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Lelu [443]
4 years ago
11

2. What are some differences between rational and irrational numbers?

Mathematics
1 answer:
sergey [27]4 years ago
8 0

Answer:

An irrational number is a number which cannot be expressed in a ratio of two integers. In rational numbers, both numerator and denominator are whole numbers, where the denominator is not equal to zero. While an irrational number cannot be written in a fraction.

Step-by-step explanation: Cuz i said so

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PLEASEEEE If z=-1-sqrt3i and z^6 = a+bi, then a=___ and b=___.
siniylev [52]

Answer:

a = 94

b = -66√3

Step-by-step explanation:

Given  z = -1-i\sqrt{3}

z^{6}=(z^{3})^{2}

(-1-i\sqrt{3})^6=[(-1-i\sqrt{3})^3]^2

                   =[-(1+i\sqrt{3})^3]^{2}

                   =[(1+i\sqrt{3})^3]^2

                   =[(1)^3+(i\sqrt{3})^3+3(1)^2(i\sqrt{3})+3(1)(i\sqrt{3})^2]^2 [(a + b)³ = a³ + b³ + 3a²b + 3ab²]

                   = [1 + 3i² + 3i√3 + 9i²]²

                   = [1 - 3 + 3i√3 - 9]²

                   = [-11 + 3i√3]²

                   = (11)² -2(3i√3)(11) + (3i√3)²

                   = 121 - 66i√3 + 27i²

                   = 121 - 66i√3 - 27

                   = (94 - 66i√3)

Comparing it with (a + bi),

a = 94 and  b = -66√3

7 0
3 years ago
Solve -5.55-8.55c+4.35c for me please
serious [3.7K]

Answer:

− 5.55 − 4.2 c

Step-by-step explanation:

7 0
3 years ago
4 m<br> 3 m<br> What is the length of the hypotenuse?
wlad13 [49]

Answer:

H^2 = 4^2 + 3^2

H^2 = 16 + 9

H^2 = 25

H = √25

H = 5

5 0
3 years ago
Interpret this probability. Select the correct choice below and fill in the answer box within your choice. ​(Round to the neares
tia_tia [17]

Answer:

A. If 100 pregnant individuals were selected independently from this​ population, we would expect nothing pregnancies to last less than 184184 days.

Step-by-step explanation:

The mean, standard deviation, and population size can be used for the analysis. In the problem above, the population size is 100 and the estimated number of days for no pregnancy to occur is less than approximately 184 days. This shows that there will not be any pregnancy for any given day that is below the 184th day.

6 0
4 years ago
A town in east Texas received 15 inches of rain in two weeks. If it kept raining at this rate for a 31−day month, how much rain
blsea [12.9K]

Answer:

33 inches

Step-by-step explanation:

The problem above shows a <em>"direct proportion,"</em> which means that when one quantity increases <em>(days)</em>, the other quantity increases<em> (inches of rain).</em>

Step 1: Represent the amount of rain by n.

Step 2: Setup a proportion.

            \frac{15}{14} = \frac{n}{31} (where 14 refers to the number of days in 2 weeks)

Step 3: Cross multiply:

           15 x 31 = 14n

            465 = 14n

Step 4: Find n by dividing both sides by 14.

            n = 33.21

Step 5: Round off to the nearest inch.

           n = 33 inches

4 0
3 years ago
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