what kind of person is considered to be of good character?mention any three good character with examples.​​

The length of each side of the square is 7.07 feet.

The square:

Square is a regular quadrilateral, which has all four sides of equal length and all four angles are also equal. The angles of the square are at right-angle or equal to 90 degrees. Also, the diagonals of the square are equal and bisect each other at 90 degrees.

Here we have to find the length of each side of the square.

Data provided:

Area of a square = 50 feet².

The formula for the area of the square:

Area = side²

Put the value in the formula, and we get:

50 = side²

side = 5√2 feet

= 5 × 1.414

= 7.07 feet

Therefore the length of the side is 7.07 feet.

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Answer:

a)     H(-x) = 4x⁴ + 5x³ +2x² + x + 5

b)     0 sign changes

c)      0 negative real solutions

d)     4 imaginary solutions

Step-by-step explanation:

a) Replace every x with (-x) and rewrite the function below

    H(x) = 4x⁴ - 5x³ + 2x² - x + 5

    H(-x) = 4(-x)⁴ - 5(-x)³ + 2(-x)² - (-x) + 5

    H(-x) = 4x⁴ + 5x³ +2x² + x + 5

b) How many sign changes are there in this new function?

0 (zero) sign changes in the new function (terms 5x³ and x)

c) How many negative real roots are possible?

0 (zero) negative real solutions possible.

d) How many possible complex roots are there?

There are 4 or 2 or 0 positive roots for the function and 4 total roots for this function; Given the degree of the function is also 4, there can be 0 or 2 or 4 complex roots for the function. If you were to graph H(x), you would see that the function never touches or crosses the x-axis. Therefore, the function has 4 imaginary roots and no real roots.

If an nxn matrix A are linearly independent when A is invertible, because option (C) If A is invertible, then the equation Ax = 0 has the unique solution x=0. Since Ax = 0 has only the trivial solution, the columns of A must be linearly independent.

When a matrix A is invertible, it means that there exists a matrix A^-1 such that AA^-1 = A^-1A = I, where I is the identity matrix.

Now suppose that the columns of A are linearly dependent. This means that there exist scalars c1, c2, ..., cn, not all zero, such that

c1A[:,1] + c2A[:,2] + ... + cn×A[:,n] = 0

where A[:,i] represents the i-th column of the matrix A.

In other words, there exists a non-zero vector x = [c1; c2; ...; cn] such that Ax = 0.

Multiplying both sides by A^-1, we get:

A^-1(Ax) = A^-1(0)

x = 0

But this contradicts our assumption that x is non-zero. Therefore, the columns of A must be linearly independent

Therefore, the correct option is (C) If A is invertible, then the equation Ax = 0 has the unique solution x=0. Since Ax = 0 has only the trivial solution, the columns of A must be linearly independent.

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The given question is incomplete, the complete question is:

Explain why the columns of an nxn matrix A are linearly independent when A is invertible. Choose the correct answer below.

A) -1 If A is invertible, then A has an inverse matrix A Since AA = I, A must have linearly independent columns.

B) If A is invertible, then for all x there is a b such that Ax = b. Since x = 0 is a solution of Ax = 0, the columns of A must be linearly independent.

C) If A is invertible, then the equation Ax = 0 has the unique solution x=0. Since Ax = 0 has only the trivial solution, the columns of A must be linearly independent.

D) If A is invertible, then A has an inverse matrix A-1. Since AA-1 =A-1A, A must have linearly independent columns.

Answer:

The answer is C

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

both pair of opposite sides are parallelogram, which is the definition of a parallelogram

Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3

A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.

r = 1 − cosθsin3θ

Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.

The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.

The figure attached shows the bounded region of the two graphs. The red curve is  r=4cos⁡(θ) and the blue curve is r=2.

The points of intersection of the two curves are

θ = π/3 and 5π/3

The area is calculated as follows:

Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.

A = 2 \(\(\int_{0}^{\pi /3}\) ½ (4 cos (θ)² − ½ (2)² dθ

  =  \(\(\int_{0}^{\pi /3}\) 16 cos2 (θ) − 4dθ

  = \(\(\int_{0}^{\pi /3}\) 8 (1+cos(2θ)) − 4dθ

  =\(\(\int_{0}^{\pi /3}\) 4 + 8 cos (2θ) dθ

  = [4θ + 4sin (2θ)] \(\(\int_{0}^{\pi /3}\)

  = 4π/3 + 2√3

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This week’s median temperature is greater than last week’s median temperature by: D. 5 degrees.

In Mathematics, a median can be defined as the middle number (center) of a sorted data set, which is when the data set is either arranged in a descending order from the greatest to least or an ascending order the least to greatest.

First of all, we would sort the 7 observations from the least to greatest as follows:

65, 71, 73, 73, 73, 74, 75

Median of this week’s daily high temperatures = 73 degrees.

51, 62, 66, 68, 72, 72, 85

Median of last week’s daily high temperatures = 68 degrees.

Difference = 73 degrees - 68 degrees

Difference = 5 degrees

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Missing information:

How much greater is this week’s median temperature than last week’s median temperature?

2 degrees

3 degrees

4 degrees

5 degrees

Answer:

5/x^4

Step-by-step explanation:

What a number is raised by a negative exponent.

Rewrite it as a fraction with the number being the denominator and change the exponent from negative to positive.

5 ^-4 = 1/(5^4)

Then if you need to, this can be simplified to 1/625

Answer:

C

Step-by-step explanation:

I got it right on edge

The coordinate of the z² will be (4, 1) which is represented by point D. Then the correct option is D.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The coordinate of the z will be given from the graph.

The coordinate of z is (2, 1).

If the square is of z is done, then the coordinate of the z² will be

z ⇒ (2, 1)

z² ⇒ (2, 1)²

z² ⇒ (2², 1²)

z² ⇒ (4, 1)

The coordinate of the z² will be (4, 1) which is represented by point D.

Then the correct option is D.

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In statistics, the "central tendency" refers to a single value which represents middle or center of a set of data. The 3 common measures of central tendency are named as mean, median, and mode.

When scores have a central tendency, it means that most of the scores in a set of data are clustered around a particular value.

For Example, if we have a data set of test scores, and most of the scores are around 70, then 70 would be the central tendency of the data set.

The central tendency is an important concept in statistics because it provides a way to summarize a large set of data with a single value.

It can help you understand the overall pattern of the data and make comparisons between different data sets.

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Answer: x≤ 11.5

Step-by-step explanation:

4x + 16 ≤ 62

      -16   -16

4x ≤ 46

divide both sides by 4

x≤ 11.5

Answer:

In order to give brainliest i need to answer!!! that way you can mark the other person brainliest. *i also commented on my question that you answered, can you answer it? its a question about the answer*

Step-by-step explanation:

have a great day

The line /TV/ that we have been asked to find from the information is the question is obtained as 7.

The sine rule, also known as the law of sines, is a trigonometric formula used to find an unknown side or angle in a triangle. It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all three sides of the triangle.

We know that the missing angle U is obtained from;

180 - (58.3 + 80)

= 41.7°

Then;

8.9/Sin 58.3 = /TV//Sin 41.7

/TV/ = 8.9 Sin 41.7/Sin 58.3

/TV/ = 5.9/0.85

= 7

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The experimenter was most likely conducting a randomized controlled trial, also known as a randomized experiment.

In this type of experiment, participants are randomly assigned to different groups, such as an experimental group or a control group, to ensure that any observed effects can be attributed to the intervention being tested rather than other factors.

In this case, the experimenter is using a random number to assign Chris to a group with nineteen other students, which suggests that there may be multiple groups involved in the experiment. This type of design is often used in scientific research to test the effectiveness of a new treatment, intervention, or program.

Randomized controlled trials are considered the gold standard in research design because they provide strong evidence for causal relationships between variables. By randomly assigning participants to different groups, researchers can control for confounding variables and ensure that any observed differences between groups are due to the intervention being tested.

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c. incremental model Agile methods are iterative and incremental approaches to software development that prioritize customer satisfaction through the early and continuous delivery of working software.

The incremental model is a key aspect of agile methods, where the software is developed incrementally through a series of iterations or sprints. At the end of each iteration, user feedback is collected and incorporated into the next iteration, allowing the software to evolve and adapt to changing requirements. This approach allows for greater flexibility and responsiveness to user needs and helps ensure that the final product meets customer expectations.

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Answer:

Each car cost $0.81, you would need to do 0.81 times 25 and you would get $20.25

Step-by-step explanation:

Answer:7

Step-by-step explanation:

5+2=7

The expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

The expected probability of a head coming up next given the results of the 25 coin flips is 15/25 = 0.6.

This is due to the fact that 15 of the 25 flips were heads, so the probability of the next head is 15 out of the 25 total flips which is equal to 0.6 or 60%.

However, since the probability of heads (m) is unknown, the expected probability of a head coming up next is still unknown.

Therefore, the expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

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Triangle ABC is congruent to Triangle CDA using the SSS rule.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

SSS rule states that,

If the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

To prove:

ΔABC ≅ ΔCDA.

AB = DC ( given)

AD = BC (given)

AC = AC (common to both the triangles)

ΔABC ≅ ΔCDA ( By SSS rule )

Thus,

ΔABC ≅ ΔCDA by SSS rule.

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Answer:

RN ≈ 4.2

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos65° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{RN}{PR}\) = \(\frac{RN}{10}\) ( multiply both sides by 10 )

10 × cos65° = RN , then

RN ≈ 4.2 ( to 1 dec. place )

Answer:

First find the rate for a year .

5000 dollars × 6.25 = 31 250

After you find it multiply it by 20 ( because there are 20 years)

31 250 × 20 = 625000

Answer:

Diego had 6,250 in the bank after 20 years.

Step-by-step explanation:

5,000/100=50

50*6.25=312.5*20=6250

Ximena wants to decrease 350 by 4%, here the complete statement is:

350 × 4% = 14.

When the denominator is 100, percentages are really just fractions. We place the percent sign (%) next to the number to indicate that the number is a percentage.

Comparing two amounts while rebasing the second amount to 100 is the simplest way to use percentages. The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin term made its way into English. It was later abbreviated to %.

b)

= 350 × 4%

= 350 × (4/100)

= 14

19. a)

5 (x - 6) = 15

or, 5x - 30 = 15

or, 5x = 45

or, x = 9

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The Cartesian equation of the line that contains the points A and B, where A is the intersection point of the given plane with the x-axis and B is the intersection point with the z-axis, is x = 1 and z = 3.

To find the Cartesian equation of the line, we need to determine the values of x and z while allowing y to vary freely. Since point A lies on the x-axis, its y-coordinate is 0, so we have x = 1 and y = 0 for point A. Similarly, since point B lies on the z-axis, its y-coordinate is also 0, so we have z = 3 and y = 0 for point B.

Thus, the equation x = 1 represents the line that contains point A, and the equation z = 3 represents the line that contains point B. Since y can vary freely, we do not include it in the equations. Therefore, the Cartesian equation of the line that contains points A and B is x = 1 and z = 3.

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The transformed function is:

f(x) = - (1/3)^3 x^3 - 2(1/3)^2 x^2 + 2 - 9

Simplifying:

f(x) = - (1/27) x^3 - (2/9) x^2 - 7

Then, reflecting in the x-axis:

g(x) = -f(x) = (1/27) x^3 + (2/9) x^2 + 7

So the final transformed function is g(x) = (1/27) x^3 + (2/9) x^2 + 7.

The horizontal cut back with the aid of a aspect of one/three does not have an effect on the area of the function, which stays all real numbers. The translation of 2 devices up shifts the variety of the function through 2 gadgets as properly. The mirrored image inside the x-axis modifications the signal of the feature's output, efficaciously inverting the variety. As a result, the converted function has the equal domain as the unique function, however its variety is inverted and shifted by 2 units up. The variety of the transformed feature, therefore, is all real numbers extra than or same to two.

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Answer:

17 obtuse triangle

Step-by-step explanation:

hope it helps

Answer:

11. corresponding

12. consecutive interior

13. alternate exterior

14. alternate interior

15. corresponding

16. consecutive interior

17. alternate interior

The inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is C. r < t < l.

From the information given, it should be noted that f'(x) is negative. Therefore, L > R. Also since f"(x) is negative, T > R.

f(x) = 2 cos 2x.

f'(x) = -4 sin 2x

f"(x) = -8 cos 2x

Therefore, the inequality compares the left (l), right (r), and trapezoidal (t) sum approximations of the area under the curve is r < t < l

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The outliers in the following scatterplots need to be circled:--5, 15-60

The points (-5,15) and (-60,7) are outliers.

An outlier is a value that lies outside (is smaller or larger) than most other values in a given data set. An outlier may represent a unique event or error. When examining scatterplots, outliers are the values that appear to be farthest from the trend line. Outliers are labeled as "L" in scatterplots. To answer this question, the outliers in the following scatterplots need to be circled:

--5, 15-60

The points (-5,15) and (-60,7) are outliers.

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Based on the given information, the researcher should not reject the null hypothesis if using an alpha level of 0.05.

In hypothesis testing, the null hypothesis is typically assumed to be true until there is sufficient evidence to reject it. To determine whether to reject the null hypothesis, researchers often compare the calculated F-value from an ANOVA test with the critical F-value. The critical F-value is based on the significance level (alpha) chosen for the test. In this case, the given F-value is 3.47 with degrees of freedom (3, 32), indicating that there are three groups and a total of 32 observations. To make a decision, the researcher needs to compare the calculated F-value to the critical F-value. If the calculated F-value is greater than the critical F-value, the null hypothesis is rejected. However, if the calculated F-value is less than or equal to the critical F-value, the null hypothesis is not rejected. Since the critical F-value corresponding to alpha = 0.05 is not provided in the question, we cannot determine whether the null hypothesis should be rejected.

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