3. (02.02 MC)
Which of the following is the conjugate of a complex number with -1 as the real part and 3i as the imaginary part? (6 points)
O -1-3
O -1+ 3/
O-3i+ 1
O 3i+1

Answer:

Below in bold.

Step-by-step explanation:

80% is equivalen to 68 correct answers

1%    ..        ..      ..       68/80      ..

100%   ,,     ,,     ,,         (68/80) * 100  =  85 questions.

Answer:

Substraction

Step-by-step explanation:

Given that  

The amount paid in the year 2018 is $3,200

And, in the year 2019 the amount paid is $3,516'

We need to find the differnece between two years so how we can find

Basically we need to subtract the amount i.e.

= $3,516 - $3,200

= $316

hence, the difference is of $316 from 2018 to 2019

Answer:

(4x - 9)(3x + 2)(4x - 5)(3x - 1).

Step-by-step explanation:

Let's substitute y = (12x² - 19x):

So we have y² - 13y - 90, which can be factored as:

y² - 13y - 90 = (y - 18)(y + 5)

Substituting y back:

(12x² - 19x)² - 13(12x² - 19x) - 90 = [(12x² - 19x) - 18][(12x² - 19x) + 5]

= (12x² - 19x - 18)(12x² - 19x + 5)

= (4x - 9)(3x + 2)(4x - 5)(3x - 1)

The best method to estimate the size of a population of rabbits living in a large urban park is the Capture a set of rabbits, mark and release them, and then recapture a second set of rabbits, which is option C.

Later, a second sample of rabbits is captured, and the number of marked rabbits in this sample is recorded. The ratio of marked rabbits to the total number of rabbits in the second sample can be used to estimate the total population size.

The CMR method is considered one of the most accurate methods for estimating the size of a population of animals, as it accounts for the potential biases in other methods like counting individual animals within quadrants or along transects.

This method assumes that the marked and unmarked animals have an equal chance of being captured and that there is no migration or mortality between the two sampling periods.

In conclusion, the CMR method is the best option to estimate the size of a rabbit population in a large urban park as it is more accurate than other methods and accounts for potential biases in other methods. Therefore, correct option is C.

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Answer:

\(f^{-1} (x)=-\frac{x}{5} +2\)

Step-by-step explanation:

hope this helps

A) True. Therefore, there should be no systematic bias when probability sampling is done correctly.

When conducting a research study, it is important to ensure that the sample chosen is representative of the population. Probability sampling is a method that aims to achieve this by giving each member of the population an equal chance of being included in the sample.

When this sampling method is done correctly, it minimizes bias and ensures that the sample is truly representative. For example, let's consider a study on the average height of students in a particular school.

If we were to use probability sampling, we would assign a number to each student and then randomly select a certain number of students from that pool. This would give every student an equal chance of being chosen for the sample, eliminating any systematic bias that might arise if we were to select students based on subjective criteria.

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the critical t value is 1.7171 and the degrees of freedom is 23.

How to find?

To find the critical t, we first need to determine the degrees of freedom. When we have an independent random sample from an approximately normal population with unknown standard deviation and n sample size, the degrees of freedom is n - 1.

In this case, n = 24, so the degrees of freedom is:

df = n - 1

df = 24 - 1

df = 23

Next, we can use a t-table or a calculator to find the critical t value at a 91% confidence level with 23 degrees of freedom. Using a t-table or a calculator, we get:

t = 1.7171 (rounded to four decimal places)

Therefore, the critical t value is 1.7171 and the degrees of freedom is 23.

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Answer:

\(- 2m^4 - 6m^2 + 4m + 9\)

Step-by-step explanation:

Given

\(4m - 2m^4 - 6m^2 + 9\)

Required

Express in standard form

To do this, we simply reorder the terms of the polynomial in descending order of power.

So, we have:

\(- 2m^4 - 6m^2 + 4m + 9\)

Answer:

D

Step-by-step explanation:

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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Answer:

\(8u+ 17 = 17 \\ 8u = 17 - 17 \\ 8u = 0\\ u = \frac{0}{8} \\ \boxed{u = 0}\)

Omar's time rounded to the nearest hundredth of a second is equal to 9.85 seconds.

In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:

Generally speaking, the place value of the digit "4" is hundredth and as such, we would round it up to 5 because it is followed by the number 6:

Time = 9.846 ≈ 9.85 seconds.

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Answer:

Step-by-step explanation:

16/(2+6)

16/8=2

Answer:

x = A/7

Step-by-step explanation:

Given that the screen is rectangular, recall that the area A of a rectangle whose length is L and width is W is given as

A = L * W

Hence if the width is 7 inches and the length is x inches then the area which is A square inches is connected to both sides as

A = x * 7

Divide both sides by 7

x = A/7 inches

Answer:

Step-by-step explanation:

factor - 64 : -4 * -4 * -4

factor a^3: a * a * a

Cube root (-64*a^3) =

Cube root (-4*-4*-4 * a * a * a)

Answer: -4 * a

Reason. You are taking the cube root of a number. For every number under the root sign, number by 3 equal factors. Take one outside the root sign. Throw the other two away.

Answer:

Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Answer:

Step-by-step explanation:

Volume of prism = length * width * height  

                            = 8 1/2 *  7 * 4

                            \(= \frac{17}{2}*7*4\\\\=17 * 7 * 2\\\\= 238 cubic m\)

The rate of change of the function at that specific point. In this case, the slope of the tangent line is 3, indicating that the function f(x) is increasing at x = 2 with a rate of change of 3.

Given that the tangent line to y = f(x) at x = 2 has the equation y = 3x + 1, we can find f(2) and f'(2) using the information provided by the tangent line.

To find f(2), we substitute x = 2 into the equation of the tangent line:

y = 3(2) + 1

y = 6 + 1

y = 7

Therefore, f(2) = 7.

To find f'(2), we note that the tangent line has the same slope as the derivative of the function f(x) at x = 2. Comparing the equation of the tangent line, y = 3x + 1, to the standard form of a linear equation, y = mx + b, we can see that the slope of the tangent line is 3. Thus, f'(2) = 3.

This result is correct because the slope of the tangent line at a specific point on a curve represents the instantaneous rate of change of the function at that point. In other words, f'(2) is the derivative of f(x) evaluated at x = 2, which gives us the rate of change of the function at that specific point. In this case, the slope of the tangent line is 3, indicating that the function f(x) is increasing at x = 2 with a rate of change of 3.

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The value of the double integral ∬R (6x/(1 + xy)) dA over the region

R = [0, 6] × [0, 1] is 6 ln(7).

To calculate the double integral ∬R (6x/(1 + xy)) dA over the region

R = [0, 6] × [0, 1], we can integrate with respect to x and y using the limits of the region.

The integral can be written as:

∬R (6x/(1 + xy)) dA = \(\int\limits^1_0\int\limits^6_0\) (6x/(1 + xy)) dx dy

Let's start by integrating with respect to x:

\(\int\limits^6_0\)(6x/(1 + xy)) dx

To evaluate this integral, we can use a substitution.

Let u = 1 + xy,

     du/dx = y.

When x = 0,

u = 1 + 0y = 1.

When x = 6,

u = 1 + 6y

  = 1 + 6

   = 7.

Using this substitution, the integral becomes:

\(\int\limits^7_1\) (6x/(1 + xy)) dx = \(\int\limits^7_1\)(6/u) du

Integrating, we have:

= 6 ln|7| - 6 ln|1|

= 6 ln(7)

Now, we can integrate with respect to y:

= \(\int\limits^1_0\) (6 ln(7)) dy

= 6 ln(7) - 0

= 6 ln(7)

Therefore, the value of the double integral ∬R (6x/(1 + xy)) dA over the region R = [0, 6] × [0, 1] is 6 ln(7).

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The value of the double integral   \(\int\limits^1_0\int\limits^6_0 \frac{6x}{(1 + xy)} dA\), over the given region [0, 6] x [0, 1] is (343/3)ln(7).

Now, for the double integral  \(\int\limits^1_0\int\limits^6_0 \frac{6x}{(1 + xy)} dA\), use the standard method of integration.

First, find the antiderivative of the function 6x/(1 + xy) with respect to x.

By integrating with respect to x, we get:

∫(6x/(1 + xy)) dx = 3ln(1 + xy) + C₁

where C₁ is the constant of integration.

Now, we apply the definite integral over x, considering the limits of integration [0, 6]:

\(\int\limits^6_0 (3 ln (1 + xy) + C_{1} ) dx\)

To proceed further, substitute the limits of integration into the equation:

[3ln(1 + 6y) + C₁] - [3ln(1 + 0y) + C₁]

Since ln(1 + 0y) is equal to ln(1), which is 0, simplify the expression to:

3ln(1 + 6y) + C₁

Now, integrate this expression with respect to y, considering the limits of integration [0, 1]:

\(\int\limits^1_0 (3 ln (1 + 6y) + C_{1} ) dy\)

To integrate the function, we use the property of logarithms:

\(\int\limits^1_0 ( ln (1 + 6y))^3 + C_{1} ) dy\)

Applying the power rule of integration, this becomes:

[(1/3)(1 + 6y)³ln(1 + 6y) + C₂] evaluated from 0 to 1,

where C₂ is the constant of integration.

Now, we substitute the limits of integration into the equation:

(1/3)(1 + 6(1))³ln(1 + 6(1)) + C₂ - (1/3)(1 + 6(0))³ln(1 + 6(0)) - C₂

Simplifying further:

(343/3)ln(7) + C₂ - C₂

(343/3)ln(7)

So, the value of the double integral  \(\int\limits^1_0\int\limits^6_0 \frac{6x}{(1 + xy)} dA\), over the given region [0, 6] x [0, 1] is (343/3)ln(7).

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Given:

The order pair is

Required:

To find the domain and range from ordered pair.

Explanation:

Conaider

Here the domain is

And the range is

Final Answer:

Domain : {-1,0,5}

Range : {-6,-1,2,7}

Answer:

4/5

Step-by-step explanation: i took the quiz

Hi!
Let's write this out.
Her limit is $900, and she's used $450. So, we subtract 450 from 900.
900-450 = 450.

So, she has $450 available credit left.
Hope this helps!
~~~PicklePoppers~~~

Answer: your credit utilization ratio on that card would be 50% but the answer is 450

Step-by-step explanation:

900-450 = 450

Answer:

option 2

Step-by-step explanation:

Substitute x = - 5 into f(x) , that is

f(- 5) = 4(- 5) - 7 = - 20 - 7 = - 27

Step-by-step explanation:

A. square centimeters

B. centimeters

C. square centimeters

D. centimeters

E. cubic centimeters

The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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The five elements to be assessed during sample selection in audit sampling are Sapmlinf Frame, Sample Size, Sampling Method, Sampling Interval, Sampling Risk.

1. Sampling Frame: The sampling frame is the list or source from which the sample will be selected. It is important to ensure that the sampling frame represents the entire population accurately and includes all relevant elements.

2. Sample Size: Determining the appropriate sample size is crucial to ensure the sample is representative of the population and provides sufficient evidence for drawing conclusions. Factors such as desired confidence level, acceptable level of risk, and variability within the population influence the determination of the sample size.

3. Sampling Method: There are various sampling methods available, including random sampling, stratified sampling, and systematic sampling. The chosen sampling method should be appropriate for the objectives of the audit and the characteristics of the population.

4. Sampling Interval: In certain sampling methods, such as systematic sampling, a sampling interval is used to select elements from the population. The sampling interval is determined by dividing the population size by the desired sample size and helps ensure randomization in the selection process.

5. Sampling Risk: Sampling risk refers to the risk that the conclusions drawn from the sample may not be representative of the entire population. It is important to assess and control sampling risk by considering factors such as the desired level of confidence, allowable risk of incorrect conclusions, and the precision required in the audit results.

During the sample selection process, auditors need to carefully consider these elements to ensure that the selected sample accurately represents the population and provides reliable results. By assessing and addressing these elements, auditors can enhance the effectiveness and efficiency of the audit sampling process, allowing for meaningful generalizations about the population.

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Quicksort is a popular sorting algorithm that works by partitioning the array into two sub-arrays, one with elements smaller than a chosen pivot element, and the other with elements greater than the pivot. It then recursively sorts these sub-arrays until the entire array is sorted.

To sort the given numbers using quicksort, we can start by choosing the last element, 28, as the pivot. We then partition the array as follows:

23, 20, 28, 34, 35, 43, 53, 87, 75, 94, 96, 75, 94

In this partition, all elements before 28 are smaller and all elements after 28 are greater. We then recursively apply quicksort to the left and right sub-arrays until the entire array is sorted.

For the left sub-array (23, 20, 28, 34, 35, 43, 53), we choose the last element, 53, as the pivot and partition as follows:

23, 20, 28, 34, 35, 43, 53

We then recursively apply quicksort to the left and right sub-arrays until the left sub-array contains only one element, at which point it is considered sorted. We then move on to the right sub-array (87, 75, 94, 96, 75, 94) and repeat the process.

The right sub-array can be partitioned using any element as the pivot, but we will choose the last element, 94. The partition is as follows:

75, 87, 75, 94, 94, 96

We then recursively apply quicksort to the left and right sub-arrays until they are sorted. Once both sub-arrays are sorted, we can combine them to get the final sorted array:

20, 23, 28, 34, 35, 43, 53, 75, 75, 87, 94, 94, 96

In summary, to sort the given numbers using quicksort, we choose a pivot, partition the array into two sub-arrays, and recursively apply quicksort to each sub-array until the entire array is sorted.

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The correct answer is 5/8. Option b)

In math, to multiply means to add equal groups. When we multiply, the number of things in the group increases.

from given statements that, the product of n x 4/5 is greater than 4/5 because multiplication always increases a number.

n × 4/5 > 4/5  ⇒?

so, what are the "n" values will prove that above statement is incorrect.

so, if we put the all given options values of "n" in n × 4/5, then

⇒ n=2

8/5 > 4/5

⇒ n=5/8

20/40 < 4/5

⇒ n=6/6

1 > 4/5

⇒ n=7/6

28/30 > 4/5

⇒ n=5/4

20/4 > 4/5

Therefore, The correct answer is 5/8. Option b)

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Answer:

hope this help you .look it once

Answer:

*

*

*

*       *

*  *   *

*  *   *

*  *   *   *

*  *   *   *   *

______________

0  1  2    3   4   5

Step-by-step explanation:

The greatest number of batches Wendy can make is 2.To find the greatest number of batches Wendy can make, we need to determine how many batches can be made with the available amounts of flour and butter.

To make one batch of cookies, Wendy needs 3/4 cup of flour and 1/3 cup of butter.
Wendy has 2 cups of flour and 3/4 cup of butter.
To calculate the number of batches of cookies Wendy can make with the available flour, we divide the amount of flour Wendy has (2 cups) by the amount of flour needed for one batch (3/4 cup).
2 cups ÷ 3/4 cup

= (2/1) ÷ (3/4)

= 8/3

≈ 2.67 batches
Since Wendy cannot make a fraction of a batch, she can make a maximum of 2 batches of cookies with the available flour.

To calculate the number of batches of cookies Wendy can make with the available butter, we divide the amount of butter Wendy has (3/4 cup) by the amount of butter needed for one batch (1/3 cup).
3/4 cup ÷ 1/3 cup = (3/4) ÷ (1/3)

= 9/4

= 2.25 batches
Again, Wendy cannot make a fraction of a batch, so she can make a maximum of 2 batches of cookies with the available butter.

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