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pishuonlain [190]
3 years ago
11

There are three different recipes. Two taste the same.

Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Answer:

Mixture 1 and 2

Step-by-step explanation:

4/6 = 2/3

6/9= 2/3

9/12 = 3/4 NOT THE SAME

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What is 8.9 divided by 0.62
Solnce55 [7]
14.35 is Ur answer to Ur Division
3 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
Latesha buys some tennis balls at $1 each and rackets at $12 each for her PE class. She buys twice as many balls as rackets. She
marysya [2.9K]
I would go with A it makes most sense to me .
3 0
3 years ago
Question 8 Maurice won 40% of the races he ran in this season. He won 14 races this season How many races did Maurice run in tot
Andrej [43]

Answer:

D)35

Step-by-step explanation:

14%4=3.5

3.5×10=35

6 0
2 years ago
Solve: (a + 11)9 <br><br>plz help ill give the first person brainliest i need it in 10 minutes
ser-zykov [4K]

\\ \tt\longmapsto 9(a+11)

Apply distributive law

  • a(b+c)=ab+ac

\\ \tt\longmapsto 9a+9(11)

\\ \tt\longmapsto 9a+99

8 0
2 years ago
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