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timurjin [86]
3 years ago
11

Which of the following is the expansion of (2m - n)7?

Mathematics
2 answers:
stealth61 [152]3 years ago
6 0
<span>(2m - n)</span>⁷ can be expanded using the binomial theorem or pascal's triangle, but writing out the work is proving to be really difficult. the application of the theorem is pretty complicated and it isn't easy to format in this textbox.

the expansion of this would be 128m⁷ - 448m⁶n + 672m⁵n² - 560m⁴n³ + 280m³n⁴ - 84m²n⁵ + 14mn⁶ - n⁷. let me know if you're genuinely lost on how to find it and i'll give a written explanation a shot, but i'd really, really encourage you to refer back to your notes if you took any in class (or the lesson, if it's an online class) and see if you can find anything which explains the binomial theorem or pascal's triangle. both of those will help you immensely.
lukranit [14]3 years ago
3 0

Answer:

Step-by-step explanation:

Given is an algebraic term 2m-n raised to power 7.

We can use binomial theorem to expand this.

Binomial theorem says that

(x+a)^n = x^n+nax^{n-1} +...nCrx^{n-r} a^{r} +...+a^n

Here we have I term as 2m and II term = -n

Hence applying the formula for n =7

we have

(2m-n)^7 = (2m)^7+7(2m)^6(-n)+7C2(2m)^5(-n)^2+7C3(2m)^4(-n)^3+7c4(2m)^3(-n)^4+7C5(2m)^2(-n)^5+7C6(2m)^1(-n)^6+(-n)^7\\=128m^7-448m^6n+672m^5n^2-560m^4n^3+280m^3n^4-84m^2n^5+14mn^6-n^7

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Answer:

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Step-by-step explanation:


3 0
3 years ago
The no. Of adel beads to that of claire's beads was the ratio 7 :4 .When adel gave 68 beads to claire the ratio become 25 :41 .
Novosadov [1.4K]

Answer:

37 beads

Step-by-step explanation:

Given that:

Adel : Claire = 7 : 4

Let Adel be = A;  &

Let Claire be = C

A: C = 7 : 4

\dfrac{A}{C} =\dfrac{7}{4}

7C = 4A

C = \dfrac{4A}{7} --- (1)

When Adel gave 68 beads to claire, we have:

C + 68 = 25:41

\dfrac{A}{C+68}= \dfrac{25}{41}

25(C + 68) = 41A

C + 68 = \dfrac{41}{25}A

C = \dfrac{41}{25}A - 68 --- (2)

Equating (1) and (2) together;

\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68

\dfrac{4 * A}{7}-\dfrac{41 *A}{25} =  - 68

\dfrac{100A - 287 A}{175} =- 68

\dfrac{-187A}{175} = -68

- 187 A = 175 × (-68)

-187 A = - 11900

A = - 11900/ -187

A ≅ 64

From; C = \dfrac{4A}{7}

C = \dfrac{4*64}{7}

C = 36.57

C ≅ 37 beads

4 0
3 years ago
Given each of the following areas, what would be the radius of each circle? a. A = 530.66 m2 b. A = 907.46 sq. ft. c. A = 379.94
ra1l [238]
Area for a circle is A= \pi r^2.  We will fill in each area and then solve for the radius.  530.66m^2= \pi r^2 and \frac{530.66m^2}{3.14}=r^2.  ∴169=r^2 and r = 13.  For b, 907.46ft^2= \pi r^2 and \frac{907.46ft^2}{3.14}=r^2.  289=r^2, ∴ r = 17.  For c, 379.94mi^2= \pi r^2, and \frac{379.94mi^2}{3.14}=r^2.  ∴, 121=r^2 and r = 11.  For d, 1962.5cm^2= \pi r^2, and \frac{1962.5cm^2}{3.14}=r^2.  ∴, 625=r^2 so r = 25.  And there you have it!
3 0
3 years ago
A clothing manufacturer produces 120 garments per hour, of which 5 are damaged. How many garments without damage would the manuf
sp2606 [1]

Answer:

<h2>Step-by-step explanation:</h2>

First we have to found all the clothes that the manufacturer produces in 8 hours,

As given    120 clothes = produce in 1 hour

                  X clothes  = produce in 8 hour

By cross multiplication, we get

X= 120*8

X= 960  total clothes produced in 8 hours

As also given that in each hour 5 clothes damaged ,so we can write as

 5 clothes = damaged in 1 hour

Y clothes = Damaged in 8 hour

By cross multiplication we get

Y=  40 clothes damaged in 8 hour

So the total clothes that manufacturer produce with out damage clothe will be ,

Total normal clothes = X-Y   = 960 - 40  = 920 clothes

3 0
2 years ago
Tras una rebaja del 8%, un pantalón cuesta 17,28 euros. ¿Cuál era su precio inicial?
Sholpan [36]

Answer:

18.78

Step-by-step explanation:

x*(100%-8%)=17.28

x=18.78

3 0
2 years ago
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