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3 years ago

Simplify the square root of 3 /5 - square root of 2/7 + square root of 45 - sqaure root of 28

Mathematics

2 answers:

nekit [7.7K]3 years ago

7 0

How exactly is the square root written?

astraxan [27]3 years ago

3 0

Answer:

6√5 - 4√7

Step-by-step explanation:

Edge 2020. 100%

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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

if 16 men can finish to contruct a bulding in 40 days how manny more men are needed to finish the contruction in 32 days

Digiron [165]

Answer:

20 mens are needed to contruct a building in 32 days.

5 0

2 years ago

Please Answer due today 100 points

Semmy [17]

Answer:

Figure 2 and figure 4

Yes I agree with Tyler

C
D

Step-by-step explanation:

Figures 2 and 4 are not slanted which changes the original form, unlike the others.

I agree with Tyler because the size is not only smaller but it says that it was scaled by 2 more centimeters than the original figure.

I believe its the others because the other one is scaled upwards unlike the rest.

4 0

2 years ago

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Leda makes 73 oatmeal muffins for a bake sale. She accidentally drops five of them and throws them away. She puts as many of the

mamaluj [8]

Answer:

3 oatmeal muffins

Step-by-step explanation:

First, subtract the 5 muffins she dropped from the total:

73 - 5

= 68

Then, divide this by 13:

68/13

= 5.23

We need a whole number of muffins in each container, so round this down to 5.

This means that there can be 5 muffins in each of the 13 containers.

Find how many will be leftover:

5(13)

= 65

68 - 65

= 3

So, there will be 3 oatmeal muffins left

5 0

2 years ago

12.93 is what percent of 172.40?

Maurinko [17]

Answer:

Step-by-step explanation:

$METHOD\ 1:\\\\\begin{array}{ccc}172.4&-&100\%\\12.93&-&p\%\end{array}\qquad\text{cross multiply}\\\\172.4p=(12.93)(100)\\\\172.4p=1293\qquad\text{divide both sides by 172.4}\\\\p=7.5\ (\%)$

$METHOD\ 2:\\\\\dfrac{12.93}{172.4}\cdot100\%=\dfrac{1293}{17240}\cdot100\%=0.075\cdot100\%=7.5\%$

6 0

2 years ago

Read 2 more answers