Which graph shows the image of ABC after a rotation about the origin

Which Graph Shows The Image Of ABC After A Rotation About The Origin

Answers

Answer 1

Answer:

I would say C. Because it shows ABC, and all the others are either upside down or lopsided. I hope it was correct for you


Related Questions

Probability problem pls help me

Answers

What’s the problem? It doesn’t say anything.

Where is the question?

a group of students was to clean up to two areas in their school. area a was 1 1 2 times of area b. in the morning (half of a day), the number of students cleaning area a was 3 times that of the number of students in area b. in the afternoon (another half of a day), 7 12 of the students worked in area a while the rest of them in area b. at the end of the day, area a was done, but area b still needed 4 students to work one more day before it was done. how many were there in this group of students?

Answers

the total number of students in the group is (5/17)12B. We don't have a specific value for B, so we can't give a specific answer for the number of students,

How to solve the problem?

Let's use the following variables to represent the unknowns in the problem:

Let A be the area of area A

Let B be the area of area B

Let x be the number of students working in area B in the morning

Let 3x be the number of students working in area A in the morning

Let y be the total number of students in the group

From the problem statement, we know that A = 1.5B (since area A is 1.5 times area B). We also know that in the morning, the number of students working in area A is 3 times the number of students working in area B. This can be expressed as:

3x = y/2 (since half of the students work in the morning)

In the afternoon, 7/12 of the students work in area A, so the number of students working in area B is:

(1-7/12)y = 5/12y

At the end of the day, area A is done and area B still needs 4 more students to work for another day. This means that the amount of work done by the students in area B is (y/2 - 3x) + (5/12y - 4B) = B, since the total work needed to be done in area B is B and the amount of work done by the students in area A is y/2 - 3x.

Substituting A = 1.5B and 3x = y/2, we can solve for y:

(y/2 - 3x) + (5/12y - 4B) = B

y/2 - 3(y/2)/3 + 5/12y - 4B = B

y/2 - y/2 + 5/12y = 5B

17/12y = 5B

y = (5/17)12B

Therefore, the total number of students in the group is (5/17)12B. We don't have a specific value for B, so we can't give a specific answer for the number of students, but we can say that the number of students is proportional to the area of area B. If we know the area of area B, we can use the equation above to find the total number of students in the group.

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The hypotenuse of a right triangle measures 13 cm and one of its legs measures 12 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Answer:

5 cm

Step-by-step explanation:

Given two sides of a right triangle, we can find the other side using the Pythagorean theorem, which is

[tex]a^2+b^2=c^2[/tex], where a and b are any of the two legs (e.g., you can set 12 can be a or b) and c is the hypotenuse.

If we allow 12 to b a and 13 to be c, we can solve for b, which is the measure of the other side:

[tex]12^2+b^2=13^2\\144+b^2=169\\b^2=25\\b=5\\b=-5[/tex]

When taking the square root of a number, you always get a negative number and a positive number, since squaring a negative gives a positive answer (e.g. 5^2 = 25 and (-5)^2 = 25).  However, because you can't have a negative answer, the answer is simply b = 5 cm

We can even check our answer by making sure that the sum of the square of the two legs equals the square of the hypotenuse:

[tex]12^2+5^2=13^2\\144+25=169\\169=169[/tex]

sqrt y^6 where y is greater than or equal to 0

Answers

Simplifying the expression √y⁶ for y is y³

Simplifying the expression for y

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

sqrt y^6

Rewrite the expression using numbers and mathematical symbol

So, we have

√y⁶

Take the square root of both sides

So, we have

√y⁶ =  y³

Hence, the solution to the expression √y⁶ is  y³

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Find the area of parallelogram WXYZ. Round your answer to the nearest tenth if
necessary.
21 in
18 in
21 in
23.2 in
23.2 in

Answers

Answer:

area of parallelogram=

base x height

21 in x 18 in

378 in

rounded to nearest ten

380 inches square.

The accompanying data represent women's median earnings as a percentage of men's median earnings for recent years beginning with 1989. Is there a trend? How does it appear to affect women? Construct a time-series graph. Median Earnings Year Median Earnings 1989 1990 1991 1992 1993 1994 1995 1996 1997 59.2 60.1 62.3 61.7 62.5 61.7 61.7 65.0 67.0 Year 1998 1999 2000 2001 2002 2003 2004 2005 Median Earnings 65.6 62.9 63.3 61.5 65.2 63.9 66.7 68.8 Full data set 0 www X C. Median Earnings 70- 64- 584 1989 1997 Year 2005 Clear all Final check​

Answers

Time Series Graph: Plot A

Based on the above plot, earnings first rise till 1997, and then start falling till 2001. After 2001, earnings start rising again. So overall there is an upward trend.

Why is option A the answer?

Based on these observations, the answer is Option A, which says:

Option A: There is a general upward trend though there have benn some down years. An upward trend would be helpful to women so that their earnings become equal to those of men.

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If your claim is in the alternative hypothesis and you reject the null hypothesis, then your conclusion would be:
O The sample data support the original claim
O There is sufficient evidence to warrant rejection of the original claim
O There is not sufficient evidence to warrant rejection of the original claim
O There is not sufficient sample evidence to support the original claim

Answers

The value of your conclusion would be:

⇒ There is sufficient evidence to warrant rejection of the original claim

We have to given that;

For your claim is in the alternative hypothesis and you reject the null hypothesis.

Hence, We know that;

If your claim is in the alternative hypothesis and you reject the null hypothesis, There is sufficient evidence to warrant rejection of the original claim

Thus, The correct option is, B.

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Show that each equation is true. ( 1 - 3 )

Find the exact value of x. ( 4 - 6 )

Answers

The lengths of x of the right angle triangle using pythagoras theorem are:

x = 5

x = 3

x = 10

How to use Pythagoras Theorem?

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle.

The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

4) Applying Pythagoras theorem, we can find x as:

x = √(13² - 12²)

x = √(169 - 144)

x = √25

x = 5

5) Applying Pythagoras theorem, we can find x as:

x = √(5² - 4²)

x = √9

x = 3

6) Applying Pythagoras theorem, we can find x as:

x = √(8² - 6²)

x = √100

x = 10

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help help help help


A kite flying in the air has a 75-foot string attached to it, and the string is pulled taut. The angle of elevation of the kite is 41 degrees. Find the height of the kite. Round your answer to the nearest tenth.

Answers

The height of the kite is 49.2 foot.

We have,

A kite is flying in the air has a 41 ft string attached to it.

The angle of elevation of the kite is 47 degrees.

Using Trigonometry

sin 41 = P/H

sin 41 = P/ 75

0.6560 = P / 75

P = 49.2 foot

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If the difference of two numbers is less than the sum of the numbers, which of the following must be true.

F. Neither number is positive
G. At least one of the number is positive
H. Exactly one of the number is positive
J. Both numbers are positive
K. None of these statement must be true

Answers

True, option (G) is which is - at least one of the numbers is positive.

Define term positive integer number?

A positive integer is a whole number greater than zero, i.e., any number that can be expressed without fractions or decimals, and is greater than zero.

If the difference of two numbers is less than the sum of the numbers, it is always true that at least one of the numbers is positive. As a result, "At least one of the numbers is positive" is the response, which is (G).

Here we assume that x and y are two numbers. The difference between the two numbers is |x - y|, which is always positive.

Now, according to the given condition:

|x - y| < x + y

Simplifying this inequality, we get:

-x + y < x + y

2y > 0

Dividing both sides by 2, we get:

y > 0

Therefore, we can conclude that at least one of the numbers (y) is positive. Note that it is possible for both numbers to be positive or for one number to be positive and the other to be zero.

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matrix A = 2 -7 matrix B = -9 5
6 1 1 -1

If X - A = B, what is X?

Answers

To find X, we need to add A to both sides of the equation X - A = B:

X - A + A = B + A

Simplifying the left side, we get:

X = B + A

To add two matrices, we add their corresponding elements. Thus:

X = [-9+2, 5-7; 6+1, 1-1]

X = [-7, -2; 7, 0]

Therefore, X is the matrix [-7, -2; 7, 0].

Lisa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55 and costs an additional $0.13 per mile driven. The second plan has an initial fee of $48 and costs an additional $0.15 per mile driven.
For what amount of driving do the two plans cost the same?
What is the cost when the two planes cost the same?

Answers

Answer:

Step-by-step explanation:

To find the point at which the two plans cost the same, we can set their total costs equal to each other:

55 + 0.13x = 48 + 0.15x

Simplifying and solving for x, we get:

0.02x = 7

x = 350

Therefore, the plans will cost the same when Lisa drives 350 miles.

To find the cost at this point, we can substitute x=350 into either equation. Let's use the first plan:

Total cost = 55 + 0.13(350) = $97.50

Therefore, if Lisa drives 350 miles, the cost for either plan will be $97.50.

Write an expression in factored form for the polynomial of least possible degree graphed below.

Answers

An expression in factored form for the polynomial of least possible degree is y(x) = (x-2)(x+2).

What is polynomial?

Polynomials can be represented in various forms, including standard form, factored form, and expanded form. Standard form is where the polynomial is written with the terms in descending order of degree, with coefficients in front of each term. Factored form is where the polynomial is written as a product of linear factors, and expanded form is where the polynomial is written out in full, with all the terms multiplied together.

A polynomial is a mathematical expression consisting of variables and coefficients, which are combined using addition, subtraction, and multiplication operations. The variables are raised to non-negative integer powers, and the highest power of the variable is called the degree of the polynomial.

For example, the polynomial 2x³ + 3x³ - 4x + 1 has degree 3, as the highest power of x is 3. The coefficients in this polynomial are 2, 3, -4, and 1.

Here, the curve touch two points (-2,0) and (2,0).

So, we can say (-2) and 2 are the root of the polynomial.

We know of a and b are two root of any polynomial then the polynomial will be (x-a)(x-b).

So, the expression is y(x) = (x-2)(x+2).

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Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer.
DONE

Answers

The equation of this graphed line is equal to y = x/2 - 5.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

m represent the slope.x and y represent the points.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-1 + 5)/(8 - 0)

Slope (m) = 4/8

Slope (m) = 1/2.

At data point (0, -5) and a slope of 1/2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 1/2(x - 0)

y + 5 = x/2

y = x/2 - 5

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The cost that a recycling company charges is directly proportional to the number of recycling bins collected. The cost is $33 for each bin.

A: Write a direct variation equation to represent the cost.
B: How many bins can a customer pay the company to collect the bins for $500? Write and solve the equation.
C: Suppose the customer plans to tip the recycling company $30, how many bins can the customer get removed for $500 now? Write and solve the equation.

Answers

a) The direct variation equation is y = 33x.

b) The customer can pay the company to collect 15 bins.

c) The customer can get approximately 16 bins (rounded to the nearest whole number) removed for $500 with a $30 tip included.

A) The direct variation equation to represent the cost would be y = kx, where y represents the cost, x represents the number of bins collected, and k is the constant of proportionality. In this case, since the cost is $33 for each bin collected, the value of k is 33. Therefore, the direct variation equation is y = 33x.

B) To find the number of bins a customer can pay the company to collect for $500, we can set the cost (y) equal to $500 and solve for x (the number of bins). Thus, we have:

y = 33x

500 = 33x

x = 500/33

x ≈ 15.15

Therefore, the customer can pay the company to collect 15 bins (rounded to the nearest whole number) for $500.

C) If the customer plans to tip the recycling company $30, the total cost would be $500 + $30 = $530. We can set the cost (y) equal to $530 and solve for x:

y = 33x + 30

530 = 33x + 30

500 = 33x

x ≈ 15.91

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Triangle D has been dilated to create triangle D′. Use the image to answer the question. image of a triangle labeled D with side lengths of 6, 8, 10 and a second triangle labeled D prime with side lengths of 18, 24, 30 Determine the scale factor used. one half 2 3 one third

Answers

Dilating a shape will proportionately affect its side lengths.

To find the scale factor between the given triangles, take one side on the larger triangle and divide it by the corresponding side on the smaller triangle. I will divide the triangles' top sides (24 and 8).

[tex]\text{scale factor}=\dfrac{24}{8} =3[/tex]

So, the scale factor used was 3.

Answer: 3

Step-by-step explanation:

I took the quiz so you do not have to!

What is the solution to the system of equations graphed below?
3
2
68 x

Answers

The solution of the system of equations is given by the point of intersection of all the equations that compose the graph.

How to obtain the solution to the system of equations?

In this problem, the graph of the system of equations is given, hence we use it to obtain the solution.

The solution of the system of equations is given by the point of intersection of all the equations that compose the graph, that is, the point where all the curves cross each other.

The point of intersection represents the solution of the system of equations as it is the input values for which all the equations have the same output value.

Missing Information

The problem is incomplete, hence the procedure to obtain the solution of the system of equations from the graph is presented.

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Help please if you can.

Answers

Answer:

24/91

Step-by-step explanation:

We can see that the square on the right has a side length of 24 and the square on the left has a side length of 91.

The scale factor = square on right/square on left = 24/91

Probability problem pls help me

Answers

The probability that the number generated is:

1). 94 = 1/4, (2). even = 1/4, (3). odd = 0, (4). less than 32 = 1/25, and (5). greater than 74 = 1/25.

What is probability

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome = 10

probability of generating 94 = 5/10 × 5/10 = 1/4

probability of generating an even number = 5/10 × 5/10 = 1/4 {all numbers ending with 0,2,4,6, and 8 must be even}

probability of generating an odd number = 0 {since the second digit must be from 0,2,4,6, and 8, hence no odd number can be generated}

probability of generating less than 32 = 2/10 × 2/10 = 1/25 {since the first digit must either be 1 or 3, while the second digit must be either 0 or 2}

probability of generating greater than 72 = 2/10 × 2/10 = 1/25 {since the first digit must either be 7 or 9, while the second digit must be either 6 or 8}.

Therefore, the probability that the number generated is:

1). 94 = 1/4, (2). even = 1/4, (3). odd = 0, (4). less than 32 = 1/25, and (5). greater than 74 = 1/25.

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Given that a line has a slope of 1/2 and
its y-intercept is the point (0, 7), write
the equation of the line in slope-
intercept form, y = mx + b.

A. y= (1/2)x

B. 7 = (1/2)x+ 0

C. y= (1/2)x+ 7

D. y= 7x+ ½

Answers

The answer is C

Explanation:

The slope-intercept form of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept.

In this case, we are given that the slope of the line is 1/2, and the y-intercept is the point (0, 7). Therefore, we can substitute these values into the slope-intercept form to get:

y = (1/2)x + 7

So, the equation of the line in slope-intercept form is y = (1/2)x + 7.

What is the solution of log(f-3)-log(17-40)?
04
05
O 15
O 20

Answers

The solution of the given logarithm function log(f-3)-log(17-40) is

f < 3.

So no option is correct.

What is a logarithm function?

A logarithm function is a mathematical function that describes the relationship between a given number (called the argument or input) and a specified base. The logarithm of a number x with respect to a base b is the power to which b must be raised to give x.

In other words, if we have the equation y = log_b(x), then y represents the power to which the base b must be raised to get x. For example, if b=2, then log_2(8) = 3 because 2 raised to the power of 3 equals 8.

According to the given information

The given expression is:

log(f-3)-log(17-40)

We can simplify this expression using the property of logarithms:

log(a) - log(b) = log(a/b)

So, we get:

log((f-3)/(17-40))

Now, for this expression to have a real solution, the argument of the logarithm must be positive, so we have:

(f-3)/(17-40) > 0

Solving for f, we get:

f - 3 < 0 (since 17-40 is negative)

f < 3

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The sum of two numbers exceeds a third number by four. If the sum of the three numbers is at least 20 and 28,find any three intgral values satisfying the inequality .

Answers

Answer:

Let the three numbers be x, y, and z.

We are given that x + y = z + 4.

We are also given that x + y + z >= 20 and x + y + z <= 28.

Combining these two inequalities, we get:

z + 4 + z >= 20

2z >= 16

z >= 8

Since z is an integer, z can be 8, 9, 10, 11, 12, 13, 14, 15, 16, or 17.

For each value of z, we can find the corresponding values of x and y using the equation x + y = z + 4.

For example, if z = 8, then x + y = 12.

So, the three integral values satisfying the inequality are 8, 4, and 0.

Another example is z = 15.

In this case, x + y = 19.

So, the three integral values satisfying the inequality are 15, 2, and 2.

There are many other possible solutions.

What is 16 g as a fraction of 2 kg?
Give your answer in its simplest form.
00

Answers

Answer:  1/125 in it's simplest form

Step-by-step explanation:

2.2.3 quiz: angle theorems what is the value of y? OA.50

Answers

its c please mark me as a brainliest

Jeremiah needed dog food for his new puppy. He compared the prices and sizes of three types of dog food.


Canine Cakes Bark Bits Woofy Waffles
Size (pounds) 30 40 28
Cost $54 $70 $42


Part A: Calculate the corresponding unit rate for each package. (9 points)

Part B: Determine the best buy using the unit rates found in Part A. Explain your answer.
------------------------------------------------------------------

The table shows the grading scale for Ms. Gray's social studies class.


A 90%–100%
B 80%–89%
C 70%–79%


Part A: Pick a number between 21 and 29. This number will represent how many points you earned. If you have a pop quiz worth a total of 30 points, using the number you selected, calculate the percentage you earned on the test. Show each step of your work. (8 points)

Part B: Based on the percentage found in Part A, would you earn a grade of A, B, or C using the grading scale provided? Explain your answer.

Answers

Answer:

see explanation

Step-by-step explanation:

Part A:

54$ for 30 pounds = 54/30 = 9/5 dollars per pound
70$ for 40 pounds = 70/40 = 7/4 dollars per pound
42$ for 28 pounds = 42/28 = 3/2 dollars per pound

Part B:
3/2 = 1.5 ($/lb)
7/4 = 1.75 ($/lb)
9/5= 1.8 ($/lb)

The best buy is Woofy Waffles for 1.5 $ per pound

Tom and Philip were given the graph of a linear function and asked to find the slope. Tom says that the slope is 12 while Philip says that the slope is 2.

Which reason correctly justifies Tom's answer?

Answers

Answer

Since there is no graph or equation I can only tell you Tom and Philip need to use rise over run to find slope on a graph.

If they have points on the graph or points on a table, they can use slope formula

y2 - y1 over x2 - x1

trell is working in a lab testing bacteria populations. After starting out with a population of 404 bacteria, he observes the change in population and notices that the The population doubles every 36 minutes. tep 1 of 2: Find the equation for the population P in terms of time t in minutes. ​

Answers

We can actually see here that the equation for the population P in terms of time t in minutes will be: P = 404 × 2^(t/36).

How we arrived at the solution?

We can see here that looking at the change in population, we can use the following:

P = P₀ × 2^(t/Δt).

Where:

P₀ = initial population = 404 bacterias

t = time elapsed (in minutes).

Δt = time it takes for the population to double (36 minutes).

Thus, we see that substituting this, we have:

P = 404 × 2^(t/36).

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Given the functions f(x)=1x+2 and g(x)=x2−2x, what is the domain of the composition (f∘g)(x)?
Responses

x≠−2 and x≠0
x is not equal to negative 2, and , x is not equal to 0

x≠0
x is not equal to 0

all real numbers
all real numbers

x≠−2
x is not equal to negative 2

Answers

Considering both functions, there are no restrictions or exclusions for any real number values in the domain. Therefore, the domain of the composition (f∘g)(x) is all real numbers.

To determine the domain of the composition (f∘g)(x), we need to consider the domains of both functions f(x) and g(x) and determine any restrictions.

The function f(x) =[tex]1x + 2[/tex] does not have any explicit restrictions on its domain. It is defined for all real numbers.

The function g(x) = [tex]x^2 - 2x[/tex] is a quadratic function. Quadratic functions are defined for all real numbers, so there are no restrictions on the domain of g(x).

When we compose functions, we need to ensure that the output of the inner function is within the domain of the outer function. In this case, the composition (f∘g)(x) means we substitute g(x) into f(x), resulting in f(g(x)).

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can someone help please it’s due at 12

Answers

angle 1 = 180 - 74 the angle on a straight line is given as 180

= 106 degrees

What are alternate angles?

Alternate angles are a pair of angles formed by a transversal intersecting two parallel lines. These angles are located on opposite sides of the transversal and on opposite sides of the parallel lines.

The alternate angles are congruent, which means they have the same measure or degree. In other words, if one alternate angle measures x degrees, then its corresponding alternate angle will also measure x degrees.

angle 2 = angle 1

They are vertical angles hence they are equal

angle 3 = 74 degrees

They are  vertical angles as well

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Sonic Corporation purchased and installed electronic payment equipment at its drive-in restaurants in San Marcos, TX, at a cost of $37,800. The equipment has an estimated residual value of $2,400. The equipment is expected to process 261,000 payments over its three-year useful life. Per year, expected payment transactions are 62,640, year 1; 143,550, year 2; and 54,810, year 3.

Complete a depreciation schedule for each of the alternative methods.
1. Straight-line.
2. Units-of-production.
3. Double-declining-balance.

Answers

Annual depreciation = ($37,800 - $2,400) / 3 years = $11,800 per year

Depreciation per unit = ($37,800 - $2,400) / 261,000 = $0.139 per unit

Depreciation rate = 2 / 3 = 0.667 or 66.7%

Complete a depreciation schedule for each of the alternative methods.

Method of the straight line:

Annual depreciation = (Cost - Residual value) / Useful life

Annual depreciation = ($37,800 - $2,400) / 3 years = $11,800 per year

Schedule of depreciation: shown in the below table

Units-of-production method:

Depreciation per unit = (Cost - Residual value) / Total units of production

Depreciation per unit = ($37,800 - $2,400) / 261,000 = $0.139 per unit

Depreciation schedule:

Double-declining-balance method:

Depreciation rate = 2 / Useful life

Depreciation rate = 2 / 3 = 0.667 or 66.7%

Depreciation schedule: shown in the below table

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what term describes the combination of factors particular to a time and place that have an effect on current consumer behavior but do not follow from a knowledge of the stable attributes of a consumer and a stimulus? For each pair of triangles below, decide whether the triangles are similar and/or congruent. Justify each conclusion. Show all work. 1. What cost consideration would you take into account when revising this part of your compensation plan?-2. What other consideration would you take into account when developing a new PTO plan?3. Propose a new plan and estimate the cost of your plan on an Excel spreadsheet. Be prepared to present to the board of directors. who did Socrates challenged for their lack of concern with ethical behavior? Explain why some might object to the genetically modified papaya and offer an argument that might cause them to reconsider.Explain why some might object to the genetically modified papaya and offer an argument that might cause them to reconsider. Two students evaluate the expression 17(4 +15)Student A evaluated the expression by adding the product of 17 nd 4 to the product of 17 nd 15.Student B evaluates the expression by determining the product of 17 nd 19 Is each students evaluation correct or incorrect? I DPNT GET IR A dental x-ray typically affects 185 g of tissue and delivers about 4.15 J of energy using x-rays that have wavelengths of 0.0305 nm. What is the energy (in electron volts) of a single photon of these x-rays? How many photons are absorbed during the dental x-ray? Using the critial path method, the Early Start of a task is the Early Finish of the task preceding it.a) Trueb) False the common lymphoid progenitor (clp) is produced in the bone marrow, while the common myeloid progenitor (cmp) is produced in the thymus. group of answer choicestrue false A 0.115 M solution of a weak acid (HA) has a pH of 3.32. Calculate the acid ionization constant (Ka) for the acid. Question 10 (1 point)Salma follows models on social media who seem to always look amazing and havesuch fabulous, carefree lives. Salma wishes she could be like them and float throughlive with ease. Salma's brother Khalid thinks Salma's opinion of these models isunrealistic. What is the BEST comment Khalid could make to Salma about this?O "Models actually have amazingly hard lives.""These models are probably selfish and vain people.""You don't need to be like those models to be happy.""Those models actually aren't that attractive." determine whether each salt will form a solution that is acidic, basic, or ph neutral. ka of hio is 2.3 1011. kb of c5h5n is 1.7 109 Question: Suppose X and Y are complements and demand for X is Qx d = a0+ aXPX + aYPY + aMM + aHH. Then we know A) aM < 0. B) aH > 0. C) aY < 0. D) aX > 0. 1. Discuss the creation of a process from the point of view of ADDRESS SPACE.2. What is the name of the system call (command) that can overwrite the default address? Where does Schaefer believe that a company's or brand's social content should eventually direct customers? And why? find the general solution of the given system. x' = 10 20 8 18 x x(t) = The sojourner rover vehicle was used to explore the surface of marsas part of the pathfinder mission in 1997. Use the data inthe tables below to answer the questions that follow.MarsData Sojourner DataRadius: 0.53 x earth'sradius Mass of Sojourner vehicle: 11.5kgMass: 0.11 x earth'smass Wheel Diameter: 0.13mStored Energy Available: 5.4 x105 JPower required for driving under average conditions: 10 WLand speed: 6.7 x 10-3m/sa)Determine the acceleration due to gravity at the surface of Marsin terms of g, the acceleration due to gravity at the surface ofEarth.b) Calculate the Sojourner's weight on the surface of Mars.c)Assume that when leaving the Pathfinder Spacecraft Sojournerrolls down a ramp inclined at 20 degrees to the horizontal. The ramp must be lightweight but strong enough to supportSojourner. Calculate the minimum normal force that must bsupplied by the ramp.d)What is the net force on the Sojourner as it travels across theMartian surface at a constant Velocity? Justify youranswer.e)Determine the maximum distance that sojourner can travel on ahorizontal Martian Surface using its stored energy.f)Suppose that 0.010% of the power for driving is expended againstatmospheric drag as Sojourner travels on the Martian surface. Calculate the magnitude of the Drag force. What conditions must be satisfied by b1, b2, b3, b4, and b5 for the over determined linear system to be consistent?x1 - 4x2 = b1x1 - 3x2 = b2x1 + x2 = b3x1 - 5x2 = b4x1 + 6x2 = b5 Which lineages of vertebrates are aquatic and which are terrestrial (live octand)? __ray-finned fish __lobe-finned fish ___ mammals ___ amphibians ____ reptiles 1. aquatic 2. terrestrial 3. both: but at different stages of their life Based on the data above, which region of the world struggled the most economically in the last two decades of the twentieth century? East Asia Eastern Europe and Central Asia Middle East and North Africa Sub-Saharan Africa