Find the domain and range of the following graph
Write your answer as an interval.

The intersection between the complement of set A and the complement of set B is 7.

A Venn diagram is a visual representation that shows mathematical sets as circular curves inside of a rectangle (known as the universal set).

From the Venn diagram, we are to find the intersection between the complement of set A and the complement of set B.

[tex]\mathbf{A^c = \{ 7,6,11 \}} \\ \\ \\ \mathbf{B^c = \{7,9,13 \}}[/tex]

Therefore, the intersection between the two sets is the set of elements that exists in both of them. Therefore, we have:

[tex]\mathbf{n(A^c \cap B^c) = \{7\}}[/tex]

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Answer:

principal (p)=$1300

Interest (I) =$28.67

Time( T) = 1 year

R=?

we have,

R = I*100/T*R

Answer:

–6x + 15 < 10 – 5x

An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

Step-by-step explanation:

When you break down -6x + 15 < 10 - 5x, you get x > 5.

Because x is GREATER than 5, when making a number line, there is an open circle on 5 and a bold line pointing to the right.

The volume of the block after cutting out the smaller cubes is  [tex]\frac{63}{125}[/tex] cubic units.

Given that, Sarah has a solid wooden cube with a length of 4/5 centimetres. From each of its 8 corners, she cuts out a smaller cube with a length of 1/5 centimetre.

We need to find the volume of the block after cutting out the smaller cubes.

The volume of a cube is defined as the total space enclosed by the cube in a three-dimensional space. The formula to find the volume of a cube is a³, where a=edge of a cube.

Now, the volume of a solid wooden cube with a length of 4/5 centimetre

[tex]=(\frac{4}{5} )^{3} =\frac{4}{5} \times \frac{4}{5}\times \frac{4}{5}=\frac{64}{125}[/tex] cubic units.

The volume of a smaller cube with a length of 1/5 centimetre

[tex]=(\frac{1}{5} )^{3} =\frac{1}{5} \times \frac{1}{5}\times \frac{1}{5}=\frac{1}{125}[/tex] cubic units.

The volume of the block after cutting out the smaller cubes[tex]=\frac{64}{125}-\frac{1}{125}=\frac{63}{125}[/tex]

Therefore, the volume of the block after cutting out the smaller cubes is  [tex]\frac{63}{125}[/tex] cubic units.

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Answer:

the answer is 64/125 <3

The required probabilities are as follows:

a) P(X=5) = 0.123

b) P(X6) = P(X=6+X=7+X=8+X=9+X=10)

c) P(X4)=P(X=0), P(X=1), P(X=2), and P(X=3)

Using a binomial random variable, the following is modeled:

There are always ten (10) persons that are being questioned.

From trial to trial, the likelihood of success (i.e., very little faith in newspapers) remains consistent (p=0.68).

The trials are impartial (a reasonable assumption, since the response of 1 of the people should not affect the response of any other)

There are just two possible results for each trial: low faith in newspapers or not.

X counts how many of the 10 trials were successful.

P(X=k) = is the probability mass function for the binomial random variable.

= [tex]^nC_k\times(p^k)\times(1-p)^{n-k}[/tex]

a) P(X=5) =[tex]^{10}C_5\times(0.68)^5\times(0.32)^5[/tex]≈ 0.123

b) P(X6) = P(X=6+X=7+X=8+X=9+X=10)

These may all be calculated individually, then summed together.

c) P(X4)=P(X=0), P(X=1), P(X=2), and P(X=3)

the same concept as in (b) above.

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The maximum value of the objective function is 31.787

The given parameters are:

Objective function:

Max P = 4x + 5y + 21

Subject to:

y- x < 1

21x + 7y < 25

x>-2,  y>-4

Rewrite the inequalities as equation

y - x = 1

21x + 7y =  25

Add x to both sides in y - x = 1

y = x + 1

Substitute y = x + 1 in 21x + 7y =  25

21x + 7x + 7 =  25

Evaluate the like terms

28x = 18

Divide both sides by 28

x = 0.643

Substitute x = 0.643 in y = x + 1

y = 0.643 + 1

y = 1.643

So, we have:

Max P = 4x + 5y + 21

This gives

P = 4 * 0.643 + 5* 1.643 + 21

Evaluate

P = 31.787

Hence, the maximum value of the objective function is 31.787

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Answer:

1500

Step-by-step explanation:

3/7 of 3500

=3/7 × 3500

=150

Answer:

120

Step-by-step explanation:

3(x+4)(x+1)

3((4)+4) ((4)+1)

(12 + 12)(4+1)

(24)(5)

120

If you need the other function, here:

(4+2)(4-2)

6(2)

12

Answer:

below

Step-by-step explanation:

3×x=12

3×4=12

3(x+4)=12+12+12+3=39

Answer:

This is my answer↓:

Step-by-step explanation:

He school play sold $550 in tickets one night.

The number of $8 adult tickets was 10 less than twice the number of

$5 child tickets.

How many of each ticket were sold

Let say child ticket sold = x

Adult tickets was 10 less than twice the number of    child tickets.

=> Adult ticket sold = 2x - 10

Child ticket sold = x

$5 child tickets price

=> Revenue = 5x  $

Adult ticket sold = 2x - 10

$8 Adult tickets price

=> Revenue = 8(2x - 10) =16x - 80 $

5x + 16x - 80 = 550

=> 21x = 630

=> x = 30

Child ticket sold = 30

Adult ticket sold = 50

Total ticket sold = 80

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A translation 2 units to the left followed by dilation by 1/2.

The correct option is (B).

It states that that two triangles are said to be congruent if they are copies of each other and when superposed, they cover each other exactly.

The complete question is:

Which of the following composition of transformations would create an

image that is not congruent to its original image?

A rotation of 45° followed by a reflection across the x-axis

A translation 2 units to the left followed by dilation by 1/2

A reflection across the y-axis followed by a rotation of 60°

A rotation of 135º followed by a translation of 4 units to the right.

After a translation of 2 units to the left followed by dilation by 1/2 the image will not be congruent to its original image.

All other options are reflection and rotation, which not fit into the situation.

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Supply and demand can help consumers make informed decisions about their purchases, anticipate price fluctuations, and stay up to date with market trends.

We have to give that,

To find supply and demand affect on consumers.

Supply and demand have a significant impact on consumers.

When the demand for a product or service is high and the supply is limited, it can lead to higher prices.

On the other hand, when there is high supply and low demand, prices tend to be lower.

For consumers, this means that when the demand for a product is high, they may have to pay more or face limited availability.

Conversely, when the demand is low, consumers may find discounted prices or special promotions.

Supply and demand dynamics also influence the choices available to consumers.

For example, if the demand for a particular type of product increases, companies may introduce new variations or brands to meet consumer preferences.

This can lead to a broader range of options for consumers to choose from.

In summary, understanding supply and demand can help consumers make informed decisions about their purchases, anticipate price fluctuations, and stay up to date with market trends.

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Answer:

the answer is D)

a multiple of thirty

Answer:

divide both sides by 3

Step-by-step explanation:

Solving the equation means to have y alone on the left side equaling a number.

Since the variable y is being multiplied by 3, the next step is to do the opposite operation to "multiplying by 3" which is "dividing by 3." Since the rule in algebra is that you must do the same operation to both sides of an equation, the next step is:

divide both sides by 3

The values of x for which the expression [tex](x^{2} +4x+32)/(x^{2} -x-10)(2x^{2} +4x^{3} )+4x^{3} /x^{2} +3x/x^{2} +3x+2/x[/tex]is undefined are 0,[tex]\sqrt{41} /2[/tex] and imaginary numbers.

Given Expression :x^2+4x+32/x^2−x−10∗2x^2+4x^3/x^2+3x÷x^2+3x+2/x

We have to find out those values of x for which the expression does not exists.

[tex](x^{2} +4x+32)/(x^{2} -x-10)(2x^{2} +4x^{3} )+4x^{3} /x^{2} +3x/x^{2} +3x+2/x[/tex]

We have to take LCM of the expression which is equal to [tex]x^{3}(x^{2}-x-10)(2x^{2} +4x^{3})[/tex]

LCM is the smallest positive integer that is divisible by both the numbers whose LCM is found.

and it is present in the denominator.

Expression if exists cannot take denominator equal to 0.

So, by putting  LCM equal to zero we find

x=0,x=imaginary numbers and x=[tex]\sqrt{41} /2[/tex].

Hence the given expression have not take values of x=0,[tex]\sqrt{41} /2[/tex], imaginary number.

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Answer:

2x^2 +15x = 6

Step-by-step explanation:

the form of this equation makes it easier to use the completing the square method

Answer: It is possible to draw different lines to approximate the same data. The line of best fit is only an estimate.

Step-by-step explanation:

3 1/2 = 3,5 kg → ? g

1 kg = 1.000 g

• Convert kg to g.

= 3,5 kg

= 3,5 × 1.000

= 3.500 grams IS THE ANSWER

Considering the given stem-and-left plot, the median = second quaritle of the data set is of 84.5.

The median of a data-set is the 50th percentile, that is, the value that separates the bottom 50% of scores from the upper 50% of scores.

This data-set has even cardinality of 26, hence the median is the mean of the 13th and 14th scores, which, considering the key for the stem-and-leaf plot, are 84 and 85, hence:

Me = (84 + 85)/2 = 84.5.

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Answer:

D. The graph of g(x) is shifted 3 units right and 4 units down.

Step-by-step explanation:

The graph of g(x) is shifted 3 units right and 4 units down

Answer:

2.5 pi

Step-by-step explanation:

Comment

If you were trying to get the area of a whole circle, you would use

Area = pi r^2

You have to modify the formula to show that just part of the circle has an area that you are interested in.

The new formula is

Area = (theta/360) pi r^2

Givens

r = 30 cm

theta = 100

Solution

Area = (100 / 360) * pi * r^2       Substitute the givens into this formula

Area = (5 / 18) * pi * 3^2              Expand

Area = (5 / 18) * pi * 9                  Cancel 9 into 18

Area = 5/2 * pi

Area = 2.5 * pi

The y-intercept of the quadratic equation is -47.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given quadratic equation;

    f(i) = i² + 10i - 22

or, y = i² + 10i - 22

     y = i² + 2.5x - (47-25)    

    y = i² + 2.5x + 25 - 47

    y = (i+5)² - 47

Thus, the y-intercept of the quadratic equation is -47.

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Answer: 40 km

Step-by-step explanation:

As corresponding sides of similar triangles are proportional, if we let the distance across Clarence lake be x,

[tex]\frac{x}{8}=\frac{15}{3}\\\\\frac{x}{8}=5\\\\x=\boxed{40 \text{ km}}[/tex]

Answer:

[tex]x\geq 12[/tex]

Step-by-step explanation:

[tex]-3/4x + 2 \leq -7\\-3/4x \leq -9\\x \geq 12[/tex]

Answer:

D.

Step-by-step explanation:

He has to walk down 3 blocks and right 10

Answer:

125250

Step-by-step explanation:

I just askeked and it gave me the answere

Answer: [tex]-49x^{5} - 34x^{3} - 68[/tex] or [tex]49x^{5} + 34x^{3} + 68[/tex]

Step-by-step explanation:

Since both groups have the same variables and exponents, just align them and add.

[tex]-54x^{5}+5x^{5} = - 49x^{5}[/tex]

[tex]35x^{3} - 69x^{3} = -34x^{3}[/tex]

- 61 - 7 = - 68

[tex]-49x^{5} - 34x^{3} - 68[/tex]

Answer:

no lo sé no lo sé

Step-by-step explanation:

solo se que nada se

X = 6

Y = (-6)

Answer:

2 erasers cost $1.20

Step-by-step explanation:

Nigel bought 10 pencils and 5 erasers for $8.

We can write this algebraically:

10p + 5e = 8

We know that the price of 2 pencils is $1. That is $0.50/Pencil.

So, p = $0.50. Now we can plug that into out equation and find the price of one eraser:

10(0.50) + 5e = 8

5 + 5e = 8

5e = 3

e = $0.60

Now, we have the price of one eraser, $0.60, and we can multiply this by 2 to find the price of 2 erasers, which equates to $1.20.

The transformation of a function may involve any change. The function with the graph are given below.

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, then:

Horizontal shift (also called phase shift):

Vertical shift:

Stretching:

The real graph of the function is f(x)=x², now if the graph of the given function can be found by using the transformation rule as shown above. The function with the graph are given below.

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The value of TC(10) is 5300 Dollars

Given function is TC(Q) = 500Q +300 dollars

We need to calculate the value for TC (10)

As we know that the equation given is TC(Q) = 500Q + 300 dollars

Q is the number of TVs produced

Therefore, The value of Q is 10 for TC(10)

Substituting the value of Q

in the total cost of flatiron TVs given by function TC(Q) = 500Q + 300 dollars That Q= 100,

TC(10) = 500(10)+300 dollars

∴ TC (10) = 5000+300 dollars

∴ TC (10) = 5300 dollars

Hence the value of TC(10) is 5300 Dollars

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