LMNO is a kite. LO is 5 less than two times NO. The perimeter is 32 cm. Let x represent the length of side NO.

Answer:

the 2 one would be the correct answer

The transitive closure of {a,b,c,d,e} is option A which is {(a, c), (b, d), (c, a), (d, b), (e, d)}.

In mathematics, the transitive closure of a paired connection R on a set X is the littlest connection on X that contains R and is transitive. For limited sets, "smallest" can be taken in its standard sense, of having the least related matches; for boundless sets, it is the unique minimal transitive superset of R. Hence the transitive closure of {a,b,c,d,e} is option A which is {(a, c), (b, d), (c, a), (d, b), (e, d)}.

The reflexive closure of {a,b,c,d,e} is {(a,a),(a,e),(b,a),(b,b),(b,d),(c,c),(c,d),(d,a),(d,c),(d,d),(e,a),(e,b),(e,c),(e,e)}

as reflexive closure is the union of relation R and the identity relation on set so{ (a, a),(b,b),(c,c),(d,d),(e,e)} U {R} will result in {(a, a),(a,e),(b, a),(b,b),(b,d),(c,c),(c,d),(d, a),(d,c),(d,d),(e, a),(e,b),(e,c),(e,e)}

Symmetric closure will be the union of relation R and the inverse of relation R so the symmetric closure will be

{(a,e),(b,a),(a,b),(b,d),(d,b),(c,d),(d,c),(d,a),(a,d),(e,b),(b,e),(e,c),(c,e),(e,e)}.

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Answer: my best guess is… (a, b, c, d, e}

Step-by-step explanation: I hope this helps<3

The numerical length of the line segment FG is 10 units.

An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Point G is on FH, hence:

FH = FG + GH

Given that GH = 8, FH = 3x + 3, FG = 2x, hence:

3x + 3 = (2x) + 8

x = 5

FG = 2x = 2(5) = 10

The numerical length of the line segment FG is 10 units.

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Answer: 4: -10-4√3

Step-by-step explanation: The square root of 36 is 6, but the outside is negative so -6. And the square root of 16 is -4. So -4-6=-10 then us a factor tree to simplify -√48 to get -4√3

based on the small p-value, we have evidence to reject the null hypothesis in favor of the alternative hypothesis, suggesting that there is a significant difference in the proportions of men and women favoring increased security at airports.

What is Hypothesis?

A hypothesis is an educated guess while using reasonable thinking, about the answer to a scientific question. Although it is not proof in an experiment, it is the predicted outcome of the experimentation. It can either be supported or not supported at all, but it depends on the data gathered.

Based on the provided information, the correct interpretation of the p-value would be:

P-value = 0.0086; If there is no difference in the proportions, there is about a 0.86% chance of seeing the observed difference or larger by natural sampling variation.

The p-value of 0.0086 indicates that the probability of observing the difference in proportions (favoring increased security at airports) as extreme as or larger than the one observed in the sample, assuming there is no difference in the population proportions, is approximately 0.86%.

In other words, if the null hypothesis were true (i.e., there is no difference in proportions between men and women favoring increased security at airports), there is a very low probability of obtaining the observed difference or a larger difference due to natural sampling variation.

Therefore, based on the small p-value, we have evidence to reject the null hypothesis in favor of the alternative hypothesis, suggesting that there is a significant difference in the proportions of men and women favoring increased security at airports.

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If on january 1, year 1, billy co signed a three-year lease for office space The amortization expense on this leasehold improvement that Billy should  record for Year 2 is: $1,000.

Since we were told that the new overhead lighting fixtures is the amount of $2,000 now let determine the  Amortization expense using this formula

Amortization expense = New overhead lighting fixtures / 2 years

Let plug in the formula

Amortization expense =  $2,000 /2

Amortization expense = $1,000

Therefore the  Amortization expense  is the amount of $1,000.

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The complete question:

On January 1 , Year 1, Billy Co. signed a three year lease for office space. The lease required monthly rent of 8,000 for the first year. 8,100 for the second year and 8,200 for the 3rd year. Billy has the option to renew the lease for a fourth year at 8,300 per month. On January 1, Year 2, Billy permanently installed new overhead lighting fixtures at a cost of $2,000. How much amortization expense on this leasehold improvement should Billy record for Year 2?

The value of 'x' in the algebraic equation is x = dc/a - b - d  where a ≠ b+d.

It is given that the algebraic equation  :

ax-bx/x+c = d

It is required to solve the algebraic (polynomial) equation if  a ≠ b+d

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an algebraic equation:

ax-bx/x+c = d

ax-bx/x+c = d

ax - bx = d(x+c)

ax - bx = dx + dc

ax - bx - dx = dc

(a - b - d)x = dc

x = dc/a-b-d

Thus the value of x in the algebraic equation is x = dc/a - b - d

where a ≠ b+d

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The probability that student A or B can solve a problem chosen at random is 0.95.

Probability is calculated by dividing the number of favourable outcomes by the number of possible outcomes.

Random: An event is referred to as random when it is not possible to predict it with certainty. The probability that either student A or B will be able to solve a problem chosen at random can be calculated as follows:

P(A or B) = P(A) + P(B) - P(A and B) where: P(A) = probability of A solving a problem = 0.75, P(B) = probability of B solving a problem = 0.7, P(A and B) = probability of both A and B solving a problem. Since A and B are independent, the probability of both solving the problem is:

P(A and B) = P(A) x P(B) = 0.75 x 0.7 = 0.525

Now, using the above formula: P(A or B) = P(A) + P(B) - P(A and B) = 0.75 + 0.7 - 0.525 = 0.925

Therefore, the probability that student A or B can solve a problem chosen at random is 0.95 (or 95%).

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The percent of the total area under the standard normal curve between z = -1.5 and z = -0.7 is 18%.

To find the percent of the total area between two z-scores, we need to calculate the area under the standard normal curve between those two z-scores.

Using a standard normal distribution table or a statistical software, we can find the area to the left of each z-score and subtract the smaller area from the larger area to find the area between the z-scores.

For z = -1.5, the area to the left of z = -1.5 is approximately 0.0668.

For z = -0.7, the area to the left of z = -0.7 is approximately 0.2420.

The area between z = -1.5 and z = -0.7 is:

Area between z = -1.5 and z = -0.7 = Area to the left of z = -0.7 - Area to the left of z = -1.5

= 0.2420 - 0.0668

= 0.1752

To convert this area to a percentage, we multiply by 100:

Percentage of the total area between z = -1.5 and z = -0.7 = 0.1752 * 100 ≈ 17.52%

Rounding to the nearest integer, the percent of the total area between z = -1.5 and z = -0.7 is 18%.

The percent of the total area under the standard normal curve between z = -1.5 and z = -0.7 is approximately 18%.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

The activity ratio in the value stream measures the efficiency of the production process by evaluating the ratio of value-added activities to non-value-added activities.

The activity ratio is a performance metric used in value stream mapping, which is a lean management tool for analyzing and improving the flow of materials and information in a production process.

It focuses on distinguishing value-added activities, which directly contribute to meeting customer requirements, from non-value-added activities, which do not add value but consume resources and time.

By calculating the activity ratio, organizations can assess the proportion of time and resources spent on value-added activities versus non-value-added activities.

A higher activity ratio indicates that a greater portion of resources is dedicated to value-added activities, indicating improved efficiency and reduced waste.

Conversely, a lower activity ratio suggests a higher proportion of resources being utilized for non-value-added activities, indicating potential areas for improvement and waste reduction.

The activity ratio serves as a valuable diagnostic tool for organizations to identify process inefficiencies, bottlenecks, and areas for improvement. By analyzing the activity ratio, organizations can streamline their processes, eliminate waste, and optimize resource allocation to enhance overall productivity and customer value.

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The correct option is C, The given graph represents the rational function   \(\frac{1}{(x-1)(x-2)}\).

Mathematicians use graphs to variable logically depict or chart sentences or values in a visual way. Usually, a graph point shows the connection between two or more objects. A graph is a particular kind of non-linear side chain up of parts known as nodes as well as lines. The borders, also referred to as nodes, should be joined together with glue. The node numbers in this graph are 1, 2, 3, and 5.

Upon solving the given function,

\(\frac{1}{(x-1)(x-2)}\),

As, it is clear from the function that the value of x cannot be 1 or 2,

So,

The graph doesn't lie on x = 1 or x = 2.

So, it is the correct option.

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As x and 68° are alternate interior angles, so, x = 68°.

We are given a set of parallel lines and a transversal.

We can see that:

The type of angle pairs is alternate interior angles.

( as it forms an inverted F-shape)

Now, these angles are 68° and x°.

So, we know that, the alternate interior angles are equal to each other.

So, we get that:

x = 68°

Therefore, as x and 68° are alternate interior angles, so, x = 68°.

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Answer:

The correct option is;

\(The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}\)

Step-by-step explanation:

The given information is that m(x) = x² - 17·x

The above equation can be written in the form;

y = x² - 17·x

Therefore;

0 = x² - 17·x - y

From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;

\(x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}\)

By comparison to the equation,0 = x² - 17·x - y, we have;

a = 1, b = -17, and c = -y

Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;

\(x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}\)

Which can be simplified as follows;

\(x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}\)

And further simplified as follows;

\(x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}\)

Interchanging x and y in the function of the inverse, m⁻¹(x), we have;

\(m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}\)

We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;

m'(x) = 2·x - 17 = 0

x = 17/2

Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;

m''(x) = 2 > 0, therefore, the point is a minimum point on the graph

Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;

\(The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}\) to increase m⁻¹(x) above the minimum.

Answer:

b

Step-by-step explanation:

edge 2021

Answer:

First send the graph then we can help you in your answer

Answer:

D. 80

Step-by-step explanation:

The graph shows that about 3/8 ( 37.5% ) of the students enjoy comic books.

200 × .375 = 75

75 rounded to the nearest tens value is 80

For anyone wondering, the graph was on a different question that this person asked.

All the solutions to the equation (z+1)7=z7 have equal real parts, and this real part is equal to 1/2.

Complex numbers are those that are expressed as a + ib, where a and b are actual numbers and I is a fictitious number called a "iota." I has the value (-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im).

Given that

\((z+1)^7=z^7\)

can also be written as

\(|z+1|=|z|\)

\(|z+1|^2=|z|^2\)

\(z\bar{z}+z+\bar{z}+1=z\bar{z}\)

2Re(z)=1

z=-1/2

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Each terminology should be matched to its definition as follows:

ICS is an abbreviation for incident command system and it can be defined as a subset of the National Incident Management System (NIMS) which is typically used for planned events, as well as for emergencies and coordinated responses in various business organizations and/or circumstances.

Generally speaking, there are six (6) fundamental functional areas in an incident command system (ICS) and these including the following;

In conclusion, chain of command, unity of command, and unified of command are all terminologies that are associated with an incident command system (ICS).

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The difference in the average rate of change of Chris' savings and Lily's savings in the period from Month 3 to Month 12 is given as follows:

A. $5.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

Chris savings increased from 35 to 170 in the period from Month 3 to Month 12, hence the average rate of change is given as follows:

(170 - 35)/9 = $15.

Lily's Savings increased from 30 to 120 in the period from Month 3 to Month 12, hence the average rate of change is given as follows:

(120 - 30)/9 = $10.

Hence the difference is of:

15 - 10 = $5.

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Answer:

(1, 0) ; (3, 0)

Step-by-step explanation:

Use the figure to identify another name for ∠ C A D .

Option 2 is correct that is  ∠CAD=∠1=∠DAC.

Given in the picture we can see there is a diagram and 4 options.

∠ is the symbol of angle.

1st option is

∠4,∠ACD is the another name of  ∠CAD .

No, the option 1 is wrong it is not the other name of ∠CAD.

Because, ∠CAD=∠1.

Now,

2nd option is

∠1,∠DAC is the another name of  ∠CAD .

Yes, the option 2 is the other name of ∠CAD.

Because, ∠CAD=∠1=∠DAC.

Now,

3rd option is

∠2,∠DEA is the another name of  ∠CAD .

No, the option 3 is wrong it is not the other name of ∠CAD.

Because, ∠CAD=∠1.

Now,

4th option is

∠3,∠EDC is the another name of  ∠CAD .

No, the option 4 is wrong it is not the other name of ∠CAD.

Because, ∠CAD=∠1.

Therefore, Option 2 is correct that is  ∠CAD=∠1=∠DAC.

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Answer: 1

Step-by-step explanation:

Answer:

120$

Step-by-step explanation:

Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;

60° + 70° + y = 180°

130° + y = 180°

y = 180° - 130°

y = 50°

Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.

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If sentence 6 states that ¬C is true, and sentence 7 presents a conditional statement with C as the antecedent and Q as the consequent, we can use modus ponens to infer that Q is false.

Modus ponens is a deductive reasoning rule that allows us to derive a conclusion from a conditional statement and its antecedent. Therefore, we can apply modus ponens to sentence 7 given that we know ¬C from sentence 6.
Since from sentence 6 we know ¬C, we can apply modus ponens to sentence 7. To do this, follow these steps:
1. Identify the premises: One premise is sentence 6, which states ¬C. The other premise should be a conditional statement, such as "If ¬C, then P" (replace P with the relevant proposition).
2. Apply modus ponens: Modus ponens is a rule of inference that allows us to deduce a conclusion from the given premises. If we have the premises "If ¬C, then P" and "¬C", we can conclude "P" using modus ponens.
3. State the conclusion: After applying modus ponens, we can conclude "P" based on the given premises, which include sentence 6 (¬C) and the conditional statement.

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The derivative of the vector function r(t) is r'(t) =\(-3e^(3t)sin(4t)i + 3e^(3t)cos(4t)j + 12e^(3t)k.\) The norm of the derivative, r'(t), can be found by taking the square root of the sum of the squares of its components, resulting in \(sqrt(144e^(6t) + 9e^(6t)).\)

To find the derivative r'(t), we differentiate each component of the vector function r(t) with respect to t. Differentiating \(e^(3t)\) gives \(3e^(3t)\), while differentiating cos(4t) and sin(4t) gives -4sin(4t) and 4cos(4t), respectively. Multiplying these derivatives by the respective i, j, and k unit vectors and summing them up yields r'(t) = \(-3e^(3t)sin(4t)i + 3e^(3t)cos(4t)j + 12e^(3t)k\).

The norm of the derivative, r'(t), represents the magnitude or length of the vector r'(t). It can be calculated by taking the square root of the sum of the squares of its components. In this case, we have r'(t) = \(sqrt((-3e^(3t)sin(4t))^2 + (3e^(3t)cos(4t))^2 + (12e^(3t))^2) = sqrt(9e^(6t)sin^2(4t) + 9e^(6t)cos^2(4t) + 144e^(6t))\). Simplifying this expression results in sqr\(t(144e^(6t) + 9e^(6t))\).

The unit tangent vector T(t) is found by dividing the derivative r'(t) by its norm, T(t) = r'(t) / r'(t). Similarly, the principal unit normal vector N(t) is obtained by differentiating T(t) with respect to t and dividing by the norm of the resulting derivative.

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The boats are approximately 9.4 units apart.

To find the distance between two points in a coordinate plane, we can use the distance formula:

distance =\(\sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

Using this formula, we can find the distance between Boat A at (4.2, -2) and Boat B at (-5.2, -2):

distance = \(\sqrt{((-5.2 - 4.2)^2 + (-2 - (-2))^2)}\)

distance = \(\sqrt{((-9.4)^2 + (0)^2)}\)

distance =\(\sqrt{(88.36)}\)

distance ≈ 9.4

Therefore, the boats are approximately 9.4 units apart.

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Answer:

S(1,2)

Step-by-step explanation:

The value that is being altered is the y value if you go from Q to T and then T to S. The x value = 1 and remains the same for point S.

To go from Q to T, you go from 8 to 5 on the y value. Remember x remains the same. That's three units (8 - 5 = 3)

To go from T to S must be 3 units as well, since the small diagonal is bisected. 5 - 3 = 2 is the answer.

So point S is noted as S(1,2)

Answer:

D is your answer

Step-by-step explanation:

Use desomos graphing calculator for problems like this in the future! Hope this helps:)

The vertex form of the equation is in the form of y = a(x-h)^2 + k.

Step 1: Use the formula below to solve for a.

a = -1/4 * (4 - 12) = -1

Step 2: Use the formula below to solve for h.

h = -b/(2a) = 12/(2(-1)) = -6

Step 3: Use the formula below to solve for k.

k = f(h) = -(-6)^2 + 12(-6) - 4 = 36

Therefore, the vertex form of the equation is y = -(x+6)^2 + 36.

A vertex, or particular point, is a place where two or more lines or edges meet in a mathematical object. Angles, polygons, polyhedra, and graphs are where vertices are most frequently seen. Nodes and vertices in a graph are the same thing.

Recall that a parabola's General Form is y = ax2 + bx + c. The x-coordinate of the vertices, which is x = - b/2a, must first be discovered in order to find the vertex from this form. You will use this number to replace x in the parabola equation once you have determined the x-coordinate of the vertex.

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