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
8090 [49]
4 years ago
8

What is the standard form of (1+2√-3)/(1+√-3)

Mathematics
2 answers:
miv72 [106K]4 years ago
7 0
1.75+0.43301270i
hope this helped and let me know if i was right plz

ExtremeBDS [4]4 years ago
3 0

Answer:

\frac{7}{4} +\frac{3}{4} i

Step-by-step explanation:

(1+2\sqrt{-3} )/(1+\sqrt{-3})

To remove the negative sign from square root use 'i'

square root (-1) is 'i'

\frac{1+2\sqrt{3}i}{1+\sqrt{3}i}

Multiply top and bottom by conjugate of (1+\sqrt{3}i)

Conjugate of (1+\sqrt{3}i) is (1-\sqrt{3}i)

Multiply it at the top and bottom

\frac{1+2\sqrt{3}i}{1+\sqrt{3}i} \cdot \frac{1-\sqrt{3}i}{1-\sqrt{3}i}

Multiply numerator and denominator using FOIL method

\frac{1-\sqrt{3}i+2\sqrt{3}i-3i^2}{1+3}

the value of i^2 is -1

\frac{1+\sqrt{3}i-6(-1)}{4}

\frac{1+\sqrt{3}i+6}{4}

\frac{7+\sqrt{3}i}{4}

\frac{7}{4} +\frac{3}{4} i

You might be interested in
Suppose the mean height for adult males in the U.S. is about 70 inches and the standard deviation is about 3 inches. Assume men’
nlexa [21]

Question options :

a. They should be between 64 and 76 inches tall.

b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.

c. They should be at or below the 95th percentile, which is 74.92 inches.

d. None of the above.

Answer: a. They should be between 64 and 76 inches tall.

Step-by-step explanation:

Given the following :

Assume men's height follow a normal curve ; and :

Mean height = 70 inches

Standard deviation= 3 inches

According to the empirical rule ;

Assuming a normal distribution with x being random variables ;

About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.

Using the empirical rule :

95% will fall between + or - 2 standard deviation of the mean.

Lower limit = - 2(3) = - 6

Upper limit = 2(3) = 6

(-6+mean) and (+6+ mean)

(-6 + 70) and (6+70)

64 and 76

8 0
4 years ago
Help: (picture below)
Aleks04 [339]

The length of a pendulum that makes one full swing in 1.9 s is about 2.926 which is about 3ft when rounded to the nearest foot

7 0
4 years ago
Food bill before the tax: $80 sales tax: 7.3% tip: 18%
bogdanovich [222]
The food bill would be $100.24
4 0
3 years ago
SOMEBODY PLEASE HELP
Ber [7]
X^2+7-4 that’s the answer don’t simplify it
6 0
3 years ago
Haydin chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that
Elena L [17]

<em>Question:</em>

<em>Haydin chooses a jersey at random and then replaces it. He then selects a second jersey at random. What is the probability that Haydin selects a striped jersey both times. 2 are striped,5 are colored and 3 are white.</em>

Answer:

Probability = 0.04

Step-by-step explanation:

Given

Striped = 2

Colored = 5

White = 3

Required

Determine the probability that both selections are stripped

This is calculated as:

Probability = P(Stripped) * P(Stripped)

Probability = \frac{n(Stripped)}{Total} * \frac{n(Stripped)}{Total}

Probability = \frac{2}{2 + 5 + 3}* \frac{2}{2 + 5 + 3}

Probability = \frac{2}{10}* \frac{2}{10}

Probability = \frac{4}{100}

Probability = 0.04

3 0
3 years ago
Read 2 more answers
Other questions:
  • A smartphone costs $280. sales tax is 5%. What is the total cost,including tax?
    10·1 answer
  • Noah and Han are preparing for a jump rope contest. Noah can jump 40 times in 0.5 minutes. Han can jump y times in x minutes, wh
    13·2 answers
  • Using V = lwh, what is an expression for the volume of the following prism? The dimensions of a prism are shown.
    7·2 answers
  • X over 5 is greater than 7
    14·1 answer
  • P − 6 = −5 pls help meeee
    15·1 answer
  • Can I get Help please!!!!!
    7·1 answer
  • Select the best answer.
    6·1 answer
  • What is the 4th term of (2x-y)^10
    10·1 answer
  • Which ordered pair is generated from the equation shown below?
    12·1 answer
  • 3/4 is 60% of what number?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!