How do we classify the critical point if both eigenvalues are complex iwht nonzero real part?

Answer:

500=D 100=M

Step-by-step explanation:

I hope that helps :D

Step-by-step explanation:

I can't draw here, but I can describe :

an isoceles triangle means that 2 sides of the triangle are equally long (they are typically called the "legs" left and right on top of the baseline).

this fact makes the triangle symmetrical.

and that means that 2 angles are also equal (the angles of the legs with the baseline).

so, knowing that one angle is 34 degrees can mean 2 things :

either 34 degrees is the angle between the 2 legs, or it is one of the 2 equal angles between legs and baseline.

as we know the sum of all angles in a triangle is always 180 degrees.

so case 1 : 34 degrees is the angle between the legs

180 = 34 + 2×base-leg-angle

144 = 2×base-leg-angle

each base-leg-angle = 72 degrees

case 2 : 34 degrees is one of the base-leg-angles

180 = 2×34 + between-the-legs-angle

180 = 68 + between-the-legs-angle

between-the-legs-angle = 112 degrees

so, you need to draw one triangle for each case.

since we don't know anything about the side lengths, size does not matter. only the angles need to be correct :

one triangle with 34, 72, 72 degrees

and one triangular with 34, 34, 112 degrees

the answer to your math question is (−2,−27)

Answer:

(-2,-27)

Step-by-step explanation:

use the formula

x = b/2a

to find the maximum and minimum

Answer:

r=6.4

Step-by-step explanation:

Get r by itself you need to add 8.5 to get 6.4

Hope this helps (:

Answer:

r-8.5=-2.1

r=-2.1+8.5

r=6.4

Step-by-step explanation:

9514 1404 393

Answer:

  48

Step-by-step explanation:

The measure of the angle where the chords cross is the average of the measures of the intercepted arcs.

  (70 +x)/2 = 59

  x = 2×59 -70

  x = 48

Answer:

97

Step-by-step explanation:

100-3(3y-4x)

97(3×7-4×5)

97(21-20)

97(1)

=97

She should have requested a certified claim when she sent her final decision

This is further explained below.

Generally, A certified claim was something the contracting officer probably would have asked for.

Within sixty days of the receipt of a certified claim for more than one hundred thousand dollars, a contracting officer is obligated to either (A)issue a final decision; or (B)notify the contractor of the time period within which a final decision will be issued. One of these two options must be followed.

In conclusion, When she should have handed in her final decision, she should have asked for a certified claim instead.

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Let x and y be the first and second number.

The sum is 44

x + y = 44

if one of the number, say x , us 13, the other number , y is:

13 + y = 44

y = 44- 13

y = 31

The two numbers are 13 and 31

th

The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.

The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.

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Combining the two sets of values, we find that the overlapping solution is: -1 ≤ x < 2. Option A is the correct answer.

The compound inequality given is: x ≥ -1 or x < 2.

To solve this compound inequality, we can break it down into two separate inequalities and then find the overlapping solution.

First inequality: x ≥ -1

This inequality represents all the values of x that are greater than or equal to -1.

Second inequality: x < 2

This inequality represents all the values of x that are less than 2.

To find the overlapping solution, we need to determine the values that satisfy both inequalities.

From the first inequality, x ≥ -1, we know that x can take any value that is greater than or equal to -1.

From the second inequality, x < 2, we know that x can take any value that is strictly less than 2.

Combining these two sets of values, we find that the overlapping solution is:

-1 ≤ x < 2

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In "Socialism vs. Capitalism: Which is the Moral System", author C. Bradley Thompson refers to Capitalism as the only moral and just social system. Option B is the correct answer.

Socialism refers to a system in which the means of production and distribution of goods and services are taken over by a group or the government. Private ownership of the equipment used in the production and distribution of products and services is a key component of capitalism. Option B is the correct answer.

Making a profit is the primary driving force behind capitalism. We don't anticipate our meal from the butcher, the brewer, or the baker out of altruism, but rather out of their consideration of their own interest, as Adam Smith, the philosopher and founder of modern economics, noted. In a voluntary exchange transaction, each party has a stake in the result, but neither can get what they want without taking into account the interests of the other party. Economic prosperity may be attained by this logical self-interest.

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Author C. Bradley Thompson in "Socialism vs. Capitalism: Which is the Moral System" refers to Capitalism as the only moral and just social system.

In "Socialism vs. Capitalism: Which is the Moral System," C. Bradley Thompson refers to Capitalism as the only moral and just social system. According to the author, capitalism is a system based on the principle of individual rights, including the right to life, liberty, property, and the pursuit of happiness.

Thompson argues that socialism is inherently immoral and unjust because it violates the principle of individual rights, as it requires the use of force to redistribute wealth and property from some individuals to others. In contrast, capitalism protects individual rights by allowing individuals to keep the fruits of their labor and to exchange them voluntarily with others.

Thompson contends that capitalism is the only system that can create wealth, foster innovation, and promote prosperity. He argues that capitalism is based on the principle of voluntary exchange, which encourages individuals to produce more and better goods and services in order to compete in the marketplace.

As a result, capitalism generates wealth, increases living standards, and creates a society of abundance and opportunity. In conclusion, Thompson argues that capitalism is not only the most moral and just social system, but also the most practical and effective one.

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Answer:

y=mX+c

7=(1/2)(0)+c

c=7

y = 1/2 X + 7

Step-by-step explanation:

Please brainleist

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Answer:

Step-by-step explanation:

Answer:

X represents the value you can multiply with the slope to get the answer.

y = 0.007x

  = 0.007(6)

  = 0.042

Therefore, 0.042 inches of rain falls in 6 minutes.

The percentage that each expense has out of the total budgeted amount of $45,000  have been computed, where insurance has 8.00%, Utilities 7.00% and so on.

What is a percentage?

In this case, percentage refers to proportion of each expense from the total budgeted expense of $45,000, which means that in order to total budgeted expense of $45,000, which means that in order to compute the percentage of total budgeted for each expense category, we divide the expense by the total budgeted expense

Insurance=$3600/$45,000=8.00%

Utilities=$3150/$45,000=7.00%

Clothing=$2700/$45000=6.00%

Transportation=$1350/$45000=3.00%

Entertainment=$5400/$45000=12.00%

Savings=$4050/$45000=9.00%

Taxes=$7200/$45000=16.00%

Food=$7650/$45000=17.00%

Housing=$9900/$45000=22.00%

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The second quartile is the median of the data sets and have a value of 100.

An equation is an expression that shows the relationship between two or more numbers and variables.

The box-and-whisker plot provides a five number summary of data sets i.e. minimum, lower quartile, median, upper quartile and range.

The second quartile is the median of the data sets and have a value of 100.

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Answer:

C.

Step-by-step explanation:

The dotted line means it is not "equal to" and since its shaded BELOW the line, its less than.

\(y < \frac{-1}{5} x+1\) inequality is represented by given graph.

" Inequality is defined as the relation between two variables using sign of inequality such as >, <, ≤, ≥ ."

According to the question,

From the given graph,

(0,1) and (5,0) are excluded points in the graph of the inequality .

value of y < 1 for x = 0, value of x < 5 for y =0 represents open interval.

Option (A) and (B) represent Close interval , therefore both are not correct option.

Option(D) y >1 for x=0 , x>5 for y=0 , it is not correct option.

Option (C) \(y < \frac{-1}{5} x+1\)

y <1 for x = 0 and x<5 for y = 0 represent the graph inequality.

Hence, Option(C) is the correct answer.

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Answer:

(-4,6)

Hope it helps!

Step-by-step explanation:

Yes, the confidence interval formula for p includes the sample proportion. In statistical inference, a confidence interval is a range of values that is used to estimate an unknown population parameter.

In the case of a proportion, such as the proportion of individuals in a population who have a certain characteristic, the confidence interval formula involves using the sample proportion as an estimate of the population proportion.

The formula for a confidence interval for a proportion is given by:

p ± z*sqrt((p(1-p))/n)

where p is the sample proportion, n is the sample size, and z is the z-score corresponding to the desired level of confidence. The sample proportion is used as an estimate of the population proportion, and the formula uses the sample size and the level of confidence to calculate a range of values within which the true population proportion is likely to fall.

It is important to note that the sample proportion is just an estimate, and the actual population proportion may differ from it. The confidence interval provides a range of values within which the true population proportion is likely to fall, based on the available data and the chosen level of confidence.

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Answer:

No

Step-by-step explanation:

Given:

a = 28

b = 47

c = 55

a² + b² = c²

28² + 47² = 55²

784 + 2209 = 3025

2993 ≠ 3025

No because the 2 legs don't equal the hypotenuse

Square tile with measure of each side is 16inches have area equals to 1652 centimeters( round off to nearest square centimeters).

As given in the question,

Measure of each side length of a square tile = 16 inches

Conversion

1 inch = 2.54 centimeters

16 inches = ( 16 × 2.54 )centimeters

                = 40.64centimeters

Area of a square tile is :

= ( Side length ) × ( Side length)

= (40.64) × (40.64)

= 1651.6096 centimeters

= 1652 centimeters ( round off to nearest square centimeters)

Therefore, the area of a square tile with given measure of each side is equal to 1652 centimeters ( round off to nearest square centimeters).

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Answer:

Hasty generalization fallacy

Step-by-step explanation:

Fallacy can be said to be a reasoning which leads to the wrong interpretation of a statement or an argument. Although some people intentionally make fallacious statements just to score cheap points or to please the listening audience, but some make fallacious unknowingly, either due to carelessness or by being lackadaisical.

In this case the writer, without enough investigation and proof, comes to a very hasty conclusion that "all doctors are the same". This is termed a hasty conclusion because the writer only had dealings with just two docotors(Dr. Ames and Dr. Collins). So saying all doctors are the same just because of two instance is a rather rash statement.

Therefore, the fallacy commited by the writer here is a fallacy of hasty generalization.

Hasty generalization fallacy occurs when someone has a limited information on a population but makes a conclusion based on a larger population than he/she should.

Answer:

x = 30, y = 6

Step-by-step explanation:

Here, we want to use the property of parallelograms

mathematically, the lengths of the parallel sides are equal

This mean:

2y + 3 = y + 9

2y - y = 9-3

y = 6

To get x;

Angles that face each other are supplementary; meaning they add up to 180

Thus, we have that

4x + 2x = 180

6x = 180

x = 180/6

x = 30

Relief refers to the highest and lowest point elevation in an area.

Relief

Relief is the term used for the differences in height from place to place on the land’s surface and it is greatly affected by the underlying geology. Relief relies on the hardness, permeability and structure of a rock.

elevation

The elevation of a geographic location is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface.

geology

Geology describes the structure of the Earth on and beneath its surface, and the processes that have shaped that structure. It also provides tools to determine the relative and absolute ages of rocks found in a given location, and also to describe the histories of those rocks.

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Answer: Relief

Step-by-step explanation:

Relief refers to the highest and lowest point elevation in an area.

Slope is the measure of steepness

Topography refers to the arrangement of the land in an area

Elevation on the other hand is the distance above sea level

The graph of the function are attached

f(x) = 3x^2 - 4 (opens upward)

f(c) = -3x^2 + 1 (shifts 5 units upward)

f(c) = -3(x + 5)^2 - 4 (shifts 5 units to the left)

The quadratic equation required is f(x) = - 3x^2 - 4

For the graph to open upward change the sign opposite 3x^2 hence we have

f(x) = 3x^2 - 4 (graph attached)

The quadratic function f(c) = -3x^2 - 4 to shift up add some a number say 5 to it or down (subtract a number from it)

f(c) = -3x^2 - 4 + 5

f(c) = -3x^2 + 1 (graph attached)

to shift the graph left or right add or subtract a number say  to the x as below

f(c) = -3(x + 5)^2 - 4 (shifts to the left 5 units graph attached)

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The function g(t) = √(t^2 + 4) can be graphed using a graphing utility. By examining the graph, we can determine whether the function is one-to-one on its entire domain and if it has an inverse function.

When we graph the function g(t) = √(t^2 + 4), we observe that it represents a U-shaped curve. The graph starts at (0, 2) and extends infinitely in both the positive and negative directions along the t-axis.

To determine if the function is one-to-one on its entire domain, we need to check if it passes the horizontal line test. This means that for every horizontal line drawn on the graph, it should intersect the curve at most once.

By examining the graph, we see that the function fails the horizontal line test. In other words, there are values of t where multiple y-values are associated with the same x-value. This indicates that the function is not one-to-one on its entire domain.

Since the function is not one-to-one, it does not have an inverse function. An inverse function exists only when a function is both one-to-one and onto.

In conclusion, the function g(t) = √(t^2 + 4) is not one-to-one on its entire domain and does not have an inverse function.

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Answer:

C = 7.72 ~ 7.7

Step-by-step explanation:

So when you solve this equetion you must 1st find x then c

we can find x by using cos(60)

cos(60) = x/14

x = cos(60) × 14

x = 1/2 ×14

x = 7

so after we find x we are going to solve c by using cos (25)

cos (25) = X/C = 7/c

cos(25) × C = 7

C = 7/cos (25)

C = 7.72 ~ 7.7

so the solution is 7.7