show that
[a+x]ⁿ=aⁿ[1+×/a]ⁿ, a≠0

Answers

Answer 1

Answer:

[tex]Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved[/tex]


Related Questions

what is the answer to
24(4 goes up)+7

Answers

23 i hope this helps

Answer:

23

Step-by-step explanation:

The math club has 96 members. 1/8

of the members are fourth graders and the rest are fifth graders. How many math club members are fifth graders?


A. 12


B. 16


C. 80


D. 84

Answers

the answer is 84 so it’s D

Answer: 84

Step-by-step explanation: you multiply 96 by 1/8 to get 12 then you subtract 96 by 12 to get 84, so you have 84 fifth graders :)

The function g(x) is defined as shown
What is the value of g(0)?
0-2
-1
3x-2, 45X-2
3
g(x) = -X-1, -25x< 1
6. 15x<3
6
Oo

Answers

Answer:

-1

Step-by-step explanation:

[tex] - 2 \leqslant 0 < 1[/tex]

g(x)=0-1=-1

The value of the function g(0) is -1.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given function g(x) = 3x-2,  -4≤x<-2

g(x) = -x-1,  -2≤x<1

g(x)=6, 1≤x≤3

We need to find value of g(0).

Let us check at which interval the value zero lies.

The zero lies in the interval  -2≤x<1.

So we have to use the function g(x)=-x-1

Now put x as zero

g(0)=-0-1

=-1

Hence, the value of the function g(0) is -1.

To learn more on Functions click:

https://brainly.com/question/30721594

#SPJ7

Three teachers buy prizes to put in the prize bin at school. Mrs. Maiers spends $7.68 on stickers.
Mr. Lang spends $11.52 on balloons. Mrs. Connor spends $17.64 on pencils.

Part A
Use the bar diagram to help find how much the teachers spend in all on the prizes.

A bar diagram with a bar labeled stickers, a bar labeled balloons, and bar labeled pencils that equal the total cost.

Enter your answer in the box.

Answers

Hi there! The answer to this problem would be 36.64$.

Step By Step:

So there is three teachers and they all brought something.

_____________________________________

| Mrs.Maiers  | 7.68$                                                |

| Mr.Lang       | 11.52$                                               |

| Mrs.Connor | 17.64$                                              |

______________________________________

Total Cost: 36.64

what is the value of 58 - 2 x 3 + 1

Answers

Answer:

53

Step-by-step explanation:

plzzzzzzzz tell fast​

Answers

It would be 7xu/ becaus

Matts seat is located at (-2,5) and Beths seat is loacted at (-4,7). How far apart are Matt and Beths seats?​

Answers

Answer: (-2,2)

Step-by-step explanation: -2 - -4 = -2 and 5 - 7 = 2 so I think (-2,2)

Answer: The answer would be 2,2. ummm

Step-by-step explanation:

Write 31/24 as a decimal rounded to the nearest tenth​

Answers

Answer:

1.3

Step-by-step explanation:

just divide 31 by 24

This will give you the decimal: 1.291666667

Since the number 2 is right of the decimal point, it is in the tenths place.

Therefore, since the number next to the 2 is 9, you would round the 2 up and get 1.3 as your answer.

100 PTS!! Will give Brainliest...

Q. Select ALL transformations from the parent graph of the function f(x)=|x+7|−3

Shifted down 3

Shifted right 7

Shifted up 3

Shifted up 7

Shifted left 7

Shifted left 3

Shifted right 3

Shifted down 7

Answers

Answer:

shifted left 7 & shifted down 3

Step-by-step explanation:

i need help asap due tonight

Answers

Answer:

The top right one 3(x+4)=30

Step-by-step explanation:

Answer:

The answer should be the one on the top right.

Step-by-step explanation:

So we know that the whole entire model equals 30, and each of the three sections are s+4. So, in order to get 30, the equation has to have something to do with three times s+4. We can eliminate the one on the top left because the model does not have a 12 involved. We can also eliminate the bottom left because it only represents one of the three s+4s. The bottom right can be taken off because the 3 in that equation is only multiplied to s, and not s+4. The top right works because it is saying that s+4 multiplied by 3 times is equal to 30. There you go! I hope this helps❤️

Al sumar 2x+5y-4z+9 y 2x-4y+6 se obtiene?

Answers

Answer: (Responder)

4x + y + 15 – 4z

Step-by-step explanation: (Explicación paso a paso)

(2x + 5y – 4z) + (9 + 2x – 4y + 6)

Group Like Terms (Agrupar términos similares)

2x + 2x + 5y – 4y – 4z + 9 + 6

Add Similar Elements (Agregar elementos similares)

4x + 5y – 4y – 4z + 9 + 6

4x + y – 4z + 9 + 6

Add The Numbers (Suma los números)

4x + y + 15 – 4z

4. The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?
O4p2 - 2
25p2 + 1
25p - 10p - 1
25p2 - 1

Answers

Answer:

D. 25p² - 1

Step-by-step explanation:

Each side length of a square = 5p

Length of rectangle = 5p + 1

Width of the rectangle = 5p - 1

Area of rectangle = Length × Width

Area of rectangle = (5p + 1)(5p - 1)

= 5p(5p - 1) +1(5p - 1) (distributive property)

= 25p² - 5p + 5p - 1

Area = 25p² - 1

Don't give wrong answer! Now help me :)

Answers

Yes.

Ab = cd and bc = ad

Using SAS postulate triangles formed by ABC = abd

Opposite sides are equal and each angle is 90 degrees so by definition it is a rectangle.

Can someone help me with this?

Answers

Answer:

use photomath

Step-by-step explanation:

all you.do is download it then scan your problem its that simple

what are 3 equivalent fractions of 5/6

Answers

Answer:

Answer is 10/12 , 15/18 , 20/24 , 25/30 .

Step-by-step explanation:

1. 5/6 { Multiply both numerator and denominator with 2 }

5/6 = 10/12

2. 5/6 { Multiply both numerator and denominator with 3 }

5/6 = 15/18

3. 5/6 { Multiply both numerator and denominator with 4 }

5/6 = 20/24

4. 5/6 { Multiply both numerator and denominator with 5}

5/6 = 25/30

Three equivalent fractions of 5/6 are 10/12, 15/18 and 20/24

A regular price of a bathing suit is $89.99. What is the new price of the bathing suit when it is 70% off the regular price?

Answers

Answer:

$26.99

Step-by-step explanation:

i multiplied $89.99×.7 to get $62.993 and subtracted that from the regular amount.

hope this is right and helps :)

Answer:

Step-by-step explanation:

89.99(1-70/100)

89.99(30/100)

$26.997

$27 (rounded to nearest cent)

2. Write and solve an equation for each situation.
Justin and Marcus went for a bike ride. Together they rode a total of 28.6 miles. If Justin rode 14.4
miles, how many miles (m) did Marcus ride? * help plz

Answers

Answer:

14.2 miles

Step-by-step explanation:

14.4 + m = 28.6  is your equation

Then subtract 14.4 from both sides

m = 14.2

An advertising agency notices that approximately 2 in 50 potential buyers of a product sees a given magazine ad, and 1 in 7 sees a corresponding ad on television. One in 100 sees both. One in 5 actually purchases the product after seeing the ad, 1 in 10 without seeing it. What is the probability that a randomly selected potential customer will purchase the product

Answers

Answer:

the probability that a randomly selected potential customer will purchase the product is 0.11728

Step-by-step explanation:

Given the data in the question;

by hypothesis, let the event be given as;

M = buyers sees a given magazine ad of the product

T = buyers sees a given television ad of the product

[tex]P_{A}[/tex] = buyer purchases the product after seeing the ad

[tex]P_{A"}[/tex] = buyer purchase the product without seeing the ad

from the information given in the question;

P(M) = (2/50 ) = 0.04,  P(T) = ( 1/7) = 0.1428,  P(M∩T) = (1/100) = 0.01,

P([tex]P_{A}[/tex]) = (1/5) = 0.2, p( [tex]P_{A"}[/tex]  ) = (1/10) = 0.1

now, the probability that the buyer sees the ad of the product will be;

P( M ∪ T ) = P( M) + P(T) - p( M ∩  T)

P( M ∪ T ) = 0.04 + 0.1428 - 0.01

P( M ∪ T ) = 0.1728

The probability that the buyer does not see the ad of the product will be;

P( M ∪ T )' = 1 - P( M ∪ T )

= 1 - 0.1728

= 0.8272

Now, the probability that a randomly selected potential customer will purchase the product will be;

P(P) = P([tex]P_{A}[/tex]) P( M ∪ T ) + p( [tex]P_{A"}[/tex]  )P( M ∪ T )'

P(P) = (0.2)(0.1728) + (0.1)(0.8272)

= 0.03456 + 0.08272

P(P) = 0.11728

Therefore, the probability that a randomly selected potential customer will purchase the product is 0.11728

In triangle ABC, point D is the centroid, and BD=6. Find BE

Answers

Answer:

where is the image that can show the triangle?? how can we answer your question if its incomplete?

ABC~DEF. ABC has a perimeter of 18 and a leg of 5. The base of DEF is 34.4. What is the perimeter of DEF.

Answers

Answer:

DEF =77.4 inches I attached an answer sheet so you can know how to work out the problem

Decrease £14120 by 4% Give your answer rounded to 2 DP.

Answers

Answer:

(14120/100)*96 = £13,555.20

Step-by-step explanation:

Answer:

£13,555.20

Step-by-step explanation:

14120*4=56480

56480+14120=70,600

then 70,600+20

on a cauculaiter it will give you 70,620 but it is 70,600.20

then 14,1000.50-1,555.30=13,55.20

hope it is helpfull

PLEASE HELP. I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERS BOTH PARTS OF THE QUESTION.



Parking at the posh center costs d dollars per hour during the off hours and an extra $3 per hour during peak hours. During holidays, the basic rate of d doubles. Write an expression for how much it would cost to park for 3d hours on a holiday during peak hours.
Then, if the basic off-hours parking rate is $2.50 per hour, how much would a person pay to park for 3d hours in the situation described above?


PLEASE HELP. I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERS BOTH PARTS OF THE QUESTION.

Answers

THINGS TO REMEMBER:

the variable d represents dollarsCosts an extra $3 per hour during peak hoursWhile holiday's are going on the amount of d doublesFind how much parking would cost on a holiday during peak hour's

-----

Question: Write an expression for how much it would cost to park for 3d hours on a holiday during peak hours.

-----

Answer: 3d × 2  or  3d + 3d

-----

Explanation: This is because during holidays the amount of d doubles. However since this is on a holiday DURING peak hours it would be 3d × 2

-----

Question 2: Then, if the basic off-hours parking rate is $2.50 per hour, how much would a person pay to park for 3d hours in the situation described above?

-----

Answer: $15

-----

Explanation: Since d represents dollars we would multiply 2.50 times 3 which would give us 7.5 then we double this since it is during holidays giving us $15

-----

NOTE: I AM SO SORRY IF THIS IS WRONG AND I MISSED SOMETHING. IF IT IS WRONG THEN PLEASE MAKE SURE TO TELL ME SO I CAN FIGURE OUT WHAT I MISUNDERSTOOD

Again I'm sorry but I hope I helped a little bit.    

Pls help I need this and I don’t get it

Answers

Answer:

C.

Step-by-step explanation:

Hi there!

To find the answer to this, plug the number values in for n and then solve.

For the answer to be correct, the sum has to be less than 26.

Answers B and D both have numbers that would be equal to 26, so they aren’t right.

Answer A has numbers that would go over 26.

Every number in C can be added to 15 and the sum would be less than 26.

I hope this helps!

a small woodcarving company mailed 190 advertisements, some requiring 33 cents in postage and other requiring 55 cents in postage. if the total cost for the mailings was $75.90, how many mailings that require 33 cent stamps were sent?

Answers

Answer:

The history of postal service of the United States began with the delivery of stampless letters, whose cost was borne by the receiving person, later also encompassed pre-paid letters carried by private mail carriers and provisional post offices, and culminated in a system of universal prepayment that required all letters to bear nationally issued adhesive postage stamps.[1]

Benjamin Franklin postage stamp of 1895

In the earliest days, ship captains arriving in port with stampless mail would advertise in the local newspaper names of those having mail and for them to come collect and pay for it, if not already paid for by the sender. Postal delivery in the United States was a matter of haphazard local organization until after the Revolutionary War, when eventually a national postal system was established.[2] Stampless letters, paid for by the receiver, and private postal systems, were gradually phased out after the introduction of adhesive postage stamps, first issued by the U.S. government post office July 1, 1847, in the denominations of five and ten cents, with the use of stamps made mandatory in 1855.

The issue and use of adhesive postage stamps continued during the 19th century primarily for first class mail. Each of these stamps generally bore the face or bust of an American president or another historically important statesman. However, once the Post Office realized during the 1890s that it could increase revenues by selling stamps as "collectibles," it began issuing commemorative stamps, first in connection with important national expositions, later for the anniversaries of significant American historical events. Continued technological innovation subsequently prompted the introduction of special stamps, such as those for use with airmail, zeppelin mail, registered mail, certified mail, and so on.[citation needed] Postage due stamps were issued for some time and were pasted by the post office to letters having insufficient postage with the postage due to be paid to the postal carrier at the receiving address.

Today, stamps issued by the post office are self-adhesive, and no longer require that the stamps be "licked" to activate the glue on their back. In many cases, post office clerks now use Postal Value Indicators (PVI), which are computer labels, instead of stamps.[citation needed]

Where for a century-and-a-half or so, stamps were almost invariably denominated with their values (5 cent, 10 cent, etc.) the United States post office now sells non-denominated "forever" stamps for use on first-class and international mail.[3] These stamps are still valid even if there is a rate increase. However, for other uses, adhesive stamps with denomination indicators are still available and sold.

Answer:

2.3

Step-by-step explanation:

Is (2, 5) a solution to this system of equations? y = x + 3 y = 7x + 6

Answers

Answer:

No is not the solution to that system

Step-by-step explanation:

Help me and don't put wrong answer. 30 points.

Answers

Answer:

I believe this is a METAPHOR cause you cant really throw your voice as rope.

Answer:

House of Scorpion I know this one, It's a Metaphor. And if your looking for the rest of the answers go to quizziz House of scorpion final exam if you want all answers

Step-by-step explanation:

3(x-2)+7=2(x+5)
What is the answer to this please

Answers

Answer:

x=9

Step-by-step explanation:

distribute: 3x-6+7=2x+10

add like terms: 3x+1=2x+10

add the x's and the integers: x=9

Write your answer with no spaces and any fraction with “/“

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

Hi!

Disclaimer: Just for this response, I'm going to write it the same way you write a fraction out on paper just so it's easier to see.

First, you plot the two coordinates on the graph:

(0,0) and (2,1)

The formula for slope is [tex]\frac{y1 - y2}{x1 - x2}[/tex]

Now we plug in numbers accordingly:

[tex]\frac{0 - 1}{0 - 2}[/tex]

Simplify:

[tex]\frac{-1}{-2} \\[/tex]

Simplify:

[tex]\frac{1}{2}[/tex]

Let me know if you have any questions

can somebody please answer this equation
100,000 = y⁵ so y=​

Answers

Answer:

7500

Step-by-step explanation:

pls help this is due today whoever anders the most questions gets brainliest ​

Answers

Answer:

4. percent...........

Other Questions
What would u write in a THESIS for Piney Woods? GIVING BRAINLIST WHO EVER ANSWERS WITH PARAGRAPHS! Weekly Questions Write these sentences in Spanish1. She is tall and athletic.2. They are pretty nice.3. We (girls) are hardworking and intelligent.4.The boys are good looking.5. My mother (Mi madre) is very pretty.THAT, MOMENT WHEN6. What are you like?7. Tam 38 years old.8. They (females) like to go out.9. She likes to rest.10. We like to talk on the phone. these three questions hard asab What is mA.35B. 60C. 85D. 95 ayuda please es mi examen as the days after planting increases, the number of squash___ Most eukaryotic mRNAs are shorter than the genes that encode them. The reason for this is __________.A. that exons are spliced out of the hnRNAB. that introns are spliced out of the DNAC. that eukaryotic genes contain both introns and exonsD. the addition of the poly-A tail to the genomic DNA How did the collapse of communism in neighboring countries contribute to the fall of the Berlin Wall?People in East Berlin were inspired to push for change.People in West Berlin were willing to take military action.People in East Berlin were pressured to vote for new leaders.People in West Berlin were ready to compromise with the communists. I need help on number 8 How many molecules are in 97.21 grams of Sodium Chloride (NaCl)? i need the answers for this test please thank u Ancient Romans made many contributions to modern architecture.domelighthouseaqueductwatermill 6. A piece of cardboard is cut in an L-shape asshown below. Find the total area of thecardboardAm10m12m Outline 5 disadvantages of living immoral life plz answer correctly: 2. According to the text, why is segregation ill-advised?It will not be productive of good.b. It is unnecessary.It is unjust.d. All of the above. Which regions had major areas of copper mining? Please Listen to this, only if you can handle seriously scary things, they only get more intense. https://www.you tube.com/watch?v=nhkgXOUDetc&ab_channel=CorpseHusband PLS HELP WITH MY TESTTTT.... ITS INEQUALITIESSSSSSSSSSS Given the polynomial function below, find F(3).F(x) = 2x^3 - 7x+1A. -8B. -2C. 26D. 34