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VARVARA [1.3K]
2 years ago
13

Multiply. Write your answer as a fraction in simplest form. 8 X 9

Mathematics
1 answer:
Kamila [148]2 years ago
6 0

Answer:

40/54 = 20/27

Step-by-step explanation:

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I really help and an explanation for this. It is due today :)
n200080 [17]

Answer:

the first one is correct

it represents 37. which is the ideal weight.

yes you can write another equation

Step-by-step explanation:

the equation is, 44 - 7 = x

7 0
3 years ago
Eight balls numbered from 1 to 8 are placed in an urn. One ball is selected at random. Find the probability that it is
elena-14-01-66 [18.8K]

Answer:

\frac{7}{8}

Step-by-step explanation:

6 0
3 years ago
What is the intermediate step in the form (x+a)^2=b as a result of completing the following equation? Please help.
aksik [14]

Answer:

(x+8) ^2=64

Step-by-step explanation:

that will give you your two solutions: x= -16 and x=0. I hope this helps!!!

8 0
2 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
Can someone help me,it would be appreciated.Thanks!!! :D
Ierofanga [76]

The number of pieces of 1/3 foot tall to make a 6 feet skyscraper is 18 pieces.

The model of a skyscraper comes in pieces and each piece is 1/3 feet tall.

After all the pieces are put together the skyscraper is 6 feet tall.

We have to calculate how many pieces were put together to make the 6 feet skyscraper.

Let X be the number of pieces put together to make a 6 feet skyscraper.

Now,

Each piece = 1/3 feet tall.

Since all the pieces together make 6 feet tall, we can write the number of pieces needed to make 6 feet tall as:

X x (1/3) = 6

X = 6 x 3 = 18

Thus, we need 18 pieces of 1/3 foot tall to make a 6 feet skyscraper.

Learn more about multiplication word problems here:

brainly.com/question/4686237

#SPJ1

7 0
9 months ago
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