Which expression is a cube root of -1+ i sqrt 3? (multiple choice)

Which Expression Is A Cube Root Of -1+ I Sqrt 3? (multiple Choice)

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

Find the magnitude   (-1)^2  + (sqrt3)^2 = m^2   m = 2

find the angle    arctan (sqrt3/-1) = 120 degrees

the cube root would then be

[tex]\sqrt[3]{2}[/tex](cos 40 + isin 40)


Related Questions

All of the following are equivalent to 1.75 except _____. 14/8, 1 75/100, 1 3/4, 4/7

Answers

4/7 is not equivalent to 1.75 because 4/7 is less than 1 and 1.75 is more than 1.

Mean = 5 13+14+15+19+19 ​ =

Answers

Answer:

14.167

Step-by-step explanation:

assuming you meant 5+13

Kendra mixes 2 liters of iced tea with 1 liter of lemonade. she pours an equal amount of the mixture into 6 jars. how many milliliters of the mixture did kendra pour into each jar? use the drop-down menu to complete the answer. please help

Answers

Answer:

Kendra pours 500 milliliters of the mixture into each jar.

Step-by-step explanation:

2 liters + 1 liters = 3 liters3 liters = 30 desiliters30 dl ÷ 6 = 5 dl5 desiliters = 500 milliliters

Answer:

500

Step-by-step explanation:

Kendra poured

500

milliliters into each jar.


Susan, Frank, and Dan sent a total of 83 text messages over their cell phones during the weekend. Susan sent 7 more messages than Frank. Dan sent 4 times
as many messages as Susan. How many messages did they each send?
Number of text messages Susan sent:

Number of text messages Frank sent:
Number of text messages Dan sent:

Answers

Step-by-step explanation:

Susan message=34.66

Frank message=27.6

Dan message=28

Solve for x in, 2(4x-3)-8=4+2x​

Answers

Answer:

x = 3

Step-by-step explanation:

1.

[tex]2\cdot \left(4x-3\right)-8=4+2x\\2\cdot 4x+2\cdot -3-8=4+2x\\8x-6-8=4+2x\\8x-14=4+2x[/tex]

2.

[tex]8x-14=4+2x\\8x-14-2x=4+2~x-2x\\8x-2x-14=4+2x-2x\\6x-14=4+2x-2x\\6x-14=2x-2x+4\\6x-14=4[/tex]

3.

[tex]6x-14=4\\6x-14+14=4+14\\6x=4+14\\6x=18[/tex]

4.

[tex]6x=18\\\frac{6x}{6}=\frac{18}{6}\\x=\frac{18}{6}\\\\[/tex]

[tex]x=\frac{3\cdot 6}{1\cdot 6}\\\\Factor\\x=3[/tex]

If y varies directly as x and x=3 when y=12, find x when y=3

Answers

Answer:

Answer:

y = 4x

Step-by-step explanation:

Given that x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 3 when y = 12

k =  =  = 4

y = 4x ← equation of variation

A state tourist guide provides information on summer vacation towns. Some of the towns and related information are
given in the table below.
Average
Number
Town
Beach
Access?
Temp
(°F)
Location
of Hotels
Spring Haven
73.2
12
yes
West

Answers

Based on the information given in the table, the discrete quantitative variable would be the number of hotels.

What is a discrete quantitative variable?

This refers to a variable in a distribution that can only take on a specific value that is countable.

This means that the number does not go on forever. Examples of these are the number of fingers and toes you have.

The discrete quantitative variable from the options would therefore be the number of hotels that there are.

________________________________________________________

The rest of the question is:

Which of the variables is a discrete quantitative variable?

A:average temperature

B:number of hotels

C:beach access

D:location

________________________________________________________

Find out more on discrete quantitative variables at https://brainly.com/question/18047619.

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which of the following is a true statement

Answers

Answer:

The correct answer is the second one.

Step-by-step explanation:

68/5 - 18/5 = 50/5

50/5 simplified is 10

Making the second equation true.

Hope this helps:) Goodluck!

help pleaseeeeeee. i don’t onowww

Answers

in an exponential expression, the rate of change is usually the parenthesized expression, namely on y = a(b)ˣ, the rate will be "b", so in this case the rate is just ∛24

[tex]\sqrt[3]{24} ~~ \begin{cases} 24=2\cdot 2\cdot 2\cdot 3\\ \qquad 2^3\cdot 3 \end{cases}\implies \sqrt[3]{2^3 \cdot 3}\implies 2\sqrt[3]{3}[/tex]

A 5kg sample of plutonium-239 has a half-life of 21,400 years by emitting a 5.157 mev (million or mega electron volts) alpha particles. assume that the rate of decay is constant, how long will it take for the sample to degrade to 4.5kg?

Answers

Using an exponential function, it is found that it will take 3,252 years for the sample to degrade to 4.5kg.

What is the exponential function for the amount of a substance?

It is given by:

[tex]A(t) = Pe^{-kt}[/tex]

In which:

P is the initial amount. k is the decay rate, as a decimal.

The half-life is of 21,400 years, hence, A(21400) = 0.5P, and this is used to find k.

[tex]A(t) = Pe^{-kt}[/tex]

[tex]0.5P = Pe^{-21400k}[/tex]

[tex]e^{-21400k} = 0.5[/tex]

[tex]\ln{e^{-21400k}} = \ln{0.5}[/tex]

[tex]-21400k = \ln{0.5}[/tex]

[tex]k = -\frac{\ln{0.5}}{21400}}[/tex]

k = -0.00003239005

Hence, considering the initial mass is of P = 5 kg, the amount after t years is given by:

[tex]A(t) = 5e^{-0.00003239005t}[/tex]

The amount will be of 4.5 kg at t for which A(t) = 4.5, hence:

[tex]4.5 = 5e^{-0.00003239005t}[/tex]

[tex]e^{-0.00003239005t} = 0.9[/tex]

[tex]\ln{e^{-0.00003239005t}} = \ln{0.9}[/tex]

[tex]-0.00003239005t = \ln{0.9}[/tex]

[tex]t = -\frac{\ln{0.9}}{0.00003239005}[/tex]

t = 3252.

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Which of the following points is a possible solution to the system? y ≤ 3x − 1 y ≥ -x − 1

Answers

Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the inequalities y ≤ 3x − 1 and y ≥ -x − 1

Plotting the inequalities y ≤ 3x − 1 and y ≥ -x − 1 using the geogebra graphing tool, a possible solution to the system is (3, 1)

Find out more on equation at: https://brainly.com/question/2972832

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The Allied Taxi Company charges $2. 50 to pick up a passenger and then adds $1. 95 per mile. Isaac was charged $27. 46 to go from one city to another. If x represents the number of miles driven by the taxi, which linear equation can be used to solve this problem, and how many miles did Isaac travel, rounded to the nearest tenth? 1. 95x 2. 50 = 27. 46; Isaac traveled 15. 4 miles. 1. 95x 2. 50 = 27. 46; Isaac traveled 12. 8 miles. 2. 50x 1. 95 = 27. 46; Isaac traveled 11. 8 miles. 2. 50x 1. 95 = 27. 46; Isaac traveled 10. 2 miles.

Answers

Answer:

see the attachment.

i hope this can help you

The fulcrum of a lever is the point on which it turns. based on the function, how many pounds of force are needed to lift the rock if the distance from the fulcrum is 6 feet? pounds of force

Answers

The amount of force that is required to lift the rock if the distance from the fulcrum is 6 feet is 10 lb of force.

Calculations and Parameters:

Based on the given graph, we can see the curve passing through the point (1.5,40), (2,30), (2.5,24), (3,20), and (4,15).

These points satisfy by the equation

y= 60/x

and,

x is the distance in feet from the fulcrum y is needed force in pounds.

If we input the value of x into the equation,

y= 60/6

= 10 lbs of force.

Read more about fulcrum here:

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Answer:

Keep it simple: answer 10

Step-by-step explanation:

PLease Help me for a brainlist its a math problem please see image attached thanks

Answers

Answer:

b

Step-by-step explanation:

the answer is b if values are plugged in to function

Answer:

y = -(x - 2)² - 4

Step-by-step explanation:

The vertex of this function is (2, -4), which is given in the table

The vertex form an equation is given as :

y = a(x - h)² + kSubstitute the vertexy = a(x - 2)² - 4

Substitute any point in the table to find a :

-8 = a(0 - 2)² - 44a = -4a = -1

Hence, the final equation :

y = -(x - 2)² - 4Option 2

(3)(6)(-2)

Please Help

Answers

=> 18 x -2 = -36

hope it helps.

Answer:

-36

Step-by-step explanation:

(3)×(6)×(-2) =

18 × (-2) =

(remember plus per minus = minus)

-36

The side of a square is 3 cm long.

What is the length of the diagonal of the square? Give a reason for your answer.

INSTRUCTION: Round your answer to two decimal places.

Answers

Answer:

approximately 4.23 cm

c. (-3) ³:-(3)³
and this answer??
cause it's abit difficult ​

Answers

Answer:

-54

Step-by-step explanation:

first of all you want to simplify them

Which inequality is equivalent to −y≥18?

Answers

                    [tex]\rule{199}{1}[/tex]

Given question:-

Which inequality is equivalent to -y≥18?

Answer and how to solve:-

Divide by -1 on both sides to fully simplify the inequality, which is what we're asked to do.

So we get

y≤-18

Notice that the inequality sign changed.

The inequality sign changes when we divide both sides of an inequality by a negative number.

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

Help Find the unit rate.

4,928 rooms on 112 floors =
rooms per floor

Answers

4928 rooms / 112 floors

2464 rooms / 56 floors

---Really, all we are doing here is simplifying a fraction until we have a 1 in the denominator

44 rooms / 1 floor

Hope this helps!

Please answer ! Polynomials and Factoring problems. Thank you!

Answers

Answer: The answer to your first question is b^2+2b-8. You second answer is y^2-4y+3.

Step-by-step explanation: Now, these questions deal with the FOIL method commonly taught in schools. The FOIL method is to turn factored binomials back into quadratics. Let's first go over what FOIL means.
F - First. So you multiply the first terms in each set of parenthesis, so b times b and y times y make b squared and y squared.
O - Outer. Multiply the two outer terms together, so b times -2 and y times -3. Remeber to pay attention to your signs when you multiply during these probelms!
I- Inner. Multiply the two inner terms together. so 4 times b and -1 times y. Again, make sure the signs are incorporated!
L - Last. Multiply the last terms in the binomials. So 4 times -2 and -1 times -3.

Now that we have our numbers, we have expanded quadratics that look like these:
b^2 -2b+4b-8 and y^2-3y-y+3

Now combine the two middle terms into +2b and -4y, and your answers are b^2+2b-8 and y^2-4y+3.

I need help finding the slope and what m =

Answers

Answer:

4/3

Step-by-step explanation:

slope = rise/run =  (y1-y2)/(x1-x2) =   4 / 3

laura will wear a pair of mittens, a scarf, and a jacket as she leaves the house. she has two pairs of mittens to choose from, six scarves choose from, and three jackets to choose from. how many different combinations laura wear. I WILL GIVE BRAINLESTTTTRJFCFIIEJFJEFLJ

Answers

The number of ways Laura will wear a pair of mittens, a scarf, and a jacket will be 36.

What are permutation and combination?

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Laura will wear a pair of mittens, a scarf, and a jacket as she leaves the house.

She has two pairs of mittens to choose from, six scarves chosen from, and three jackets to choose from.

Then the number of ways will be

Number of ways = ²C₁ x ⁶C₁ x ³C₁

Number of ways = 2 x 6 x 3

Number of ways = 36

More about the permutation and the combination link is given below.

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Please belpppp don’t understand

Answers

Answer:

[tex]\huge 3w^2\sqrt[4]{2\:w^{3}}[/tex]

Step-by-step explanation:

[tex]\huge\sqrt[4]{162\:w^{11}}[/tex]

[tex]=\huge\sqrt[4]{81*2\:w^{8}*w^{3}}[/tex]

[tex]=\huge\sqrt[4]{3^4*2\:(w^{2})^4*w^{3}}[/tex]

[tex]=\huge 3w^2\sqrt[4]{2\:w^{3}}[/tex] (Elements with power 4 within the radical will come out and the rest will be within the radical sign)

11.
30 cm
30 cm
26 cm
Find the area

Answers

Answer:

30 x 30 x 26 = 23,400 area= 23,400

Step-by-step explanation: hope it helps

Answer:

i think its 780 cm^2 IF THE 11 IS NOT APART OF THE PROBLEM

Step-by-step explanation:

sorry caps

19 more than the number c is 4

Answers

              - - - - - - - - - - - - - - - - - - - - - - - - - -- -

[tex]\diamond\large\textsf{\textbf{\underline{Question:-}}}[/tex]

          ✥ 19 more than the number c is 4.

[tex]\diamond[/tex] [tex]\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

◆ First, the word "more" indicates that we add.

Here we have 19 more than c, so we add c plus 19, which looks as follows:-

 ✳︎ [tex]\sf{19+c}[/tex]

This expression is equal to 4:-

✳︎[tex]\sf{19+c=4}[/tex]

If you also need to find c, subtract 19 on both sides:-

c=-15

So we conclude that the value of c is -15.

Good luck with your studies.

         - -- - - - - - - - - - - - - - - - - - - - - - - - - -

Answer:

19 + c = 4

Step-by-step explanation:

Given:

19 more than the number c is 4

We know that:

The word "more" means addition between two numbers. The word "is" means two terms or two expressions are equivalent.

Therefore, we can make the following replacements:

"19" ⇒ "19""more" ⇒ "+""c" ⇒ "c""is" ⇒ "=""4" ⇒ "4"

When we replace the bolded text in the statement, we get;

⇒ 19 more than the number c is 4

⇒ 19 more than the number c is 4                       ["19" ⇒ "19"]

⇒ 19 + than the number c is 4                            ["more" ⇒ "+"]

⇒ 19 + c is 4                                             ["than the number c" ⇒ "c"]

⇒ 19 + c = 4                                                            ["is" ⇒ "="]

⇒ 19 + c = 4                                                            ["4" ⇒ "4"]

Thus, the expression/equation that represents the statement is [tex]\small\text{19 + c = 4.}[/tex]

A triangle has sides with lengths of 5 meters, 6 meters, and 8 meters. Is it a right triangle?

Answers

Answer:

No, it is not a right triangle

Step-by-step explanation:

A scalene right triangle comprised of integers must have the same ration as 5:4:3, and 5:6:8 is not it.

GIVING BRAINLIEST!!!!!

Answers

Answer:

135

Step-by-step explanation:

All triangles =180 degrees
Angle ADC is 45
This means that angle ACD is also 45
ACD and ACB are supplementary which means they add to 180 as well
180 - 45 = 135

In which order should the sentences appear? 1 – 2 – 4 – 3 2 – 1 – 4 – 3 3 – 4 – 1 – 2 4 – 2 – 1 – 3

Answers

Based on the excerpt given on Paco's evaluation of Dan DeLuca's argument, the correct order is 3 - 4 - 1 - 2.

Which order for the article on Paco's evaluation is correct?

3 is the best sentence to start because it introduces the direction that DeLuca is taking in his argument. 4 is next because it then says what DeLuca's claims are.

1 is the third sentence because it expands on DeLuca's arguments and then 2 is the last sentence as it contains Paco's evaluation of the argument.

Find out more on ordering sentences at https://brainly.com/question/24186239.

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Answer:

its C: 3 – 4 – 1 – 2

REALLY REALLY NEED HELP!!!! MATH GENIUSES OUT THERE!!!! ANYONE!!!!!! FOR EDGE!!!!!!

Answers

Answer:

on the attached pdf

Step-by-step explanation:

Natalia makes $17.82 per hour, and is expecting to receive a 10% increase in pay. What can Natalia expect her future hourly rate to be?

Answers

help is on the way! :D

Im sorry if im wrong but i could do 17.82x10= 178.20

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