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natulia [17]
2 years ago
10

What is 24/11 written as a decimal

Mathematics
1 answer:
dmitriy555 [2]2 years ago
4 0

Answer:

2.1818

Step-by-step explanation:

Hope it helped!

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2.5 X 10^5 divided by 1.0 X 10^10
bekas [8.4K]

Answer:

0.000025

Step-by-step explanation:

PEMDAS (Exponets first.)

10^5 = 100,000

10^10 = 10,000,000,000

rewrite

2.5 x 100,000 divided by 1.0 x 10,000,000,000

PEMDAS (multiplication next.)

2.5 x (10^5) = 250,000

1.0 x (10^10) = 10,000,000,000

rewrite.

250,000 divided by 10,000,000,000 = 0.000025

0.000025

6 0
3 years ago
1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING
iogann1982 [59]

If

y=\displaystyle\sum_{n=0}^\infty a_nx^n

then

y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n

The ODE in terms of these series is

\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0

\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0

\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}

We can solve the recurrence exactly by substitution:

a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0

\implies a_n=\dfrac{(-2)^n}{n!}a_0

So the ODE has solution

y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}

which you may recognize as the power series of the exponential function. Then

\boxed{y(x)=a_0e^{-2x}}

7 0
3 years ago
What is the discriminant of 9x2 + 2 = 10x?<br> –356 <br> –172 <br> 28<br> 72
Airida [17]

Answer:

<h2><em>C. 28</em></h2>

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help on the Line Plot one! ASAP! Please
tamaranim1 [39]
Draw a straight, horizontal line.  Mark evenly-spaced scale divisions, 0 to 5 (because all of the given numerals fit within this domain).

Recognize that the LCD of these fractions and mixed numbers is 6.

Convert all of the given fractions to denominator 6, as needed (some already have that denominator).

Arrange the resulting fractions in ascending order.  For example, 5/6, 1/6, 3/6 would become 1/6, 3/6, 5/6 (in ascending order).

Plot all your numerals (all of which have denominator 6) on your number line.
6 0
3 years ago
Jack and his two friends each ordered a small pizza, Jack ate 7/8 of his pizza, Luis ate 3/4 of his pizza, Tyrone ate 1/2 of his
Thepotemich [5.8K]
8/8 - 7/8 = 1/8
4/4 - 3/4 = 1/4
2/2 - 1/2 = 1/2

1/4 * 2/2 = 2/8
1/2 * 4/4 = 4/8

1/8 + 2/8 + 4/8 = 7/8 of a pizza was left
3 0
2 years ago
Read 2 more answers
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