Which is the graph of g(x)?
3,
x < -2
g(x) = - +2,
-/+2, -2 2x - 3,
x22

Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

The dilation of the image means expanding the image or reducing the image. In this case, the two figures will be similar in shape but not necessarily in size. In dilation, the new shape remains the same even if the original is larger or smaller.

According to the figure AB=1. AC=4

A'B' = 3, A'C' = 12

FAB'=3AB [A'C' = BAC

So, the scale factor is 3

Dilation is a method for producing comparable numbers. By increasing distances by the scale factor, each point is extended outwards from the center point D. (If the scale factor is more than one, go outwards.)

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Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

The dilation of the image means expanding the image or reducing the image. In this case, the two figures will be similar in shape but not necessarily in size. In dilation, the new shape remains the same even if the original is larger or smaller.

A. [tex]$T(x, y) \rightarrow(-x, -y)$[/tex]

This is a reflection to the origin that does not preserve angles or aspect proportions. Therefore, triangle ABC under this transformation does not resemble that image.

Example: [tex]$T(x, y) \rightarrow(x, x-y+1)$[/tex]

This is a shear transformation that does not preserve angles or aspect ratio. Therefore, triangle ABC under this transformation does not resemble that image.

C. [tex]$T(x, y) \rightarrow(x+3, y)$[/tex]

This is a translation that preserves angles and aspect ratio. So the triangle ABC under this transformation resembles that image.

D. [tex]$T(x, y) \rightarrow(0.2x, 4y)$[/tex]

This stretches by a factor of 0.2 in the x direction and 4 in the y direction, preserving angle and horizontal proportions. So the triangle ABC under this transformation resembles that image.

E. [tex]$T(x, y) \rightarrow(2x, 2y)$[/tex]

This is a stretch by a factor of 2 in both the x and y directions, preserving the proportions of the angles and sides. So the triangle ABC under this transformation resembles that image.

F. [tex]$T(x, y) \rightarrow(3x, 4y)$[/tex]

This stretches by a factor of 3 in the x direction and 4 times in the y direction, preserving the proportions of angles and sides. So the triangle ABC under this transformation resembles that image.

Therefore, the similarity-preserving transformations between triangle ABC and its image are C, D, E, and F. 

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Answer:

  -20 ÷ (u +v)   or   -20/(u +v)

Step-by-step explanation:

You want an expression that represents the quotient of -20 and the sum of u and v.

The sum of two quantities is indicated with a plus (+) sign.

"The sum of u and v" is written in symbols as ...

  u + v

The wording "the quotient of a and b" means "a divided by b". It is written in symbols using a division sign or fraction bar:

  a ÷ b   or   a/b

The desired quotient can be written as ...

  -20 ÷ (u +v)   or   -20/(u +v)

__

Additional comment

The parentheses are needed so that the sum is computed before the quotient is computed. If the expression is typeset, the division bar does the grouping:

  [tex]\dfrac{-20}{u+v}[/tex]

The value for n(A ∩ [tex]B^c[/tex]) is {3}

Option D is the correct answer.

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

Set A = {1, 3}

Set B = {1, 7}

U = {1, 3, 5, 7}

[tex]B^c[/tex] = U - B = {3, 5}

A ∩ [tex]B^c[/tex].

= Numbers that are common to both A and [tex]B^c[/tex].

= {3}

Thus,

n(A ∩ [tex]B^c[/tex]) = {3}

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Answer: y=-4x+4

Step-by-step explanation: the "+4" represents the y intercept, so (0,4)

Answer:

Step-by-step explanation:

3) The following are the trial balance and other information related to Soft Tech, a

consulting engineer.

Soft Tech, Consulting Engineer

Trial Balance

December 31, 2022

Debit Credit

Cash Br. 59,000

Accounts Receivable 99,200

Allowance for Doubtful Accounts Br. 1,500

Supplies 3,920

Prepaid Insurance 2,200

Equipment 50,000

Accumulated Depreciation—Equipment 12,500

Notes Payable 14,400

Share, Capital 104,020

Dividend 34,000

Service Revenue 200,000

Rent Expense 19,500

Salaries and Wages Expense 61,000

Utilities Expense 2,160

Office Expense 1,440

Br. 332,420 Br. 332,420

Other data:

1. Fees received in advance from clients Br.12,000.

2. Services performed for clients that were not recorded by December 31,

Br.9,800.

3. Bad debt expense for the year is Br.2,860.

4. Insurance expired during the year Br.960.

5. Equipment is being depreciated at 10% per year.

6. Fine Tech gave the bank a 90-day, 10% note for Br.14,400 on December 1,

2022.

7. Rent of the building is Br.1,500 per month. The rent for 2022 has been

paid, as has that for January 2023.

8. Salaries and wages earned but unpaid December 31, 2022, Br.5,020.

Instructions

a. From the trial balance and other information given, prepare annual

adjusting entries as of December 31, 2022.

b. Prepare the worksheet

c. Prepare an income statement for 2022, a statement of owner’s equity,

and a classified statement of financial position.

d. Maintain the necessary closing entry.

The value of x in the triangle is 23.83

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

A right triangle

The value of x can be calculated using the following tangent equation

tan(40) = 20/x

Make x the subject of the equation

x = 20/tan(40)

Evaluate

x = 23.83

Hence, the value of x is 23.83

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The wavelength in meters of electromagnetic radiation that has a frequency [tex]2.5[/tex] × [tex]10^{5}[/tex]  .

The wavelength in meters of electromagnetic radiation that has a frequency of [tex]1.82[/tex] ×[tex]10^{8}[/tex] s-1¹. (c = 3.00 X [tex]10^{8}[/tex] m/s) k C #C [] CA 9 %​

The frequency f of electromagnetic waves, or, equivalently, the wavelength c/f, is used to classify them.

The characteristics of electromagnetic radiation include amplitude (brightness), wavelength, frequency, and period. We have shown that the frequency of a light wave is related to its energy by the equation E = h v E=hnu E=h.

v=1.210 3 Hz and

e=310 8 m/s equal v and e, respectively.

3×[tex]10^{8}[/tex]

λ = 2.5 ×[tex]10^{5}[/tex].

The wavelength in meters of electromagnetic radiation that has a frequency 2.5 × [tex]10^{5}[/tex].

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The area of the parallelogram with vertices p(3, 3, 2), q(5, 6, 4), r(9, 10, 12), and s(7, 7, 10) is √336≈18.34 units.

A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but it must have opposite sides that are parallel for it to be a parallelogram.

Calculate the length of PQ → Position vector of Q - Position vector P

PQ→ (5-3)i + (6-3)j + (4-2)k

PQ→ 2i + 3j + 2k

Calculate the length of PS →Position vector of S - Position vector P

PQ→ (7-3)i + (7-3)j + (10-2)k

PQ→ 4i + 4j + 8k

Area of parralelogram = [tex]\left[\begin{array}{ccc}i&j&k\\2&3&2\\4&4&8\end{array}\right][/tex]

= √16² + 8² + 4²

=√336

=18.34 units

The area of a parallelogram is the region bounded by the parallelogram's four sides. It is measured in square units like cm2, m2, and inch2 and can be computed if we know the size of the parallelogram's base and height.

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The equation of the line is passing through a point (6, 2) and is perpendicular to the line 3x-2y = 7 is y = -2x/3 + 8

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point

Given that, a line is passing through a point (6, 2) and is perpendicular to the line 3x-2y = 7, we need to find the equation of the line,

The line is

3x-2y = 7

Converting into slope-intercept form,

3x-2y = 7

2y = 3x - 7

y = 3x/2 - 7/2

We know that, the slopes of two perpendicular lines are negative reciprocal of each other,

Therefore, the slope of the asked line = -2/3

Therefore, the equation of the asked line is, y = -2x/3 + c....(I)

Put x = 6 and y = 2 in equation to find c,

2 = -4 + c

c = 8

Therefore, put c = 8 in equation (i)

y = -2x/3 + 8

Hence, the equation of the line is passing through a point (6, 2) and is perpendicular to the line 3x-2y = 7 is y = -2x/3 + 8

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The addition of the given fraction numbers 3(3/8) and 7(3/4) is, 89/8

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

Two fraction numbers,

3(3/8) and 7(3/4)

The addition of two fraction number is,

⇒  3(3/8) + 7(3/4)

In simple form it can be written as,

⇒   24+3/8 + 28+3/4

⇒    27/8 + 31/4

LCM Of 8 & 4

=  8

⇒  27/8 + 31×2/4×2

⇒  27/8 + 62/8

⇒  (27 + 62)/8

⇒   89/8

Hence, the result is 89/8

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The result = 2/ (x-4) is obtained by simplifying the provided equation (2/x)/(1-4/x)

Given,

[tex]$\frac{\frac{2}{x}}{1-\frac{4}{x}}[/tex]

Use the fractional rule :  [tex]$\frac{\frac{a}{b}}{c}=\frac{a}{b \cdot c}$[/tex]

[tex]$=\frac{2}{x\left(1-\frac{4}{x}\right)}[/tex]

Simplify  [tex]$x\left(1-\frac{4}{x}\right): \quad x-4$[/tex]

Then we get,

[tex]$=\frac{2}{x-4}[/tex]

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The equation which can be used to model this situation is equals to the h = 1.9t + 14 , where h represents the water level , t represents the time in minutes.

We have, A water tank which is filled with water. Before pumping the water,

The level i.e., high of water in water tank

= 14 inches

After 20 minutes, the level of water in tank = 52 inches

We have to determine the equation to model this situation in form of time "t" in minutes. Let "h" be level of water increases from initial point/ level in t minutes. As the change in water level from initial to after 20 minutes = 52 inches - 14 inches = 38 inches

That is, water level increased 38 inches in 20 minutes. Then rate of increase in level = 38/20 = 1.9 inches per minutes

Now, the for time 't' the equation is formed by multiplying the rate of chenge of water level with 't' and adding initial water level.

=> h = 1.9t + 14

which is linear equation in two variables,i.e., h and t . Hence,the required equation model is h = 1.9t + 14 .

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Answer:

38.5

Step-by-step explanation:

rectangle = (2.5x2)+1.5=6.5

6.5x5=32.5

both triangle = 4/2 = 2

(1.5x2)x2=6

total area = 32.5 + 6 = 38.5

The volume of the soil that it holds in cubic yards is 11.1.

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

A raised flower bed is 25 feet long 8 feet wide and 1.5 feet deep.

In yards,

a raised flower bed is 8.33 yards long, 2.67 yards wide, and 0.5 yards deep.

The volume of the soil that it holds,

= 8.33 x 2.67 x 0.5

= 11.10 cubic yards.

Therefore, the volume is 11.1 cubic yards.

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No, there do not exist nonzero constants a and b such that a p(x)+b.

Nonzero constants are numerical values used in mathematical equations which cannot be reduced to zero. They are also referred to as non-zero numbers or constants. Non-zero constants can take on any real or complex number value that is not equal to zero. Non-zero constants are used in various areas of mathematics including linear algebra, calculus, statistics, geometry and trigonometry.

No, there do not exist nonzero constants a and b such that a p(x)+b. q(x) is a polynomial with degree 1. This is because the degree of the polynomial P(x) is 1 and the degree of the polynomial Q(x) is 2, so the degree of the sum of the two polynomials (a p(x)+b. q(x)) must be 2 or greater.

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The total cost to redecorate the mayor's office by Finney & Associates is $123,500.

The total production cost consists of direct materials, direct labor, and overhead costs.

The overhead cost can be computed using a predetermined overhead rate or activity-based costing rates.

In this situation, the predetermined overhead rate is the quotient of the budgeted overhead cost and the budgeted direct professional labor cost.

Direct material: $29,000

Direct professional labor: $42,000

Allocated overhead cost: $52,500

Total cost =  $123,500

Budgeted overhead: $800,000

Budgeted direct professional labor: $640,000

Predetermined overhead rate = Budgeted overhead/Budgeted direct professional labor cost

= $1.25 ($800,000/$640,000)

Allocated overhead cost = $52,500 ($1.25 x $42,000)

Thus, Finney & Associates can reliably claim that they incurred a total cost of $123,500 in redecorating the mayor's offices.

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The amount of money Intel pay Bally is given by the equation A = $ 8,232

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the amount be represented as A

Now , the equation will be

The total invoice amount = $ 14,000

The trade discount given by Intel = 40 %

So , the amount of discount = trade discount x total invoice amount

Substituting the values in the equation , we get

The amount of discount = ( 40/100 ) x 14000

The amount of discount = 0.4 x 14000

The amount of discount = $ 5600

So , the amount after 40 % discount = total invoice amount - amount of discount

Substituting the values in the equation , we get

The amount after 40 % discount = 14,000 - 5,600

The amount after 40 % discount = $ 8,400

And , 2/10 means 2%discount if the amount received within 10 days

So , the amount after 2 % discount = amount after 40 % discount - ( 2/100 ) x amount after 40 % discount

Substituting the values in the equation , we get

The amount after 2 % discount A = 8400 - 0.02 x 8400

The amount after 2 % discount A = $ 8400 - $ 168

The amount after 2 % discount A = $ 8,232

Hence , the amount is $ 8,232

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The value of x is in the quadrilateral PQRS is 1.6

Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.

The ratio of the corresponding angle of a similar quadrilateral are equal.

This means that all quadrilateral are not similar if the ratio of their corresponding sides are not equal

Therefore AD/PS = DC/ SR

= 4/3.2 = 2/x

4x = 2× 3.2

4x = 6.4

divide both sides by 4

x = 6.4/4

x = 1.6

Therefore the value of x or line RS in the quadrilateral PQRS = 1.6

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what is a discrete variable and example?

Discretized variables require a certain amount of time to count. Consider counting the coins in your pocket as an example. Your bank account's funds can be counted. The balances in each person's bank accounts might also be added up. Even if it may take some time to count the last thing, it is still a countable item.

what is a Continuous Variable and example?

Counting continuous variables would literally take an eternity. In actuality, you would reach "forever" and never reach the end of the list. Consider age as an example. Age cannot be measured. why not Considering that it would take an eternity? For instance,

Twenty-five years, ten months, two days, five hours, four seconds, four milliseconds, eight nanoseconds, 99, and so on.

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The full question would be just part 1.

Explain the difference between a discrete variable and a continuous variable.

The correct option is (A).

The following statements follows logically from the statements is there are students who are taking art but not literature.

"None of the students taking literature are taking physics."

So: if you are student taking literature, then you are not taking physics.

⇒TL=Taking Literature

⇒TP=Taking Physics

⇒TA=Taking Art

⇒TR=Taking Rhetoric

P1: TL ==> not TP

TP ==> not TL

"but several of the students taking physics are taking art."

So: some of the students taking physics are also taking art.

Q1: TP-some-TA

TA-some-TP

"In addition, none of the students taking rhetoric are taking physics."

So: if you are a student taking rhetoric, then you are not taking physics.

P2: TR ==> not TP

TP ==> not TR

Answer choice (A) states: "There are students who are taking art but not literature."

So: some students who are taking art are not taking literature.

(A): TA-some-not TL

not TL-some-TA

Can we logically infer this from the statements above? Yes.

Remember we can combine a quantifier statement with a Sufficient & Necessary statement if the right-hand side variable of the quantifier statement is the same as the sufficient condition of the Sufficient & Necessary statement. We have that with P1 and Q1.

So, we can combine Q1 to P1 like so: TA-some-TP ==> not TL to infer: TA-some-not TL, so the correct option is (A).There are students who are taking art but not literature.

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Step-by-step explanation:

1 ounce = 28 grams

48 ounce = 1344 grams

So, 1344 grams would be in a 48-ounce sample.

Let's call the number of bricks in the ith row as B_i. Then, B_i = 60 - 2 * (i - 1) for i = 1, 2, ..., n, where n is the number of rows.

The number of bricks in the monument can be found by summing up the bricks in each row. So, the total number of bricks is:

T = B_1 + B_2 + … + B_n

= 60 + (60 - 2) +  (60 - 4) + … + (60 - 2 * (n - 1))

= 60 * n + (-2) * (1 + 2 + … + (n - 1))

To find the sum of 1 to (n-1), we can use the formula for the sum of an arithmetic series: S_n = n * (a_1 + a_n) / 2, where a_1 = 1 and a_n = n - 1.

Substituting these values into the formula, we get: S_n = (n - 1) * (1 + (n - 1)) / 2 = (n - 1) * n / 2.

Therefore, T = 60 * n + (-2) * (n - 1) * n / 2 = 30 * n^2 + 30 * n.

Finally, to find the number of bricks for n = 10 rows, we substitute n = 10 into the equation:

T = 30 * 10^2 + 30 * 10 = 300 + 300 = 600

So, there are 600 bricks in the monument.

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In a poker hand consisting of 5 cards, the probability of holding 3 kings is   0.0009 .  

The probability of holding 3 kings in a poker hand of 5 cards can be calculated as follows:

The number of ways to choose 3 kings from a deck of 4 kings is= ⁴C₃ = 4.

The number of ways to choose 2 other cards from the remaining 48 cards is = ⁴⁸C₂ = 1128.

The total number of 5-card hands from a standard deck of 52 cards is = ⁵²C₅ = 2598960.

So , the probability of holding 3 kings in a 5 card hand is

⇒ (4 × 1128)/2598960

⇒ 4512/2598960  .

⇒ 0.00085148 .

Therefore , probability of holding 3 kings in a 5card hand is approximately 0.0009 .

The given question is incomplete , the complete question is

In a poker hand consisting of 5 cards, find the probability of holding  3 kings .

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They are similar by the property of SAS and the factor by which the triangle grows is 1.25

In order to calculate the exact closed form bound of the number of times function F is called in each code segment, we need to consider the number of times F is called in each line of code.

For the initial call of F(n^2), the number of times F is called depends on the value of n. To calculate the exact number of calls for any value of n, we can use a recursive approach, starting from the top line of code and working our way down.

For example, for n=4, the initial call of F(16) will call F(4), which will then call F(1) four times, for a total of 5 calls. For n=8, the initial call of F(64) will call F(16), which will call F(4) four times and F(1) sixteen times, for a total of 20 calls.

Thus, for any value of n, the exact closed form bound of the number of times function F is called is given by the formula [1]:

Where the number of terms in the summation is equal to the number of times n is divided by 4 before it reaches 1.

For example, for n=16, the summation will have four terms (n=16, n=4, n=1), and for n=32, the summation will have five terms (n=32, n=8, n=2, n=1).

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Answer:

Below

Step-by-step explanation:

145 yr / 29 yr/double = 5 doubles

6595 x 2 ^5 = 211 040  ppl

Experimentation is a scientific procedure undertaken to make a discovery, test, a hypothesis or demonstrate a known or unknown fact.

Experimentation in the scientific method is the process of testing a hypothesis or theory through the process of collecting data and making observations.

This involves designing and performing experiments to test the hypothesis or theory, and then analyzing the results to determine whether the hypothesis or theory is supported by the data or not.

Experimentation allows for the collection of direct evidence about the hypothesis or theory being tested, which can then be used to make informed decisions about the hypothesis or theory.

Experimentation is the ultimate test of a hypothesis or theory and is fundamental to the scientific method.

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The mean number of cups of coffee will be 4.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. It is known as the "average" and is the most widely used central tendency measure.

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.

The mean number of cups of coffee will be:

= 140 / 35

= 4.

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The cost of students ticket is $37.5and the cost of general admission is $187.5.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.

Assume s be the students tickets cost and g be the general admission cost.

From the given information,

⇒  s + g = 225             ..(1)

 5s + 7g = 1500         ..(2)

From equation (1),

s = 225 - g

Plug the value of s in equation (2)

5(225 - g) + 7g = 1500

1125 - 5g + 7g = 1500

                  2g = 1500 - 1125

                  2g = 375

                    g = 187.5

Plug g = 125 in equation (1),

s + 187.5= 225

        s = 225 - 187.5

        s = 37.5

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The expression that  represents the total number of points Victoria scored in the basketball games for the whole season is,

5x + 9.

One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.

Given:

Victoria scored a total of 9 points in the first basketball game of the season.

She scored 5 points per game in each of the other x basketball games she played that season.

That means, 5x is the score.

The expression that  represents the total number of points Victoria scored in the basketball games for the whole season is,

5x + 9.

Therefore, the expression is 5x + 9.

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The complete question:

Victoria scored a total of 9 points in the first basketball game of the season. She scored 5 points per game in

each of the other x basketball games she played that season.

Which of the following expressions represents the total number of points Victoria scored in the basketball games for the whole season?