What are the number of distinct subsets and number of distinct proper subsets for {a,b,c,d,e,f}?{a,b,c,d,e,f}?

The gross monthly pay for the given service is $1850

Monthly pay means the wages paid by an employer to an employee for the whole or part of the month during which the employee is employed by the employer.

Given that, the annual pay of some service is $22200, we need to calculate the monthly pay of same,

Therefore,

To find, monthly pay, we will divide annual pay by 12, because there are 12 months in a year,

Monthly pay = annual pay / 12

= 22200 / 12

= 1850

Hence, the gross monthly pay is $1850.

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Answer:

$8

Step-by-step explanation:

36-12= 24 money left for candy

24/3=8 price of each candy

To build a garden of 4 feet Deja needs 12 small bricks.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, The first garden is 4 feet long the bricks Deja is using are each 1/3 of a foot long.

Therefore, the number of bricks required is,

= 4/(1/3).

= 4×(3/1).

= 12 bricks.

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Serena needs 12 grams of the 40% solution and 8 grams of the 70% solution.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given Serena is making an experiment. for that, she needs 20 grams of a 52% solution of salt, one with 40% and the other with 70% of salt in them,

let her need x grams of the 40% solution and y grams of the 70% solution.

so x + y = 20.......(1)

and 0.40x + 0.40y = 20(0.52)

0.40x + 0.70y = 10.4

from equation 1 we get x = 20 - y

substitute in the equation 0.40x + 0.70y = 10.4

0.40(20 - y) + 0.70y = 10.4

8 - 0.40y + 0.70y = 10.4

0.30y = 10.4 - 8

y = 2.4/0.30

y= 8 grams

and x = 20 - 8 = 12 grams

Hence she use 12 grams of 40% solution and 8 grams of 70% solution.

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Answer:

Midpoint AB
[tex](3, 3)\\[/tex]

Midpoint BC
[tex]\left(8, \; \dfrac{7}{2}\right)[/tex]

Midpoint AC
[tex]\left(6, \; \dfrac{3}{2}\right)[/tex]

Step-by-step explanation:

The midpoint (x, y) between any two points(x1, y1) and (x2, y2)  can be calculated using

x = (x1 + x2)/2
y = (y1 + y2)/2

Given
A(1, 1)
B(5, 5)
C(11, 2)

Midpoint of AB
[tex]\left(\dfrac{1+5}{2}, \;\dfrac{1+5}{2}\right) = \left(\dfrac{6}{2}, \;\dfrac{6}{2}\right) = (3, 3)[/tex]

Midpoint of BC :
[tex]\left(\dfrac{5+11}{2}, \;\dfrac{5+2}{2}\right) = \left(\dfrac{16}{2}, \;\dfrac{7}{2}\right) = \left(8, \; \dfrac{7}{2}\right)[/tex]

Midpoint of AC:
[tex]\left(\dfrac{1+11}{2}, \;\dfrac{1+2}{2}\right) = \left(\dfrac{12}{2}, \;\dfrac{3}{2}\right) = \left(6, \; \dfrac{3}{2}\right)[/tex]

Tn= ¼+(n-1) ¼

Tn= ¼+ ¼n-¼

Tn=¼n

Above is an example of arithmetic sequence.

In short, an arithmetic sequence is a sequence of numbers that has a fixed pattern. The pattern in question can be formed based on subtraction or addition operations. Thus, each order of syllables will have a difference of the same magnitude.

Later, this difference will be called the difference and is generally symbolized by the letter b. Thus, an example of an arithmetic sequence can be taken as follows:

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The Values of x, y, and z will be  40, 43, and 97 for the given quadrilateral.

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

Given a parallelogram ABCD that has ∠A = y + ?, ∠B  = z, ∠C  =43 + x. and  ∠D = 97

In parallelogram opposite sides are Equal

thus,

z = 97

So, ∠B = 97

Since AD and BC are parallel

y will be the inner vertex angle of these lines

Thus,

y = 43

And Since, Sum of all angles in a triangle is 180 degrees.

For triangle ADC

97 + x + y = 180

Substitute the value of y

97 + 43 = 180

x = 40

therefore, the Values of x, y, and z will be  40, 43, and 97 for the given quadrilateral.

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The circumference of teh circle is 31.4 meter

From the question, we have the following parameters that can be used in our computation:

A circle has a diameter of 10m

This means that

d =10

The circumference is calculated as

C = pi d

Where

pi = 3.14

Substitute the known values in the above equation, so, we have the following representation

C = 3.14 * 10

Evaluate

C - 31.4

Hence, the circimference is 31.4 units

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Answer:

Below

Step-by-step explanation:

Out of 20 times 3 were spades      soooo   3/20 = .15

The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 59,049.

The number of sequences of length 10 that can be formed from the digits 1, 2, and 3 without repetition is 3^10, or 59,049.

This is because for each of the 10 positions in the sequence, you have 3 choices: 1, 2, or 3, and since repetition is not allowed, the choices for each position are mutually exclusive.

Two occurrences are mutually exclusive or disjoint in logic and probability theory if they cannot occur at the same time. The set of outcomes of a single coin toss, which can result in either heads or tails but not both, is a good example.

Mutually exclusive is a statistical word that describes two or more occurrences that cannot occur at the same time. It is typically used to describe a circumstance in which the occurrence of one result takes precedence over the occurrence of the other. War and peace, for example, cannot exist together.

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Therefore , the solution of the given problem of percentage comes out to be the total amount of water is 100 ounces.

Any value that may be expressed as a fraction of 100 is referred to as a percentage in mathematics. The acronyms "pct.," "pct," or "pc" are also occasionally used. However, the "%" symbol is usually used to signify it. The proportional amount has no dimensions and is flat. Percentages can be viewed as fractions because their numerator is 100. To indicate that a number is a percentage, the percent symbol (%) must be used after the number.

Here,

Every day, Leilani consumes a total of 70 ounces of water. This implies that she consumes a total of 70 ounces of liquid every day before and after the ride.

She downs 14 ounces of water before her morning ride to be hydrated.

We would divide the quantity she drinks prior to the bike by the entire amount of water she consumes each day, then multiply the result by 100 to get the percentage of her daily water intake that she has before the ride. It develops

=> 14/70 × 100 = 20%\s=> 20

Thus, 20 equals 100 ounces of water in total.

As a result, the answer to the given 20-ounce problem is that there are 100 ounces of water in all.

Therefore , the solution of the given problem of percentage comes out to be the total amount of water is 100 ounces.

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The true statements about the mean are second, third, and fourth.

It is algebraically described (that is, there is an equation we can use to calculate its value).

It is commonly directed as the arithmetic average.

It can be utilised for data that are calculated on a nominal scale. The mean is appropriate for data that are measured on an interval or ratio scale but not for data that are measured on a nominal scale. Nominal scale data are categorical and do not have a meaningful order or distance between categories.

The following statement about the mean is sometimes true, sometimes false:

It always resembles an actual score in the data. This depends on the specific data set and the value of the mean. If the mean is a value that appears in the data, then it corresponds to an actual score in the data. If the mean is not a value that appears in the data, then it does not correspond to an actual score in the data.

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Answer:

he coordinate of the fourth vertex will be (2,5).

Step-by-step explanation:

Given,The coordinates of the vertices of the rectangle is (-6,3), (-6,5), (2,3).

We have to find the coordinate of the fourth vertex.How to get the fourth vertex of rectangle?

On plotting the given coordinates on the graph paper, we find that the coordinates (−6, 3) and (−6, 5) lying on the second quadrantand the coordinate (2,3) lying on the first quadrant,so other coordinate will also be lying on the first quadrant.

See the attached graph.

So from the graph the coordinate of fourth vertex will be (2,5).

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(I got this from a Radom person who hade the same question sorry)

Measure of each missing angles are,

⇒ ∠EFC = 51°

⇒ ∠DFG = 51°

⇒ ∠HEF = 36°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.  

We have to given that;

⇒ m ∠CFG = 129°

⇒ m ∠HFD = 93°

Now, By figure EFG make a linear line.

So, We get;

⇒ ∠EFC + ∠CFG = 180°

⇒ ∠EFC + 129° = 180°

⇒ ∠EFC = 180° - 129°

⇒ ∠EFC = 51°

In the figure, Measure of ∠EFC and ∠DFG are vertically opposite angle.

Hence, Both are equal.

⇒ ∠DFG = ∠EFC = 51°

Here, EFG make a linear line.

Hence, We get;

⇒ ∠HEF + ∠HFD + ∠DFG = 180°

Substitute all the values, we get;

⇒ ∠HEF + 93° + 51° = 180°

⇒ ∠HEF + 144° = 180°

⇒ ∠HEF = 180° - 144°

⇒ ∠HEF = 36°

Thus, Measure of each missing angles are,

⇒ ∠EFC = 51°

⇒ ∠DFG = 51°

⇒ ∠HEF = 36°

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Answer:

A is the answer

Step-by-step explanation:

The inequality that can be used to represent the problem is given as follows:

4.5 + a ≤ 20.

Clint's total spending is divided as follows:

Then the equation that represents Clint's total cost is given as follows:

T(a) = 4.50 + a.

The maximum amount that he can spend is given as follows:

$20.

Hence the inequality that can be used to represent the problem is given as follows:

T(a) ≤ 20.

4.5 + a ≤ 20.

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The type of graph which will be made is Histogram.

A histogram is a particular kind of graph that is frequently used to examine the core, shape, and distribution of a set of data. The purpose of a histogram is to aid in summarising and providing a visual understanding of continuous data, as well as to assist users in data comparison and working with huge amounts of information.

In this given case, the user is interested in researching property tax rates in the US, so they choose 25 residences at random and research each one's property tax rate. They may visualise how the tax rates are dispersed and gain an understanding of the data's centre, shape, and spread by producing a histogram of the data. The property tax rates in the United States can then be inferred from this information.

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Answer:

the length of the median of the triangle is 6√(5) cm.

Step-by-step explanation:We can start by using the Pythagorean theorem to find the length of the base of the triangle. Since the altitude of the triangle is 12 cm, the length of the median that divides the triangle into two smaller triangles with perimeter 20 cm can be found using the Pythagorean theorem as follows:

Let's call the length of the base "b". Then, the length of the median "m" is equal to the square root of the sum of the squares of half the base and the height:

m = √((b/2)^2 + 12^2)

We know the perimeter of the triangle is 24 cm, so:

b + 2m = 24

We can substitute b = 24 - 2m into the equation for m:

m = √(((24 - 2m)/2)^2 + 12^2)

Expanding and simplifying the equation gives:

m = √(6^2 + 12^2) = √(36 + 144) = √(180) = 6√(5) cm

So the length of the median of the triangle is 6√(5) cm.

The rational function graph is of the function f(x)=1/(x-6) since it does not touch the point (6,0).

A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. "A function is a rule that assigns one output to each input. They arise when each x-value corresponds to exactly one y-value." You've undoubtedly also heard of the vertical line test.

Here,

The graph of rational function is of function f(x)=1/(x-6) as it does not touch the point (6,0).

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The average number of pairs of jeans owned by students in the sample can be calculated by taking the sum of the jeans owned by all students in the sample and dividing it by the number of students in the sample.

The sampling method used in this data collection is cluster sampling. Cluster sampling is a probability sampling technique that divides the population into separate groups or clusters and randomly selects a number of those clusters to be included in the sample. In this case, the population would be the students in the algebra class, and the clusters would be the individual students. Using a simple random sampling technique, the interviewer would select a certain number of students from the class and ask them how many pairs of jeans they own. The average number of pairs of jeans owned by the students in the sample would then be calculated by adding together the number of jeans owned by all of the students in the sample, and then dividing by the number of students in the sample.

Average number of pairs of jeans owned by students in sample = (Sum of jeans owned by all students in sample) / (Number of students in sample)

The average number of pairs of jeans owned by students in the sample can be calculated by taking the sum of the jeans owned by all students in the sample and dividing it by the number of students in the sample.

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The solution of the linear expression is (x, y) = ( -3, -1/2)

option A.

The values of x and y in the given linear expression is calculated by applying the following formula.

y = ¹/₂ˣ  + 1

y = ³/₂ˣ + 4

solve the two equations together to determine the value of x ;

³/₂ˣ + 4 =  ¹/₂ˣ  + 1

³/₂ˣ -   ¹/₂ˣ   = 1 - 4

x = - 3

Now, solve for y as show below;

y = ¹/₂ˣ  +  1

y =   ¹/₂(-3)  + 1

y = -3/2 + 1

y = -1/2

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The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20

Cost of jackets= $75

Number of shorts= 5

Cost of each short = x

Total amount Jim spent= $175

Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)

175 = 75 + 5x

subtract 75 from both sides

175 - 75 = 5x

100 = 5x

divide both sides by 5

x = 100/5

x = $20

Ultimately, each pair of shorts cost $20

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The intersection of the two graphs in ordered pair is (-5, 1)

An ordered pair is a pair of values that represent a point in a coordinate system.

An ordered pair consists of an x-coordinate and a y-coordinate, and represents a point in the x-y plane.

In an ordered pair, the order of the values is important and represents the specific location of the point in the coordinate system.

The intersection of the two lines representing the equation y = 2/5 x + 3 and y = -x - 4 is as shown on the graph to be (-5, 1)

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The linear equation is y = 20 + 2x and the complete table of values is

Kites purchased     Total cost

0                                      20

1                                      22

4                                      28

7                                     34

10                                   40

From the question, we have the following parameters that can be used in our computation:

Cost of kite = $20 for shopping and $2 per kite

When this is represented as an equation, we have

y = 20 + 2x

Where x = the number of kites purchased

Using the above as a guide, we have the following:

When x = 4

y = 20 + 2 * 4 = 28

When x = 7

y = 20 + 2 * 7 = 34

When x = 10

y = 20 + 2 * 10 = 40

So, the missing entries are $28, $34 and $40

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Answer:

Step-by-step explanation:

no

Answer:

228 hydrogen atoms

Step-by-step explanation:

If there are 114 water molecules,

Total number of atoms would be:

3 * 114 = 342 (1 oxygen and 2 hydrogen atoms in 1 water molecule)

Out of these, 2/3rd would be hydrogen atoms, so:

There would be 228 hydrogen atoms

Brainliest? :D have great day

The ordered pair that represents the solution to the system of equations is given as follows:

(-3,-0.5).

The equations of the system are given as follows:

The x-coordinate of the ordered pair representing the solution to the system of equations is given as follows:

0.5x + 1 = 1.5x + 4

-x = 3

x = -3.

The y-coordinate of the ordered pair representing the solution to the system of equations is given as follows:

y = 0.5(-3) + 1

y = -1.5 + 1

y = -0.5.

Meaning that the correct option is given by the first option.

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Ratios show that Julie earns 50% more than Simon, and John earns 12.5% less than Julie.

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

Lets divide each salary by 1,000 to express the salaries in thousands of rands:

Simon earns 4,000 / 1,000 = 4,000

Julie earns 6,000 / 1,000 = 6,000

John earns 3,500 / 1,000 = 3,500

Now, we can compare the salaries by expressing them as ratios:

Simon: Julie = 4,000 : 6,000 = 2 : 3

Julie: John = 6,000 : 3,500 = 6 : 3.5

Simon: John = 4,000 : 3,500 = 4 : 3.5

Hence, ratios show that Julie earns 50% more than Simon, and John earns 12.5% less than Julie.

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