Ask question

Ask question

All categories

3 years ago

14

20 points five stars a thank you, dont need to awnser first. i will repeat this question every 3 and a half minutes. ive got nin

e hundred points to burn

2 answers:

AleksandrR [38]3 years ago

7 0

Answer:

Thank you

Step-by-step explanation:

PolarNik [594]3 years ago

6 0

Answer:

Thank you

Step-by-step explanation:

You might be interested in

A triangle has sides with lengths of 5 meters, 12 meters, and 13 meters. Is it a right triangle?

Setler [38]

Answer:

yes :

use the following formula :

a^2 +b^2 = c^2

now apply it to the problem :

5^2+12^2=13^2

do the exponent :

25 + 144 =169

now add

169 =169

if they are equal , then it is a right triangle .

7 0

3 years ago

Tanikwa started a new exercise program using the indoor track. In her first workout she ran 8 laps for every 4 laps that she wal

Elina [12.6K]

Answer:

The correct answer would be 2:1

Step-by-step explanation:

In order to find this, start with the ratio as it is written and sub in the values. Then simplify to the lowest possible terms.

Ran:Walker

8:4

2:1

6 0

3 years ago

Solve using Fourier series.

Olin [163]

With $2L=\pi$ , the Fourier series expansion of $f(x)$ is

$\displaystyle f(x)\sim\frac{a_0}2+\sum_{n\ge1}a_n\cos\dfrac{n\pi x}L+\sum_{n\ge1}b_n\sin\dfrac{n\pi x}L$
$\displaystyle f(x)\sim\frac{a_0}2+\sum_{n\ge1}a_n\cos2nx+\sum_{n\ge1}b_n\sin2nx$

where the coefficients are obtained by computing

$\displaystyle a_0=\frac1L\int_0^{2L}f(x)\,\mathrm dx$
$\displaystyle a_0=\frac2\pi\int_0^\pi f(x)\,\mathrm dx$

$\displaystyle a_n=\frac1L\int_0^{2L}f(x)\cos\dfrac{n\pi x}L\,\mathrm dx$
$\displaystyle a_n=\frac2\pi\int_0^\pi f(x)\cos2nx\,\mathrm dx$

$\displaystyle b_n=\frac1L\int_0^{2L}f(x)\sin\dfrac{n\pi x}L\,\mathrm dx$
$\displaystyle b_n=\frac2\pi\int_0^\pi f(x)\sin2nx\,\mathrm dx$

You should end up with

$a_0=0$
$a_n=0$
(both due to the fact that $f(x)$ is odd)
$b_n=\dfrac1{3n}\left(2-\cos\dfrac{2n\pi}3-\cos\dfrac{4n\pi}3\right)$

Now the problem is that this expansion does not match the given one. As a matter of fact, since $f(x)$ is odd, there is no cosine series. So I'm starting to think this question is missing some initial details.

One possibility is that you're actually supposed to use the even extension of $f(x)$ , which is to say we're actually considering the function

$\varphi(x)=\begin{cases}\frac\pi3&\text{for }|x|\le\frac\pi3\\0&\text{for }\frac\pi3$

and enforcing a period of $2L=2\pi$ . Now, you should find that

$\varphi(x)\sim\dfrac2{\sqrt3}\left(\cos x-\dfrac{\cos5x}5+\dfrac{\cos7x}7-\dfrac{\cos11x}{11}+\cdots\right)$

The value of the sum can then be verified by choosing $x=0$ , which gives

$\varphi(0)=\dfrac\pi3=\dfrac2{\sqrt3}\left(1-\dfrac15+\dfrac17-\dfrac1{11}+\cdots\right)$
$\implies\dfrac\pi{2\sqrt3}=1-\dfrac15+\dfrac17-\dfrac1{11}+\cdots$

as required.

5 0

3 years ago

Solve<br> 6(x-3) + 10 = 2(4x-5)

Firdavs [7]

6x-8=8x-10 then 2=2x which means x=1

6 0

3 years ago

Read 2 more answers

marty has 1 1/3 jugs of apple juice. he uses 3/4 of the juice to make freeze pops. what fraction amount of a jus doe marty have?

Vedmedyk [2.9K]

Answer:

=2 $\frac{1}{12}$

Step-by-step explanation:

We have to make the fractions equal so we can add them

1 $\frac{1}{3}$ ×4= 1 $\frac{4}{12}$

$\frac{3}{4}$ ×3= $\frac{9}{12}$

1 $\frac{4}{12}$ + $\frac{9}{12}$ =2 $\frac{1}{12}$

5 0

3 years ago

Read 2 more answers