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3 years ago

I am an odd number between 10 and 20. I can be divided by 3. What number am I?

Mathematics

2 answers:

finlep [7]3 years ago

7 0

Answer:

Step-by-step explanation:

15÷3=5

15 is between 10 and 20

ratelena [41]3 years ago

6 0

Answer: 15

Step-by-step explanation: 15 can be divided by 3

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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

Amy has a collection of dimes and quarters. If the expression

Soloha48 [4]

Answer:

the value of the dimes

Step-by-step explanation:

7 0

3 years ago

Plz help meeeeeeeeeeee

Ierofanga [76]

a) 3.8-10= -6.2 cm that's you're answer-6.2 cm

b) -6.2+10=16.2 that's you're answer 16.2 cm

3 0

3 years ago

Assuming the following two triangles are congruent, solve for x if GR = 6x + 8 and QH = 9x - 1.

MrMuchimi

Answer: x = 3

Step-by-step explanation:

if two triangles are congruent, that means thy have the same sides and angles.

6x + 8 = 9x - 1

-6x +1. -6x +1

9 = 3x

divide both sides by 3 to get x by itself

x = 3

5 0

3 years ago

If 8 metres of ribbon costs me £4.80 how much does 18 metres of cost me

alexira [117]

Answer:

10.8

Step-by-step explanation:

8÷4.80=0.60

0.60×18=10.8

3 0

2 years ago