The number 16 has four fourth roots. In other words, there are four complex numbers that can be entered in the square in the equation below: __^4 = 16 Find them.

Answers

Answer 1

Answer:

Step-by-step explanation:

Hello, we know that the z complex solutions of

[tex]z^4=1[/tex]

are

1, i, -1, -i

so, the solutions of [tex]z^4=16=2^4[/tex] are

2, 2i, -2, -2i

Thank you


Related Questions

I order 700 notebooks by accident. I only need 3⁄7 of my order. How many notebooks do I return?

Answers

You return 400 books back

I have to return 400 notebooks.

Here, we have,

given that,

I order 700 notebooks by accident. I only need 3⁄7 of my order.

To determine how many notebooks you need to return, you can calculate 4/7 of your order, which represents the portion you don't need.

Let's calculate it step by step:

Calculate the number of notebooks you don't need:

4/7 * 700 = 400

we have,

I only need 3⁄7 of my order.

so, i need = 3/7 * 700

                = 300

Subtract the number of notebooks you need from the total order to find the number of notebooks you should return:

700 - 300 = 400

Therefore, you should return 400 notebooks.

To learn more on subtraction click:

brainly.com/question/2346316

#SPJ2

The slope of the line below is -3. Which of the following is the point-slope
form of the line?
13
A. ¥+ 2 = -3(x-6)
© B. y-6--3(x + 2)
© C. y. 2 = -3(x + 6)
D) D. y + 6 = -3(x-2)

Answers

Answer:

[tex]\boxed{D. y + 6 = -3(x - 2)}[/tex]

Step-by-step explanation:

Hey there!

Well given point,

(2,-6)

Point slope form is,

y - y1 = m(x - x1)

Plug in the given point

y + 6 = m(x - 2)

Plug in slope

y + 6 = -3(x - 2)

So choice D. y + 6 = -3(x - 2) is correct.

Hope this helps :)

plz help ASAP!!!!!!!!!!!
WILL MARK BEAINLIST!

Answers

Answer: Choice D

If you have a single straight vertical line cross the curve at more than one point, then you do not have a function. In other words, if an x input leads to multiple outputs, then you don't have a function.

The length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58° to 36°.Calcule the height of the pole

Answers

Answer: Approximately 119.76 meters

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

Work Shown:

x = starting length of the shadow

y = height of the pole

tan(angle) = opposite/adjacent

tan(58) = y/x

1.6003345 = y/x

1.6003345x = y

x = y/1.6003345

x = (1/1.6003345)y

x = 0.62486936y

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

When the angle changes, the adjacent side gets 90 meters longer

tan(angle) = opposite/adjacent

tan(36) = y/(x+90)

0.72654253 = y/(0.62486936y+90)

0.72654253(0.62486936y+90) = y

0.453994166y + 65.3888277 = y

65.3888277 = y-0.453994166y

65.3888277 = 0.546005834y

0.546005834y = 65.3888277

y = 65.3888277/0.546005834

y = 119.758478075162

y = 119.76

The height of the pole is about 119.76 meters.

if the first step of the equation -x + 6 = 5 - 3x is "subtract 5" then what should the next step be

Answers

Answer:

The next step is add x to each side

Step-by-step explanation:

-x + 6 = 5 - 3x

Subtract 5 from each side

-x + 6-5 = 5-5 - 3x

-x+1 = -3x

Add x to each side

-x+1 = -3x+x

1 = -2x

Answer:

Step-by-step explanation:

all you need to do is solve for x right? so in that case when you subtract 5 from both sides you get -x+1=-3x

then you will add x on each side

you should now have 1=-2x

divide each side by -2 and then you will have

-1/2=x

90 POINTS! HELP ASAP! Using one of the figures below, explain a strategy for calculating the area of the irregular polygon.

Answers

Answer:

area of polygon = 88 sq. units

Step-by-step explanation:

lets make it simple, short and accurate.

area of polygon = total area - total area of triangles

total area = 11 * 12 = 132

triangle 1 = 1/2 * 5 * 5 = 12.5

triangle 2 = 1/2 * 3 * 6 = 9

triangle 3 = 1/2 * 3 * 8 = 12

triangle 4 = 1/2 * 3 * 7 = 10.5

total area of triangle = 12.5 + 9 + 12 + 10.5 = 44

area of polygon = 132 - 44 = 88 sq. units

Answer:

The area of the irregular polygon:

88 units²

Step-by-step explanation:

The irregular polygon is insert in a rectangle

The strategy is:

1 - calculate the rectangle total area

2- calculate the area of each right triangle

3.- substracte the total area of the 4 right triangles from the area of the rectángule

then:

1.-

Ar = 12*11 = 132 units²

Ar = rectangle area

2.-

At₁ = (5*5)/2 = 25/2 = 12.5 units²

At₂ = (6*3)/2 = 18/2 = 9 units²

At₃ = (7*3)/2 = 21/2 = 10.5 units²

At₄ = (8*3)/2 = 24/2 = 12 units²

At total = 12.5 + 9 + 10.5 + 12 = 44 units²

At = right triangle areas

3.-

Ap = 132 - 44 = 88 units²

2 hundredths as a decimal

Answers

Answer:

0.02

Step-by-step explanation:

Answer:

.02

Step-by-step explanation:

5a - 2b for a = -2 and b = 5

Answers

Answer:

-20

Step-by-step explanation:

5a - 2b  a=-2 b=5

5(-2)-2(5)

-10-10=-20

Answer:

The answer is - 20

Step-by-step explanation:

5a - 2b

To find the value of the expression when

a = -2 and b = 5

Substitute the values of a and b into the expression

That's

5(-2) - 2(5)

-10 - 10

-20

We have the final answer as -20

Hope this helps you

Find a49 of the sequence 70,63,56,49,…. A. -63 B. -266 C. -273 D. -243

Answers

Answer:

(B) -266

Step-by-step explanation:

The formula to find the nth term in a sequence is:

[tex]x_{n} = a + d(n-1)[/tex], where a is the first term and n is the "difference."

Looking at this equation, we can see that the number decreases by 7 each time and the first term is 70.

So:

[tex]x_n = 70 + -7(n-1)[/tex]

Solve for the equation:

[tex]x_n = 70 + -7n+7\\x_n = -7n+77[/tex]

Since we want to find the 49th term:

[tex]x_9 = -7(49) + 77\\x_9 = -343+77\\x_9 = -266[/tex]

Hope this helped!

Help please on question 61!!

Answers

Answer:

r = 1

Step-by-step explanation:

2πr = x

πr² = y

x = 2y

2πr = 2πr²

r = 1

03. O preço a ser pago por uma corrida de táxi inclui uma parcela fixa, denominada bandeirada, e uma parcela que depende da distância percorrida. Se a bandeirada custa R$ 3,20 e cada quilômetro rodado custa R$ 1,50, qual o valor de v a pagar em uma corrida de n quilômetro? * 1 ponto a) v = 1,50 + 3,20n b) v = 3,20.N c) v = 3,20.N - 1,50 d) v = 3,20 + 1,50n e) v = 1,50n

Answers

Answer: d) v = 3.20 + 1.50n.

Step-by-step explanation:

Let 'v' be the price to pay in a 'n' kilometer.

Given: The price to be paid for a taxi ride includes a fixed parcel, called a flag, and a parcel that depends on the distance traveled.

Flag costs = $ 3.20 and

Each kilometre run costs = $ 1.50

Then, the amount of 'v' to pay in a 'n' kilometer race = Flag costs +   (n)× (Each kilometre run costs )

⇒ v= 3.20 + 1.50n

Hence, the correct option is  d) v = 3.20 + 1.50n.

A table costs Rs 720 to make. He sells it for Rs 920. What percentage of profit did he earn?

Answers

Answer:

27 7/9%

Step-by-step explanation:

Take the selling price and subtract the cost

920 -720 = 200

Divide it by the cost

200/720

.27777777

Change to percent form

27.777777%

27 7/9%

Answer:

profit percentage = 27.8 %

Step-by-step explanation:

To find the percentage of profit we use the formula

[tex] \frac{profit}{cost \: \: price \: } \times 100[/tex]

Subtract the cost price from the selling price to obtain the profit

Cost price = Rs 720

Selling price = Rs 920

Profit = Rs 920 - Rs 720 = Rs 200

So the profit percentage is

[tex] \frac{200}{720} \times 100[/tex]

We have the final answer as

profit percentage = 27.8 %

Hope this helps you

Tan x is ........ Cos x is ........ Sin x is ..........

Answers

Answer:

Tan x= 3/4 Cos x= 4/5 Sin x=3/5

Step-by-step explanation:

"soh-cah-toa"

Just an easy way to remember how Sine, Cosine and Tangent work:

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

Answer:

tan(x)=0.75 sin(x)=0.6 Cos(x)=0.8

Step-by-step explanation:

[tex]tan(x)=\frac{opposite}{adjacent}=\frac{3}{4}=0.75[/tex]

[tex]cos(x)=\frac{adjacent}{hypotenuse}= \frac{4}{5} =0.8[/tex]

[tex]sin(x)=\frac{opposite}{hypotenuse}=\frac{3}{5}=0.6[/tex]

opposite=3

adjacent=4

hypotenuse=5

try remembering it as SOH CAH TOA

PLEASE FOR THE LOVE OF FOOD ANSWER MY QUESTION!

Given that a quadrilateral PQRS is a parallelogram, PQ and RS are opposite sides, PQ = 7x + 16, RS = 5x +28, and QR = 67 which of the following statements are correct? More than one answer may be correct.

Answers

Answer:

PQ = 58

Perimeter = 250

Opposite sides are congruent

Step-by-step explanation:

PQ = 58:

Because PQRS is a parallelogram, PQ equals RS.

1. Set up the equation and solve

7x + 16 = 5x + 28

2x = 12

x = 6

2. Plug in x into PQ

7(6) + 16 = 58

Perimeter = 250:

PQ = RS and QR = SP

1. Add the sides

58 + 58 + 67 + 67 = 250

Opposite sides are congruent:

definition of a parallelogram

PLEASE HELP ASAP!! (: One link below. I WILL NAME BRAINLIEST!! 30 points (: Make sure to show ur work. One who shows work and gets correct, gets title of Brainliest!! (: Convert the percentages to a fraction, and then convert the fraction to a mixed number or a whole number!

Answers

Answer:

[tex]\boxed{\sf{view \: explanation}}[/tex]

Step-by-step explanation:

To convert percentages into a fraction, divide the value by 100.

[tex]\displaystyle 800\% =\frac{800}{100} =8[/tex]

[tex]\displaystyle 375\% = \frac{375}{100} =\frac{15}{4} =3\frac{3}{4}[/tex]

[tex]\displaystyle 240\% = \frac{240}{100} =\frac{12}{5} =2\frac{2}{5}[/tex]

Answer:

see below

Step-by-step explanation:

To change a percent to a fraction, divide by 100 and simplify

800% = 800/100

Dividing by 100

          = 8/1

         =8

375% = 375/100

        Dividing by 25

          =15/4

Changing to a mixed number

4 goes into 14 3 times with 3 left over

            3 3/4

240% = 240/100

Dividing by 20

           =12/5

Changing to a mixed number

 5 goes into 12  2 times with 2 left over

       = 2 2/5

Please help.. I'm really stuck

Answers

Answer:

C. C only

Step-by-step explanation:

Well to determine if the given graphs are functions we need to do the vertical line test to all the graphs,

A. This fails the vertical line test because the vertical line could pass through 2 points on the lines.

B. this also fails because a vertical line could pass through 2 points.

C. This passes because the vertical line doesn’t touch 2 points.

68) Volume of a Bucket: Determine the volume of a cylindrical bucket in cubic inches if the bucket's radius is 5 in.
and the height is 12 in. The formula for the volume of a cylinder is V = yrah. Use the Te key on your calculator.

Answers

Answer:

V = 300[tex]\pi[/tex] in³ or 942.48 in³

Step-by-step explanation:

Use the cylinder volume formula, V = [tex]\pi[/tex]r²h, where r is the radius and h is the height.

Plug in the values and solve:

V = [tex]\pi[/tex](5²)(12)

V = 300[tex]\pi[/tex] in³ or 942.48 in³

The sum of three consecutive multiples of 7 is 777 find these multiples

Answers

let the consecutive multiples be 7(n-1) , 7n and 7(n+1)

so 7(n-1)+7n+7(n+1)=777

or 3n=111,

n=37

252,259,266

[tex]7n+7n+7+7n+14=777\\21n=756\\n=36\\\\7n=252\\7n+7=259\\7n+14=266[/tex]

252,259,266

Given only a compass and straightedge, Greeks were able to construct only
regular polygons and circles, thus leaving many constructions impossible to
complete.
A. True
B. False

Answers

Answer: False

A regular heptagon (7-sided figure) cannot be constructed with a compass and straightedge.

Line N passes through the points (–1, 4) and (–1, –4).Which is true of line N? Line N is a vertical line with an undefined slope. Line N is a vertical line with a slope of zero. Line N is a horizontal line with an undefined slope. Line N is a horizontal line with a slope of zero.

Answers

Answer:

Line N is a vertical line with an undefined slope.

Step-by-step explanation:

When the points that line N passes through are graphed, they form a vertical line.

All vertical lines have an undefined slope.

We can also check if it's undefined by finding the slope.

[tex]m=\frac{-4-4}{-1+1}=\frac{-8}{0}[/tex]

The quotient would be undefined. You cannot divide by zero.

Hope this helps.

Answer:

Line N is a vertical line with an undefined slope.

Step-by-step explanation:

Did the quiz wanted to help people.

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.


Use digits to write the value of the 6 in this number.


672,180

Answers

Six hundred thousand

Hope it helps :)

Father's age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of ages of two children. Find the age of father.​

Answers

Answer:

45 is the father's age

Step-by-step explanation:

There were 96 people in a queue to get into a fun fair. There were at least
4 children between any 2 adults.
What was the largest possible number of adults in the queue?​

Answers

Answer:

32 adulta

Step-by-step explanation:

96÷6 = 16 number of families

now we need to see how many adults there are in 16 families.

and the number is 32 adults.

Answer:

32 adults.

Step-by-step explanation:

At the very least, there are 4 children for every 2 adults. That means that, at the very least, there are 6 people in one group to get into the fun fair.

96 / 6 = 16

So, there are 16 groups trying to get into the fun fair, with 2 adults in each group. 2 * 16 = 32 adults are in the queue.

Hope this helps!

describe importance of public participant ​

Answers

Answer:

the main aim of public participant is to encourage the public to have a meaningful input into the decision making process.

(07.06A) Which scenario best matches the linear relationship expressed in the equation y = 13.50x + 300? Bobby has $300 in the yearbook fund and spends $13.50 on each yearbook. Bobby has $13.50 in the yearbook fund and spends $300 on each yearbook. Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold. Bobby has $13.50 in the yearbook fund and earns $300 for each yearbook sold.

Answers

Answer:

  Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.

Step-by-step explanation:

The value of the expression when x is zero is 300. For each increment of 1 in x, the value of the expression increases by 13.50. This best matches the scenario ...

  Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.

The volume of air in a balloon is represented by the function v(n) = ne?, where r is the radius of the balloon, in
inches. The radius increases with time, in seconds, by the function -1) = 4,2. Which statements are true? Check all
that apply
When V is composed with r, the composite function is
mt
48
When V is composed with r, the composite function is
is u216.
V(r(6)) shows that the volume is 9724 in. when the radius increases to 6 inches
V[r(8)) shows that the volume is 16384 7 in.) when the radius increases to 16 inches.
3
The domain of V(t) is all real numbers.

Answers

Answer:

When V is composed with r, the composite function is StartFraction 1 Over 48 EndFraction pi t Superscript 6

V(r(6)) shows that the volume is 972π inches cubed when the radius increases to 6 inches.

Step-by-step explanation:

Answer:

1 and 3 on edge

Step-by-step explanation:

f(x)=x^2 what is g(x)?
pls help me

Answers

Answer:

C.

Step-by-step explanation:

The transformation f(x) ---> a f(x) stretches the graph  of f(x) vertically by a factor a.

The point (1, 1) on f(x) transforms to  (1,9) on g(x).

This is a vertical transformation  of factor 9, so g(x)  = 9f(x)

= 9x^2  or (3x)^2.

convert 28km into cm

Answers

Answer:

28km to cm = 2,800,000cm

Step-by-step explanation:

In order to convert km to cm you have to times it by 100,000

So... 28 x 100,000 = 2,800,000

Hope this helps

Answer:2,800,000cm

Step-by-step explanation:

To convert a larger unit into a smaller unit, you must first check how much does the smaller unit need to make the larger unit. Then multiply the given larger unit to the amount of smaller unit that is equal to 1 of the larger unit.

Because: 100,000cm = 1km

So = 28km×100,000 =2,800,000cm

explanation please! thx!​

Answers

Answer:

63°

Step-by-step explanation:

complement means that the two angles add to 90°

90 - 27 = 63°

Answer:

Step-by-step explanation:

complement angles have sum of angles=90°

∠AOC=27

∠BOC=90-27=63°

Let f(x) = 4x - 5 and g(x) = 3x + 7. Find f(x) + g(x) and state its domain.

Answers

Answer:

7x + 2

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

Adding f(x) and g(x) together gets you, (4x-5) + (3x-7) = 7x - 12

If you graph this function you get a slanted line, which extends forever so the domain will be all real numbers.

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