What is the absolute value of the complex number -4-√2i?
A.√14
B.3√2
C.14
D.18
PLEASE HELP

Answers

Answer 1

Answer:  Choice B.  3√2

This is the same as writing 3sqrt(2) or [tex]3\sqrt{2}[/tex]

===========================================================

Reason:

For any complex number of the form [tex]z = a+bi[/tex], the absolute value or magnitude of it is [tex]|z| = \sqrt{a^2+b^2}[/tex]

In this case, we have [tex]a = -4 \text{ and } b = -\sqrt{2}[/tex]

So,

[tex]|z| = \sqrt{a^2+b^2}\\\\|z| = \sqrt{(-4)^2+(-\sqrt{2})^2}\\\\|z| = \sqrt{16+2}\\\\|z| = \sqrt{18}\\\\|z| = \sqrt{9*2}\\\\|z| = \sqrt{9}*\sqrt{2}\\\\|z| = 3\sqrt{2}\\\\[/tex]

If we formed a segment with the endpoints [tex](0,0) \text{ and } (-4, -\sqrt{2} )[/tex], then that segment will have length of the value mentioned above.

Side note: This formula or concept is related to the pythagorean theorem.


Related Questions

2.4 divided by 0.24 pllss help

Answers

Answer:

your answer is 10 Goodluck

The food store sold 88 ice cream cakes in June. If it would sell 25% more ice cream cakes in July, how many more ice cream cakes would they sell in July than in June?​

Answers

88x0.25=22
Therefore, they would sell 22 more ice cream cakes in July.

If the volume is 7 and the density is 1.420 what's thr mass

Answers

Answer:

9.94

Step-by-step explanation:

Density = mass/ volume

1.420 = mass / 7

7 x 1.42 = mass

9.94 = mass

the spinner will be spun three times. what is the porbability of spinning an odd number all three times?
A.1/8 The spinner looks likes this just i cant add a circle
B.1/4 4 1
C.1/2 3 2
D.3/4

Answers

Answer:

I think it is a bit not for shore

Select the correct answer. which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)

Answers

The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

How to determine the complete factorization?

The expression is given as:

9x² + 3x - 2

Expand the equation

9x² + 3x - 2 = 9x² + 6x - 3x - 2

Factorize the expression

9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)

Factor out 3x + 2

9x² + 3x - 2 = (3x - 1)(3x + 2)

Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

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i would really appreciate some help with this question, thank you!

if A(4,5), B(6,8), then vec AB is .......

answer choices;
a)(24,40)
b)(10,13)
c)(2,3)
d)(40,24)

Answers

Answer:

A is the answer to the question

Step-by-step explanation:

4*6=24

5*8=40

David has kept track of his family’s grocery bills for the past
10 weeks, as shown in the table.
Week 1 2 3 4 5 6 7. 8 9 10
Bill ($) 92 106 129 115 100 84 110 156
98 87
Would you choose to use a histogram, a circle graph, or a line graph to
display the data? Explain your choice.

Answers

Answer:

it is more easier to use a histogram and accurate

Answer:

Line graph

Step-by-step explanation:

A line graph is specifically used to display data that changes over time, a line plot uses several points connected by straight lines on an x and y axis.

I wouldn't choose a histogram because a histogram is used to summarize continuous data.

As well as I wouldn't use a circle graph becasue it is often used to show the percentage of of population who gave a certain answer.

Two similar spheres have a scale factor of 2:5. What is the ratio of their surface areas?

Answers

Answer:

4:25

Step-by-step explanation:

Sphere surface area = 4 pi r^2  

   now change r to 2.5 r  ( to maintain the 2:5 ratio)

   area2 = 4 pi (2.5 r)^2 =     6.25    *    4 pi r^2

    so ratio of surface areas is  1 : 6.25   = 4:25

If two similar spheres have a scale factor of 2:5. Then the ratio of their surface areas will be 4 / 25.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Two similar spheres have a scale factor of 2:5.

Let the r₁ and r₂ be the radius of the spheres. Then we have

r₁ / r₂ = 2 / 5

Then the surface area of the sphere is given as

Surface area = 4πr²

Then the ratio of their surface areas will be

[tex]\rightarrow \dfrac{4\pi r_1^2 }{4\pi r_2^2} = \left (\dfrac{r_1}{r_2} \right )^2[/tex]

Then we have

→ (2 / 5)²

→ 4 / 25

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If a sprinkler rotated 90˚, paused, and then rotated another 90˚, how many degrees
did it rotate altogether

Answers

Answer:

180°

Step-by-step explanation:

Since a sprinkler rotates 90°, pauses,and then rotates another 90°

So, here total degrees be like

= 90° + 90°

= 180°

hence, The number of degrees did it rotate altogether should be considered as the 180 degrees.

If B=94, Then what is B-(8x4)?

Answers

Answer:

62

Step-by-step explanation:

If B = 94, then it'd be 94 - (8*4)

94 - 32

62

7. Find the L.C.M of 24,15 and 16​

Answers

Answer:

240

Step-by-step explanation:

Step 1 : Prime factorize the given terms.

24 = 3 x 8 = 3 x 2³15 = 3 x 516 = 4 x 4 = 2⁴

Step 2 : Out of the factors of all terms, take the factors with the highest power of different bases and multiply.

⇒ LCM (24, 15, 16) = 2⁴ x 3 x 5

⇒ LCM = 16 x 15

⇒ LCM = 240

(see image) please help i give brainlist What will the equation be if the following equation is translated 5 units right and 6 units down?

Answers

Answer:

The equation is

g(x) = (x+5)² - 6

Which situation best describes conditional probability?.

Answers

Using it's concept, it is found that the situation that best describes conditional probability is given by:

4. Finding the probability of an event occurring given another event had already occurred.

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.

The key-word is previous, that is, we have to consider a previous event that already happened. Hence, researching the problem on the internet, the correct option is given by:

4. Finding the probability of an event occurring given another event had already occurred.

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The formula for the distance traveled over time ttt and at an average speed vvv is v\cdot tv⋅tv, dot, t.
Amit ran for 404040 minutes at a speed of about 555 kilometers per hour
What calculation will give us the estimated distance Amit ran in kilometers?

Answers

5x40/60 is the answer because using the correct equations should come out to this

GIVING BRAINLIESST TO ANYONE WHO HELPS PLEASE EXPLAIN THANK U

Answers

Answer:

3:1 or 9:3

Step-by-step explanation:

It wants a ratio of larger rectangle : smaller rectangle.

All we have to do is replace the values and we get 9:3, or simplified, 3:1

Hope this helped! I would appreciate a Brainliest if you wouldn't mind!

Juan can type 27 words in 9 minutes.
What is his rate in words per minute?
words per minute?

Answers

Answer:

3 words per minute

Step-by-step explanation: First you divide 9 by 9 to get one then you divide 27 by nine to get 3 simple

Answer:

y=3

Step-by-step explanation:

27=y x 9

27/9= y x 9/9

3=y

3words x9minutes =27words in 9 minutes 3 words a minute.

I used y because x would look tacky next to another x

three-quarters of a number is 12 more than two-third of the number what is the number

Answers

Answer:

oww my brain but umm 3 i think

Step-by-step explanation:

pretty sure

5. Tyrone has a deck of cards numbered 1 - 5.
He chooses one card, replaces it, and then
chooses another card. Find the probability
that he draws a 2 first and then chooses a
card less than 4.

Answers

Answer:

3/25

Step-by-step explanation:

1/5 x 3/5 = 3/25

33, EDUCATION In a certain small town,
65% of the adults are college graduates.
How many of the 240 adults living in
the town are college graduates?
tooo

Answers

Answer:

156 adults are college graduates

Step-by-step explanation:

To find the answer we have to find 65% of 240.

[tex]240 \times \frac{65}{100} = \\ \\ \frac{15600}{100} = \\ \\ 156[/tex]

 Janet Henderson is a secretary. She works Monday to Friday every week. If she worked a
total of 44.5 hours this week, and her regular pay is $11.46 per hour. What is Janet's
overtime pay?

Answers

Answer:  Janet's overtime pay is: " $ 17. 19 per hour ."
  →  and specifically:  " $ 77.36 " ;
        →  [for the 4.5 hours of overtime pay worked Within the total 44.5 hours Janet worked within the particular Monday to Friday workweek as given within this particular Brainly question/].
__________

Step-by-step explanation:
__________
Note:  Let us assume that up to and including "40 hours within a workweek" is paid as a "base rate of regular pay"—and that any hours worked over "40 hours" count as "overtime hours.."

Furthermore: Let us assume that "overtime pay" is paid at the rate of "time and a half".  This means that any and all hours worked over 40 hours are "overtime hours"—and that these "overtime hours" are paid at the rate at "1.5 times" the rate of the regular hourly rate.
__________

Note: A secretary is typically a job that is paid by the "hour"; as opposed to certain management positions (which are paid by "salary").
→ So, we shall assume that the secretary, "Janet Henderson", is a "hourly worker"—who is "non-exempt" from being paid "overtime."
→ So, first, given:  Janet Henderson worked Monday through Friday for a total of "44.5 hours."
Note: This amount: "44.5 hours" ; is over "40 hours."
            {i.e. " [44.5 hours]  >  [40 hours] ".}.

Note:  Any and all hours Janet earned in excess of 40 hours are considered : "overtime hours."
Now:  Let us calculate the number of "overtime hours":
   → We subtract: "40"; from the actual amount of hours Janet worked [which is "44.5 hours"] ;
    →   " (44.5 − 40) hours " ;
          =  " 4.5 hours " (of overtime worked).
Now, we are given that Janet's regular pay is:  " $ 11.46 per hour."
→  To solve: Find the value of:   " (1.5) * ($ 11.46) " ;
Method 1) Use a calculator:  to get:  " 17. 19 " .
    → The answer is:  " $ 17.19 per hour."

Method 2)
    →  
" 11.46 + [(1/2)* 11.46] " ;

             =  "11.46 + (11.46 /2)" ;  
Note: Let us start by calculating:  "(11.46 / 2)" ; that is:  "(11.46 ÷ 2)" .
Method A) Note:  " 11.46 ÷ 2 = 5.73 " ; → {Using a calculator.}.
Method B)  
Using long division; to get:  "5.73 " ; as follows:

            5.73
      2⟌ 11.46

        - 10    
             1.46
        -    1.4  
             0.06
        -    0.06
             0.00 .

Now:  We can write the expression:  
 →   " 11.46 + [(1/2)* 11.46] " ;  as:
 →     " 11.46 + 5.73 " ; & then calculate (add the values);

to get" 11.46 + 5.73 = " 17. 19 "

So;  Janet's overtime pay is $17.19 per hour.

Other:
To find the specific, exact dollar amount of overtime pay earned for the "4.5 hours" of overtime worked in the particular Monday to Friday workweek as given within the actual question:

→ We multiply this amount—"17.19 dollars"— by the number of overtime hours that Janet worked—"4.5 hours"—as follows:
→  "   [tex]\frac{17.19 dollars}{hr} *\frac{4.5 hr}{1}[/tex]  " ;  
→  The units of "hr" ["hour(s)"] cancel out to: "1 ";  
          →  {since:   ["hr/ hr " = 1 .] } ;
And we have:  
→ " (17.19 dollars * 4.5)  = _?  dollars " ;  Solve for: {the "_?_"  value.}:
Using a caculator:  We get:
   →  77.355 dollars;  ⇒  write as:  $77.355 ;  round to:  " $ 77.36 " .
________
Hope this is helpful to you!
      Best wishes to you in your academic pursuits!

________

Mai put $4250 in the bank at 4.4% interest compounded annually. How much was in her
account after 7 years?

Answers

Answer:

$5745.03

Step-by-step explanation:

A = 4250(1 + 0.044)7 = $5745.03

The required amount in the Mai accounts after 7 years will be $5745.03.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Amount = principal[1 + r/n]ⁿᵃ

Here,

Principal = 4250, rate = 4.4%, Time = 7 ,
Amount = 4250[1 + 0.044]⁷
Amount = $5745.03

Thus, the required amount in the Mai accounts after 7 years will be $5745.03.

Learn more about compound interest here: https://brainly.com/question/14295570

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Solve for x, y and z. Round your answers to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Find the Volume of the triangular prism

Answers

Answer:

  72 cubic yards

Step-by-step explanation:

The volume of a prism is given by ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

Here, the base is a triangle, so its area is given by ...

  A = 1/2bh

where b is the base of the triangle, and h is the height perpendicular to the base.

__

Using these formulas with the dimensions given, we have ...

  B = 1/2(8 yd)(3 yd) = 12 yd²

  V = (12 yd²)(6 yd) = 72 yd³

The volume of the triangular prism is 72 cubic yards.

_____

Additional comment

Effectively, the volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.

A 20 ft. long piece of lumber is cut such that the first piece is 4 ft. longer than three times the second piece. what is the length of each piece?

Answers

Answer:

2nd = 4ft.

1st = 16ft

Step-by-step explanation:

2nd = x

1st = 3x + 4

Piece of rope = 20ft.

(3x + 4) + x = 20

4x + 4 = 20

4x = 16

x = 4 (second piece)

First

3x + 4

3(4) + 4

12 + 4 = 16

I need help! Find the measure of all sides. Round to the nearest tenth.

Answers

Answer:

[tex]let \: the \: angle \: be \: \alpha \\ \tan( \alpha ) = \frac{p}{b} \\ \tan(16.8) = \frac{2.7}{x} \\ x = \frac{2.7}{0.30 } \\ x = 9 \\ now \: by \: using \: pythagoras \: theorem \: \\ h = \sqrt{p {}^{2} } + b {}^{2} \\ h = \sqrt{ {2.7}^{2} } + {9 }^{2} \\ h = 9.396[/tex]

I NEED THE PROPER ANSWER AND EXPLAINATION PLS
complete these rates:
a) $96 in 3 hours = $ /h
b) 14 g in 2 minutes = g/min
c) 32 m in 10 seconds = m/min
d) $7.40 in 30 minutes = $ /h
e) 660 runs in 8 matches = runs/match

Answers

Answer:

See below

Step-by-step explanation:

a) $96 in 3 hours = 96/3 = $32/h

b) 14 g in 2 minutes = 14/2 =7 g/min

c) 32 m in 10 seconds = 32*60/10 = 132 m/min

d) $7.40 in 30 minutes = 7.40*60/30= $14.8 /h

e) 660 runs in 8 matches = 660/8 = 82.5 runs/match

g(x) = x² + x
Evaluate g (a)



Reviewing for up and coming final please help

Answers

Answer:

g(a) = a² + a

Step-by-step explanation:

g(x) = x² + x

put x = a

:- g(a) = a² + a

[tex]g(x) = x^2 +x\\ \\g(a) =a^2 +a = a(a+1)[/tex]

A popular social networking website wants to upgrade its webpage design, but it is unsure how its audience would respond to the change. what is the best step for the website to take in order to gauge the target audience’s response if it wants to limit the risk of alienating the entire target audience?

Answers

To limit the risk of alienating the entire target audience it needs to release the design to a small number of randomly chosen members .

Who are the target audience?

target audience serves as a term that describes the people that a particular work or a product is been directed to.

Therefore, as a popular social networking website who want to limit the risk of alienating target audience, it should work randomly.

Learn more about target audience at;

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Given h(x)=2x3 + x2 +7, what is the value of h(−3)?
With the steps please.

Answers

Answer:

-38.

Step-by-step explanation:

Plug x = -3 into the given function

h(-3) = 2(-3)^3 + (-3)^2 + 7

= -54 + 9 + 7

= -54 + 16

= -38.

I need help question is in image.​

Answers

I think the answer is 19
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