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son4ous [18]
3 years ago
7

If a = 2 + i, and b = 3 – 2i, whats b/a?

Mathematics
1 answer:
Alexxx [7]3 years ago
3 0
Hello : 
<span>b/a = (3-2i)/(2+i)
      = </span>(3-2i)(2-i)/(2+i)(2-i)
      = (3-2i)(2-i)/(2²-i²) .......i² = -1 
      = (6-3i-4i -2)/5
      =(4 -7i)/5
b/a = (4/5)-(7/5) i 

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The number of seats in each row of a theater forms an arithmetic sequence. The fifth row contains 22 seats. The tenth row contai
beks73 [17]

Let s_n denote the number of seats in the n-th row. s_n is arithmetic, so

s_n=s_{n-1}+d

for some constant d.

We're told s_5=22 and s_{10}=37, so that

s_{10}=s_9+d

s_{10}=(s_8+d)+d=s_8+2d

s_{10}=(s_7+d)+2d=s_7+3d

and so on up to

s_{10}=s_5+5d\implies37=22+5d\implies5d=15\implies d=3

The pattern continues:

s_5=s_4+3

s_5=(s_3+3)+3=s_3+2\cdot3

and so on up to

s_5=s_1+4\cdot3\implies22=s_1+12\implies\boxed{s_1=10}

7 0
3 years ago
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Knowing that you need a sample pool of 1019 students to ultimately get about 500 students in your sample, you are in a position
Allushta [10]

Answer:

Sampling interval = 9.323

Step-by-step explanation:

Given that:

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Sampling interval :

Population size / required sample size

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Interpretation :

In other to obtain a sample of 1019 drawn systematically from the population, a sample will be drawn at every 9.323 units from the population of 9500

6 0
3 years ago
4) Oceanside Bike Rental Shop charges $17 plus $6 an hour for renting a
Tresset [83]

Answer:

It is 7

Step-by-step explanation:

y = mx+b

y is the total cost.

x is the number of hours.

b : that's 16 dollars.

y = 9x+16

 

The problem states that the cost was 79 dollars.

Substitute that for y and solve for x.

79 = 9x+16

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x = 7 hours

8 0
3 years ago
X - (-2) = 10<br> what is x
miskamm [114]

Answer:

x = 12

Step-by-step explanation:

x - (-2) = 10 | Given

x - 2 = 10 | Distribute (whenever there is a minus on the outside of a parenthesis imagine a -1 on the outside, and flip the signs of everything on the inside)

x = 12 | Add 2 to both sides.

5 0
3 years ago
0.325x10^-2 is this a scientific notation, explain your answer, write the number in standard notation
almond37 [142]

Step-by-step explanation:

0.00325

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