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3 years ago

2 1/2 divided by 4. can you please answer i need help

Mathematics

2 answers:

marissa [1.9K]3 years ago

8 0

Answer:

5/8

Step-by-step explanation:

poizon [28]3 years ago

6 0

The answer would be 5/8, 62.5% in percentage mode, and 0.625 in decimal.

Convert 2 1/2 to a improper fraction

Simplify 2 * 2 to 4

Simplify 4 + 1 to 5

Simplify

Simplify 2 * 4 to 8

Now fuse it together and it would be 5/8.

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Consider the differential equation x2y′′ − 9xy′ + 24y = 0; x4, x6, (0, [infinity]). Verify that the given functions form a funda

pantera1 [17]

Answer:

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

Step-by-step explanation:

Given equation is

$x^2y'' - 9xy+24y=0$

This Euler Cauchy type differential equation.

So, we can let

$y=x^m$

Differentiate with respect to x

$y'= mx^{m-1}$

Again differentiate with respect to x

$y''= m(m-1)x^{m-2}$

Putting the value of y, y' and y'' in the differential equation

$x^2m(m-1) x^{m-2} - 9 x m x^{m-1}+24x^m=0$

$\Rightarrow m(m-1)x^m-9mx^m+24x^m=0$

$\Rightarrow m^2-m-9m+24=0$

⇒m²-10m +24=0

⇒m²-6m -4m+24=0

⇒m(m-6)-4(m-6)=0

⇒(m-6)(m-4)=0

⇒m = 6,4

Therefore the auxiliary equation has two distinct and unequal root.

The general solution of this equation is

$y_1(x)=x^4$

and

$y_2(x)=x^6$

First we compute the Wronskian

$W(x)= \left|\begin{array}{cc}y_1(x)&y_2(x)\\y'_1(x)&y'_2(x)\end{array}\right|$

$= \left|\begin{array}{cc}x^4&x^6\\4x^3&6x^5\end{array}\right|$

=x⁴×6x⁵- x⁶×4x³

=6x⁹-4x⁹

=2x⁹

≠0

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

5 0

3 years ago

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atroni [7]

The answer would be A :))) hope you have a great day!

7 0

3 years ago

A research company surveys people in a community about a new recycling program. The company expects 6,000 people to respond favo

strojnjashka [21]

Answer:

5850

Step-by-step explanation:

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4 0

3 years ago

PLEASE HELP

Sonja [21]

Answer:

m=18

Step-by-step explanation:

-1/2m=-9

-m=-18

m=18

6 0

3 years ago

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Q1: What is the measure of angle one?

dimulka [17.4K]

Answer:

Step-by-step explanation:

omg please don't listen to the other person it's 34 bc if you look at the angle under 2 it's 34 so that's your answer for one

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3 years ago