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3 years ago

9

what if you returned to check on the bin and returned to check thr bin and found that there were 4 teddy bears left 12 other ani

mals? what could you add to or remove from thr bin to return the probality of selecting a teddy bear to 1/2

1 answer:

MissTica3 years ago

6 0

If you add 6 to 4 you get ten and if you add 2 to it you'll get 12

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Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview

svetlana [45]

Answer: The required solution is

$y=(-2+t)e^{-5t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.$

So, the general solution of the given equation is

$y(t)=(A+Bt)e^{-5t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.$

According to the given conditions, we have

$y(0)=-2\\\\\Rightarrow A=-2$

and

$y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.$

Thus, the required solution is

$y(t)=(-2+1\times t)e^{-5t}\\\\\Rightarrow y(t)=(-2+t)e^{-5t}.$

6 0

3 years ago

ehidna [41]

$\frac{9}{41}$

Step-by-step explanation:

The ratio cosine tell us that

In a right angled triangle, the cosine of an angle is the side adjacent to the angle divided by the hypotenuse of the triangle.

In other words,

$\cos(x) = \frac{adj}{hyp}$

The side adjacent to angle a is 9. The hypotenuse is 41.

So

$\cos(a) = \frac{9}{41}$

6 0

3 years ago

Knowing that sin 30° = 1/2 , what is a?

umka2103 [35]

Answer: D

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

How many rectangles can you make out of 18 cubes?

-Dominant- [34]

1*1*18
1*2*9
1*3*6
2*3*3

4 0

4 years ago

Read 2 more answers

I think of a number; take away 3 and then multiply by 7 to get the number 42. What was the number I started with?

torisob [31]

Your answer should be “9” because 6x7=42

3 0

3 years ago