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2 years ago

How do you write 125% in a fraction and in simplest form

Mathematics

2 answers:

Darina [25.2K]2 years ago

8 0

The Answer Is 1.25 I Think

erastovalidia [21]2 years ago

5 0

The answer is 1. 25 because it an a fraction that is why it the answer 1. 25

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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]

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

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

2 years ago

a file that is 278 megabytes is being downloaded. If downloaded is 14.1% complete, how many megabytes been downloaded? To round

Gekata [30.6K]

14.1% of 278 is 39.2. So 39.2 megabytes have been downloaded.

4 0

3 years ago

Read 2 more answers

Mrs. Lawson made 18 sandwiches for the trip. She planned that each person would eat 1/2 a sandwich. How many people can she feed

Aleks [24]

Answer:36

Step-by-step explanation:

18×2= 36 because if each got halfed, each half would equal one sandwich so there would be 36 sandwiches

8 0

2 years ago

What is the measure of ∠R ?

GarryVolchara [31]

You want to find R. From angle R, you know the side lengths for opposite and hypotenuse. According to SohCahToa, that is sine. Sin (x) = Opposite / Hypotenuse = 2.5 / 5 = 0.5
Sine(x)=.5. To get x by itself divide both by the inverse of sine.

3 0

2 years ago

Read 2 more answers

If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?

andre [41]

The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0

<h3>What exactly is a function?</h3>

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Given function;

f(x) = 16x – 30

g(x) = 14x – 6

⇒(f – g)(x) = 0

⇒(16x – 30)-(14x – 6)=0

⇒16x-30-14x+6=0

⇒2x-24=0

⇒x=24/2

⇒x=12

Hence, the value of the x will be 12.

To learn more about the function, refer to:

brainly.com/question/5245372

#SPJ1

8 0

1 year ago