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3 years ago

Why is it important to write numbers in different ways

1 answer:

5 0

Do you mean like you cant close your 4 because teachers may think its a nine? Or different ways like written, numeraly and all that?

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Find a power series representation for the function. (Assume a>0. Give your power series representation centered at x=0 .)

melamori03 [73]

Answer:

Step-by-step explanation:

Given that:

$f_x = \dfrac{x^2}{a^7-x^7}$

$= \dfrac{x^2}{a^7(1-\dfrac{x^7}{a^7})}$

$= \dfrac{x^2}{a^7}\Big(1-\dfrac{x^7}{a^7} \Big)^{-1}$

since $\Big((1-x)^{-1}= 1+x+x^2+x^3+...=\sum \limits ^{\infty}_{n=0}x^n\Big)$

Then, it implies that:

$\implies \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\Big(\dfrac{x}{a} \Big)^{^7} \Big)^n$

$= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x}{a} \Big)^{^{7n}}$

$= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x^{7n}}{a^{7n}} \Big)}$

$\mathbf{= \sum \limits ^{\infty}_{n=0} \dfrac{x^{7n+2}}{a^{7n+7}} }}$

7 0

2 years ago

Adult entrance fees to amusement parks in the United States are normally distributed with a population standard deviation of 2.5

kondor19780726 [428]

Answer: 1.509

Step-by-step explanation:

The formula of Margin of Error for (n<30):-

$E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 22

Level of confidence = 0.99

Significance level : $\alpha=1-0.99=0.01$

Using the t-distribution table ,

Critical value : $t_{n-1, \alpha/2}=t_{21,0.005}= 2.831$

Standard deviation: $\sigma=\text{ 2.5 dollars }$

Then, we have

$E=( 2.831)\dfrac{2.5}{\sqrt{22}}\approx1.509$

Hence, the margin of error for a 99% confidence interval for the population mean =1.509

4 0

3 years ago

16. (it’s a triangle)<br> x<br> x + 4<br> X-1<br> x + 2<br> what is x?

grigory [225]

Answer:

im sorry i don't know the answer i just need to do this so that i can ask my question pls forgive me

6 0

3 years ago

Find a rational number halfway between 7/8 and 6/7

algol [13]

<h3>Answer: 97/112</h3>

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How to get this answer:

Midpoint formula: (A+B)/2 = C

A and B are the endpoints with C as the midpoint

A = 7/8

B = 6/7

A+B = 7/8 + 6/7

A+B = 49/56 + 48/56

A+B = (49+48)/56

A+B = 97/56

(A+B)/2 = (97/56) divided by 2

(A+B)/2 = (97/56) times (1/2)

(A+B)/2 = (97*1)/(56*2)

(A+B)/2 = 97/112

8 0

3 years ago

Hassan's backyard swimming pool is 30 feet long, 20 feet wide, and 5 feet deep. there are 7.5 gallons of water in 1 cubic foot.

cricket20 [7]

Find how many cubic feet
cubic feet=length times width times height for rectangle prism

volume=30 times 20 times 5=3000 cubic feet

7.5 per 1 cubic feet
times 3000
22500 gallons

3 0

3 years ago