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2 years ago

What is the quotient of the complex number 4-3i divided by its conjugate ?

Mathematics

2 answers:

sashaice [31]2 years ago

4 0

Answer:

7/25 - 24/25i

Step-by-step explanation:

mina [271]2 years ago

3 0

Answer:

Quotient is $\frac{7-24i}{25}$

Step-by-step explanation:

Given is a complex number as 4-3i

We have to find the quotient when divided by its conjugate

Its conjugate is

$4+3i$

When divided we have

$\frac{4-3i}{4+3i} =\frac{4-3i}{4+3i} \frac{4-3i}{4-3i}$

(to simplify the above)

= $\frac{(4-3i)^2}{4^2+3^2} \\=\frac{7-24i}{25}$

Quotient is $\frac{7-24i}{25}$

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1/3 cup of flour makes 5 dinner rolls. How many cups of flour for 1 roll? and how much flower for 36 rolls?

shtirl [24]

For one roll, you need to take that 1/3 cup and split it into 5 parts. To do this, divide by 5, which means the fraction becomes 1/15, giving you 1/15 cup flower for one roll.

36 rolls is just 36 times the one roll, which is 36/15 cups. You can divide both parts by 3 to make that 12/5 cups for 36 rolls.

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3 years ago

Read 2 more answers

Which statement would make this true<br> |-27|_____|-45|<br> A.greater<br> B.equal<br> C.less

Effectus [21]

Answer:

I would say the answer is A.

Step-by-step explanation:

Hope it helps :)

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2 years ago

g A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of pa

adoni [48]

Complete Question

A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of parts had a mean of 1.6 millimeters with a standard deviation of 0.03 millimeters. what standard deviation will be needed to achieve a process capability index f 2.0?

Answer:

The value required is $\sigma = 0.0133$

Step-by-step explanation:

From the question we are told that

The upper specification is $USL = 1.68 \ mm$

The lower specification is $LSL = 1.52 \ mm$

The sample mean is $\mu = 1.6 \ mm$

The standard deviation is $\sigma = 0.03 \ mm$

Generally the capability index in mathematically represented as

$Cpk = min[ \frac{USL - \mu }{ 3 * \sigma } , \frac{\mu - LSL }{ 3 * \sigma } ]$

Now what min means is that the value of CPk is the minimum between the value is the bracket

substituting value given in the question

$Cpk = min[ \frac{1.68 - 1.6 }{ 3 * 0.03 } , \frac{1.60 - 1.52 }{ 3 * 0.03} ]$

=> $Cpk = min[ 0.88 , 0.88 ]$

$Cpk = 0.88$

Now from the question we are asked to evaluated the value of standard deviation that will produce a capability index of 2

Now let assuming that

$\frac{\mu - LSL }{ 3 * \sigma } = 2$

$\frac{ 1.60 - 1.52 }{ 3 * \sigma } = 2$

=> $0.08 = 6 \sigma$

=> $\sigma = 0.0133$

$\frac{ 1.68 - 1.60 }{ 3 * 0.0133 }$

=> $2$

Hence

$Cpk = min[ 2, 2 ]$

$Cpk = 2$

So $\sigma = 0.0133$ is the value of standard deviation required

3 0

2 years ago

A square has a perimeter of 28 inches. Find the area of the square.

sasho [114]

Answer:

A = 49 in^2

Step-by-step explanation:

The perimeter of a square is found by

P = 4s where s is the side length

28 = 4s

Divide each side by 4

28/4 = 4s/4

7 =s

We want to find the area

A = s^2 where s is the side length

A = 7^2

A = 49 in^2

4 0

2 years ago

Read 2 more answers

Put together, Albert and Jason have

Anon25 [30]

Answer:

Step-by-step explanation:

you have to subtract 110 by 42 then when you have that number you divide it by two. then you add 42 to one of the twin numbers. That will be how many jason has, and albert will have the other number you kept the same.

7 0

2 years ago