(50 POINTS)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Based on the figure on the graph, match the described transformations with the transformed figures.

reflected across the x-axis
rotated 180° clockwise
translated 9 units to the
right and 2 units down
reflected across the y-axis

The triple 50% or 150% of $2000 is $3000.

The quarter of 80 is 40.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

we have to find triple 50% or 150% of $2000.

So, 150 / 100 x 2000

= 3/2 x 2000

= $3000.

Then divided by 10

3000 / 10 = $300

Also, the quarter of 80

= 1/4(80)

= 20

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The translation of the complete question is:

What is triple 50% of $2000 and then divided by 10, how much is half of a quarter of 80?

Answer:

x = 26°

Explanation:

Here we can see that both angles are parallel to each other.

so an equation can be formed to solve:

x = y

4p - 6 = 2p + 10

4p - 2p = 10 + 6

2p = 16

p = 8°

if p is 8 then we can find angle x:

x = 4p - 6

x = 4(8)-6

x = 26°

Based on Tom's z-score of 0.9, we can estimate that he earns $33,220. To find out how much Tom earns, given his z-score of 0.9, we can use the z-score formula.

z = (x - μ) / σ

Where:

- z is the z-score,

- x is the value we want to find (Tom's salary),

- μ is the mean salary, and

- σ is the standard deviation.

We are given the mean salary (μ) as $28,000 and the standard deviation (σ) as $5,800.

Rearranging the formula to solve for x, we have:

x = z * σ + μ

Plugging in the values, we get:

x = 0.9 * $5,800 + $28,000

x = $5,220 + $28,000

x = $33,220

Therefore, based on Tom's z-score of 0.9, we can estimate that he earns $33,220.

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Answer:

x = 23

Step-by-step explanation:

∠ ABE = ∠ BEF = 4x ( alternate angles )

Since DBF is a straight line then the 3 angles sum to 180°, that is

x + 4x + 65 = 180

5x + 65 = 180 ( subtract 65 from both sides )

5x = 115 ( divide both sides by 5 )

x = 23

Total volume of the composite figure using volume of cuboid formula is = 120ft³.

A cuboid's volume is a measurement of how much room it occupies. A three-dimensional shape with dimensions of length, breadth, and height is the cuboid. We can keep stacking them, starting with a rectangular sheet, until we achieve a shape with a particular length, breadth, and height.

The shape of this stack of sheets is a cuboid, which has 6 faces, 12 edges, and 8 vertices. The (unit)³ is used to represent a cuboid's volume.

In the given figure,

Length of cuboid = 6ft.

Breadth of cuboid = 3ft.

Height of cuboid = 5ft.

Length of second cuboid = 4ft.

Height of second cuboid = 5ft.

Breadth of second cuboid = 3ft.

Volume of first cuboid = length × breadth × height.

= 6 × 3 × 5

= 90ft³

Volume of second cuboid = 4 × 3 × 5

= 60ft³

Now the second cuboid is half.

So, volume becomes = 60/2

= 30ft³.

So, total volume of the figure = 90 + 30 = 120ft³.

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Answer:

Step-by-step explanation:

\((-6,-1)\ \ \ \ (11,-18)\\\displaystyle\\x_1=-6\ \ \ \ x_2=11\\x_1-x_2=-6-11\\x_1-x_2=-17\\\\y_1=-1\ \ \ \ y_2=-18\\y_1-y_2=-1-(-18)\\y_1-y_2=-1+18\\y_1-y_2=17\\\\The\ slope=\frac{y_1-y_2}{x_1-x_2} \\\\The\ slope=\frac{17}{-17} \\\\The\ slope=-1\)

Answer: square root of 34 is in between 5 and 6

Step-by-step explanation:

Answer:

  x = 4

Step-by-step explanation:

The ratio of the side opposite the large filled dot to the hypotenuse is ...

  16/20 = x/5

  (4/5)(5) = x = 4 . . . . multiply by 5

The value of x is 4.

__

The angle marks tell us the triangles are similar.

Given the following question:

We know AC, DF, and GI are parallel

Since we know FE is equal to DE

Then it's a easy assumption that JF is equal to JD since they are porportional and similar.

JD or the fourth option is your answer.

The solution to the equation using quadratic formula is n= -1±√11

A formula that provides the solution to a quadratic issue is the quadratic formula in elementary algebra. Other approaches to solving quadratic equations outside the quadratic formula comprise factoring, solving the square, graphing, and others.

Given expression= 2 + 13n = 9n + 20

Rearranging the equation we get

= 2n²+13n-9n-20=0

= 2n²+4n-20 =0

Taking out the common factor 2, we get

= 2 (n²+2n-10) = 0

Dividing both side with same factor 2, we get

= n²+2n-10 = 0

Use the quadratic formula:

n= \(\frac{-b +/- \sqrt{b^{2} -4ac} }{2a}\)

In the given expression n²+2n-10 = 0, a=1, b=2, c=-10

Therefore, n= \(\frac{-2 +/- \sqrt{2^{2} -4*1(-10)} }{2*1}\)

After evaluating the exponents, multiplying the numbers, adding the numbers, evaluating the square root and final multiplication we get:

n= \(\frac{-2 +/- 2\sqrt{11}}{2}\)

Separating the equations and rearranging them we get:

n= -1+√11

n= -1-√11

The solution to the equation using quadratic formula is n= -1±√11

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Given,Total = 44 + 41 = 85.The percentage of the 8th graders who estimated they spend less than an hour a day on social media can be found using the following steps:

Step 1: Determine the number of students who spend less than an hour a day on social media. From the table given, it is known that 26 of the 7th graders and 18 of the 8th graders spend less than an hour a day on social media. Therefore, the total number of students who spend less than an hour a day on social media = 26 + 18 = 44.

Step 2: Calculate the percentage of 8th graders who spend less than an hour a day on social media. The number of 8th graders who spend less than an hour a day on social media is 18.Therefore, the percentage of 8th graders who spend less than an hour a day on social media = (18/85) × 100% ≈ 21.2%.Therefore, the percent of the 8th graders estimated they spend less than an hour a day on social media is 21.2%, rounded to the nearest tenth of a percent.

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Answer:

depends on factors like liquid how much you tilt the glass the sizes of the glass and how much water you need or have

The value of pi = 22/7, used by all is a larger approximation used for all purposes. It can be used to calculate both the circumference and area of any circle.

As we all know, pi is an irrational number, and one of the most used constants in mathematical history. It was originally discovered by ancient civilizations like the Egyptians and was defined as the ratio of the circumference to the diameter of any circle after it turned out to be the same for circle of any radius.

They found out the approximation we used nowadays. Using the ratio 3 (1/7), they performed their calculations. Now we directly use it as 22/7, since it was and is, a really good approximation for Pi.

But 22/7 = 3.142857, and the same 6 digits recur repeatedly to infinity. This wasn't the case with the actual value of Pi, found out later. The original Pi is an irrational number, and thus can't be written as a fraction.

Pi = 3.141592...

Although the fractional form 22/7 has a slight error, it was considerably ignorable for practical purposes of calculations to a large extent. Only where the precise decimals were necessary, the original value was used, otherwise it was just 22/7 or 3.14 for general work.

As we can observe,

22/7 > Pi.

Error percentage: 4 * 10⁻² %

Thus, we can calculate both area and circumference of a circle. 22/7 is a larger approximation of the original value of Pi.

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Answer:

YZ = 12.2

Step-by-step explanation:

YZ bisects XW and VW, therefore it is half of XV

24.4/2 = 12.2

True. In game theory and decision theory, the Hurwicz criterion is a decision-making rule between the minimax and maximin criteria.

The Hurwicz criterion is a hybrid of the minimax and maximin criterion. The minimax criterion is concerned with minimising the most potential loss, whereas the maximin criterion is concerned with maximising the least possible gain. The Hurwicz criterion is expressed as a weighted average of the greatest and worst outcomes:

Decision value = α(best payoff) + (1-α)(worst payoff)

where alpha is coefficient representing the decision-maker's optimism or pessimism. The Hurwicz criterion provides a more versatile decision-making tool than the minimax or maximin criteria alone, allowing for a balance between risk-taking and risk-aversion.

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The ways in which companies can attract and retain employees are given below.

The term human resources (HR) refers to the department responsible for managing employee-related resources.

It's an essential partner in an organization's success.

Given is that to answer some ways in which companies can attract and retain employees.

The ways in which companies can attract and retain employees are -

Therefore, the ways in which companies can attract and retain employees are given above.

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p = number of pages written before today

p+16 = number of pages written currently

p+16 > 50

p+16-16 > 50-16

p > 38

Carl had written more than 38 pages, but less than 50 pages, before today.

For example, he could have written p = 40 pages

p+16 = 40+16 = 56 which fits the description of "more than 50".

Something like p = 30 doesn't work since

p+16 = 30+16 = 46 which comes up short.

The inequality that represents the situation is x + 16 > 50 and the solution is x > 34.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other.

Given, Carl wrote 16 pages today,

bringing hi total number of page written to more than 50.

Let x be the number of pages he wrote before today.

And we have the inequality,

x + 16 > 50

To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Subtract 16 on both sides.

x > 34

Therefore, he wrote more than 34 pages before today.

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Answer:

27

Step-by-step explanation:

0.45 divide by 60 and you get 27

Answer:

27

Step-by-step explanation:

x/60 = 45/100

if you write it out, cross multiply then solve for x

Answers: 0.5 + 0.83 and 1.33 have equal values

I hope this helps, and Happy Holidays! :)

The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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Answer:

Step-by-step explanation:

So 4+4=8  8 playing card x 2  8/8=100 percent  8/4=2 and if you get 2 chances  its 12.5

The sets X and Y are defined based on specific conditions on positive integers. In functional form, X n Y can be represented as X n Y = {x € Z + : x ≤ 20, x ≤ 24, and x^2 € Z +, sqrt(x) € Z +}.

a) To find X U Y (the union of X and Y), we need to identify all the positive integers that satisfy either the condition for X or the condition for Y. In enumeration form, X U Y = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 24}. In functional form, X U Y can be represented as X U Y = {x € Z + : (x ≤ 20 and x^2 € Z +) or (x ≤ 24 and sqrt(x) € Z +)}.

To find X n Y (the intersection of X and Y), we need to identify the positive integers that satisfy both the condition for X and the condition for Y. In enumeration form, X n Y = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}. In functional form, X n Y can be represented as X n Y = {x € Z + : x ≤ 20, x ≤ 24, and x^2 € Z +, sqrt(x) € Z +}.

b) To determine the sets X n Z + and Y n Z +, we need to identify the positive integers that satisfy the conditions for X and Y, respectively, and also belong to the universal set of positive integers, Z +. Since X and Y are subsets of Z +, X n Z + = X and Y n Z + = Y.

To find X U Z +, we need to identify all the positive integers that satisfy either the condition for X or belong to Z +. In this case, X U Z + = Z + since all positive integers are included in X. Similarly, Y U Z + = Z + since all positive integers are included in Y.

In summary, X U Y = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 24} and X n Y = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16}. The sets X n Z + and Y n Z + are equal to X and Y, respectively, while X U Z + and Y U Z + are both equal to Z +.

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Answer:

Step-by-step explanation:

The distance which is shorter is given by the inequality , 3/4 km < 0.8km

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first distance be p = 0.8 km

Let the second distance be q = 3/4 km

q = 0.75 km

So , the inequality is

0.75 < 0.8

Hence , the distance of 0.75 km is shorter

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Square Root of 120

In this mini-lesson, we will calculate the square root of 120 by the long division method along with solved examples and interactive questions. The square root of a number is the number that gets multiplied to itself to give the original number. 4 is a square root of 16 because 4 × 4 = 16 and the symbol square root is written as √ and is an integral part of mathematics.

Let us take a look at what the square root of 120 is.

Square Root of 120: √120 = 10.954

Square of 120: 1202 = 14400

Answer: 13.08

Step-by-step explanation:

i hope this helps

The difference quotient of \(f(x) = x^2 - 6x + 5\) is is 2x - 6 + h.

To find the difference quotient for the function \(f(x) = x^2 - 6x + 5\), we need to evaluate

(f(x + h) - f(x)) / h, where h is not equal to 0.

First, let's find f(x + h):

\(f(x + h) = (x + h)^2 - 6(x + h) + 5\)

\(= x^2 + 2hx + h^2 - 6x - 6h + 5\)

\(= x^2 - 6x + 5 + 2hx - 6h + h^2\)

Now, we can substitute the values of f(x + h) and f(x) into the difference quotient:

\((f(x + h) - f(x)) / h = ((x^2 - 6x + 5 + 2hx - 6h + h^2) - (x^2 - 6x + 5)) / h\)

= (2hx - 6h + h^2) / h

= 2x - 6 + h

Therefore, the difference quotient of \(f(x) = x^2 - 6x + 5\) is 2x - 6 + h.

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The equation for which x=12 would be a solution is: 12x < 200

Let's test each equation to determine which one has x = 12 as a solution:

1. X + 4 = 12
Plug in x = 12:
12 + 4 = 16 (Not a solution)

2. 12 = x > 12
This is a typo and not a valid equation.

3. 12 - X > 4
Plug in x = 12:
12 - 12 > 4
0 > 4 (Not a solution)

4. 12x < 200
Plug in x = 12:
12 * 12 < 200
144 < 200 (Solution)

Your answer: For the equation 12x < 200, x = 12 would be a solution.

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The function g tells us the amount of remaining water.

The variable x gives us how much time has passed.

Given g(840) = 0,

We can see that the variable x is 840 and the functional value of g is 0.

This means at after 840 minutes the amount of water in the pool will be zero.

Looking at the choices, the correct answer is >>>

Answer:

B) \(\frac{5}{12}\)

Step-by-step explanation:

Tan= Opposite/Adjacent

HJK = RST

Tan H = Tan R

Tan H = 5 (Opposite) / 12 (Adjacent)

So...

Tan R= 5/12