what is the different of the complex number ? (3+7i)-(-4-2i)

Answers

Answer 1

Answer:

7 + 9i

Step-by-step explanation:

Given

(3 + 7i) - 1(- 4 - 2i) ← distribute both parenthesis

= 3 + 7i + 4 + 2i ← collect like terms

= 7 + 9i

Answer 2

Answer:

7+9i

Step-by-step explanation:


Related Questions

show steps to rewrite 3x6/8 as the product of a unit fraction and a whole number

Answers

Answer:

The answer that is responded to this one is what you should get

Step-by-step explanation:

3 x 6/8= 3.9

Answer as a fraction : 3 9/10
Answer as a whole number : 4

Which type of transformation is shown in the graph below?
Please help
A.
dilation
B.
reflection
C.
rotation
D.
translation

Answers

Answer:

c

Step-by-step explanation:

c

How can I identify the shaded part of 100 grid as a fraction and a decimal?

Answers

Count the shaded squares and say there are 44 shaded that would be 44/100 or 11/25 as simplified and 0.44

To identify the shaded part of a 100 grid as a fraction, count the shaded squares; each represents 1%, making the denominator 100. The fraction formed can be simplified if possible, and converting it to a decimal involves dividing the numerator by the denominator.

To identify the shaded part of a 100 grid as a fraction and a decimal, you must first count the number of shaded squares. Since each square represents 1% of the total grid, the number of shaded squares can be directly written as a percent. For example, if 45 squares are shaded, the shaded part would represent 45%.

As a fraction, this is equal to 45/100, because the denominator should be 100 in order to represent a percent as a fraction.

To convert this fraction to a decimal, divide the numerator by the denominator which gives 0.45. If you have shaded half the grid, it means 50 squares are shaded out of 100. The fraction would therefore be 50/100, which simplifies to 1/2, and the decimal would be 0.50.

During halftime of a basketball ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched with an initial upward velocity of 78 feet per second. The hight of the t-shirt (h) in feet after t seconds is given by the function h=-16t^2+78t+5. How long will it take the​ T-shirt to reach its maximum​ height? What is the maximum​ height? What is its maximum height?

Answers

1. 2.25 seconds.

2. -72/2(-16)= 2.25. f(2.25) = -16(2.25)^2 + 72(2.25) = 86 feet. I hate questions like these, let the t-shirt be launched without having it be difficult lol. hope this helps though :)

x = -19 + 19 what is the value of the expression

Answers

Answer:

The answer is 0

Step-by-step explanation: The question can be rewritten to 19-19 so the answer would be 0

Answer:

here

x = -19 + 19

  = 0

the value of x is 0.

Step-by-step explanation:

for a different punch recipe, the equation,s=4c represents the number of cups of seltzer,s, that you need for,c, cups of cranberry juice. what is the constant of proportionality?

Answers

Answer:

4

Step-by-step explanation:

If two variables are proportional then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]    ...(i)

where, k is constant of proportionality.

The given equation is

[tex]s=4c[/tex]       ...(ii)

where,

s = number of cups of seltzer.

c = cups of cranberry juice.

On comparing (i) and (ii), we get

Independent variable: [tex]x=c[/tex]

Dependent variable: [tex]y=s[/tex]

Constant of proportionality: [tex]k=4[/tex]

Therefore, the constant of proportionality is 4.

Hello ya'll. I have a quick question to ask ya'll.
Question: Let be the middle number of three consecutive integers. Write an expression for the sum of these integers.
Sum of the integers = ___

Answers

Answer:

[tex]3n[/tex]

Step-by-step explanation:

If the initial number is n, one less than n is n - 1, and one more than n is n + 1. so we have:

[tex]n - 1 + n + n + 1=3n[/tex]

At first I thought this answer was too easy, so I tried for n is 6.

[tex]3*6=18\\5+6+7=18[/tex]

This is really cool! Hope this helps!

PLS HELP ILL MARK YOU BRAINLLIEST!!!!! Write down the first four terms of the sequence whose nth term is: 4n-2

Answers

Answer:

2 6 10 14

Explanation:

Nth term works by having n as the term's place in the sequence.

So the first term , n=1 and you work it out from there

Second term, n=2 and you work it out from there

And so on

So:

4×1 = 4 - 2 = 2

4×2 = 8 - 2 = 6

4×3 = 12 - 2 = 10

4×4 = 16 - 2 = 14

Which function is a translation of the parent absolute value function?
f(x) = 2[x]
f(x) = [x+6]
fx) = [X]
f(x) = -4[x]​

Answers

Answer:

[tex]f(x) = |x+6|[/tex]

Step-by-step explanation:

Let be [tex]f(x) = |x|[/tex] the parent absolute value function. A translation of such function has the form of [tex]f(x) = |x-k|[/tex], where [tex]k \in \mathbb{R}[/tex]. Then, the right choice is:

[tex]f(x) = |x+6|[/tex]

Three numbers that add up to 30​

Answers

Answer:

1+2+27=30

3+6+21=30

20+3+7=30

So many more, but here are a few.

Final answer:

To find three numbers that add up to 30, you can choose different combinations. For example, you could use 10, 10, and 10 or figures like 15, 10, and 5. The specific numbers can vary based on the criteria involved.

Explanation:

When dealing with numbers that add up to a specific value, there are many possible combinations depending on the criteria you use. For example, if you wish to find three different positive numbers that add up to 30, you could choose 10, 10, and 10. This is because each number is significant and can be repeated in this scenario. These would add up to 30, as 10+10+10 equals 30.

Alternatively, you could choose a variety of numbers such as 15, 10, and 5, which also add to 30. Here the expression is set up as 15 + 10 + 5. Another option could be three unit conversion factors like 12, 8, and 10. The method of finding three numbers that add up to a certain sum is an extension of practical problem-solving often used in daily life.

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Multiplication and division word problems
Leia is setting up 417 toy cars. Each
car needs 3 batteries to drive.
How many batteries does Leia need
for her cars?​

Answers

Answer:

417÷3=139 Batteries for all cars

Answer: 1,251 batteries

Step-by-step explanation: 417x3=b

417x3=1,251

An automobile insurance company claims that teenage drivers save on average $490 per year when compared to the same coverage from another company, with a standard deviation of $65 per year. Natalia is a teenager and a customer of this company and her average savings was $470 per year. What is the z-value for Natalia’s savings rounded to the nearest hundredth?
Question 1 options:

a)
The z-value is -0.90.
b)
The z-value is 0.90
c)
The z-value is 0.31.
d)
The z-value is -0.31.

Answers

Answer:

d) The z-value is -0.31

Step-by-step explanation:

-Given that Natalia's saving is $470,  mean claim amount is $490 and the standard deviation is $65

-Let Natalia's savings be X

#The z-value is calculated using the formula:

[tex]z=\frac{X-\mu}{\sigma}\\\\=\frac{470-490}{65}\\\\=-0.30\approx -0.31[/tex]

Hence, Natalia's z-value is -0.31

This image shows a square pyramid.
What is the surface area of this square
pyramid?

Answers

Answer:

A = a^2 + 2a * √((a^2)/4 + h^2)

Step-by-step explanation:

This is the overall formula because I don't see the attachment for any pyramid

The answer is 200 ft²

3x + y = 11 If you are given that y = x - 1, find the value of x

Answers

Answer:

x = 3 and y = 2

Step-by-step explanation:

I graphed both equations on the graph below.

If this answer is correct, please make me Brainliest!

Assume that 2 cards are drawn from a standard 52-card deck. Find the following probabilities.
a) Assume the cards are drawn without replacement. Find the probability of drawing 2 tens.
b) Assume the cards are drawn with replacement. Find the probability of drawing 2 tens.
a. The probability of drawing 2 tens without replacement is
(Simplify your answer.)
b. The probability of drawing 2 tens with replacement is
(Simplify your answer.)

Answers

Answer:

Step-by-step explanation:

WITHOUT replacement of first card drawn:

P(a 10 is drawn) = 13/52 = 1/4

P(the next draw is a 10) = 12/52 = 3/13

P(drawing two 10s without replacement of the first draw) = (1/4)(3/13) = 3/52

WITH replacement of first card:

P(two 10s are drawn) = P(first card is a 10)*P(first card is a 10) = (4/13)(4/13) =

16/169

Ms. Roth has made 200 headbands and is deciding what price to charge for them.
She knows that she will sell more if the price is lower. To estimate the number she can
expect to sell, she uses the function N defined as N(p) = 200 – 1.5p, where p is
the price in dollars.
Which choice describes a function, S(p), that models the total sales in dollars she can
expect?

Answers

Answer:

I THINK:

There will be 8 grams left after 36 minutes.

Step-by-step explanation:

A half-life is how long it takes for half of the amount to go away. in this case, we see that we have two half-life periods worth, which you can determine by dividing the total time by the half-life time.

36mins/16mins = 2 half lives.

now we can raise 1/2 to the power of how many half lives we have (2). then we multiply that by the amount in the sample.

(1/2)^2 * 36

1/4 * 36

8 grams

solve the proportional equation
5/12 = x/15

Answers

Answer: 6.25.

Step-by-step explanation:

Let's put your question into a proper proportional form, because it is a ratio that is equal.

[tex]\frac{5}{12} = \frac{x}{15}[/tex]

To solve proportions, you have to cross-multiply in the direction that has numbers, which is 5 and 15, then divide to 12.

[tex]5 * 15 / 12 = 6.25[/tex]

The answer you should get by doing this is 6.25.

Answer:

x=6.25

Step-by-step explanation:

Cross multiply

5/12=x/15

12*x=15*5

12x=75

Divide both sides by 12 to isolate the variable x

x=6.25

Or, multiply both sides by 15 to "reverse" the division being done to x

5/12=x/15

15*5/12=x/15*15

6.25=x

For number 2 I know the answer but I just need work so if you could please explain the work I’d be thankful

Answers

Answer:

Step-by-step explanation: when you take 521 and divide it by 4 you get 130.25, which is about 130, making you choose answer choice B. (lol i like your profile picture too!!)

2
Which statement explains why 49 is a perfect square?
O
49 can be multiplied by 49.
49 is equal to 7 plus 7
49 is between 36 and 64.
49 is equal to 7 times 7
O

Answers

Answer:

49 is equal to 7 times 7

Step-by-step explanation:

D. 49 is equal to 7 times 7

A square root is basically the opposite of a square. When you square something, you multiply that number by itself. Such as 25 being 5^2 since 5*5=25.

So when you square root, you find the number that multiplied by itself to get that number. For example, the square root of 36 is 6 since 6*6=36.

What's the sum of 3, and 46?
A.²6
C. /
D. 4/24

Answers

Answer:

um, 49....

Step-by-step explanation:

where is B and what happened to C

the library labels each book with a five-digit code to identify the books in their computer system. each code is 3 digits (0-9) followed by two letters. how many codes are possible?

Answers

Answer:

676000

Step-by-step explanation

3 digits of the 5-digit code are number 0-9 which is 10 numbers that could go into that spot, after the three digits there are two letters and because there are 26 letters in the alphabet you would multiply 10*10*10*26*26 which equals 676000

There are 676,000 possible codes.

What is Combination?

An arrangement of objects where the order in which the objects are selected does not matter.

Given that  library labels each book with a five-digit code to identify the books in their computer system.

Each code is 3 digits (0-9) followed by two letters

We need to find the possible number of codes.

There are 10 possible digits (0-9) for each of the first three positions, and 26 possible letters (A-Z) for each of the last two positions. Therefore, the total number of possible codes is:

10 x 10 x 10 x 26 x 26 = 676,000

Hence, there are 676,000 possible codes.

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Which of the following is the linear parent function?
A. F(x) = x
B. F(x) = x + 1
C. F(x) = 1/x
D. F(x) = x^2

Answers

Option A, F(x) = x, is the correct linear parent function because it represents a straight line with a slope of 1 that passes through the origin.

The linear parent function is the simplest form of a linear equation, which is described by a straight line with a slope of 1 and goes through the origin (0,0) on a coordinate plane. Among the options given, the correct answer is A. F(x) = x. This function represents a straight line that has a slope (gradient) of 1 and passes through the origin, making it the parent function for all linear equations. Options B, C, and D are not linear parent functions; B represents a linear function with a y-intercept of 1, C is a reciprocal function, and D is a quadratic function.

Hailey wants to buy a new pair of Vans. She found them on-line for $70. If the site is offering 20% off how much are the new Vans?

Answers

Answer:

$56

Step-by-step explanation:

Answer:

56 dollars

Step-by-step explanation:

20% is 14 dollars so 70 (the original price) minus 14 is 56

The number 50 is 5 times as many as 10?

Answers

Answer:

yes you are correct 50 is 5 times as many as 10 because 10 times 5 is 50 thank me later

Step-by-step explanation:

Final answer:

The statement is indeed correct: 50 is 5 times as many as 10. This understanding comes from the powers-of-ten notation system. We can also relate this to the concept of order of magnitude; the order of magnitude of 50 is 10², providing an approximation of its size in powers of ten.

Explanation:

The question is asking if the number 50 is 5 times as many as 10. In mathematics, if you multiply 10 by 5, you do get 50, so the statement is indeed correct. This concept is part of multiplication and understood by using the powers-of-ten notation system, which is based on increases of ten.

The powers-of-ten notation system is the basis of our counting system, where each digit's place is ten times greater than the digit to its right. This notation system is used because humans have ten fingers and started counting with them.

An interesting approach is to relate this to order of magnitude. The order of magnitude of 50 is 10² because it's closer to 10² (100) than 10³ (1000). The order of magnitude only changes when you pass the square root of 10 (~3.16). Since 5 is greater than 3.16, when you multiply it by 10, it surpasses 10² (100), giving the order of magnitude as 10³. This is slightly off from the actual value of 50, illustrating how order of magnitude provides an approximation, not an exact value.

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Evaluate the geometric series. Round to the nearest hundredth.
Please help me!!!

Answers

Answer:

32.59

That's what my calculator said

also I use acellus too Hi friend!

Answer:

32.59

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio )

4[tex](\frac{8}{9}) ^{n-1}[/tex] ← is the n th term expression

with a = 4 and r = [tex]\frac{8}{9}[/tex]

The sum of n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(1-r^n)}{1-r}[/tex], thus

[tex]S_{20}[/tex] = [tex]\frac{4((1-\frac{8}{9}) ^{20}) }{1-\frac{8}{9} }[/tex]

      = [tex]\frac{4(1-\frac{8^{20} }{9^{20} } )}{\frac{1}{9} }[/tex]

      = 36( 1 - 0.0948)

      = 36(0.905)

      = 32.59 ( to the nearest hundredth )

40) A real estate agent is selling her clients a modular prefab home. She presents the final blueprint to her clients so they can get an idea of the layout. The blueprint has a key that shows inch = 12 feet, and the actual length of the house is
marked as 96 feet. What is the relative length (r) of the house shown on the blueprint? Show work

Answers

Answer:

8 inches

Step-by-step explanation:

if the house is actually 96 feet then you would have to divide 96 by 12 since the question states that one inch equal 12 feet and by dividing you would come up with the length by inches for the blueprint.

96/12=8

Colleen Buys a movie for $20 pay you 7% sales tax. Her cousin brad lives in another state brad by the same movie for $22 and a pays 6% recent sales tax. who pays more sales tax? How much more?

Answers

Answer:

Colleen pays more. 7% of 20 is 1,40

Brad Pays less as 6% of 22 is 1.32

so a .08 difference

Step-by-step explanation:

Answer:

Colleen pays 8 cents more in taxes than Brad

Step-by-step explanation:

help me guys 64−(3y+8y+y)÷40=37

Answers

Answer: -118

Step-by-step explanation:

first multiply by 40. 37x 40 is 1480. No subtract 64 from both sides (1416). Multiply both sides by negative one to make the parentheses positive. -(1416)

on the inside that would be 12y so divide -1416 by 12 which is -118

I hope that's right!! :)

NOTE it isn't -118 sorry!!! I didn't see that in the original post

i hope that helps ! answer is y=90

Given h(x) = x2 – 5x + 7, find the following.
a. h(2)
b.h(-5)
c. h(-8)

Answers

Answer:

Step-by-step explanation:

hello :

h(x) = x² – 5x + 7

h(-2) = (-2)² – 5(-2) + 7 =4+10+7 =21

h(-5) = (-5)² – 5(-5) + 7= 25+25+7 =57

h(-8) = (-8)² – 5(-8) + 7 = 64+40+7=111

Write 0.46 as a fraction simplest form

Answers

Answer:

23/50

Step-by-step explanation:

.46

There are 2 numbers after the decimal so we put it over 1 plus 2 zero's

46/100

Divide the top and bottom by 2

46/2 = 23

100/2 = 50

23/50  

This is simplest form since 23 is prime and it does not go into 50 evenly

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