Which of the following is equivalent to the complex number i24?

Which Of The Following Is Equivalent To The Complex Number I24?

Answers

Answer 1

Answer: 1

Step-by-step explanation:

Rewrite as (i^4)^6

Rewrite i^4 as 1

Rewrite i^4 as (i^2) ^2

((i^2)) ^2)6

Rewrite i^2 as -1

((-1) ^2) 6

Raise -1 to the power of 2

1^6

One to any power is 1.


Related Questions

WILL MARK BRANL:IEST NO FAKE ANSWERS I NEED ASAP

Answers

Answer:

(-5, 9)

Step-by-step explanation:

Question 27
27. If an increase in one quantity brings about a corresponding decrease in the
other and vice versa, then the two quantities vary
a) sometimes directly and sometimes inversely b) directly
c) inversely d) none of these
ОА
Ов
Ос
OD​

Answers

Answer:

c) inversely

Step-by-step explanation:

In Mathematics an inverse relationship can be defined as a relationship between two variables, in which an increase in the value of one variable leads to a decrease in the value of the other variable i.e as the value of one variable becomes large, the value of the other variable becomes small.

Mathematically, an inverse relationship is given by the formula;

A = K/B

Where;

A and B are the variables.

K is the constant of proportionality.

Hence, if an increase in one quantity brings about a corresponding decrease in the other and vice versa, then the two quantities vary inversely.

Whoever solves this correctly will get the brainiest

Answers

Answer:

43

Step-by-step explanation:

james has a recipe that calls for 6 cups of sugar he wants to use only 1/2 of the recipe today how much sugar will he need do you multiply or divide​

Answers

answer:

he would use 3 cups of sugar and would need to multiply

step-by-step explanation:

since he only wants 1/2, we would multiply by the original amount

6 X 1/2 = 3 cups of sugar

Help Please!!!
Thanks

Answers

it’s a!! you can check by replacing x with the numbers inside the brackets until the equality is true!

Answer:

d i hope please be d please please

A rectangular prism has a width of x^2 inches, A length of xy^2 inches, and a height of y^2 inches. Which expression represents the volume in cubic inches of this rectangular prism

Answers

Answer:

[tex]Volume = x^3y^4[/tex]

Step-by-step explanation:

Given

[tex]Length = xy^2[/tex]

[tex]Height = y^2[/tex]

[tex]Width = x^2[/tex]

Required

Determine the volume

The volume is calculated as:

[tex]Volume = Length * Width * Height[/tex]

[tex]Volume = xy^2 * x^2 * y^2[/tex]

This gives:

[tex]Volume = x^3y^4[/tex]

Use distributive property to remove the parenthesis for:
(1-y+x)(-6)

Answers

-6+6y-6x

there ya go can u please give me brainliest

Answer:

Step-by-step explanation:

Multiply -6 to the first bracket so it would be

-6+6y-6x This is the answer

If i put a 100$ into the stock market and the stock market increase by 2% per year. how much money would i have after a year

Answers

Answer:

$102

Step-by-step explanation:

2% of $100 = 0.02 * $100 = $2

The increase is $2.

$100 + $2 = $102

Answer: $102

Answer:

100 x 0,2 x 1 year(12/12 months)

=$102 after a year

Help please will mark brainliest

Answers

B) all the number are greater then but not equal to 0
All numbers greater than or equal to zero. You can include zero because 0 squared equals 0. Therefore the square root of 0 equals 0

Please help me answer this

Answers

9514 1404 393

Answer:

  a) zeros: -2/3, 6

  b) x < -2/3, signs: -, -; sign of product: +

  -2/3 < x < 6, signs: +, -; sign of product: -

  x > 6, signs: + +; sign of product: +

  c) solution: x < -2/3 ∪ x > 6

Step-by-step explanation:

a) The zeros of the product are the values of x that make either factor zero. (A product is only zero if one of the factors is zero.)

  3x +2 = 0   ⇒   x = -2/3

  x -6 = 0   ⇒   x = 6

The zeros of the quadratic are x = -2/3 and x = 6.

__

b) For values of x left of the left-most zero, both factors are negative. For values of x between the zeros, the left factor is positive and the right factor is negative. For values of x greater than the right-most zero, both factors are positive. That is, for large negative values of x, all factors are negative. Working left-to-right, each time a zero is crossed, one factor changes sign.

__

c) The solution is where the signs of the factors match:

  x < -2/3 or -6 < x

PLEASE HELP ME!!!! HOW DO I GRAPH THIS??????

Answers

Answer:

draw the picture then put a box around it and label the body parts and that fun stuff

Jill wants to solve the following system using the elimination method:
Y = X + 8
y = 3x - 11
What number should the equation = x + 8 be multiplied by to eliminate x?
3

Answers

Answer:

3

Step-by-step explanation:

y= x + 8..... (1)

y= 3x - 11..... (2)

y - x = 8..... (3)

y - 3x = -11..... (4)

eliminating x:

(3) × 3: 3y - 3x = 24 ........ (5)

(4) × 1: y - 3x = -11 ......... (6)

(5) - (6): 2y = 35

Divide both sides by 2, therefore, y = 17.5

substitute the value of y into (3)

y - x = 8

17.5 - x = 8

17.5 - 8 = x

9.5 = x

I hope it'll help

What is the image point of (7,0) after a translation right 2 units and up 1 unit?

Answers

Answer: (9,1)

Step-by-step explanation: This is because x (7) moves left and right, and y (0) moves up and down. the formula would be (x, y) --->(x+2, y+1)

HELP please my friend needs help with his MATH homework, see picture for problem TY :)

Answers

Answer: 207.34512

Plug in values into your formula
SA = 2•pi•r^2 + 2•pi•r•h

SA = 2•pi•3^2 +2•pi•3•8

Height (h) = 8in.
Radius (r) = 3 (diameter divided by 2)
Diameter = 6
The formula for surface area is
SA = 2πr^2 + 2πrh
Where SA means surface area, r stands for radius, and h stands for height.

First find the radius. The radius of a circle is the distance from the outside of the circle to its center. It is half the diameter. To find the radius, divide the diameter by two.
r = 6/2
r = 3 inches

Now plug in the values for radius and height into your formula. Use pi = 3.14

SA = 2(3.14)r^2 + 2(3.14)rh
SA = 2(3.14)(3)^2 + 2(3.14)(3)(8)
SA = 6.28(9) + 6.28(24)
SA = 56.52 + 150.72
SA = 207.24 inches

The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y axis is a parabola.
Select one:
True
False

Answers

Answer:

The correct option is;

False

Step-by-step explanation:

The equation of the graphs of conic sections (all of which can have axis of symmetry that can be oriented parallel to the y-axis) includes;

Circle; (x - h)² + (y - k)² = r²

Parabola; y = a·(x - h)² + k

[tex]Ellipse; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

[tex]Hyperbola; \dfrac{(x - h)^2}{a^2} + \dfrac{(y - k)^2}{b^2} = 1[/tex]

The graph of a quadratic equation in two variables whose axis of symmetry is parallel to the y-axis can be either a circle, a parabola, an ellipse, or an hyperbola

Therefore, the graph may not be the graph of a parabola and the statement is false

Answer:

The correct answer is True

Step-by-step explanation:

I took the quiz and got it right.

Will mark Brainliest! What is the value of P. Thank you!

Answers

Answer:

question of number 10 is 3

[4 ×{ 3 - ( 2- 1/3 )}]​

Answers

Hopes this helps:

Answer: 16/3

1. Simplify 2 - 1/3 to 5/3.
4(3- 5/3)

2. Simplify 3 - 5/3 to 4/3.
4 • 4/3

3. Use this rule: a • b/c = ab/c.
4 • 4/ 3

4. Simplify 4 • 4 to 16.
16/3
16/3 is the correct answer !!!! Hope thsi helps bye

64 Books on 4 Shelves how maany books per Shelf?

Answers

Answer:

256

Step-by-step explanation:

Answer:

16 is the answer because 64/4 is 16 so 16*4 is 64 meaning that there are 16 books on each shelf

Step-by-step explanation:

hope this helped

After a discount of 30%, the sale price of a ticket to Cedar Point is $35. What is the original
price? Show your work

Answers

Answer: 116.67

Step-by-step explanation:

30/100 * x = 35

3/10 * x = 35

3x = 350

x = 116.67

Victor tossed a paper cup 40 times and recorded how the cup landed each time. He organized the results in the table shown.
Outcome
Frequency
Right-side up
12
Upside down
7
On its side
21
Which statement is best supported by the results on the table, if Victor tosses the paper cup 100 times?
Less than 30 cups will land on either right-side up or upside down.
More than 50 cups will land on its side.
Less than 30 cups will not land on right-side up.
More than 50 cups will land on upside down.

Answers

Answer:

More than 50 cups will land on its side.

The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.​

Answers

The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm

Raised ? rabbit.​

1 A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10
centimeters. Which measurement is closest to the total surface area of the can in
square centimeters?

Answers

Answer:

radius r = 3 cm

height h = 10 cm

volume V = 282.743339 cm^3

lateral surface area L = 188.495559 cm^2

top surface area T = 28.2743339 cm^2

base surface area B = 28.2743339 cm^2

total surface area A = 245.044227 cm^2

In Terms of Pi π

volume V = 90 π cm3

lateral surface area L = 60 π cm^2

top surface area T = 9 π cm^2

base surface area B = 9 π cm^2

total surface area A = 78 π cm^2

Step-by-step explanation:

Cylinder Formulas in terms of r and h:

Calculate volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside)**:

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Agenda: r = radius

h = height

V = volume

L = lateral surface area

T = top surface area

B = base surface area

A = total surface area

π = pi = 3.1415926535898

√ = square root

The value of Surface Area of the cylinder is 245.04 cm².

What is Surface Area of a shape ?

Surface area is the amount of space covering the outside of a three-dimensional shape.

It is given that the cylinder has

radius r = 3 cm

height h = 10 cm

volume V of the cylinder = πr²h = 282.74 cm³

the lateral surface area of a cylinder

L = 2πrh

lateral surface area L = 188.495559 cm²

the top and bottom surface area of a cylinder (2 circles):

T = B = πr²

top surface area T = 28.2743339 cm²

base surface area B = 28.2743339 cm²

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

total surface area A = 245.044227 cm²

total surface area A = 78 π cm²

Therefore the value of Surface Area of the cylinder is 245.04 cm².

To know more about Surface Area

https://brainly.com/question/2835293

#SPJ5

Find the measure of 46.
70*110°
46
o
66 = [?]

Answers

Answer:

angle 6 is equal to 70° vertically opposite angle on the same side of transeversal.

help me please, please

Answers

-243 x -128
——————-
-27 x -32

31104/864
=36

Lucas is planting grass on the shaded portions of the yard. What will be the total area covered by​ grass?

Answers

Complete Question:

Lucas is planting grass on the shaded portions of the yard. What will be the total area of covered by grass? Fill in the missing.

Part A= 12 x ? = ? ft²

Part B= 0.5 x ? x 9 = ?ft²

Part C= 0.5 x 7 x ? = ?ft²

Total Area= ?ft²

Answer:

[tex]A = 108ft^2[/tex]

[tex]B = 27ft^2[/tex]

[tex]C = 24.5ft^2[/tex]

[tex]Area = 159.50ft^2[/tex]

Step-by-step explanation:

Given

See attachment

From the attachment;

Part A is a rectangle with dimension 9ft by 12ft

So,

[tex]A = 12ft * 9ft[/tex]

[tex]A = 108ft^2[/tex]

Part B is a triangle with dimension: height = 6 and base = 9

The height is calculated as:

[tex]Height = 12ft - 6ft = 6ft[/tex]

And the base is:

[tex]Base = 18ft - 9ft = 9ft[/tex]

So, the area is:

[tex]B = 0.5 * 6ft * 9ft[/tex]

[tex]B = 27ft^2[/tex]

Part C is a triangle with dimension: height = 7 and base = 7

So, the area is:

[tex]C = 0.5 * 7 * 7ft^2[/tex]

[tex]C = 24.5ft^2[/tex]

Total Area is:

[tex]Area = A + B + C[/tex]

[tex]Area = 108ft^2 + 27ft^2 + 24.5ft^2[/tex]

[tex]Area = 159.50ft^2[/tex]

The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th hexagon formed by this pattern is 1, what is the area of the original hexagon?

Answers

Answer:

(4/3)⁹⁸ units²

Step-by-step explanation:

Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.

This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.

99 ⇒ 198 ⇒ 1*4/397 ⇒ 1*(4/3)²...1 ⇒ (4/3)⁹⁹⁻¹

The original hexagon has the area of:

(4/3)⁹⁸ units²

Answer:

(4/3)^98units.

Step-by-step explanation:

By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.

help please i’ll give extra points & brainlist:)!

Answers

A south pole of one magnet can approach the north pole of another. The magnetic fields are aligned. This makes an attractive force between the two magnets. The farther apart they are, the higher their potential energy.


hope this helped :)

(5,2) & (-3, 6)

questions said slope intercept form
write the equation of the line that passes through the two Points ​

Answers

Answer:

-1/2x + 4.5

Step-by-step explanation:

Find out the slope by substituting the values in the formulas.

y2 - y1 / x2 - x1      6 - 2 / -3 - 5

-1/2

Now find the y-intercept.

y = mx + b

6 = -1/2 (-3) + b

6 = 3/2 + b

9/2 = b

what is the product of the Trinomial and the Binomial below
(x2+5x-2)(x-3)

Answers

Answer:

x3+2x2-17x+6.

Step-by-step explanation:

(x2+5x-2)(x-3)

= x(x2+5x-2)-3(x2+5x-2)

= x3 +5x2-2x-3x2-15x+6

Simplifying like terms:

= x3+2x2-17x+6

Use the figure below to determine the exact value of the given function sin2 0

Answers

Answer:

sin2θ = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

Since, sin2θ = 2sinθcosθ

From the triangle given in the picture,

Opposite side of angle θ = 2 units

Adjacent side of angle θ = 3 units

Hypotenuse = [tex]\sqrt{2^2+3^2}[/tex] = [tex]\sqrt{13}[/tex] [By Pythagoras theorem]

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

       = [tex]\frac{2}{\sqrt{13}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

        = [tex]\frac{3}{\sqrt{13} }[/tex]

sin2θ = [tex]2\times (\frac{2}{\sqrt{13}})(\frac{3}{\sqrt{13}})[/tex]

         = [tex]\frac{12}{13}[/tex]

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