Consider the problem min 22 – (21 – 2)3 + 3 subject to X2 > 1 Which one is the extremizer point? O x=[0,2] O x=(2,2] O x=(2,1] Ox=[1,2] O x=(1,1] O x=[0,1] x=[2,2]

17.3

52÷3=17.3

if i am mistaken

Those are vertical angles which are equal to each other:

2x + 2 = 3x - 52

Add 52 to both sides:

2x + 54 = 3x

Subtract 2x from both sides:

54 = x

Rewrite as x = 54

Answer:

cos(71)

Step-by-step explanation:

Since 19° is less than 90, we can express this in terms of confunction.

sin(θ) = cos(90-θ)

sin(19) = cos(90-19)

sin(19) = cos(71)

The prefix length notation for the subnet mask 255.255.255.224 is /27.

The length of something refers to its size or length measured from end to end. In other words, it is the larger of an object's higher two or three geometric dimensions. For instance, a rectangle's dimensions are determined by its length and width.

The prefix-length defines a range of devices. It is represented by a slash (/) after an integer between 1 and 128.

There are 27 bits in the subnet mask 255.255.255.224 that are set to 1, giving it a prefix length of /27. Hence, /27 is used to represent the prefix length for the subnet mask 255.255.255.224.

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Hey there!

(8x - 4) + (-2x + 3)

= 8x - 4 + (-2x) + 3

= 8x - 4 - 2x + 3

COMBINE the LIKE TERMS

= (8x - 2x) - (4 + 3)

= 8x - 2x - 4 + 3

= 6x - 1

Therefore, your answer is: 6x - 1

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

To find the number of years with temperatures within one standard deviation of the mean, we will follow these steps:

1. Determine the range of temperatures within one standard deviation: Since the mean temperature is 24° and the standard deviation is 4°, the range would be from (24 - 4)° to (24 + 4)°, or 20° to 28°.
2. Count the years with temperatures within this range in the chart (unfortunately, the chart is not provided).
3. Select the appropriate answer from the given options (20, 25, 28, or 35).

In summary, to find the number of years with temperatures within one standard deviation of the mean (24° with a standard deviation of 4°), we need to count the years with temperatures between 20° and 28° in the provided chart.    

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Answer:

its B. on edge 2023

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

Answer:

s=\(\frac{2}{3}\)

Step-by-step explanation:

Answer:

Yes he did break the speed limit

Step-by-step explanation:

If he stuck to the speed limit it would have taken him 6 hours to go 540 kilometers

Answer: \(a=1, b=-\frac{\pi}{2}\)

Step-by-step explanation:

Note that \(\sin \theta=\cos \left(\frac{\pi}{2}-\theta \right)\).

Since the cosine function is an even function, we can say that \(\sin \theta =\cos \left(\theta-\frac{\pi}{2} \right)\).

Therefore, we can choose \(a=1, b=-\frac{\pi}{2}\).

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Tan = Opposite/Adjacent

Sin = Opposite / Hypotenuse

Cos = Adjacent / Hypotenuse

Step-by-step explanation:

1.) C. 5/12

2.) B. 12/13

3.) A. 12/5

4.) B. 12/13

Answer:

the first one, it's linier (even)

The first graph is the one that represents an even function. See why below.

An even function is a mathematical function where f(x) = f(-x) for all x in the function's domain. It exhibits symmetry with respect to the y-axis.

The graph of an even function is symmetric with respect to the y-axis. If you fold the graph along the y-axis, the two halves will overlap perfectly.

Understanding even functions is relevant because they possess specific symmetry properties, which can help in analyzing and solving mathematical problems involving symmetry and function transformations.

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The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.

Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:

dy/dx = 4x^3 - 20x

To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:

dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16

Therefore, the slope of the tangent line is -16.

To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:

y - y(1) = -16(x - 1)

Expanding the equation and simplifying, we have:

y - y(1) = -16x + 16

Rearranging the equation, we obtain the equation of the tangent line:

y = -16x + (y(1) + 16)

To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.

In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.

The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.

To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.

Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).

The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.

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The pair of figures having same volume are:

1. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units ; The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

2. The cylinder has a radius of 3 units and a height of 8 units ; The cone has a radius of 6 units and a height of 6 units.

3. The cone has a radius of 8 units and a height of 9 units ; The cylinder has a radius of 4 units and a height of 12 units.

What is volume of a figure?

A measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.

1. 3-D shape of a cone is represented. The cone has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(4^{2} \frac{12}{3}\)

⇒ Volume = 64 π

⇒ Volume = 201 cubic units

2. 3-D shape of a rectangular prism is represented. The rectangular prism has a length of 18 units, a width of 6 units, a height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 18 * 6 * 6

⇒ Volume = 648 cubic units

3. 3-D shape of a rectangular prism is represented. The rectangular prism length is labeled 16 units, width of 6 units, and height of 6 units.

⇒ Volume = length * width * height

⇒ Volume = 16 * 6 * 6

⇒ Volume = 576 cubic units

4. 3-D shape of a cylinder is represented. The cylinder has a radius of 3 units and a height of 8 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(3^{2}\) * 8

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

5. 3-D shape of a cone is represented. The cone has a radius of 8 units and a height of 9 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(8^{2} \frac{9}{3}\)

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

6. 3-D shape of a rectangular prism is represented. The rectangular prism length is labeled 8 units, width of 8 units, height of 9 units.

⇒ Volume = length * width * height

⇒ Volume = 8 * 8 * 9

⇒ Volume = 576 cubic units

7. 3-D shape of a cylinder is represented. The cylinder has a radius of 4 units and a height of 12 units.

⇒ Volume = π\(r^{2}\)h

⇒ Volume = π\(4^{2}\) * 12

⇒ Volume = 192 π

⇒ Volume = 603 cubic units

8. 3-D shape of a cone is represented. The cone has a radius of 6 units and a height of 6 units.

⇒ Volume = π\(r^{2} \frac{h}{3}\)

⇒ Volume = π\(6^{2} \frac{6}{3}\)

⇒ Volume = 72 π

⇒ Volume = 226 cubic units

Hence, the required solution has been obtained. Three pairs have same volume.

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The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

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The given statement "The dimension of an eigenspace of a symmetric matrix is sometimes less than the multiplicity of the corresponding eigenvalue." is False.

The eigenspace is the set of all eigenvectors related to a single eigenvalue.

An eigenvector is a nonzero vector that does not change direction under a linear transformation represented by a matrix, it only scales.

An eigenvector is connected with an eigenvalue, which is the factor that scales the eigenvector when the linear transformation is applied.

A square matrix is symmetric if and only if it is equal to its transpose.

A square matrix is symmetric if it is symmetric about its principal diagonal.

Let's consider the given statement, the dimension of an eigenspace of a symmetric matrix is sometimes less than the multiplicity of the corresponding eigenvalue.

This statement is not true.

It is false, because:

Let A be a symmetric matrix with eigenvalue λ, and let E(λ) be the eigenspace of λ.

Then, the dimension of E(λ) is at least the multiplicity of λ as a root of the characteristic polynomial of A.

This is due to the fact that the dimension of the eigenspace related to a certain eigenvalue λ is always greater than or equal to the algebraic multiplicity of that eigenvalue.

The algebraic multiplicity of λ is the number of times λ appears as a root of the characteristic polynomial of A.

The eigenspace E(λ) of A is a subspace of dimension greater than or equal to the algebraic multiplicity of λ.

Therefore, the given statement "The dimension of an eigenspace of a symmetric matrix is sometimes less than the multiplicity of the corresponding eigenvalue." is False.

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The matrix E that produces both zeros at once is E = |1 0 0| |0 1 0| |-8 1 1| and EA = |2 1 0| | -4 1 0| |0 4 3|.

The matrix E21 is the matrix that produces zeros in the (2, 1) position of E21A, and it can be obtained by performing an elementary row operation of subtracting twice the first row from the second row. Thus,

E21 = |1 0 0|

|-2 1 0|

|0 0 1|

Similarly, the matrix E31 is the matrix that produces zeros in the (3, 1) position of E31A, and it can be obtained by performing an elementary row operation of subtracting four times the first row from the third row. Thus,

E31 = |1 0 0|

|0 1 0|

|-4 0 1|

To obtain the single matrix E that produces both zeros at once, we simply multiply E31 by E21, i.e.,

E = E31E21 = |1 0 0| |1 0 0| |1 0 0|

|0 1 0| x |-2 1 0| = |0 1 0|

|-4 0 1| |0 0 1| |-4 0 1|

E = |1 0 0|

|0 1 0|

|-8 1 1|

Finally, to obtain EA, we simply multiply E by A, i.e.,

EA = E A = |1 0 0| |2 1 0| |2 1 0|

|0 1 0| x |-2 0 1| = |-4 1 0|

|-8 1 1| |8 5 3| |0 4 3|

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Step 1

Remove full rotations of 360 degrees until the angle is between 0 and 360 degrees

Step 2

Hence, we find sin 120 using reference angles in the first quadrant

Therefore,

Answer sin 480 =(√3)/2

The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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Answer:a

Step-by-step explanation:

The equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

The measure is given as:

0.85 hg

As a general rule:

1 hectogram (hg) = 1000 decigram (dg)

So, multiply both sides of the above equation by 0.85

So, we have:

0.85 * 1 hectogram (hg) = 0.85 * 1000 decigram (dg)

Evaluate the product

0.85 hectogram (hg) = 850 decigram (dg)

Hence, the equivalent of 0.85 hectogram (hg) is 850 decigram (dg)

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Answer:1/7

Step-by-step explanation: You take the amount that are springer spaniels and you put them with the whole of the dogs in the park 14 so you would have 2/14. You can reduce this fraction to 1/7 by dividing both the top and bottom of the fraction by 2.

Answer:

4 cm

Step-by-step explanation:

For a rectangle,

2(Length)+ 2(width) = perimeter

Let length be x,

2(x) + 2(x-3) = 22

4(x) - 6 = 22

X = 7cm

Width = X-3

Answer:

First = 1251

Second = 1260

Third = 1268

Step-by-step explanation:

First: 9x

Second: 9(x+1)

Third: 9(x+2)

\({ \tt{first + second = 2511}} \\ { \tt{9x + 9(x + 1) = 2511}} \\ { \tt{9x + 9x + 9 = 2511}} \\ { \tt{18x = 2502}} \\ { \tt{x = 139}}\)

First = 9 × 139 = 1251

First = 9 × 139 = 1251Second = 9(139 + 1) = 1260

First = 9 × 139 = 1251Second = 9(139 + 1) = 1260Third = 9(139 + 2) = 1268

The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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Answer:

The maximum height of the rocket is about 391.1 feet.

Step-by-step explanation:

The height of the rocket y in feet x seconds after launch is modeled by the equation:

\(y=-16x^2+125x+147\)

We want to find the maximum height reached by the rocket.

Since this is a quadratic equation, the maximum height occurs at the vertex. The vertex of a quadratic is given by:

\(\displaystyle \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)\)

In this case, a = -16, b = 125, and c = 147.

Thus, the x-coordinate of our vertex is:

\(\displaystyle x=-\frac{125}{2(-16)}=\frac{125}{32}\)

To find the maximum height, we will substitute this value back in. So:

\(\displaystyle y_{\text{max}}=-16\left(\frac{125}{35}\right)^2+125\left(\frac{125}{32}\right)+147\approx391.1\text{ feet}\)

The maximum height of the rocket is about 391.1 feet.