The argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])
Complex number:
A complex number is a result of adding a real and an imaginary number. A complex number has the formula a + ib and is usually represented by the symbol z. Both a and b are real numbers in this case. The value 'a' is known as the real part, which is denoted by Re(z), and the value 'b' is known as the imaginary part Im (z). ib is also known as an imaginary number.
Argument:
A complex number is represented in polar form by the equation r(cos[tex]\theta[/tex] +isin[tex]\theta[/tex]), where [tex]\theta[/tex] is the argument. Arg(z) denotes the argument function, where z is the complex number, i.e. z = x + iy. The complex argument can be determined by the following formula:
arg (z) = arg (x+iy) = [tex]tan^{-1}[/tex](y/x)
Here the given complex number is ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )
arg (z) = arg ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] )= [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])
Therefore,the argument of complex number ([tex]\frac{4}{5}[/tex]+i[tex]\frac{3}{5}[/tex] ) is [tex]tan^{-1}[/tex]([tex]\frac{3}{4}[/tex])
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What percentage of the data values are greater than 80?
64.71% percent of the data values are greater than 80.
What is the percentage?
In Ancient Rome, long before the actuality of the decimal system, computations were constantly made in fractions in the multiples of '/ 100', For illustration, Augustus levied a duty of1/ 100 on goods sold at sale known as centesimal Rerum valium. Computation with these fractions was original to calculating chances. They named it as a percentage.As nomenclatures of capitalism grew in the Middle ages, computations with a denominator of 100 came increasingly standard, analogous that from the late 15th century to the early 16th century, it came common for calculation-handbooks to include analogous computations known as percentage.Multitudinous of these handbooks applied these styles to profit and loss, interest rates, and the Rule of Three. By the 17th(seventeenth) century, it was standard to quote interest rates in hundredthsMin. value = 30
Max. value = 85
Percentage (%) of data values greater than 30(thirty) = [tex]\frac{55}{85} X 100[/tex]
= 64.71%
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Given f(x) = 2x² - 5x, evaluate f(x-4) + f(x)
Step-by-step explanation:
f(x) = 2x² - 5x
= f(x-4) + f(x)
= [2.(x-4)² - 5.(x-4)] + [2x² - 5x]
= [2.(x² - 8x + 16) - 5x + 20] + [2x² - 5x]
= [2x² - 16x + 32 - 5x + 20] + [2x² - 5x]
= [2x² - 21x + 52] + [2x² - 5x]
= 4x² - 26x + 52
In the figure below, m4=96°. Find mZ1, mZ2, and mZ 3.
The answer is m∠1 = 84°
Step-by-step explanation:
m∠4 = m∠2 so m∠2 = 96°
m∠1 + m∠2 = 360 - m∠4 - m∠2
m∠1 + m∠2 = 360 - 96 - 96
m∠1 + m∠2 = 168
m∠1 = 168/2
m∠1 = 84°
Which is more affected by extreme observations, the mean or median? and how about the standard deviation or iqr?
Mean and standard deviation is more affected by extreme observations.
Mean is the summation of all the values divided by the total number of values. It is also called as average. Median is the middle value.Standard deviation is the dispersion of a dataset relative to its mean. In case of extreme items arithmetic mean is affected very much. For this reason, it no longer remains representative of the distribution. As standard deviation is the positive square root of the arithmetic mean of the square of deviations of all given values, it is also affected by extreme items. As median is a partition value, it is not affected by extreme items.
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A+company+packed+8+dark+chocolates+in+a+box+of+32+assorted+chocolates.+which+of+these+does+not+represent+inferential+statistics?+a.)+25%+of+the+chocol
Answer:
it is 3
Step-by-step explanation:
beacuse i did it
If you are examining a function over an interval ( a , b ) , for a and b finite, is it possible not to have an absolute maximum or absolute minimum?
Yes, it is not possible to have an absolute maximum or absolute minimum.
Here,
We are examining a function over an interval ( a , b ) , for a and b finite,
We have to find, is it possible not to have an absolute maximum or absolute minimum.
What theorem indicates the existence of absolute maxima or absolute minima of a function?
If f is continuous on a closed interval [a, b] (that is: on a closed and bounded interval), then, the Extreme Value Theorem indicates the existence of an absolute maximum or minimum value of f on the interval [a, b].
Now,
The function is define over an interval (a, b).
Hence, the function is define on open interval.
So, it is not possible to have an absolute maximum or absolute minimum.
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Suppose that y is directly proportional to x. use the given information to find the constant of proportionality k. then use y = kx to find y for the given value of x. y = 30 when x = 10;find y given x = 14
The the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.
Constant proportionality:
Constant proportionality means the ratio of two proportional values at a constant value.
Directly Proportional:
In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively.
Given,
Suppose that y is directly proportional to x.
And y = kx.
Here we need to find the value of k when the value of x = 10 and the value of y = 30.
And we also need to find the value of y when the value of x = 14.
First, we have to find the value of k by apply the given value of the equation,
=> 30 = k x 10
=> 30 /10 = k
=> k = 3
Now the value of y when the value of x = 14 and the value of k = 3,
Then
=> y = 3 x 14
=> y = 42.
Therefore, the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.
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I need help with these
Irrational because the number keeps going on forever and it does not repeat a certain pattern like 0.24242424...
Triangle ABC has coordinates (-1, 3), (4, 2), and (0, -5). Its image is a dilation of ABC with a scale factor of 3. Identify the coordinates of its image.
The coordinates of ABC are respectively (-1/3,1), (4/3,2/3), and (0/3,5/3) .
Given a point P(x,y), its dilation about the origin by a scale factor of k maps the point to a point P'(kx,ky).
If we are given the dilated point, then we can find the original point by dividing by the scale factor.
Triangle ABC was dilated by a scale factor of 3 about the origin mapping it to triangle A'B'C' with vertices A'(-1/3), B'(4/,2), and C(0/-5).
The coordinates of triangle ABC are:
A=(-1/3,3/3) = (-1/3)
B=(4/3,2/3) = (4/3,2/3)
C=(0/3,-5/3) = (0/3,-5/3)
coordinates are formed by two components that are a latitude , giving the north-south position, and a longitude, giving the east-west position.
Therefore the coordinates of ABC are respectively (-1/3,1), (4/3,2/3), and (0/3,5/3)
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When Savannah's parents are away celebrating their anniversary, she gets to sleepover for a week at her grandparents' house. Afterwards, Savannah decides to make her grandparents a photo album of their time together. There are 9 pages in the album. Savannah puts the same number of photos on each page, for a total of 63 photos.
Answer:
7 photos on each page
Step-by-step explanation:
63/9 = 7
She puts 7 photos on each page.
Show the correct steps and solution
After simplifying the expression, - ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y), we get the result as - 11 / 2 x + 4 y.
- ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y)
First we will multiply 2 and open the brackets.
So, we get that:
- 7 x + 3 y + 3/2 x + y
Combining the like terms, we get that:
= ( - 14 + 3 ) x / 2 + 3 y + y
Simplifying and solving the expression to obtain the result, we get that:
= - 11 / 2 x + 4 y.
Therefore, after simplifying the expression, - ( 7 x - 3 y ) + 2 ( 3/4 x + 1/2 y), we get the result as - 11 / 2 x + 4 y.
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The difference in the percent of women who became pregnant in the two groups is statistically significant. Explain what this means to someone who knows little statistics.
Three principles of experimental design: Control, Random, Enough.
What is the principle of an experiment?
The guiding principles of experimental designs are randomization, replication, and local control. These recommendations offer a valid test of significance.
What are the three experimental design principles, and can you briefly describe how each one reduces experimental error?
The three essential principles of randomization, replication, and local control are applied to avoid systematic error and to control random error. Allocating the treatments or factors to be tested to the experimental units based on predetermined rules or probabilities is the process of randomization.How many experimental design principles are there?
Following are three fundamental principles of experimental design: Randomization: Applying various treatments to experimental units at random.Replication: Repeatedly employing the basic plan on several experimental units.Learn more about experimental design
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The function m(x) = |x-441 represents the absolute deviation (in years) of a man's agex (in years) from the average age of men in a
city. The function w(x)=x-47| represents the absolute deviation (in years) of a woman's age x (in years) from the average age of
women in the same city. Compare the absolute deviations for a man and a woman who are both 64 years old.
A
The age of the man is years from the average age of men in the city. The age of the woman isyears from the average age of women in the city.
the absolute deviation for the man is 3 years more than the one for the woman.
How to compare the deviations?We know that the absolute value function:
m(x) = |x - 44|
Represents the absolute deviation of man's age, in years.
This means that the average age of a man in that city is 44 years old, so if a man has 64 years, then the absolute deviation is given by:
m(64) = |64 - 44| = 20
The absolute deviation for a man of 64 years old living in this city is 20 years.
Similar for the case of women, the equation here is:
w(x) = |x - 47|
If a woman has 64 years old, then the absolute deviation is:
w(64) = |64 - 47| = 17
The absolute deviation is 17 years.
We can see that the absolute deviation for the man is 3 years more than the one for the woman.
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given that 23x-32y =o where x and y are number bases express x in terms of o and y
Expressing x in terms of 0 and y gives x = 0 + (32/23)y
Given the expression 23x-32y = 0 with number bases x and y.
This equation actually expresses 0 in terms of x and y as 0 is isolated to one side of the equality.
We have to express x in the same equation in terms of 0 and y.
So we need to isolate x to one side of the equality.
23x-32y = 0
⇒23x = 0 +32y
Dividing throughout by 23 gives,
⇒ x = 0 + (32/23)y
This is x expressed in terms of 0 and y
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5x - 8x - 7=-3x+5-7 won’t pull an answer to check my answer
Find the product of 2√/18 and 2√5 in simplest form. Also, determine whether the
result is rational or irrational and explain your answer.
2√10/3 is irrational number
The term "rational number" refers to any number that can be stated as a fraction, as well as a positive, negative, or zero. If q is not equal to zero, it can be expressed as p/q.
The word "rational" is derived from the word "ratio," which is a fraction and really refers to a comparison of two or more values or integer numbers. It is the ratio of two integers, to put it simply.
Consider the rational integer 3/2. It denotes that the integer 3 is divided by the number 2.
Irrational numbers are those that are not rational in nature. Let's explain; irrational numbers can be expressed as decimals but not as fractions, hence they cannot be expressed as the ratio of two integers.
After the decimal point, irrational numbers have an infinite amount of non-repeating digits. Here's an illustration of an irrational number:
For instance, 8 = 2.828
MULTIPLYING THE TWO NUMBERS,
2/√18 x 2√5
= 2 /3√2 x 2√5
= 4√5/3√2
= 2√2 x √5 /3
= 2√10/3
rational number multiplied by an irrational number is always a irrational number.
Since √10 is a irrational number, therefore, 2√10/3 is irrational number.
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Problem 12 how do u do this
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
Let's set up some equations based on the information given:
You purchased a desk for 60% of the original price, p[tex]\hookrightarrow \text{60 percent of p} = \frac{60}{100} *p=0.6p[/tex]
The price that you paid is $32 less than your paid is:[tex]\hookrightarrow \text{'32 less than p'} = p-32[/tex]
Therefore:
[tex]\hookrightarrow \text{You paid '0.6p' or 'p - 32'}[/tex]
[tex]\hookrightarrow \text{The equation is } '0.6p = p-32'[/tex]
[tex]0.6p=p-32\\p-0.6p=32\\0.4p=32\\p = 80[/tex]
Answer:
Equation: 0.6p = p - 32Original Price of desk: $80Hope that helps!
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Find the area of the region enclosed by the curves y = 7 sin x and y = sin(7x) , 0 < x
The area of the region enclosed by the curves y = 7sin x and y = sin(7x) , 0 < x < π is 13.7 square units.
Given the equation of the curves:
y = 7sin x and y = sin(7x)
Now, we have to find the area between the curves .
Area between y = 7sin x and y = sin(7x) ,
A = ∫[7sin(x) - sin(7x)]dx
⇒ A = [-7cos(x) + 1/7 cos(7x)]
⇒ A = [-7cos + 1/7 cos(7)] - [-7cos(0) + 1/7 cos(0)]
Since cos(π) = -1 ; cos(7) = -1 ; cos(0) = 1
⇒A = [-7(-1) + 1/7 * (-1)] - [-7 * 1 + 1/7 * 1]
⇒A = 7- 1/7 + 7 - 1/7
⇒A = 14 - 2/7
⇒A = 96/7
⇒A = 13.7 units
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100(mod5) simplify it
Answer:
0
Step-by-step explanation:
−4⋅(45)(−1)
What is the product?
answer: 180
first I multiplied -4 with 45, which gave me -180, then I made 180 positive by multiplying it with -1
________ is concerned with making predictions about a population from analyzing a sample or through observations.
Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.
Here,
We have to find the concerned with making prediction about a population from analyzing a sample or through observation.
What is Inferential statistic?
Inferential statistics is used in measurements from the sample of subjects in the experiment to compare treatment groups and to make generalizations about the larger population of subjects.
Now,
Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.
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Which of the following could be used to
determine the number of hits a player has
during the season?
h = Ab
h=A+b
A.
B.
C. h=
D. h=
A
b
b
A
It was mostly during C . Dry season
The “Cricket Season” is the period of days where cricket is played in a country when the pitches get dry and also this is the period where the domestic matches begin.
And this season varies with countries, in India it starts with the Ranjit Trophy, Sheffield Shield for Australia etc.
Cricket seasons are the times of the year when cricket is played. Because top-class cricket is almost always played outdoors, on uncovered pitches, and rain prevents play, the seasons in each country are geared to coincide with the driest months of the year
The cricket season starts at the beginning of April and finishes at the end of September. As the time zones move around the planet, the seasons will differ in other countries.
In the UK,
professional games have occasionally taken place at the end of March but the season will normally begin at the start of April.
In India
The cricket season in India will usually begin in mid-September. Often, there are senior women’s games starting things off before men’s tournaments commence in October.
In Australia
Cricketers in Australia may start playing in September, especially in the west of the country which gets the warmer weather first.
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I need help, will somebody please help me and FAST! The question is in the picture
Answer:
I'm gonna solve it in words each day the snail climbs 3 feet but drops down to 2 feet ( 3-2 = 1) let the days it will take be equal to Xwe divide 10 feet by the feet reached a day, it will become:10/1 = X
Cross multiply
X = 10
so it would take 10 days for the snail to reach 10 feet Hope this helpsace that homeworkGood luck ✅A 2-pound bag of carrots costs $7.68. What is the price per ounce?
The price of carrots per ounce is $0.24 .
Ounce is an unit of mass in the Imperial System. It is widely used throughout the world and is one of the oldest units of measurement to still exist. The unit ounce is derived from uncia, a unit of measurement in roman times.
The ounce(abbreviated oz) is equal to approximately 28.35 grams and 16 ounces make up a pound.
Now it is given that a 2-pound bag of carrots cost $7.68 .
Therefore price per pound of carrots=$7.68÷2
Price per pound=$ 3.84 .
Now we know that 16 ounces make up a pound.
Price of carrots per ounce= $3.84 ÷16
Price per ounce= $ 0.24
Therefore the price of carrots per ounce is $0.24
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Describe what hypothetical data might support the hypothesis. for example, the hypothesis would be supported if we found data that indicated ________.
The hypothesis of extinction by the violence between them does not seem true as this is the common nature of the species to fight and this would not be a reason for their extinction.
What is a hypothetical illustration?
Something that is founded on an assumption or idea is considered hypothetical.A hypothetical plan is one that is predicated on an unlikely event.How should a hypothetical example be written?
The words or abbreviations "for instance," "for example," "i.e." or "e.g." are frequently used after a hypothetical example, albeit the latter two, as you are probably aware, will only come after a comma and won't initiate a new sentence like "for instance" or "for example."
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If real gdp in a particular year is $80 billion and nominal gdp is $240 billion, the gdp price index for that year is 100. 300. 240. 200.
Answer:
If real GDP in a particular year is $80 billion and nominal GDP is $240 billion, the GDP price index for that year is: 300.
Step-by-step explanation:
PLEASE I ONLY HAVE 15 MINS LEFT, HELP! Find the inverse of the following matrix:
Answer:
The inverse is [-4/3 -5/3 1]
[-4/3 -8/3 1]
[1/3 2/3 0]
Sorry, I didn't know how to type it well.
1/5v+gt =a Solve for V
Answer:
v = 5(a - gt) or
v = 5a - 5gt These both mean the same thing
Step-by-step explanation:
1/5 v + gt = a Subtract gt from both sides of the equation.
1/5 v = a - gt Multiply both sides by 5
v = 5(a - gt)
The entire area under the standard normal distribution curve? can be any value cannot be negative can be any positive value can be any positive value larger than 1
The entire area under the standard normal distribution curve is always positive even if the z value is negative.
The normal distribution, it's useful to think of the standard deviation as being steps away from the mean. One step to the right or one step to the left is considered one standard deviation away from the mean. Two steps to the left or two steps to the right are considered two standard deviations away from the mean. Likewise, three steps to the left or three steps to the right are considered three standard deviations from the mean.
The probability of the outcome of an experiment is never negative, although a quasi probability distribution allows a negative probability, or quasi probability for some events. These distributions may apply to unobservable events or conditional probabilities.
Therefore,
The value can be negative can be any positive value can be any positive value larger than 1.
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Find the range of allowable values based on the given information. round to the nearest tenth. 44; can vary by 4.2%
The range of allowable values based on 44 vary by 4.2% is 42.1 to 45.9.
As given in the question,
Value 44 vary by 4.2% is equal to
4.2% of 44
= ( 4.2 / 100) × 44
= 184.8 /100
= 1.848
≈ 1.9 (nearest tenth)
Range of allowable values based on 44 vary by 4.2% is given by
Lower limit = 44 - 1.9
= 42.1
Upper limit = 44+ 1.9
= 45.9
Therefore, the range of allowable values based on 44 vary by 4.2% is 42.1 to 45.9.
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