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3 years ago

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the relative frequency that the traffic lights will show RED at road works is 0.2. Estimate how many times they will show RED ov

er the next 40 journeys.

2 answers:

tensa zangetsu [6.8K]3 years ago

8 0

Only 8 times because you take .2 times 40

adell [148]3 years ago

7 0

Yes you multiply 40*0.2 and that would be 8.

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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

3 years ago

my water sprinkler turns 5 degrees with every click. if it turns 60 degrees total, how many times has it clicked?

Ket [755]

12 times because you divide 60 by 5 and get 12.

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3 years ago

Mai's younger brother tells her that 10/7 is equal to square root 2. Mai knows this can't be right because 10/7 is rational and

Elodia [21]

The answer is 76 because Mai’s younger brother has been saving up for that long it just makes since

7 0

3 years ago

Y+3=2(x-1) im not so sure that i got the answer correct.

Vikentia [17]

So just try it for x=1 how many will get for y

y+3=2(x-1) for x = 1 will get y+3 =2(1-1) so y+3=2*0 so y+3=0 so y=-3

x=1
y=-3 so choice A.(1,-3) is right sure

hope this will help you

8 0

3 years ago

Give the answer to the question below.

alexira [117]

Answer:

1/4 assuming x is not 0

Step-by-step explanation:

x^0 is 1 and 1/4 * 1 = 1/4

4 0

3 years ago