3 years ago

You can walk 1 1/2 miles in 1/2 an hour what is your average speed

Mathematics

1 answer:

Nesterboy [21]3 years ago

8 0

Answer:

3 miles per hour

Step-by-step explanation:

If you walk 1.5 miles in .5 of an hour you take 1.5 and divide it by .5 of an hour and you get the speed you were walking

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Find the value of the variable in each expression

bogdanovich [222]

Answer:

they're all 0

Step-by-step explanation:

N/A

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2 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]

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

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

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

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3 years ago

PLEASE SOMEONE HELP ME 50 POINTS AND I WILL MARK A BRAINLIEST

Veronika [31]

Answer:

First one is a, second one is d, and the third one is b

Step-by-step explanation:

hope this helps friend

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2 years ago

G(X) = -3/2x<br> Find g(4)

a_sh-v [17]

substitute 4 as x in both sides of the equation

basically multiply -3/2 by 4

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2 years ago

Read 2 more answers

Which ordered pair is a solution of the line y – 2x = 6?

Lady_Fox [76]

Yes i believe thats it ok

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3 years ago