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3 years ago

5

PLEASE PLEASE PLEASE HELP WILL GIVE BRAINLIEST 2/5 x + -6 + 7/15 x

2 answers:

Klio2033 [76]3 years ago

5 0

Answer:

13x/15-6

Step-by-step explanation:

i used symlobab

iogann1982 [59]3 years ago

3 0

Answer:

13x-90/15

Step-by-step explanation:

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Help Please! I'll rate you the best!

denis23 [38]

Answer: 96 cubes could fit

Step-by-step explanation:

4x4x3=48

48x2=96

3 0

3 years ago

Use the power series for 1 1−x to find a power series representation of f(x) = ln(1−x). What is the radius of convergence? (Note

Viktor [21]

a. Recall that

$\displaystyle\int\frac{\mathrm dx}{1-x}=-\ln|1-x|+C$

For $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

By integrating both sides, we get

$\displaystyle-\ln(1-x)=C+\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

If $x=0$ , then

$\displaystyle-\ln1=C+\sum_{n=0}^\infty\frac{0^{n+1}}{n+1}\implies 0=C+0\implies C=0$

so that

$\displaystyle\ln(1-x)=-\sum_{n=0}^\infty\frac{x^{n+1}}{n+1}$

We can shift the index to simplify the sum slightly.

$\displaystyle\ln(1-x)=-\sum_{n=1}^\infty\frac{x^n}n$

b. The power series for $x\ln(1-x)$ can be obtained simply by multiplying both sides of the series above by $x$ .

$\displaystyle x\ln(1-x)=-\sum_{n=1}^\infty\frac{x^{n+1}}n$

c. We have

$\ln2=-\dfrac\ln12=-\ln\left(1-\dfrac12\right)$

$\displaystyle\implies\ln2=\sum_{n=1}^\infty\frac1{n2^n}$

4 0

3 years ago

What is the value of the expression below when x equals 3?<br><br> 17 + 11x

Rom4ik [11]

Answer:

50

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Round to the nearest integer 31.4829

Lady_Fox [76]

9514 1404 393

Answer:

31

Step-by-step explanation:

The fractional part of the given number is 0.4829, which is less than 0.5. That means the nearest integer is the integer below the given number:

31

8 0

3 years ago

Calculate the sample standard deviation of data from Question 1<br> 76,45,64,80,92

mash [69]

Answer:

$S.D = 15.98$

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

$Mean = \frac {\sum x}{n}$

Where x-> 76,45,64,80,92 and n = 5

$Mean = \frac {76+45+64+80+92}{5}$

$Mean = \frac{357}{5}$

$Mean = 71.4$

Subtract Mean (71.4) from each of the given data

$76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6$

Determine the absolute value of the above result

$|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6$

Square Individual Result

$4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36$

Calculate the mean of the above result to give the variance

$Mean = \frac {\sum x}{n}$

$Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298$

Hence, Variance = 255.298

Standard Deviation is calculated by $\sqrt{Var}$

$SD = \sqrt{255.298}$

$S.D = 15.9780474402$

$S.D = 15.98 (Approximated)$

6 0

3 years ago