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3 years ago

15

There are 750 people at a football game. Out of this number, 320 are students. What percent of the people at the football game a

re not students? Round to the nearest hundredth, if needed.

1 answer:

zlopas [31]3 years ago

6 0

Answer:

I have no clue

Step-by-step explanation:

i dont lnow

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Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x

djverab [1.8K]

I'll assume the ODE is

$y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}$

Solve the homogeneous ODE,

$y'' - 3y' + 2y = 0$

The characteristic equation

$r^2 - 3r + 2 = (r - 1) (r - 2) = 0$

has roots at $r=1$ and $r=2$ . Then the characteristic solution is

$y = C_1 e^x + C_2 e^{2x}$

For nonhomogeneous ODE (1),

$y'' - 3y' + 2y = e^x$

consider the ansatz particular solution

$y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x$

Substituting this into (1) gives

$a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1$

For the nonhomogeneous ODE (2),

$y'' - 3y' + 2y = e^{2x}$

take the ansatz

$y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}$

Substitute (2) into the ODE to get

$b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1$

Lastly, for the nonhomogeneous ODE (3)

$y'' - 3y' + 2y = e^{-x}$

take the ansatz

$y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}$

and solve for $c$ .

$ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16$

Then the general solution to the ODE is

$\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}$

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1 year ago

I can't figure out the second answer please help!!!

Mekhanik [1.2K]

Choice A is one of the answers. Nice work. This is because x+x+x turns into 3x.

Choice D is the other answer because 2(x+1) + x = 2x+2+x = 3x+2. You can find this through trial and error. Or you could graph y = x+x+x+2 and y = 2(x+1)+2 to find that they are the same exact identical diagonal line. A non-graph approach would be to set up a table of values to see that the two tables are identical.

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3 years ago

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Describe the correct the error in finding the area of the triangle

lions [1.4K]

Answer:

Since the area of a triangle is 1/2 base times height, it should be a=1/2(10)(12m)

So the area would be 60 meters squared.

Step-by-step explanation:

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4 years ago

Whats is the answer to 5/8 -1/10

LuckyWell [14K]

Answer:

Hello, Your answer will be 45

Step-by-step explanation:

5+8=5*+%=45 <em>Hope This Helps!</em>

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3 years ago

Consider the enlargement of the rectangle. Use the proportion to find the missing dimension bod the original rectangle. (Sorry t

fgiga [73]

Here's the right way:

$\dfrac{x}{\frac 3 5} = \dfrac{20}{12}$

$x = \dfrac{20}{12} \cdot \dfrac{3}{5} = 1$

Here's the way they want you to do it:

$\dfrac{x}{\frac 3 5} = \dfrac{20}{12}$

$12 x = 20 \times \dfrac{3}{5} = 12 \textrm{ FIRST BOX}$

$x = 12/12 = 1 \textrm{ SECOND BOX}$

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3 years ago

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