9 A square is graphed on the set of axes below, with vertices at
(-1,2), (-1,-2), (3,-2), and (3.2).
Which transformation would not carry the square onto itself

Answers

Answer 1

Answer:

With the information given, I would say a dialation.

Step-by-step explanation:

Answer 2

Rotation of 180 degree around point (1, 0). Therefore, option (3) is the correct answer.

What is a transformation?

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given that, the square with vertices (-1, 2), (-1, -2), (3, -2) and (3, 2).

(1) Reflection over the y-axis

Then the vertices become (1, 2), (1, -2), (-3, -2) and (-3, 2)

So, the transformation carries the square onto itself.

(2) Reflection over the x-axis

Then the vertices become (-1, -2), (-1, -2), (3, 2) and (3, -2)

So, the transformation carries the square onto itself.

(3) Rotation of 180 degree around point (1, 0)

(x, y) becomes (-y, x) 180° clockwise

So, the coordinate points are (-2, -1), (2, -1), (2, 3) and (-2, 3)

So, the transformation does not carries the square onto itself.

Therefore, option (3) is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

A square is graphed on the set of axes below, with vertices at (-1,2), (-1,-2), (3,-2), and (3.2). Which transformation would not carry the square onto itself.

(1) Reflection over the y-axis

(2) Reflection over the x-axis

(3) Rotation of 180 degree around point (1, 0)

(4) Reflection over the line y=x-1


Related Questions

Quadrilateral ABCD~ Quadrilateral WXYZ, AB= 15, BC= 27, WX= 10

Answers

The scale factor is 3/2. The length of XY is 18.

What are similar Quadrilaterals?

Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape. Real-world examples of congruent figures or objects include, for instance, both of a person's hands, both of a car's front wheels, etc.

If the corresponding angles and sides of two quadrilaterals are equal, then the two quadrilaterals are similar.

Given that Quadrilateral ABCD is similar to  Quadrilateral WXYZ.

Thus

AB/WX = BC/XY = CD/YZ = AD/WZ  ....(i)

The length of AB = 15, BC= 27, WX= 10

The scale factor is

AB/WX = BC/XY = CD/YZ = AD/WZ

= 15/10

= 3/2   [Divide the denominator and numerator by 5]

Take first two ratios of (i):

AB/WX = BC/XY

15/10 = 27/XY

3/2 = 27/XY
XY = 27 × (2/3)

XY = 18

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the primary tool or measure for determining whether the assumed regression model is appropriate is .

Answers

The primary tool or measure for determining whether the assumed regression model is appropriate is the residual plot.

A residual plot is a graph that shows the residuals, or the differences between the observed values and the predicted values from the regression model, plotted against the predictor variable(s). If the residuals are randomly scattered around zero, with no discernible pattern, then the regression model is a good fit for the data.

However, if there is a pattern in the residuals, such as a curved or U-shaped relationship, then the regression model may not be appropriate and a different model may need to be considered.

In addition to the residual plot, other measures such as the coefficient of determination (R-squared), the p-values of the regression coefficients, and the normality of the residuals can also be used to evaluate the goodness of fit of a regression model.

However, the residual plot is often considered the primary tool for assessing the adequacy of a regression model.

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The number of hours, h, it takes for a block of ice to melt varies inversely as the temperature, t. If it takes 3 hours for a square inch of ice to melt at 60 degrees, find the constant of proportionality
a.
150
c.
210
b.
180
d.
200


Please select the best answer from the choices provided

A
B
C
D


Answer is B

Answers

The constant of proportionality is 180.

In the​ U.S., shoe sizes are defined differently for men and​ women, but in​ Europe, both sexes use the same shoe size scale. The accompanying histogram shows the European shoe sizes of 269 male and female college​ students, converted from their reported U.S. shoe sizes. What might be the problem with either the mean or the median as a measure of​ center?

Answers

To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately.

The problem with the central measure, mean or median, in this case is that the data is not gender-specific and there is a possibility that male and female shoe size distributions are different. Therefore, calculating the average or median shoe size for all students may not accurately reflect the typical male and female shoe sizes, respectively.

For example, if the males in the sample have, on average, a larger shoe size than the females, then the average shoe size of all students might be biased towards the larger size, even if most of the students are female. On the other hand, if you have several boys with very large shoe sizes, the median shoe size of all students may be biased toward the larger size, even if most of the students are women with small shoe sizes.

To accurately represent men's and women's shoe sizes separately, it is recommended to calculate and compare the average or median shoe size for each group separately. Alternatively, a fashion report representing the most common shoe sizes in the data might be a better measure of the centroid.

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identify the constraints in this problem, and use them to set up a system of linear equations that describes the traffic flow along each street. your answer should include: i. a list of constraints along with an explanation for each constraint. ii. the linear system of equations that model this scenario.

Answers

Based on the traffic flow model, the city should close the road with the least amount of traffic. From the diagram, we see that the road with the least amount of traffic is Salisbury St.

(a) Constraints:

The flow into and out of Jones St. is equal to the total flow into and out of Salisbury St. and Edenton St.

The flow into and out of McDowell St. is equal to the total flow into and out of Salisbury St. and Edenton St.

The flow into and out of Salisbury St. is equal to the sum of the flow into and out of Jones St. and McDowell St.

The total flow into and out of each street must be greater than or equal to 0.

Let x, y, z, and w be the traffic flow in cars per hour along Jones St., Salisbury St., Edenton St., and McDowell St., respectively. Then the system of linear equations that models this scenario is:

x - y - z = 0

w - y - z = 0

y + z - x - w = 0

x, y, z, w ≥ 0

(b) Augmented matrix representation:

[1 -1 -1 0 | 0]

[0 -1 -1 1 | 0]

[1 -1 1 -1 | 0]

[1 0 0 0 | 0]

Gauss-Jordan reduction:

[1 0 0 0 | 0]

[0 1 0 0 | 0]

[0 0 1 0 | 0]

[0 0 0 0 | 0]

The final augmented matrix is shown above. The solution to the system is x = 0, y = 0, z = 0, and w = 0.

(c) If the city were to close one of these 4 roads, then the traffic would have to be rerouted. Based on the traffic flow model, the city should close the road with the least amount of traffic. From the diagram, we see that the road with the least amount of traffic is Salisbury St. Therefore, the city should close Salisbury St.

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Find the prime factorization of
the number 90.
Order the factors from least to greatest.
Remember, 1 is not a prime number.
[ ] × [ ] × [ ] × [ ]
Enter the number that belongs in the green box.

Answers

Answer:

2 × 3 × 3 × 5 = 2 × 3 × 3 × 5

Step-by-step explanation:

The prime factorization of 90 is 2 × 3 × 3 × 5, so the prime factors are 2, 3, 3, and 5. Ordering the factors from least to greatest, we have:

2 × 3 × 3 × 5 = 2 × 3 × 3 × 5.

A circle has a radius of 3 inches. What is the circumference of the circle? (Use 3.14
for pi.)

Answers

Answer: look at the image for the answer and the solution

Step-by-step explanation:

Answer: 18.84

Step-by-step explanation:

because the radius is 3, the diameter is 6. And the circumference is C=pi(d).In this case, C=3.14(6), and 3.14*6=18.84

Parallelogram CDEF is shown below.
Find the length of the segments and the measure of the angles: CF, FE, ∠D, and ∠E.

Answers

The segments' lengths and the angles' measurements are FE = 11,  CF = 10,  d = 54, and e = 126

What is meant by parallelogram?Having sides that are parallel to one another, a parallelogram is a two-dimensional geometric shape. It is a sort of four-sided polygon (sometimes known as a quadrilateral) where each parallel pair of sides is the same length. A parallelogram has a total of 180 degrees in its adjacent angles. Parallelograms come in 4 different varieties, 3 of which are unique. Parallelograms, squares, rectangles, and rhombuses are the four different varieties.A parallelogram has two parallel, equilateral sides. Square, rectangle, and rhombus are a few instances of parallelograms.The quadrilateral shape known as a parallelogram is used in geometry. The object has four sides and is two-dimensional.

As this is a parallelogram c = e

so 9y = 7y + 28

9y - 7y = 28

2y = 28

y = 14

So e would be 7(14) + 28

= 98 + 28

= 126.

And as d + e = 180, d = 180 - 126

d = 54

And as CF = DE

2x = x + 5

2x - x = 5

x = 5

CF = 2x

= 2(5)

= 10

And lastly CD = FE

CD = 3x - 4

CD = 3(5) - 4

= 15 - 4

= 11

FE = 11

So the answers are:

FE = 11,  CF = 10,  d = 54, and e = 126

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What is the growth factor of 2% decreased

Answers

The growth factor of a 2% decrease is 0.98.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The growth factor of 2% decreased.

This means,

100% - 2%

= 98%

= 98/100

= 0.98

Thus,

0.98 is the growth factor of a 2% decrease.

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a poker hand consists of ive cards drawn from a standard 52-card deck. find the expected number of aces in a poker hand given that the irst card drawn is an ace.

Answers

The expected number of aces in a poker hand given that the first card drawn is an ace is 0.235.

If the first card drawn is an ace, then there are only 3 aces left in the deck of 51 cards from which to draw the remaining 4 cards. Therefore, we can model the number of aces in the poker hand as a binomial random variable with parameters n = 4 (the number of cards after the first ace) and p = 3/51 (the probability of drawing an ace from the remaining deck).

The expected number of aces in a poker hand given that the first card drawn is an ace can be calculated as follows:

E(X) = np = 4 * 3/51 = 12/51 = 0.235

Therefore, the expected number of aces in a poker hand given that the first card drawn is an ace is approximately 0.235.

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____ The given question is incorrect, the correct question is given below:

A poker hand consists of five cards drawn from a standard 52-card deck. find the expected number of aces in a poker hand given that the first card drawn is an ace.

as a rule of thumb, altitude corrections of less than 100 feet should be corrected by using

Answers

As a rule of thumb, altitude corrections of less than 100 feet for determining the pressure at a given altitude should be corrected using the standard pressure-altitude correction tables.

These tables provide the correction factor for the difference between the actual and standard atmospheric pressure at a given altitude. The correction factor can then be applied to the standard pressure value to obtain the actual pressure value at that altitude. Note that the standard atmospheric pressure is defined as 29.92 inches of mercury (in Hg) at sea level. The pressure decreases with increasing altitude in the lower atmosphere. The pressure-altitude correction tables provide a convenient and accurate way of determining the atmospheric pressure at different altitudes.

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Cindy spent $65. 25 on ingredients
for blueberry pies and $62. 84 on
ingredients for cherry pies. Each slice
of pie sells for $3. 50

Answers

Cindy spent a total of $128.09 on ingredients for pies. She will be able to make 18 slices of pie with this amount of ingredients.

1. Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.

2. Add the two amounts together: $65.25 + $62.84 = $128.09

3. Each slice of pie sells for $3.50.

4. Divide the total spent on ingredients by the cost of a slice of pie: $128.09 / $3.50 = 18 slices of pie.

the complete question is :

Cindy spent $65. 25 on ingredients for blueberry pies and $62. 84 on

ingredients for cherry pies. Each slice of pie sells for $3. 50.How much did Cindy spend on ingredients for blueberry and cherry pies, and how many pies can she make from that?

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= #14 i
PRECISION Figures A and B are similar. Figure A has a
perimeter of 72 meters and one of the side lengths is 18
meters. Figure B has a perimeter of 120 meters. Find the
missing corresponding side length.
The missing corresponding side length is
Previous
meters.
Next

Answers

The missing corresponding side length of figure B is 30 meter.

What is an equation?

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

Two figures are said to be similar if the ratio of their corresponding sides are in the same proportion.

Figures A and B are similar. Figure A has a perimeter of 72 meters and one of the side lengths is 18 meters. Figure B has a perimeter of 120 meters. Find the missing corresponding side length.

Let x represent the missing side length. Hence:

Scale factor = figure B perimeter / figure A perimeter = 120/72

Hence:

scale factor = figure B side length / figure A side length

substituting:

120/72 = x / 18

x = 30 meter

The missing side length is 30 meter.

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At Charles Walters Middle School, 30% of the students live more than 4 miles from school.

Answers

The fraction of the students live more than 4 miles from school is 3/10.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

Given;

The percentage of students live more than 5 miles away=30%

Now,

The fraction;

=30/100

To convert it into the simplest from;

=30/100

=3/10

Therefore, the fraction in simplest form will be 3/10.

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The complete question is;

At Charles Walters Middle School, 30% of the students live more than 4 miles from school.What fraction of the students live more than 4 miles from school? Write your answer as a fraction in simplest form. ?​

Clarice has animated a 3D airplane with visible passengers in the windows. She wants the plane to move on a predetermined path across the screen. What form of animation should she use?

Answers

Clarice should use keyframe animation for her 3D airplane with visible passengers in the windows. Keyframe animation is a type of animation where objects are moved and manipulated frame by frame, allowing for precision in movement and timing. This would allow Clarice to animate the plane on a predetermined path across the screen.

Which equations are true for the values of x, y, and z?

Answers

The equations that are true for the values of x, y and z are :

x degrees + 65 degrees = 180 degreesx degrees = z degreesy degrees = 65 degrees

What are the equations for x, y, and z ?

The equations can be found based on the relationships between the variables as angles.

x and z are opposite each other which makes them congruent angles which means that they are the same value.

y and 65 degrees are also opposite each other which makes them congruent.

x and 65 degrees are on a straight line and so will add up to 180 degrees which is why the correct equation would be :

x degrees + 65 degrees = 180 degrees

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Options include:

x degrees + 65 degrees = 180 degreesx degrees = z degreesy degrees = 65 degreesx degrees= 65 degreesx degrees + y degrees + z degrees = 115 degrees

factor out the greatest common factor from 6x^4 + 8x^3 PLEASE HELP

Answers

Answer: 2x^3(3x+4)

Step-by-step explanation: 2x3x^4+2^3xx^

Point G is located at -18 on a number line. Point H is 24 more than Point G. Where is Point h?

Answers

Point H is located at 6 on the number line, which is 6 units to the right of the zero point.

We know that Point G is located at-18 on the number line, and that Point H is 24 further than Point G. To find the position of Point H, we need to add 24 to the position of Point G

Point H = Point G + 24

Substituting the position of Point G, we get

Point H = -18 + 24

Simplifying the expression, we get

Point H = 6

thus, Point H is located at 6 on the number line.

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Suppose the graph of rectangle ABCD shows the plans for a safety fence that Kenny is setting up around a construction area. Each unit on the graph represents 25 feet. After studying the plans, Kenny decides to build a fence that encloses a larger area. If Kenny dilates rectangle ABCD by a scale factor of 2.5, and fencing costs $5.25 per foot, how much will he spend on fencing?

Answers

The cost of spending the fencing around will be $1312.5.

What is a perimeter?

The perimeter of any two-dimensional figure is defined as the sum of all the sides of the figure. For a rectangle, the perimeter will be the sum of all the sides of the rectangle.

Given that the graph of rectangle ABCD depicts Kenny's intentions for erecting a safety fence to surround a construction site. The units on the graph each correspond to 25 ft.

Kenny decides to construct a fence that encloses a wider region after carefully reviewing the drawings. Given that fencing costs $5.25 per foot and Kenny enlarges rectangle ABCD by a scale factor of 2.5

Perimeter = 4 x side x scale factor

Perimeter = 4 x 25 x 2.5

Perimeter = 250 feet.

The cost of fencing will be,

Cost = 250 x $5.25

Cost = $1312.5

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solve for v -62=8v-12v-18

Answers

Answer:

v=11

Step-by-step explanation:

Combined like terms and then divide at the end

Answer: V=11

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

a is directly proportional to the square root of c. w is inversely proportional to a³.
When c = 49, a = 35
When a = 2, w = 16.
Find the value of w when c = 4.​

Answers

Answer:

W when c = 4 is 0.128.

Step-by-step explanation:

The relationship between A, C and W can be represented by the following equations:

A = k√c

W = m/a^3

Where k and m are constant of proportionality.

Since A is directly proportional to the square root of c, we can write k = A/√c. Substituting the values of A and C when c = 49, we have:

k = 35/√49 = 35/7

Since W is inversely proportional to a^3, we can write m = W * a^3. Substituting the values of W and A when a = 2, we have:

m = 16 * 2^3 = 128

Now we have both k and m, we can find the value of W when c = 4.

A = k * √c = 35/7 * √4 = 10

W = m/a^3 = 128/10^3 = 0.128

So, the value of W when c = 4 is 0.128.

Minja is three years older than her sister June. Minja's brother is eight years younger
than their sister June. The sum of all of their ages is 55 years.
x+3-8x=55.
3x 8x + x 55.
(x+3-8)+x=55
(x+3)+(x-8)+x=55
-

Answers

Answer: C

Step-by-step explanation:

consider the function graphed below. What is the average rate of change of the function over the interval (2,3)?

Answers

The average rate of change of the function over the interval [2,3] will be around 3.

What is a function?

Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).

For example to draw the equation y = 3x +2 this will draw a straight line in the coordinate geometry.

The rate of change is given by dy/dx

The average rate of change can be given as:

= (difference in y coordinate)/(difference in x coordinate)

= Δy/Δx

Average rate of change = ( 11 - 8 )/(3 - 2 )

                                        = 3

Hence, the average rate of change is 3

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Help please I need this answer

Answers

Step-by-step explanation:

We know all angles on a traingle equal 180

We also know one angle is a right angle which is 90

180 - 90 = 90, indicating the other two angles equal 90

[tex](2x - 1) + (3x + 6) = 90[/tex]

Now we will combine the X's and constants

[tex]5x +5 = 90[/tex]

Now to subtract 7

[tex]5x = 85[/tex]

Lastly, divide by 5

[tex]x = 17[/tex]

What is the solution to 3 (2k + 3) = 6 - (3k - 5)?
Move the correct answer to each box. Not all answers will be used.
k
-8 -2 2
3 8
9

Answers

Answer: 22k

Step-by-step explanation:

The solution to the equation is k = 2/9

What is an Equation?

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 equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

3 ( 2k + 3 ) = 6 - ( 3k - 5 )   be equation (1)

On simplifying , we get

3 ( 2k ) + 9 = 6 - 3k + 5

6k + 9 = 11 - 3k

Adding 3k on both sides , we get

9k + 9 = 11

Subtracting 9 on both sides , we get

9k = 2

Divide by 9 on both sides , we get

k = 2/9

Therefore , the value of k is 2/9

Hence , the solution is k = 2/9

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help Imao pleaseeeeee

Answers

5 minus a number is less than -9: 5 - x < -9.

The product of 2 and a number is a minimum of 34: 2x ≥ 34.

Answer:

2.    [tex]2n\geq 34[/tex]

3.    [tex]5-n < -9[/tex]

Step-by-step explanation:

The product of 2 numbers is multiplication.

"a minimum of" is greater than or equal to.

A number minus a number is subtraction.

2.

"The product of 2 and a number" can be written as [tex]2n[/tex].

"a minimum of 34" can be written as [tex]\geq 34[/tex]

So all together

[tex]2n\geq 34[/tex]

3.

"5 minus a number" can be written as [tex]5-n[/tex]

"less than -9" can be written as [tex]< -9[/tex]

So all together

[tex]5-n < -9[/tex]

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how many sides does a regular polygon have if each interior angle measures 140

Answers

A regular polygon with interior angles that measure 140 degrees has 9 sides. All interior angles are congruent, meaning they have the same degree measure.

To find the number of sides in a regular polygon with a given interior angle measure, we can use the formula:

n = 360 / (180 - x)

where n is the number of sides and x is the measure of each interior angle in degrees.

This formula is derived from the fact that the sum of the interior angles in a polygon with n sides is given by the formula (n-2) * 180. In a regular polygon, each interior angle measures (Sum of interior angles / n). If we substitute the formula for the sum of interior angles into the formula for the measure of each interior angle, we get:

x = (n-2) * 180 / n

Solving for n:

n = 360 / (180 - x)

So, when we plug in the given interior angle measure of 140 degrees, we get:

n = 360 / (180 - 140)

n = 360 / 40

n = 9

Therefore, a regular polygon with interior angles that measure 140 degrees has 9 sides.

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How many sides does a regular polygon have if each interior angle measures 140?

i need help with this problem

Answers

Answer: Yes. for each input there is exactly

ONE output

Step-by-step explanation:

I did the test and it was true.

Can someone show meh pls
The tape diagram represents an equation.

Write an equation to represent the image

w 1.3 2.7

Answers

The equation that represents the image will be w + 1.3 = 2.7. And the value of 'w' will be 1.4.

What is the solution to the equation?

An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.

The length of both tapes is the same. Then the equation is given as,

w + 1.3 = 2.7

Simplify the equation for w, then we have

w + 1.3 = 2.7

w = 1.4

The equation that represents the image will be w + 1.3 = 2.7. And the value of 'w' will be 1.4.

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8q≥– 8 I need the answer pls

Answers

Answer:

=q > - 1

Step-by-step explanation:

8q > - 8

= 8q/8 > -8/8

=q > - 1.

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Select all of the characteristics of melody that are typical in baroque music.A) The melody creates a feeling of continuityB) The melody is balanced and symmetricalC) The melody has a constant character, even with varied formD) The opening melody is heard again and again a small portion of a larger religious group that usually has a different view than those in the majority____ in an early study of black spruce trees in canada's hudson bay area, researchers studying nuclear dna found no reduction of genetic diversity in post-ice-age populations, and thus no evidence of founder effects. why did a recent study, using mitochondrial dna (mtdna), show different results regarding the founder effects in black spruce? Which statement is true about handwashing? you can use hand sanitizer in place of soap you should dry your hands with a disposable paper towel rinsing your hands with warm water removes germs you should scrub your hands together for at least 10 seconds Determine if you think ethics are respected or violated. Be sure to Answer the questions following the case.Case 1You have a friend who wants to apply for a job at the company for which you work. As an employee, you have access to the company server. An error has been made and you realize you have a full view of confidential material. You find the interview questions and employment tests that are administered to applicants. You contemplate printing and giving the information to your friend so he can be prepared when applying for the job.Answer the following questions in complete sentences:Which of the following ethical issues was violated in the above case Confidentiality or Proprietary Information?Describe the ethical issue you chose in question 1. (Confidentiality or Proprietary Information)What in the text supports your decision of the violated ethical issue in question 1? Give at least 2 examples. Please answer all questions company abc's after-tax cash flow is expected to be $10 million next year, and this annual cash flow is expected to grow at 5% per year forever. the appropriate discount rate is 9%. what is the value of company abc? (note: your answer should be expressed in units of millions of dollars.) an analyst has a sample of 28 observations of the weekly return of an index portfolio that includes 50 stocks. the weekly returns are approximately normally distributed, and the sample mean and sample variance are 1.2% and 0.00175. a 90% confidence interval for a weekly return is closest to: Line f has a slope of 8 Line g is parallel to line f. What is the slope of line g?Simplify your answer and write it as a proper fraction, improper fraction, or integer. The fish in a hatchery tank have mean length = 9.7 inches, with standard deviation = 1.2 inches. If a random sample of 40 fish is taken from the tank, what is the probability that their average length is less than 10 inches? Family A thinks family B is not entitled to a portion of the land because they are not the biological children of the ancestor whose land is in disputes. But family disagrees because they think they were adopted by the ancestor and therefore her children also. A) diagnoses the nature of the family dispute, is it verbal or substantive?b) identifies the source of disagreement?c) outline your approaches to bringing peace between the two groups 6. if 12,500 units are produced and sold, what is the total amount of variable costs related to the units produced and sold? (do not round intermediate calculations.) based on the information from the periodic table, which mistake did darrell make on his diagram? a nitrogen should have six electrons instead of seven. b nitrogen should have eight protons instead of six. c nitrogen should have seven protons instead of six. d nitrogen should have eight electrons instead of seven. if the elasticity of demand for cigarettes is 0.4, a seller should multiple choice increase price to increase total revenue. decrease price to increase total revenue. increase price because the percentage change in quantity demanded will be greater than the price effect. reduce price to maximize profits. ______ laws are made to protect the public as a whole from the harmful acts of others. You are fixing the roof of your house when a hammer breaks loose and slides down. The roof makes an angle of 45 with the horizontal, and the hammer is moving at 4.5 m/s when it reaches the edge. Assume that the hammer is moving from the top of the roof to its right edge.1. What is the vertical component of the hammer's velocity just as it leaves the roof? "If the individual is healthy, the family is healthy, if the family is healthy, the society is healthy If the society is healthy, the country becomes prosperous. Confirm this statement. How does the societys official war connect to Montags journey? What happens to the chromosomes in late telophase what was the middle passage? a. it was the voyage across the pacific ocean. b. it was the second leg of the trans-atlantic trade. c. it was the voyage of indentured servants. d. it was the journey from east africa to west africa. e. it was the third leg of the circular trade route.