Find the direction angle of w=8j.
Round your answer to the nearest tenth of a degree

Answers

Answer 1

the direction angle of w=8j is 90.0 degrees. The direction angle of a complex number is the angle between the positive real axis and the vector representing the complex number in the complex plane.

what is direction angle ?

The direction angle, also known as the argument or phase angle, of a complex number is the angle between the positive real axis and the vector representing the complex number in the complex plane.

In the given question,

The direction angle of a complex number is the angle between the positive real axis and the vector representing the complex number in the complex plane.

In this case, the complex number is w=8j, which has an imaginary part of 8 and a real part of 0. Therefore, the vector representing w points directly upwards in the complex plane, and the angle between this vector and the positive real axis is 90 degrees.

Rounding this to the nearest tenth of a degree gives 90.0 degrees.

So the direction angle of w=8j is 90.0 degrees.

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Related Questions

What is 180 mph in kmh ?

Answers

Answer:

Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)

Step-by-step explanation:

Convert from mph to kmh

Mile per hour multiplied by 1.609344 equals kilometer per hour

                                             or

Mile per hour divided by 0.621371 equal kilometer per hour

180 mph x 1.609344 = 289.68192 or when rounded to 289.68 km/h

Hope this helped!

mph × 1.609344 = km/h

180 × 1.609344 = 289.68192

180 mph ≈ 289.68 kmh

What is mph ?

Miles per hour (mph, m.p.h., MPH, or mi/h) is a term that is used in both the United States and the British Empire to describe how many miles may be travelled in an hour. It is used in the US, the UK, and a few other smaller countries, the majority of which are former colonies of the US or the UK or have strong ties to both countries historically.

Let's first go over how many metres are in a mile and how many seconds are in an hour. The distance travelled in a specific amount of time is known as speed. The symbol for metres per second is m/s, and the symbol for miles per hour is mph.

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The roots of the quadratic function are -2 and -6.Which of the following are the two factors of the quadratic expression?X + 2X-2X - 6X + 6X + 8X - 8

Answers

roots = {-2, -6}

Factors: (x + 6) and (x + 2)

write the expression into standard form a + bi calculator

Answers

To convert an expression into standard form a + bi, you separate the real and imaginary parts and combine them using the appropriate operators.

To write an expression into standard form, a + bi form, you need to separate the real and imaginary components of the expression and combine them using the appropriate notation.

In a + bi form, 'a' represents the real part of the expression, and 'b' represents the imaginary part.

Let's say we have an expression in the form x + yi, where 'x' is the real part and 'y' is the imaginary part.

To convert this expression into standard form, you need to perform the following steps:

Separate the real and imaginary parts of the expression.

Write the real part first, followed by the imaginary part with 'i'.

Combine the real and imaginary parts using the appropriate operators (+ or -).

Let's take an example to illustrate this process:

Suppose we have the expression 3 + 2i.

Here, '3' is the real part, and '2' is the imaginary part.

To convert it into standard form, we write it as 3 + 2i.

Similarly, if we have the expression -5 - 4i, where '-5' is the real part and '-4' is the imaginary part, we write it as -5 - 4i.

In both cases, the expressions are in standard form, a + bi.

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f(x)= 2x+3/x-1, x ≠ 1, dan f^-1 adalah invers dari f
tentukan :
A. infers fungsi F
B. Nilai dari f^-1 (-3)​​

Answers

Answer:

The answer are

A.

\( {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \)

B.

\( {f}^{ - 1} ( - 3) = 0\)

Step-by-step explanation:

To find the infers we do that

\(f(x) = \frac{2 x + 3}{x - 1 } \\ (x - 1)f(x) = 2x + 3 \\ xf(x) - f(x) = 2x + 3 \\ xf(x) - 2x = f(x) + 3 \\ x(f(x) - 2) = f(x) + 3 \\ x = \frac{f(x) + 3}{f(x) - 2} \\ then \: \\ {f}^{ - 1} (x) = \frac{x + 3}{x - 2} \\ then \\ {f }^{ - 1} ( - 3) = \frac{ - 3 + 3}{ - 3 + 2} = 0\)

Use the given information to complete parts I and II. In your final answer, include all calculations. Mars has an approximate diameter of 6. 794 · 10 9 millimeters. The sun has a diameter of 1. 391 · 10 6 kilometers. Part I: Given that for every one kilometer there are 1,000,000 millimeters, which unit of measurement should be used to best represent the lengths of the sun and Mar's diameters?

Part II: Use estimation to approximate how many times greater the sun’s diameter is than planet Mars’s

Answers

The best unit of measurement to represent the diameters of Mars and the Sun is millimeters.

How to explain the measurement

1 kilometer = 1,000,000 millimeters

Therefore, the Sun's diameter in millimeters can be calculated as:

1.391 × 10⁶ km × 1,000,000 mm/km = 1.391 × 10¹² mm

Sun's diameter / Mars's diameter = (1.391 × 10¹² mm) / (6.794 × 10⁹ mm)

This simplifies to:

Sun's diameter / Mars's diameter ≈ 204,474

Therefore, the Sun's diameter is approximately 204,474 times greater than Mars's diameter.

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I have a math question

I have a math question
I have a math question

Answers

Answer:

If the data below were represented with a stem-and-leaf plot, a stem of 2

would have how many leaves?

17, 22, 53, 74, 42, 62, 93, 12, 67, 29, 50 come baby join meet

I have a math question

a bridge hand consists of 13 cards from a deck of 52. find the probability that a bridge hand includes exactly 4 aces and exactly 3 kings.

Answers

The probability that a bridge hand includes 4 acres and exactly 3 kings is 0.028%

To find the probability of getting exactly 4 aces and 3 kings in a bridge hand, we can use the following formula:

P(4 aces and 3 kings) = (number of ways to get 4 aces and 3 kings) / (number of ways to select 13 cards from a deck of 52)

To calculate the numerator, we can first find the number of ways to choose 4 aces from the 4 available in the deck, and then the number of ways to choose 3 kings from the 4 available in the deck. The remaining 6 cards can be any of the 44 non-ace, non-king cards. Therefore:

Number of ways to get 4 aces and 3 kings = (4 choose 4) x (4 choose 3) x (44 choose 6) = 1 x 4 x 44,380,776 = 177,523,104

To calculate the denominator, we can find the total number of ways to choose any 13 cards from the 52-card deck:

Number of ways to select 13 cards from a deck of 52 = (52 choose 13) = 635,013,559,600

Therefore, the probability of getting exactly 4 aces and 3 kings in a bridge hand is:

P(4 aces and 3 kings) = (number of ways to get 4 aces and 3 kings) / (number of ways to select 13 cards from a deck of 52) = 177,523,104 / 635,013,559,600 = 0.0002799 or approximately 0.028%.

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likert-type scale response choices must be balanced at the ends of the response continuum.

Answers

that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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factor the expression below
-r -8

Answers

Answer:

-(r+8)

Step-by-step explanation:

How do you solve 859/3 in 5 steps

Answers

Answer:

286.333

Step-by-step explanation:

Find it doing long division...

1/2(-3/2n+1)=3/4-n
What does n equal

Answers

Answer:

n = 1

Step-by-step explanation:

1/2 (-3/2n + 1) = 3/4 - n

-3/4n + 1/2 = 3/4 - n

n - 3/4n = 3/4 - 1/2

1/4n = 1/4

n = 1

1/2 (-3/2(1) + 1) = 3/4 - (1)

1/2 ( -3/2 + 1) = -1/4

1/2 ( -1/2) = - 1/4

-1/4 = -1/4

The answer is N=1

combine multiplied turns into a single faction find a common denominator combined fraction with common denominator combined multiplied times into a single fraction multiplied by 1 multiplied the numbers I rearrange terms add into both side of the equation simplify X Old Times by the same valuable to eliminate fractions denominators cancel multiple items are in the denominator multiply the numbers subtract 2 from each side of the equation and simplified.

apologies for the words spelt, i used the microphone.

What is the name of the individual credited with devising levels of measurement in which different measurement outcomes can be classified?
a. Binet
b. Stevens
c. Cattell
d. Wechsler

Answers

The individual credited with devising levels of measurement in which different measurement outcomes can be classified is Stanley Smith Stevens.

Stanley Stevens was an American psychologist and professor known for his work in psychophysics and measurement theory. In 1946, he proposed a framework for levels of measurement, which became known as Stevens' levels of measurement or Stevens' scale.

Stevens recognized that different types of data or measurements have different properties and require different statistical operations. He categorized measurement scales into four distinct levels:

Nominal Scale: The nominal scale is the lowest level of measurement. It involves assigning categories or labels to objects or individuals without any inherent order or numerical value. Examples include gender (male/female), eye color (blue/brown/green), or favorite color (red/blue/green). Nominal data can be classified and counted, but arithmetic operations such as addition or subtraction are not meaningful.

Ordinal Scale: The ordinal scale represents data with categories that have a natural order or ranking. It allows for comparisons of the relative size or magnitude between categories, but the differences between categories may not be equal or meaningful. Examples include rankings (1st, 2nd, 3rd), Likert scales (strongly agree/agree/neutral/disagree/strongly disagree), or letter grades (A, B, C, D, F). Arithmetic operations are still not applicable to ordinal data.

Interval Scale: The interval scale has categories with meaningful order, and the differences between categories are equal and meaningful. It includes a fixed measurement unit but lacks a true zero point. Temperature in Celsius or Fahrenheit is a classic example of an interval scale. Arithmetic operations like addition and subtraction are meaningful, but multiplication and division are not.

Ratio Scale: The ratio scale is the highest level of measurement. It possesses all the properties of the interval scale, along with a true zero point that indicates the absence of the measured attribute. In addition to equal intervals, ratio scales allow for meaningful multiplication and division. Examples include height, weight, time, or counts of objects.

Stevens' levels of measurement provide a framework for understanding the properties and appropriate statistical analyses for different types of data.

By categorizing measurement scales into these levels, researchers can make informed decisions about the appropriate statistical techniques to use based on the nature of their data. Stanley Smith Stevens' contributions have had a significant impact on the field of measurement theory and statistical analysis.

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a machine is used to fill 1-liter bottles of a type of soft drink. we can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. the firm uses means of samples of 25 observations to monitor the output, answer the following questions: determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control. (3 decimal points are required)

Answers

The upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control is 1.008.

For a process with a normal distribution, the mean of the sample means is equal to the population mean and the standard deviation of the sample means is equal to the population standard deviation divided by the square root of the sample size. In this case, the mean of the output is 1.0 liter and the standard deviation is 0.01 liter, so the standard deviation of the sample means is 0.01 / √25 = 0.002.

To construct a control chart for the sample means, we need to determine the upper and lower control limits such that the process is in control when the sample means fall within these limits. Assuming the process is in control, we want to find the upper limit such that roughly 97% of the sample means fall below this limit.

Using the standard normal distribution, the Z-score corresponding to the 97th percentile is approximately 1.88.

Therefore, the upper control limit is 1.0 + 1.88(0.002) = 1.008. Any sample mean above this limit should be investigated for potential process issues.

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ASAP When 4(0.5x+2.5y-0.7x-1.3y+4) is simplified, what is the resulting expression?

A) -0.8x+4.8y+16

B) 0.8x-4.8y+16

C) -0.8x-4.8y+4

D) 0.8x+4.8y+4

Answers

Answer:

The answer is A.

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4)

2x+10y+-2.8x+-5.2y+16

2x-2.8x+10y-5.2y+16

= -0.8x+4.8y+16

The answer to your question is A

help now pls no links thank u

help now pls no links thank u

Answers

Answer:

I think its C

Step-by-step explanation:

PLEASE PLEASEEEEEEEEE PLEASEEEE ANSWERRRRR ILL LOVE UUUU!!!

PLEASE PLEASEEEEEEEEE PLEASEEEE ANSWERRRRR ILL LOVE UUUU!!!

Answers

Step-by-step explanation:

9 x 4=36 is the answer

hope this helps you

have a nice day:)

Please apply the properties of rational exponents to simplify expressions with radical or rational exponents. Explain the steps so that I understand because this is for my notes. Thank you for your time, the properties and problems to apply them to will be below.

Please apply the properties of rational exponents to simplify expressions with radical or rational exponents.
Please apply the properties of rational exponents to simplify expressions with radical or rational exponents.

Answers

Step-by-step explanation:

Product property

If the bases are the same, you don't multiple them. However, if they are the same, you do multiple for example : (2³ * 2¹ = 2⁴.when the bases are the same) (2³ * 3¹ =6⁴. When the bases are not the sameWe add the index.

Quotient property

Same here, if the bases are the same, they stay the way they wereWe subtract the index

Power property

Here we multiple the index because of the bracket for example : (9²)²= 9⁴

Negetive exponent property

When ever the index has a negative sign its convected to a fraction, for instance : 9¯² = 1 /9²Note, when it turns to a fraction th index becomes positive

Can u guys help me with this question!! :)

Can u guys help me with this question!! :)

Answers

Answer:

A

Step-by-step explanation:

5/8=0.625

0.42=0.42^2

A company paid a ₦25200 electricity bill to NEPA. The bill included VAT at 5%. Calculate the amount of VAT paid​

Answers

Answer:

1260

Step-by-step explanation:

5÷100=0.05

0.05×25200=1260

solve and graph on number line8 - 1y ≤ 7

Answers

Solution: y \(\geq\) 1

Graph:

solve and graph on number line8 - 1y 7

Please help me I need help I give brainly:)

Please help me I need help I give brainly:)

Answers

y is 3 :) !!!!!!!!!!!!! hi

Answer:

i don't know how i can help you

Step-by-step explanation:

A scale drawing of a playhouse is shown below. What is the total height of the actual playhouse?

A. 4 ft
B. 6 ft
C. 8 ft
D. 16 ft​

A scale drawing of a playhouse is shown below. What is the total height of the actual playhouse? A. 4

Answers

Answer:

A

Step-by-step explanation:

It’s actually D because half of an Inch =1ft
So 1/2+1/2=1 Inch and 1 inch =2ft so if you know that then it’s just simple 5•2 which is 10 and 3•2 which is 6 and 10+6=16
But u have to remember for other problems that u need to follow the scale

help me please

The roasting guide for a turkey suggests cooking for a total of 100
minutes plus an additional 8 minutes per pound.

question: How much time would it take to roast a 27
lb turkey?
Answer minutes

Answers

Answer:

i think its 316 ?

Step-by-step explanation:

27 x 8 = 216, then add that to the 100 minutes and you get 316 minutes

Convert 404 decimal into quinary number.​

Answers

                                                                                                                                                                                                   

Step-by-step explanation: 404 = 4.04 x 10 x 10

404=4.04 x 10^2

a container weighs 5kg when empty but weigh 13kg and 25kg when it is completely full of water what is the weight of the water it is one quarter inside the container when it is one quarter filled with water

Answers

The weight of the container when one quarter filled with water would be = 13.25kg

What is weight?

Weight is defined as the quantity that shows the total amount of matter that can be found in an object and it's measured in grams or Kilograms.

The weight of the empty container = 5kg

The weight of the container and water= 13+25= 38kg

Therefore the weight of water = 38-5= 33kg

If 1 = 33kg

1/4 = X kg

Make X kg the subject of formula;

X kg = 33×1/4

X kg = 8.25 + 5kg( weight of container) = 13.25kg.

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The area of a rectangle is 243.9 m2. If the length is 15 m, what is the perimeter of the rectangle?

Answers

Step-by-step explanation:

Given

Area of rectangle (A) = 243.9 m²

Length (L) = 15 m

first calculating the breadth (b)

We know

L * b = A

15 * b = 243.9

b = 243.9/ 15

b = 16.26 m

Now

Perimeter (p)

= 2 ( L + b)

= 2 ( 15 + 16.29)

= 62.58 m

Hope it will help

If area of a rectangle is 243.9 m2. If the length is 15 m, then  perimeter of the rectangle is 62.58 m.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

Area of rectangle (A) = 243.9 m²

Length (L) = 15 m

To find the  perimeter we need to know the breadth

Calculate the breadth (b)

Area=Length×Breatdth

243.9=15 × b

Divide both sides by 15

b = 243.9/ 15

b = 16.26 m

Perimeter= 2 ( Length + breadth)

= 2 ( 15 + 16.29)

= 62.58 m

Hence  the perimeter of the rectangle is 62.58 m.

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true or false
mathematics ​

true or false mathematics

Answers

Answer:

both statements are true

Find length of line segment ac

Find length of line segment ac

Answers

Answer:

8

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

gjxxjgyxjgcgjxjgcjyddjjyf

The large sphere has a diameter of 20 feet. a large sphere has a diameter of 20 feet. a smaller sphere with a radius of 4 feet is cut out of the center of the larger sphere. which expression represents the volume, in cubic units, of the shaded part of the sphere? four-thirdsÏ€(103) four-thirdsÏ€(43) four-thirdsÏ€(103) â€" four-thirdsÏ€(43) four-thirdsÏ€(203) four-thirdsÏ€(43) four-thirdsÏ€(203) â€" four-thirdsÏ€(43)

Answers

Volume is a three-dimensional scalar quantity. The correct option is B, (4/3)π(10)³ - (4/3)π(4)³.

We have been given that a large sphere has a diameter of 20 feet. A smaller sphere with a radius of 4 feet is cut out of the center of the larger sphere. We are asked to find the volume outside smaller sphere and inside larger sphere.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume, in cubic units, of the shaded part of the sphere is the difference between the volume of the larger sphere and the smaller sphere. Therefore, the volume can be written as,

The volume of the sphere = (4/3)π(10)³ - (4/3)π(4)³

Hence, the correct option is B, (4/3)π(10)³ - (4/3)π(4)³.

Complete Question:

The large sphere has a diameter of 20 feet. A large sphere has a diameter of 20 feet. A smaller sphere with a radius of 4 feet is cut out of the center of the larger sphere. Which expression represents the volume, in cubic units, of the shaded part of the sphere? Four-thirdsπ(103) + Four-thirdsπ(43) Four-thirdsπ(103) – Four-thirdsπ(43) Four-thirdsπ(203) + Four-thirdsπ(43) Four-thirdsπ(203) – Four-thirdsπ(43)

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HELP ME PLS LOV U HUYS ,333<33445

HELP ME PLS LOV U HUYS ,333&lt;33445

Answers

141.6 cm cubed. Hope this helps

Answer:

141.6 cm cubed

Step-by-step explanation:

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When air (21 mole % oxygen, 79 mole % nitrogen) is placed in contact with 1000 cm3 of liquid water at body temperature 36.9C, and 1 atm absolute, approximately 14.1 standard cubic cm (cm3(STP)) of gas are absorbed in the water at equilibrium. Subsequent analysis of the liquid reveals that 33.4 mol% of the dissolved gas is oxygen and the balance nitrogen. A) Estimate the Henrys law coefficients (atm/mol fraction) for oxygen and nitrogen at 36.9C based on the information in the problem. B) An adult absorbs approximately 0.4 g O2/minute in the blood flowing through the lungs. Assuming blood behaves like water and it enters the lungs free of oxygen, estimate the flow rate of blood into the lungs. C) The actual flow rate of blood into the lungs is 5 L/min. Identify any assumptions made in part B) to cause this discrepancy. endotherms: usually maintain a constant body temperature that is higher than that of their environment. a. have high metabolic rates. b. include mammals and birds. c. all of these choices are correct. 9. Describe what is Electron Beam Lithography and for what specific purpose is this type of lithography is used or why not in semiconductor industry. [8 marks] Find the area and circumference of the circle. (x - 1)^2 + (y-2)^2 = 100 The area of the circle is ______(Simplify your answer. Type an exact answer, using as needed.) The circumference of the circle is _____ (Simplify your answer. Type an exact answer, using as needed.) HELP!! Time sensitive !! Giving brainly what is electrolysis and how does it work?? simple explanation pls :) Which statement best completes the diagram? Culture of Northern AfricaIndigenous people are called berbers. There are several large, modern urban centers.A. The most common language is ArabicB. Most people are nomadic herdersC. Christians are banned from the region D. Arts are strictly controlled by the government Required: a. Compute gross profit, the goods available for sale, and the cost of goods sold for the merchandiser. Hint: Not all information may be necessary. b. Use the above information from a service company and from a merchandiser to compute net income. The following are generic characteristics of human service practice except one. Which one is it? O culture-bound values O standard-english preference gender-bound values O class-bound values What is the measure of angle B? Someone please help ASAP!! ANSWER FOR BRAINLIESTWhat sort of rhetorical appeal is Squealer attempting to use by quoting "files","reports". "minutes", and "memoranda"? HELP ASAP WILL GIVE BRAINLYISTThese models represent molecules that play a role in theimmune system.In which two ways do these molecules fight pathogens in the body?A. They bind to pathogens that enter the body.B. They recognize specific pathogens in the body.I C. They eat pathogens that attack the body.O D. They carry pathogens out of the body. Why did Ms. Richholt think that cameras were magic? Which of the following is a factor of x 2 6 x 16?A. X-2B. X-8C. X+8D. X-6 Find the value of x. If a segment looks like a tangent, it is a tangent. B Extended Problem Solving To produce one pound of honey, the bees from a hive fly over 55,000 miles and visit about 2 million flowers. 27. About how many miles do the bees fly to make 10 ounces of honey? 26. About how many flowers are visited to make 10 ounces of honey? 28. Explain What is the mean number of flowers visited per mile traveled? Explain your reasoning. How did early humans make tools A week bond between two hydrogen molecules;found between water molecules and nucleotides in DNA Throughout most of recorded history did people build their own homes or rely on architects? This photo depicts modern-day Cuba. Modern-day Cuba. A 1950's car sits parked along a street. How does this picture illustrate an effect of national security policies against Cuba? It shows that Cubans cannot afford new and modern items. Only necessities such as transportation are available to people. Modern American cars are not available due to trade restrictions. The empty street shows a lack of tourism and travel.