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3 years ago

7

A manufacturer produces jeans in 9 sizes, 7 different colors, and 6 different stitching patterns. If a branch store manager orde

rs two pairs of each possible type, how many pairs of jeans will he expect to have delivered?

1 answer:

Natali5045456 [20]3 years ago

4 0

Answer:

378

Step-by-step explanation:

9 by 7 by 6 = 378

multiply the numbers with the others then round if needed to match the question.

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Use variation of parameters to find a general solution to the differential equation given that the functions y1 and y2 are linea

Aleks [24]

Recall that variation of parameters is used to solve second-order ODEs of the form

<em>y''(t)</em> + <em>p(t)</em> <em>y'(t)</em> + <em>q(t)</em> <em>y(t)</em> = <em>f(t)</em>

so the first thing you need to do is divide both sides of your equation by <em>t</em> :

<em>y''</em> + (2<em>t</em> - 1)/<em>t</em> <em>y'</em> - 2/<em>t</em> <em>y</em> = 7<em>t</em>

<em />

You're looking for a solution of the form

$y=y_1u_1+y_2u_2$

where

$u_1(t)=\displaystyle-\int\frac{y_2(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

$u_2(t)=\displaystyle\int\frac{y_1(t)f(t)}{W(y_1,y_2)}\,\mathrm dt$

and <em>W</em> denotes the Wronskian determinant.

Compute the Wronskian:

$W(y_1,y_2) = W\left(2t-1,e^{-2t}\right) = \begin{vmatrix}2t-1&e^{-2t}\\2&-2e^{-2t}\end{vmatrix} = -4te^{-2t}$

Then

$u_1=\displaystyle-\int\frac{7te^{-2t}}{-4te^{-2t}}\,\mathrm dt=\frac74\int\mathrm dt = \frac74t$

$u_2=\displaystyle\int\frac{7t(2t-1)}{-4te^{-2t}}\,\mathrm dt=-\frac74\int(2t-1)e^{2t}\,\mathrm dt=-\frac74(t-1)e^{2t}$

The general solution to the ODE is

$y = C_1(2t-1) + C_2e^{-2t} + \dfrac74t(2t-1) - \dfrac74(t-1)e^{2t}e^{-2t}$

which simplifies somewhat to

$\boxed{y = C_1(2t-1) + C_2e^{-2t} + \dfrac74(2t^2-2t+1)}$

4 0

3 years ago

What’s the answer to this ?

gladu [14]

Answer:

x = 17

Step-by-step explanation:

Since the triangles are similar then corresponding angles are congruent.

∠ I = ∠P ← substitute values and solve for x

3x + 4 = 72 - x ( add x to both sides )

4x + 4 = 72 ( subtract 4 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

3 0

3 years ago

Penny has 139 postcards in her collection. Abe has 48 postcards in his collection. Then Abe gives his collection away. He divide

erik [133]

Answer:

145

Step-by-step explanation:

Divide 48 by 7 = 6≅. then add 6 to 139. 145

5 0

3 years ago

Simplify the expression.<br> 2+3(x-4) *

Grace [21]

The answer fam is....... 3x - 10

8 0

3 years ago

Read 2 more answers

12. State whether the number 97 is prime, composite, or neither.

Sophie [7]

Answer:

97 is a prime number.

I hope this helps <3

8 0

3 years ago