(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)
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.
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. :)
For this case, the dividend is given by:

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