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Answer:
{∛2e^(iπ), ∛2·e^(iπ/3), ∛2·e^(-iπ/3)}
Step-by-step explanation:
[tex]\displaystyle \sqrt[3]{z}=(2e^{i\pi})^{\frac{1}{3}}=(2e^{i(2n+1)\pi})^{\frac{1}{3}}=\sqrt[3]{2}\cdot e^{i(2n+1)\pi/3}\quad\text{for $n=\{-1,0,1\}$}\\\\=\{\sqrt[3]{2}\cdot e^{-i\pi/3},\sqrt[3]{2}\cdot e^{i\pi/3},\sqrt[3]{2}\cdot e^{i\pi}\}[/tex]
__
Additional comment
z = -2. ∛z will be three points in the complex plane on a circle of radius ∛2 at angles ±π/3 and π radians (±60° and 180°). That is, the real cube root of -2 is -∛2.
3/8 of a scholarship fund was 1500 find the full amount of the scholarship fund
Answer:
The full scholarship fund will be 4000
Step-by-step explanation:
When doing these types of problems I like to do this.
1500 ÷ 3 = 500 (We do this because you want to find out what 1/8 is)
Since 500 is 1/8 of the part, all you have to do is multiply 500 by 8
500 × 8 = 4000
Write the range of the function given in the graph in interval notation.
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Answer:
(-4, 8]
Step-by-step explanation:
The vertical extent of the graph is ...
-4 < y ≤ 8
In interval notation, the range is (-4, 8].
__
Additional comment
There is a horizontal break (in the domain) at y=3, but no vertical break there. Hence the range is continuous through that region.
4(x-1) =2(x+9)
2 11
Show ur work
Answer:
[tex]thank \: you[/tex]
Answer: x = 11
Step-by-step explanation:
Given
4 (x - 1) = 2 (x + 9)
Expand parentheses and apply the distributive property
4x - 4 = 2x + 18
Subtract 2x on both sides
4x - 4 - 2x = 2x + 18 - 2x
2x - 4 = 18
Add 4 on both sides
2x - 4 + 4 = 18 + 4
2x = 22
Divide 2 on both sides
2x / 2 = 22 / 2
[tex]\boxed {x=11}[/tex]Hope this helps!! :)
Please let me know if you have any questions
Select all the equivalent ratios of 8:12... 7:21 20:30 5:15 2:3 16:24 and 1:3
8:12 is 2/3 and so is 16:24, 2:3, and 20:30
Step-by-step explanation:
For example (includes simplified problem solving),
8 ÷ 4 = 2
12 ÷ 4 =3
You would want to divide the numerator and denominator by the greatest common factor (GCF)
The ratio 8:12 can be reduced to its lowest terms by dividing both terms by the GCF
Therefore 8:12 is 2:3
Convert to decimal form/ 3.1 x 10^6
Answer:
0.000036 i think it the answer
If a stock valued at $40 per share increases by 20% and then decreases by 25% what is the resulting value of the stock?
Answer:
$36
Step-by-step explanation:
The stock value of $40 increased by 20%.
Increased value
= 20% of $40
= (20/100) × $40
= $800/100
= $8
New stock value
= Initial value + increased value
= $40 + $8
= $48
Then, the value decreased by 25%.
Decreased value
= 25% of $48
= (25/100) × $48
= $1200/100
= $12
New stock value
= Initial value + decreased value
= $48 - $12
= $36
So, the resulting stock value is $36.
Answer:
The resulting value of the stock is $36.
Step-by-step explanation:
First, we need to find out what 20% of $40 is.
40 x 0.20 = 8
40 + 2 = $48
Therefore, the stock value, when increased, is $48.
Now, we need to see what 25% of $48 is.
48 x 0.25 = 12
48 - 12 = $36
Therefore, the resulting value of the stock is $36.
Dean's balcony is 3 feet wide and 9 feet long. Dean paid $2.00 per square foot to have the balcony stained. How much did he pay?
plz hurry!
Answer:
$54.00
Step-by-step explanation:
area of balcony= length * width
area= 3*9
area= 27 sq.feet
cost of 1 sq.feet=$2.00
cost of 27 sq.feet= $2.00*27
cost of 27 sq.feet= $54.00
In Ted's class, students were asked to name their favorite sport. Football was the response of 1/8 of them. If 3 students said football, how many students are in Ted's class?
24 Students
If 1/8 of the total is 3, then the total is 3 multiplied by 8 = 24
Another way:
1/8= 12.5%
12..5%_____3
100%_____x
Cross multiplication
12.5x =3x100(300)
X=24
12.5% of 24 = 3
There are 24 students in Ted's class.
Given that;
In Ted's class, students were asked to name their favourite sport.
And, Football was the response of 1/8 of them.
Let's assume the total number of students in the class is represented by "x".
According to the information given, 1/8 of the class said football, which means (1/8) × x students named football.
We also know that 3 students said football.
So, we can set up the equation:
(1/8) × x = 3
To solve for x, we can multiply both sides of the equation by 8:
x = 3 × 8
x = 24
Therefore, there are 24 students in Ted's class.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
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If the length and width of rectangle A are each k times the length and width of rectangle B, which statement is true?
A.
The area of rectangle A is k3 times the area of rectangle B.
B.
The area of rectangle A is k times the area of rectangle B.
C.
The area of rectangle A is 2k times the area of rectangle B.
D.
The area of rectangle A is k2 times the area of rectangle B.
Answer:
B
Step-by-step explanation:
the area of triangle A is k times the area of triangle b
please help me this is for tomorrow and i have to sleep
Answer:
The answer is C
Step-by-step explanation:
The line graph shows the line going right so it greater than or >. The circle is not colored in so there is no line under the greater than sign > so answer is C
Find the common ratio for the following sequence.
1/2, -1/4, 1/8, -1/16
1. -2
2. 1/2
3. 2
4. -1/2
Answer:
-1/2
Step-by-step explanation:
(-1/4)/(1/2)=-1/2
Find the length of segment GH.
Answer:
it's 21-12 which is equal to 9
Check all that apply.
x² - 4=0
A. X = -4
U
B. X = 2
DC. X = -2
]
D. X = -1
O E. x = 4
O F. X = 1
A
Answer:
x=2 (option B)
Explanation
x²-4=0
x²=4
x=2
Determine whether (a) x = -1 or (b) x = 2 is a solution to this equation
X-8=-9
Answer: (a) x = -1
Step-by-step explanation:
Given
x - 8 = - 9
Add 8 on both sides to isolate x
x - 8 + 8 = - 9 + 8
[tex]\boxed{x=-1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
4/7x7/8. Can somebody help me with this I’m so confused
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{4}{7} *\frac{7}{8}[/tex]
Its really easy
Just multiply the numerators and the denominators
[tex]\frac{4*7}{7*8}[/tex]
[tex]\frac{28}{56}[/tex]
Simplify
[tex]\frac{1}{2}[/tex]
I hope this helps!
A point estimate is defined as:
a. a single value that is the best estimate of the upper range of a population parameter
b. a single value that is the best estimate of an unknown sample statistic
c. the average of the sample values
d. the average of the population values
e. a single value that is the best estimate of an unknown population parameter
pls describe:)
E
Step-by-step explanation:
cause it the best estimate of a value of an unknown parameter and E describes it best
3kg of rump steak costs 42 pounds adel buys 4kg of rump steak work out how much adel pays
Answer:
I think it's 56 pounds but I could be wrong
The human body is 65% oxygen, 18% carbon, and 10% hydrogen. The rest is other
elements. What percent is composed of other elements?
Answer:
7% of composed of other elements
Step-by-step explanation:
you have to add the percentages you have then fi d the missing amount
Answer:
7%
Step-by-step explanation:
65 + 18 + 10 = 83 + 10 = 93
100- 93 = 7
7%
Tom owns a landscaping business. He charges $40 for a yard cleanup, $50 to mow a lawn, and $75 to mulch a yard. On average, it takes Tom 25 minutes for a yard cleanup, 40 minutes to mow a lawn, and 2 hours to mulch a yard. Tom's clients are Mr. Hansen, Ms. Martinez, and Mrs. Johnson. . Mr. Hansen paid $125 for lawn services this week. . Tom spent more than an hour at Ms. Martinez' house this week. • Mrs. Johnson wrote Tom a check for $165 for the week. Tom made $405 from his three clients this week.
Answer:
Ms. Martinez = Tom received $115, $75 to mulch the yard and $40 for a yard cleanup.
Step-by-step explanation:
Tom made $405 for the week from his three clients
Mr. Hansen paid Tom $125
Mrs. Johnson paid Tom $165
405-165-125=115
Ms. Martinez paid Tom $115, which meant that he would have cleaned the yard ($40) and mulch the yard ($75)
The unit amount and time for each service offered by Tom can be represented as equations. The conclusion from the given parameters are:
Mr. Hansen paid $125 to mow a lawn and to mulch a yard.Mrs. Johnson paid $165 for the three servicesMs. Martinez paid $115 for a yard cleanup and to mulch a yard.Given that:
Cost
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Time
[tex]2\ hrs \to[/tex] Yard cleanup
[tex]40\ mins \to[/tex] Mow a lawn
[tex]2\ hrs \to[/tex] Mulching a yard
[tex]Total\ Earnings = \$405[/tex]
From the question, we understand that:
[tex]Mr.\ Hansen = \$125[/tex]
Recall that:
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Add up:
[tex]\$50 + \$75 = 125[/tex]
This means that Mr. Hansen paid $125 to mow a lawn and to mulch a yard.
[tex]Mrs.\ Johnson= \$165[/tex]
Recall that:
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$50 \to[/tex] Mowing a lawn
[tex]\$75 \to[/tex] Mulching a yard
Add up:
[tex]\$40 + \$50 + \$75 =\$165[/tex]
This means that Mrs. Johnson paid $165 for the three services
The amount paid by Ms. Martinez is calculated as follows:
[tex]Mr.\ Hansen + Mrs.\ Johnson + Ms.\ Martinez = Total\ Earnings[/tex]
Substitute known values
[tex]\$125 + \$165 + Ms.\ Martinez = \$405[/tex]
[tex]\$290 + Ms.\ Martinez = \$405[/tex]
Collect like terms
[tex]Ms.\ Martinez = \$405 - \$290[/tex]
[tex]Ms.\ Martinez = \$115[/tex]
This means that Ms. Martinez paid $115
Recall that:
[tex]\$40 \to[/tex] Yard cleanup
[tex]\$75 \to[/tex] Mulching a yard
Add up
[tex]\$40 +\$75 = \$115[/tex]
This means that Ms. Martinez paid $115 for a yard cleanup and to mulch a yard.
Read more about equations at:
https://brainly.com/question/2263981
If a dilation produces a congruent figure, then the scale factor was equal to
Answer:
the answer is 1
Step-by-step explanation:
because I said so
How do i solve
a·a²·a³
Answer:
a^6
Step-by-step explanation:
When the same numbers, the power can be just added together
For example
n x n x n =n^3 right?
Ya cuz when they don't put the power, it means to the power of 1
Therefore
a x a^2 x a^3
Just means
a ^ (1+2+3)
=a^6
Answer: a^6
Step-by-step explanation:
Term does not have an exponent so it’s automatically 1. So, a^1xa^2xa^3.
Multiply terms and add their exponents. So, a^1+2+3z
Add all exponents and you get 6. So, a^6
How does the graph change between point A and point B? On a coordinate plane, a graph increases from (0, 0) to point A and then continues to increase through B. The graph increases. The graph decreases. The graph remains constant. The graph increases, then decreases.
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Answer:
the graph increases
Step-by-step explanation:
If you read your problem statement, you find it tells you the answer:
"... point A and then continues to increase through B"
That is, between points A and B, ...
the graph increases
Answer:
It's option A hope this helps
there are 5 boys to every 6 girls. if there are 385 students how many are boys?
Struggling with this one really need help on this one!!
Hi
P(C) is first B then C
so P ( B) = 0.4
event C is 0.2 also P( C) = 0.4 x 0.2 = 0.08
The density d kg/m3 of a cube of mass m kilograms and side length x meters is given by the formula:  What is the value of d if m = 40 and x = 0.2?
Answer:
5000kg/m3
Step-by-step explanation:
Its easy to get the answer of a question from the unit.
So, it will be mass over metre cube.
Therefore, m=40kg x= (0. 2)^3 =0. 008m
40/0. 008 = 5000kg/m^3
A football team lost 9 yards on each of two consecutive plays. represent the total change as a product of sun numbers and then find the total loss.
∆RMQ ≅∆RMS by __________ congruence criterion
SAS
SSA
AAS
SSS
[tex] \huge \pink{ \underbrace { \overbrace { \ SAS}}}[/tex]
The measure of L in triangle LMN is 40°. The measure of M is 78°. What is the measure of N?
Answer: 62°
Step-by-step explanation:
Total angle in a triangle = 180°
40° + 78° + < N = 180°
118° + <N =180
<N = 180 -118
<N=62°
A Shape Question 5 options: 13 yd.² 314 yd.² 251 yd.² 503 yd.²
Answer:
What is question? surface area of upright part of cylinder is approx 314 sq yd. Surface area of entire cylinder is approx 471 sq yd, which isn't a choice.
Step-by-step explanation:
Assuming you're looking for surface area of cylinder (since answers are in sq units), you would need to find the area of the top and bottom circles, and the rectangle made by flattening out the upright part of cylinder.
Area of a circle is πr^2 so area of bottom is 25π and of both circles is 50π which equals approx 157.08 sq yd.
The rectangle formed from the upright part would have a width of 10 yds and a length equal to circumference of the circle. Since C = πd, C is approx 31.4yd. A = l x w so A = 31.4 x 10 or approx 314 sq yd.
Does the table represent a function? Why or why not?
Answer:
A.
Step-by-step explanation:
one x value cant go to two y values
Answer:
No....Not at all
You can select option A as the correct answer
Step-by-step explanation:
There can be two possibilities
x is an independent variable and y is a dependent variabley is an independent variable and x is a dependent variableFrom the definition of Function, We know, the value of a dependent variable corresponds to exactly one value of the independent variable
For possibility 1, For x = 5 and 9, y = 2 & for x = 5 and 7, y = 3
So this can't be a function
For possibility 2, For y = 3 and 2, x = 5
So this can't be a function
Hope you have understood this.....
ask me if you have any confusion.....
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