z^m-n (z^m+ z^m+n + z^n)

Answers

Answer 1

Answer:Your left hand side evaluates to:

m+(−1)mn+(−1)m+(−1)mnp

and your right hand side evaluates to:

m+(−1)mn+(−1)m+np

After eliminating the common terms:

m+(−1)mn from both sides, we are left with showing:

(−1)m+(−1)mnp=(−1)m+np

If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:

(−1)(−1)mn=(−1)n.

It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:

(−1)(−1)mn=(−1)−n=1(−1)n

Multiplying both sides by (−1)n then yields:

1=(−1)2n=[(−1)n]2 which is always true, no matter what n is


Related Questions

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. How many yards of fabric will she need for
the 8 placemats?

Answers

Answer:

144 yarns of fabric

Step-by-step explanation:

If 8 placemat =18 fabrics

then 8 p placemats=8x18

=144

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. Leilani will need 4 yards of fabric to make the 8 placemats.

To determine the amount of fabric Leilani will need for 8 placemats, we need to convert the given length from inches to yards.

Given:

Length of fabric needed for one placemat = 18 inches

To convert inches to yards, we divide the length in inches by 36 (since there are 36 inches in a yard).

18 inches / 36 = 0.5 yards

Therefore, for one placemat, Leilani will need 0.5 yards of fabric.

To find the total amount of fabric needed for 8 placemats, we multiply the fabric requirement for one placemat by 8:

0.5 yards/placemat * 8 placemats = 4 yards

Leilani will need 4 yards of fabric to make the 8 placemats.

To know more about  "yards."  here

https://brainly.com/question/24487155

#SPJ2

Full Question.

Leilani wants to make 8 placemats. For each placemat she needs 18 in of fabric. How many yards of fabric will she need for the 8 placemats?

( No graph Needed)

What is the area of this figure?

Enter your answer as a decimal in the box.

Answers

Answer:

162

Step-by-step explanation:

18 + 63 + 81

Answer:

Step-by-step explanation:

Area of the parallelogram is A=hb and the area of the triangle is A=hb/2 so

A=9(11)+7(11)/2

A=137.5 cm^2

28,490 - 478.29 solve ​

Answers

Answer:

28,011.71

Step-by-step explanation:

WILL MARK BRAINLIST JUST HELP ME
What is the volume of the triangular prism?
A) 15 cm3
B) 18 cm3
C) 21 cm3
D) 24 cm3

Answers

Answer:

A

Step-by-step explanation:

HELPPPPPPPPP MATH PLEASE

Answers

Answer: 14

Step-by-step explanation:

Answer:

12 units^2

Step-by-step explanation:

The triangle on the left has an area of 2, the square has an area of 4 and the triangle on the right has an area of 6.

Add these up to get 2+4+6 = 12

determine the domain and range of each graph use inequalities to write your answer​

Answers

Answer: Domain is all real numbers. And range is y≥ 3

Step-by-step explanation:

what is 2/5 x 5/6
i need the answer in 3 minutes

Answers

1/3

...............

.

...........

Answer:

1/3

Step-by-step explanation:

What number would make this problem many solutions?

Infinity many solutions :
10x+ ___ =2(5x+7)

2
5
7
14
17
20

Answers

Answer:

14

.........................

Answer:

14

Step-by-step explanation:

Distribute the right hand side of the equation to get 10x +14. To have infinitely many solutions, the left hand side would be the same so the answer is 14.

A class of fourth graders decides to split into groups based on the first letter of their last names.then,they choose students from each group.what type of sampling is used?

A.Quota sampling

B.Volunteer sampling

C.Purposive sampling

D.Convenience sampling

Answers

Answer:

Volunteers sampling is correct answer

solve for n:
3n > 6. ​

Answers

Answer:

n > 2

Step-by-step explanation:

help please i’ll give extra points

Answers

Answer:

P would be reflected into quadrant 4.

Step-by-step explanation:

Answer:

Quadrant 4

Step-by-step explanation:

The quadrant under P is quadrant 4. Imagine putting a mirror on the x-axis, where would P be? It would be on the fourth quadrant, the quadrant underneath P.

Have a nice day!

If two angles are vertical, the sum of their measures is equal to the measure of a right angle true or false?

Answers

Step-by-step explanation:

False,

Vertical angles isn't always complementary l

Answer:

true

Step-by-step explanation:

If two angles are congruent, their measures are equal.

Does anyone know the answer to this?

Answers

Try photo math
It help u

5 + (1/7)b = -2
what is b?

Answers

Answer: b=-1

Step-by-step explanation:

[tex]5+\frac{1}{7}b=-2\\\\5+\frac{1}{7}b=-2\\\\\frac{1}{7}b=-7\\\\b=-1[/tex]

can somebody help me with math I have 3 more questions OWO:

If Jeff drives 200 miles per hour in his race car, and this relationship is graphed, which ordered pair would not be on the graph?

1. (2, 400)
2. (0, 0)
3. (8, 1,600)
4. (5, 1,200)

please don’t steal all my points UwU :( :’)

Answers

4. If he had driven for 5 hours the X coordinate would be 1000.

The ordered pair would not be on the graph is (5, 1200)

The correct option is (4).

What is 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. LHS = RHS is a common mathematical formula.

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:

If Jeff drives 200 miles per hour in his race car.

So, if we denote the distance by y and time by x then relation is

y = 200x

For x = 0

y=0

and, x= 2

y= 400

and, x= 8

y= 1600

and, x= 5

y = 1000

Hence, the point not on the graph is (5, 1200)

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ2

1. Quadrilateral ABCD has AB = x+3 and CD= 5x –7. What is the length of x
for which the quadrilateral is a parallelogram?​

Answers

Answer:

x = 2.5

Step-by-step explanation:

since it's a parallelogram, AB = CD so:

x + 3 = 5x - 7

subtract x from each side of the equation:

3 = 4x - 7

add 7 to each side:

4x = 10

divide both sides by 4:

x = 2.5

The costs of a pack of noodles, a can of soda and a pack of bread buns are 120 Pesos, 45 Pesos, and 50 Pesos respectively. Brayden wants to buy x packs of noodles, y cans of soda, and z packs of bread buns.​

Answers

120x+45y+50z=C
This equation models this situation where C is the total cost

daniel has x coins, paula has 2 time as many coins as Daniel​

Answers

Answer:

Paula = 2x coins

Step-by-step explanation: We don't know how many x is, but we know that whatever x is, Paula is going to have double that number of coins. Turn this explanation into an equation... 2x...

translated up 3 units and left 2 units

Answers

What are we trying to answer here lol

A bag contains: • 2 white marbles • 3 brown marbles • 4 purple marbles • 6 orange marbles A marble will be drawn from the bag and replaced 75 times. What is a reasonable prediction for the number of times a brown or purple marble will be drawn?

Answers

Answer:

45

Step-by-step explanation:

There are 14 total marbles. The probability of drawing a yellow marble on the first draw is 3/14. Given replacement, the probability on the second draw is the same as on the first draw, so the probability of  black marble on the second draw is 6/14. The probability of drawing first a yellow marble then a black marble is 3/14 * 6/14 = 18/196.

Answer:

35

Step-by-step explanation:

sorry, i dont have an explanation for this i just guessed and it was right, here u go :)

nine divided by n plus two

Answers

Answer:

whats n?

Step-by-step explanation:

im guessing 9/1=9+2=11 idek bc u didnt give n

1. The diameter of a circle is 8. what is the radius?

Answers

Answer:

Radius = 4

Step-by-step explanation:

r = d/2

r = 8/2

r = 4

Answer:

4

Step-by-step explanation:

The diameter of a circle is the length of a straight line from two opposite points on the circle. The radius is the length of a straight line from the middle to a point on the circle. This means that the diameter must be double the radius. So to find the radius, divide the diameter by 2. Since 8/2=4, the radius is 4.

Show your work and explain in a full sentence how
4 2/6 is equivalent to
3 8/6.

Answers

3 8/6 means 3 6/6 + 2/6
In simpler terms, 8/6 is a whole + 2/6, so 3 8/6 is 3 + 1 + 2/6, which is equivalent to 4 2/6

Answer:

Step-by-step explanation:

The reason why there the same is because if you simplify the fractions you get 1 1/3 from 4 2/6 and 3 8/6.

A student answered 43 questions correctly in a 53 questions test. What
percent is that?
Round your answer to the nearest whole.
%

Answers

Answer: 81%

Step-by-step explanation: I think i'm right

x over 8 = 10?
i just need to solve for x

Answers

X =80 you just have to multiply 8x10

please help me ahh!!!!!! (question in picture)

Answers

Answer:

A. -3

Step by Step:

Answer: The answer is 1/3 hope it helps :)

A rectangular poster has an area of 38 square feet. It is 4 3/4 feet wide at its base. What is the height of the poster

Answers

Answer: The height is 8

Step-by-step explanation:

4.75 x 8 = 32

Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

X’(1, 1), Y’(-4, 3), Z’(1, 5)
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
X’(–1, –1),Y’(4, –3), Z’(–1, –5)

Answers

Answer:

When a figure is rotated counterclockwise about the origin, its original coordinates of point P (x,y) will now be positioned as P' (-y,x).

X (1,-1) --> X' (1,1)

Y (3,4) --> Y' (-4,3)

Z (5,-1) --> Z' (1,5)

The correct set of image points for triangle X'Y'Z' is X'(1,1), Y'(-4,3), and Z'(1,5).

Step-by-step explanation:

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Transformation

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

If a point A(x, y) is rotated 90° counterclockwise the new point is A'(-y, x).

Triangle XYZ is rotated 90° counterclockwise, the new coordinate is X'(1, 1), Y'(-4, 4) and Z'(1, -5)

Find out more on Transformation at: https://brainly.com/question/26092237

please help ll do anything just help me with this question on math:

Which of the following is not the same as positive 3?

1. 3 units to the left of 0 on a number line
2. the opposite of -3
3. +3
4. 3

what’s the awnser? 1,2,3, or 4

Answers

answer:

3 units to the left of 0 on a number line

step-by-step explanation:

your asking for the opposite of positive 3 which just means your looking for a negative 3 ( also written like this -3 )

and going left on a number line means going down on a number line so if your going into the negatives if you started at 0

here is a small number line to help me explain this better

<----|----|----|----|----|----|----|----|----|----|----|---->

    -5  -4  -3  -2   -1   0    1    2   3   4   5

                               *          ( the star is you and your starting off at the #0 )

           <|-(-1)-(-1)-(-1)-                     = -3 ( taking 3 jumps to the left )

                  *        

       ( and now the star is at -3 which was the number you needed )

i hope this helps you and if you need anything else then just tell me! :)

Find the area of the triangle. Enter your answer in the box.
3 m
8 m
m2
(Please help)

Answers

1/2Base×height

Step-by-step explanation:

1/2×8×3

=4×3

=12

Other Questions
what percent of 41 is 27.9 Branliest! help please and only if you speak spanish, thank youImagine you get to order your teacher around. Give her 5 Spanish commands using the correct Ud. command forms. Be sure to use five different verbs in your commands.You will be graded on (a) pronunciation, (b) correct verb usage, and (c) overall quality of your response. what is a triangle with a 90 degree angle What is the area of the triangle at the right? Use details from paragraphs 15-18 to write two or three sentences describing which days were special to the slaves and why. Cite evidence from the text to support your explanation. Air Tampa has just been incorporated, and its board of directors is grappling with the question of optimal capital structure. The company plans to offer commuter air services between Tampa and smaller surrounding cities. Air Tampa believes it would have the same business risk as Jaxair, which is an airline that has been around for a few years and that has had zero growth. Jaxair's market-determined beta is 1.8, and it has a current market value debt ratio (total debt to total assets) of 45% and a federal-plus-state tax rate of 25%. Air Tampa expects to have investment tax credits when it begins business, which reduces its federal-plus-state tax rate to 15%. Air Tampa's owners expect that the total book and market value of the firm's stock, if it uses zero debt, would be $14 million. Air Tampa's CFO believes that the MM and Hamada formulas for the value of a levered firm and the levered firm's cost of capital should be used because zero growth is expected. Required:a. Estimate the beta of an unlevered firm in the commuter airline business based on Jaxair's market-determined beta. b. Now assume that rd= rRF= 10% and that the market risk premium RPM for an unlevered commuter airline. 5%. Find the required rate of return on equity c. Air Tampa is considering three capital structures: (1) $2 million debt, (2) $4 million debt, and (3) $6 million debt. Estimate Air Tampa's rs for these debt levels. If 5 hamburgers cost $10, what is the cost for 3 hamburgers? Two dogs are having a game of tug of war with their toy. What has to happen so that one of them can win? having two of the same genes for the trait (sometimes called purebred). help with this who answer the correct get brainleist all three of the Questions 3.5.6 Introduce Yourself, Part 2please hellllpp it keeps saying the code is wrong Everyone caugh speeding on the interstate highway was given a ticket even the governor.O Individual Rights and FreedomsO Separation of PowersO Popular SovereigntyRule of Law Fill in the missing words or phrases. 1. regalo (este) 2. gafas (este) 3. sombrero (este) 4. caja (este) 5. vestidos (ese) 6. ropa (ese) 7. mercado (ese) 8. clientes (aquel) 9. medias (ese) 10. corbata (ese) pls help!!! will give brainly!!!how to say in spaish? In the summer, it is sunny and dry. Use the Distributive Property toREWRITE 5(p - 8) (2,4) and (1,0). find the slope of each line the contains the given pair points please I need help I will give brainliest book recommendations for beginners ? i really wanna get into books, but i dont know where to start Which selection from the article provides the STRONGEST evidence to support the author's central claim that zoos fail to provide animals with the resources and habitats they need? (A) According to People for the Ethical Treatment of Animals (PETA), a nonprofit organization that fights for animal rights, only 18 percent of animals in United States zoos are actually endangered. Zoos spend tons of money on building enclosures for these animals while doing little to nothing to restore habitats or stop poaching in wild environments. (B) According to the opinion article "All the Reasons Why Zoos Should Be Banned," published by Vice in 2015, polar bears in captivity have up to 18,000 times less space in zoos than they do in the wild. Animals cannot live full, healthy lives in captivity. Seventy-five percent of elephants kept in zoos are overweight, and 40 percent of lion cubs pass away before their full life span potential. (C) The British Broadcasting Company (BBC) has reported that around 3,000 to 5,000 animals are killed each year in zoos in Europe. Many more animals show signs of zoochosis, a psychological disorder observed in zoo animals that leads to pacing, bar biting and obsessive behavior. (D) Rather than scrambling for resources that will never prove adequate to the animals in their care, zoos should instead make an effort to reintroduce the animals into natural habitats where they can thrive on their own. Amber ran a 25 kilometer road race in 3 hours. She ran at the same speed and covered the same distance each hour. Draw a visual model to find the distance Amber ran each hour. Between which two whole numbers does the she ran each our lie