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Katarina [22]
3 years ago
5

Apply the Binomial Theorem to the expression (x^2+1)^2

Mathematics
2 answers:
timurjin [86]3 years ago
8 0

Answer:

x^4 + 2x^2 + 1

Step-by-step explanation:

Using Pascal's Triangle, we end up with the following set of coefficients in a triangular form:

        1

 1      2     1

The coefficients 1, 2 and 1 are used as follows:

1(x^2)^2 + 2(x^2) + 1(1)^2, or

x^4 + 2x^2 + 1

Therefore the given expression (x^2+1)^2 is equivalent to the expanded form x^4 + 2x^2 + 1 .

KiRa [710]3 years ago
6 0

Answer:

Step-by-step explanation:

(x^2 +1)(x^2 +1)

x^4 +x^2+x^2 +1

x^4+2x^2 +1 answer

Hope this helps!

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I need helps with this question ASAP
photoshop1234 [79]

Answer:

1. At Kohls Mrs. House would pay $45.00 because %25 = $15 so I just subtracted %.60.00-$15.00.

2.((Number × Percent/100)) + Number

((38 × 15/100)) + 38

5.7 + 38

= 43.7

3. I say that Mrs. House should go-to target. And just by $1.30.

At Kohls, the speaker would be at $45.00.

At target, the speaker would be at $43.70.

$45.00 - $43.70 = $1.30

Step-by-step explanation:

6 0
2 years ago
One package of blueberries costs $3.<br>How many packages of blueberries can<br>you buy with $12?​
Pachacha [2.7K]

Answer:

4

Step-by-step explanation:

Because 3×4=12

5 0
3 years ago
Read 2 more answers
Crop researchers plant 15 plots with a new variety of corn. The yields in bushels per acre are: 138.0 139.1 113.0 132.5 140.7 10
son4ous [18]
There is a relationship between confidence interval and standard deviation:
\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}
Where \overline{x} is the mean, \sigma is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first: 
\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}
When we do all the calculations we find that:
\overline{x}=123.8\\ \sigma=11.84
Now we can find confidence intervals:
($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
6 0
3 years ago
Evaluate (-27)^-4/3 ((-27 to the power of -4/3))
masha68 [24]

Answer:

-1/81

Step-by-step explanation:

-27^-4/3

cbrt(-27^-4)

cbrt(-1/531441)

-1/81

5 0
3 years ago
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I WILLL GIVEE BRAINLIESTTTT
BARSIC [14]

Answer: A

Step-by-step explanation:

3 0
2 years ago
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