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3 years ago

If 1=32=33=54=45=4Then, 6=?

Mathematics

1 answer:

ELEN [110]3 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

For "a = b" it appears that the intention is b = f(a). It appears that f(a) is the number of letters in the spelling of 'a'.

"One" has 3 letters

"Two" has 3 letters

"Three" has 5 letters

"Four" has 4 letters

"Five" has 4 letters

"Six" has 3 letters

so, 6 = 3.

_____

<em>Additional comment</em>

This appears to be a non-standard use of the equal sign, in which it has no relation to the usual meaning of "equals." Using standard symbols with non-standard meanings should generally be avoided, unless the intended meaning is explained.

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Does the set {t, t Int} form a fundamental set of solutions for t^2y" -- ty' +y = 0?

Ivanshal [37]

Answer:

yes

Step-by-step explanation:

We are given that a Cauchy Euler's equation

$t^2y''-ty'+y=0$ where t is not equal to zero

We are given that two solutions of given Cauchy Euler's equation are t,t ln t

We have to find the solutions are independent or dependent.

To find the solutions are independent or dependent we use wronskain

$w(x)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}$

If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.

Let $y_1=t,y_2=t ln t$

$y'_1=1,y'_2=lnt+1$

$w(x)=\begin{vmatrix}t&t lnt\\1&lnt+1\end{vmatrix}$

$w(x)=t(lnt+1)-tlnt=tlnt+t-tlnt=t$ where t is not equal to zero.

Hence,the wronskian is not equal to zero .Therefore, the set of solutions is independent.

Hence, the set {t , tln t} form a fundamental set of solutions for given equation.

6 0

4 years ago

A cylindrical milk storage tank needs to be built to hold 84.78 cubic feet of milk. The foundation for the tank has already been

Romashka [77]

Answer:

3 or 2.999 (probably 3)

Step-by-step explanation:

So the volume of a cylinder = πr^2 * h

h = height

r = radius

now we know the radius. Leaving us with a simple equation which is:

π*9*h = 9π*h = 84.78 =

π*h = 9.42

h = 9.42 / π = 2.99847912785......

but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.

Reference my work if you're are confused, however, it's really messy so sorry about that.

8 0

3 years ago

Plz do both plz plz plz

shtirl [24]

The first one is A and the second is either B or D I can’t decide

4 0

3 years ago

Margret works at a bakery. She is paid $300 every week plus $12 an hour for any

vivado [14]

Answer:

300+12x=$450

Step-by-step explanation:

8 0

3 years ago

in a history class, the girl to boy ratio is 9 to 5. if there is a total of 70 students how many boys is there

DedPeter [7]

Answer:

25 boys.

Step-by-step explanation:

To solve this problem, first add the two parts of the ratio. 9 + 5 = 14. Then divide 70 by 14 to get 5. Since the total is 5 times the ratio total, multiply both sides of the ratio by 5. The result is 45 : 25. If you add them together, you get a total of 70. Therefore, there are 25 boys in the class.

7 0

4 years ago

Read 2 more answers