A. Write the word " SOLUTION" below the point/s that will satisfy the linear inequality y ≥ x + 4.show you solution
pati din B ah​

The greatest common factor ( GCF ) of 21 , 14 and 7 is given by A = 7

The Greatest Common Divisor GCF or the Highest Common Factor HCF is the highest number that divides exactly into two or more numbers. It is also expressed as GCF or HCF

Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers

Product of HCF x LCM = product of two numbers

Given data ,

Let the GCF of the numbers be represented as A

Now , the equation will be

Let the first number be p = 21

Let the second number be q = 14

Let the third number be r = 7

Now , the factors of 21 = 1 , 2 , 3 , 7 and 21

The factors of 14 = 1 , 2 , 7 and 14

The factors of 7 = 1 and 7

So , the greatest common factors of 21 , 14 and 7 is 7

Hence , the GCF is 7

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To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.

In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.

This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.

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Answer: 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.

Let's find 25% of 50.

Explanation:

25% of 50 can be written as 25% × 50

= 25/100 × 50

= 25/2 = 12½ = 12.5

Thus, 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.

The measure of each angle in complementary angles with measures 3x and 6x - 18 degrees is 36° and 54°.

We are given two angles 3x and 6x - 18 and these angles are complementary angles.

Complementary angles are those whose combined angle is 90 degrees or less. In other terms, two angles are said to be complimentary if they combine to make a right angle.

So, sum of 3x and 6x - 18 is 90°

     3x + 6x - 18 = 90°

                    9x = 108°

                      x = 12°

So, 3x = 3 × 12 = 36°

     6x - 18 = 6 × 12- 18 = 54°

Hence, the measure of each angle is 36° and 54°.

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The kind of triangle which is shown in the image is Obtuse triangle. The Option B is correct.

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

Characteristics of Obtuse Angled Triangle:

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Option D. The faculty should use the median to make their argument. The median will be lower than the mean since the mean is influenced by the few extremely high salaries.

Mean is the average of any data set whereas the median is the middle value we get after arranging the data in ascending order.

So for example, if the salaries of any 5 faculty members are as follows:

$10,000 , $50,000 , $80,000 , $150,000 , $160,000

Mean= (10,000+50,000+80,000+150,000+160,000) / 5

Mean= $90,000

Median= (5+1) / 2

Median= 6/2

Median= 3rd value

As the data is already arranged in ascending order, Median is $80,000

Hence, if the faculty want to give the community the impression that they deserve higher salaries, they should advertise the median of their current salaries.

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Answer:

The table that represents a linear function is:

x 0 1 2 3 4

y −2 1 0 1 −2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation: The linear function is a function that has a straight line when plotted on a

graph.

The correct option;

The table of ordered pairs that represent a linear function is the option; x/y  -8/-7  0/0  8/7  16/14

Reasons why the above selection is correct:

Given;

The given data can be presented as follows;

x/y -8/22 0/1 8/22 16/102

x/y -8/-7 0/1 8/9 8/2

x/y -8/-7 0/0 8/7 16/14

x/y -8/-7 0/1 8/5 16/4

Representation of the options in tabular form;

In a tabular format, we have;

Characteristic of linear function;

In a linear function, when the x-values have a constant rate of increase the

the first difference in the y-values is constant.

Selection of the table representing a linear function;

The option that has a constant first difference along with a continuous rate of

increase in the x-value is the option with the following table;

, which is the option x/y -8/-7 0/0 8/7 16/14

Answer:

Step-by-step explanation:

42*2/3=84/3=28

She had to pay they have to pay her back $ 132.

Multiply: -

Payback = 360 x 120/100

               = 132

Payback is a financial metric that measures the time it takes to recover the initial investment cost of a project. It is commonly used in investment analysis to evaluate the viability of potential projects by estimating the time it takes for the project to start generating profits.

The payback period is calculated by dividing the initial investment by the expected cash flow of the project on an annual or monthly basis until the investment is fully recovered. The shorter the payback period, the more attractive the project is to investors. Payback is a simple and straightforward metric, but it has some limitations. It does not consider the time value of money or the long-term profitability of the project.

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Complete Question: -

Paula went to the supermarket and to pay her bill she gave $ 360 if she gave 120% of what she had to pay, how much did they have to pay her back?

The sum of the first fifteen terms of the given sequence is 220.

The given sequence can be expressed as: [tex]$2, 8, 14, \dots$[/tex], in which each term is six more than the preceding term. This is an arithmetic sequence, where the common difference between terms is 6. The formula to calculate the sum of the first n terms of an arithmetic sequence is given by [tex]$S_n = \frac{n}{2}(a_1 + a_n)$[/tex], where [tex]$a_1$[/tex] is the first term and [tex]$a_n$[/tex] is the nth term.

In the given sequence, the first term [tex]$a_1$[/tex] is 2 and the 15th term [tex]$a_n$[/tex] is 42. So, plugging these values to the formula gives us, [tex]$S_{15} = \frac{15}{2}(2+42) = \frac{15\times 44}{2} = 220$[/tex].

Therefore, the sum of the first fifteen terms of the given sequence is 220.

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Answer: $25.59

Step-by-step explanation: you can multiply 3 times 8.53 which comes too $25.59 but we can add as well.

8.53 + 8.53= 17.06 Now we have to add it 1 more time soo

17.06 + 8.53= $25.59..    

Hope this helps :)

Answer: y= -1

Step-by-step explanation:

1) Distribute the 4 to the y and the -6 to get 4y-24, so our new equation is -36= 8y+4y-24.

2) Add like terms 8y and 4y to get 12y. Our new equation is -36=12y-24.

3) Remove the constant -24 by adding 24 to both sides to get -12=12y.

4) Remove the coefficient 12 by dividing 12 on both sides to get y= -1  

subtract 28 from both sides ....

2x+28-28=40-28

2x= 12

x=12 Ans........

thank you!

Let's first understand what's relative here, it refers to Point of reference , the point, in respect to which other's position are to be considered, which here is O, the Origin with coordinates (0,0) as we are talking about two-dimensional reference frame. What position vector means? Say, we have the point of Reference X, and we've the position vector of Y with respect to X, then it can be written as [tex]{\overrightarrow{XY}}[/tex]. Now, using this simple rule we can have,

Now, let's calculate [tex]{\overrightarrow{AC}}[/tex] firstly;

[tex]{:\implies \overrightarrow{AC}=\overrightarrow{OC}-\overrightarrow{OA}}[/tex]

[tex]{:\implies \overrightarrow{AC}=8\hat{i}+(\lambda -7)\hat{j}}[/tex]

Now, here [tex]{AC}[/tex] just means the the magnitude of the vector [tex{\overrightarow{AC}}[/tex], and we're aware that magnitude of a vector [tex]{\overrightarrow{X}=x\hat{i}+y\hat{j}}[/tex] is given by, [tex]{X=\sqrt{x^{2}+y^{2}}}[/tex], so according to question;

[tex]{:\implies \sqrt{64+(\lambda -7)^{2}}=17}[/tex]

Squaring both sides;

[tex]{:\implies (\lambda -7)^{2}=289-64=225}[/tex]

[tex]{:\implies \lambda -7=\pm 15}[/tex]

[tex]{:\implies \boxed{\underline{\bf{\lambda =22,\:or\:-8}}}}[/tex]

The measure of angle A is 83 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

In the triangle ABC, ∠A=(12x-1)º, ∠B=10x and ∠C=3x+6

Now we need to find the value of angle A.

We know that from angle sum property that the sum of three angles is 180 degrees.

∠A+∠B+∠C=180

12x-1+10x+3x+6=180

25x+5=180

25x=175

Divide both sides by 25

x=175/25

x=7

Now angle A is 12(7)-1=84-1=83 degrees

Hence, the measure of angle A is 83 degrees.

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The complete question is In Triangle ABC, ∠A=(12x-1)º, ∠B=10x and ∠C=3x+6 then the measure of m∠A

total cookies first to find ratio values

8 + 9 + 7 + 6 = 30 total

first ratio is sugar cookie to total

7 / 30 chances

after eating the sugar cookie, the total reduces to 29

second ratio is the new total

8 / 29 chances.

potential bonus??

the odds of this happening in this exact order is both odds multiplied.

so (7/30) × (6/29) = 7 / 145 chances she completes this in the exact order stated.

The Kansas City Chiefs has a better chance of winning the super bowl 2023.

In 1967's Super Bowl I, Las Vegas sportsbooks gave the Green Bay Packers a 14-point advantage against the Kansas City Chiefs. Nevada was the only state up until 2018 to allow legal Super Bowl sports betting.

The reigning champion Kansas City Chiefs are the early favorited in the Super Bowl 58 odds, according to the top NFL betting companies. At BetMGM, the Super Bowl 58 odds for the Kansas City Chiefs are +600. You can evaluate the odds on a team you prefer to discover the best price because competing sportsbooks provide different odds for each team to win the Super Bowl.

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The transformation that maps △UVW to △EFG is (d) (x, y) = (-2x, -2y)

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

The figure

From the figure, we can see that

Triangle EFG is twice the triangle UVW in side lengths

This means that

(x, y) = (2x, 2y)

The orientations are 180 degrees apart

So, we have

(x, y) = (-2x, -2y)

Hence, the transformation is (d) (x, y) = (-2x, -2y)

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Step-by-step explanation:

AC =18 (ac = bd opposite sides of a rectangle)

AB= 40(AB = CD)

AD = 22 ( ad = cb diagonals of a rectangle)

We can describe the output of the graph for:

This is referred to as a pictorial representation or a diagram that represents data or values in an organized manner.

From the graph given, we can deduce that the variation at 0-1 curve is small while the variation at 3-4 curve is large which is therefore the reason why slow and rapid output were chosen respectiviely.

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The area of the shaded region is given as follows:

0.0475.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for the IQ scores are given as follows:

[tex]\mu = 100, \sigma = 15[/tex]

The shaded region is the area to the right of 125, hence it's area is one subtracted by the p-value of Z when X = 125, hence:

Z = (125 - 100)/15

Z = 1.67

Z = 1.67 has a p-value of 0.9525.

Hence:

1 - 0.9525 = 0.0475.

The shaded region is the area to the right of 125.

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Answer:

-9+4-6+(-11)=-9+4-6-11=-22

first -9+4 is -5-6=-11then-11 = -22

The relations that are functions are 2, 3, 4, 5, 6, and 7.

The ones that aren't functions are 1 and 8.

A relationship maps elements from one set (the domain) into elements from another set (the range), and a relation is a function only if each element of the domain is mapped into only one value of tha range.

For example, if you look at the relation 8, you can see that the input x = 1 is mapped into two different outputs, then this is not a function.

With that in mind, the options that are functions are:

2, 3, 4, 5, 6, and 7.

The ones that aren't functions are 1 and 2.

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Answer:

Mr. Jones' tally showed that 0.6 of the students brought in scissors, so the remaining fraction of students would be 0.4 or 40%, who did not bring in scissors.

Step-by-step explanation:

simple

Answer:

40% of the students did not bring in scissors

Step-by-step explanation:

Since % means out of 1.

0.6 would equal 60%

1.0 - 0.6 = 0.4

Other forms of 0.4 would include:

0.40

40%

2/5s

4/10s

40/100s

The number of rounds that Kate has to run along the perimeter of town to complete  12 miles is 4 rounds.

What is the perimeter of a triangle?

Any two-dimensional figure's perimeter is determined by the space surrounding it. By summing the lengths of the sides, we can determine the perimeter of any closed shape. The perimeter of any polygon is equal to the sum of its side lengths. Considering a triangle, the sum of the three sides equals the perimeter.

Given the town is the shape of a triangle.

The distance covered after running one round around town is equal to the perimeter of the triangle.

The sides of the triangle are 0.7 miles, 1.4 miles and 0.9 miles.

Perimeter = 0.7+0.9+1.4 = 3 miles.

The distance covered in one round = 3 miles.

So the number of rounds required to complete 12 miles = 1/3 * 12 = 4 rounds.

Therefore the number of rounds that Kate has to run along the perimeter of town to complete  12 miles is 4 rounds.

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If reid takes a 2 quart pitcher of lemonade to the table and pours it all equally into 9 glasses, each glass contains approximately 0.888 cups (or 7/8 cups) of lemonade.

The problem states that Reid has a 2 quart pitcher of lemonade, which is equivalent to 8 cups. This is because there are 4 cups in one quart, so 2 quarts would be 2 x 4 = 8 cups.

Reid pours this entire amount of lemonade equally into 9 glasses. This means that the amount of lemonade in each glass will be the same. To find out how much lemonade goes in each glass, we need to divide the total amount of lemonade by the number of glasses.

We can use the following formula:

amount per glass = total amount / number of glasses

Plugging in the values we know, we get:

amount per glass = 8 cups / 9

Dividing 8 cups by 9 gives us a decimal value of 0.888..., which means that each glass contains approximately 0.888 cups of lemonade. This value is an approximation, since we rounded to the nearest thousandth place.

We can also express this value as a fraction by simplifying 0.888... as follows:

0.888... = 888.../1000...

= 8/9

Therefore, we can say that each glass contains 7/8 cups or approximately 0.888 cups of lemonade.

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The formula (D) f(n) = 65 − 9(n − 1) represents the arithmetic sequence for 65, 56, 47, 38, 29 ….

An arithmetic sequence is one in which each phrase grows by adding or removing a certain constant, k.

In a geometric sequence, each term rises by dividing by or multiplying by a certain constant k.

For instance, a1 = 25 and a(n) = a(n-1) + 5.

Each word in an arithmetic sequence increases by adding or subtracting a certain constant, k.

As opposed to a geometric sequence, where each term is increased by dividing or multiplying a certain constant k, this one does not.

For instance, a(n) = a(n-1) + 5 and a1 = 25.

So, we have the sequence:

65, 56, 47, 38, 29 …

Now, the difference is 65 - 56 = -9

Now, the first term is 65.

Then, the equation which represents its formula is f(n) = 65 − 9(n − 1).

Therefore, the formula (D) f(n) = 65 − 9(n − 1) represents the arithmetic sequence for 65, 56, 47, 38, 29 ….

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Complete question:

An arithmetic sequence begins with 65, 56, 47, 38, 29 … Which option below represents the formula for the sequence?

(A) f(n) = 56 − 9(n)

(B) f(n) = 56 + 9(n −1 )

(C)  f(n) = 65 + 9(n −1 )

(D) f(n) = 65 − 9(n − 1)

John has average 2 books and Peter has 4 books. Together, they have 6 books.

John has 2 books

Peter has twice books more than John = 2 * 2 = 4 books

Total books they have together = 2 + 4 = 6 books

John has 2 books, so Peter has twice books more than John. This means that Peter has 2 * 2 = 4 books. Together, John and Peter have 2 + 4 = 6 books. John’s books are the starting point of the problem, so it is important to keep track of John’s books. Since Peter has twice books more than John, we can calculate the number of books that Peter has by multiplying the number of books that John has by two. Once we have calculated the number of books that Peter has, we can add the number of books that John has to the number of books that Peter has and get the total number of books that they have together. In this example, the total number of books that John and Peter have together is 6. This can be arrived at by adding the number of books that John has (2) to the number of books that Peter has (4).

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Answer:

  6 years

Step-by-step explanation:

You want the length of time it takes for a $50 investment to total $3200 if it doubles in value each year.

The value of the investment can be described by ...

  v = 50·2^t

where t is the number of years.

You want t when v=3200:

  3200 = 50·2^t

  64 = 2^t

  log(64) = t·log(2) . . . . . take logarithms

  t = log(64)/log(2) = 6

It will take 6 years for her investment to reach $3200.

__

Additional comment

If you're familiar with powers of 2, you recognize that 64 = 2⁶. Comparing exponents in ...

  64 = 2^t

  2^6 = 2^t . . . . . use 2^6 for 64

we can see that t=6. The logarithms are used to formalize this comparison.