which expression is equivalent to (4 - 3i) + (-2 + 10i)?

A. 9i
B. -9i
C. 2+7i
D. 2-13i

Answers

Answer 1

Answer:

C. 2+7i

Step-by-step explanation:

(4 - 3i) + (-2 + 10i)

Combine like terms

4-2   -3i +10i

2    +7i

Answer 2

Answer: The answer is C, 2 + 7i

Step-by-step explanation:


Related Questions

there are 750 spectator in the stadium of which 420 are women and the rest are men​

Answers

Complete Question:

There are 750 spectator in the stadium of which 420 are women and the rest are men. What percent of the spectators are women?

Answer:

Percentage = 56%

Step-by-step explanation:

Given the following data;

Total number of people = 750

Number of women = 420

To find the percentage of women;

First of all, we would determine the number of male spectators (men);

Number of men = Total number of people - Number of women

Number of men = 750 - 420

Number of men = 330

Next, we find the percentage of women;

[tex] Percentage = \frac {420}{750} * 100 [/tex]

[tex] Percentage = \frac {42}{75} * 100 [/tex]

[tex] Percentage = 0.56 * 100 [/tex]

Percentage = 56%

Therefore, the percentage of the spectators that are women is 56%.

Solve:3x - 4 = 2x - 10

Answers

Solve for by simplifying both sides of the equation, then isolating the variable.

X = 6

Hope this helps!

Have a great day :)

Answer:

x=-6

Step-by-step explanation:

1. Move the variable to the left-hand side and change its sign

3x-4-2x=-10

2. Collect like terms

x=-10+4

-10+4= -6

A quantity P is an exponential function of time t. Use the given information about the function P = P0e^{kt} to find values for the parameters k and P0.
​P=40 when t=4 and P=50 when t=3.

Answers

Answer:

P = 40 x 4

= 160

P = 50 x 3

= 150

Write the missing power of 10 in each equation.

0.80 × [ ] = 8
[ ] × 0.002 = 20
0.04 × [ ]= 4
[ ]× 0.5 = 500

Answers

1. 10 or 10 to the first power
2. 10000 or 10 to the fourth power
3. 100 or 10 to the second power
4. 1000 or 10 to the third power

Find the value of x in each case:

Answers

Answer:

x = 19

Step-by-step explanation:

∠ YWX = ∠ ZYW = 2x ( alternate angles )

The sum of the 3 angles in Δ WXY = 180° , that is

3x - 5 + 2x + 90 = 180

5x + 85 = 180 ( subtract 85 from both sides )

5x = 95 ( divide both sides by 5 )

x = 19

76. In the diagram below, lines land mare
parallel. Both are intersected by
transversal t.
What is the value of x?

Answers

4x = 2x + 30 Alternate angles in parallel lines are equal
2x = 30
x = 15

A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.


The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.


The margin of error of the population proportion is found using half the range.


What is the interval estimate of the true population proportion?





(0.30,0.42)


(0.20,0.52)


(0.24,0.48)


(0.22,0.50)

Answers

Answer:

(0.30, 0.42)

Step-by-step explanation:

Given the sample proportion is = 0.36

Number of trials required for determining the margin of the error = 100

Sample size, n = 50

The point estimate = 0.36

The minimum sample proportion form the simulation = 0.28

The maximum sample proportion from the simulation = 0.40

Also the margin of the error of population proportion is found by using the half of the range.

Therefore, the interval estimate for the true population proportion is = (0.30, 0.42)

which number represents 4%​

Answers

Answer:

4

Step-by-step explanation:

What is the area of the triangle in centimeters squared?​

Answers

112 centimeters squared

Explanation:
The formula for area of a triangle is:
1/2 • base • height

REMEMBER, use the height that is perpendicular to the base. If not, your answer will be wrong

Use formula with given dimension of this triangle:
1/2 • 14 • 16 = 112

FINAL ANSWER WITH UNIT OF MEASURMENT:
112 centimeters squared

Have a nice day, hope this helps!

Which list of numbers are valid for both inequalities?
3
0
2
5
8
7
O -1, 0,1
O 0,1,2
0 -1,0, 1, 2
0 -3, -2,-1, 0, 1, 2, 3, 4

Answers

Answer:

-3, - 2, - 1, 0, 1, 2, 3, 4

Step-by-step explanation:

The blue line of the number line can have its inequality range written as :

Since both startibg and endpoints are shaded :

-1 ≤ x ≤ 4

The red line can also be written as :

Only the start is shaded:

-3 ≤ x < 2

Listing out the values :

Blue line :-1 ≤ x ≤ 4

-1, 0, 1, 2, 3, 4

The red line : -3 ≤ x < 2

-3, - 2, - 1, 0, 1, 2

Combining both values :

-3, - 2, - 1, 0, 1, 2, 3, 4

what are the domain and range of this function?

Answers

Answer:

domain: all real numbers

range: {y | y ≥ 0}

prove by factorization √16×81=√16×√81

Answers

Answer:

√16×81 = 4×9 or √1296 = 36

√16×√81 = 4×9 = 36

Step-by-step explanation:

√81×16

We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).

√81 = √3×3×3×3 = √9×9 = √9² = 9

√16 = √2×2×2×2 = √4×4 = √4² = 4

24 percent discount from 85 dallors

Answers

Answer: Purchase Price: $85.  Discount: (85 x 24)/100 = $20.40

Final Price:

85 - 20.40 = $64.60

Answer:

63.60, or 63.6, or 67,  how u round it

Step-by-step explanation:

Smartness

Simplify the following expression.

29.718 - 29.63

Answers

Answer:

0.88 is the correct answer

find the measure of one interior angle in a regular 23-gon

Answers

Answer: A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n - 2)180°, where n is the number of sides.

The measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees

How to calculate the sum of the interior angle of a regular polygon?

The formula which is used to calculate the sum of the angle of regular polygon is given by

sum of the interior angles = ( n - 2 ) × 180 degrees

Where,

n is the number of sides

According to the given question.

We have a regular polygon with 23 sides.

⇒ n = 23

Therefore,

The sum of the interior angles of the given regular polygon

= (23-2) × 180

= 3,780 degrees

So, the measure of one interior angle = [tex]\frac{3780}{23} = 164.3 degrees[/tex]

Hence, the measure of one interior angle of the given regular polygon with 23 sides is 164.3 degrees.

Find out more information about interior angle of a regular polygon here:

https://brainly.com/question/22408868

#SPJ3

Translate the sentence into an equation. The quotient of a number and 8 is 16. What is the solution to the equation? One-half 2 128 164

Answers

Answer:

128

Step-by-step explanation:

I did the math

Answer:

it's 2 :)

Step-by-step explanation:

quotient is a term used in division so you divide

16 divided by 8 is 2 <3

don't forget to say thanks if you got it right ! :)

in a class of 30 students, 5 have a brother and 23 have a sister. there are 2 students who have a brother and a sister. what is the probability that a student has a sister also has a brother

Answers

2/5

lmk if this helped :)

Answer:

2/23

Hope this helps!

Hi! Could someone check this questions for me and if I have anything wrong tell what I have wrong please? That would be highly appreciated!!

Answers

Answer:

Both are correct

I'm only checking the first page

Step-by-step explanation:

Answer:

Step-by-step explanation:

The 3rd page both are wrong the correct answers are 6 degrees C and Ice would form on the top of the lake like it does now.

The 4th page the bottom one is wrong the correct answer is -22.

Find the area of an equilateral triangle with apothem length 4 cm.
If necessary, write your answer in simplified radical form.

Answers

Step-by-step explanation:

Hey there!

According to the question;

Side (a) = 4cm

To find : area

Now;

[tex]area = \frac{ \sqrt{3} }{4} {(a)}^{2} [/tex]

[tex]or \: area = \frac{ \sqrt{3} }{4} ( {4)}^{2} [/tex]

[tex]area \: = 4 \sqrt{3} [/tex]

Therefore, area of triangle is 6.92 cm² or 4(3) cm².

Hope it helps!

Solve using the zero-factor proper (13x + 7)(6x - 7) = 0​

Answers

Answer:

x = -7/13 and x = 7/6

Step-by-step explanation:

Using the zero factor property, set each factor equal to zero, and solve for x:

13x + 7 = 0

13x = -7

x = -7/13

Solve the other factor:

6x - 7 = 0

6x = 7

x = 7/6

So, the solutions are x = -7/13 and x = 7/6

Answer is x=7/13 and x7/6

The product of 4 and the depth of the pool

Answers

Answer:

product means multiplication (×) so what ever is the depth of the pool is multiplied by 4

Step-by-step explanation:

what is the depth of the pool?

true or false m angle 5 is greater than m angle 8​

Answers

Answer:

True

Step-by-step explanation:

You can see that Angle 5 is slightly greater than 90°, so it is obtuse

Angle 8 is less than 90°, and is acute

Since obtuse angles are larger than acute angles, Angle 5 is greater than Angle 8.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

6x+2y=
6x+2y=
\,\,16
16
2x-2y=
2x−2y=
\,\,32
32

Answers

Answer:

x = 6, y = -8

Step-by-step explanation:

First we take the equations side by side and put them like this:

 6x + 2y = 16

+ 2x - 2y = 32

8x = 48

Then solve for x.

x = 6

Then insert x back into either equation

2(5) - 2y = 32

10 - 2y = 32

solve for y,

y = -10

One side of a REGULAR OCTAGON is 19 ft.
What is the PERIMETER of this octagon?
feet.
I

Answers

Perimeter: 19ft x 8 sides = 152ft

Explanation: Regular octagon means equivalent sides and more.

Answer:

152 ft.

Step-by-step explanation:

19*8 = 152

Find the volume of the composite solid. Round your answer to the nearest
tenth.

Answers

Answer:

452.4 in³

Step-by-step explanation:

Volume half sphere = 1/2 volume sphere

Volume sphere = 4/3πr²

Volume = 4/3*3.14*27             Radius = 1/2(6) .     3³ = 27

Volume ≈ 113.1

Volume Cylinder = Area circle x hieght

Area circle = πr²

Area circle = 3.14 * 9

Area circle = 28.26

Volume cylinder = 28.26 * 12 = 339.12

339.12 + 113.1 = 452.22

Because of rounding it would be ≈ 452.4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Which is the solution to the equation below? 4n+5=25-3n

Answers

Answer:

[tex]n = \frac{20}{7}[/tex]

Step-by-step explanation:

[tex]4n + 5 = 25 - 3n\\4n + 3n = 25 - 5 \\7n = 20\\\\n = \frac{20}{7}[/tex]

Answer:

n = 20/7

Step-by-step explanation:

4n+5=25-3n

Add 3n to each side

4n+3n+5=25-3n+3n

7n +5 = 25

Subtract 5 from each side

7n+5-5=25-5

7n = 20

Divide by 7

7n/7 = 20/7

n = 20/7

Please help someone! Very important!

Answers

Answer:

OH NO

Step-by-step explanation:

Step-by-step explanation:

oh srr, I'm Vietnamese and I don't know your

country's solution

but i think my answer is correct :((

The sum of four consecutive integers is -62. What is
the least of the four integers?

Answers

9514 1404 393

Answer:

  -17

Step-by-step explanation:

Let x represent the smallest of the integers. Then their sum is ...

  x +(x+1) +(x+2) +(x+3) = -62

  4x +6 = -62 . . . . . . . . . . . . . . . collect terms

  4x = -68 . . . . . . . . . .subtract 6

  x = -17 . . . . . . . divide by 4

The least of the four is -17.

D
76
21. In the last three basketball games,
Paula has scored 21, 25, and
15 points p. Which inequality does
not describe the numbers of points
she has scored?
Ap> 21
Bps 25
cp< 30
Dp 2 10

Answers

Answer:

A

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

Paula's 3 scores are greater than 15 and less than 26

p> 21 implies her score is greater than 21. this is wrong because there is a score of 15

someone asap

A small factory has 3 machines for producing protractors. The high speed machines produces 61% the protractors but 6% of its output is defective. The medium speed machine produces 24% of the protractors, of which 4%o are defective. The low speed machine, which has a defective rate of 2% produces the remainder.
{a) Draw a tree diagram.

(b) What is the probability of a protractor not being defective given it came from a low speed machine?

(c). Knowing that a protractor is defective, what ls the probability it came from the high speed machine?

Answers

It’s A because I did the test lmafo
Other Questions
There have been many cases of fire incident in your local government area.Write a letter nto the chairman of local government discussing the causes and the measures that can be taken to prevent the occurence of fire incidents. Noah has a points card for a movie theater. He receives 40 rewards points just for signing up. He earns 4.5 points for each visit to the movie theater. He needs at least 145 points for a free movie ticket.Which inequality can be used to determine v, the minimum number of visits Noahneeds to earn his first free movie ticket?Did How do the authors of the two articles address the same topic in these excerpts?A Article A highlights the quality of the sea otter's fur while Article B focuses on conservation efforts that have saved the sea otter in recent years.B Article A focuses on the characteristics of the sea otter's fur while Article B focuses on sea otter fur being one of the reasons the animal was hunted.C Article A includes historical facts about the significance of the sea otter's fur while Article B focuses on the different ways that the population has recovered.D Article A focuses on the sea otter's vanity over its fur while Article B focuses on human vanity to hunt and use sea otter fur for coats and clothing. Question 5 of 30What information can a scientist learn directly from a single fossil?A. The organism's shape and sizeB. How the organism is related to othersC. The life expectancy of similar organismsD. How many offspring the organism producedSUBMNT Help plz..And No links!! I repeat No links!! In 1863 the territory of New Mexico was divided in half and the western part b came the Arizona territory Please help! Quadratic equation Selecting missing puppies 1 # Select the dogs where Age is greater than 2 2 greater_than_2 = mpr [mpr. Age > 2] 3 print(greater_than_2) Let's return to our DataFrame of missing puppies, which is loaded as mpr. Let's select a few different rows to learn more about the other missing dogs. 5 # Select the dogs whose Status is equal to Still Missing 6 still_missing = mpr[mpr. Status == 'Still Missing'] 7 print (still_missing) Instructions 100 XP Select the dogs where Age is greater than 2. 9 # Select all dogs whose Dog Breed is not equal to Poodle 10 not-poodle = mpr [mpr.Dog Breed != 'Poodle'] 11 print(not_poodle) Select the dogs whose Status is equal to Still Missing. Select all dogs whose Dog Breed is not equal to Poodle. Run Code Submit Answer * Take Hint (-30 XP) IPython Shell Slides Incorrect Submission Did you correctly define the variable not_poodle ? Expected something different. # Select all dogs whose Dog Breed is not equal to Poodle not_poodle = mpr[mpr.Dog Breed != 'Poodle'] print(not_poodle) File "", line 10 not_poodle = mpr [mpr.Dog Breed != 'Poodle'] Did you find this feedback helpful? Yes x No SyntaxError: invalid syntax Write an equation for the total water usage, U, at the park this year in terms of x, the number of special events the park has hosted Capital market securities have short-term maturities with less than one year and therefore can be sold for cash quickly and easily.a) trueb) false i will mark brainliest please help me on this question! These four numbers are plotted on a number line: -2/3 5/8 -3/5 -1/2 Which is the correct ordering on the number line, from left to right? Find the 40th term of the arithmetic sequence with a = 150 and a common difference of d =-4.1.-62.63.-24.2 What is the solution to the inequality x2 + 5x 6? how did black people get into America CPU connect to matherbosrd is through_Dimm slots SicketPCI slotsCBU What is the role of family in the philosophy? For Confucianism, Daoism, and Legalism. In a certain video game, players earn bonus points after finishing alevel. The number of bonus points is based on how many seconds, t,it takes the player to finish the level. The game uses the expression-5.5 + 500+ 0.9t + (1 - 1.9t to determine the number of bonus points. .Zahara finishes a level in 201 seconds. How many bonus points does she earn? A long, straight metal rod has a radius of 5.75 cm and a charge per unit length of 33.3 nC/m. Find the electric field at the following distances from the axis of the rod, where distances are measured perpendicular to the rod's axis. find the value of x that makes ABCD a parrallelogram(i can't take pictures but i need it asap)angle 130 angle 5x angle 130