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faust18 [17]
3 years ago
12

Binomial expansion of(x^2-x)^9

Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

The Binomial Theorem is a quick way (okay, it's a less slow way) of expanding (or multiplying out) a binomial expression that has been raised to some (generally inconveniently large) power. For instance, the expression <span>(3x – 2)10</span><span> would be very painful to multiply out by hand. Thankfully, somebody figured out a formula for this expansion, and we can plug the binomial </span><span>3x – 2</span><span>and the power </span>10<span> into that formula to get that expanded (multiplied-out) form.</span>

The formal expression of the Binomial Theorem is as follows:

 

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Look at the picture as I can’t type the whole thing
bija089 [108]

Answer:

23.1 hours

Step-by-step explanation:

the mean is calculated as

mean = ∑ fx ÷ ∑ f

where x is the midpoint of the time intervals

0 < h ≤ 10 ⇒ x = 5

10 < h ≤ 20 ⇒ x = 15

20 < h ≤ 30 ⇒ x = 25

30 < h ≤ 40 ⇒ x = 35

then

∑ fx = (5 × 5) + (15 × 15) + (50 × 25) + (10 × 35)

       = 25 + 225 + 1250 + 350

       = 1850

∑ f = 5 + 15 + 50 + 10 = 80

then

mean = 1850 ÷ 80 ≈ 23.1 hours (to 1 dp )

8 0
2 years ago
A recipe needs ½ cup of flour for each ⅓ cup of sugar. How many cups of sugar are needed for each cup of flour? (YOU HAVE TO FIN
EleoNora [17]

Answer:

0.16... (repeated)

Step-by-step explanation:

If you want to know the whole thing it's 0.16666666666 but you should write it as 0.16... because it's repeated.

3 0
3 years ago
Laurague here is your answer:)
gayaneshka [121]
Got it :)Thank you!!!!!!!
3 0
3 years ago
7.RP.A.1 3. If 1 1/2 cups of something fills 2/3 of a container, how many cups fill the container? ​
Andreas93 [3]

Answer:

Hi there!

Your answer is:

2 & 1/4 <u>OR</u> 2.25 cups fills the container!

Step-by-step explanation:

If 1 & 1/2 (aka 3/2) fills 2/3 of the container, then:

we know that <em>half</em> of 3/2s fills 1/3 of the container

To find half of 3/2, we multiply 3/2 by the <em><u>inverse</u></em> of 2, which is 1/2.

3/2÷2

3/2×1/2 = 3/4 ths

Now that we know 3/4ths fills 1/3 of the container, we add that to 1& 1/2.

3/4+ 1&1/2 = 2 & 1/4

Check your work!

3/4 × 3 should equal 2&1/4 if we are correct

3/4 × 3/1 = 9/4.

Simplify!

9/4 = 2&1/4

That tells us that <u>we</u><u> </u><u>are</u><u> </u><u>correct</u><u>!</u>

Hope this helps!

3 0
3 years ago
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jekas [21]

Answer:

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4 0
3 years ago
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