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cupoosta [38]
3 years ago
8

How do you know that the absolute value of -|-9| is equal to -9?

Mathematics
1 answer:
mezya [45]3 years ago
8 0

Step-by-step explanation:

b/c -|9|

first we will out the number from absolut value

then it will give as -9

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Use a known maclaurin series to obtain the maclaurin series for the given function. f(x = 8x2 tan?1(7x3
11Alexandr11 [23.1K]
Going out on a limb here and guessing that the function is

f(x)=8x^2\tan^{-1}(7x^3)

Please correct me if this isn't the case.

Recall that

\tan^{-1}x=\displaystyle\sum_{n\ge0}\frac{(-1)^nx^{2n+1}}{2n+1}

which converges for |x|.

It follows that

8x^2\tan^{-1}(7x^3)=8x^2\displaystyle\sum_{n\ge0}\frac{(-1)^n(7x^3)^{2n+1}}{2n+1}
=\displaystyle\sum_{n\ge0}\frac{56(-49)^nx^{6n+3}}{2n+1}
6 0
3 years ago
We are given arc KL is 12x+4, arc KJ is 8x-6, and angle E is 99 degrees. What is the actual degree measure of arc KJ? *
Goryan [66]

Answer:

I think its 20x - 2 because when u are given KJ or KL we need the measurement of x

4 0
2 years ago
A number increased by 5 is less than or equal to 26
blagie [28]

Answer:

Equation: x + 5 ≤ 26

Solved: x ≤ 21

3 0
3 years ago
20 Points! Which ordered pair is the best estimate for the solution of the system of equations?
yan [13]

Answer:

The best estimate for the solution is the ordered pair  (-6.5,-3.5)

Step-by-step explanation:

we have

y=\frac{3}{2}x+6 ------> equation A

y=\frac{1}{4}x-2 ------> equation B

we know that

using a graphing tool, the solution of the system of equations is the intersection point both graphs

The intersection point is (-6.4,-3.6)

therefore

The best estimate for the solution is the ordered pair  (-6.5,-3.5)

3 0
2 years ago
If Samantha can pay off her loan in 36 months at a 10% interest rate rather than in 48 months at a 12% interest rate, how much m
Ymorist [56]
Hi there
The simple interest formula is
I=prt
I interest changes
P amount of the loan 6000
R interest rate
T time( number of months/12 months)

The interest in 36 months at a 10%
I=6,000×0.1×(36÷12)=1,800
The interest in 48 months at a 12%
6,000×0.12×(48÷12)=2,880
she will save
2,880−1,800=1,080

Good luck!
7 0
3 years ago
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