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3 years ago

Need help asap please

Mathematics

1 answer:

Bezzdna [24]3 years ago

7 0

Answer:

4.77*10^5<7.47*10^5

Step-by-step explanation:

4.77*10^5=477000

7.47*10^5=747000

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PLS HELP ASAP! WILL GIVE U BRAINLIEST

katrin2010 [14]

Answer:

valid

Step-by-step explanation:

it's valid because for example here are some even numbers, 0, 2, 4, 6, 8, they're are all multiples of four.

hope that helped :)

mark me brainliest pls

5 0

3 years ago

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

The data set shows the ages of everyone in a dance class.

Drupady [299]

C because the most shown value is 24

6 0

3 years ago

3)Please help with this question, WILL MARK BRAINLIEST + 10 POINTS!

ser-zykov [4K]

$- 9 < u < - 5 \\ 6 < v < 8$
$40 < - 8u < 72 \\ -16< - 2v < - 12 \\ 24 < - 8u - 2v < 60$
i dont understand what the question means

6 0

3 years ago

New packaging for fruit snacks contains 10% less weight than the original packaging. If the new package costs 15% more than the

xz_007 [3.2K]

Answer:

5/18

Step-by-step explanation:

Let's say the original packaging was 1 lb of packaging for $1.

The cost was $1/lb.

Then the weight went down by 10% and the price went up by 15%.

Now 0.9 lb of packaging cost $1.15.

The new unit cost is $1.15/(0.9 lb)

The difference is

$1.15/(0.9 lb) - $1/lb =

= $1.15/(0.9 lb) - $0.9/(0.9 lb)

= $0.25/(0.9 lb)

=$25/(90 lb) = $5/(18 lb)

The price went up by 5/18.

8 0

3 years ago