Please help due tomorrow

What transformations could have been used to map ABCE onto A’B’C’D’E?

Please Help Due Tomorrow What Transformations Could Have Been Used To Map ABCE Onto ABCDE?

Answers

Answer 1

Answer: This looks like it is a reflection of the y-axis and then an enlarging dilation.


Related Questions

A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6.
Which statements are always true regarding the diagram? Select three options.

m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°

Answers

Answer:

m∠5 + m∠6 =180°m∠2 + m∠3 = m∠6m∠2 + m∠3 + m∠5 = 180°

Step-by-step explanation:

m∠5 + m∠6 = 180° - This is true because the exterior angle and interior angle form a linear pair, and are thus supplementary.

m∠2 + m∠3 = m∠6 - This is true by the exterior angle theorem.

m∠2 + m∠3 + m∠5 = 180° - This is true because the interior angles of a triangle add to 180 degrees.

The three right options are:

m∠5 ₊ m∠6 = 180° which represents a linear pair.

∠2 ₊ ∠3 = ∠6 showing the exterior angle property of triangle.

m∠2  m∠3  m∠5 = 180° as the sum-triangle

sum-triangleproperty.

Given,

the interior angles of the triangle are 2,3,5

the exterior angle at ∠2 is ∠1.

the exterior angle at ∠3 is ∠4.

the exterior angle at ∠5 is ∠6.

Now, take into account a triangle with external angles as ∠1 , ∠4 and ∠6.

Apply the exterior angle property of a triangle.

The sum of the opposing internal angles determines the outer angle of a triangle.

For exterior ∠1 we get

∠1 = ∠5 ₊ ∠3

Similarly, for exterior ∠4 we get

∠4 = ∠5 ₊ ∠2

Then for exterior ∠6 we get

∠6 = ∠2 ₊ ∠3

∴ through the exterior angle property we get the correct option as

m∠6 = m∠2 ₊ m∠3

Now we know the sum-triangle property that sum of the angles in triangle is equal to 180°

m∠2 ₊ m∠3 ₊ m∠5 = 180°

We know the linear pair property i.e, If the angles follow the point where the two lines cross, they are considered to be linear. A linear pair's angles add up to 180° in every case.,

m∠5 ₊ m∠6 = 180°

Hence we get the statements which match the diagram are:

m∠5 ₊ m∠6 = 180°

m∠2 ₊ m∠3 ₊ m∠5 = 180°

m∠6 = m∠2 ₊ m∠3

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x y 1 -1 2 -3 3 -5 4 -7
A. y = 1 − 2x B. y = -x − 1 C. y = x − 2 D. y = 2x − 1

Answers

Answer:

A) y = 1 - 2x

Step-by-step explanation:

Substitute the points given into all of the equations

Let's take point (1, -1)

A) y = 1 - 2x

-1 = 1 - 2(1)

-1 = 1 - 2

-1 = -1 ✓

B) y = -x - 1

-1 = -1 - 1

-1 =  -2 ✘

C) y = x - 2

-1 = 1 - 2

-1 = -1 ✓

D) y = 2x - 1

-1 = 2(1) - 1

-1 = 2 - 1

-1 = 1 ✘

So far, lines A and C can be possible solutions. Let's try point (2, -3)

A) y = 1 - 2x

-3 = 1 - 2(2)

-3 = 1 - 4

-3 = -3 ✓

C) y = x - 2

-3 = 2 - 2

-3 = 0 ✘

Thus, line A is the correct answer

Type the correct answer in the box. use numerals instead of words. if necessary, use / for the fraction bar. find the missing term. the roots of x2 − ( ) 34 are 5 ± 3i.

Answers

The missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have the roots of a quadratic equation:

5 ± 3i

To find the quadratic equation:

(x - (5+3i))(x - (5-3i))

[tex]\rm =x^2+x\left(-\left(5-3i\right)\right)-\left(5+3i\right)x-\left(5+3i\right)\left(-\left(5-3i\right)\right)[/tex]

= x² -10x + 34

The missing value is 10x

The quadratic equation is:

= x² -10x + 34

Thus, the missing term in the provided quadratic equation is 10x if the roots of a quadratic equation are 5 ± 3i.

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Mr. avanzado has an underground in his house. what unit of measure will he use to find its value

Answers

Answer:  Volume

Step-by-step explanation:

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.

Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She writes and solves the equation 2 l plus 2 w equals 62 to find the width of the run.

Which statements are true of the solution? Check all that apply.

The value of w is 10 feet.
The value of w can be zero.
The value of w cannot be a negative number.
Substitution is used to replace the variable l with a value of 20.
The subtraction property of equality is used to isolate the term with the variable w.

Answers

Answer:

  [c] The value of w cannot be a negative number.

  [d] Substitution is used to replace the variable l with a value of 20.

  [e] The subtraction property of equality is used to isolate the term with the variable w.

Step-by-step explanation:

     To figure out which steps of the solution are true, let us solve.

2 l plus 2 w equals 62 -> 2l + 2w = 62

----

2l + 2w = 62

2(20) + 2w = 62  <- Substitution is used to replace the variable l with a value of 20.

40 + 2w = 62

2w = 22 <- The subtraction property of equality is used to isolate the term with the variable w.

w = 11

     This means that the value of w is not 10 feet so the first option is incorrect. This shape is a rectangle, so the value of w cannot be 0. Since we cannot have a negative measurement, option three is incorrect. This leaves us with the last three options as our answer, shown by the work above.

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(-3 +6 i )(-3 - 6 i )

Answers

Answer:

45

Step-by-step explanation:

A gas tank consists of a cylinder with a hemisphere on top. It is made of metal that is 1 cm
thick. It has an overall height of 90 cm and an external diameter of 20 cm. Calculate:
a the surface area of the tank
b the internal volume of the tank.
(Give answers correct to two significant figures)

Answers

The surface area of the cylinder is 5969.03 cm²

The internal volume is 23156.68 cm³

Given:

A gas tank consists of a cylinder with a hemisphere on top.
The thickness of the metal is 1 cm
The overall height is 90 cm
The external diameter is 20 cm

To Find
a) the surface area of the tank

We will add the area of the bottom circle of radius 10 cm (counting the 1 cm thickness in), the external surface area of cylinder of height (90 - 10) cm =80 cm and radius 10 cm, and the surface area of the hemisphere of radius 10 cm.

So, the surface area of the cylinder is

[tex]\pi\times(10)^2+2\times\pi\times 10\times 80+ 2\times \pi \times (10)^2[/tex]
= π×(100+1600+200)

= π×(1900)

= 5969.03 cm²

b) To find the internal volume of the tank we find the internal volume of the hemisphere with an internal radius (10-1)=9 cm,
the internal volume of the cylinder of radius 9 cm and height (80-1) cm

= [tex]\frac{4}{3}\times \pi \times 9^3[/tex]+[tex]\pi\times 9^2\times 79[/tex]

= 23156.68 cm³

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What would be the cost for 5 of the gift cards?

Answers

Answer:

$100

Step-by-step explanation:

It appears that each gift card costs $20, so 5 of them would be $20 * 5 gift cards = $100

Answer:

$100

Step-by-step explanation:

From the graph we see that each card costs $20.

Kayla has just subscribed to a music streaming service. For a one-time fee of $12.99, she can download songs for $0.65 each, for an entire month. Kayla's budget will allow her to spend no more than a total of $27 on the streaming service this month. What is the maximum number of songs she can download while still remaining within her budget?

a) x <= 22
b) <= 41
c) x <= 21
d) X <= 42

Answers

The maximum number of songs she can download while still remaining within her budget is x <= 21

How to determine the maximum number of songs?

The given parameters are:

One-time fee = $12.99

Rate = $0.65 per song

Budget = $27

The inequality is then represented as:

One-time fee + Rate * x <= Budget

So, we have:

12.99 + 0.65x <= 27

Subtract 12.99 from both sides

0.65x <= 14.01

Divide both sides by 0.65

x <= 21.55

Round down

x <= 21

Hence, the maximum number of songs she can download while still remaining within her budget is x <= 21

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A piece of land is shaped like a right triangle. Two people start at the right angle of the triangle at the same time and walk at the same speed along different legs of the triangle. If the area formed by the positions of the two people and their starting point (the right angle) is changing at 2 sq. meter per seconds, then how fast are the people moving when they are 5 meters from the right angle? (Round your answer to two decimal places.)

Answers

definetly not a

Step-by-step explanation:

because it is an incompetent answer

What is the range of the relation in the table below?

Answers

Range is the set of all values which the given function can output. The correct option is A.

What is domain and range of a function?Domain is the set of values for which the given function is defined.Range is the set of all values which the given function can output.

Since y is the output for the given function, and the only outputs that can be seen for the function are 0, 2, and 4. Therefore, the range of the function is {0,2,4}.

Hence, the correct option is A.

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Find the area of the smaller sector.
Round to the nearest tenth.
50°
7.13 ft
Area = [?]ft²

Answers

Answer:

A ≈ 22.2 ft²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{50}{360}[/tex]

   = π × 7.13² × [tex]\frac{5}{36}[/tex]

    = 50.8369π × [tex]\frac{5}{36}[/tex]

    ≈ 22.2 ft² ( to the nearest tenth )

Answer: 22.2 ft^2

Step-by-Step Solution:

Radius (r) = 7.13 ft
Angle (θ) = 50°

Area of a Sector = θ/360 * πr^2

Therefore,
= θ/360 * πr^2
= θ/360 * π * r * r
= 50/360 * 3.14 * 7.13 * 7.13
= 50/360 * 3.14 * 50.8369
= 5/36 * 159.63
= 798.15/36
= 22.17
=> 22.2

Area of the Sector = 22.2 ft^2

AB is a common external tangent to circles D and C. The points of tangency are at A and B. DC = 13, BC = 2 and AD = 7.
Find AB.

Answers

Based on the calculations, the length of side AB is equal to 13.93 units.

How to find the length of AB?

Since the points of tangency are at A and B, we would determine the side length of the point lying between side A and D as follows:

AM = AD - BC

AM = 7 - 2

AM = 5 units.

Now, we can determine the length of side AB by applying Pythagorean's Theorem:

AB² = BM² + AM²

AB² = 13² + 5²

AB² = 169 + 25

AB = √194

AB = 13.93 units.

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I need help with a question

Answers

Solution :-

Here we have been given with two equations :

x + 5y = 0 (Equation No.1)3y + 2x = -21 (Equation No.2)

¤ From Equation No.1 :

>> x = -5y

¤ In Equation No.2 :

Substituting the value of x which we got above as -5y here.

>> 3y + 2(-5y) = -21

>> 3y + 2 × (-5y) = -21

>> 3y - 10y = -21

>> -7y = -21

>> 7y = 21

>> y = 21 / 7

>> y = 3

¤ Finding out value of x :

>> x = -5y

>> x = -5(3)

>> x = -15

Answer: x = -15, y = 3

Step-by-Step Explanation:

=> x + 5y = 0 (Eq. 1)
=> 2x + 3y = -21 (Eq. 2)

From Eq. 1 :-

x = 0 - 5y
=> x = -5y (Eq. 3)

Substitute value of ‘x’ from Eq. 3 in 2 :-

2x + 3y = -21
2(-5y) + 3y = -21
-10y + 3y = -21
-7y = -21
7y = 21
y = 21/7
=> y = 3

Therefore, y = 3

Substitute value of ‘y’ in Eq. 3 :-

x = -5y
x = -5(3)
x = -5 * 3
=> x = -15

Therefore, x = -15

Hence, x = -15, y = 3 (-15, 3)

Which of the following statements must be true about parallelogram ABCD? A) angle B+ angle D=180^ B) angle ABC cong angle CDA C) overline AC || overline BD D) overline BC cong overline CD

Answers

Answer: B) ∠ABC = ∠CDA

Detailed Explanation:

In a Parallelogram, Opposite Angles are Equal. Therefore, in this Figure ∠ABC = ∠CDA and ∠BAD = ∠BCD.

Therefore, Option B is True about the Parallelogram ABCD.

Need help (pic included)

Answers

Answer:

r = 5

Step-by-step explanation:

The zeroes ( where the function intersects the x - axis) are equi-distant from the vertex line of symmetry

vertex 2,4      to  get to  -1 , 0    you have to go three units in the negative x direction .....  the other zero is on the OTHER side of the vertex 3 units which would be    5,0       so   r  = 5

Here is a graph to look at:

2y + 9 = 4 pls aswer the question pls pls​

Answers

Step-by-step explanation:

2y+9= 4

2y=-5

y=-5/2

y= -2and 1/2

A survey was given to ask a group of adults if they liked chocolate or vanilla ice cream more. The table shows the survey results of three age groups.

(see attachment for table)

A person is selected at random. Determine the probability of each described event. Round your answers to two decimal places.

P(20s | Chocolate) = ________
P(Chocolate | 30s) * P(Vanilla | 30s) = ________

Answers

There are 127 people who like chocolate and 33 of them are in their 20s
P(20s | Chocolate) = 33 / 127 = 0.26 (2dp)

There are 122 people in their 30s 53 liking chocolate and 69 vanilla
P(chocolate | 30s) x P(vanilla | 30s) = 53/122 x 69/122 = 0.25 (2dp)

The probability of P(20s | Chocolate) and P(chocolate | 30s) x P(vanilla | 30s) will be 0.26 and 0.25, respectively.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Adults were polled to determine whether they preferred vanilla or chocolate ice cream. The survey findings for three age groups are displayed in the table.

There are 127 people who enjoy chocolate, and 33 of them are in their 20s is given as,

P(20s | Chocolate) = 33 / 127 = 0.26

There are 122 persons in their 30s, and 53 of them prefer chocolate 69 others prefer vanilla is given as,

P(chocolate | 30s) x P(vanilla | 30s) = 53/122 x 69/122 = 0.25

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The time it takes me to wash the dishes is uniformly distributed between 7 minutes and 15 minutes.
What is the probability that washing dishes tonight will take me between 13 and 14 minutes?
Give your answer accurate to two decimal places.

Answers

Hi :)

. Mathematically speaking, there are nine different times your dish-washing could take you. It could take you 7, 8, 9, 10, 11, 12, 13, 14 or 15 minutes.

And the probability for it to take you, say, 10 minutes, is equal to every other probability. This is, therefore, a situation of equiprobability.

100 / 9 = about 11,11111…
Meaning that each of the different outcome (be it for it to take 7, 8, 9, 10, 11, 12, 13, 14 or 15 minutes) has a 11,1111… probability to occur.

However, we are interested in two specific outcomes if our situation: we are interested in the dish-washing taking us 13 or 14 minutes.

2 x 11,1111 = roughly 22, 22 % probability, or 0,22 of probability.

I hope this helps! Have a nice day :)

Given the function h of x equals negative 5 times the square root of x, which statement is true about h(x)?

The function is decreasing on the interval (–∞, 0).
The function is increasing on the interval (–∞, 0).
The function is decreasing on the interval (0, ∞).
The function is increasing on the interval (0, ∞).

Answers

Answer:

The function is decreasing on the interval ( 0,∞)

The function h(x) = -5√x is decreasing on the interval (–∞, 0) is true, Option A is correct.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given function h of x equals negative 5 times the square root of x.

h(x) = -5√x

The value of h(x) decreases as the value of x increases.

The function h(x) is a decreasing function over the interval (–∞, 0) because it is a negative function over the interval.

Hence, the function is decreasing on the interval (–∞, 0) is true.

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!!!! PLEASE HELP !!!!
The senior classes at High School A and High School B planned separate trips to
New York City. The senior class at High School A rented and filled 4 vans and 3
buses with 133 students. High School B rented and filled 9 vans and 1 bus with 167
students. Each van and each bus carried the same number of students. How
many students can a van carry? How many students can a bus carry
A) Van: 23, Bus: 16
C) Van: 6, Bus: 34
B) Van: 25, Bus: 36
D) Van: 16, Bus: 23

Answers

Answer for the question is B

A box contains x apples.
5 are green and the rest are red.
Write an expression for P(red).

Answers

The expression for P(red) is (x - 5)/x

How to determine the expression?

The given parameters are:

Apple = x

Green = 5

The number of red apples is:

Red = Apple - Green

This gives

Red = x - 5

The expression for P(red) is then calculated as:

P(Red) = Red/Apple

This gives

P(Red) = (x - 5)/x

Hence, the expression for P(red) is (x - 5)/x

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y = 7x (6/7,-1/4) ….

Answers

Answer:

This point is not on the line, NOT TRUE

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

           b represents the y-intercept

where the format of a point is (x, y)

Given: y = 7x (6/7, -1/4)

we can plug in the point (6/7, -1/4)

-1/4 = 7(6/7)

-1/4 = 6

-1/4 does not equal 6 so this point is not on the line

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A company ordered $6,000 worth of chairs. Some of the chairs ordered cost $20 each and the others cost $40 each. If twice as many $20 chairs as $40 chairs were ordered, how many chairs were ordered altogether

Answers

In total 180 chairs are ordered for the cost $6000.

The total cost of chairs=$6,000.

What are simultaneous equations?

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

Let x be the chairs ordered each at $20 and y be the chairs ordered each at $40.

Then equation will be 20x+40y=6000-------(1)

Given that, twice as many $20 chairs as $40 chairs were ordered.

That is 2x=y⇒2x-y=0--------(2)

Multiply equation (2) by 40.

That is 80x-40y=0--------(3)

By adding equation (2) and (3) we get

20x+40y+80x-40y=6000

⇒100x=6000

⇒x=60

Substitute x=60 in equation (2)

That is, 2x=y

⇒y=120

Total number of chairs=x+y=60+120=180 chairs.

Hence, in total 180 chairs are ordered for the cost $6000.

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How do you write an equation in function form?

Answers

Answer: Writing an equation in function form. You want to remove the x term from the side y is on and move it to the other side of the equal sign. To do this either add or subtract the x term from both sides. Next divide by the coefficient of the y term. Now your equation is in function form.

explanation: like 57 * Y =142500

what is the number for Y if u don't know u could divided 142500 by 57 and it equals? 2500;) hope I helped

Match each box plot to the data set it represents.

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
{20,18,8,18,10,8,4}
{12,14,16,20,4,8,10}
{12,16,4,20,8,6,8}

Answers

An expression can either be an equation or an inequality.

The correct classification of the terms are:

Expression; 4x+20

Inequality: 4x+20>40

Equation: 4x+20=40

We have given that,

{20,18,8,18,10,8,4}

{12,14,16,20,4,8,10}

{12,16,4,20,8,6,8}

How to determine the correct classification?

To determine the correct classification, we make use of the following highlights

When an expression has the =, then the expression is an equation.

When an expression has any of the following signs>, <, >=, <= or != , then the expression is an inequality.

When the expression is neither an equation nor an inequality, then it is just an expression.

Hence, the correct classifications are:

Expression; 4x+20

Inequality: 4x+20>40

Equation: 4x+20=40

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Find the missing length A. 80
B. 15
C. 64
D. 60

Answers

Answer:

the answer is C.64

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

because the

Find the constant of proportionality
(
r
)
(r)left parenthesis, r, right parenthesis in the equation
y
=
r
x
y=rxy, equals, r, x.

Answers

The constant of proportionality is 0.1

Complete question

Find the constant of proportionality (r)in the equation y=rx.

r =

x    y

14  1.4

16  1.6

21  2.1

How to determine the constant of proportionality?

The equation is given as:

y = rx

When x = 14 and y = 1.4, we have:

1.4 = r * 14

Divide both sides by 14

r = 0.1

Hence, the constant of proportionality is 0.1

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Please help with this

Answers

Answer:

  (a)  Horizontal line test

Step-by-step explanation:

A relation that is a function already passes the vertical line test. If it has an inverse function, that function must also pass the vertical line test.

Inverse relation

The inverse relation will be the same graph reflected across the line y=x. That is, points that are horizontally aligned on the relation graph become vertically aligned on the inverse relation graph.

Inverse function

If the inverse relation is to be a function, then there must be no points on its graph that are vertically aligned. This requirement translates to the requirement that there be no horizontally-aligned points on the graph of the original relation. The "horizontal line test" checks for horizontally aligned points. If there are none, the test is said to pass.

A function will have an inverse function if it passes the Horizontal Line Test.

__

Additional comment

The attached graph shows a function (red curve) that does not pass the horizontal line test. Its inverse relation is the green curve, which you can see is not a function. It does not pass the vertical line test.

The line y=x is shown (dashed orange) so you can see the symmetry of the function and its inverse.

PLEASE HELP!!!
Part A: Solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)

Part B: Use this list of properties to justify each step of your math work. Justifications may be used more than once if needed. (5 points)


Distributive Property
Subtraction Property of Equality
Combine Like Terms
Multiplication Property of Equality
Division Property of Equality
Given
Addition Property of Equality

Answers

Answer:

See below

Step-by-step explanation:

4(x + 5) = 9x + 4x − 34

4x + 20 = 9x + 4x − 34   [Distributive]

4x + 20 =  13x − 34         {Combine Like Terms]

4x - 13x + 20 = 13x - 13x − 34  [Subtractive:  -13x both sides]

-5x + 20 = - 34            [Combine Like Terms]

-5x + 20 - 20 = -34 - 20     [Subtractive:  - 20 both sides]

-5x  = -54               [Combine Like Terms]

x = -54/-5             [Division Property:  divide both sides by -5]

x =  - 10 4/5            

Other Questions
What is the key word in the sentence?The actor's charisma made him attractive to both young and old.O CharmO PreacherO CharismaO Attractive Female executives in international business have workplace challenges due to gender biases in some countries. For this reason, some companies do not eagerly offer women _____. If data from a clinical trial contains personal information about a study participant, which process should be used to separate identifying information from health information?A. De-identification B. Informed consentC. ALCOAD. Good documentation practices Instruction: Compare the following well-formed translations with grammatically incorrect sentences (indicated with an asterisk at the beginning) and note any patterns you recognize:English Right WrongThis book Este libro *Estos libroThese chairs Estas sillas *Esta sillasThat plate Ese plato *Esos platoThose cars Aquellos carros *Aquel carrosThose houses Aquellas casas *Aquellos casas Jenny has 36 cupcakes. How many kids (including Jenny) can share these cupcakes evenly?The number of kids who can share 36 cupcakes evenly could be: find the inverse of the given function f(x) = (-2x+1)^2 where x _< 1/2 Solve the equation x - 5x+2x+8 = 0 given that - 1 is a zero of f(x)= x3 - 5x+2x+8.The solution set is? (Use a comma to separate answers as needed.) Go where you may, search where you will, roam through all the monarchies and despotisms of the old world, travel through south america, search out every abuse, and when you have found the last, lay your facts by the side of the everyday practices of this nation, and you will say with me, that, for revolting barbarity and shameless hypocrisy, america reigns without a rival. which best describes the impact of the authors repetitive use of words that suggest similar ideas, such as "go," "search," and "roam"? they urge readers to take definitive and far-reaching action. they point to different perspectives about the same idea. they remind readers of the great scope of the argument. they recall earlier references douglass has made to travel. Why did the Vikings stop their exploration/colonization of North America? Construct the truth table and determine the truth value of the following compound statement. a)p(p r) b) (q r) (p q) Explain the difference between area and volume.a. Area is a measurement of the distance around an object, while volume measures the amount of two-dimensional space inside an object.b. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object represents the distance around it.c. The area of an object is the amount of 3-dimensional space is inside it. The volume of an object is a measurement of how much 2-dimensional space it has.d. The area of an object measures the amount 2-dimensional space it occupies. Volume represents the amount of space inside a 3-dimensional object. Miracle Pill. Katie advertised that she had developed a pill for women that would result in weight loss, wrinkle loss, and improved vitality; and for men would result in all those things, plus hair growth. Her television advertisement showed miracle results allegedly obtained by consumers. Katie cautioned, however, that ingestion of the pill for six months was required before results would be evident. The pill was wildly popular. The Federal Trade Commission, however, investigated and determined that Katie had failed to have a reasonable basis for the claims she made in advertisements. Katie claimed that she was merely involved in the use of generalities and clear exaggerations. The Federal Trade Commission disagreed and issued a formal administrative complaint against her. After a hearing, the Federal Trade Commission issued an order requiring that Katie stop advertising and selling the pills. After losing all appeals, Katie continued selling the pills until she was fined by the Federal Trade Commission. She has since left the country and cannot be located. Who would have presided over the hearing involving the administrative complaint filed against Katie by the Federal Trade Commission?a) A state circuit court judgeb) A federal district court judgec) An administrative law judged) A panel of commissioners of the Federal Trade Commissione) The full commission of the Federal Trade Commission A train travels at 100 milers per hour. An equation can be written that compares the time (t) with the distance (d). Define the domain and range solve the following inequality, algebra 1. will give brainliest answer !! Does this graph show a function? Explain how you know.O A. No; the graph fails the vertical line test.O B. Yes; there are no y-values that have more than one x-value. C. No; there are y-values that have more than one x-value.O D. Yes; the graph passes the vertical line test. 10. Write the 2 Hardy-Weinberg equations. Use the equation to calculate the percentage of carriers of cystic fibrosis (a recessive disease, you must have two recessive alleles to have the disease) in a population if the frequency of cystic fibrosis births in that population is 9 in 1000. find the odds against rolling a number larger than 1 on a die Which of the following are square roots of the number below? Check all thatapply.4A. 41/2B. 8C. -41/2D. 2E. -2F. 16 . The two bottles are similar in shape. The larger bottle holds 100 m/ of perfume. Calculate how many millilitres of perfume the smaller bottle holds.The length of the larger bottle is 10cm.the length of the smaller bottle is 5cm What happened to Helen after her illness?