Which graph represents 2 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction) ) ?
Answer:
D on edge 2020
Step-by-step explanation:
the coordinate point is at (-1, 1.75)
The graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
The complete question is:
Which graph represents 2(cos(2π/3)+i sin(2π/3))?
The graphs are in the picture, please refer to the picture.
We have a complex number;
= 2(cos(2π/3)+i sin(2π/3))
= 2(cos120 + i sin120)
= 2(-0.5 + i 0.866)
= -1 + i 1.732
The point is (-1, 1.732)
Thus, the graph second representing the complex number 2(cos(2π/3)+i sin(2π/3)) on a coordinate plane option second is correct.
Learn more about the complex number here:
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A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which is the better buy?
Answer:
To find out which one is the better buy we have to find out what the unit price of each one is. To find a unit price you divide the ounce by the cost.
Step-by-step explanation:
5/90=18 cents
12/240=5 cents
the 12 ounce can is less per ounce so the 12 ounce can is the better buy.
Lae bought grapes for $1.50 per pound. A 2-column table has 4 rows. Column 1 is labeled Pounds x with entries 1, 2, 3, 4. Column 2 is labeled Dollars y with entries 1.50, 3.00, 4.50, 6.00. Create a graph of the relationship between the two quantities. Complete the statements. Use the numbers in the table to create . are graphed on the x-axis. are graphed on the y-axis. Plot the on the graph. Draw a that starts at the origin and connects all the points.
The graph of dollar and pound table of Lae is graphed below in which pounds are graphed on the x-axis and dollars are graphed on the y-axis.
How to plot a graph from table?To plot a graph from a table, make the ordered pair of values of coulom 1 and 2 of the table. Plot a line or curve with these ordered pair on the graph.
Lae bought grapes for $1.50 per pound. A 2-column table has 4 rows.
Column 1 is labeled Pounds x with entries 1, 2, 3, 4. Column 2 is labeled Dollars y with entries 1.50, 3.00, 4.50, 6.00.The created graph of the relationship between the two quantities is attached below. Now lets complete the statements.
Use the numbers in the table to create ordered pair. Pounds are graphed on the x-axis. Dollars are graphed on the y-axis. Plot the ordered pair on the graph. Draw a straight line that starts at the origin and connects all the points.Hence, the graph of dollar and pound table of Lae is graphed below in which pounds are graphed on the x-axis and dollars are graphed on the y-axis.
Learn more about plot a graph here;
https://brainly.com/question/26403321
Answer:
1. ordered pairs
2. pounds
3. dollars
4. ordered pairs
5. straight line
I apologize if im late!
Complete the statement
66.4mg = g
66,400
6.64
0.0664
6,640
Answer:
1 g = 1000 mg
⇒ 1 mg = 1/1000 g
1 mg = 0.001 g
5. Past experience shows that the standard deviation of the distances traveled by consumers to patronize Chinese restaurants is 2 km. How large a sample is needed to estimate the population mean distance traveled to within 0.4 km
Answer:
96
Step-by-step explanation:
Given that :
Standard deviation (s) = 2km
Error in estimation is within 0.4 km ; Error (E) = 0.4 km
Using the relation :
Sample size = ((Zα/2 * s) /E)^2
Using α = 0.05
The Zcritical at 0.05 = Z0.025 = 1.96
Sample size = ((1.96 * 2) / 0.4)^2
Sample size = (3.92 / 0.4)^2
Sample size = 9.8²
Sample size = 96.04
Required sample size = 96
Plz help me I’m stuck plz
Answer:
ok step bro are you stuck let me help
What is the value of 4.32 times 10?
Answer:
43.2
Step-by-step explanation:
4.32 x 10 = 43.2
Answer:
easy
4.320
Step-by-step explanation:
Answer the following questions based on the graphic given below.
The person casts a shadow ___ feet long.
The building casts a shadow ___ feet long.
The ratio of the person’s shadow to the building’s shadow is ___ to ___.
If the other side of the building is 10 feet tall, the person will be ___ feet tall.
Answer:
The person casts a shadow 3 feet long.
The building casts a shadow 15 feet long.
The ratio of the person’s shadow to the building’s shadow is 1 to 5.
If the other side of the building is 10 feet tall, the person will be 2 feet tall.
(I'm not sure what the last question meant by "the other side of the building". I assume it means the height of the building? 2 feet tall seems a bit short for a person though, but that would be correct since the building's height is 2/3 of the shadow's length, and 2/3 of the person's shadow length, 3, is 2 feet)
The building, the person and their shadows form a right triangle; The texts that complete the blanks are 3 feet long, 15 feet long, 1 to 5 and 2 feet tall.
What is a right triangle?A right triangle is a triangle that has an angle of 90 degrees
From the question, we have the following highlights:
Person's shadow = 3 feetBuilding's shadow = 15 feetSo, the ratio of the person’s shadow to the building’s shadow is
Ratio = 3 feet : 15 feet
Simplify
Ratio = 1 : 5
When the building's height is 10 feet, we have:
Person : 10 feet = 1 : 5
Multiply by 2 feet
Person : 10 feet = 2 feet : 10 feet
By comparison, we have:
Person = 2 feet
Hence, if the other side of the building is 10 feet tall, the person will be 2 feet tall.
Read more about right triangles at:
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What is the hardest subject in Middle School?
Answer:
in my middle school it was history
Step-by-step explanation:
I'm right in Clare eponymous and lemonade on the street they have to recipes to choose from Emma's recipe called for the juice of five lemons and two cups of water close recipe calls for the juice of 2 lemons and what were the first breast recipe taste more lemony
Answer:
1234567
Step-by-step explanation:
HELP, it’s question 17
Answer: A
Step-by-step explanation:
Answer:
1/3 of 60 = 20
2/5 x 3 = 1 1/5
A: 1 1/5 cans of paint
Step-by-step explanation:
YOU WILL GET 40 POINTS! AND BRAINLY FOR WHO EVER IS TE FIRST CORRECT ONE!!!!!!!!!!!!!!!!
Answer:
Ok so
Step-by-step explanation:
1st one is Infinte
2nd one is one soultion
3rd one is not
4th one is Infinte
5ht one is no
Hewo :>
:> 2(x-5) = 2(x-5) is infinitely
:> 5(x+4) = 5(x-6) is no solution
:> 5(x+4) = 3(x-6) is one solution
:> 4(x-2)=4(x+2) is infinitely
:> x+2(x-5)=3(x-2)-4 is no solution
Have a nice Kawaii day :>
A sample of 30 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were. The counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern.
These data can be graphically displayed as a bar graph. Which graph below correctly displays the data from the list and the table?
Answer:
False, the data set is not continuous. A histogram represents a continuous data set.
Is that an answer choice?
there if it is hope u pass good luck! :)
What is the slope of the line?
The graph shows the relationship between the volume
of a rectangular prism and the volume of a square
pyramid with an identical base and height.
-3
Prism vs. Pyramid
10
HM
9
O
Prism Volume (cubic units)
9
10
Answer:
the slope is 3
Step-by-step explanation:
PLEASE HELP ME WITH THIS!!!!!!
Answer:
D, 48 inches.
Step-by-step explanation:
The scale is 2 inches to 9 feet, so we need to divide the feet by 9. That equals 24 so then we multiply that by two which gives us 48 inches.
TELL ME ASAP oliver has 42 hockey cards in his collection,which is 7 times more than juan has.if juan has h hockey cards,what is the value of h?
Answer:
the value of the h is 6
Step-by-step explanation:
6 x 7 = 42
use the distributive property to find the answer to 21 x 4
Answer:
21(4)
Step-by-step explanation:
=84 that's all u have to do
Ever ran 3 miles.he stopped to take a break every 3-4 mile.
Answer:
Im pretty sure 3 times
Step-by-step explanation:
Can i get branliest and heart
Have a good day!
The regular price of a pair of sneakers is $80. They are on sale now for $50. What is the percent decrease in the price of sneakers?
Answer:
62.5% decrease
Step-by-step explanation:
SOMEONE PLEASE HELP!!!!!
Answer:
on the first triangle it is equal, 1.5 on the left of it is half of 3 on the right triangle, 5 on the left is half of 10 on the right triangle. so the answer is 8 becuase each side on the left is 2 times the side on the right
Step-by-step explanation:
hope this helps
A spherical balloon is being inflated with helium at a rate of 20π cm3/min. How fast is the balloon's radius changing when the radius is 1 cm?
Answer:
5 cm/min
Step-by-step explanation:
A spherical balloon is being inflated with helium at a rate of 20π cm³/min.
The volume of a sphere is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex] ...(1)
Differentiate equation (1) wrt t as follows :
[tex]\dfrac{dV}{dt}=3\times \dfrac{4}{3}\pi r^2\times \dfrac{dr}{dt}\\\\\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\ ....(1)[/tex]
Put dV/dt = 20π cm³/min and r = 1 cm, we can fin dr/dt
[tex]\dfrac{dV}{dt}=4\pi r^2\dfrac{dr}{dt}\\\\20\pi =4\pi (1)\times \dfrac{dr}{dt}\\\\\dfrac{dr}{dt}=5\ cm/min[/tex]
So, the radius of changing at the rate of 5 cm/min.
Using implicit differentiation, it is found that the radius is changing at a rate of 5 cm/min.
The volume of a sphere of radius r is given by:
[tex]V = \frac{4\pi r^3}{3}[/tex]
Applying implicit differentiation, the rate of change is of:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
A spherical balloon is being inflated with helium at a rate of 20π cm3/min, hence [tex]\frac{dV}{dt} = 20\pi[/tex]The radius is of 1 cm, hence [tex]r = 1[/tex].Then:
[tex]\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}[/tex]
[tex]20\pi = 4\pi (1)^2\frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt} = \frac{20}{4}[/tex]
[tex]\frac{dr}{dt} = 5[/tex]
The radius is changing at a rate of 5 cm/min.
A similar problem is given at https://brainly.com/question/14004755
Perimeter of a rectangle is 72 inches. The width is twice
the lenth. What is the width and length?
Answer:
24″ width, 12″ length. Let the length be X inches, then width is 2X inches, giving perimeter 2(X+2X)=6X inches, which is 72″. hence X, length =12″, and width 24″. The perimeter of a rectangle is 64 m.
Step-by-step explanation:
There ya go,
Answer:
36
Step-by-step explanation:
72 divided by four because its perimeter and you get 18 on each side since the width is double then you would do 18x2 and get 36.
Felix want to work out how much it costs him to use his tumble dryer.
The tumble dryer uses 1.9 units of electricity to dry one load of washing.
Felix dries four loads of washing each week.
He pays 12.8p for every unit of electricity he uses.
Work out the weekly cost, in pence, of using the tumble dryer.
Please help
multiple choice
picture included
will appreciate it if you help!
Answer:
D
Step-by-step explanation:
The quotient of 2 and n is 2/n, not n/2, and if it's at most 6 that means it can equal 6 but can't go above it, so it's less than or equal to six. Hope this helped!
Can someone solve this for me please?
1/3h = -2/3
Answer:
h = -2
Step-by-step explanation:
Just plug it into a calculator
Answer:
h=-2
Step-by-step explanation:
1/3h = -2/3
To find the h divide both sides by 1/3.
1/3h÷1/3 = -2/3÷1/3
h=-2
help asap
As x + 0, y →-00
The y-intercept of the graph is -1.
The graph has no relative minimum value.
the graph has a maximum value at x = 5.
The graph has a relative maximum value at x = -3.
As x + -00, y → -
Answer:
e
Step-by-step explanation:
What are the x and y intercept.
Answer:
x-intercept is 6 y-intercept is -3
Step-by-step explanation:
It's really simple to graph it especially if you have something that does it for you however when you graph it-it's pretty clear which ones it is so I suggest graphing it.
Raise the product of 36 and 9 to the power of the sum of 2 and 4.
Which of the following expressions matches the sentence above?
A.
(36 = 9(2+4)
B.
(36 x
9)(2+4)
O c.
(36 x 9)(2x4)
D.
(36 = 9)2 + 4
Answer:
B
Step-by-step explanation:
36 x 9 = 324
4+2=6
324^6
=324*324*324*324*324*324
=1156831381426176
Please help! this is algebra 2!
Asa's most recent credit card statement had a balance of $2,622.77. The minimum payment warning box indicates that it will take 12 years to pay off the card if
be makes the minimum payment of $28 per month. If he makes a monthly payment of $100, it will take 3 years to pay off the balance. What will be the percent
increase in total payments if Asa only pays the minimum rather than the $100 per month?
Answer:
12%
Step-by-step explanation:
In order to calculate this we first need to find the total that she would pay if she were to choose either of these options. We do this by multiplying the number of years it would take to pay off the loan by the 12 months in a year, and then we multiply this product by the monthly payment like so...
Minimum Payment:
(12 * 12) * 28 = $4,032
$100 a month payment:
(12* 3) * 100 = $3,600
Now that we have both we need to divide the minimum payment total by the $100 a month payment total to get the percentage increase in decimal form
$4,032 / $3,600 = 1.12
Now we subtract 1 and multiply by 100 to turn this decimal into a percentage
(1.12 - 1) * 100 = 12%
Finally, we can see that if Asa only pays the minimum then she would be paying a 12% increase as opposed to paying the $100 a month