What is the sum of √-2 and √-18?


A) 4√2
B) 4√2i
C) 5√2
D) 5√2i

Answers

Answer 1

Answer: OPTION B

Step-by-step explanation:

First of all, you need to know the concept of imaginary number or i.

i (imaginary number)= √-1 ⇔ In real number world, √-1 will be undefined,  

                                               and thus this is called imaginary number

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

√-2=√2 × √-1

√2=√2√-1= i

√-2=√2× √-1

√-2=√2 × i

√-2= √2 i

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

√-18=√9 × √2 × √-1

√9=3 ⇒ This is a perfect square√2=√2√-1=i

√-18= √9 × √2 × √-1

√-18= 3 × √2 × i

√-18= 3√2 i

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

Addition in radical numbers is as usual as normal number. HOWEVER, only numbers that has the same radical (i.e 2√3 and 7√3) can combine.

 √-2 + √-18

=√2 i + 3√2 i

=4√2 i

Hope this helps!! :)

Please let me know if you have any question


Related Questions

I’m literally begging someone please help (just number 10. show work)

Answers

Answer:

[tex]h = \frac{2A}{b +B } [/tex]

Height= 16 feet

Step-by-step explanation:

Please see attached picture for full solution.

Henry is saving money for college. He earns $210 each week working part time after school and the weekends. Henry currently has $2,240 in savings. His parents put $100 in his savings account each week and he saves one-third of his paycheck each week. Which expression represents the situation? (n represents the number of weeks) A) 2,240 + 170n B) 2,240 + 310n C) 2,240 + 210n + 100n/ 3 D) 2,240 + 210n + 100n/ 3

Answers

Answer:

2,240 + 210n + 100n/ 3 (C).

Step-by-step explanation:

What he has in his account ($2,240) is added to what he makes each week ($210) multiplied by number of weeks (n), then added to the money his parents give him every week ($100) multiplied by the number of weeks (n) divided by one-third (⅓) of the money he saves from it.

Solve this, please Thanks

Answers

Answer:

i believe it’s C 80 %sure

Step-by-step explanation:

solve the equation for x. x/3 = (2x + 3)/7A. B. 2 C. 3 D. 3/7 E. -3

Answers

Answer:

x = 9

Step-by-step explanation:

[tex] \frac{x}{3} = \frac{2x + 3}{7} [/tex]

Cross multiply

That's

7x = 3( 2x + 3)

Multiply the terms

That's

7x = 6x + 9

Subtract 6x from both sides

We have

7x - 6x = 6x - 6x + 9

Simplify

We have the final answer as

x = 9

Hope this helps you

Solve 5 vx - 6 = -20
O x= -10
O x = 10
O x = 22
No solution

Answers

Answer:

It is a hyperbole.

Step-by-step explanation:

5 v x - 6 = -20

v x = -14/5

v≠0 , x = -14/(5 v)

v = -14/(5 x)

Substitute and evaluate: x = 8, y = 6, m = 3, p = -1 , n = 1


4x – 2m6. 5y + 8p

Answers

Answer:

-4,22

Step-by-step explanation:

x = 8, y = 6, m = 3, p = -1 , n = 1

4x – 2m6. 5y + 8p

4 x 8 - 2 x 3 x 6

32- 2 x 3 x 6

32-36

-4

5 x 6 + 8 x -1

30 + 8 x (-1)

30-8

22

-6(-0.05) (-0.4). What is the answer?

Answers

Answer: i got 0 i dunno if my math wrong sorry if wrong

Step-by-step explanation:

Answer:

- 0.12!

Step-by-step explanation:

hope this helps i worked it out l, so if its wrong please tell me! ㋛︎

Ryan has a collection of 220 baseball cards he letshis brother have 1/4 of his collection until 20% of his collection to the baseball card shop she takes 15 cards to school to give his friend how many baseball cards remaining Ryan's collection ​

Answers

Stu had quite a collection of baseball cards. One day he decided to give half of them to his brother Seth. Then he gave one-third of what he had left to a friend. Then he gave half of what was left to another friend. Stu now has 50 baseball cards. How many did he start with? It seems that I should work

let Stu have x cards

he gave half to seth

so he had x/2 cards

He had x/2 he gave 1/3 of x/2 to a friend

 

=x/6.

Now he had x/2 - x/6 = x/3 with him balance

1/2 of x/3 he gave to another friend =x/6

Balance he had was x/3 - x/6 = x/6

x/6 = 50

multiply by 6

x= 300

Answer:

Now he had x/2 - x/6 = x/3 with him balance

1/2 of x/3 he gave to another friend =x/6

Balance he had was x/3 - x/6 = x/6

x/6 = 50

multiply by 6

x= 300

Step-by-step explanation:

an apple orchard sells apples in a bags of 10. the orchard sold a total of 20,430 apples in one day. how many bags of apples was it

Answers

Answer:

2043

Step-by-step explanation:

you divide 20430 by 10 and you get your answer

WILL GIVE BRAINLET !!

2/6 + - 5/12 ( show how u get the answer )

Answers

Answer:

[tex]-\frac{1}{12}[/tex]

Step-by-step explanation:

So we have the expression:

[tex]\frac{2}{6}-\frac{5}{12}[/tex]

To subtract, we want to have a common denominator. So, let's find a common denominator by using the LCM.

The LCM of 6 and 12 is 12.

Since the second term is already 12, let's multiply the first term by 2 to get its denominator to be 12:

[tex]=(\frac{2}{2})\frac{2}{6}-\frac{5}{12}[/tex]

Multiply:

[tex]=\frac{4}{12}-\frac{5}{12}[/tex]

Now, we can combine the fractions:

[tex]=\frac{4-5}{12}[/tex]

Subtract:

[tex]=\frac{-1}{12}[/tex]

And we are done!

The two box plots summarize the number of hours spent in the weight room for all the players on the football team
for two different high schools. Which of the statements must be true about the distribution of data represented in the
boxplats?

Answers

Answer:

B. C. D are true, A. is false

Step-by-step explanation:

The question is attached

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

Answer options:

A. Players at school 1 typically spent more time in the weight room than players at school 2

False, as per plot boxes up to 75% of players from school 1 spend up to 10 hours but up to 75% of players from school 2 spend up to 12 hours in the weight room

B. The middle half of the data for school 1 has more variability than the middle half of the data for school 2

True. 4 hours variation for school 1 vs 3 hours variation for school 2

C. The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both schools are equal

True as it is 8 hours for school 1 and 9 hours for school 2

D. The total number of hours spent in the weight room for players at school 2 is greater than the total number of hours for players at school 1

True. Taking into account a sum of 5 numbers of the plot box. For School 1 it is: (3+4+8+10+16)= 41 and for school 2 it is: (3+6+9+12+14) = 44. Totals will have similar ratio.

Need help fast!!!! Pls to

Answers

Here are the answers
Questions 1-6 are answered on here

8 to the power of 8 = ?. (BOOT) To the power of three = 27 WHAT IS THE BOOTS VALUE?

WILL GIVE FIVE STAR ANSWER!!!!!!!!!!!!!!!!!!

Answers

Answer:

8 to the power of 8 is 16777216. 3 to the power of 3 is 27. 3 is the boots value. i think.

Step-by-step explanation:

8 to the power of 8 would be 8^8

which phrase describes an unknown or changeable quantity

Answers

The number of colors on the page, it’s doesn’t specify the number.

You have $16 and a coupon for a $5 discount at a local
supermarket. A bag of chips costs $2.50. How many
bags of chips can you buy?

Answers

8 bags of chips total

A non-profit organization is having a couple’s fundraiser. The banquet hall will only hold 250 people. The President, Vice-president, two volunteers, and a guess speaker will be working the event. How many couples will be able to attend the banquet? (Pls help me solve the equation)

Answers

Answer: 122
Explanation: 250 - 5 = 245
(The 5 comes from the president, Vice President, two volunteers, and guess speaker)
245/2 = 122.5
Half a couple cannot attend so the answer would be 122 couples can attend

What is the x-value in the solution to this system of linear equations? 2x − y = 11 x + 3y = −5

Answers

Answer:

x = 4

Step-by-step explanation:

Given the 2 equations

2x - y = 11 → (1)

x + 3y = - 5 → (2)

Multiply (1) by 3 and add to (2) to eliminate the y- term

6x - 3y = 33 → (3)

Add (2) and (3) term by term to eliminate y, that is

7x = 28 ( divide both sides by 7 )

x = 4

Answer:

x-4

Step-by-step explanation:

2 *p2 + 3s for p = 3 and s = 11

Answers

Answer:

51

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

2p² + 3s

Step 2: Define variables

p = 3

s = 11

Step 3: Replace variables

2(3)² + 3(11)

Step 4: Evaluate

2(9) + 33

18 + 33

51

Which statement describes how the graph of a function h(x) and its inverse h^-1(x) are related

Answers

Answer:

B

Step-by-step explanation:

did test got it right

Answer:

pretty sure its B

Step-by-step explanation:

Calculate f(4) for each function below.

Answers

Answer:

f (4) = 3(4) - 12

Step-by-step explanation:

if x = 4 just substitute the x for the 4 .

f(x) = 3x - 12

f(4) = 3 (4) - 12

f(4) = 12 - 12

and that cancels itself out.

It's a staple of American school lunches: peanut butter sandwiches (usually with jelly, too). The average American child will eat 1500 peanut butter sandwiches by the time she graduates from high school! (On average, that's one sandwich every four days.) It takes 850 peanuts to make an 18-oz jar of peanut butter, and an average sandwich has two ounces of peanut butter on it. How many peanuts will be needed to make all of the sandwiches a child will eat by graduation?

Answers

Answer:

The number of peanuts that will be needed to make all the sandwiches a child will eat by graduation  is approximately 141,667 peanuts

Step-by-step explanation:

The number of peanut butter sandwiches that an average American child will eat by the time she graduates from high school = 1500 peanut butter sandwiches

The number of sandwich taken every four days = 1 sandwich

The number of peanuts required to make 18-oz jar of peanut butter = 850 peanuts

The amount of peanut butter in an average sandwich = Two ounces

Therefore, we have by the time of graduation;

Each American child will have taken 1500 sandwiches

The 1500 sandwiches will have = 1500 × 2 ounce = 3,000 ounces of peanut butter

The number of 18-oz jars of peanut butter that will contain up to 3000-oz of peanut butter = 3000-oz/(18-oz) = 166.67 Jars

The number of peanuts required to make the 166.67 Jars of peanut butter = 850 peanuts/jar ×  166.67 Jars = 141666.67 ≈ 141,667 peanuts

The number of peanuts that will be needed to make all the sandwiches a child will eat by graduation  ≈ 141,667 peanuts.

Dinner costs $30 and you
want to leave a 14% tip.
How much money should
you leave as a tip?

Answers

Answer:How much tip do you leave for $30?

Tip on $30

Subtotal 30.00

15% Tip 4.50

Total 34.50

Step-by-step explanation:

A football team lost 5 yards on each of 3 plays.Explain how you could use a number line to find the teams change in field position after 3 plays.Then find and interpret the change in position

Answers

Answer:

Kindly check explanation and attached picture

Step-by-step explanation:

Given that:

A football team lost 5 yards on each of 3 plays

Using a number line we could show the loss in yard after each play. With a loss of 5 yards after each play, there will be a total of:

(Number of plays * yards lost) = (3 * 5) = 15 yards

The attached picture shows a number line moving a distance of 5 yards to the left ( negative direction) after each play after which it arrives at a total loss of 15 yards after the third play.

Please help me on this one fassttt

Answers

Answer:

Step-by-step explanation:

1st, 3rd and 4th are the choices

The data set gives the number of bottles filled by each of the workers in a bottling plant in one day. {36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

Answers

Answer:

The best measure of center is median = 37.50.

Step-by-step explanation:

The complete question is:

The data set gives the number of bottles filled by each of the workers in a bottling plant in one day.

{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

The best measure of center for this data set is the , and its value expressed up to one decimal place is?

Solution:

The three measures of center are:

MeanMedianMode

The mean is the average value of the data set and uses all the values of the data set.

The median is the middle value of the data set.

Mode is the value of the data st with the highest frequency or number of occurrence.

Compute the mean, median and mode of the data set provided as follows:

[tex]\text{Mean}=\frac{1}{n}\sum X=\frac{1}{14}\times [36+18+....+72+29]=40.57[/tex]

So, the mean is 40.57.

The data set in ascending order is:

{16 , 18 , 28 , 29 , 35 , 36 , 37 , 38 , 40 , 41 , 44 , 66 , 68 , 72}

There are 14 values in the data set. That is an even data set.

The median for an even data set is the average of the middle two values.

The middle two values are: 37 , 38

Average of {37 , 38} = [tex]\frac{37+38}{2}=37.50[/tex]

So, the median is 37.50.

None of the values are repeating itself. Thus, the data does not have a mode.

For the provided data:

Mean > Median

Implying that the data set is right-skewed.

For a skewed distribution or data set the median is the measure of center.

Thus, the best measure of center is median = 37.50.

The sum of twice a number and 7 is -19

Answers

Answer:

The number will be -13

Step-by-step explanation:

Let the no. be x

Its twice will be = 2x

According to the question ,

[tex]2x + 7 = -19\\=> 2x = -19 - 7 = -26\\=> x = \frac{- 26}{2} = - 13[/tex]

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

The value of the number is -13.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The sum of twice a number and 7 is -19.

Let the number be M.

Now,

2M + 7 = -19

We will solve for M.

2M + 7 = -19

Subtract 7 on both sides.

2M + 7 - 7 = - 19 - 7

2M = -19 - 7

2M = -26

Divide both sides by 2.

M = -26/2

M = -13

We can cross-check.

2M + 7 = -19

2 (-13) + 7 = -19

-26 + 7 = -19

-19 = -19

Proved

Thus.,

The value of the number is -13.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

two numbers are in the ratio 5:3.if they deffer by 18,what are the numbers?

Answers

Answer:

let common ratio between them be x

So, 5x,3x

5x-3x=18

2x=18

2x/2=18/2

x=9

Step-by-step explanation:

I hope it helps you☺️

If yes, do mark my answer as brainliest

solve when x=3
36x-6+7x•2x

Answers

Answer:

228

Step-by-step explanation:

We just have to plug in x. So:

36(3)-6+7(3)*2(3)

Simplify:

108-6+21*6

108-6+126

102+126

228

Answer:

228

Step-by-step explanation:

Insert the given value of x into the expression:

[tex]36(3)-6+7(3)*2(3)[/tex]

Simplify the multiplication:

[tex]108-6+21*6[/tex]

Follow the order of operations using PEMDAS:

[tex]108-6+126\\\\102+126\\\\228[/tex]

:Done

Parentheses  ()

Exponents      [tex]a^x[/tex]

Multiplication and Division left to right   × ÷

Addition and Subtraction left to right     + -

-9(x - 3)

(Distributive property)

Answers

Answer:

-9x+27

Step-by-step explanation:

Answer: -9x+27
Explain: -9•x = -9x
-9•-3= 27 (two negative makes one positive )

79,000 people live in a circular region with a population density of 513 people per square mile. What is the radius of the region

Answers

Answer:

step by step

Step-by-step explanation:

the answer is 7

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