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cluponka [151]
2 years ago
9

4 tomatoes cost 3.4 what is the unit rate

Mathematics
2 answers:
choli [55]2 years ago
6 0
4\ tomatoes\ :\ 3.40\ dollars

Divide each side by 4 (division property of equality lets us do this) to find the price of one tomato.

1\ tomato\ :\ \boxed{0.85\ dollars} (85 cents)
jekas [21]2 years ago
4 0
Look at the pic. It explains it.

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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
What 9+1 please answer ​
Lunna [17]

Answer:

10

Step-by-step explanation:

6 0
3 years ago
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Write in mathematical symbols<br><br> 20 less than three times the width 3
lesantik [10]
3w-20 is the answer for it
8 0
3 years ago
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5xy-x2t+2xy+3x2t asap
wel
Simplified answer is: 7xy+4tx
4 0
3 years ago
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there are 267 students and 21 adults goin on a school trip. an equal number of people will ride on each bus. if there are 9 buse
Hunter-Best [27]
267+21 = 288
288/9 = 32

the answer is 32 people will ride on each bus
4 0
3 years ago
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