The answer would be (A) <span>(x − 4)^2 + (y − 4)^2 = 16
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Answer:
Yes: the variable K would equal "6"
Step-by-step explanation:
After you set you equation up, you have to isolate the given variable. To do that you have to do the recipriocal (6k-multiplying) which would be division. You would divide k = 36 ÷ 6 . that isolates the variable ,which you would then solve. k = 6 .
Answer:
She paid back $192 in interest
Step-by-step explanation:
A = P(1+r)^n
P = $1,200
r = 10.5% = 0.105
n = 18 months = 18/12 = 1.5 years
A = 1,200(1+0.105)^1.5 = 1,200(1.105)^1.5 = 1,200×1.16 = 1,392
Amount = $1,392
Principal = $1,200
Interest = amount - principal = $1,392 - $1,200 = $192
Answer:
The interval of convergence is:
Step-by-step explanation:
Given
The geometric series centered at c is of the form:
Where:
first term
common ratio
We have to write
In the following form:
So, we have:
Rewrite as:
Factorize
Open bracket
Rewrite as:
Collect like terms
Take LCM
So, we have:
By comparison with:
At c = 6, we have:
Take LCM
r = -\frac{1}{3}(x + \frac{11}{3}+6-6)
So, the power series becomes:
Substitute 1 for a
Substitute the expression for r
Expand
![\frac{9}{3x + 2} = \sum\limits^{\infty}_{n=0}[(-\frac{1}{3})^n* (x - \frac{7}{3})^n]](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B3x%20%2B%202%7D%20%3D%20%20%5Csum%5Climits%5E%7B%5Cinfty%7D_%7Bn%3D0%7D%5B%28-%5Cfrac%7B1%7D%7B3%7D%29%5En%2A%20%28x%20-%20%5Cfrac%7B7%7D%7B3%7D%29%5En%5D)
Further expand:
The power series converges when:
Multiply both sides by 3
Expand the absolute inequality
Solve for x
Take LCM
The interval of convergence is:
The area would be 63.The steps to how I got that anwser:
1.] Write your formula
A=bh
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2
2.]Begin by plugging in your measurements
A=7.5 times 16.8
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2
3.]Multiply the top two numbers together
A=126
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2
4.]Divide to get your final anwser
A=63
