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3 years ago

A rectangle has a a width of 9 inches the area is 648 inches what is the length of the rectangle

1 answer:

5 0

The formula for a rectangle is length*width=area. Since we know the area and the width, we plug it in to the formula, we get length*9=648.
l*9=648 is equivalent to l=648/9. Now we solve <span>l=648/9 and get l=72. SO the width is 72 inches. </span>

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Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

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

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

2 years ago

The volume of a right rectangular prism is 573.3 cm3. The length of the right rectangular prism is 7.35 cm and the height is 16.

Dimas [21]

7.35*16.25=119.43
573.3/119.43 = 4.8
Width=4.8

5 0

3 years ago

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To get an accurate result, a sample size must be

levacccp [35]

At least 30 ..................

8 0

3 years ago

Please help

aleksklad [387]

Answer:

Step-by-step explanation:

The value of the 4 in 14.8 is 10 times the value of the 4 in 3.46.

6 0

1 year ago

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PLS HELP

dybincka [34]

12.826+2.93= 15.756

Since you have to round it, your final answer would be 15.8

6 0

3 years ago

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