4.

This is shown like,

1/10 x 1/10 =  1/100

Or we can say the opposite that the first 4 is ten times the second 4.

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Answer: t = 6/11

Step-by-step explanation:

3t - 2 + t = 4 - 7t

4t - 2 = 4 - 7t

4t + 7t = 4 + 2

11t = 4 + 2

11t = 6

Divide both by 11

Answer : t = 6/11

Answer:

t = 6/11

Step-by-step explanation:

Hello!

Solve the equation for t by isolating the variable.

The value for t is 6/11.

A line is seen on the graph. The horizontal displacement is 2 units, and the graph's rate of change is 0.5.

Point A's coordinates are: (2,1).

Point B's coordinates are: (4,2).

The coordinates of the point change from (2.1) to (2.1) as you go from point A to point B. (4,2).

Consequently, the change in x-coordinate is what determines the point's horizontal displacement and will be,

4 2 2

Therefore, the horizontal displacement is two units.

The vertical displacement is also one unit.

Now, the graph's rate of change may be calculated by looking at the graph's line's slope.

The rate of change will thus be,

m = y2- y1 / x2 - x1

m =2-1 / 4-2

m = 1/2

Consequently, the rate of change = 0.5

horizontal displacement = 2 units.

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What is the vertical change from Point A to Point B?

1

What is the horizontal change from Point A to Point B?

What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary

The equation of the line in slope-intercept form passing through the point (-2 , 1) and perpendicular to 3x + y = 1 is y = (1/3)x + 5/3.

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The slope-intercept form of the equation of a line is given by the formula:

y = mx + b

where m is the slope of the line

b is the y- intercept

If the line is perpendicular to 3x + y = 1, then their slopes are negative reciprocal of one another. To get the slope, m, of the equation, express it in slope-intercept form.

3x + y = 1

y = -3x + 1

m = -3

m = 1/3

Substitute the values of the slope and the point to solve for the y-intercept, b.

y = mx + b

1 = 1/3(-2) + b

b = 5/3

Write the equation of the line by plugging in the value of the slope and y-intercept.

y = mx + b

y = (1/3)x + 5/3

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As the value of Square root -√5 is equal to -2.23, and the value of Square root -√3 is -1.73, which is larger.

The value of Square root -√5 = -2.23, and the value of Square root

-√3 = -1.73, which is larger.

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On solving the equations, the total cost is 25.86.

The cost of ham is $4.80 a pound.

The cost of cheese is $6.3 for a pound.

Cheese weighing pounds was provided for $14.76.

Let "a" represent the cost of a pound of ham, and "b" represent the cost of a pound of cheese.

Given the available information,

1.3a + 0.8b = 11.28 —— (1)

1.50 +1.2b = 14.76 —— (2)

From the equation now (1).

11.28 -0.8b 1.3 (3)

Now, using equations (2) and (3), we obtain the following: 11.28 0.8 b. 1.3)+1.2 b. 14.76. 12.97 0.92 b+1.2 b. 14.76 0.28 b. 1.79 b. 6.3

The result of adding the value of b to equation (3) is 11.28 0.8. (6.3)

1.3 a = 4.8

The cost of ham is $4.80 a pound.

The cost of cheese is $6.3 for a pound.

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Answer:

5 Sessions

Step-by-step explanation:

$75+$25. $100+20 | Prices

125. 140. | + Cost of Session

150. 160

175. 180

200. 200

225. 220

The value of the expression 2(2x²-x)-3(x²-x)+x²-x at  x=3 is 18.

An algebraic expression is an expression having constant and variable joined with algebraic operation(+,-,×,÷).

According to the question  

2(2x²-x) - 3(x²-x) + x²-x

Since we do not have to simplify the expression before evaluating it we will substitute the value of x=3 in the above expression .

=2(2*3² -3)-3(3² -3)+3²-3

=2(2*9-3)-3(9-3)+9-3

=2(18-3)-3(6)+6

Simplifying further we get

=2(15)-18+6

=30-18+6

=36-18

=18

Therefore , the value of the expression 2(2x²-x)-3(x²-x)+x²-x for x=3 is 18.

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The function f(x) = |x| + 5 undergoes horizontal shrinking by a factor of 3 to get; f(x) = |¹/₂x| + 5

There are different ways of transforming a function such as dilation, translation, reflection, stretching, shrinking e.t.c

Now, To stretch or shrink the graph in the y direction, what needs to be done is to multiply or divide the output by a constant. Now, f(2x) simply means that the function f(x) is stretched in the x direction by a factor of 2,. Meanwhile, f(¹/₂x) means that the function f(x) is shrunk in the x direction by a factor of 2 (or stretched by a factor of ¹/₂).

Now, we are told that the function f(x) = |x| + 5 undergoes horizontal shrinking by a factor of 3. Applying the above rule for shrinking gives us;

f(x) = |¹/₂x| + 5

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The arithmetic sequences are given as follows:

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

Hence, the arithmetic sequences are given as follows:

For the other sequences, there are different differences between consecutive terms, hence the sequence is not arithmetic, for example:

10 - 5 = 5, 20 - 10 = 10.

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Answer:

x=46 and y=42

Step-by-step explanation:

make 2y+6 equal to 8y-102 to solve for y as they are vertically oppisate angles which make them equal.

then substitute the new value for y into either expression and solve x using the rule a straight line is equal to 180.

Answer:

the answer is c !!!!!!!!!!!!!!!!!!

Find the slope of the line through (3,5) , parallel to y=5 x-1

Slope=5

How to find slope?

Given:

y=5x-1 ( where, slope=5)

Any line parallel to y=5x-1  also has slope 5

What is the line?

y=5x+b

We can find b ,using the given points  (3,5)

5=15+b

b=-10

The line is, y=5x-10

What is a slope?

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Answer:

[tex]-\frac{67}{100}[/tex]

Step-by-step explanation:

Answer:

67/100

Step-by-step explanation:

0.67/1×100/100=67/100

if wrong i tried T^T

Answer:

I think the answer is 92 lines because of the regularity of the figure

The fraction 17/54 as a decimal to the nearest hundredth is 0.32

Given fraction is 17/54

In decimal form it is 0.3148.

To round it to the nearest hundredth, we have to make round it to two decimal places.

So 17/54 = 0.3148 = 0.32

0.32 is the decimal form of 17/54 to the nearest hundredth.

We can verify this by multiplying and dividing 100 to 0.32,

That is 0.32 = 32/100.

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Answer:

x = 1

y = -4

but I am not sure about z

Step-by-step explanation:

please check with your calculator first

The value of x for the equation 1/4 - x = x/8 is x = 2/9.

According to the given question.

We have an equation 1/4 - x = x/8.

As we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.

Here, we have to find the solution of the equation 1/4 - x = x/8 for x.

So, the solution of the given equation 1/4 - x = x/8 for x is given by

1/4 - x = x/8

⇒ 1/4 = x/8 + x           (adding x both the sides)

⇒ 1/4 =  x + 8x/8  

⇒ 1/4 = 9x/8

⇒ (1/4)(8)  = 9x

⇒ 2 = 9x

⇒ x = 2/9           (dividing both the sides by 9)

Hence, the value of x for the equation 1/4 - x = x/8 is x = 2/9.

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