3 years ago

Is 8/5 an irrational number?

Mathematics

1 answer:

Alinara [238K]3 years ago

5 0

No, it’s not. It’s a rational number

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Althea traveled 280 miles at a speed of 70 miles/hour. How much time did she take to cover this distance?

julsineya [31]

Answer:

Step-by-step explanation:

t = d/r

t = 280/70

t = 4 hours

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3 years ago

Which of the the following fractions is not equivalent to 1/4

Ivenika [448]

Here are fractions equivalent to 1/4.......2/8, 3/12, 4/16, 5/20, ...

6 0

4 years ago

2. Write four thousand twenty four and seventy six thousandths in<br> number<br> inta decimall

nikdorinn [45]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Consider xưy" – 14xy' + 56y = 0. Find all values of r such that y=x" satisfies the differential equation for x > 0. Enter as

beks73 [17]

I bet the ODE is supposed to read

$x^2y''-14xy'+56y=0$

Then if $y=x^r$ , we have $y'=rx^{r-1}$ and $y''=r(r-1)x^{r-2}$ , and substituting these into the ODE gives

$r(r-1)x^r-14rx^r+56x^r=0\implies r(r-1)-14r+56=r^2-15r+56=0$

Solving for <em>r</em>, we find

$r^2-15r+56=(r-8)(r-7)=0\implies \boxed{r=8\text{ or }r=7}$

so that $y_1=x^8$ and $y_2=x^7$ are two fundamental solutions to the ODE. Thus the general solution is

$\boxed{y(x)=C_1x^8+C_2x^7}$

Given that $y(1)=4$ and $y'(1)=3$ , we get

$\begin{cases}4=C_1+C_2\\3=8C_1+7C_2\end{cases}\implies C_1=-25\text{ and }C_2=29$

So the particular solution is

$\boxed{y(x)=29x^7-25x^8}$

4 0

4 years ago

Can You Please help Me

faust18 [17]

Answer:

Hope this helps you! Have a great day. :)

3 0

3 years ago