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Sergeeva-Olga [200]
3 years ago
8

(2 points) Consider the linear system y⃗ ′=[−35−23]y⃗ . Find the eigenvalues and eigenvectors for the coefficient matrix. ????1=

, ????⃗ 1= ⎡⎣⎢⎢⎢ ⎤⎦⎥⎥⎥ , and ????2= , ????⃗ 2= ⎡⎣⎢⎢⎢ ⎤⎦⎥⎥⎥ Find the real-valued solution to the initial value problem {y′1y′2==−3y1−2y2,5y1+3y2,y1(0)=9,y2(0)=−10.
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
6 0

Answer:

Please see the attached file for the complete answer.

Step-by-step explanation:

Download pdf
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Someone help me with math homework
iVinArrow [24]

I hope this helps you

8/4=8/4=18/9=2

Side - Side - Side

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2 years ago
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A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the
posledela

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 \times 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 \times 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time <em>(Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)</em>

So, the required probability is:

P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }

5 0
2 years ago
A 20% acid solution is mixed with 20 liters of a 45% acid solution. How much of a 30% acid solution will result?
vaieri [72.5K]

Answer:

50 liters

Step-by-step explanation:

If x is the volume of 20% acid, then:

x (0.20) + 20 (0.45) = (x + 20) (0.30)

0.2x + 9 = 0.3x + 6

3 = 0.1x

x = 30

30 liters of 20% acid are needed, so there will be a total of 50 liters of 30% acid.

6 0
3 years ago
-2*f(6-)-7*g(-7)= ???
const2013 [10]

Answer:

12f+49g

Step-by-step explanation:

-2f(-6)-7g(-7)\\12f+49g

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3 years ago
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Emma took a taxi from the airport to her house.
Natali5045456 [20]
Hi there! The answer is 10 miles.

Let the distance be represented by b.
The cost if the ride will therefore be
$5 + ( $3.70 × d )

We end up with the following equation
5 + 3.7d = 42

Subtract 5 from both sides.
3.7d = 37

Divide both sides by 10.
d =  \frac{37}{3.7}  = 10

Therefore, Emma had a taxi ride of 10 miles.
8 0
2 years ago
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