John states that the product of two real numbers is a real number. Extending this to imaginary numbers John states that the product of two imaginary numbers must be imaginary. Is his statement correct?

I am having a hard time with imaginary numbers,please help.

Answers

Answer 1

___________________________________________________________

Answer:

no. i*i = -1

2i*3i=-6

now if they meant complex numbers the answer is still no

(2+4i)(2-4i) = 4-8i+8i-16 = -12

___________________________________________________________


Related Questions

3 x 3 x 3 cube is painted and it is cut into 27 cubes how many small cubes will have paint on exactly two faces

Answers

Answer:

12

Step-by-step explanation:

See attached picture. We have a 3x3x3 cube. If we cut it into 27 cubes, we will end up with a rubik's cube like cube. Each of the small cubes will measure 1x1x1. So if we pay close attention to the cube, we will see that only the cubes on the edges will have two of its faces painted in two colors. We can think of the cube as having three layers. Each of the layers will have 4 edge cubes, so we will have in total:

3x4=12 cubes that will have only two of its faces with paint on them.


A $61.50 video game is 78% off. How much do you pay?
PLEASE HELP ME

Answers

Answer:

$13.53

Step-by-step explanation:

78% off means you are paying only 22% of 61.50

.22 x 61.50 = 13.53

or

find 78% of 61.50 (it's 47.97) and deduct that value from 61.50

Pleas help!!!
Rewarded brainly

Answers

Answer:

whats up

Step-by-step explanation:

Answer:

With what?

Step-by-step explanation:

Use <, >, or = to compare the following
8 and -8
-1 and -12

Answers

Answer:

8 > -8.       -1 > -12

Step-by-step explanation:

8 would be larger because its positive.... and -1 would be larger becasue it is closer to the positives

When 2(3/5x + 2 3/4y - 1/4x - 1 1/2y + 3) is simplified, what is the resulting expression? ​

Answers

. 7/10x+2 1/2y+6 this would be the resulting expression

Answer:

the answer is 1 7/10+ 2 1/2y +6

Step-by-step explanation:

A small business plans to order carpet for 4 identical offices. The floor of each office is 7.2 feet long and 5.8 feet wide. What is the total area?

Answers

The total area of office that the small business needs to carpet is 174ft^2

What is the area of rectangle?

The area of the rectangle is the region enclosed by the perimeter of the rectangle and is equal to product of length and width. The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'.

So, the Area of Rectangle = (a × b) square units.

The area of a rectangle is length ✕ width.

So, width = area/length

length = 7.2 ft

width = 5.8ftnumber of office = 4

Area of one office = 7.2 * 5.8 Area of one office = 43.5ft^2

The total area of the four offices will be 43.5 * 4 = 174ft^2

Learn more on area of a rectangle here;

https://brainly.com/question/25292087

#SPJ1

Need help? Step by step solving?

Answers

Step-by-step explanation:

=4+5-6

=9-6

=3d^2

plzzzz mark me brainliest if it helps you then

What is the equation of the line whose Y intercept is 3 and slope is 1?

A) Y=x-3
B) Y=x+3
C) Y=3x+1

Answers

Answer:

y=x+3

Step-by-step explanation

The slope intercept form equation is y=mx+b. m is the slope and b is the y intercept. In this scenario, plug it back in to m and b. m=1 and b=3 so it would be y=1x+3. However, we don't include the one so it would just be y=x+3

Y=Mx+b m=slope b=y-intercept thus Y=1x+3 and you can drop the one so the answer is b)y=x+3

Maurice takes a roast out of the oven when the internal temperature of the roast is 165F after ten minutes , the temperature roast drops to 145

Answers

The above question is incomplete

Complete Question

Maurice takes a roast out of the oven when the internal temperature of the roast is 165°F. After 10 minutes, the temperature of the roast drops to 145°F.

The temperature of the room is 72°F.

How long does it take for the temperature of the roast to drop to 120°F?

Answer:

27.3143 minutes

Step-by-step explanation:

Using the Newton's law of cooling: The formula is given as:

T (t) = T₀ + T₁ e^ (rt)

Where

T₀ = Original temperature of the room (°F) ; 72°F

T₁ = Temperature of the roast (°F)

This is calculated as:

165 - 72 =93°F

r = Rate of cooling (°F/min)

t = time (min)

Substituting the values, we can obtain:

T (t) = 72 + 93 e ^rt

Step 1

We solve for r

From the question, we know that: the temperature dropped to 145°F after 10 minutes,

t =10 mins and T(10) = 145 °F

Substituting

T(10) = 72 +93 e^10r

145 = 72 + 93 e^10r

145 - 72 = 93 e^10r

Divide both sides by 93

(145-72)/93 = e^(10r)

We take the natural logarithm of both the left and right hand sides

In [(145-72)/93 ] = In (e^10r)

In [(145-72)/93 ] = 10r

-0.24214 =10r

r = -0.24214/10

r = -0.02421 °F/min

Substituting into

-0.02421 °F/min for r in the Equation below

T (t) = 72 + 93 e ^rt

T (t) = 72 + 93 e^ (-0.024214t)

To find the time taken to reach 120°F, we substitute into equation

120 = 72 +93 e^(-0.024214 ×t)

(120-72)= 93 e^ (-0.024214t)

Divide bother sides by 93

[(120-72)/93] = e^-0.024214t

We take the natural logarithm of both sides

In[(120-72)/93] = In(e^-0.024214t)

-0.66139 = -0.024214t

Divide both sides by -0.024214t

t = -0.66139/ -0.024214

t =27.3143 minutes

Carey needs $60 to buy her mother’s a gift. She saved 25% of that amount so far. How much has she saved so far?

Answers

Answer:

$15

Step-by-step explanation:

25% of $60 is:

25*60/100 = 15

She saved $15 so far

Question 10 of 10
If f(x) = 4x - 12, what is f(2)?
O A. 4
B. -20
C.-4
O O O
D. 8

Answers

Answer:

Step-by-step explanation:

f(x) = 4x - 12

f(2) = 4*2 - 12

f(2) = 8 - 12

f(2) = - 4

Which events are independent?

Select each correct answer.



One coin is drawn from a bag of coins after another coin is drawn without replacement.
Two white balls are drawn from a bag of balls without replacing the balls.
Two spinners are spun at the same time.
A six-sided number cube is rolled and a coin is flipped.

Answers

Answer:

A six sided number cube is rolled and a coin is flipped

Step-by-step explanation:

These are two different objects that have 0 correlation with eachother

£800 share in to 3:13:18

Answers

Answer:

60,260,360

Step-by-step explanation:

pretty sure this is it PLEASE GIVE ME BRAINLIEST IM DESPERATE

Answer:

See below

Step-by-step explanation:

I think ratio is different, it should be 9:13:18

I'll answer both options

Ratio of 3:13:18800 = 3x + 13x + 18x800 = 34xx = 800/34x = 23 18/34 = 23 9/17

Shares are:

3*23 9/17  = 69 27/17 = 70 10/17 or 70.5913*23 9/17 = 299 117/17 = 305 15/17 or 305.8818*23 9/17 = 414 162/17 = 423 9/17 or 423.53Ratio of 9:13:18800 = 9x + 13x + 18x800 = 40xx = 20

Shares are:

9*20 = 18013*20 = 26018*20 = 360

A bike path is 8 miles. Max is 40% of the way to the end. How far is max on the path?

Answers

4.8 he is 4.8 miles into the path


discounts mark up and mark downs! Due IN 10 mins!! PLZ HELP

2. $199 ring; 10% discount

Answers

Answer:

19.9 is the answer

Step-by-step explanation:

10 percent of 199 is 19.9

Latasha bought a concert ticket. She does not remember the price of the ticket, but she remembers that she had to pay $1 in tax. Sales tax where Latasha lives is 8%. She drew a percent bar to find the original price.

Answers

Answer:

Original price of ticket = $12.5

Step-by-step explanation:

Given:

8% amount = $1

Find:

Original price of ticket

Computation:

Original price of ticket = 1(100/8)

Original price of ticket = $12.5

Which of the following are solutions to the equation below?
Check all that apply.
x2 - 8x + 16 = 5

Answers

Answer:

the equation requires you to collect like terms that bringing 5 to the next side which let it -5

And then use Quadratic equation in solving

Formula: -b +or - square root b2 -4ac

everything divide by 2a

Answer:

\/5+4 and -\/5+4

Step-by-step explanation:

\/ is square root

Martin is ordering dvds online. Each dvd is priced at $8.50. The website also charges a flat fee of $5.00 fo shipping and handling for any size order. If Martin decides to spend no more than $56, how many dvds can he buy

Answers

56-5= 51
51/8.50= 6

So he bought 6 DVD’s

Answer:it’s A

Step-by-step explanation:

I got It right on test

please help me solve this f - 4 = -11

Answers

Final Answer: [tex]f = -7[/tex]

Steps/Reasons/Explanation:

Question: Solve [tex]f - 4 = -11[/tex].

Step 1: Add 4 to both sides.

[tex]f =-11 + 4[/tex]

Step 2: Simplify [tex]-11 + 4[/tex] to [tex]-7[/tex].

[tex]f = -7[/tex]

~I hope I helped you :)~

please explain and write the answer!

Answers

Answer:

You can actually draw both points in a graph to find out as it makes it easier to understand. Or you could think, if C has moved from (0,0) to (-2,3). It means it moves to the left of the x axis by 2, then moves up by 3 on the y axis.

So point P should move the same way. (-3, 4) move by -2 on the x axis would make it -5, and for y you go up 3 steps so 4+3=7 making P's final location (-5,7)

A company's stock was selling at $28 a share. A month later it was selling at $21 a share. What is the percent loss?

Answers

Answer:

25%

Step-by-step explanation:

[tex]percentage \: loss \\ \\ = \frac{28 - 21}{28} \times 100 \\ \\ = \frac{7}{28} \times 100 \\ \\ = \frac{1}{4} \times 100 \\ \\ = 25\% [/tex]

if Efx=300+30p and N=10+p, find the valu of mean​

Answers

mean=30

Step-by-step explanation:

mean=Efx/n

=300+p/10+p

= 30(10+p)/10+p

=30

A bottle is 2 litre mennu drank 1/8.How many did neenu drink

Answers

Answer:

Volume drank by Mennu = 250 ml

Step-by-step explanation:

Given:

Volume of bottle = 2 liter = 2000 ml

Mennu drank = 1/8 of bottle

Find:

Volume drank by Mennu

Computation:

Volume drank by Mennu = Volume of bottle x Mennu drank

Volume drank by Mennu = 2,000 x 1/8

Volume drank by Mennu = 250 ml

Suppose that during the 1990s, the population of a certain country was increasing by 1.7% each year. If the population at the end of 1993 was 5.4 million, what was the population at the end of 1994?
a.
91,800 people
c.
5,400,000 people
b.
5,612,879 people
d.
5,491,800 people

Answers

Answer:

If the population increases by 1.7% every year then

1994 population = 1993 population * .017 + 1993 population

1994 population = 5,491,800

Answer is "d".

Step-by-step explanation:

PLEASE ANSWER ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

1.5*2.5 = 3.75

15/4 = 3.75

In a class of 25 students, 15 of them have a cat , 16 of them have a dog and 3 of them have neither. Find the probability that a student chosen at random has a cat and a dog. Find the probability that a student chosen at random has a cat and a dog.

Answers

Answer:

Solution in photo

Step-by-step explanation:

Evaluate 1.1.075 + 21.67
3.15

Answers

Answer:

√ 96

log

(100 )

3 ^5 / 3

Step-by-step explanation:

Mark glues together four pieces of wood to make one long strip. The pieces measure 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches. How long is the strip of wood?

Answers

Given that,

Length of 4 pieces of wood are 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.

To find,

The length of the strip of wood.

Solution,

Mark glues together four pieces of wood to make one long strip.

Long strip = The sum of 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.

L = 16.75 + 9 + 24.25 + 12.5

= 62.5 inches

Hence, the strip of wood is 62.5 inches long.

simplify the rational expression: x+3/30x^3-12x^2 - x-1/30x^3-12x^2

Answers

Answer:

1/15x^2(x-360)

Step-by-step explanation:

A formal, logical explanation of some events that includes descriptions of how things relate to one another is called a(n):

Answers

Answer:

Theory

Step-by-step explanation:

The theory refers to an explanation of something. It should be understandable also it contains some logic behind that

It is a formal, logical for events that involved the descriptions that related the things to one another

Therefore the above represent the theory

Hence, the same is to be considered

Other Questions
what are heterosporous plants Compares and contrasts the differing effects of the weather on the people and society in Jammu & Kashmir and Tamil Nadu Which is a correct first step in solving 5 - 2x < 8x -3?O5 One impact on Asia of the Tang dynasty reunifying china was- A. The spread of Buddhism to Japan and KoreaB. The closing of the Silk Road to European traders.C. The collapse of the mongol rule in east asiaD. The diffusion of mandarin to korea and vietnam Simplify: 5 + p > 3 A.) p > 8B.) p -2 What is the temperature of 0.750 mol of a gas stored in a 6,850 mL cylinder at 2.21 atm? Use P V equals n R T. and R equals 0.0821 StartFraction L times atmospheres over moles time K EndFraction.. 2.95 K 5.24 K 138 K 246 K mention any two scopes of population education Plzz help. Giving everything!!!!!!!! need help asap pls dont troll!! How to write an equation in slope-intercept form with a graph For example: Which of the following sentences has a compound predicate? (2 points) aThe brownies were cooling and filling the room with a delicious scent. bThe chocolate chip cookies and vanilla brownies smelled delicious. cThe chocolate cookies were filling the room with a delicious scent. dThe delicious brownies and the cookies were cooling on the counter. its given that x varies directly with y square and x=3 and y=3.Find the value of x when y=45 Which formula compares a sample of a gas under two different conditions of pressure and volume, if the temperature is constant? x/y = k xy = k PV = k V/T = k P1V1 = P2V2 what is half of half of half of 8? A bookstore bought a case of 10 books at a wholesale price of $84. The bookstore will sell the books at a 25 percentmarkup, and each book will be sold for the same amount. How much will they sell each book in the case for?O $8.40O $10.50O $105.00O $105.80 Fill in the blanks in the following sentences with the appropriate word(s).6. J'achte du pain la.7. Nous prenons de la viande la8. La poissonnerie est en facecaf.9. L'picerie est prsptisserie Define recycle, reuse and reduce? Examine the diagram of a cell.Which accurately labels the lysosome?WXYZ What is the value of x in the equation 2(x+3) = 4(x-1)?O 1020 3O 5 Which body part is NOT found on your face?la narizla caderalos labiosla boca Steam Workshop Downloader