Find the value of ? in the figure below

The ordered pair that shows the dilation of the square ABCD, located at A(-10, -2), B(-5, -2), C(-5, -7), and D(-10, -7), by a scale factor of 5 about the origin is option B

B. A'(-50, -10), B'(-25, -10), C'(-25, -35), and D'(-50, -35)

A dilation transformation is in which the sizes of the sides of the pre image or original figure is changes proportionately to get the image.

The vertex of the preimage ABCD are; A(-10, -2), B(-5, -2), C(-5, -7), and D(-10, -7)

A dilation by a scale factor of 5 is found using the formula;

(x, y) Dilation by scale factor of 5 about the origin ⇒ (5·x, 5·y)

Therefore, the coordinates of the square ABCD following a dilation by a scale factor of 5 is therefore;

A'(5 × -10, 5 × -2), B'(5 × -5, 5 × -2), C'(5 × -5, 5 × -7), and D'(5 × -10, 5 × -7)

Which gives;

A'(-50, -10), B'(-25, -10), C'(-25, -35), and D'(-50, -35)

Checking the lengths of the sides gives;

AB = 5

A'B' = -25 - (-50) = 25

BC = 5

B'C' = -10 - (-30) = 25

CD = 5

C'D' = -25 - (-50) = 25

AD = 5

A'D' = -10 - (-35) = 25

Therefore, the lengths of the sides of A'B'C'D' are 5 times the lengths of the sides of the square ABCD

The correct option is therefore option B

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The number of degree of freedom for reading the t values is 60 , the correct option is (c) .

In the question ,

it is given that ,

number of items in the sample = 61 items

the mean of the sample is given as 23 ,

we have to find the degree of freedom(df) ,

the degree of freedom(df) can be solved using the formula

degree of freedom(df)  [tex]=[/tex] (number of observations) - 1

Substituting the values in the formula ,

we get ,

degree of freedom = 61 - 1

= 60

Therefore , The number of degree of freedom for reading the t values is 60 , the correct option is (c) .

The given question is incomplete , the complete question is

In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is ?

(a) 22

(b) 23

(c) 60

(d) 61

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The size of the outer ring of the pizza = 25.12 inches

The amount of cheese covering the entire top of the pizza =  50.24 sq inches.

A small pizza has a diameter of 8 inches.

A Pizza has a circular base structure whose diameter, d = 8 inches.

Radius of the pizza, r = d/2 = 8/2 = 4 inches.

The size of the outer ring of the pizza means we talk about the circumference of the pizza.

The size of the outer ring of the pizza = 2πr

If we take the value π = 3.14 ( round off figure)

Then  the size of the outer ring of the pizza = 2×3.14×4=25.12 inches.

The amount of cheese covering the entire top of the pizza means we talk about entire top area of the pizza.

The amount of cheese covering the entire top of the pizza = π × r^2

= 3.14 ×4×4

The amount of cheese covering the entire top of the pizza =  50.24 sq inches.

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The number 0. 7653765376537653 is rational number.

What is rational and irrational number?

 Perfect squares like 4, 9, 16, 25, and other integers are included in the category of rational numbers. Surds like 2, 3, 5, 7, and so forth are examples of irrational numbers. Rational numbers have whole integers for both their numerator and their denominator, meaning that their denominator is not equal to zero. All whole numbers, fractions, and decimal numbers that finish or repeat are considered rational numbers. Any number that is not rational—that is, any number that cannot be divided by a fraction—is considered to be irrational.

Here the given number is

=>0.7653765376537653

It consists repeated numbers and we can also convert into fraction value.

Hence it is a rational number.

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If  the actual amount is 67 marbles.  the percent error is 37%.

Using this formula to find the percent error

Percent error =   Actual value -Estimated value/ Estimated value

Where:

Actual value = 67

Estimated value = 42

Let plug in the formula

Percent error = 67 - 42 /67

Percent error = 25/67 × 100

Percent error = 37%

Therefore the percent error is 37%.

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The quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1 is x^2 + 4x + 3 = 0.

We know that the standard form of a quadratic equation is given by;

y = f(x) = ax² + bx + c = 0

We are given:

The roots of the quadratic equation are -3 and -1.

The leading coefficient of the quadratic equation is 1.

We need to find the quadratic equation.

The roots of the quadratic equation are -3 and -1.

So, (x + 3) and (x + 1) will be the factors.

Since the leading coefficient of the quadratic equation is 1.

So, the quadratic equation is given by;

1 * (x + 3) * (x + 1) = 0

x (x + 1) + 3 (x + 1) = 0

x^2 + x + 3x + 3 = 0

x^2 + 4x + 3 = 0

So, the required quadratic equation is x^2 + 4x + 3 = 0.

Thus, the quadratic equation whose roots are -3 and -1, and whose leading coefficient is 1 is x^2 + 4x + 3 = 0.

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Answer:

  9 cm

Step-by-step explanation:

Given two beetles on a roof with a first face having a slope of -2/3 and the second face perpendicular to it. The first beetle travels down the first face twice as fast as the second beetle travels down the second face. You want to know their vertical separation when their horizontal separation is 72 cm.

In a given unit of time, the first beetle will travel 2×3 = 6 cm horizontally, and 2×(-2) = -4 cm vertically. The second beetle will travel 2 cm horizontally and -3 cm vertically in the same time, a perpendicular distance half as far.

After that one unit of time, the separation between the beetles is ...

  horizontally: 6 +2 = 8 cm

  vertically: -3 -(-4) = 1 cm

We notice the vertical separation is (1 cm)/(8 cm) = 1/8 of the horizontal separation. When the horizontal separation is 72 cm, the vertical separation will be ...

  (1/8)(72 cm) = 9 cm

The second beetle is 9 cm above the first when their horizontal separation is 72 cm.

__

Additional comment

The rise/run for the first face is given as (-2 cm)/(3 cm) = -2/3. The second face is perpendicular, so will have a rise/run = -1/(-2/3) = 3/2. That is, for a run of -2 cm, the rise will be -3 cm.

We note that the right triangles with legs "rise" and "run" are congruent for the two beetles. Traveling at the same speed, each beetle will cover a hypotenuse length in a given unit of time, hence the lengths "rise" and "run" on their respective roof faces. Since beetle 1 travels twice as fast, its distance will be 2·rise and 2·run in each time unit.

The attached diagram shows the geometry of the problem. The measures show beetle 1 has traveled twice as far as beetle 2 when they are separated horizontally by 72 cm. The grid is set so you can see the slopes are -2/3 and 3/2.

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The probability that only one of the counters is white is the fraction 6/11 or 0.55 considering that the first take is without replacement

The probability for an event without replacement implies that once an item is taken, then we do not replace it back to the sample space before taking a second item.

Given that there are 11 counters in the bag, with 5 of them being white;

The probability of taking a white counter = 5/11

The probability of not taking a white counter = 6/11

The probability of taking a white counter first without replacement and not taking it the second time = (6/11) × (5/10)

The probability of not taking a white counter first without replacement and taking it the second time = (5/11) × (6/10)

The probability that only one of the counters is white = (6/11) × (5/10) + (5/11) × (6/10)

The probability that only one of the counters is white = (30/110) + (30/110)

Therefore, probability that only one of the counters is white = 6/11 [by simplification]

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The inverse of the function is 3+[tex]\sqrt[3]{x\x-2}[/tex].

What is inverse of the function?

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1. One should not confuse (-1) with exponent or reciprocal here.

Given, f(x) = (x − 3)³ + 2

replace f(x) with y

y = (x − 3)³ + 2

y-2 = (x − 3)³

∛y-2 = x-3

∛y-2 +3 = x

Put y =x

we get

∛x-2 +3 =y

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Answer:

72% are not freshmen.

Step-by-step explanation:

The not freshmen students are,

→ 50 - 14

→ 36 students

Then percent of not freshmen,

→ (36/50) × 100

→ 0.72 × 100

→ 72%

Hence, the answer is 72%.

The number of gallons of water can an elephant drink per day is 50 gallons.

Given that, an elephant can’t drink up to 6400 fluid ounces of water a day.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, there are 128 fluid ounces in 1 gallon.

Now, 6400/128

= 50 gallons

Hence, the number of gallons of water can an elephant drink per day is 50 gallons.

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Answer: SO WHAT YOU HAVE TO DO IS

Step-by-step explanation:

All the answers are correct, but the 5th one is wrong, the correct answer for the 5th question is y = 6.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The answer of 5th question,

The given expression is,

(5y - 3)/63 = 9/21

105y -63 = 567

105y = 630

y = 630/105

y = 6.

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Answer:

The number is 11.

Step-by-step explanation:

Step one: Convert to algebraic equation

4 x ( a -6 ) = 20

Step two: Simplify both sides of the equation.

4 (a −6) = 20

(4)(a) +(4)(−6) = 20 (Distribute)

4a +−24 = 20

4a −24 = 20

Step three: Add 24 to both sides.

4a −24 +24 = 20 +24

4a = 44

Step four: Divide both sides by 4.

(4a /4) = (44 /4)

a = 11

Answer:

If deion saves 15% of his paycheck every month. last month he saved $219. then his paycheckwould have been $1460

deion saves 15% of his paycheck every month. last month he saved $219. how much was his paycheck

Let his paycheck be p

Then 15 % of p is equal to 219

(15/100 ) p = 219

p = 219 (100/15)

p = 1460

Therefore, if deion saves 15% of his paycheck every month. last month he saved $219. then his paycheck would have been $1460

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The number of home runs hit by player A nd player B are respectively 53 and 55which are consecutive odd integers.

Let the number of home runs hit by A is x.

Therefore the number of home runs hit by B is x+2 as they are consecutive odd numbers.

If x is odd then x + 1 is even and x+2 is odd.

The sum of their home runs is 108.

We will form a linear equation in x to represent this situation.

x + (x+2) = 108

now we will solve this equation to find the value of x.

or, 2x + 2 = 108

or, x + 1 = 54

or, x = 53

Hence the number of home runs hit by A is 53 .

Number of home runs hit by B = 53+2 = 55

Therefore the number of homeruns hit by players A and B are 53 and

55.

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Answer:

First Picture is a rotation

Second Picture is a rotation

Third Picture is a vertical translation

The last Picture is a reflection

Step-by-step explanation:

Answer:

First is rotation

Second is rotation

Third is translation

Fourth is reflection

Answer: The answer is (264)×(261)(525), because (264)×(261) are the possibilities for choosing 4 red cards and 1 black card from a deck of 52 cards, while (525) are the possibilities for choosing 5 cards from a deck of 52 cards.

So, your first solution is almost correct. On why your second solution is wrong, you'll have to explain your thought process.

Step-by-step explanation:

We know that the surface area of cuboid with sides L, B and H is given by,

S = 2 (LB + BH + LH)

Given that the sides of cuboid are x cm, 5 cm and 7 cm.

So L = x cm and B = 5 cm and H = 7 cm.

Given that the surface area of the cuboid is 142 square cm.

According to information the suitable equation for this is:

2(5x+7*5+7x) = 142

Now solving the equation we get,

5x+35+7x = 142/2 = 71

12x+35 = 71

12x = 71-35

12x = 36

x = 36/12

x = 3

Hence the value of x is 3 cm.

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The income from operations of your business is $2,12,440.

Given:

Your restaurant has a gross profit of $274,232, administrative expenses of $29,147 and marketing expenses of 32,645.

Total expenses = administrative + marketing expenses

= $29,147 + $32,645

= $61792

Income = gross profit - total expenses

= 274232 - 61792

= $2,12,440

Therefore the income from operations of your business is $2,12,440.

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Answer:

60

Step-by-step explanation:

All of the angles of a trapezoid add up to 360 degrees so,

2h+2h+h+h=360 degrees

6h=360 degrees

h = 60 degrees

2h=120degrees

Answer:

180

Step-by-step explanation:

this can be turned into

200x=36,000

Divide 200 to both sides of this equation

x=180

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Answer: Triangle FGH is an equilateral with values of x as 9.

Step-by-step explanation: The triangle given is an equilateral because all the given side are equal.  The value of x is 9.

Answer:

x = 9

Step-by-step explanation:

if x = 2 then

If x = 22.25 then

if x = 180 then

If x = 9 then

There are infinite linear functions that are parallel to y = 2x passing through these two points.

The slope-intercept representation of a linear function is presented by the equation shown as follows:

y = mx + b

The coefficients of the the linear function, along with their meaning, are described as follows:

What defines two parallel linear functions is that they have the same slope.

The slope of the line y = 2x is of 2, hence we will have an infinity number of linear functions in the following format:

y = 2x + b.

In which b is the y-intercept of the function.

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The missing term is 18.

From given details :        3:7= : __ 42

           can be converted to fraction if you

           use 1  as the denominator:                =   3 / 7  =  42 / 1

                                                                       = 3 x 42  /  7 x 1  =  126 / 7

                                                                      =   18

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Answer:

$45600.00

Step-by-step explanation:

Year is synonm to annual

As there is 12 months in a year

we times $3,800 by 12 which is $45600.00

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pls:(

The dimension(width and length) of the rectangle are 14 meters and 19 meters respectively.

A rectangle is a quadrilateral that has opposite sides equal to each other. The opposite sides are parallel to each other.

Therefore, the rectangles length is 5 meters more than its width. The  perimeter is 66 meters.

Hence,

perimeter of a rectangle = 2(l + w)

where

Therefore,

l = 5 + w

Hence,

66 =  2(5 + w + w)

66 = 2(5 + 2w)

66 = 10 + 4w

66 - 10 = 4w

56 = 4w

w = 56  /4

w = 14 meters

l = 5 + 14 = 19 meters

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If in 2020, registration was $285.The  percentage that the summer camp registration decrease in 2021 is 5.26%%.

Using this formula to find the decrease in percentage

Decrease in percentage = [2020 registration cost -  (2020 registration cost - 2020 summer registration)] / 2020 registration cost

Let plug in the formula

Decrease in percentage = [285 - (285 -15)] /285

Decrease in percentage =285 - 270 / 285

Decrease in percentage = 15 /285

Decrease in percentage =0.0526× 100

Decrease in percentage =5.26%

Therefore 5.26% is the decrease in percentage .

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