The complex number in standard form is written as:
Z = 1.99 + i*0.201, so the correct option is a
How to write the complex number in standard form?Remember that a complex number can be written in standard form as:
Z = a + b*i
And in polar form the notation is (R, θ):
[tex]Z = R*e^{i*\theta} = R*cos(\theta) + i*R*sin(\theta)[/tex]
Here we have the complex number:
Z = 2(cos(11pi/6) + i*sin(11pi/6))?
So here we just need to solve these expressions, we will get:
Z = 2*(0.995 + i*0.100)
Z = 1.99 + i*0.201
Learn more about complex numbers:
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Complete question:
"Convert the polar representation of this complex number into its standard form: z = 2(cos 11pi/6+ i sin 11pi/6)? "
what is 23 + 23 - 789
Answer:
743
Step-by-step explanation:
23+23=46
789-46=743
Answer:
743
Step-by-step explanation:
Which of these best describes a pair of supplementary angles?
a . Two angles whose sum is 90°.
b . Two non-adjacent angles formed by the intersection of two lines.
c . Two angles whose sum is 180°
d . Two angles that share a common side and vertex with no common interior points.
Answer:
c . Two angles whose sum is 180°
Step-by-step explanation:
Hope it helps you in your learning process
Question #4
The radius of a circle is 12 inches.
Enter the circumference of the circle, in inches. Round your answer
to the nearest hundredth.
Answer:
80.11 inches
Step-by-step explanation:
The formula to finding the circumference of a circle is:
C = 2πr (C = circumference, π = pi, r = radius)
Replace r with the radius:
C = 2π(12.75)
Now, multiply 2 times pi, then multiply that by 12.75, and the answer rounded
to the nearest hundredth is 80.11
Find the value of x.
m2 = x + 85
2
73°
Answer:
-12
Step-by-step explanation:
in an iscocles, the base angles equal eachother so,
73=x+85
x=-12
which explains how to find the quotient of the division below -3 1/3 / 4/9
The length of a rectangle is 3 meters greater than 2 times the width, The perimeter of rectangle is 30 meters
Answer: 1= A/w
Step-by-step explanation:
Find the vertex of the graph of the quadratic function f(x)=7x2+14x+10
Answer:
plazzz get lost bro fast
The population of a school will increase by 3% per year. In 2005, the population was 127 students. Use a graph to find when the population will be
Enter the correct year in the box.
Using an exponential function, it is found that the population will be of 350 students in the year of 2039, 34.3 years after 2005.
What is an exponential function?An increasing exponential function is modeled according to the rule presented as follows:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which the parameters of the equation is defined as follows:
A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.In the context of this problem, the values of the parameters are given as follows:
A(0) = 127, which is the number of students in the reference year of 2005.r = 0.03, which is the yearly increase rate.Hence the equation for the number of students in t years after 2005 is given as follows:
[tex]A(t) = 127(1.03)^t[/tex]
The number will be of 350 students when A(t) = 350, hence:
[tex]A(t) = 127(1.03)^t[/tex]
[tex]350 = 127(1.03)^t[/tex]
[tex](1.03)^t = \frac{350}{127}[/tex]
[tex]\log{(1.03)^t} = \log{\left(\frac{350}{127}\right)}[/tex]
[tex]t\log{1.03} = \log{\left(\frac{350}{127}\right)}[/tex]
[tex]t = \frac{\log{\left(\frac{350}{127}\right)}}{\log{1.03}}[/tex]
t = 34.3 years.
34.3 years = during the year of 2005 + 34.3 = 2039. This result is shown by the graph at the end of the answer.
Missing InformationThe problem asks for when the population will be of 350 students.
More can be learned about exponential functions at https://brainly.com/question/25537936
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Which set of ordered pairs represents a linear relationship?
A {(0, 1), (2, 2), (-2, 0), (4,3)}
B. {(0, -2), (1, 1), (-1,-3), (2, 3)}
C. {(0, -1), (1, 1), (-1,-2), (2,3)}
D. {(0, -2.5), (5, 2.5), (1, -2.5), (-1, -3.5)}
Answer:
A
Step-by-step explanation:
Solve the equation
2x2 + 12x - 7 = 0
by completing the square.
Give your answers correct to 2 decimal places.
Show step by step please!!!!
Step-by-step explanation:
4+12x=7
12x=7-4
12x=3
X=3/12
X=0.25
SOMEONE PLS HELP ME
Answer:
4
Step-by-step explanation:
hope this helps
Answer:
The slope is 2
Step-by-step explanation:
its 6/3 and if you simplify that its 2
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(5, 38) (6, 39)
(39 - 38)/(6 - 5) = 1/1= 1
y - 38 = x - 5
y = x + 33
solve the equation 8 + b = 26 and b=
19 tens is the same
as
Count forward by fives.
Evalute 4+(7-5)⁴?
PLEASE HELP
Answer:
The answer is 20
Step-by-step explanation:
(7-5)=2
2^4 = 16
16 + 4 = 20
100% of what equals 12
Answer:
12
Step-by-step explanation:
15x > - 60
Help and I’ll give u brainlist :)
Answer:
most likely 1 or 20 but im not so sure tho
Here again are the results of a survey that students conducted at a mall. The students conducted this survey as part of a statistics project to determine if younger adults are more likely to have tattoos. At least one tattoo No tattoo Row Totals Age 18 - 29 170 320 490 Age 30 - 50 60 445 505 Column Totals 230 765 995 Which proportions are most useful in analyzing the relationship between age and tattoos? Group of answer choices 170 / 230 and 60 / 230
Answer:
1. 170/490 and 60/505
2. 320/490 and 445/505
Step-by-step explanation:
No options were given, but the question can still be answered
Given
[tex]\begin{array}{cccc}{} & {\ge 1\ tattoo} & {0\ tattoo} & {Row\ Total} & {18 -29} & {170} & {320} & {490} & {30 - 50} & {60} & {445} & {505} & {Column\ Total} & {230} & {765} & {995}\ \end{array}[/tex]
Required
Which proportion best compares age and tattoos?
The row data represents the age range of each group while the column data represents the amount of tattoo by each group.
So, to make comparison:
You simply pick a cell data and compare it to the row total.
Take for instance
For those who have at least 1 tattoo. The proportion to use are:
170/490 --- For age range: 18 - 29
60/505 --- For age range: 30 - 29
For those without tattoo. The proportion to use are:
320/490 --- For age range: 18 - 29
445/505 --- For age range: 30 - 29
A store has apples on sale for $21.00 for 6 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $168.00? Complete the explanation.
The cost per pound of the apples on sale is $__.
You can buy ___
pounds of apples for $168.00.
Since 1 pound = 16 ounces, so there are about ___
apples in each pound.
You can buy approximately ___
apples for $168.00.
Answer:
34
Step-by-step explanation:
168÷5=8
Divided The Cost By The Pounds
v= u + at, find v, when u = 12, a = 5 and t = 7
Answer:
V=47
Step-by-step explanation:
12+5x7
12+35
47
Answer:
Final velocity (v) = 47 m/s
Step-by-step explanation:
u = 12
a = 5
t = 7
v = ?
v = u + at (first law of motion)
v = 12 + (5 × 7)
v = 12 + 35
v = 47 m/s.
What is the area of the figure?
Answer:
졌던 냥 샷 세 새 새 휴 여ㅔ헤헤헤헤헤헤하리ㅎㄴ하왕허웋ㅇ헝후오ㅡ아ㅗ여ㅏㅕ라ㅕ라ㅗㅇ렁셔 요 쇽뎌ㅕ려래ㅛ요ㅓㅓㅛ요ㅏ다ㅛ 또훙서 유ㅓ가ㅗㅗ히ㅓ
ㅍ피ㅓ리ㅓ히ㅓㅓ히ㅗ챠ㅗㅗ료ㅡ쵸ㅏㅇ
Step-by-step explanation:
ㅇㅎ겨개ㅛ교ㅑ아ㅛ려ㅐㄹ서넣요ㅏㅗㅏ차ㅗ셔ㅏ 로 홀ㅛㅕㅑ쇼ㅑ겻효ㅕ 껴ㅛㅕㅛ교ㅑ교ㅐ료ㅏ래ㅕ새ㅕ리ㅕㅐㅕㅔㅑㅣㅕ셔ㅐ ㅕㅣ셔ㅐㄱㅕㅔ샹샹허텋요ㅑ오툐ㅏ어ㅣ래ㅕ촤쳐ㅐ료ㅑ와타ㅛ낳와탸ㅛ와촤야ㅛ 유ㅗㅡ촤우ㅗ퇴롸러ㅣ혀ㅣ라ㅛㅌ샤 ㅗㅣ래ㅛ려ㅣ랴ㅛ아ㅗ처ㅣ촤여ㅣ리ㅕㅓ쵸ㅐ려ㅣㅓㅓㅣ리ㅓㄹㅗㅏ려ㅣ려ㅣ려ㅣㅣㅕㅛㅑㅓㅛ나굣이셔서ㅣㅣ시서ㅣ서소니서서서성섯여ㅣ햐ㅔㅅ하ㅕㅓ퍄샤도ㅕㅐ요ㅏㅗ럇냐ㅛ려ㅔㅐㅈ서ㅕㅣ세ㅕ엿처억 ㅣㅕ려
C. Find the value of x below:
15.r + 5
-2 + 16.
Answer:
7
Step-by-step explanation:
(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.
Measures of corresponding angles are equal.
Therefore,
- 2 + 16x = 15x + 5
16x - 15x = 5 + 2
x = 7
he mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 16001600 voters in the town and found that 344% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 311%. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
2.60
Step-by-step explanation:
Given that:
n = 1600
[tex]\hat p = 0.34[/tex]
[tex]P_o = 0.31[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{\hat p - P_o}{\sqrt{ \dfrac{P_o\times (1-P_o) } {n} }}[/tex]
[tex]Z = \dfrac{0.34-0.31}{\sqrt{ \dfrac{0.31 \times (1-0.31) } {1600} }}[/tex]
[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.31 \times (0.69) } {1600} }}[/tex]
[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.2139} {1600} }}[/tex]
[tex]Z = 2.60[/tex]
A recent General Social Survey asked respondents how many close friends they had. For a sample of 1467 people, the mean was 7.4 and the standard deviation was 11.0. The distribution had a median of 5 and a mode of 4.Based on these statistics, would you expect this distribution to be bell-shaped, left skewed, or right skewed?
Answer:
This distribution should be expected to be right skewed.
Step-by-step explanation:
Pearson skewness:
The skewness of a data set is given by the subtraction of the mean by the mode, divided by the standard deviation.
If the coefficient is positive, the distribution is right skewed.
If the coefficient is negative, the distribution is left skewed.
If the coefficient is sufficiently close to 0(+/- 0.05), the distribution is bell shaped.
In this question:
Mean 7.4, mode 4, standard deviation 11
(7.4-4)/11 = 3.4/11 = 0.31
Positive coefficient, so right skewed.
Berapakah volume bangun di atas?
Pake cara yya !
Answer:
Volume of the figure = 64 cm³
Step-by-step explanation:
Volume of the given figure = Volume of complete cuboid - volume of the cuboid having one face as ABCD
Volume of complete cuboid = Length × Width × Height
= 10 × 2 × 6
= 120 cm³
Volume of the part having one face as ABCD = AB × BF × BC
= 7 × 2 × (6 - 2)
= 56 cm³
Volume of the given figure in the picture = 120 - 56
= 64 cm³
Therefore, volume of the figure = 64 cm³
Slope of (-2,-1) and (2,-3)
SLOPE is the picture.
Point-Slope form is y+1=-1/2*(x+2)
The y=mx+b form is y=-1/2x-2
i hope its not confusing lol
How many 1/2 cup servings are in 6 cups of grapes?
Answer:
There are 12
Step-by-step explanation:
hope this helps.
What is -8x-9-5+9 plz help
Answer:
-8x - 5
Step-by-step explanation:
-8x - 9 - 5 + 9 = -8x - 5
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
It will take 48 hours of work to complete the garden.
The garden must be finished in 3 days.
Each gardener works for 8 hours per day.
How many gardeners are needed?
a population consists of the five measurement 2,3,6,5 and 7. what is the mean?
Answer:
4.6
Step-by-step explanation: