solve the given initial-value problem. the de is homogeneous. xy2 dy dx = y3 − x3, y(1) = 2

A to E have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Average turnaround time for a quantum of one minute and four minutes is calculated to be 32.2 minutes and 97.4 minutes respectively.

Turnaround time (TAT) is the period of time between when a process is submitted and when it is finished. It can alternatively be viewed as the total of the times spent waiting to execute on the CPU, waiting in the ready queue or memory, and waiting to execute input or output. An essential parameter for assessing an operating system's scheduling algorithms is turnaround time.

a) For each process the turnaround time is

A= 45 minutes    b= 35 minutes

C= 13 minutes     D= 26 minutes

E= 42 minutes

The average time will be

[tex]\frac{45+35+13+26+42}{5} = 32.2 minutes[/tex]

b) For a quantum of 4 minutes

[tex]\frac{19+31+39+42}{5} = 97.4 minutes\\[/tex]

c) The average turnaround time can be calculated to be

[tex]\frac{9+21+36+39+45}{5} = 30 minutes[/tex]

d)The average turnaround time is

[tex]\frac{15+24+27+33+45}{5} = 28.8 minutes[/tex]

e) The average turnaround time is

[tex]\frac{3+9+18+30+45}{5} = 21 minutes[/tex]

Complete question:

Five batch jobs, A through E, arrive at a computer center at essentially the same time. They have an estimated running time of 15, 9, 3, 6, and 12 minutes, respectively. Their (externally defined) priorities are 6, 3, 7, 9, and 4, respectively, with a lower value corresponding to a higher priority. For each of the following scheduling algorithms, determine the turnaround time for each process and the average turnaround for all jobs. Ignore process switching overhead. Explain how you arrived at your answers. In the last three cases, assume that only one job at a time runs until it finishes and that all jobs are completely processor bound.

a) Round Robin with a quantum of one minute b) Round Robin with a quantum of 4 minutes c) Planning for Priority d) FCFS (running in order 15, 9, 3, 6 and 12) e) Shortest Process Next (SPN)

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The number of solutions of each of the given linear equations are;

1) No solution

2) One solution

3) No solution

1) We are given the equation;

¹/₃x - 6 = ¹/₃(x - 3) - 5

Expanding the bracket gives us;

¹/₃x - 6 = ¹/₃x - 1 - 5

The value that has the variable x is equal on both sides and so will cancel out leaving us with no solution.

2) 8x + 7 = -8x + 7

Add 8x to both sides to get;

16x + 7 = 7

subtract 7 from both sides to get;

16x = 0

x = 0

This has only one solution

3) 0.8x + 14 = 0.8x

The value attached to the variable on both sides are equal and so we say that this has no solution.

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Answer:

x-intercept: (-7,0)

y-intercept: (0,9)

Step-by-step explanation:

Step-by-step explanation:

v = u + at

v-u = at

a = (v -u)/t

When t = 4, u=10, v=50

a = (50-10)/4

a= 40/4

a = 10

The truck is 32.22m away from the base of the building

As a 1.5m long  man is standing on the 42m long building,

=>the height of man's site= 42+ 1.5= 43.5m

If the line of sight is directed downward from the horizontal line, then an angle is created with the horizontal line. The angle produced between the horizontal line and the observer's line of sight is known as the angle of depression if the object being observed is below the observer's level.

As given, the angle of depression = 53.5°

We know that,

tan ∝= perpendicular* base

so, ∝=53.5:

tan(53.5 )= 43.5/y

[where y= distance of the truck from the base of the building]

1.35= 43.5/y

y=43.5/1.35= 32.22m

Hence, the truck is 32.22m away from the base of the building.​

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Answer:

None of A, B, or C.

Step-by-step explanation:

A quadratic function in its general form is [tex]f(x)=a(k(x-d))^2+c[/tex], where a represents the vertical stretch/compression, k the horizontal stretch/compression, d the horizontal shift, and c the vertical shift. Here, based on the image of f(x) and the resulting transformed function g(x), we can see that the graph has only been shifted horizontally to the right by two units. We should expect the function g(x) to be [tex](x-2)^2[/tex], which is not provided in any of the options.

Mean of the sample is 6 and standard deviation of the sample is 2.258

number of volunteers per day = 40

so n=40

sample proportion is a random variable that varies from sample to sample in ways that are impossible to predict in advance.

sample proportion(p) = 15 %= 15 /100 =0.15

 so p= 0.15

and hence q= 1 - p= 0.85

formula of mean = n * sample proportion =  np.

mean of sample = np = 40 *0.15 =6

 so mean = 6

so standard deviation or SD =  [tex]\sqrt{p * q * n}[/tex]

standard deviation = [tex]\sqrt{p*q*n}[/tex]

=> √(40 × 0.15 × 0.85)

=> √5.1

so standard deviation = 2.258

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Answer:9.9

Step-by-step explanation:

We know that pythagorean Theorem is a^2+b^2=c^2

Using this, and A & B we can plug them in

We get 49+49=c^2

98=c^2

we can square root both sides to get

sqrt98=c^2

or 9.9(rounded to the nearest 10th)

Answer:

c = 9.9 to the nearest tenth

Step-by-step explanation:

Pythagoras theorem = c² = a² + b²

a= 7, b = 7, c =?

c² = 7² + 7²

c² = 49 + 49

c² = 98

c =√98

c = 9.8995

Answer to the nearest tenth

c = 9.9

Answer:

Step-by-step explanation:

In order to answer this question, we need to know what PEMDAS stands for.

Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction.

Now using this order, we can solve.

There isn't any parenthesis.

There is an exponent, [tex]5^{3}[/tex].

Let's solve this.

5 × 5 × 5 = 125

Our equation now looks like this:

125 + 28 ÷ 7 - 1

There isn't any multiplication for us to solve.

There is division.

28 ÷ 7 = 4

Now our equation looks like this:

125 + 4 - 1

Now it's time for addition.

125 + 4 = 129

Now our equation looks like this:

129 - 1

Now all we need to do is subtraction.

129 - 1 = 128

The final answer is 128.

Answer:

Step-by-step explanation:

The transformation represented by g(x) = 2(x-3)^2+4 is a parabolic stretch of the function f(x) = x^2.

The function f(x) = x^2 is a parabola with vertex at (0, 0). The transformation represented by g(x) = 2(x-3)^2+4 stretches this parabola horizontally by a factor of 2, shifting it 3 units to the right and 4 units up.

The resulting function g(x) = 2(x-3)^2+4 is a parabola with vertex at (3, 4). It is the graph of f(x) = x^2 that has been stretched horizontally by a factor of 2, shifted 3 units to the right, and 4 units up.

Answer:

Step-by-step explanation:

It could be apple because there is more apple that blackberry fruit drops

Step-by-step explanation:

apple flavoured and 8 are blackberry

flavoured. She chooses a sweet at random and eats it. Then she chooses another sweet at

random. Calculate the probability

Answer:

Step-by-step explanation:

Input: 1, 2, 3, 4, 5

Output: -7, -9, -11, -13

To get the output you'd add -2 each time. -7+(-2) is -9. -9+(-2)=-11. -11+(-2)=-13. And because it keeps on increasing like this the n should be 5. Because the output keeps increasing by the same value the input should too. It's increasing by 1.

( not sure if this is what you wanted us to answer)

Answer:

---------------------------

Using table, put the output values as a sequence:

We see the first term is -7 and the common difference is - 2.

The nth term would be:

Answer:

[tex] \frac{x {}^{13} }{y} [/tex]

Step-by-step explanation:

[tex]1. \: \frac{xx {}^{12} }{y} \\ 2. \: \frac{x {}^{13} }{y} [/tex]

Answer:

[tex]V=197.82 m^{3}[/tex]

Step-by-step explanation:

The volume of a cylinder is defined by [tex]\pi r^{2} h[/tex], where [tex]\pi r^2[/tex] represents the area of its base (which is just a circle) and [tex]h[/tex] the height of the cylinder. Think of a rectangle. The formula for its volume is simple [tex](base)(width)(height)[/tex]. In this case, base and width are [tex]\pi r^2[/tex], and the height is simply [tex]h[/tex].

Knowing this information, we can solve for the volume:

Diameter = 6 m . Radius is half of the diameter. So Radius, r, = 3 m.

Height = 7 m.

Now we plug into the equation, such that [tex]\pi =3.14[/tex]:

[tex]V=(3.14)(3)^2(7)[/tex]

[tex]V=197.82 m^{3}[/tex]

Answer:

[tex]V=197.82[/tex]

Step-by-step explanation:

[tex]Given,\\H=7m\\D=6\\R=?\\[/tex]

So we need to find the radius with the Formula,

[tex]r=\frac{d}{2}[/tex]

[tex]r=3m[/tex]

Now we need to find the volume of the cylinder by the Formula,

[tex]V=\pi r^{2}h[/tex]

[tex]V=3.14X(3)^{2}(7)[/tex]

[tex]V=3.14X63\\V=197.82[/tex]

Hope it helps u

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Answer:

perimeter of rectangle= 2(l+b)

=2(4x+5+8x-4)

=2(12x+1)

24x+2

Answer:

perimeter of the rectangle = 24x + 2

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Then:

perimeter = 2(4x+5 + 8x-4)

perimeter = 2(4x+8x + 5-4)

perimeter = 2(12x + 1)

perimeter = 2*12x + 2*1

perimeter = 24x + 2

No. Using Lin's method, there is an implicit assumption that [tex]d \neq 0[/tex]. However, the solution to the equation turns out to be [tex]d=0[/tex], making Lin's method invalid.

The tip of the man's shadow is moving at the speed of 2.25m/s.

Here, we are given-

Length of the pole = 6 meters

Height of the man = 2 meters

Speed of the man = 1.5 m/s

we can form a diagram as shown in the figure below.

Now as the two triangles are similar, the ratio of their sides will be equal-

2/ b = 6/ (a + b)

2(a + b) = 6b

2a + 2b = 6b

2a = 4b

a = 2b

Now, differentiating both sides with respect to time-

da/ dt = 2db/ dt

(1/2)(da/dt) = db/dt

Let a + b = c

⇒ dc/ dt = da/dt + db/dt

dc/ dt = da/dt + da/2dt

dc/ dt = 3/2 × da/ dt

Now, we know that the speed of the man is 1.5m/s ⇒ da/dt = 1.5

dc/dt = 3/2 × 1.5

= 2.25

Thus, the tip of the man's shadow is moving at a speed of 2.25m/s.

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Your question was incomplete. Check for full content below-

a street light is mounted at the top of 6 a -ft-tall pole. a man 2 ft tall walks away from the pole with a speed of 1.5m/s along a straight path. How fast is the tip of his shadow moving when he is 10ft from the pole?

The expression that is equivalent to a + b will be 3x + 3.

It's important to note that an expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this situation, the value of a = 2x and b = x + 3. The expression that is equivalent to a + b will be:

= a + b

= 2x + x + 3

= 3x + 3.

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The value of a = 2x and b = x + 3. Which expression is equivalent to a - b?

The bicycle is moving at a speed of 14,356 meters per hour.

Here, we are given that the wheel of a bicycle is spinning at the rate of 150 revolutions per minute.

The diameter of the wheel is 20 inches

⇒ radius = 10 inches

⇒ circumference of the wheel = 2 × π × 10

= 20π

Thus, the wheel will cover a distance of (20π × 150) inches in a minute

= 300π

now, we know that 1 inch = 0.254 meters

⇒ 300π inches = 300π × 0.254

= 76.2π

Thus, the bicycle covers 76.2π meters in a minute

⇒ it'll cover 76.2π × 60 meters in an hour

= 4572π

= 4572 × 3.14

= 14,356.08

Thus, the bicycle is moving at a speed of 14,356 meters per hour.

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Answer:

  k = 7

Step-by-step explanation:

You want to know the value of k that transforms f(x) = 2/3x -3 to g(x) = f(x) +k, where g(x) is 2/3x +4.

The amount of vertical shift to get from f(x) to g(x) can be found by subtracting f(x) from g(x):

  g(x) = f(x) +k

  g(x) -f(x) = k

  (2/3x +4) -(2/3x -3) = k

  4 -(-3) = k = 7

Function f(x) is shifted upward by k = 7 to transform it to g(x).

__

Additional comment

We can read the equations from the graph by looking for the y-intercept (b) and the slope (m = rise/run) of each line. The slope is rise=-2 for run=3, so m=-2/3.

The +k means the transformation is a vertical shift. You don't need to know what the equations for f(x) and g(x) are; you only need to look at the difference between the y-intercepts. That difference is the amount by which g(x) is shifted upward.

The length vector is 1. So the sketch vector field f is given below. So the option a is correct.

In the given question, the vector field F by drawing a diagram like this figure.

The given vector field F is:

F(x, y) = (yi + xj)/√(x^2 + y^2)

We can write the vector field as:

F(x, y) = yi/√(x^2 + y^2) + xj/√(x^2 + y^2)

Here

F(x, y) = [y/√(x^2 + y^2)]^2 + [x/√(x^2 + y^2)]^2

F(x, y) = y^2/(x^2 + y^2) + x^2/(x^2 + y^2)

F(x, y) = (y^2+ x^2)/(x^2 + y^2)

F(x, y) = 1

F(0, y) = y/|y| = ±1

F(x, 0) = x/|x| = ±1

So the length vector is 1.

So the sketch vector field f is given below:

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The complete question is:

Sketch the vector field F by drawing a diagram like this figure.

F(x, y) = (yi + xj)/√(x^2 + y^2)

Answer:

D

Step-by-step explanation:

Answer:

Answer is D

Step-by-step explanation:

The value of the sequence a2 is (c) 75

From the question, we have the following sequence that can be used in our computation:

a₁ = 6 and an = 3 + 2(an-1)²

Substitute 2 for n in the equation an = 3 + 2(an-1)²

So, we have the following representation

a2 = 3 + 2(a2-1)²

This gives

a2 = 3 + 2(a1)²

Substitute a₁ = 6 in a2 = 3 + 2(a1)²

a2 = 3 + 2(6)²

Evaluate

a2 = 75

Hence, the value of a2 is 75

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The area of the sector of a circle  is 28π square miles

The area of a sector of a circle is equal to the area of the circle multiplied by the ratio of the central angle to the full circumference. Therefore, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to the area of the circle multiplied by the ratio of 2.8 radians to 2π radians (or the circumference of the circle). This means that the area of the sector is equal to 6^2π * 2.8/2π = 28π square miles. In other words, the area of the sector of a circle with a radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles. To visualize this, imagine a pizza slice with a radius of 6 miles. The area of the pizza slice is equal to 28π square miles. The area of the sector is the same as the area of the pizza slice. Therefore, the area of the sector of a circle with radius of 6 miles formed by a central angle of 2.8 radians is equal to 28π square miles.

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Using fractions, we can say that  0. 2×0. 002 equal 0. 4or in other way 0.0004.

What is a expression? What is a mathematical equation? What is Equation Modelling? What is denominator?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. In a fraction say (x/y), [y] is called denominator.

We have following expression -(0.2) • (0.002) = 0.0004

We have -

(0.2) x (0.002)

2/10 x 2/1000

1/5 x 1/500

1/2500

0.0004

Therefore, using fractions, we can say that 0.0004.

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Answer:

false

Step-by-step explanation:

Call the persons 1 through 7.

1,2

1,3

1,4

1,5

1,6

1,7

2,3

2,4

2,5

2,6

2,7

3,4

3,5

3,6

3,7

4,5

4,6

4,7

5,6

5,7

6,7

There are 21 handshakes.

1 handshaking 2 is the same as 2 handshaking 1.

6 × 7/2 = 21

Answer: false

Although part of your question is missing, you might be referring to this full question: If the 1st person saves 1/4 of total, 2nd person saves 2/3 of total, and 3rd person saves 1/10, which fraction left to pay for the birthday party?

The fraction left to pay for the birthday party is 17/30.

The calculation is as follows:

1 * 1/4 = 1/4 … (1)

1/4 * 2/3 = 2/12 … (2)

2/12 * 1/10 = 2/120 … (3)

Fraction left to pay:

= 1 - (1/4 + 2/12 + 2/120)

= 1 - (30/120 + 20/120 + 2/120)

= 1 - (52/120)

= 1 - 13/30

= 30/30 - 13/30

= 17/30

Thus, the fraction left to pay for the birthday party is 17/30.

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, where the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

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The domain and range is calculated to be

domain { x | 0 ≤ x ≤ 12 }

range (3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25 }

The situation described has the following information deduced form the problem

a parking garage that operates from 7:00 a.m. to 7:00 p.m.

from  7:00 a.m. to 7:00 p.m = 12 hours

hence form 0 to 12 is the domain

and charges $3 for the first hour and. $2 for each additional hour or part of an hour of parking

this means that the y intercept is 3 and the slope is 2, hence the equation of the line is

y = 2x + 3

The range is calculated as follows, since 11.59 is counted as 12 we take 11

at x = 0, y = 2 * 0 + 3 = 3

at x = 11, y = 2 * 11 + 3 = 25

the range is calculated to be 3 to 25

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Using the formula for the combination and with the And rule of probability, The answer is 20.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

It's formula is:

[tex]C(n,r) = \frac{n!}{r!*(n-r)!}[/tex]

orange balls = 5

yellow balls = 4

green balls = 1

probability = C(5,1)*C(4,1)*C(1,1)

=5*4*1

=20.

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Answer:

  0.2 m

Step-by-step explanation:

You want to know the height of a cylinder with 1 m radius and a volume of 628 liters.

The formula for the volume of a cylinder is ...

  V = πr²h

Using the given values, we have ...

  0.628 m³ = 3.14(1 m)²h

  0.2 m = h . . . . . . . . . divide by 3.14 m²

The depth of the water in the cylinder is 0.2 m.