How can I solve this?

How Can I Solve This?

Answers

Answer 1

Answer:

Mean:  160

Median:  150

Mode:  none

Range:  105

Standard deviation:  35.3

Step-by-step explanation:

Given:

Mean = 320Median = 300Mode = noneRange = 210Standard deviation = 70.6

If each value in the data set is multiplied by a constant value, the mean, median, mode, range, and standard deviation will all be scaled by the same amount.

Therefore, if each value in the data set is multiplied by 0.5:

Mean:  320 × 0.5 = 160Median:  300 × 0.5 = 150Mode:  none × 0.5 = noneRange:  210 × 0.5 = 105Standard deviation:  70.6 × 0.5 = 35.3

Proof

Data set: {1, 2, 3, 4, 5}

[tex]\sf Mean\:\mu =\dfrac{\sum x_i}{n}= \dfrac{1+2+3+4+5}{5} = 3[/tex]

[tex]\sf Median = 3[/tex]

[tex]\sf Mode = none[/tex]

[tex]\sf Range = 5-1=4[/tex]

[tex]\sf Standard\:deviation\:\sigma=\sqrt{\dfrac{\sum (x_i-\mu)^2}{n}}=\sqrt{\dfrac{10}{5}}=\sqrt{2}[/tex]

If we multiply each value by 0.5, the new data set is:

{0.5, 1, 1.5, 2, 2.5}

[tex]\sf Mean\:\mu =\dfrac{\sum x_i}{n}= \dfrac{0.5+1+1.5+2+2.5}{5} = 1.5[/tex]

[tex]\sf Median = 1.5[/tex]

[tex]\sf Mode = none[/tex]

[tex]\sf Range = 2.5-0.5=2[/tex]

[tex]\sf Standard\:deviation\:\sigma=\sqrt{\dfrac{\sum (x_i-\mu)^2}{n}}=\sqrt{\dfrac{2.5}{5}}=\dfrac{\sqrt{2}}{2}[/tex]

Therefore, if each value in the data set is multiplied by 0.5, the mean, median, mode, range, and standard deviation are all scaled by the same amount.


Related Questions

Factor this quadratic completely. (Write step by step please)

Answers

[tex]Factor\ by\ grouping:\\\\2x^2+3x-35\\\\(2x-7)(x+5)\\\\2x-7=0\ and\ x+5=0\\\large\boxed{\therefore x=\frac{2}{7}\ and\ x=-5}[/tex]

Answer:  2x^2+3x-35=(x+5)(2x-7)

Step-by-step explanation:

[tex]2x^2+3x-35=\\2x^2+10x-7x-35=\\(2x)(x+5)-(7)(x+5)=\\(x+5)(2x-7)[/tex]

Look at the picture and help me find how many planes there are.

Answers

Answer:

I think B- 8

Is (4, -2) a solution to -6x + y = -26 ?

Answers

Answer: ask the teacher to break it down for u

Step-by-step explanation:

that simpile

y=6x-26, Although I didn't really get what were you looking for

Write a negation for each statement:
1. All squares are rectangles
2. There exists a segment that has no midpoint

Answers

Answer:

1. There exists at least one square that is not a rectangle.

2. Every segment has a midpoint.

Step-by-step explanation:

1.The given statement is: "All squares are rectangles". We have to find the negation of the statement. The statement that gives the negative meaning of the given statement is called the negation of the given statement. So the negation of the given statement is, "There exists at least one square that is not a rectangle".

2.Every segment has a midpoint.

Answer for 1.
All rectangles are squares.
❌ false

Answer for 2.
All segments have one midpoint.
✅ true

Reason - if a statement is true, then its negation is false and if a statement is false, then its negation is true. So the first statement is true so we have a false reply. The second one was false so we gave a true statement.

CAN YOU PLEASE ANSWER EACH QUESTION JUST PUT THE ANSWER DOWN THATS ALL NO EXPLAINING JUST ANSWERS IM STRUGGLING

Answers

Answer:

Q.17  9 2/5

Q.18 5

Q.19  13

Step-by-step explanation:

James makes 9x +6 per hour and Jimmy makes 3(2x + 15) per hour. How many hours must James
work to have more money than Jimmy?

Answers

Answer:

13 hours to earn the same amount and 14 hours to earn more

Step-by-step explanation:


Simplify by combining like terms. 5+(4 g-7)

Answers

By combining the like term, the simplified form of the given expression 5+(4g-7) is 4g-2

Given,

The expression = 5+(4g-7)

Expand the terms by opening bracket

5+(4g-7)=5+4g-7

Rearrange the terms

5+4g-7= 4g+5-7

Combine like terms

4g+5-7= 4g-2

Hence, by combining the like term, the simplified form of the given expression 5+(4g-7) is 4g-2

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A human hair has an average diameter of 2.5 * 10 ^ - 5 meters. What is the maximum number of human hairs that could fit side by side (without overlapping) on a microscope slide that is 50 millimeters wide? Write your answer in scientific notation.
(A) 2 × 10 ^ 3

(B) 2 × 10 ^ 5

(D) 10 ^ - 3

(C) 2 × 10 ^ 6​

Answers

Answer:    Choice (A)   2 × 10^3

===========================================

Explanation:

Let's find the width of the microscope slide in meters.

1000 mm = 1 m

1 mm = 1/1000 m

1 mm = 0.001 m

50*(1 mm) = 50*(0.001 m)

50 mm = 0.05 m

50 mm = 5 × 10^(-2) m

The microscope slide is 5 × 10^(-2) meters across. Divide this over the width of one hair.

5 × 10^(-2) ÷ 2.5 × 10^(-5)

(5/2.5) × 10^(-2 - (-5) )

2 × 10^(-2 + 5)

2 × 10^3

This converts to the number 2000. So we could have 2000 strands of hair side by side.

Answer:

(A)  2 * 10^3.

Step-by-step explanation:

50 millimeters = 0.05 m

= 5 * 10^-2 meters.

So, we divide this by the diameter of 1 hair:

= (5 * 10^-2) /  (2.5 * 10 ^ - 5)

= (5/2.5) * (10/^-2 / 10^-5)

= 2 * 10^(-2-(-5))

= 2 * 10^3.

If the sixth term in a geometric sequence is 1/625
and the common ratio is 1/5 find the explicit formula of the sequence

Answers

aₙ = 5*(1/5)^(n - 1) is the explicit formula of the sequence.

What is Sequence and example ?

A sequence is a list of elements that has been arranged in a certain way. As an illustration, 3, 7, 11, 15,... is a sequence because it follows a pattern in which each phrase is produced by adding 4 to the one before it.

The recursive relation for a geometric sequence is

aₙ = aₙ₋₁*R

where R is the common ratio.

We could write this in a general form as:

aₙ = a₁*(R)^(n - 1)

where a₁ is the first term of the sequence.

In this case we know that:

R = 1/5

And that:

a₆ = 1/625

Then we can replace these values in the above relation to get:

a₆ = (1/625) = a₁*(1/5)^(6 - 1) = a₁*(1/5^5) = a₁*(1/3125)

1/625 = a1*(1/3125)

(3125/625) = a1 = 5

Then the formula will be:

aₙ = 5*(1/5)^(n - 1)

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Solve each system by elimination or substitution.
2x + 4y = -8 , -5x + 4y = 6

Answers

The solution of the given system of equations is (-2, -1)

A system of equation can be solved using:

graphical methodsubstitution methodelimination method

The given system of equations:

2x + 4y = -8  ............   (1)

-5x + 4y = 6  .............. (2)

Since the coefficients of y is the same in both equations, variable y will be immediately cancelled out if we use elimination method.

Substract equation (2) from equation (1)

2x + 4y = -8

-5x + 4y = 6 –

7x         = -14

  x         = -2

Substitute x = -2 into equation (1):

2x + 4y = -8

2. (-2) + 4y = -8

-4 + 4y = -8

Add 4 to both sides

-4 + 4y + 4 = -8 + 4

4y = -4

 y = -1

Hence, the solution is (-2, -1)

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Water molecules can form hydrogen bonds with each other because they are ____________ molecules.

Answers

Water molecules forming hydrogen bonds with one another. The partial negative charge on the O of one molecule can form a hydrogen bond with the partial positive charge on the hydrogens of other molecules. Water molecules are also attracted to other polar molecules and to ions.

Jeff and Cameron are arguing about which one of them is faster. Jeff says "I can run
7
77 kilometers per hour!" and Cameron says "I can run
100
100100 meters per minute!"
Which one is faster?

Answers

The person who is faster is Jeff.

How to illustrate the information?

Jeff says "I can run 7 kilometers per hour!.

On the organs hand, it can be seen that Cameron says "I can run 100 meters per minute!"

It should be noted that that 1000km = 1 meter and that kilometers is higher than meter.

Therefore, the person who is faster is Jeff.

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If it takes 4 workers 21 hours to paint how many hours will it take 12 workers?

Answers

Answer:

63 hours

Step-by-step explanation:

4 workers = 21 hours

12 workers = g

[tex] \frac{21}{4} \times 12 \\ = 63hours[/tex]

Write the equation of a line that goes through (8,-3)

Horizontal line-
Vertical line-

I actually need help please explain not just answers. Is it just x=8 and y=-3?

Answers

Answer:

yes!

Step-by-step explanation:

that is the solution above

The data below is going to be plotted on a
line graph. Part of the grid is shown.
a) How many squares wide does the grid
need to be so that the data fits on the graph?
b) If the grid is 20 squares tall, then what
number should replace A to give the vertical
axis the best scale for plotting the data?
Time since start Distance from start
(minutes)
(km)
0
0
5
0.5
10
1.2
15
1.5
20
1.4
25
1.7
30
1.1
35
0.8
Distance from start (km)
A
0 5 10 15
Time since start (minutes)

Answers

(a )7  squares wide grid

(b) If the grid is 20 squares tall, then

number should replace A to give the vertical

axis the best scale for plotting the data . A = 0.1

According to the data,

(a) x = 35  one square represents five       {calculate the width

    there need 7 compartment in x axis.                 proportionally}

    so the answer is 7 square wide

(b) The largest value of distance from store is 1.9 km

     the grid is 20 square tall  {when A = 0.1, 20× 0.1 = 2 km > 1.9 km}

     so A = 0.1

The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.

What is the Grid Method of multiplication?

The grid method is a written method, which is used when multiplying numbers. It involves partitioning numbers into tens and units before they are multiplied. The grid method for multiplication is also known as the box method, because it involves adding numbers into boxes.

Before you start teaching them to use the grid method for these slightly more advanced multiplications, you should first check that they:

- have a solid understanding of times tables;

- can multiply any number by 10;

- can multiply one-digit numbers by multiples of 10 (for example, 6 x            

   20, 8 x 70 and so on);

- can multiply two multiples of 10, (for instance, 40 x 90);

- can reliably add four numbers, some of which are three-digit.

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(a )7  squares wide grid

(b) If the grid is 20 squares tall, then

number should replace A to give the vertical

axis the best scale for plotting the data . A = 0.1

According to the data,

(a) x = 35 five squares are represented by one; determine the width.

In the X axis, 7 compartments are required. proportionally}

the response is 7 square broad.

(b) 1.9 km represents the furthest distance from the store.

When A = 0.1, the grid has 20 squares, so 0.1 = 2 km is greater than 1.9 km.

so A = 0.1

When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.

What is the multiplication grid method?

When multiplying numbers, a textual method called the grid method is employed. Prior to multiplication, it entails dividing integers into tens and units. The box method, which involves adding numbers to boxes, is another name for the grid method of multiplication.

Prior to instructing students to perform these marginally more difficult multiplications using the grid method, you need make sure the following:

- possess a firm grasp of the times tables;

- is capable of ten times any number;

- has the ability to multiply one-digit values by multiples of 10 (for instance, 6 x).

8, 20, and so forth);

- is capable of multiplying two multiples of 10, such as 40 x 90;

— able to add four numbers, some of which are three digits, with reliability.

Help asap please

Maria wanted to bring back 5 million grams of sand from her trip to the beach. Each grain of sand weighs approximately 6.7 x 10^-7 kg. How heavy is the bag of sand that Maria brings home?

a
Multiply 5 x (6.7 x 10^-7) = 33.5 x 10^-7 = 3.35 x 10^-6 kg
b
Divide (5,000,000 / 6.7 x 10^-7) = (5 x 10^6) / (6.7 x 10^-7) = (5 / 6.7) x (10^(6 - 7)) = .74 x 10^-1 = 0.074 kg
c
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + 7)) = 33.5 x 10^13 = 3.35 x 10^14 kg
d
Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg

Answers

The weight of the bag she brings home is; D: Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg

How to use scientific notation?

We are told that Maria wanted to bring back 5 million kg of sand from her trip to the beach. Thus;

Amount of sand she wanted to bring out = 5,000,000 kg = 5 * 10⁶ kg

Now, we are told that each grain of sand weighs 6.7 * 10⁻⁷ kg. Thus, the total amount of sand she brings home is;

(5 * 10⁶) * (6.7 * 10⁻⁷) = (5 * 6.7) * (10⁶ ⁻ ⁷) = 33.5 * 10⁻¹ = 3.35 kg

Thus, the correct answer is; Multiply (5,000,000 x 6.7 x 10^-7) = (5 x 10^6) x (6.7 x 10^-7) = (5 x 6.7) x (10^(6 + - 7)) = 33.5 x 10^-1 = 3.35 kg

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two-column proof
Given: GH || FJ

m ∠ G=m ∠J=90

Prove: ΔH J F ≅ Δ F G H

Answers

We can say that ΔHJF ≅ ΔFGH under RHS condition.

What precisely is meant by the congruency of a triangle?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are repositioned.Two triangles are congruent if they satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).

So,

To Prove: ΔHJF ≅ ΔFGH

GH = FJ = (Given)∠G = ∠J = 90° = (RHS)

So, ΔHJF ≅ ΔFGH under RHS condition.

(Refer the table given below)

Therefore, ΔHJF ≅ ΔFGH

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GEOMETRY HONORS
Answer Options:
Valid: Law of Detachment
Valid: Law of Syllogism
No Valid Conclusions

All questions(17-21) must be answered, thank you all so muchhh

Answers

16.  Valid

Reason: congruency can be represented by the symbol ≅ hence  the statement still reads <1 and <2 are congruent.

17. Invalid

Reason: A rectangle also has four right angles, It is only a square when all the sides are equal.

18. Valid

Reason: congruency can be represented by the symbol ≅ hence the statement still reads <JKM and <MKL are congruent.

19. Valid

Reason: The conclusion of the battery dying is in support of the premise giving which is leaving the light on when the car is off.

20.Valid

Reason: The conclusion, Dante obtained a part time job is in line with the premise that obtaining a pert time job, is a way to afford a car payment

21. Valid

Reason: The premise which has that selling 75% of the prom tickets will make the prom hold at country club is fulfilled, hence the prom will be held at the country club

What are valid arguments?

An argument is vailed when the premises or conditions of the argument are all true. when some part of the argument is not true then it will lead to invalid conclusion.

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Simplify:
c3c2hhch
Write your answer with only positive exponents.

Answers

Answer:

[tex]c^6h^3[/tex]

Step-by-step explanation:

Simplify

         [tex]hhh=h^3\\c^3c^2h^3c\\c^3c^2c\\ccc = c^3\\=c^{3 \cdot 2}\\=c^6\\=c^6h^3[/tex]


Write a two-column proof.
Given: V is the midpoint of YW;
UY || XW.

Prove: ΔU V Y≅ ΔX V W

Answers

We reached the conclusion that ΔUVY≅ ΔXVW under SSA condition.

What is meant by the congruency of a triangle?If all three corresponding sides are equal and all three corresponding angles are equal in measure, two triangles are said to be congruent.These triangles can be moved, rotated, flipped, and turned to look exactly the same.They will coincide if they are repositioned.Two triangles are congruent if they satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).

So,

Given: V is the midpoint of YW; UY || XW.

To Prove: ΔUVY≅ ΔXVW

YV = VW = (Given)UY = WX = (Given: parallel)∠UVY = ∠XVW (Inversely opposite angles)

So, ΔUVY≅ ΔXVW under SSA contion.

(Refer the table shown below)

Therefore, ΔUVY≅ ΔXVW under SSA contion.

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Stuck, need help please.

In the figure shown, line AB is parallel to line CD.

Part A: What is the measure of angle x? Show your work.

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal.

Answers

The value of the angle x is equal to 53°

What is the Measure of the angle?

A) From the image attached, we can solve for the angles as follows;

m ∠RPB = 180 - 115 = 65°

Thus, the angle m∠x =  180° - 65° - 62°

= 53°

B) m∠RPB + m∠PRD = 180° (Internal angle between 2 parallel lines are equal).

Second line:

The 3 angles x, 62 and 65 degrees  are all on the same straight line (AB), so they sum to 180 degrees.

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if angle SXW = 5x-16, find the value of x so that SX is perpendicular to W (I'm in iss thank God for the good men and women of brainly)

Answers

The value of the variable x such that the two lines are perpendicular to each other is equal to 106 / 5.

What is the value of a variable associated with two perpendicular lines?

In accordance with geometry, two lines are perpendicular to each other if and only if the measure of the angle between the two lines is equal to 90°. Then, the angle SXW must be equal to 90° and we need to solve for x in the following equation:

5 · x - 16 = 90

5 · x = 106

x = 106 / 5

The value of the variable x such that the two lines are perpendicular to each other is equal to 106 / 5.

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3 more than m as an equation

Answers

Answer:m+3

Step-by-step explanation:hope this helps

help me ............................,...........................................................

Answers

The values to the nearest tenth are:

a. 1. 43

b. 26. 41

c. 11. 69

d. 4. 57

e. 15. 77

How to determine the values

Given the equations;

a. 4. 186 - 2. 758

Find the difference

1. 428

1. 43

b. 72. 05 - 45. 64

Find the difference

26. 41

c. 82. 156 - 41. 31 - 29. 16

Find the difference

11. 686

11. 69

d. 17. 054 - 11. 65 - 0. 83

Find the difference

4. 574

4. 57

e. 29. 16 - 12. 48 - 0. 91

Find the difference

15. 77

Thus, the values to the nearest tenth are 1. 43, 26. 41 , 11. 69, 4. 57, 15. 77

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find x when y is -1. y= -7/8x+17

Answers

Answer:

x is 20.57

Step-by-step explanation:

-1 minus 17 is -18. -18 divided by -7/8 is 20.57

Answer:

Step-by-step explanation:

-7/8x+17=-1

Now we need to find what +17 = -1

-1 - 17 = -18

Now we find out how many times -7/8 go into -18

-18 / (-7/8) = 20.57412857

So x = 20.57412857

As a fraction, that would be 144/7

Hope this helps ^^

The measures of two vertical angles are 32° and (2x + 2)°. Find the value of x

Answers

Answer:

x = 15

Step-by-step explanation:

Vertical angles, also called opposite angles sometimes, are angles that across from each other.

They are congruent meaning they have equal measurement

We can write the following equation based on these information to find the value of x :

2x + 2 = 32 subtract 2 from both sides

2x = 32 divide both sides by 2

x = 15

If a manufacturer sells x units of a certain product, his revenue R and cost C (in dollars) are given by the following. R = 7x C = 1000 + 2x + 0.001x2 Use the fact that profit = revenue − cost to determine how many units the manufacturer should sell to enjoy a profit of at least $1250.

Answers

Using factorization, In order to have at least $1250 profit, manufacturer should sell the product between $4500 and $500.

Given,

Revenue (R) = 7x

Cost (C) = 1000 + 2x + 0.001x²

Profit ≥ $1250

Using factorization,

profit = revenue − cost

⇒ Profit= 7x -  1000 - 2x - 0.001x²

⇒  7x -  1000 - 2x - 0.001x² >= 1250

⇒  5x - 0.001x^2 >= 2250

⇒  0.001x^2 - 5x <= - 2250

⇒  0.001x^2 -5x + 2250 >= 0

multiplying 1000 on both sides

⇒  1000x^2 - 5000x + 2250000 > = 0

⇒  x(x - 500) - 4500(x - 500) >=0

⇒  (x- 500) + (x - 4500) >= 0

⇒  x = 500, 4500

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Find the vertex, focus, and the directrix of each parabola. y=x² +6 x+5

Answers

   For the given parabola:

 We have the following data.

Vertex

v = (-3,-4)

Focus

f = (-3, -3.75)

Directrix

d  = y = -4.25

We define what a parabola is

What is a parabola?

 The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.

The canonical equation of a parabola is given by

(x - h)² = 4p(y - k)

The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.

  The parabola equation is:

y = x² + 6x + 5

y - 5  + 9 = x² + 6x + 9

y + 4 = x² + 2(3x) + 3²

y + 4 = (x + 3)²

This means that the vertex of this parabola is

v = (h, k)

v = (-3,-4)

4p = 1p = 1/4

f = (-3, -4 + 1/4)

f = (-3, -3.75)

Directrix

d = y = -4 - 1/4

d  = y = -4.25

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dos someone mind helping me with this? Thank you!

Answers

Answer:

50.24

Step-by-step explanation:

d equals 2r r=4 four squared equals 16 16 * π = 50.24


Simplify each complex fraction. 1/x y - 1/y² / 1/x²y - 1/x y²

Answers

The simplified form of given complex fraction is (1/xy - 1/y²) / (1/x²y - 1/xy²) =  x

In this question,

we have been given a fraction 1/x y - 1/y² / 1/x²y - 1/x y²

We need to simplify given complex fraction.

First we simplify numerator.

1/x y - 1/y²

= y² - xy / xy³

= y(y - x) / xy³

= y - x / xy²

Now we simplify denominator.

1/x²y - 1/x y²

= xy² - x²y / x³y³

= xy(y - x) / x³y³

= y - x / x²y²

So given fraction would be,

1/x y - 1/y² / 1/x²y - 1/x y²

= y - x / xy² / y - x / x²y²

= (y - x / xy²) × (x²y² / y - x )

= x²y² / xy²

= x

Therefore, the simplified form of given complex fraction is 1/x y - 1/y² / 1/x²y - 1/x y² = x

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Other Questions
The position-time equation of motion for a bunny hopping acrossa yard isx = 8.3 m+ (2.2 m/s)tWhat is the initial position of the bunny? Consider the U.S. Shirts function, C(s) = 8s + 15. Explain me how to solve it please.What number would be S and what would be C The table shows pricing information for two pizzas. How many toppings would make the cost the same for all pizzanumber 13 only Which of the following is a true statement about the map? The border between Minnesota and Wisconsin is a thin, black line; this indicates a national boundary. The border between Minnesota and Wisconsin is a thick, black line; this indicates a state boundary. The border between Minnesota and Canada is a thick, black line; this indicates a national boundary. The border between Minnesota and Canada is a thin, blue line; this indicates a state boundary. If a small motor does 200 J of work to move a toy car 40 m, what force does it exert? Please help with the math problem |||Finding the average rate of change of a function given its...Find the average rate of change of g (x) = -2x-x from x = 1 to x = 6.Simplify your answer as much as possible.018 08Xk pless i really need help Kiki And her friends want to go bowling on Friday night but can't decided where to go.Main event charges $3 for bowling shoe rental and $10 per bowling.MaxBowl charges $6 to run bowling shoes and $9 per bowling game.Write and solve an equation that shows how many games can be played for about places to cost the same. Write a balanced half-reaction for the reduction of permanganate ion to manganese ion in acidic aqueous solution. be sure to add physical state symbols where appropriate. Find the value of a. The diagram is not to scale.21-129(2q+6)9 what was one shortcoming flaw of many Enlightenment philosophes? and why did Mary Wollstonecraft attempt this problem "one-third of a number is 12 less than the number itself" translate as an equation not solved What is the author's perspective ondemocracy?Democracy has always been thegreatest form of governmentDemocracy should be dismantledand replaced with a better form ofgovernmentThe United States has alwaysextended democratic rights to allcitizensDemocracy has a long history ofbeing undemocratic 18. What is culture?Culture refers to the way of life of a society, which includes its -Culture is handed down from - identify the postulate or theorem that proves jk.Given: 2 and 3 are supplementary. Farmer ed has meters of fencing, and wants to enclose a rectangular plot that borders on a river. If farmer ed does not fence the side along the river, what is the largest area that can be enclosed?. What happened when the Council of Constance decided that John Wycliffe was a heretic?O He was expelled from the Church.O His body was dug up burned.O He was executed.O He was given a promotion. Find the center and the radius of each circle. x+(y-4)=11 In+a+10-year+period,+your+investment+of+$250+grows+to+$2,500.+what+is+the+growth+rate+of+your+earnings?a. 28.32%b. 25.89%c. 22.22%d. 31.18%