The number 4 + i is multiplied by some real number to yield 2 + one-half i. Which equation is true?

Answers

Answer 1

Answer:

A. (1/2)(4+i)= 2+ (1/2)i

Step-by-step explanation:

The Number 4 + I Is Multiplied By Some Real Number To Yield 2 + One-half I. Which Equation Is True?
Answer 2

The equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

What is a complex number?

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= 4+i

Multiply it by 1/2

[tex]= \rm \dfrac{1}{2}(4+i)\\\\\rm =2+ \dfrac{1}{2}i[/tex]

[tex]\rm \dfrac{1}{2}(4+i) =2+ \dfrac{1}{2}i[/tex]

Thus, the equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

Learn more about the complex number here:

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Related Questions

pleaseeee helppp me nowwww:(((​

Answers

Answer:

I can't see anything to read

Answer:

um

Step-by-step explanation:

explaino moreo

2x - 4 > 4
...................

Answers

Answer:

x>4

Step-by-step explanation:

Which ordered pair is the solution to this system of equations?
2y= 6x + 10
y= 2x + 4

Answers

Answer:

the answer is (-1,2), hope this helps.

Calculate the final cost of the item with tax. Gloves: $17.50, Tax: 6.15% *PLS HELP*

Answers

Answer:

$17.50 + $1.08 (sales tax) = $18.58

Step-by-step explanation:

17.50 x 6.150

In the diagram below, KM=5 and MN=3

Answers

Answer: KL = KN LM=NO=9 Side-Side-Side

Step-by-step explanation:

The required answers to the question is given below.

What is congruence?

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.

How to solve it?

Use the following figure to understand the answer.

The Proof is

1. KM=KO=5 (GIven)

2. MN=3 (Given)

3. KN=KM+MN=8 (because the lengths are equal to the sum of their parts.)

4. KL=8 (Given)

5. KL=KN (from 3,4 substitution)

6. NO=ML=9 (Given)

7. ΔKLM=ΔKNO the congruence criterion used is SSS congruence.

Learn more about congruence of triangles here-

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The weight of water in a person’s body varies directly as his/her body weight. The body of 170-lb person contains about 119-lb of water. How much water is in the body of a person who weighs 120-lb?

Answers

Answer:

119-50 pounds = 69 so 169 pounds -step explanation: blood= weight (k)

Step-by-step explanation:

y=kx

2

4.6 = 170k

finding the constant of variation

3

k= 0.02875

4

equation relates quarts of blood to weight

5

RESULT

4.6 = 170k

y= 0.02875x

y= 0.02875(175)= 5.03125

Answer:

Ww=84 lb

Step-by-step explanation:

Proportions

A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:

y=k.x

Where k is the constant of proportionality.

The value of k is obtained by using the values of a specific point.

The weight of water Ww in a person's body varies directly as their body weight Wb as follows:

Ww=k.Wb

We are given a 170-lb person contains 119 lb of water. Substituting:

119=k.170

Solving for k:

k=119/170=0.7

The function is:

[tex]Ww=0.7\cdot Wb[/tex]

To find how much water is in the body of a 120-lb person, we substitute Wb=120:

[tex]Ww=0.7\cdot 120[/tex]

Ww=84 lb

Could Someone PLEASE help me with this it is stumping me.

Answers

9514 1404 393

Answer:

  G  45

Step-by-step explanation:

If Z is the circumcenter, it is equidistant from the vertices T, U, V. That is, ΔZUV is an isosceles triangle and Y is the midpoint of UV.

If Y is the midpoint of UV, then UY = VY = 22.5, and UV = UY +VY = 45.

The length of UV is 45.

HELP ME FAST!!


What is the different between (3,2) and (3, -6)?

Answers

Answer: the answer is 8

Step-by-step explanation:

-6 + 8 = 2 (y)

Alpha Pharmaceuticals is manufacturing a new antibiotic. The amount of active substance in each pill is normally distributed with a mean of 20 mg and a standard deviation of 2.5 mg. What is the probability of a pill having more than 24.125 mg active substance?

Answers

Answer:

The probability of a pill having more than 24.125 mg active substance is 0.0495.

Step-by-step explanation:

Let X denote the amount of active substance in each pill.

It is provided that,[tex]X\sim N(20,\ 2.5^{2})[/tex]

Compute the probability of a pill having more than 24.125 mg active substance as follows:

[tex]P(X>24.125)=P(\frac{X-\mu}{\sigma}>\frac{24.125-20}{2.5})[/tex]

                       [tex]=P(Z>1.65)\\\\=1-P(Z<1.65)\\\\=1-0.95053\\\\=0.04947\\\\\approx 0.0495[/tex]

Thus, the probability of a pill having more than 24.125 mg active substance is 0.0495.

please answer I need it

A-between hour 2 and 3
B-between hour 4 and 5
C-between hour 1 and 2
D-between hour 3 and 4​

Answers

Answer:

A

Step-by-step explanation:

This is due to the fact that their is no gain. It just plateaus.

Answer:

A

Step-by-step explanation:

Sorry if I get this wrong I just thought it might be the slowest because it's going up in time but not distance.

Pls help I'll mark the brainliest to the person who answers first.

Answers

Answer:

C

Step-by-step explanation:

The quotient of a number and twelve plus four would be n/12 + 4 and not 12/n + 4

Answer:

C

Step-by-step explanation:

The quotient of a number and twelve plus 4 would be represented as n/12+4

Demetrius invested money into two different stocks after one year he revived a letter that summarized the preformance of the stocks graphically Demetrius observed that the growth of each stock was the same which equation shows the translation of the graph of stock b to that of stock a

Answers

Answer:

C

Step-by-step explanation:

3 dotted horizontal and parallel lines are shown. Point Q is at the far left side of the top line, point R is at the far right of the second line, and point S is at the far left side of the bottom line. Lines are drawn from point Q to point R and from point R to point S. The angles formed are labeled, from top to bottom: 1, 2, 3, 4. Use the diagram to complete the statements. The angle of depression from point R to point S is angle . The angle of elevation from point S to point R is angle . Angle 2 is the angle of elevation from . Angle 1 is the angle of .

Answers

Answer: Use the diagram to complete the statements.

The angle of depression from point R to point S is angle

✔ 3

.

The angle of elevation from point S to point R is angle

✔ 4

.

Angle 2 is the angle of elevation from

✔ point R to point Q

.

Angle 1 is the angle of

✔ depression from point Q to point R

.

Step-by-step explanation:

got it right on edge

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. ∠1 is the angle of depression from point Q to R.

What is an angle?

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

For the given statements, the diagram can be made as shown below, therefore,

The angle of depression from point R to point S is ∠3.The angle of elevation from point S to point R is ∠4.∠1 is the angle of depression from point Q to R.

Learn more about Angle:

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If x = -3, and y = 2, evaluate the following:
4x^2

Answers

Answer:

Evaluate the expression for the given values of x and y. x-y/x+y when x = 10 and y = 8

Please help. Also my answers are wrong.

Answers

9x+2 = 6x/8, 72x+16 = 6x, 16 = -66x, x = - 0.242424... or - 8/33
The picture is a bit blurry, I think it is 6x divided by 8 right?

The boy has 45 apples and ate 6 bla bla bla

Answers

so if it’s sub then 45 -6 = 39

Answer:45-6=39

Step-by-step explanation:OKEI im sorry for asking, but askings what i do,can I have ur points so i can be more richer than u

A lay office assistance gets 236.39 every two weeks. How much will they make in a year? Round to the nearest cent

Answers

Answer:

Step-by-step explanation:round the number then x it by 12

Answer:

$5673.36

Step-by-step explanation:

4 weeks in a month

12 months in a year

Therefore, they get paid twice in a month.

236.39 * 2(twice in a month) = 472.78 per month

Take this and times it by 12 since there are 12 months in a year.

472.78*12 = 5673.36

Leslie and her friend eat lunch at a restaurant.
To determine how much money to leave as a tip, she multiplies the bill by 0.18.
How much money should she leave as a tip if the bill is $25?

Answers

answer :

$4.50

explanation:

Which expression is equivalent to 9+8 xn?
0 72n
O 9 + 8n
17 xn
0 9x (8 + n)

Answers

17 xn, because 9+8 is 17, and xn stays the same.

Plsss help i will give brainliest

Answers

Answer::

Tens: 7 Hundredths: 0 Ten Thousandths: 3

Step-by-step explanation:

The numbers before the decimal points don't have "-th" at the end, numbers after the decimal do.

Closest to the left of the decimal: ones, tens, hundreds, thousands....

Closest to the right of the decimal: tenths, hundredths, thousandths, ten thousandths....

Ten samples of coal from a Northern Appalachian source had an average mercury content of 0.242 ppm with a standard deviation of 0.04 ppm. Find a 95% confidence interval for the mean mercury content of coal from this source. Round the answers to four decimal places.

Answers

Answer:

0.2172<x<0.2668

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as;

CI = xbar ± (z*s/√n)

xbar is the average = 0.242ppm

z is the z score at 95% confidence = 1.96.

s is the standard deviation = 0.04pm

n is the sample size = 10

substitute the values into the formula;

CI = xbar ± (z*s/√n)

CI = 0.242 ± (1.96*0.04/√10)

CI = 0.242 ± (1.96*(0.04/3.1623))

CI = 0.242 ± (1.96*(0.01265))

CI = 0.242 ± (0.02479)

CI = (0.242-0.02479, 0.242+0.02479)

CI = (0.2172, 0.2668)

Hence a 95% confidence interval for the mean mercury content of coal from this source is 0.2172<x<0.2668.

Can anyone help me ASAP please? I will mark BRAINLIEST

Answers

Answer:

I think it's a triangle

Step-by-step explanation:

hope this helped

Answer:

Step-by-step explanation:

3x = x + 6

3x - x = 6

2x = 6

x = 6/2

x = 3

Hope this helps

plz mark as brainliest!!!!!!

1
2
3
4
5
7
8
Which is the value of this expression when P=-2 and q=-17
(602Xa%) *.(60*10%)
OTE
Which is the value of this expression when p=-2 and a=-1

Answers

It's a formula that is represented

can someone help me on this please

Answers

Answer:

the answer is infinitely many solutions

what is 6,691 ÷ 28

step by step

without a decimal​

Answers

Answer:

238

Step-by-step explanation:

238.964286

What is 6,691 ÷ 28

238.964285714

Find the value of x.
54
79

Answers

Answer:

I believe it is 47 degrees

Step-by-step explanation:

Triangles add up to 180 degrees

54 + 79 = 133

180 - 133 = 47

Pls help me out I’m having some trouble

Answers

Answer:

Yes, the table below does represent a proportional relationship since 7/3=12.5/5=20/8=27.5/11=2.5.

Step-by-step explanation:

Yes the table does support.

please help asap question three#

Answers

Answer:

I don't know, i know its a parrell structure but the answers i dont know i am just here for the points to beat my friend in a race

Step-by-step explanation:

PLZ HELP!!!

Xavier is attempting to recreate a problem his teacher showed him in class. To do so, he creates the table below.

x
y
1
3
2
?

He remembers that the slope of the line through the ordered pairs in the table was 4. What is the missing y-value in the table?
5
7
8
12

this is on edge2020

Answers

4 is missing I assume. But I could be wrong

Find the sum of the interior angle measures of the green polygon,
Then sum of the interior angle measures is

Answers

Answer:

The sum of interior angles of given polygon is 900°

Step-by-step explanation:

A regular polygon is a n-sided figure with n sides and the length of all sides is same.

In the diagram, we have a polygon with 7 sides.

The formula given is used to calculate the sum of interior angles of a polygon

[tex]Sum\ of\ interior\ angles = (n-2)*180[/tex]

Here n is the number of sides of polygon

In the given polygon

n = 7

So,

[tex]Sum = (7-2)*180 = 5*180 = 900[/tex]

Hence,

The sum of interior angles of given polygon is 900°

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