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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What is 180 mph in kmh ?
Answer:
Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)
Step-by-step explanation:
Convert from mph to kmhMile 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
roots = {-2, -6}
Factors: (x + 6) and (x + 2)
write the expression into standard form a + bi calculator
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)
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
The best unit of measurement to represent the diameters of Mars and the Sun is millimeters.
How to explain the measurement1 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
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
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.
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.
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
Answer:
-(r+8)
Step-by-step explanation:
How do you solve 859/3 in 5 steps
Answer:
286.333
Step-by-step explanation:
Find it doing long division...
1/2(-3/2n+1)=3/4-n
What does n equal
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
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)
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
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
help now pls no links thank u
Answer:
I think its C
Step-by-step explanation:
PLEASE PLEASEEEEEEEEE PLEASEEEE ANSWERRRRR ILL LOVE UUUU!!!
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.
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 indexPower property
Here we multiple the index because of the bracket for example : (9²)²= 9⁴Negetive 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 positiveCan u guys help me with this question!! :)
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
Answer:
1260
Step-by-step explanation:
5÷100=0.05
0.05×25200=1260
solve and graph on number line8 - 1y ≤ 7
Solution: y \(\geq\) 1
Graph:
Please help me I need help I give brainly:)
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
Answer:
A
Step-by-step explanation:
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
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.
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
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?
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
Answer:
both statements are true
Find length of line segment ac
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)
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
Answer:
141.6 cm cubed
Step-by-step explanation: