A parallelogram has coordinates A(1,1), B(5,4), C(7,1), and D(3,-2) what are the coordinates of parallelogram A’BCD after 180 degree rotation about the origin and a translation 5 units to the right and 1 unit down ?

Answers

Answer 1

Answer:

The coordinates are  (4 , -2) , (0 , -5) , (-2 , -2) , (2 , 1)

Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) rotated about the origin by angle 180°

 ∴ Its image is (-x , -y)

- If the point (x , y) translated horizontally to the right by h units

 ∴ Its image is (x + h , y)

- If the point (x , y) translated horizontally to the left by h units

 ∴ Its image is (x - h , y)

- If the point (x , y) translated vertically up by k units

 ∴ Its image is (x , y + k)

- If the point (x , y) translated vertically down by k units

 ∴ Its image is (x , y - k)

* Now lets solve the problem

∵ ABCD is a parallelogram

∵ Its vertices are A (1 , 1) , B (5 , 4) , C (7 , 1) , D (3 , -2)

∵ The parallelogram rotates about the origin by 180°

∵ The image of the point (x , y) after rotation 180° about the origin

   is (-x , -y)

∴ The images of the vertices of the parallelograms are

  (-1 , -1) , (-5 , -4) , (-7 , -1) , (-3 , 2)

∵ The parallelogram translate after the rotation 5 units to the right

   and 1 unit down

∴ We will add each x-coordinates by 5 and subtract each

   y-coordinates by 1

∴ A' = (-1 + 5 , -1 - 1) = (4 , -2)

∴ B' = (-5 + 5 , -4 - 1) = (0 , -5)

∴ C' = (-7 + 5 , -1 - 1) = (-2 , -2)

∴ D' = (-3 + 5 , 2 - 1) = (2 , 1)

* The coordinates of the parallelograms A'B'C'D' are:

  (4 , -2) , (0 , -5) , (-2 , -2) , (2 , 1)


Related Questions

A box can hold 24 crayons. How many boxes must be used to put all of Mr.Syed's 98 crayons into boxes?

Answers

Answer:

5 boxes

Step-by-step explanation:

Given:

Total crayons : 98

Capacity of each box : 24

Number of boxes of 24 crayons needed to hold 98 crayons,

= 98 ÷ 24

= 4.08 boxes.

However since we cannot have 0.08 of a box, we must round this up to the next larger whole number of boxes.

4.08 rounded up to next whole number = 5

Hence he will need 5 boxes to hold all 98 crayons

5. Divide 98 by 24 and you’ll get 4.08. Since you need to put all of them into boxes, you have to round that up to the next whole number.
98/24= 4 r2
So it’s be four full boxes and one with two and four plus one is five

Complete the table for the given rule y=6x-4

Answers

Answer:

1 = 2

3 = 14

10 = 56

Step-by-step explanation:

y = 6x - 4

y = 6 - 4

y = 18 - 4

y = 60 - 4

Step-by-step explanation:

In first there is 2

ln second there is 14

ln third there is 56

I hope this is right answer!

Match the expression with its name.
10x2 – 5x + 10

quadratic trinomial

cubic monomial

not a polynomial

fourth-degree binomial

Answers

Answer:

[tex]\large\boxed{10x^2-5x+10\ -\ \bold{quadratic\ trinomial}}[/tex]

Step-by-step explanation:

[tex]\text{quadratic trinomial}\ -\ ax^2+bx+c\\\\\text{cubic monomial}\ -\ ax^3\\\\\text{not a polynomial}\ -\ \dfrac{a}{x}\\\\\text{fourth-degree binomial}\ -\ ax^4+bx[/tex]

[tex]10x^2-5x+10\\\\\text{the highest power of variable (x) is 2}\to \boxed{x^2}\ \to\ \bold{quadratic}\\\\\text{polynomial has 3 terms}\ \to\ \boxed{10x^2,\ -5x,\ 10}\ \to\ \bold{trinomial}[/tex]


Evaluate the following expression when x = 5 and z = 3.
z
-
3x=​

Answers

Answer:-12

Step-by-step explanation:

Z-3x=

=3-3(5)

=3-15

=-12

Answer:

-12

Step-by-step explanation:

3 - 3(5)

3 -15 = -12

the answer to the question

Complete the table for the given rule. Rule: y=X/4(fraction)
Table
X Y
4
2
9
What would X be i am really confused here does the fraction mean divide the numbers or something else

Answers

The complete table of values for the equation y = x/4 is

x   4   2  9

y  1   1/2  9/4

Completing the table of values for the equation

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

y = x/4

The missing y values are at x = 4, 2 and x = 9

Substitute the known values in the above equation, so, we have the following representation

y = 1/4 * 4 = 1

y = 1/4 * 2 = 1/2

y = 1/4 * 9 = 9/4

So, the missing values are 1, 1/2 and 9/4

Read more about linear relation at

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Final answer:

The rule 'y = X/4' describes division of X by 4 to find Y. The student completes the table by dividing each X value by 4 to find the corresponding Y values, providing an organized data set.

Explanation:

The student is asking about the operation indicated by the rule y = X/4, which involves division. The fraction bar signifies division. Given this rule, we can complete the table for y when x-values are provided.

For x = 4: y = 4/4 = 1

For x = 2: y = 2/4 = 0.5

For x = 9: y = 9/4 = 2.25

To organize the data in the table, you simply divide the x-value by 4 to find the corresponding y-value.

Which expression is equivalent to (5x^5)(4x)^3​

Answers

Answer:

5x. 5x. 5x. 5x. 5x. 4x. 4x. 4x

Step-by-step explanation:

Just seperate all of the numbers out. Because 5x is raised to the fifth it is being multiplied by itself 5 times, the same goes for 4.

The following table shows a portion of a three-year amortization schedule.

Use the information in the table to decide which of the following statements is true.
a.
The payment amount changes each month.
b.
The amount applied to the principal is decreasing each month.
c.
The amount applied to the principal is increasing each month.
d.
The amount applied to interest is increasing each month.

Answers

Answer:

Option C is correct.

Step-by-step explanation:

If we look at the table,

The amount of Principal of Month 13 is $325.82

The amount of Principal of Month 14 is $328.19

The amount of Principal of Month 15 is $330.57

So, the amount of principal is increasing every month.

Rest of the options seems incorrect.

So, Option C The amount applied to the principal is increasing each month.

is correct.

Answer:

The answer is C

Step-by-step explanation:

I got the right answer on the test in e2020

19. x² + x = 6
the graf
Factors:
Solution(s):

Answers

For this case we must factor the following equation:

[tex]x ^ 2 + x-6 = 0[/tex]

We must find two numbers that, when multiplied, obtain -6 and when summed, obtain +1. These numbers are: +3 and -2

So, we have to:

[tex](x + 3) (x-2) = 0[/tex]

The roots are:

[tex]x_ {1} = - 3\\x_ {2} = 2[/tex]

ANswer:

[tex](x + 3) (x-2) = 0[/tex]

write three equivalent fractions for 60.1% with denominators of 1,000, 100, and 10​

Answers

Final answer:

Three equivalent fractions for 60.1% with different denominators are found by converting the percent to a decimal and then to the requested fractions. The fractions are 601/1,000 (simplest form), 60.1/100 simplifies to 601/1,000, and 6.01/10 simplifies to 601/1,000.

Explanation:

To write three equivalent fractions for 60.1% with denominators of 1,000, 100, and 10, we first convert the percent to a decimal by dividing by 100. So, 60.1% becomes 0.601. This decimal can then be written as a fraction with the various denominators.

With a denominator of 1,000: 0.601 × 1,000/1,000 = 601/1,000

With a denominator of 100: 0.601 × 100/100 = 60.1/100 which simplifies to 601/1,000

With a denominator of 10: 0.601 × 10/10 = 6.01/10 which simplifies to 601/1,000

Note that 601/1,000 is the simplest form for the fraction equivalent of 60.1%. When we adjust for the different denominators, we always arrive back at the equivalent fraction of 601/1,000 because it is the simplest form.

What equation is the inverse of y=x^2+16

Answers

Answer:

[tex]y = \sqrt{x - 16} [/tex]

Step-by-step explanation:

[tex]y = {x}^{2} + 16[/tex]

[tex]x = {y}^{2} + 16[/tex]

[tex]x - 16 = {y}^{2} [/tex]

[tex] \sqrt{x - 16} = y[/tex]

Answer:

f^-1 (x) = ±sqrt(x-16)

Step-by-step explanation:

To find the inverse of a function, exchange x and y and solve for y

y=x^2+16

Exchange x and y

x = y^2 +16

Then solve for y

Subtract 16 from each side

x-16 = y^2 +16-16

x-16 = y^2

Take the square root of each side

±sqrt(x-16) = sqrt(y^2)

±sqrt(x-16) = y

The inverse

f^-1 (x) = ±sqrt(x-16)

What value of b will cause the system to have an infinite
number of solutions?
у= 6x –b
—3х + 1/2y=-3

a) 2
b) 4
c)6
d)8

Answers

Answer:

Option C) b=6

Step-by-step explanation:

we know that

If two linear equations of a system of equations have an infinite of solutions, then both equations are identical

we have

[tex]y=6x-b[/tex] -----> equation A

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

Multiply by 2 both sides

[tex]-6x+y=-6[/tex]

Adds 6x both sides

[tex]y=6x-6[/tex] ------> equation B

equate equation A and equation B

[tex]6x-b=6x-6[/tex]

solve for b

[tex]b=6[/tex]

On Monday there were 92 fish in the
fish tank. On Tuesday 4 fish were
sold, on Wednesday 1 fish was sold,
on Thursday 4 fish were added to the
tank, and on Friday 3 fish were sold.
How many fish were in the fish tank
at the end of the week?

Answers

Answer:

35

Step-by-step explanation:

92-5+4-3=35

convert -3 degree to farenheit ​

Answers

Answer:

26.6 degrees

Step-by-step explanation:

Use the converting formula:

(-3°C × 9/5) + 32 = 26.6°F

-3 degrees to Fahrenheit would be 26.6

The formula is attached in the image below

-3 × 1.8 = -5.4

-5.4 + 32 = 26.6

How many x-intercepts does the graph of y = 2x2 + 5x + 9 have?

Answers

Answer:

The graph of y = 2x² + 5x + 9 has zero x-intercepts.

Step-by-step explanation:

x-intercepts are for y = 0.

Put y = 0 to the equation y = 2x² + 5x + 9:

2x² + 5x + 9 = 0

Calculate the discriminant of quadratic equation ax² + bx + c = 0:

Δ = b² - 4ac

if Δ < 0, then an equation has no solution

if Δ = 0, then an equation has one solution

if Δ > 0, then an equation has two solution.

2x² + 5x + 9 = 0

a = 2, b = 5, c = 9

Δ = 5² - 4(2)(9) = 25 - 72 = -47 < 0 - no solution

There are zero x- intercepts of given function.

X- Intercepts:

To find x- intercepts, substitute [tex]y=0[/tex] in the function.

Given function is,  [tex]y=2x^{2} +5x+9[/tex]

Substitute [tex]y=0[/tex] in above equation.

              [tex]2x^{2} +5x+9=0\\\\[/tex]

The graph of function where crosses the x- axis that point is known as x- intercepts of function.

Graph of given function attached below, It is observed that graph will not crosses the x axis at any point.

Thus, There are zero x- intercepts of given function.

Learn more about the intercepts of function here:

https://brainly.com/question/26233

Event v occurs 28% of the time on Tuesdays.
and event v and event w occur together 19%
of the time on Tuesdays. Given that event v
occurs on a Tuesday, what is the probability
that event w occurs with event v?
A. 47%
B. 58%
C. 68%
D. 75%​

Answers

Answer:

68%

Step-by-step explanation:

Probability of occurrence of Event v = P(v) = 28% = 0.28

Probability of occurrence of both Events v and Event w together = P(v and w) = 19% = 0.19

We have to find what is the probability  that event w occurs with event v given that event v  occurs on a Tuesday. This is a conditional probability. In other words we have to find what is the probability of event w given that event v occurs of Tuesday. i.e we have to find P(w|v)

The formula to calculate this conditional probability is:

[tex]P(w|v) = \frac{P(v \cap w)}{P(v)}[/tex]

Using the given values, we get:

[tex]P(w|v) = \frac{0.19}{0.28}\\\\ P(w|v) = 0.68\\\\ P(w|v) = 68\%[/tex]

Therefore, the probability that even w will occur with event v given that event v occurs on Tuesday is 68%

Solve the following literal equation for x then for y
8x+5y=10

Answers

Answer:

see explanation

Step-by-step explanation:

Given

8x + 5y = 10 ← solve for x by subtracting 5y from both sides

8x = 10 - 5y ( divide both sides by 8 )

x = [tex]\frac{10-5y}{8}[/tex]

------------------------------------------------------------

Solve for y by subtracting 8x from both sides

5y = 10 - 8x ( divide both sides by 5 )

y = [tex]\frac{10-8x}{5}[/tex]

The student council is selling sweatshirts with the school name and enim...
shirts come in three different colors, two different styles and three different sizes.
How many different types of sweatshirts are available?

Answers

In order to find all the types of sweatshirts, we simply have to multiply all the numbers by all the factors.

3 colors * 2 different styles * 3 different sizes = 18 different types of sweatshirts

The total of 18 different types of sweatshirts are available if shirts come in three different colours, two different styles and three different sizes.

What is permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

The student council is selling sweatshirts with the school name and shirts come in three different colours, two different styles and three different sizes.

Total number of different sweatshirts = 3×2×3

= 18

Thus, the total of 18 different types of sweatshirts are available if shirts come in three different colours, two different styles and three different sizes.

Learn more about permutation and combination here:

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The function whose graph is shown below has the following characteristics.

•Two relative minima

•Two relative maxima

○True
○False​

Answers

True true true true true true tr

Answer with explanation:

A function is said to attain maximum in the interval , if you consider any two points on the curve suppose (a,b) and (c,d)

if , c>a

Then , f(d) > f(a).

A function is said to attain minimum in the interval,

if ,c>a

Then,f(d)< f(a).

A function can have more than one relative Maximum and more than one relative Minimum.

The function whose graph is given here has following Characteristics

    •Two relative minima

     •Two relative maxima

is True .

Factor completely x3 + 4x2 + 8x + 32. (x + 4)(x2 + 8) (x − 4)(x2 − 8) (x − 4)(x2 + 8) (x + 4)(x2 − 8)

Answers

[tex]\tt x^3+4x^2+8x+32\\\\=x^2(x+4)+8(x+4)\\\\=\boxed{\tt(x+4)(x^2+8)}[/tex]

Answer:

(x+4)(x^2+8)

Step-by-step explanation:

x^3 + 4x^2 + 8x + 32

We will factor by grouping

Factor out an x^2 from the first two terms and an 8 from the last two terms

x^2 (x+4) + 8(x+4)

Now we can factor out an (x+4)

(x+4)(x^2+8)

solve 2x^2 + 8 = 0 by graphing the related function

Answers

The solutions to the equation [tex]\( 2x^2 + 8 = 0 \)[/tex] are complex numbers [tex]\( x = 2i \) and \( x = -2i \), where \( i \)[/tex] is the imaginary unit.

The statement that the graph of [tex]\( 2x^2 + 8 = 0 \)[/tex] does not cross the x-axis is correct, as the graph of this equation represents a parabola that opens upwards and is centered above the x-axis, meaning it has no real roots.

To find the solutions for the equation [tex]\( 2x^2 + 8 = 0 \)[/tex], we can start by isolating [tex]\( x^2 \):[/tex]

[tex]\[ 2x^2 = -8 \][/tex]

Dividing both sides by 2:

[tex]\[ x^2 = -4 \][/tex]

Now, to solve for ( x ), we take the square root of both sides:

[tex]\[ x = \pm \sqrt{-4} \][/tex]

[tex]\[ x = \pm 2i \][/tex]

So, the solutions to the equation [tex]\( 2x^2 + 8 = 0 \)[/tex] are complex numbers [tex]\( x = 2i \) and \( x = -2i \), where \( i \)[/tex] is the imaginary unit.

These are the roots of the equation, even though they do not lie on the real number line.

Hence, while there are no real solutions, there are indeed complex solutions for the given function.

Which product is equivalent to 25x2 – 16?

Answers

Answer:

The correct answer would be 34

Step-by-step explanation:

When solving an expression, we would first solve the operator with the highest precedence. In mathematics, there are four basic operators. Addition, subtraction, multiplication and division. The precedence of Division and multiplication is higher than the precedence of Addition and subtraction. So by solving this with the precedence, we would first solve the multiplication operator which is 25 * 2, it will give 50, then we will subtract 16 from it like 50-16, which will give us 34.

Answer:

(5x+4)(5x-4)

Step-by-step explanation:

The product expression can be obtained by factorizing the expression 25x²-16 provided in the question.

The expression is a difference of two squares whose factors are generally

(a-b)(a+b)

√25x² is 5x

√16 is 4

Therefore the product required is (5x+4)(5x-4)

25x²-16 is equivalent to (5x+4)(5x-4)

Liliana wants to start a seventh-grade computer club at Hamden Middle School. She surveyed 20 seventh-grade students at the town park. She asked each student how many hours they spend on their computers each week. She obtained the following results.

8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21

What is the ratio of the total number of students who used their computers to the total number of students surveyed?
2/18 or 1/9
18/2 or 9/1
2/20 or 1/10
18/20 or 9/10

Answers

Answer:

18/20 or 9/10

Step-by-step explanation:

The list shows the amount of hours each student USED the computer.

Wherever we see a "0", that means he/she DID NOT USE computer.

There are 2 "zeroes", so 2 didnt use out of 20, so number of student who DID USE is 20 - 2 = 18

To find ratio of total number of students who used to the total number surveyed, it is going to be:

18/20 or 9/10

Answer:

Ratio would be 9 : 10

Step-by-step explanation:

Liliana surveyed 20 students that how many hours they spend on their computers each week.

The results are as follows

8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21

In the above results 2 students did not use computers out of 20 students.

Therefore, The total number of students who used their computers = 20 - 2 = 18

So the ratio would be 18 : 20 or 9 : 10

Evaluate x^2+3.5when x=1/2

Answers

Answer:

3.75.

Step-by-step explanation:

Substitute x = 1/2 into x^2 + 3.5:

(1/2)^2 + 3.5

= 1/4 + 3.5

= 3.75.

Answer:

3.75

Step-by-step explanation:

[tex]\text{Put the value of}\ x=\dfrac{1}{2}=0.5\ \text{to the expression}\ x^2+3.5:\\\\0.5^2+3.5=0.25+3.5=3.75[/tex]

If AB = 8, BC = 5, and CA = 7. list the angles of
AABC in order from smallest to largest measure.

Answers

Answer:

∠A, ∠B, ∠C

Step-by-step explanation:

In a triangle the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side, therefore:

∠A < ∠B < ∠C

Answer:

a,b,c

Step-by-step explanation:

The angle opposite the longest side has the largest angle measure, the angle opposite the shortest side has the most small angle measure etc.

Since BC is the shortest line, the angle opposite will have the smallest measure, this is ∠a.

CA is in the middle with length this means that the angle opposite of it will have an angle measure in between that of the other angle measures.  This is ∠b

AB has the longest length, therefore, the angle opposite it will have the largest measure, this is ∠c

Given the following coordinates complete the reflection transformation. A(−5,0) B(−3,3) C(−3,0) Transformation: Complete the double reflection over the lines x=−2 followed by x=1. A"( , ) B"( , ) C"( , )

Answers

Answer:

A''(1,-1) B''(3,2) C''(3,2)

Step-by-step explanation:

A(−5,0) B(−3,3) C(−3,0)

reflection over x=-2

Perpendicular distance between points y-coordinates of points (A, B and C) and y=-1 are 3,1 and 1

after reflections, the perpendicular distance will be 6,2,2, and the points will be at

A'(1,0) B'(−1,3) C'(−1,0)

again  reflection over x=1

Perpendicular distance between points y-coordinates of points (A', B' and C') and y=1 are 0,2,2

after reflections, the perpendicular distance will be 0,4,4 and the points will be at

A''(1,-1) B''(3,2) C''(3,2)!

Solve (x + 2<5) n (x-7>-6).
{x11 {x1x < 3 or x> 1)
{all real numbers)

Answers

For this case we must solve [tex]x + 2 <5[/tex]intersected with [tex]x-7> -6[/tex]

So, we have:

[tex]x + 2 <5\\x <5-2\\x <3[/tex]

The solutions are given by all strict minor numbers to 3.

[tex]x-7> -6\\x> -6 + 7\\x> 1[/tex]

The solutions are given by all the major strict numbers to 1.

If we intersect the solutions of both equations we have [tex]x <3[/tex] ∩ [tex]x> 1[/tex].

The intersection is given by [tex]1 <x <3[/tex]

Answer:

 The solution interval is (1,3)

PLEASE
The three sides of a triangle measure 6, 15, and n. What is the range of possible lengths of n?

6 < n < 15
6 < n < 21
9 < n < 21
9 < n < 15

Answers

Answer:

9 < n < 21

Step-by-step explanation:

15-6 < n < 15+6

9 < n<21

We are limited by the other two sides of the triangle

It can be no smaller than the other two sides subtracted and no larger than the other two sides added

plz help me plz plz plz

Answers

Answer:

195

Step-by-step explanation:

9 times 10 is 90 and 7 times 15 is 105  

so 105+90=195

Answer:

195 cm

Step-by-step explanation:

The area of ABCD is 195 cm.

Multiply the sides together:

9 ⋅ 10 = 90

7 ⋅ 15 = 105

Add them together:

105 + 90 = 195

Therefore, the area of ABCD is 195 cm.

Which numbers are real numbers ?

Select ALL correct answers.

Answers

Answer:

A, e, F

Step-by-step explanation:

What is the range of the given function?
{(-2, 0), (-4,-3), (2, -9), (0,5), (-5, 7)}
{x|x = -5, -4,-2, 0, 2)
{yly = -9, -3, 0,5,7)
{x|x= -9,-5, 4, -3, -2, 0,2 5,7}
{yly = -9, -5, -4 -3 -2,0, 2, 5, 7}

Answers

Step-by-step explanation:

range is all the y values

{y|y=-9, -3, 0, 5, 7}

The range of a function are all the ys included in the graph. In this case that would be:

(-2, 0), (-4,-3), (2, -9), (0,5), (-5, 7)

Remember to order it from least to greatest:

{yly = -9, -3, 0,5,7}

Hope this helped!

~Just a girl in love with Shawn Mendes

Other Questions
The NADH coenzyme enters the electron transport chain:A- anywhere in the chainB- for ATPaseC- through the membraneD- in the first dehydrogenase At which points are the equations y=x^2+3x+2 and y=2x+3 approximately equal? tyreese is using algebra tiles to solve the equation below 2x+5=-x+(-1) Find the axis of symmetry for this parabola:y = -x2 - 2x - 5Write your answer as an equation.Enter the correct answer. An equation is shown below: 2(4x 1) 7 = 5 Which statement shows a correct next step in solving the equation? The equation can become 2(4x 1) = 2 by applying the distributive property. The equation can become 2(4x 1) = 12 by applying the addition property of equality. The equation can become 2(4x 1) = 12 by applying the commutative property of addition The equation can become 2(4x 1) = 2 by applying the subtraction property of equality. President Truman decided not to run for reelection in1944.1948.1952.1956. Vehicle ownershipQuiz1.You'll be required to carry extra insurance coverage ifA youve been convicted of a DUIByou ve been convicted of a felonyC. you are the victim in a crashD. you are not a US citizenA current vehicle registration expires at_registration formof the first owner listed onA noon on the birthday A box of mass 8 kg slides across a frictionless surface at an initial speed 1.5 m/s into a relaxed spring of spring constant 69 N/m. How long is the box in contact with the spring before it bounces off in the opposite direction? If f(x) = 2x + 8 and g(x) = x4, what is (gf)(-3)? What is the value of the radical expression shown below? 18. What best describes the solutions of -2> 5x 37A.All real numbers greater than 7B.All real numbers greater than 6C.All real numbers less than 7D.All real numbers less than 6Plz show work or explain your answer :) A triangular field has sides of 218.5 m and 224.5 m, and the angle between them measures 58.20 . Find the area of the field. How fast would the International Space Station (ISS) have to travel to maintain a circular orbit a distance of 1400 km above the earth? Jogger A has a mass m and a speed v, jogger B has a mass m/3 and a speed 3v, jogger C has a mass 4m and a speed v/3, and jogger D has a mass 3m and a speed v/2. Rank the joggers in order of increasing kinetic energy. Indicate ties where appropriate. Which statement best identifies the conflict in this excerpt What are two ways selective breeding is helpful in agriculture Which sentence(s) below are true?a.IP stands for Internet Protocol.b.In most home networks IP addresses are assigned by the Internet Service Provider. c.If two laptops are connected to the same home network and surfing the web simultaneously, each laptop must have its own IP address. d.If two laptops are connected to the same home network and surfing the web simultaneously, they share the same IP address. During the year, credit sales amounted to $820,000. Cash collected on credit sales amounted to $780,000, and $15,000 has been written off. At the end of the year, the company adjusted for bad debts expense using the percent-of-sales method and applied a rate, based on past history, of 2.5%. The ending balance in the Allowance for Bad Debts is ________. A 2-m3 rigid tank initially contains air whose density is 1.18 kg/m3 . The tank is connected to a high-pressure supply line through a valve. The valve is opened, and air is allowed to enter the tank until the density in the tank rises to 5.30 kg/m3 . Determine the mass of air that has entered the tank? From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. What is the probability that Andrew will be among the 4 volunteers selected and Karen will not?