x3-27i=0 solve for the root equation

Answers

Answer 1
Okay this should be simple...I remeber learning about this in class I just hope I did it right.

Add 27i to both sides

x * 3 - 27i + 27i = 0 + 27i

Then simplify

The form x * 3 = 27i

Divide both sides by 3

x * 3       27i
____ =  ____
  3           3

And now simplify to get your final answer

x = 9i
Answer 2
[tex]\bf x^3-27i\qquad \boxed{27=3^3}\qquad x^3=27i\implies x=\sqrt[3]{27i}\implies x=\sqrt[3]{3^3i} \\\\\\ x=3\sqrt[3]{i}[/tex]

Related Questions

0.6 is 10 times as much as what

Answers

0.6 is 10 times as much as 0.06

0.6 is 10 times as much as 0.06.

What is multiplication?

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

Let's say 0.6 is 10 times as much as x

Then,

0.6 = 10x

x = 0.6/10 = 0.06

Hence "0.6 is 10 times as much as 0.06".

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Output all of the numbers and their squares between 1 and 10 using a do while loop

Answers

Write a program that uses while loops to perform the following steps: a. ... d. Output all the numbers and their squares between 1 and 10. e.

can you do it on paper please? that would be helpful.
you could type it in though.
that's ok too.

Answers

-3x + 4 < 12
-3x < 12 - 4
-3x < 8
-3x/-3 < 12/-3
x > -4 the inequality sign is flipped when divided by a negative.

If Sandy has 288 tiles and wants one-half of the tiles divided evenly into three different colors (green, yellow, burgundy). How many green tiles does she need?

Answers

To divide 1/2 of a value by 3 is the same thing as taking 1/2 * 1/3 = 1/6 of that value.

In this case, 1/6 of 288 tiles - or 288 ÷ 6 - gives us a result of 48 green tiles.

The required number of green tiles is 48

Given that,
Sandy has 288 tiles and wants one-half of the tiles divided evenly into three different colors (green, yellow, burgundy), How many green tiles she need is to be determined.


What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
total number of tiles = 288
half of the tiles = 288 / 2 = 144
Now this half number of tiles is divided into 3 equal parts, in (green, yellow, burgundy)
= 144 / 3
= 48
So, she needs 48 green tiles.

Thus the required number of green tiles is 48.

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A student must take one physics, one chemistry, and one mathematics course during their junior year of high school. There are three courses to choose from for physics (P1, P2, P3), two courses to choose from for chemistry (C1, C2), and two courses to choose from for mathematics (M1, M2). How many possible combinations are there for the three physics, chemistry, and mathematics courses a student could select?

Answers

I'll write out one list of possible combinations as an example. Suppose we're looking at all paths following a choice of P1. Then we have:
P1 C1 M1
P1 C1 M2
P1 C2 M1
P1 C2 M2

So there are 4 possible choices with P1. Since there are 3 choices of P, there are 3*4 total combinations, or 12. In general, you can multiply the number of possibilities together to see how many total combinations can occur, I just wanted to illustrate why that works.

how can 32 ounces: 8 pints be simplified

Answers

32 oz : 8 pints can be simpified by dividing 8 from both sides

answer

4 oz: 1 pint (which is untrue technically, because technically it's 16 oz in 1 pint.. but it's the answer)

hope this helps

Your answer A chef buys 5.46 pounds of ground turkey to make some casseroles. Each casserole requires 0.13 pound of turkey. How many casseroles can the chef make?

Answers

All you need to do is divide 5.46 by 0.13 to get 42
42 casseroles because literally all you have to do is divide 5.46 by 0.13 because you want to find out how many casseroles he can make, therefore you would need to use division. Really simple. 

Find the critical numbers of the function.
g(y) = y − 3 / y2 − 3y + 9

Answers

y=-y=-{\sqrt{2}}{2},\:y=\frac{\sqrt{2}}{2}
Final answer:

To find the critical numbers of the function g(y) = (y - 3) / (y^2 - 3y + 9), we need to find the values of y for which the derivative of g(y) is equal to zero or does not exist. By following the steps above, we find that the function has no critical numbers.

Explanation:

To find the critical numbers of the function g(y) = (y - 3) / (y^2 - 3y + 9), we need to find the values of y for which the derivative of g(y) is equal to zero or does not exist.

First, find the derivative of g(y) using the quotient rule:  g'(y) = (1*(y^2 - 3y + 9) - (y - 3)*(2y - 3)) / (y^2 - 3y + 9)^2. Simplify g'(y) by expanding and collecting like terms to get g'(y) = 6y^2 - 24y + 24 / (y^2 - 3y + 9)^2. To find the critical numbers, set g'(y) equal to zero and solve for y. In this case, there are no real solutions. Next, check for values of y where g'(y) does not exist. In this case, there are no such values.

Therefore, the function g(y) = (y - 3) / (y^2 - 3y + 9) has no critical numbers.

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Joan invests $4000 in an account that earns 3% simple interest. How much will Joan have in the account in 10 years?

Answers

9000 i think but i am not sure

If Joan invests $4000 in an account that earns 3% simple interest, she will have $5,375.67 in the account after ten years.

What does use a multiplicative comparison to explain its meaning mean?

Answers

Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

I hope this helps you.

List all integers between −100 and 100 that are congruent to −1 modulo 25.

Answers

"-1 modulo 25" is "1 less than a precise multiple of 25". 
So what are the exact or precise multiples of 25 in the appropriate interval? 
It is -75, -50, -25, 0, 25, 50, 75, and 100. 
Now just subtract 1 from each of them.

So the answers are -76, -51, -26, -1, 24, 49, 74, and 99.

the leukemia and lymphoma society sponsors a 5k race to raise money it receives 55 per race and 10,000 in donations but it must spend 15 per race entry to cover the cost of the race write and solve an inequality

Answers

I think the inequality is 55,000>=40x+5,000 while x<=1,250 i have the same test
Hmm i think its this 55,000 >= 40x+5,000 because it needs atleast 55,000
Which explains 55,000>= second receives 55 per race but spend 15 race in other terms 55x-15x= 40 x
So 55,000>=40x third 10,000 in donations sponsers a 5,000 race 10,000-5,000=5,000 so 55,000>=40x+5,000
Also to find x 55,000>=40x+5,000 subtract 5,000
50,000>=40x now divide by 40
50,000/40>=x
X<= 1,250

Find the approximate side length of a square game board with an area of 164 in2

Answers

Squares have the same length and width.
Area of a rectangle/square is length X width
A=LW
164 = LW
Now we know L and W are the same because its a square.
13X13 is 169
12X12 is 144
It appears the lengths are just less than 13.

The map of a biking trail is drawn on a coordinate grid.

The trail starts at P(−2, 1) and goes to Q(6, 1).
It goes from Q to R(6, −3) and then to S(9, −3).

What is the total length (in units) of the biking trail?

Answers

Is 23 unit lendgth fo bike tracks

Ralph sold brownies for ​$0.66 a piece in order to earn money to buy baseball cards. If the cards cost ​$0.90 per​ pack, and if Ralph had no money left over after buying​ them, what is the least number of brownies he must have​ sold?

Answers

The least amount of brownies that he has to sell would be 15 brownies in order to have no money left after buying the cards.


Hope this Helps

given b(x)=|x+4| what is b(-10)

Answers

[tex]b(x)=|x+4|\\ b(-10)=|-10+4|=|-6|=6.[/tex]

Answer:

Given that b(x)=|x+4| value of b(-10) is:

6

Step-by-step explanation:

|We are given that:

b(x)=|x+4|

We have to find the value of b(-10)

Putting x= -10 in above equation, we get

b(-10)=|-10+4|

       =|-6|

      =6

Hence, given that b(x)=|x+4| value of b(-10) is:

6

Please help me!
A pair of shoes is on sale for $29.95. What will the sales tax on the shoes be if the sales tax rate is
7 1/2%?
$1.99
$2.10
$2.25
$2.99

Answers

You need to find 7 1/2% of $29.95.
To do that, just multiply the percent by the number.

7 1/2% * $29.95 =

= 7.5% * $29.95

= 0.075 * $29.95

= $2.24625

The answer is $2.25

Option C)The sales tax will be $2.25.

Convert the sales tax rate from a percentage to a decimal,
7.5% becomes 0.075.

Multiply the decimal by the total cost of the shoes,

0.075 × 29.95
= 2.24625.

$2.25.

Therefore, the sales tax on the shoes will be $2.25,Option C

The expression 62.4d - 210 gives the number of Indian rupees you receive when you exchange $d at the local currency exchange.
How many Indian rupees do you receive when you exchange $13?

Answers

62.4d -210
62.4 (13) - 210
811.2 - 210
601.2 rupees for $13

I need help with this problem

Divide mixed numbers
Write the mixed number(s) as_(blank)_fractions

Write the_(blank)_ of the divisor

Multiply as with _(blank)_.Simplify

Answers

A. improper fraction

What is the property tax of 1.6% on property assessed at $85,000?

1,360
5,312
13,600
53,125

Answers

85000 X 0.016 = $1360

Answer:

$1,360.

Step-by-step explanation:

We are asked to find the amount of property tax at a rate of 1.6% assessed at $85,000.

Let us find 1.6% of 85,000 to find the amount of property tax.

[tex]\text{Amount of property tax}=\frac{1.6}{100}\times 85,000[/tex]

[tex]\text{Amount of property tax}=0.016\times 85,000[/tex]

[tex]\text{Amount of property tax}=1,360[/tex]

Therefore, the property tax will be $1,360 and 1st option is the correct choice.

A restaurent sold 350 less hotdogs than hamburgers. Altogether, the restaurant sold 700 hotdogs and hamburgers. How many of each did they sell?

Answers

Let x=number of hamburgers, so number of hotdogs is x-350.
Altogether x+x-350=700, 2x=1050, x=525, so the number of hamburgers is 525 and the number of hotdogs is 175.
Let d=# of hot dogs, and b=# of burgers.  d+b=700, and d = b-350.

d + b = 700 becomes b-350 + b = 700.   => 2b= 1050; b = 525.

Then d=525-350 = 175.

They sell 175 hot dogs and 525 burgers.

Do 175 and 525 add up to 700?   yes. 

After a substance abuse counselor has acquired 20,00 hours of counseling experience and has remained in good standing with their board certification, they are considered professionally co.petent and are non LONGER required to seek ongoing education?? True or false

Answers

That statement is false.
First reason is the knowledge of new type of substances will continue to appear so the substance abuse counselor will always be required to update his/her knowledge about the substance. Treatment for previosuly known substance also keep improving in inefficiency.
Second, the required hours to get the certification is 2,240 hours not 2,000.

HELP PLEASE URGENT NEED TO PASS THIS CLASS

Answers

Hello!

Answer is y = 1/3x - 1
b = -1
m = rise/run = 1/4

y = 1/4 x + 1

Sixteen more than a number is 48 which equation models this sentence

A 16n = r8
B n - 16 = 48
C n + 16 = 48
D n ➗ 16 =48

Answers

The word 'more' means addition.
So C. n + 16 = 48

A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange. What is the total weight in grams for the pineapple and the orange?

Answers

The pineapple weighs 870 grams and the orange weighs about 124 grams.

4 gallons of gas cost 16.80. what is the price per gallon?

Answers

$4.20
Because $16.80 is the price of 4 gallons and if you want to find out the price for 1 gallon you divide 16.8 by 4

find the quotient for 4 over 5389

Answers

5389/4
if you want the answer it would be 1347.25
I hoped I helped CX

A building has 4 offices. There are 4 people in each of the offices. Each person has 4 chairs. How many chairs are in the building? Enter your answer in the box.

Answers

You'd just have to cube the 4 
4x4x4=64
4 x 4 x 4 = your answer

= 16 x 4

= 64

64 is your answer

hope this helps

A different species of cockroach has weights that follow a normal distribution with a mean of 50 grams. after measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams. based on this report,what is the approximate standard deviation of the weights for this species of cockroaches?

Answers

Final answer:

To find the standard deviation of the weights of a species of cockroach when it is known that 14% weigh more than 55 grams, you can use the Empirical Rule of a normal distribution and solve using the given mean and the equivalent standard deviation for the 14% threshold. The estimated standard deviation in this case is around 4.63 grams.

Explanation:

Your question is about using statistical information about a normally distributed population - in this case, the weights of a certain species of cockroach - to estimate the standard deviation of that population.

One thing we know about normally distributed data is that approximately 68% of all measurements fall within one standard deviation (either above or below) of the mean, about 95% fall within two standard deviations, and about 99.7% fall within three standard deviations. This is often referred to as the Empirical Rule or 68-95-99.7 rule.

According to the information provided, 14% of the cockroaches in the studied population weigh more than 55 grams. On a standard normal distribution, 14% represents approximately 1.08 standard deviations above the mean (you can find this value on a standard normal distribution table). Since we know that the mean weight is 50 grams, we can set up the following equation to solve for the standard deviation:

50 (mean weight) + 1.08 (standard deviation equivalents for 14%) * σ (standard deviation) = 55

Solving for σ we find that the standard deviation σ for the population of these cockroaches is approximately 4.63 grams.

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There are 20 sixth grader and 25 seventh grader in the junior scholar club. For their first community service project, the Scholar Club president wants to organize the club members into equal-size groups. Each Group will have only sixth graders or only seventh graders.
A) How many students will be in each group if each group has the greatest possible number of members?
B) If each group has the greatest possible number of club members, how many groups of sixth graders and how many groups of seventh graders will there be? Please show the work and answers.

Answers

When You Mutiply 25 and 20, it equals 500

Answer: a) Each group has 5 members as its greatest possible.

b) There are 4 groups of sixth graders and 5 groups of seventh graders.

Step-by-step explanation:

Since we have given that

Number of sixth grader = 20

Number of seventh grader = 25

We need to find the greatest possible number of members in each group will contain:

For greatest possible number we will find "Highest common factor (H. C.F) of 20 and 25 = 5

a) Each group has 5 members as its greatest possible.

b) Number of groups of sixth graders would be

[tex]\dfrac{20}{5}=4[/tex]

Number of groups of seventh graders would be

[tex]\dfrac{25}{5}=5[/tex]

Hence, there are 4 groups of sixth graders and 5 groups of seventh graders.

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