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NikAS [45]
3 years ago
9

17 > " align="absmiddle" class="latex-formula">
es la repuesta
8×2 8​
Mathematics
1 answer:
trapecia [35]3 years ago
4 0

Answer:

Step-by-step explanation:

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Find the first 4 terms in the expansion of ( 1 + x 2 ) 8. Use your answer to find the value of ( 1.01 ) 8
anyanavicka [17]

(1+x^2)^8

=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)

=1+8x^2+28x^4+56x^6+70x^8+....)

For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.

1.01=(1+0.1^2) => x=0.1 in the above expansion

(1.01)^8

=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]

=1+0.08+0.0028+0.000056 (+0.00000070)

=1.082856 (approximately)

7 0
3 years ago
I'm so confused please helpppppppp<br><br> How is C correct please show your work
777dan777 [17]

Answer:

Step-by-step explanation:

She makes $325 a week, so go to the 8th row, for weekly income of $300 to $400.  She claims 2 exemptions, so go to the third column labeled 2.  The value is 2.  That means the $2 is withheld from her paycheck on top of the 6.25% for FICA.  The total is therefore:

$2 + (0.0625) ($325)

$22.3125

Rounded to the nearest cent, that's $22.31.

3 0
3 years ago
80 points! Look at pic attached. I will mark brainiest if you explain your reasoning good. Random answers will be reported.
gregori [183]

Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:

1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.

2) Squares and rectangles are NOT similar.* Referring to the first point I listed, if the shapes are not similar, then a similarity transformation cannot be used to turn one shape into another.

<em>*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.</em>

I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)

7 0
3 years ago
What divisor is represented by the synthetic division below?  –5 5 x + 5 x – 5
Tju [1.3M]
For this case, the dividend is given by:
 2x ^ 3 + 10x ^ 2 + x + 5&#10;
 We note that the following numbers:
 2, 10, 1, 5
 They are the coefficients of the polynomial and they are in the upper part of the division.
 The number -5 is the opposite value of the divisor constant.
 Therefore, the divisor is given by:
 x + 5
 Answer:
 
The divisor is:
 
x + 5
4 0
3 years ago
Read 2 more answers
You invest 4,100 in an account that pays an interest rate of 7.25% ,compounded continuously. Calculate the balance of your accou
levacccp [35]
\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}&#10;\\\\&#10;A=Pe^{rt}\qquad &#10;\begin{cases}&#10;A=\textit{accumulated amount}\\&#10;P=\textit{original amount deposited}\to& \$4100\\&#10;r=rate\to 7.25\%\to \frac{7.25}{100}\to &0.0725\\&#10;t=years\to &8&#10;\end{cases}&#10;\\\\\\&#10;A=4100e^{0.0725\cdot 8}\implies A=4100e^{0.58}\implies A\approx 7322.757566075
8 0
3 years ago
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