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2 years ago

THIS IS 6TH GRADE please help me! thanks

Mathematics

2 answers:

Stella [2.4K]2 years ago

8 0

Answer:

Step-by-step explanation:

Y_Kistochka [10]2 years ago

4 0

Answer:

Step-by-step explanation:

-7,13

You set the equation in two cases

1) x-3=10

2) x-3=-10

than you solve.

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Jonathan bought a calculator for X$. Cindy bought the same calculator for 3 times more than Jonathan paid for his calculator. Wh

Andrej [43]

Answer:

3x or 3*x

Step-by-step explanation:

5 0

2 years ago

Find the Fourier series of f on the given interval. f(x) = 1, ?7 < x < 0 1 + x, 0 ? x < 7

Zolol [24]

$f(x)=\begin{cases}1&\text{for }-7$

The Fourier series expansion of $f(x)$ is given by

$\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos\frac{n\pi x}7+\sum_{n\ge1}b_n\sin\frac{n\pi x}7$

where we have

$a_0=\displaystyle\frac17\int_{-7}^7f(x)\,\mathrm dx$
$a_0=\displaystyle\frac17\left(\int_{-7}^0\mathrm dx+\int_0^7(1+x)\,\mathrm dx\right)$
$a_0=\dfrac{7+\frac{63}2}7=\dfrac{11}2$

The coefficients of the cosine series are

$a_n=\displaystyle\frac17\int_{-7}^7f(x)\cos\dfrac{n\pi x}7\,\mathrm dx$
$a_n=\displaystyle\frac17\left(\int_{-7}^0\cos\frac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\cos\frac{n\pi x}7\,\mathrm dx\right)$
$a_n=\dfrac{9\sin n\pi}{n\pi}+\dfrac{7\cos n\pi-7}{n^2\pi^2}$
$a_n=\dfrac{7(-1)^n-7}{n^2\pi^2}$

When $n$ is even, the numerator vanishes, so we consider odd $n$ , i.e. $n=2k-1$ for $k\in\mathbb N$ , leaving us with

$a_n=a_{2k-1}=\dfrac{7(-1)-7}{(2k-1)^2\pi^2}=-\dfrac{14}{(2k-1)^2\pi^2}$

Meanwhile, the coefficients of the sine series are given by

$b_n=\displaystyle\frac17\int_{-7}^7f(x)\sin\dfrac{n\pi x}7\,\mathrm dx$
$b_n=\displaystyle\frac17\left(\int_{-7}^0\sin\dfrac{n\pi x}7\,\mathrm dx+\int_0^7(1+x)\sin\dfrac{n\pi x}7\,\mathrm dx\right)$
$b_n=-\dfrac{7\cos n\pi}{n\pi}+\dfrac{7\sin n\pi}{n^2\pi^2}$
$b_n=\dfrac{7(-1)^{n+1}}{n\pi}$

So the Fourier series expansion for $f(x)$ is

$f(x)\sim\dfrac{11}4-\dfrac{14}{\pi^2}\displaystyle\sum_{n\ge1}\frac1{(2n-1)^2}\cos\frac{(2n-1)\pi x}7+\frac7\pi\sum_{n\ge1}\frac{(-1)^{n+1}}n\sin\frac{n\pi x}7$

3 0

2 years ago

5. Area = 36cm<br>HM = 12 cm<br>OE = x

Tpy6a [65]

Answer:

I'm going to guess and say that if HM is one side and OE is the other side of a rectangle, then:

OE = 3 cm

Step-by-step explanation:

36/12 = 3 cm

7 0

2 years ago

Read 2 more answers

Pls answer me ill give points and brainlest

Elodia [21]

Answer:

Sorry is there any more information i will then change answer

Step-by-step explanation:

7 0

2 years ago

Hi I need help with this

ch4aika [34]

Answer:

well this is going to be long, but

1. 0.625

2. -0.136

3. 1.222

4. -5.075

5. -7.455

6. 4.067

7. -9.111

8. -7.833

9. 17/25

10. -1/100

11. -3 99/100

12. 8 149/200

13. 3 1/200

14. -13 3/250

15. -9 49/50

16. -10 113/250

17. your friends snapper is larger, 1320/156 > 1313/156

18. 0.13 > 1/8

19. -1 2/9 < 5/4

20. -5.175 < -5 1/6

21 -1 1/2 = -1.5, - 1 7/9 = -1.777777....

Step-by-step explanation:

sorry i didnt know which question you needed help on so i did it all, hope this helped you!! have a great day

4 0

2 years ago

THIS IS 6TH GRADE please help me! thanks​

THIS IS 6TH GRADE please help me! thanks