21) Evaluate the expression with its given values.

x+y−7;x=3,y=6

g''(6) represents the second derivative of the function g(y) with respect to y, evaluated at y = 6, g''(6) is equal to 3888.

For g''(6), we need to take the second derivative of g(y) with respect to y and then evaluate it at y = 6. Let's go through the steps to find g''(6).

First, let's calculate the integral of f(x) with respect to t:

∫₀³ t² dt

Integrating t² with respect to t gives us:

[1/3 * t³] from 0 to 3

Substituting the limits of integration:

[1/3 * 3³] - [1/3 * 0³]

= 1/3 * 27 - 0

= 9

Therefore, the integral of f(x) with respect to t is 9.

Now, we can find g(y) by substituting the integral of f(x) into the expression for g(y):

g(y) = y⁴ * f(x) dx

     = y⁴ * ∫₀³ t² dt

     = 9 * y⁴

Now, we need to find the second derivative of g(y) with respect to y. Let's differentiate g(y) twice:

g'(y) = d/dy (9 * y⁴)

      = 36 * y³

g''(y) = d/dy (36 * y³)

       = 108 * y²

Finally, to find g''(6), we substitute y = 6 into the expression for g''(y):

g''(6) = 108 * (6)²

      = 108 * 36

      = 3888

Therefore, g''(6) is equal to 3888.

In summary, g''(6) represents the second derivative of the function g(y) with respect to y, evaluated at y = 6.

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The exact behavior and consequences depend on the Operations system's process management mechanisms and the actions taken by process z or the system's process manager.

When process y dies, the Operations system handles the termination of the process and performs certain actions related to its termination. Here are the likely outcomes when process y, with process x as its child and process z as its parent, dies:

1. Process y's termination: When process y dies, the operating system marks it as terminated and frees up any system resources that were allocated to it. This includes releasing memory, closing file descriptors, and removing its entry from the process table.

2. Parent-child relationship: Since process x is the child of process y, the operating system updates the parent-child relationship. Typically, when a parent process dies, the child process is reassigned to another process called the init process or is terminated if no other process adopts it. The exact behavior depends on the operating system's process management policies.

3. Process z's status: Process z, being the parent of process y, may receive a notification or a signal indicating the termination of its child process. The operating system usually sends a SIGCHLD signal to the parent process, allowing it to handle the termination of its child process appropriately. Process z can choose to ignore the signal or perform actions such as cleaning up resources or spawning a new child process to replace the terminated one.

4. Orphaned process: If process z does not handle the termination of process y appropriately or if process z itself terminates before process y, process x becomes an orphaned process. Orphaned processes are typically adopted by the init process or the system's process manager, ensuring that they are handled and terminated properly.

In summary, when process y dies, the operating system marks it as terminated, updates the parent-child relationship, and may notify process z. The exact behavior and consequences depend on the operating system's process management mechanisms and the actions taken by process z or the system's process manager.

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Answer:

x+y+z=12 this is equation

Answer:

The smaller number is 27 and the larger number is 44

Step-by-step explanation:

Let x = the larger number

Let y = the smaller number

x + y = 71

x = y + 17  Substitute in y + 17 for x in the first equation.

x + y = 71

y +17 + y = 71  Combine the y's.

2y + 17 = 71  Subtract 17 from both sides of the equation

2y = 54  Divide both sides of the equation by 2

y = 27.  Plug 27 in for y for either of the two original equation to find x

x + y = 71

x + 27 = 71  Subtract 27 from both sides of the equation

x = 44

AU AUB means the union of set A with set B. To simplify, we can see that since we're taking the union of A with itself (AUB), the result is just A. So the set can be expressed as {x|x belongs to A}.

B-(B-A) means we're taking set B and removing the elements that are in B but not in A. Simplifying this expression gives us the intersection of A and B, which is the set of elements that are in both sets. This can be expressed as {x|x belongs to A and x belongs to B}.

(B-B) - A means we're taking set B and subtracting the elements that are in B. Since we're left with an empty set, we can express this as {} or the empty set.

(B-C-A) SC means we're taking the complement of the set that is the result of subtracting sets C and A from set B. To simplify, we can first take the difference between C and A, which is the set of elements that are in C but not in A. We can then subtract this set from B to get the set of elements that are in B but not in C or A. Finally, we take the complement of this set, which is the set of elements that are not in this set, but are in the universal set S. This can be expressed as {x|x belongs to S and x doesn't belong to B-C-A}.

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To convert 107 centimeters (cm) to inches (in), you need to divide 107 by 2.54, as there are 2.54 centimeters in one inch. This results in 42.1259 inches, which is the equivalent value in inches.

To convert 107 centimeters (cm) to inches (in), you can divide the number of centimeters by 2.54, since there are 2.54 centimeters in 1 inch.

So, 107 cm is equal to 42.1259 inches, since:

107 cm / 2.54 = 42.1259 in

Therefore, 107 cm is equal to 42.1259 inches when converted.

Centimeters (cm) and inches (in) are both units of length or distance. Centimeters are part of the metric system, while inches are part of the imperial system.

To convert centimeters to inches, you can use the conversion factor of 1 inch = 2.54 cm. To convert 107 cm to inches, you can divide 107 by 2.54 to get the equivalent value in inches.

So, 107 cm divided by 2.54 equals approximately 42.1259 inches. It's important to note that when making conversions between units, you need to pay attention to significant figures and rounding rules, depending on the level of accuracy required for the application.

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Answer:

16

Step-by-step explanation:

perimeter of B = 21

divide by 3 to get each side: 21/3 = 7 = Y

perimeter of hexagon is 50. subtract 2Y: 50 - 14 = 36

divide 36 by 4 to find X = 9

add X + Y

Answer:

The least degree of the polynomial that assures an error smaller than 0.001 is 4.

The Lagrange error bound for the Taylor polynomial of degree n centered at x=2 for e^x is given by:

```

|e^x - T_n(x)| < \frac{e^2}{(n+1)!}|x-2|^{n+1}

```

where T_n(x) is the Taylor polynomial of degree n centered at x=2.

We want the error to be less than 0.001, so we have:

```

\frac{e^2}{(n+1)!}|x-2|^{n+1} < 0.001

```

We can solve for n to get:

```

n+1 > \frac{e^2 \cdot 1000}{|x-2|}

```

We know that |x-2| = 0.45, so we have:

```

n+1 > \frac{e^2 \cdot 1000}{0.45} \approx 6900

```

Therefore, n > 6899.

The least integer greater than 6899 is 6900, so the least degree of the polynomial that assures an error smaller than 0.001 is 4.

The fourth-degree Taylor polynomial centered at x=2 for e^x is given by:

```

T_4(x) = 1 + 2x + \frac{x^2}{2} + \frac{x^3}{6} + \frac{x^4}{24}

```

We can use this polynomial to estimate e^1.45 as follows:

```

e^1.45 \approx T_4(1.45) = 4.38201

```

The actual value of e^1.45 is 4.38202, so the error in this approximation is less than 0.001.

Step-by-step explanation:

The direction angles of the vector u = (-1, 9, -6) are approximately -6.1°, 64.8°, and -75.2° for the x, y, and z axes, respectively.

The direction angles of a vector are the angles that the vector makes with the positive x, y, and z axes. To find the direction angles of the vector u = (-1, 9, -6), we can use the formulas:

cosθx = u_x/||u||, cosθy = u_y/||u||, and cosθz = u_z/||u||

where θx, θy, and θz are the angles that u makes with the x, y, and z axes, respectively, and ||u|| is the magnitude of u, given by:

||u|| = √(u_x² + u_y² + u_z²)

Substituting the values of u, we have:

||u|| = √((-1)² + 9² + (-6)²) = √118

cosθx = -1/√118 ≈ -0.183, cosθy = 9/√118 ≈ 0.551, and cosθz = -6/√118 ≈ -0.366

Taking the inverse cosine of each of these values, we get:

θx ≈ -6.1°, θy ≈ 64.8°, and θz ≈ -75.2°

Therefore, the direction angles of the vector u are approximately -6.1°, 64.8°, and -75.2° for the x, y, and z axes, respectively.

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Answer:

\(55 \leqslant x < 65 \)

The amount that Dado will pay for 1 xylobar and 2 yakities is 1.779.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Zimak bought 3 xylobars and 5 from the intergalactic Candy. Let this be:

3x + 5y = 1.75

x = xylobars

y = yackities

Jeejuju paid 1.88 and got 4 xylobars and 1 yackity. Let this be:

4x + y = 1.88

Equate the equations and this will be:

4x + y = 1.88 ....... i

3x + 5y = 1.75 .... ii

From equation i y = 1.88 - 4x

Put this into equation ii

3x + 5y = 1.75

3x + 5(1.88 - 4x) = 1.75

3x + 9.4 - 30x = 1.75

Collect like terms

3x - 30x = 1.75 - 9.4

-27x = -7.65

Divide

x = 7.65 / 27

x = 0.283

xylobars = 0.283

Since 4x + y = 1.88

4(0.283) + y = 1.88

1.132 + y = 1.88

y = 1.88 - 1.132

y = 0.748

The cost for 1 xylobar and 2 yakities will be:

x + 2y

0.283 + 2(0.748)

= 0.283 + 1.496

= 1.779

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Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

Hi

So:   720 -600 = 120

120 for two years makes   120/2 = 60 in a year .  

60 from 600 is   600/60 = 10  

Interest is  10 %  

If interest in 2% more, then it's 12%.  

I'm sure you can count 12% simple interest for two years, so I let you try.  

good luck.

We are required to know if the point (4,10) is a solution of the equation

5x + 10y = 120

If a point is a solution of the given equation, then when we replace x = 4 and y = 10 in the equation, the condition must stand, that is:

5(4) + 10(10) should be equal to 120

Evaluating the operations, we have:

20 + 100 = 120

Note the result of the operations equals the right side of the equation, thus we conclude the point (4,10) is a solution of 5x + 10y = 120

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

Step-by-step explanation:

16. 6.9, or 69/10

17. D,  12 feet

18. 6 11/12

Step-by-step explanation:

\(4 + 9 - ( - 2) \\ 4 + 9 + 2 = 15\)

Answer:

15

Step-by-step explanation:

➲ Solve

    \(4+9=13\\13-\left(-2\right)\\-\left(-2\right)=+2\\13+2\\13+2=15\)

Answer:

A. 2

B. 3

C. 1

Step-by-step explanation:

The length of crossbar that Sasha need to complete the kite is equal to √8 units.

By critically observing the image of the kite shown below, we can logically deduce that the crossbar and the two (2) given lengths formed a right-angled triangle as illustrated by the right angle symbol between the two given sides.

In order to determined, we would have to apply Pythagorean's theorem. Mathematically, Pythagorean's theorem is given by this mathematical expression:

a² + b² = c²

Where:

a, b, and c represents the side lengths of a right-angled triangle.

Substituting the given parameters into Pythagorean's theorem, we have the following;

c² = a² + b²

c² = 2² + 2²

c² = 4 + 4

c = √8 units.

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The following would need to be congruent to show that ΔABC ≅ ΔXYZ by AAS: A. ∠B ≅ ∠Y.

In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Furthermore, the lengths of three (3) pairs of corresponding sides or corresponding side lengths are proportional to the lengths of corresponding altitudes when two (2) triangles are similar.

Based on the angle, angle, side (AAS) similarity theorem, we can logically deduce that triangle ABC and triangle XYZ are both congruent due to the following reasons:

∠A ≅ ∠X.

∠B ≅ ∠Y.

AC ≅ XZ

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According to the information in the graph Carissa used the motor for the first twelve minutes, then rowed for the next 12 minutes. During the next 48 minutes she dropped the ship's anchor and finally, during the last 18 minutes she returned to the starting point using the motor.

To identify the moments in which Carissa used the motor, the oars or the anchor we must look at the graph. Additionally, we must be clear that when she uses the motor she is faster than when she uses the oar and that when she uses the anchor she is totally stopped.

Based on the above, we can infer that:

the first twelve minutes, then rowed for the next twelve minutes. During the next forty-eight minutes he dropped the ship's anchor and finally, during the last eighteen minutes, he returned to the starting point using the motor.

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Answer:

75

Step-by-step explanation:

x = 5

Input 5 into the f(x) equation.

f(5) = 3(5)²

f(5) = 3 × 25

f(5) = 75

Hope that helps.

Answer:

75 is the correct answer for above questions.

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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Answer:

О  B. Standard deviation.

Step-by-step explanation:

Standard deviation measures the dispersion of a data distribution (variability in scores).

...

Answer:

Mean: 85

Median: 90

Step-by-step explanation:

Using conditional statements we can say that three plus two does not equal four, Hence the second statement is false.

In mathematics, a statement is a declarative speech that has only two possible outcomes: true or false.

The given statements are: (Mathematically)

1 + 2 = 3

3 + 2 = 4

3 + 2 ≠ 4

We know that from the properties of addition:

1 + 2 = 3 this statement is true.

3 + 2 = 4 , this statement is false

3 + 2 ≠ 4 , this statement is also true.

Hence we can conclude that only the second statement is false.

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Answer:

Draw a line going down from the 300, with a break in the middle and finish it out at the 6 hr mark.

Step-by-step explanation:

Start at the 300 and draw that line down to the 180 mark lined up with the 2 hour dot. Then draw a horizontal line from there to the middle of the 2 and the 4. Then draw a line from where you ended the break with the same slope as the beginning.

Hope this helps!