1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sveta_85 [38]
3 years ago
8

Solve z^3=27 it's a complex number ​

Mathematics
2 answers:
34kurt3 years ago
8 0

Answer:

-3i^2

Step-by-step explanation:

(-3i^2) ^3=-(3*(-1)) ^3=-(-3)^3=-(-27)=27

MrMuchimi3 years ago
4 0

Answer:

z³=27

³√z³=³√27

z=3

Step-by-step explanation:

z³=27

³√z³=³√27

z=3

You might be interested in
Can you solve for ×/4+7=5
nataly862011 [7]
X/4 is the same as 1/4x, so you have the equation 1/4x + 7 = 5. subtract 7 to both sides to get the equation 1/4x = -2. then you multiply by four (which is the same as dividing by 1/4) to get x = -8
4 0
3 years ago
The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). Find the value of x.
ElenaW [278]

The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415

Step-by-step explanation:

Given that,

The measure of angle DBE   (0.1x - 22)

The measure of angle CBE (0.3x - 54)

<u>Step 1</u>

As per the  Angle Addition Postulate,

m∠DBE+m∠CBE=m∠DBC

<u> Step 2</u>

Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.

Hence,

(0.1x-22)+(0.3x-54)= 90

<u>Step 3</u>

Lets solve the equation  for x

We know that 0.4x-76= 90

0.4x= 166

x=166/0.4

x=415

<u>Step 4</u>

<u>Answer :</u> The value of x is 415

8 0
3 years ago
A container has peppermint gum and spearmint gum. There are 18 pieces of peppermint gum in the container and the ratio of pepper
pishuonlain [190]

Answer:

there are 27 pieces of spearmint gum.... hope this helps :)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How many hundreds in 148305
Wittaler [7]

148305:100=\dfrac{148305}{100}=1483.05\\\\Answer:\ In\ 148305\ is\ 1483\ hundreds

6 0
3 years ago
Read 2 more answers
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorab
Katyanochek1 [597]

Answer:

(a) Customer will not purchase the light bulbs at significance level of 0.05

(b) Customer will purchase the light bulbs at significance level of 0.01 .

Step-by-step explanation:

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected,  and the following information obtained:

Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.

Let Null hypothesis, H_0 : \mu = 750 {means that the true average lifetime is same as what is advertised}

Alternate Hypothesis, H_1 : \mu < 750 {means that the true average lifetime is smaller than what is advertised}

Now, the test statistics is given by;

       T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 738.44 hours

               s  = sample standard deviation = 38.2 hours

               n = sample size = 50

So, test statistics = \frac{738.44-750}{\frac{38.2}{\sqrt{50} } } ~ t_4_9

                            = -2.14

(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.

(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.

6 0
3 years ago
Other questions:
  • -3 - -15 + -8 - 3 x -17
    15·1 answer
  • A leasing agent makes $23 an hour for the first 10 hours he works during a
    5·1 answer
  • Show work for this scientific notation
    12·1 answer
  • Which ratio Best describes the relationship between the map distance in inches compared to the actual distance in miles?
    12·1 answer
  • You are purchasing 2 shirts at $10.00 (each) and 1 pair of jeans at $35.00 (each). You have a coupon for 10% off. How much is th
    8·2 answers
  • What is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7.2 cm?
    7·2 answers
  • What is a placebo and why is it important in an experiment to test the effectiveness of a drug
    7·1 answer
  • How are the concepts of markup and markdown related to the percent equation?
    8·2 answers
  • In a test containing 10 questions, (+5) marks are awarded for every correct answer, (-1) mark for every incorrect answer and 0 f
    8·1 answer
  • The circle graph shows how Justin's family budgets a total of $6300 for the month.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!