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3 years ago

Find the tenth term in the sequence

Mathematics

1 answer:

attashe74 [19]3 years ago

4 0

Answer: The tenth term in the sequence is 512.

Step-by-step explanation:

Since we have given that

$a_n=2^{n-1}$

We need to find the tenth term:

It means n = 10

So, it becomes

$a_{10}=2^{10-1}\\\\a_{10}=2^9\\\\a_{10}=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\\\\a_{10}=512$

Hence, the tenth term in the sequence is 512.

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Help asap please i will you give you brainlist

ivann1987 [24]

Answer:

103

Step-by-step explanation:

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3 years ago

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PLZ I REALLY NEED HELP/ i'll give brainlist and 100 points PLZZZZZ

andrew11 [14]

Answer:

Question 1: Answer would be A.

Question 2: Answer would be B.

Question 3: I cannot answer this one because an image is not provided. I do not have the image of the original triangle LMN. If you message me with a photo of this question, I will be able to answer.

Question 4: This answer may be wrong, but I believe that it would be A. I don't know how to calculate dilation transformations, but after graphing out all the points, I found that (6,4) would be the correct point because the distance between Point S and (6,4) is even and is able to be divided by two.

Question 5: Again, I cannot answer this one because an image is provided. Message me with a photo, I'll answer.

Question 6: Answer would be C.

Question 7: Again, I cannot answer this one because an image is provided. Message me with a photo, I'll answer.

Question 8: Answer would be C.

Step-by-step explanation:

Question 1 Explanation: Answer would be A because the quadrilateral was rotated 180 degrees and dilated to be larger.

Question 2 Explanation: Quadrant IV is on the bottom right, Quadrant I is on the top right. If a triangle were to be rotated from the origin (0,0), it would have to rotate 270 degrees in order to reach Quadrant I.

Question 3 Explanation:

Question 4 Explanation:

Question 5 Explanation:

Question 6 Explanation: Using a rotation calculator, I input the degree of rotation as -90.

Question 7 Explanation:

Question 8 Explanation: Using a rotation calculator, I input the degree of rotation as -180.

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3 years ago

Which fraction is equivalent to 38%?<br> 3/8<br> 9/25<br> 19/50<br> 3 4\5

KonstantinChe [14]

In order to find a fraction, We know that a percentage is out of a 100. This means we can now place our fraction as:

38/100

In order to find the actual fraction, we will want to simplify. Lets find our least common factor and work down from there. Since we know that 2 can go into both of them, lets reduce by 2.

This means our fraction will now look like:

19/50

Since 19 is a prime number and cannot be divided by anything but 1 and itself, we know that this is our simplified form.

This means:

19/50 is the fraction equivalent to 38%.

5 0

3 years ago

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Can I get help with finding the Fourier cosine series of F(x) = x - x^2

trapecia [35]

Assuming you want the cosine series expansion over an arbitrary symmetric interval $[-L,L]$ , $L\neq0$ , the cosine series is given by

$f_C(x)=\dfrac{a_0}2+\displaystyle\sum_{n\ge1}a_n\cos nx$

You have

$a_0=\displaystyle\frac1L\int_{-L}^Lf(x)\,\mathrm dx$
$a_0=\dfrac1L\left(\dfrac{x^2}2-\dfrac{x^3}3\right)\bigg|_{x=-L}^{x=L}$
$a_0=\dfrac1L\left(\left(\dfrac{L^2}2-\dfrac{L^3}3\right)-\left(\dfrac{(-L)^2}2-\dfrac{(-L)^3}3\right)\right)$
$a_0=-\dfrac{2L^2}3$

$a_n=\displaystyle\frac1L\int_{-L}^Lf(x)\cos nx\,\mathrm dx$

Two successive rounds of integration by parts (I leave the details to you) gives an antiderivative of

$\displaystyle\int(x-x^2)\cos nx\,\mathrm dx=\frac{(1-2x)\cos nx}{n^2}-\dfrac{(2+n^2x-n^2x^2)\sin nx}{n^3}$

and so

$a_n=-\dfrac{4L\cos nL}{n^2}+\dfrac{(4-2n^2L^2)\sin nL}{n^3}$

So the cosine series for $f(x)$ periodic over an interval $[-L,L]$ is

$f_C(x)=-\dfrac{L^2}3+\displaystyle\sum_{n\ge1}\left(-\dfrac{4L\cos nL}{n^2L}+\dfrac{(4-2n^2L^2)\sin nL}{n^3L}\right)\cos nx$

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3 years ago

Find the slope of (1,8) and (-1,-4)

aniked [119]

Answer: slope= 6

Slope intercept equation= y= 6x +2

Step-by-step explanation:

Slope formula: (y2 - y1) ÷ (x2 - x1) > (-4-8) ÷ (-1-1) = -12/-2 or 6

Plug slope (-6) and one coordinate into point slope form: y-1=m (x-1)

where m is slope and (1,8) would be (x,y)

Y-8= 6(x-1) > y-8 = 5x -6 > y= 6x +2

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3 years ago