Simplify the complex number.
(8i) (5) (-4-6i)

Simplify The Complex Number.(8i) (5) (-4-6i)

Answers

Answer 1

Answer:

4th option

Step-by-step explanation:

noting that i² = - 1

(8i)(5i)(- 4 - 6i)

= 40i²(- 4 - 6i)

= 40(- 1)(- 4 - 6i)

= - 40(- 4 - 6i) ← distribute parenthesis by - 40

= 160 + 240i

Answer 2

[tex](8i)(5i)(-4-6i)\\\\=40i^2(-4-6i)\\\\=-40(-4-6i)~~~;[i^2=-1]\\\\=160+240i[/tex]


Related Questions

A sphere has a volume of V=324 in3. Find its surface area.

Answers

Answer:

A≈228.13in²

Step-by-step explanation:

Using the formulas

A=4πr2

V=4

3πr3

Solving forA

A=π⅓(6V)⅔=π⅓·(6·324)⅔≈228.12916in²

that's the answer

Answer:

A≈228.13in²

Step-by-step explanation:

.............

✌️❤️✌️

value of complex number i^7+1/i^4​

Answers

[tex]i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2 \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1[/tex]

0.2(3m − 6) + m = 2 for 8th grade

Answers

Answer:

2

Step-by-step explanation:

0.6m-1.2+m=2

1.6m-1.2=2

1.6m=3.2

m=2

If one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, then how long would it take 8 workers and 5 bandits to lay 1400 bricks?

Answers

It will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.

Given that one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, to determine how long it would take 8 workers and 5 bandits to lay 1400 bricks, the following calculation must be performed:

10 - 3 = 7 5 x 7 + 3 x 10 = X 35 + 30 = X 65 = X 1400/65 = X 21.53 = X

Therefore, it will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.

Learn more about quantities in https://brainly.com/question/21477139

Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend onthe trip?

Answers

Answer:

3hrs 15 minutes

Step-by-step explanation:

10:45

-07:30

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

03:15

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

If 60 boxes in a 10-by-10 grid are shaded, which fraction is equivalent?
A) 1/2
B)3/5
C)7/10
D)3/4

Answers

Answer:

B= 3/5

Step-by-step explanation:

If is wrong I'm sorry

The answer isssssssssssssaa B3/5

ok how do i show work for this tho lolololoololololollloooooool

Answers

Answer:

y=[tex]\frac{1}{5}[/tex]x is linear

Step-by-step explanation:

4x-3y=7y+2x

collect like terms

4x-3y-7y-2x=0

2x-10y=0

simplify

x-5y=0

rewrite it in slope intercept form

y=[tex]\frac{1}{5}[/tex]x which is the equation for a straight line

Given the function below find f(-2).

f(x)=x2−3x+5

Group of answer choices

10

15

20

25

Answers

15
See picture attached

Daniel is going to buy a pizza.


He can choose one pizza variety, one extra topping and one pizza size.


He can choose from


23 different pizza varieties


18 different extra toppings


The total number of ways Daniel can choose the pizza variety, the one extra topping and the


pizza size is 3726


Work out the number of different pizza sizes that Daniel can choose from.

Answers

Answer:

9

Step-by-step explanation:

For each pizza variety, Daniel can choose 18 different toppings. Therefore, for 23 pizza varieties, Daniel can choose from 23 * 18 = 414 different combinations of varieties and toppings.

For each pizza size, Daniel can choose from 414 different combinations of varieties and toppings. Therefore, for n pizza sizes, Daniel can choose from n * 414 = 3726 combinations

414n = 3726

divide both sides by 414 to isolate the n

n = 9

−3.6−1.9t+1.2+5.1t

Khan academy pls help

Answers

Answer:

3.2t - 2.4

Step-by-step explanation:

Jimez has $27 in his pocket. Which is the least number of bills that he can have, assuming he could possibly have $1, $5, $10, and $20.
(A) 3
(B) 4
(C) 5
(D) 8​

Answers

Answer:

4, because he could have a 20 a 5 and two ones.

Step-by-step explanation:

3 one bills assuming he has a twenty and a five

Which of the sets of ordered pairs represents a function? A={(-4, 5), (1, -1), (2, -2), (2, 3)} B = {(2, 2), (3, -2). (9. 3). (9, -3)} Only A Only B Both A and B Neither Anor B​

Answers

Answer: Neither A or B

Step-by-step explanation: In order for a relation to be a function, a relation can not have the x-values repeat. Y-values can repeat an infinite amount of times but x-values can only repeat 1 time in a given relation. In relation A, you have (2,-2), and (2,3) and relation B, you have (9,3), and (9,-3). You can also graph both of these relations and do a vertical line test with your pencil and see that it would cross more than once.

Hope this helps.

Answer:

Neither A nor B

Step-by-step explanation:

A function is a relation that has a unique x value for every y value. This means that the x-values will never repeat. So, to figure out if a list of coordinates is a function check the x-values. If they never repeat, then it is a function. However, in the case of both A and B, the x-values repeat. For, relation A the value 2 repeats, and for relation B the 9 value repeats. Therefore, neither are functions.

A book sold 35,100 copies in its first month of release. Suppose this represents 8.8% of the number of copies sold to date. How many copies have been sold to date?

Answers

Answer:

561,972 copies

Step-by-step explanation:

MATH-

What would the graph look like

Answers

Answer I cant read the thing sorry

Step-by-step explanation:

hoped that hepled:)

a 260$ suit is marked down by 30%. find the sale price

Answers

Answer:

182

Step-by-step explanation:

If the suit itself is originally 260 and it lowered by 30% of itself, then we need to find 30% of 260, which would be 78. Since we are lowering the price, we subract 260 - 78 and get 182 as our final answer.

I hope this answer helped. Please let me know if I am incorrect. Thank you!

What is the end behavior of the function f(x) = −x3 + 2x2 + 4x + 5

Answers

if any doubt leave a comment

Part G Compare this activity tracker & with the calorie calculator you used in part A. Imagine that a company hires you to make an online tool that uses the best features of each calculator to give users an accurate sense of their physical activity and energy expenditure. What features would you use from each calculator? How would your calculator work?

Answers

Answer:

The physical activity calculator helps calculate minutes of activity and breaks down the types of activities performed every week. The calorie calculator doesn’t keep track of all activities. However, it calculates calorie expenditure. A new calculator might be a combination of the two calculators. It’d be a two-step process. People would be able to enter their age, gender, weight, height, and any medical factors so that they can ensure that their calorie calculations are accurate. Then, they’d be able to track the calories expended each day for a week by adding their activities for the whole day, from sitting to exercising. This information would give them an accurate portrayal of calorie expenditure and estimated caloric requirement.

exact answer

Step-by-step explanation:

Answer:

by seeing how the things they are doing and effecting them and then calulating them to add them up so i can see the amount of thier activity caused them to decrease or increase themselfs

Step-by-step explanation:

own explaination just incase teacher does suspect the answer

to be copied :)

A karaoke marked at ₽3,750 was sold for ₽3,225. What was the rate of discount?

Answers

Answer:

Step-by-step explanation:

14%  increase

what is an equation in slope-intercept form for the line (-5, 2) and (5,-3)?​

Answers

Answer:

y = [tex]-\frac{1}{2} x[/tex] [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

solved using point-slope form

points given: (-5, 2) and (5, -3)

slope: [tex]\frac{-3-2}{5-(-5)} =\frac{-5}{10} =-\frac{1}{2}[/tex]

y = [tex]-\frac{1}{2}[/tex] x + b

insert x- and y- values of (-5, 2) and solve for b

2 = [tex]-\frac{1}{2}[/tex] (-5) + b

2 = 2.5 + b

subtract 2.5 from both sides

2 - 2.5 = 2.5 + b - 2.5

-0.5 = b

insert b- value

y = [tex]-\frac{1}{2} x[/tex] [tex]-\frac{1}{2}[/tex]

this is an area in which objects will interact with a magnet

Answers

answer: magnetic field



9. An expression is subtracted from 2p+9q + 100 to get –5p + 7q + 50. What is that expression?

Answers

Answer:

-3p + 16q + 150

Given that a [] b = b2 + a. Evaluate 2 [] (6[] - 5).

Answers

Answer:

963

Step-by-step explanation:

Evaluate 6 | - 5 , then the outside part, that is

6 | - 5 ( with a = 6 and b = - 5 )

= (- 5)² + 6 = 25 + 6 = 31

Now evaluate 2 | 31 ( with a = 2 and b = 31 )

= 31² + 2 = 961 + 2 = 963

please solve quickly

Answers

Step-by-step explanation:

a

Volume = length ×width × height

therefore

5cm× 6cm×2cm=volume

60cm³= volume

the volume is 60cm³

b

Volume = length ×width × height

1200mm³=20mm×10mm×H

1200mm³=200mm²×H

1200mm³/200mm²=200mm²/200mm²×H

6mm= H

the height is 6mm

c

Volume = length ×width × height

72m³=L×3m ×6m

72m³= L× 18m²

72m³/18m²= L×18m²/18m²

4m =L

the length is 4m

d

Volume = length ×width × height

256cm³=8cm ×w×8cm

256cm³=64cm²×w

256cm³/64cm²=64cm²/64cm²×w

4cm=w

the width is 4cm

e

Volume = length ×width × Height

379.6m³=5.2m×7.3m×H

379.6m³=37.96m²×H

379.6m³/37.96m²=37.96m²/37.96×H

10m=H

the height is 10m

f

Volume = length ×width × Height

288mm³=L×12mm×8mm

288mm³= L×96mm²

288mm³/96mm²= L×96mm²/96mm²

3mm=L

the length is 3mm.

21. Here are the ingredients for raspberry ripple ice cream.
250g raspberries
225g caster sugar
2 large eggs
4 large egg yolks
600ml double cream
A mother has 5 litres of cream to make ice cream for a party. Sugar comes in 1kg bags.
How many bags of sugar will be needed?

Answers

Answer:

10 bags for 5 litres of cream of ice cream.

2  bags of sugar will be needed.

What are comparing quantities?

Comparing quantities is the qualitative relation between two quantities which reflects the relative size of both the quantities.

here, we have,

It is given that,

600ml of  cream requires = 225g of sugar

⇒  1 ml of  cream requires = 225/600g of sugar

⇒ 5000ml of  cream requires = 225/600 * 5000g of sugar

                                                  = 1875g

                                                  =1.875 kg

Hence we see that , Sugar comes in 1kg bags.

Similarly, 1.875kg of sugar = 1kg bag + 0.875kg bag

⇒ 2 bags of sugar is needed.

Therefore, 2  bags of sugar will be needed.

To learn more about Comparing quantities :

brainly.com/question/1572596

#SPJ2

what is the product of 9,028 x 100,000

Answers

Answer:

902,800,000

Step-by-step explanation:add the 5 zeros from 100,000 to 9,028

Solve for m.

F/m=a

pls help timed

Answers

Answer:

M=F/A

Hope this helps

M=F/A is the answer

I NEED HELP WITH NUMBER 2

Answers

[tex]5y+2x = -7~~~~~......(i)\\\\y = -2x +5 ~~~~~~.....(ii)\\\\(i) -(ii):\\\\5y+2x -y = -7-(-2x+5)\\\\\implies 4y +2x = -7 +2x -5\\\\\implies 4y +2x -2x = -12\\\\\implies 4y = -12\\\\\implies y = - \dfrac{12}4 = -3\\\\\\\text{Substitute}~ y=-3~ \text{in equation (ii):}\\\\\\-3 = -2x +5\\\\\implies 2x = 5 +3 \\\\\implies 2x = 8\\\\\implies x = \dfrac 82 =4\\\\\text{Hence,}~ x = 4[/tex]

Solve for n in the equation 39 x 5 = n x 15. 13 15 17 19

Answers

Answer:

n=13

Step-by-step explanation:

39*5=15n

195=15n

13=n

HELP PLEASE!!!!! THIS IS DUE TODAY!!!!

Answers

Answer:

nonlinear

Step-by-step explanation:

it's a parabola

What is the perimeter?

14 feet
12 feet
16 feet

Answers

Answer:

14 feet

Step-by-step explanation:

You find this answer by adding each side. The arrow tells us that each side of a square is 1 foot, so you add up the outer sides of each square

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