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lys-0071 [83]
2 years ago
15

Consider two processes, p1 and p2, where p1 = 50, t1 = 25, p2 = 75, and t2 = 30.

Mathematics
1 answer:
12345 [234]2 years ago
8 0

Answer:

Given:

p1 = 50,

t1 = 25,

p2 = 75,

t2 = 30

Rate monotic scheduling is a priority scheduling where the shortest job time gets the highest priority. Priority is assigned based on process time. The higher priority will go to process with a short period while the process with a long period will be assigned a low priority because it requires CPU for more time.

Let us say that process P1, has a higher priority than process P2, with the rate monotic scheduler.

Let's take the initial conditions for both P1 & P2.

P1 at time, t = 0 (initial condition)

P2 at time, t = 25

P1 is later scheduled at t = 50,

P2 is scheduled at t = 75.

Let's determine scheduling would be possible.

CPU utilization of P1 = 25/50 = 0.5

CPU utilization of P2 = 30/75 =0.4

Total = 0.4 + 0.5 = 0.9 = 90%

Scheduling is possible as it uses 90% of CPU.

If P1 is assigned a higher priority, P2 will miss its deadline for completion of its CPU burst time at 75.

P1 will not be scheduled in time when it is assigned to a lower priority than P2, i.e P1 won't meet its deadline.

Although the rate monotic scheduler is guaranteed to to schedule the process to its deadline, there is no guarantee the two processes would be scheduled to meet their deadline.

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EastWind [94]

Answer:

x=\frac{-363}{70} ≈ -5.1857

y=\frac{-192}{35} ≈ -5.4857

z=\frac{313}{84} ≈ 3.7262

Step-by-step explanation:

Rewrite the equation system as:

6x+8y=-75

-3x+6y+6z=5

2x-9y=39

Now, write the system in its augmented matrix form:

\left[\begin{array}{cccc}6&8&0&-75\\-3&6&6&5\\2&-9&0&39\end{array}\right]

applying row reduction process to  its associated augmented matrix:

Swap R1 and R3, and then Swap R1 and R2:

\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\6&8&0&-75\end{array}\right]

R3+2R1

\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\0&20&12&-65\end{array}\right]

3R2+2R1

\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&20&12&-65\end{array}\right]

15R3+20R2

\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&0&420&1565\end{array}\right]

Now we have a simplified system:

-3x+6y+6z=5\\0-15y+12z=127\\0+0+420z=1565

-3x+6y+6z=5\hspace{5 mm}(1)\\0-15y+12z=127\hspace{3 mm}(2)\\0+0+420z=1565\hspace{3 mm}(3)

From (3):

z=\frac{313}{84} (4)

Replacing (4) in (2)

y=\frac{-192}{35} (5)

Finally replacing (5) and (4) in (1)

x=\frac{-363}{70}

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3 years ago
Steven estimates how long his computer repairs will take. He discovers that ABC Tech and Tech Squad will charge the
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You didn't include the costs of doing repairs at both computer repair firms. I fixed that for you.

ABC Tech ------- $20 service charge plus $15 per hour.

Tech squad ------- $30 service charge plus $10 per hour.

Answer:

Steven's estimate of the repair time is 2 hours.

Step-by-step explanation:

Now in this case, we were told that ABC Tech normally charges $20 service charge and $15 per hour of computer repair service. The second tech firm charges $30 service charge and $10 per hour for computer repair service. We are now simply required to find out or calculate the number of hours of computer repair service whereby the cost of doing repairs at both tech firms become equal.

Let us use "x" to represent that unknown number of hours. The equation needed to calculate this is:

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3 years ago
Question included in the image - geometry problem.
iren [92.7K]

Answer:

y = 116°

Step-by-step explanation:

Given that <em>L₁ </em>|| <em>L</em>₂:

The <u>exterior angle theorem</u> states that the measure of an exterior angle of a triangle is equal to the sum of the two opposite and non-adjacent remote interior angles.  

Also, ∠y° and ∠2x° are <u>same-side interior angles</u> formed by the intersection of the <em>hypotenuse</em> of the triangle that acts as a transversal to the parallel lines, <em>L₁ </em>and <em>L</em>₂.  Given that ∠y° and ∠2x° are <u>same-side interior angles</u>, then it means that they are the supplements of each other, such that the sum of their measures is 180°.  

Now that we have established these definitions, we can proceed with the solution.

<u>Equation 1</u>:  ∠y° + ∠2x° = 180° ⇒ Same-side interior angles

<u>Equation 2</u>:  ∠y° =  ∠x° + ∠84°  ⇒ exterior angle theorem

Substitute the value of m∠y° from Equation 2 into Equation 1 to solve for the value of x:

∠y° + ∠2x° = 180°

∠x° +  ∠84° + 2x° = 180°

Combine like terms:

∠3x° + ∠84° = 180°

Subtract ∠84° from both sides:

∠3x° + ∠84° - ∠84° = 180° -∠84°

∠3x° = 180° - ∠84°

∠3x° = 96°

Divide both sides by 3 to solve for x:

\frac{3x}{3} = \frac{96}{3}

∠x° = 32°

Substitute the value of x into Equation 2 to solve for y:

∠y° =  ∠x° + ∠84°

∠y° =  ∠32° + ∠84°

∠y° =  116°

Verify whether the values for x and y are correct by substituting their values into Equation 1 and 2:

<h3>Equation 1:</h3>

∠y° + ∠2x° = 180°

116° + 2(32)° = 180°

116° + 64° = 180°

180° = 180° (True statement).

<h3>Equation 2:</h3>

∠y° =  ∠x° + ∠84°

116° = 32° + 84°

116°  = 116°  (True statement)

Therefore, the correct answer is: y = 116°.

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