The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers?

Answers

Answer 1

Answer:

The complex numbers have opposite real numbers.

Answer 2

Answer:

The Complex Numbers Have Opposite Real Parts

Step-by-step explanation:


Related Questions

On the teacher’s desk there were r boxes of pencils, 20 pencils in each. If 23 students got p pencils each, how many pencils are still on the teacher’s desk?

Answers

Answer:

20r-23p

Step-by-step explanation:

PLZ Help
This is due by 2:20

Answers

Answer:

The answer is 60 degrees.

Step-by-step explanation:

The three angles in any triangle add up to 180 degrees.

You know by the box at the bottom right that it's a right triangle and therefore that angle is 90 degrees. They also give you the 30 degree angle at the bottom left. So:

90 degrees + 30 degrees = 120 degrees.

180 degrees (total) - 120 degrees (first 2 angles) = 60 degrees (missing angle)

Hope this helps!

Someone please help fast, I am really lost with the law of logarithms and need help with these questions in picture

Answers

We'll use the following log rules

Log rule 1:  log(xy) = log(x)+log(y)Log rule 2: log(x/y) = log(x)-log(y)Log rule 3: log(x^y) = y*log(x)

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

Part 1

Answer: 2a + 2c

-------------

Work Shown:

Ln(100) = Ln(4*25)

Ln(100) = Ln(2*2*5*5)

Ln(100) = Ln(2)+Ln(2)+Ln(5)+Ln(5) ... using log rule 1

Ln(100) = a+a+c+c

Ln(100) = 2a + 2c

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

Part 2

Answer: 2a + b - c

-------------

Work Shown:

Ln(2.4) = Ln(24/10)

Ln(2.4) = Ln[ (2*2*2*3)/(2*5) ]

Ln(2.4) = Ln[ (2*2*3)/5 ]

Ln(2.4) = Ln(2*2*3) - Ln(5) ... using log rule 2

Ln(2.4) = Ln(2)+Ln(2)+Ln(3) - Ln(5) .... using log rule 1

Ln(2.4) = a+a+b-c

Ln(2.4) = 2a+b-c

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

Part 3

Answer: -3a + b - 3c

-------------

Work Shown:

Ln(0.003) = Ln(3/1000)

Ln(0.003) = Ln[ 3/( 10^3) ]

Ln(0.003) = Ln(3) - Ln(10^3) ... log rule 2

Ln(0.003) = Ln(3) - 3*Ln(10) ... log rule 3

Ln(0.003) = Ln(3) - 3*Ln(2*5)

Ln(0.003) = Ln(3) - 3*( Ln(2) + Ln(5) ) ... log rule 1

Ln(0.003) = b - 3*( a + c )

Ln(0.003) = b - 3a - 3c

Ln(0.003) = -3a + b - 3c

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

Part 4

Answer: 3a + 3b + 2c

-------------

Work Shown:

All logs shown for this part are in base 2

log(5400) = log(54*100)

log(5400) = log(6*9*4*25)

log(5400) = log(2*3*3*3*2*2*5*5)

log(5400) = log(2^3*3^3*5^2)

log(5400) = log(2^3)+log(3^3)+log(5^2) ... log rule 1

log(5400) = 3*log(2)+3*log(3)+2*log(5) ... log rule 3

log(5400) = 3a + 3b + 2c

Is this statement true or false?
The period before we have written records is called prehistory
true
false​
It's history

Answers

True it’s prehistory


Rachel works 5 days a week and works 7.5 hours on each of the days she works. How many hours does
Rachel work in 3 weeks

Answers

Answer: 112.5 hours

Step-by-step explanation:

could you help me answer this for a friend ​

Answers

Answer:

The correct option is option C(SAS) as there are 2 angles and 1 common side(BC) used to prove the triangles congruent..

Which expression is equivalent to 21 - (-5)?
O A. -21 + 5
O B. 21 + 5
O C. -21 - 5
O D. 21 - 5

Answers

The answer is 21+5. Since there are 2 subraction of a negative it becomes a positive
It’s 21+5 (which is letter B) You turn the two negative signs positive.

Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. passing through (3,5) and (8,15).

Answers

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5 = 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1

The planet Mars has a radius of 3400 km. What is the volume of Mars?

Write your answer in scientific notation to three decimal places.

Answers

Answer:

1.646×10¹¹ km³.

Step-by-step explanation:

From the question given, we obtained the following information:

Radius (r) = 3400 km

Volume (V) =.?

The shape of a planet is spherical in nature. Thus, we shall apply the formula for calculating the volume of a sphere to obtain the volume of Planet Mar as illustrated below:

Radius (r) = 3400 km

Pi (π) = 3.14

Volume (V) =.?

Volume of a sphere = 4/3 πr³

V = 4/3 × 3.14 × (3400)³

V = 4/3 × 3.14 × 3.9304×10¹⁰

V = 1.646×10¹¹ km³

From the calculations made above, the volume of Planet Mar is 1.646×10¹¹ km³

HELP!!! Need Some Homework Help!

Answers

Answer:

( -4, 7 )

Step-by-step explanation:

The difference between (2,3) and (-1,5) is (-3,2)

Because (-3,2) is the length of half the line we need to add that figure to M to get point S

(-1,5) plus (-3,2) is (-4,7)

Earth’s diameter is approximately 12,760,000 meters. What is that number in scientific notation?​

Answers

Answer:

1.276 × 10-7 12.76 × 10-6 1.276 × 107 0.1276 × 108.

Step-by-step explanation:

help me please this is due today!!!!!

Answers

Just reflect it over the y=x

Pls help pls ASAP 1,2,3,4

Answers

Answer:

3

Step-by-step explanation:

Answer: the third on i think

Step-by-step explanation:

Write the​ point-slope form of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation. Passing through ​(​-8,​0) and ​(​0,​8) Type the​ point-slope form of the equation of the line.

Answers

Answer:

Step-by-step explanation:

(8 - 0)/(0 + 8)= 8/8= 1

y - 0 = x + 8

y = x + 8

(2/3)^3(1/5•2/3)^-3(1/5)^4

PLS HELP

Answers

Answer:

1/5

Step-by-step explanation:

You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.

Suppose you work for a company that manufactures electronics. The development analysts estimate that 5% of their flagship product will fail within 2 years of the purchase date, with a replacement cost of $ 1200. A newly hired associate at the company proposes to charge $ 50 for a 2-year warranty. 1. Compute the expected value of this proposal. Let X be the amount profited or lost (by the company) on the warranties and P(X) is the probability. 2. Interpret the expected value in complete sentences.

Answers

I’m not sure but I tried

The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses.

To compute the expected value of the proposal, we need to calculate the amount profited or lost (X) by the company on the warranties and the probability (P(X)) of each outcome.

Now, we have,

The product doesn't fail within 2 years, and the company earns $50 from the warranty.

The product fails within 2 years, and the company incurs a replacement cost of $1200 but keeps the $50 warranty fee.

The probability of the product not failing within 2 years is 1 - 0.05 = 0.95,

and the probability of the product failing within 2 years is 0.05.

Now, we have to find the expected value (E(X)):

[tex]E(X) = P(X_1) * X_1 + P(X_2) * X_2[/tex]

Where:

[tex]P(X_1)[/tex] = Probability of the product not failing within 2 years = 0.95

[tex]X_1[/tex] = Amount profited when the product doesn't fail within 2 years = $50

[tex]P(X_2)[/tex] = Probability of the product failing within 2 years = 0.05

[tex]X_2[/tex] = Amount lost when the product fails within 2 years = -$1150 (Replacement cost of $1200 - $50 warranty fee)

E(X) = 0.95 * $50 + 0.05 * (-$1150)

E(X) = $47.50 - $57.50

E(X) = -$10

The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses. As a result, the company might want to reconsider the pricing of the warranty or look for other ways to reduce the potential costs associated with the product failures.

To learn more on probability click:

brainly.com/question/11234923

#SPJ3

The endpoints of (MP)are M(2,1) and P(12,6). If point K partitions (MP) in a ratio of MK:KP = 3:2, what are the coordinates of K?

Answers

Answer:

K(8, 4)

Step-by-step explanation:

Given:

M(2, 1), P(12, 6)

MK:KP = 3:2

Required:

Coordinates of K

SOLUTION:

Coordinates of K can be determined using the formula below:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

Where,

[tex] M(2, 1) = (x_1, y_1) [/tex]

[tex] P(12, 6) = (x_2, y_2) [/tex]

[tex] m = 3, n = 2 [/tex]

Plug in the necessary values to find the coordinates of K:

[tex] x = \frac{mx_2 + nx_1}{m + n} [/tex]

[tex] x = \frac{3(12) + 2(2)}{3 + 2} [/tex]

[tex] x = \frac{36 + 4}{5} [/tex]

[tex] x = \frac{40}{5} [/tex]

[tex] x = 8 [/tex]

[tex] y = \frac{my_2 + ny_1}{m + n} [/tex]

[tex] y = \frac{3(6) + 2(1)}{3 + 2} [/tex]

[tex] y = \frac{18 + 2}{5} [/tex]

[tex] y = \frac{20}{5} [/tex]

[tex] y = 4 [/tex]

The coordinates of K = (8, 4)



Which angles are right?

Check all that apply.

A. GFE

B. MLK

C. EFH

D. KLJ

Answers

can you please add a picture?

Answer:

<MLK

<EFH

<KLJ

Step-by-step explanation:

Each Is At A Right Angle, I Just Answered This On My Quiz.

(3 + 5i) + (11 -7i) Write answer in standard form a +bi

Answers

Answer:

Step-by-step explanation:

3 + 11 + 5i - 7i

14 - 2i

Simplify the ratio 24/36

Answers

Answer:

2:3

Step-by-step explanation:

24:36

24÷12=2

36÷12=3

Answer=2:3

Answer:

2 : 3

Step-by-step explanation:

24/36 ?

[tex] \frac{24}{36} \div \frac{12}{12} \\ = \frac{24 \div 12}{36 \div 12} \\ = \frac{2}{3} [/tex]

2/3 = 2 : 3

Find the sum of the first 80 terms of the sequence. Show all work for full credit. 1, -3, -7, -11, ...

Answers

Answer:

-12960

Step-by-step explanation:

The formula for the sum of terms =

Sn = n/2[2a + (n - 1) d]

n = number of terms = 80

The given sequence =

1, -3, -7, -11, ...

a = First term = 1

d = common difference

= Second term - First term

= -3 - 1

= -4

Therefore, the sum of the first 80 terms:

S80 = 80/2[2 × 1 + (80 - 1)]-4

= 40[2 + 79]-4

= 40 × 81 × -4

= -12960

The sum of the first 80 terms = -12960

44. Find the total area of the shaded rectangles.
9
х
х
2

Answers

Answer:

(x² + 18) units²

Step-by-step explanation:

Area of a rectangle = l*w

There are two shaded rectangles found inside the large rectangle. Let us represent the smaller shaded one as Rectangle 1, the bigger shaded rectangle as Rectangle 2.

Below are the dimensions and area if each of them:

Rectangle 1 (small shaded rectangle):

l = x

w = x

Area = x * x = x² units²

Rectangle 2 (bigger shaded rectangle):

l = 9

w = 2

Area = 9*2 = 18 units²

Total area of the shaded rectangles = x² + 18 = (x² + 18) units²

What is the density of Basalt? Mass = 20g ; Volume = 6.47 cubic cm. Round
to TWO decimal places.

Answers

Answer:

3.09g/cm cubed

Step-by-step explanation:

Density = mass/volume = 20/6.47

How many at-bats did the player have?

Answers

Answer:

450

Step-by-step explanation:

17 full balls + (1/2+1/2)=1

18*25=450

Answer:

450 at - bats

Step-by-step explanation:

Home run = 50

Triples = 37.5

Doubles = 75

Singles = 125

walks = 62.5

Outs = 100

Total = 450

hopefully this helps you  :)

Pls mark me brainlest ;)

Donna arranges 32 tiles in equal rows, as shown below. Which expression
represents the number of tiles in each row?
32 x 4
32 + 4
32 : 4
32 - 4

Answers

32 x4 because you are multiplying four rows to make 32
32 x 4 because you are multiplying the rows

Round $537.307 to the nearest cent

Answers

Answer:

$531.31

round to the nearest cent is round to 2 decimal places

Answer:

537.31 hope this helps you out

The water level in a pool drops 8 iches in a day so what is the average level drop in each hour

Answers

Answer:

0

Step-by-step explanation:

becuse  8 is in a day and the only thing could be 0 becuse in a hour you might not get much in an hour cuz an day is 24 hours but there might be a chance to be 1 but its mostly 0.

Need help with 2-5 plsssss

Answers

Answer:

5) m∠DEF = 18

Step-by-step explanation:

I cant answer the rest because they require a protractor

Find the distance of segment AB

A(-7,6) B(4,-2)

Answers

Answer:

13.6

Step-by-step explanation:

Noah is shopping for new socks. He sees many different options. One bag has 12 socks for $9.99, another bag has 20
socks for $14.99, and a third bag with 10 socks for $19.99. Which is the best deal for socks?

Answers

Answer:

the bag with 20 socks for $14.99

Answer:

Second bag having 20 socks for $ 14.99 is the best deal.

Step-by-step explanation:

To find the best deal, you have to find the unit rate

First bag:

Unit rate = 9.99 ÷ 12 = $ 0.8325

Second bag:

unit rate = 14.99 ÷ 20 = $ 0.7495

Third bag:

Unit rate = 19.99 ÷ 10 = $ 1.999

Second bag having 20 socks for $ 14.99 is the best deal.

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