Which is the better buy? 50 fl oz of detergent for $2.49 or <br> 32 fl oz of detergent for $1.99

Round 8.54951607694 to 6 decimal places.

Ratling [72]

Answer:

8·549516

Step-by-step explanation:

To round the number given to 6 decimal place, we will follow the steps below;

First count six digits after the decimal point

Then after the six digit number take the next number and see if it below 5 then this means you will be rounding down, so you will leave your six digit after the decimal points the way they are and discard the other digits after the the six digits, but if the digit number right after the sixth digit is 5 and above, then you will be rounding up, you will add one to your sixth digit and then discard the digits after the sixth digits.

That is;

In the number given: 8.54951607694

The sixth digit after the decimal point is 6, the number that comes after it is zero, so we will leave the 6 the way it is and discard the other digits after 6

8.54951607694 ≈ 8·549516 to 6 decimal place

4 0

3 years ago

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

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

4 0

3 years ago

Select all of the quotients that have the same value as 5.04 divided by 7

defon

Answer: 2 and 4

Step-by-step explanation: the quick way is by dividing all the answer options

6 0

3 years ago

What value of x is in the solution set of 2x – 3 > 11 – 5x?

Alla [95]

2x-3>11-5x

Simplify both sides of the equation

2x-3>-5x+11

Add 5x to both sides

2x-3+5x>-5x+11+5x

7x-3>11

Add 3 to both sides

7x-3+3>11+3

7x>14

Divide both sides by 7

7x/7>14/7

x>2

I hope that's help !

5 0

3 years ago

Read 2 more answers

A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the number of parrots at the zoo? A 1 : 4 B 1

kap26 [50]

Answer:

1:4

Step-by-step explanation:

1:4 Answer:1:4Step-by-step explanation:A ratio can be written like this: 15:60, but it can also be written as the fraction 15/60, which can be simplified to 1/4, or… ... A zoo has 15 toucans and 60 parrots. what is the ratio of the Number of toucans ... 4.9/5. 19. jupiterbhanot. Beginner. 5 answers. 51 people helped ...

Hope This Help!!

7 0

3 years ago

Read 2 more answers

Which is the better buy? 50 fl oz of detergent for $2.49 or 32 fl oz of detergent for $1.99