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3 years ago

A 2-liter bottle of soda costs $1.98.How much does it cost per liter

Mathematics

2 answers:

anzhelika [568]3 years ago

7 0

2 L = $1.98

1L = 1.98 / 2

1l = $0.99

frozen [14]3 years ago

5 0

Answer:

$0.99

Step-by-step explanation:

2 L costs $1.98

so all we have to do is divide it by 2 to find out 1 L.

$1.98 divided by 2 is $0.99.

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Find the radius of convergence, r, of the series. ∞ xn 2n − 1 n = 1 r = 1 find the interval, i, of convergence of the series. (e

Bingel [31]

Assuming the series is

$\displaystyle\sum_{n\ge1}\frac{x^n}{2n-1}$

The series will converge if

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|$

We have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac{x^{n+1}}{2(n+1)-1}}{\frac{x^n}{2n-1}}\right|=|x|\lim_{n\to\infty}\frac{\frac1{2n+1}}{\frac1{2n-1}}=|x|-\lim_{n\to\infty}\frac{2n-1}{2n+1}=|x|$

So the series will certainly converge if $-1$ , but we also need to check the endpoints of the interval.

If $x=1$ , then the series is a scaled harmonic series, which we know diverges.

On the other hand, if $x=-1$ , by the alternating series test we can show that the series converges, since

$\left|\dfrac{(-1)^n}{2n-1}\right|=\dfrac1{2n-1}\to0$

and is strictly decreasing.

So, the interval of convergence for the series is $-1\le x$ .

6 0

3 years ago

Write 3.25 x 10^4 as an ordinary number.

MArishka [77]

Answer:

see below

Step-by-step explanation:

i'm guessing u must be from UK.... in the US "standard form" is known as "Scientific Notation"

Write 3.25 x 10^4 as an ordinary number: 32 500

Write 6.04 x 10^-3 as an ordinary number: 0.00604

Write 2 400 000 in standard form : 2.4 x 10^6

Write 0.00147 in standard form: 1.47 X 10^-3

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3 years ago

Read 2 more answers

The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2l + 2w = 16, where l

Svetlanka [38]

2(l+w)=16
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l+w=8

for l>w

l=7, w=1
l=6, w=2
l=5, w=3

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3 years ago

Kini and Duke are each working during the summer to earn money in addition to their weekly allowance, and they are saving all of

Tatiana [17]

Answer:

Step-by-step explanation:

9x + 8 = 7.5x + 17

1.5x = 9

x = 6 hours

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3 years ago

Please show full solutions. Will mark brainliest for THE BEST ANSWER. THANK YOU.

aivan3 [116]

Answer:

Step-by-step explanation:

12x² + 17x -5 = 12x² + 20x - 3x - 5

= 4x(3x + 5) -(3x + 5)

= (3x + 5)(4x - 1)

6x² + 7x - 5 = 6x² + 10x - 3x - 5

= 2x(3x + 5) -(3x+5)

= (3x + 5)(2x - 1)

$Area =\dfrac{1}{2}*b*h$

$= \dfrac{1}{2}*(4x -1) *\dfrac{6x^{2}+7x-5}{12x^{2}+17x-5}\\\\=\dfrac{1}{2}*(4x-1)*\dfrac{(3x+5)(2x-1)}{(3x+5)(4x-1)}\\\\=\dfrac{1}{2}*1*\dfrac{ 2x-1}{1}\\\\=\dfrac{2x-1}{2}$

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2 years ago