Write an equivalent expression for each operation.
(3 + 2i) + (4 + 5i)
Help me plz ASAP

Write An Equivalent Expression For Each Operation.(3 + 2i) + (4 + 5i)Help Me Plz ASAP

Answers

Answer 1

Answer:

The equivalent expression is [tex]7(1+i)[/tex]

Step-by-step explanation:

Additional of complex numbers:

When we add complex numbers, we add both it's real parts and imaginary parts.

In this question:

[tex](3 + 2i) + (4 + 5i) = 3 + 4 + (2+5)i = 7 + 7i = 7(1+i)[/tex]

The equivalent expression is [tex]7(1+i)[/tex]


Related Questions

Observa la siguiente tabla que muestra los precios de un libro de cuentos y sus
respectivos descuentos en cuatro librerías.
Libreria

Answers

Answer:

No conozco este pero puedo ayudarte con otros

Step-by-step explanation:

Based on the table given, the bookstore that discounts more pesos from the original price is Leer es saber.

Which bookstore has the highest discount?

Discount from El cuentacuentos:

= 100 x 20%

= $20

Discount from Leer es saber:

= 125 x 25%

= $31.25

Discount from El librote:

= 80 x 5%

= $4.00

Discount from Imagina:

= 90 x 10%

= $9

The highest is therefore Leer es saber.

The rest of the question is:

Qué librería descuenta más pesos del precio original?

Find out more on discounts at https://brainly.com/question/1548141.

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ng 20-21
POSSIBLE POINTS: 10
In the school store, you can buy 20 calculators for $120. You want to buy 5 calculators. The table below represents the cost of different numbers of
calculators. Complete the table and explain the mathematical process you used to determine the cost of 5 calculators.

Answers

you would spend $30

Step-by-step explanation:

if 20 calculator cost 120 then you would divide 20 by 120 which would give you 6 dollars per calculator then you would multiply that by 5 which would give you a $30 for five calculators.

Answer:

where is the table?

I am just telling you how to get the cost of 5 calculators...

Step-by-step explanation:

Cost of 20 cal.=$120

Cost of 1 cal.=120/20

So,

cost of 5 calculators=

120/20*5

=$30

Hope it helps you

What is f(3) for the function f(x)=6x+5?

Answers

Answer:

23

Step-by-step explanation:

Which is worked out correctly ?​

Answers

Answer:

choice 2) 1/5 x 3/15 = 3/75 = 1/25

Step-by-step explanation:

Been stuck on this question for 20 minutes, can someone please help.

Answers

I'm sorry m8 the only options I can give you is life or death. also can u give me brainliest many thank xoxo

Which gives an equation for the line perpendicular to y = 2/3x + 1 that contains (0, 2) * O y = 3/2x + 2 O y = -3/2x + 2 O y = 3/2x-2 O y = -3/2x-2​

Answers

Answer:

[tex]y = -\frac{3}{2}x + 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(value of y when x = 0).

If two lines are perpendicular, the multiplication of their slopes is -1.

Contains (0, 2)

This means that [tex]b = 2[/tex]. So

[tex]y = mx + 2[/tex]

Finding the slope:

Perpendicular to y = 2/3x + 1 means that:

[tex]\frac{2m}{3} = -1[/tex]

[tex]2m = -3[/tex]

[tex]m = -\frac{3}{2}[/tex]

So

[tex]y = -\frac{3}{2}x + 2[/tex]

f(x) = -22 + x + 14
Find f(2)

Answers

Answer:

sln

f(x) =-22+x+14 put 2 in x

f(2)=-22+2+14

f(2) =38

What is the final value?
Initial value: 170
Increase: 8%

Answers

Answer:

183.6

Step-by-step explanation:

170, percentage increased by 8% (percent) of its value = 183.6

Answer:

183.6

Step-by-step explanation:

170 divided by 100 = 1.7 multiplied by 8 = 13.6 + 170 = 183.6

Can someone please help!!!

Answers

Answer:

I think is the 3rd one but I am not sure

A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 30% of onenight visitors buy a unit, and 20% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? A one-night visit? A two-night visit?

Answers

Answer:

0.087 = 8.7% probability that this person made a day visit.

0.652 = 65.2% probability that this person made a one-night visit.

0.261 = 26.1% probability that this person made a two-night visit.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It 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.

In this question:

Event A: Made a purchase.

Probability of making a purchase:

10% of 20%(day visit)

30% of 50%(one night)

20% of 30%(two night).

So

[tex]p = 0.1*0.2 + 0.3*0.5 + 0.2*0.3 = 0.23[/tex]

How likely is it that this person made a day visit?

Here event B is a day visit.

10% of 20% is the percentage of purchases and day visit. So

[tex]P(A \cap B) = 0.1*0.2 = 0.02[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.23} = 0.087[/tex]

0.087 = 8.7% probability that this person made a day visit.

A one-night visit?

Event B is a one night visit.

The percentage of both(one night visit and purchase) is 30% of 50%. So

[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.23} = 0.652[/tex]

0.652 = 65.2% probability that this person made a one-night visit.

A two-night visit?

Event B is a two night visit.

The percentage of both(two night visit and purchase) is 20% of 30%. So

[tex]P(A \cap B) = 0.2*0.3 = 0.06[/tex]

Then

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.23} = 0.261[/tex]

0.261 = 26.1% probability that this person made a two-night visit.

1 1/18 + 3 1/18 + 1 2/9 + 1 2/9

Answers

Answer:

6.55555555556

Step-by-step explanation:

Answer:

6 10/18 i think

Simplified is 6 5/9

improper fraction is 118/18

Step-by-step explanation:

Tim spent $12.90 on a jacket and $8.45 on pants, and $13.32 on a shirt. He
went to 2 shops. In total, how much money did Tim spend on clothing?

Answers

Answer:

he spent $34.67 that is the answer

A bank account pays 0.5% monthly interest. If $500 is put in the account, what will the balance be at the end of one year, assuming no additional deposits or withdrawals are made? Do not include units ($) in your answer.

Answers

The balance at the end of one years is; $502.5. The equation that that represents the balance in the account is $500 x (1.005)^1

What will be the balance of the account?

The amount of money in the bank account would grow at an exponential rate. then the formula for calculating future value:

FV = P (1 + r)^nm

Where:

FV = Future value

P = Present value

R = interest rate

N = number of years

We are given that bank account pays 0.5% monthly interest. If $500 is put in the account, it will the balance be at the end of one year,

$500 x (1 + 0.5/100)^1

$500 x (1.005)^1

= $502.5

To learn more about future value, please check: brainly.com/question/18760477

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Answer: $530.84

Step-by-step explanation: The principal is $500 with 0.5% added MONTHLY. One year has 12 months so we must calculate the interest for 12 months.


$500(1.005)^12 = $530.838 which rounds to $530.84

If M= {m, a,t} how many subsets of M are there?

Answers

Answer:

8 {m},{a},{t},{m,a},{m,t},{a,t},{m,a,t},{}

Which of the following is the solution to the equation 25(z + 4) = 125?

Answers

z=1 ..................

PLZZZ HELP ME I DON'T GET THIS

Answers

Question: 6(10+z+3)

Step 1: multiply 6 to the 10
6x10=60

Step 2: multiply 6 to the z
6xz= 6z

Step 3: multiply 6 to the 3
6x3=18

Step 4: add the products (solutions) together:
60+6z+18= 78+6z (they are not like terms so we can’t add them together.

I hope this helps and gives you a clear idea of how to do these types of problems.
Let me know if you have any other questions.
Good Luck!

(A Brainliest would be very appreciated! ❤️)

Claim: Is Juan correct ??


Evidence : Show you work


This is geometryyyy(similarity)

Can you help me plz

Answers

He is correct
15/5 = 18/6 is true,
they are also the same shape, just a smaller version? I have no idea how to phrase it but the triangles are similar

The relationship is “hours multiplied by
equals the number of dogs.”

Answers

Answer:

3

Step-by-step explanation:

Answer:

The relationship is “hours multiplied by  

3

equals the number of dogs.”

Step-by-step explanation:

Here is some record-keeping from a coffee shop about their paper cups. Cups are delivered 2,000 at a time. How many paper cups are left at the end of the day on Wednesday?

Answers

Answer:

1748

Step-by-step explanation:

Tuesday + Wednesday - Monday

1748 is the correct answer

Every square is a rhombus.

True
False

Answers

Answer:

false

a rhombus only has 4 equilateral sides and a square has 4 equilateral sides and all interior angles are right angles therefore that question is false

false, that is not true

Floyd Electric is fabricating flanges for a new electrical motor. The flange is to be 25 millimeters in diameter with an upper tolerance limit of 26.5 millimeters and a lower tolerance limit of 23.5 millimeters. Bill Floyd took a sample consisting of ten flanges, measured the diameter and recorded the observations in the table. He has heard discussion of 6 sigma in the business news recently and would like to join the club. What percentage decrease in process standard deviation would be required for Floyd Electric to achieve 6-sigma process capability? Assume that his process mean remains where it is.
A) 36%
B) 40%
C) 46%
D) 58%

Answers

This question is incomplete, the missing table is uploaded along this answer below.

Answer:

percentage of age reduction is 40

Option B) 40% is the correct answer

Step-by-step explanation:

Given the data in the question;

from the table in the image below;

sample x = 25.69 , 25.58 , 24.78 , 24.94 , 24.87 , 24.63 , 25.70 , 25.52 , 24.95 , 24.91

mean = ∑x/n

where n is sample size

= (25.69  + 25.58  +24.78  + 24.94  + 24.87  + 24.63  + 25.70  + 25.52  +24.95 ) / 10

= 251.57 / 10

mean u = 25.157

so;

S/N    Sample (X)       Mean (u)       (X-U)²

1            25.69              25.157      0.284089

2           25.58              25.157      0.178929

3           24.78              25.157       0.142129

4           24.94              25.157       0.047089

5           24.87              25.157       0.082369

6           24.63              25.157       0.277729

7           25.7                 25.157       0.294849

8           25.52              25.157       0.131769

9           24.95              25.157        0.042849

10          24.91               25.157       0.061009

Total     251.57                               1.54281

Mean  25.157

Sample Variance = ∑(x-u)²/n-1 = 1.54281 / (10 - 1) = 1.54281 / 9 = 0.1714

Standard deviation STD1 = √ (variance) = √0.1714 = 0.414

now, for 6-sigma capability, Cpk = 2

Cpk = min of ( USL - mean ) / 3×STD), (Mean - LSL) / 3×STD

since our mean is centered between USL and LSL;

Cpk = ( 26.5 - 25 ) / 3×STD2

we substitute

2 = ( 26.5 - 25 ) / 3×STD2

6STD2 = 1.5

STD2 =  1.5 / 6

STD2 = 0.25

so current standard deviation STD1 = 0.414

required standard deviation for 6-sigma process STD2 = 0.25

so percentage of age reduction will be;

⇒ ( 0.414 - 0.25 ) 0.414 = 0.164 / 0.414 = 0.396 ≈ 0.4

⇒ 0.4 × 100 = 40%

Therefore, percentage of age reduction is 40

Option B) 40% is the correct answer

The situation is as follows: Smart phones have changed the world and how we spend our time. A group of researchers at BYU want to estimate the mean daily number of minutes that BYU students spend on their phones. In fall 2019, they took a random sample of 430 BYU students and found that on average, students spend 312 minutes on their phones with a standard deviation of 54 minutes per day. The plot of the sample data showed no extreme skewness or outliers. Calculate a 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019. Do not round off in the intermediate steps, only the final answer should be rounded off to two decimal places.

Answers

Answer:

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

Step-by-step explanation:

Confidence interval normal

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.054.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.054\frac{54}{\sqrt{430}} = 5.35[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 312 - 5.35 = 306.65 minutes

The upper end of the interval is the sample mean added to M. So it is 312 + 5.35 = 317.35 minutes

The 96% confidence interval estimate for the mean daily number of minutes that BYU students spend on their phones in fall 2019 is between 306.65 minutes and 317.35 minutes.

What is the value of x in the following triangle?

Answers

Answer:

x=-10/3

Step-by-step explanation:

Answer: x = 17

Step-by-step explanation:

Triangle angle sum theorem states the three interior angles of a triangle sum to 180 degrees. Add all of the angles together and set equal to 180 to solve for x.

(3x)+(6x+10)+x= 180. Combine like terms.

10x + 10= 180. Subtract 10 from both sides.

10x = 170. Divide both sides by 10.

X = 17

At a scrapbooking party, guests brought a certain number of photographs to use, based on
how many pages they will be assembling. Ellie plans to assemble 4 small pages and 7 large
pages and brought a total of 22 photographs to use. Bridgette brought 30 photographs,
which is enough to assemble 8 small pages and 7 large pages. Assuming that the number of
photographs on a page remains constant, how many photographs fit on a small page and a
large page?
A small page can fit
photographs, and a large one can fit
photographs.

Answers

Answer:

A small page can fit 2 photographs, and a large on can fit 2 photographs.

Step-by-step explanation:

Let the number of photographs on the small page be represented by m and that of large one by n.

Since the number of photographs on a page remains constant, then;

4m + 7n = 22 ........... 1

8m + 7n = 30 .......... 2

Multiply equation 1 by 2, and 2 by 1 to have;

8m + 14n = 44 ....... 3

8m + 7n = 30 ......... 4

subtract equation 4 from 3,

7n = 14

n = 2

Substitute the value of n in equation 1

4m + 7(2) = 22

4m + 14 = 22

4m = 8

m = 2

m = 2, n = 2

Therefore, a small page can fit 2 photographs, and a large on can fit 2 photographs so that the number of photographs n a page is constant.

3n + 2 + 5 = 4
NEED ASAP

Answers

Step-by-step explanation:

given

3n + 2 + 5 = 4

3n + 7 = 4

3n = 4 - 7

3n = - 3

n = - 3 / 3

n = -1

Hope it will help :)❤

10 points!! Will mark brainliest. No question just tell me more about Area of Composite Figures and how to find it. I will report If answer is unrelated.

Answers

Answer:

To find the area of a composite figure, separate the figure into simpler shapes whose area can be found. Then add the areas together. Be sure than none of the simpler figures have overlapping areas. To calculate the area of a composite shape you must divide the shape into rectangles, triangles or other shapes you can find the area of and then add the areas back together. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.

help help help help help pls​

Answers

Answer:

3: 2 because for every 4 men there was 1 women so 4 + 1 = 5 and x 2 = 10 so thats the number of adults and since we multiplied by 2 we have to women

the sum of the ages of tracy and her mother is 60 if tracys present age is y years write a linear expression for her mothers age after 5 years​

Answers

Answer:

Step-by-step explanation:

m = 60-y

m+5 = 65-y

carolette is making necklace's in blue and orange her ratio of blue beads to orange beads are 3 to 2 how many beads will carolette need for a necklace of 60 beads

Answers

Answer:

Carlotta needs 24 orange beads for her necklace.

Step-by-step explanation:

For each necklace, the ratio of blue beads to orange beads is 3 to 2. or 3:2

Total beads given to make a necklace is = 60

Let the number of orange beads be = x

The ratio is 2 orange beads out of 5 total beads

So, we can represent the ratio as:

x=24

Hence, Carlotta needs 24 orange beads for her necklace.

Blue beads needed =  

We can also check the ratio for blue beads to orange beads:

Divide by 4, we get

Divide by 3, we get

 ...... (the given ratio)

Therefore, Carlotta needs 24 orange beads for her necklace

If the slope between the points (-5,7) and (4,x) is 1, then
what is the value of x?

Answers

9514 1404 393

Answer:

  16

Step-by-step explanation:

The equation of a line with slope m=1 through the point (h, k) = (-5, 7) will be ...

  y -k = m(x -h)

  y -7 = x +5

  y = x +12

Then for x = 4, the value of y is ...

  y = 4 +12 = 16

The point is (4, x) = (4, 16), so x = 16.

Answer:

16

Step-by-step explanation:

Given that the slope of the line is 1 . And it passes through the points (-5,7) and (4,x) .We know that slope is difference of ordinate by difference of abssica . So that ,

[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies 1 =\dfrac{ 7-x}{-5-4} \\\\\implies 1 \times -9 = 7-x \\\\\implies -9 -7 = -x \\\\\implies \underline{\underline{ x = 16 }}[/tex]

Hence the required answer is 16 .

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