what is the simplified forom of i^14

Answers

Answer 1

Answer:

i4=1

Step-by-step explanation:

Explanation: Rewrite i14 as (i4)3×i2 . If i=√−1, then i2=−1 . From here (i2)2=(−1)2 , so i4=1


Related Questions

What ratio of sides from AADE defines tan 19° ?

Answers

Answer:

[tex]\large \sf \boxed{ \sf \dfrac{DE}{AD} }[/tex]

Explanation:

[tex]\sf tan(x) = \dfrac{opposite}{adjacent}[/tex]

Here given angle: 19°

Opposite to this angle: DE

Adjacent to this angle: AD

Hypotenuse to this angle: EA

So ratio of sides that defines tan(19) = opposite/adjacent = DE/AD

Kevin evaluated the expression below. 75 - 6 (8 - 6) + 3 Step 1: 75 - 6 x 2 + 3 Step 2: 75 - 6 x 5 Step 3: 75 - 30 Step 4: 45 Kevin made an error in solving the expression. What error did Kevin make? Which step contains the error? What error did Kevin make? Explain how you would correct Kevin's error. Be sure to include the correct answer in your explanation.

Answers

The error Kevin made was in step 2 when he added before he multiplied.

What error did Kevin make?

This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:

bracket of division multiplication addition subtraction

Step 1 : 75 - 6 x 2 + 3Step 2: 75 - 12 + 3 Step 3 : 75 - 9 Step 4: 66

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Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it. 3(5+1)

Answers

Answer:

18

Step-by-step explanation:

[tex]3(5 + 1) \\ 3(5) + 3(1) \\ 15 + 3 \\ 18[/tex]

The distributive property means you distribute the multiple to all terms in the parenthesis, in this case the terms are 5 and 1.

On a scale drawing of the length of an advertisement billboard is 5cm what is the actual length of the scale is 1cm represent 2m?

Answers

Answer:

10m

Step-by-step explanation:

5x2=10 and it's in meters so ya

simplify (x^3+2x-3)-(x^2-2x+4)​

Answers

Answer:

x³ - ((x+1)(x+1))

Step-by-step explanation:

x³ + 2x -3 - x² - 2x + 4

x³ - x² + 1

x³ - ((x+1)(x+1))

Answer:

x^3−x^2+4x−7

Step-by-step explanation:

Hope this helps! Have a great day!!

Solve this please-
Thanks!!!

Answers

Answer:

130 m²

Step-by-step explanation:

Area of a parallelogram is given by the formula :

A = bh (b is the base length and h is the perpendicular height)

Now we simply substitute values given in diagram to find our answer:

A = bh

A = (13)(10)

A = 130

Units will be m² as this is area

Hope this helped and have a good day

Alex wants to cover his wall
with a circular clock that has a
diameter of 16 in. How much
space will the clock cover on
his wall?

Answers

Answer: A = π r2

r=8 and 8 squared is 64 and 64×3.14=200.96 or rounded to the nearest whole number it would be 201

Step-by-step explanation: brainliest please?

what is the midpoint of (-2, -1) and (0, 9)

Answers

Answer:

(-1,4)

Step-by-step explanation:

For x     the midpoint between   -2 and 0    is -1

for y the midpoint between -1 and 9 is  4

Answer:

(-1,4)

Step-by-step explanation:

Midpoint can be found by:

(x1+x2)/2 ; (y1+y2)/2

So, if we substitute, we can find:

(-2+0)/2 ; (-1+9)/2

This gives us -2/2 and 8/2, which is:

(-1, 4)

Hope this helps!

Answers need to be fractions, if they are not whole numbers. No decimals
y=1/2x−7
Slope of lines parallel to line
Slope of lines perpendicular to line

Answers

The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular  to line is -2.

What is the equation of a straight line ?

An equation that can be written in the form of y = mx+c

where m is the slope of the line

and c is the intercept on y axis

The equation given in the question is

y=1/2x−7

in this the slope = 1/2

Intercept = -7

For parallel Lines

For a parallel line , the slope of the line is same

and is given by  m = 1/2

For a perpendicular line

Slope will be equal to

-1/m

here -1/m = -2

Therefore the slope for perpendicular line is -2.

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help me please :)
ytfrtrghjhgfdsfghjyutredfghjytredsfg

Answers

Answer:

what ya need man I can help but give me a question

What is the distance between points (5, 1) and (2, -3)?

Answers

Answer:

5

Step-by-step explanation:

The distance between two points [tex]P[/tex] and [tex]Q[/tex] is  [tex]d = \sqrt{\sum_{i=1}^{n} \left(q_{i} - p_{i}\right)^{2}}[/tex] ([tex]n[/tex] s the number of coordinates of each of the two points, [tex]p_i[/tex] , [tex]i=1..n[/tex] and [tex]q_i,i=1..n[/tex]

are the coordinates of the first and the second points respectively).

Thus, [tex]d = \sqrt{\left(2 - 5\right)^{2} + \left(-3 - 1\right)^{2}}=5.[/tex]

If it takes 10gallons of gas to travel 130 miles. Plot a chart showing the distance covered by 25 gallons, 30 gallons and 32 gallons of gas.
PLEASE ANSWER QUICKLY

Answers

Answer:

325, 390, 416

Step-by-step explanation:

So, to find one gallon, we can do 130/10=13. So, we can multiply 13 by the other numbers. 25x13=325, 30x13=390, and 32x13=416.

Show me how you did it on mathwatch Ill give Brainliest to anyone

Answers

An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The graph of the equation x+2y=7, between the domain of -2 to 3 can be drawn as shown below.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The graph of the equation x+2y=7, between the domain of -2 to 3 can be drawn as shown below.

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Which graph can be used to find the solution(s) to x2 – 4x + 4 = 2x + 1 + x2?

Answers

The solution to the equation x² – 4x + 4 = 2x + 1 + x² is x = 2.5 and the graph is shown in the picture.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have an equation:

x² – 4x + 4 = 2x + 1 + x²

After solving:

-4x + 4 = 2x + 1

6x = 3

x = 1/2 = 0.5

Thus, the solution to the equation x² – 4x + 4 = 2x + 1 + x² is x = 2.5 and the graph is shown in the picture.

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what contribution to geometry is attributed to the work of rene descartes

Answers

Answer: Analytic geometry

Hi, so I was wondering if anyone knows the surface area of a cylinder if the diameter is 7.5? Thank you so much! :)

Answers

Answer:

206.17

Key(s):

[tex]A = 2\pi \frac{d}{2} h + 2\pi \left(\frac{d}{2}\right)^2[/tex]

Substitute d for the actual diameter, 7.5, and h for the height, which is 5.

Step-by-step explanation:

[tex]A = 2\cdot\pi \cdot\frac{7.5}{2} \cdot5 + 2\cdot\pi \cdot\left(\frac{7.5}{2}\right)^2[/tex] ≈ 206.17(2 DP)

Which intervals show f(x) decreasing?

Answers

Oh nah that’s why I’m saying that you didn’t mean to me like that too but I just got a message saying it was okay but I’m just okay I just woke up him and I went

The circumference of a circle is 37.68 meters. What is the circle's diameter?
C = 37.68 m
Use 3.14 for л.

Answers

Answer:

The diameter is 12.

Explain: i used this formula C= Dπ  or C= 2rπ  

(37.68) = Dπ Divide by 3.14, as the instructions in this question specify to do so.

37.68/3.14 = D π/ 3.14

D = 12  The diameter equals twelve.

Hope This Helped

help me now !! help help help

Answers

Answer:

Step-by-step explanation:

1) Parallelepiped

We need to find its surface area minus the area of the base and the base of the cylinder above.

2 (9) (2.4) = 43.2

2 (5) (2.4) = 24

4pi = Area of the base of the cylinder

45 - 4pi = Area of the base of the parallelepiped minus covered region.

Surface needed = 112.2 - 4pi

2) Cylinder

We need to find its surface area minus the area of the base.

2 (pi) (2) (3) = 12pi

pi (4) = 4pi

Surface needed = 16pi

Total surafec needed:  (112.2 - 4pi) + 16pi = 112.2 + 12pi

(This is solved in 'pi' terms)

If this helped, I'd like to have a brainliest. Have a nice day!!

Solve 4 x 5/6 Change to a mixed number and reduce.

Answers

Answer:

10/3 or 3.333333

Step-by-step explanation:

-   4 x 5/6 is 3 1/3

-   3 1/3 is a mixed number

- 3 1/3 reduced is 10/3

find the coordinate plane that represents the solution of this system y > -x - 1 y + 4 ≤ x

Answers

Answer:

The graph will open to the right and will be mostly in quadrant 1

Step-by-step explanation:

can someone find the radius and center point of x^2+y^2-16x+2y+56=0 (general form)

Answers

Answer:

Center is [tex](8,-1)[/tex]

Radius is [tex]3[/tex]

Step-by-step explanation:

To convert from a general form equation to a standard form equation, we must complete the square for each variable to simplify. Make sure to rearrange the equation to complete the square more easily:

[tex]x^2+y^2-16x+2y+56=0\\\\x^2-16x+56+y^2+2y=0\\\\x^2-16x+56(+8)+y^2+2y(+1)=0+8+1\\\\x^2-16x+64+y^2+2y+1=9\\\\(x^2-16x+64)+(y^2+2y+1)=9\\\\(x-8)^2+(y+1)^2=9[/tex]

Since the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], our circle will have a center of [tex](h,k)\rightarrow(8,-1)[/tex] and a radius of [tex]r^2=9\rightarrow r=3[/tex].

right triangles to find the exact length of:
T
30°
14 in
a) TI = in
60°
R

Answers

Answer:

a) TI = 7√3 in

b) IR = 7 in

Explanation:

Using cosine rule:

[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf cos(30) = \dfrac{TI}{14}[/tex]

[tex]\hookrightarrow \sf TI = 14cos(30)[/tex]

[tex]\hookrightarrow \sf TI = 7\sqrt{3}[/tex]

Using sine rule:

[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]

[tex]\hookrightarrow \sf sin(30) = \dfrac{IR}{14}[/tex]

[tex]\hookrightarrow \sf IR = 14sin(30)[/tex]

[tex]\hookrightarrow \sf IR = 7[/tex]

The ratio of AC to BC is ______

Answers

[tex]\cfrac{AC}{BC}\implies \cfrac{\stackrel{AC=3+9}{3~~ + ~~9}}{\underset{BC=9}{9}}\implies \cfrac{\stackrel{4}{~~\begin{matrix} 12 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{4}{3}\implies 4~:~3[/tex]

Can the sides of a triangle have lengths 2, 8, and 19?

Answers

Answer:

No

Step-by-step explanation:

NO...... any two sides added together must be GREATER THAN the third side .... 2 + 8 is NOT greater than 19

Using the cards 3,2,4,7 show a valua closest to 5000

Answers

4,7,3,2

Step-by-step explanation:

THESE ARE THE THE ARRANGEMENT OF NUMBERS IN ORDER TO GET THE CLOSEST TO 5000

The probability of sandy flipping a coin twice and getting heads both times is 0.25 the probability of john's spinner stopping on the color red is

Answers

The true statement is (c) Neither. Both events are equally likely.

Complete question

The probability of Sandy flipping a coin twice and getting heads both times is 0.25. The probability of John's spinner stopping on the color red is 1/4.

Which of these events is more likely?

-Sandy flips a coin twice and gets heads both times.

-John's spinner stops on the color red.

-Neither. Both events are equally likely.

How to determine the likely event?

The given parameters are:

P(Head twice) = 0.25

P(Red) = 1/4

Rewrite P(Red) as:

P(Red) = 0.25

By comparison, we have:

P(Red) = P(Head twice) = 0.25

This means that both events are equally likely

Hence, the true statement is (c)

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Alice has a total of 12 dimes and nickels. She has 2 more nickels than dimes. Which equation represents the given problem situation?
A. c + (c + 2) = 12, where c is the number of dimes

B. c + 2c = 12, where c is the number of nickels

C. c + (c + 2) = 12, where c is the number of nickels

D. c + 2c = 12, where c is the number of dimes

2
SEE ANSWERS

Answers

Answer:

A. c + (c + 2) = 12

Step-by-step explanation:

0. on a saturday evening in chicago, 34% of the people go out to dinner, 18% go out to
see a movie, 13% go out to a party, and 35% stay home. if five people are randomly
selected on monday morning, what is the probability that all but one went out saturday
night?
a) 0.048
b) 0.116
c) 0.181
d) 0.312

Answers

Answer
d. 0.312
Steps taken

Complete the table for y=1/2x-3

Answers

Tables are created by substitute a set of input values into the function to create outputs. The required table is as shown below

x | y

0   -3

1   -2.5

2   -2

Tables and values

Tables are created by substitute a set of input values into the function to create outputs

Using x = 0, 1 and 2 as the input values

Given the function

y = 1/2x - 3

If x = 0

y = 1/2(0) - 3

y = -3

If x = 1

y = 1/2(1) - 3

y = -2.5

If x = 2

y = 1/2(2) - 3

y = -2

Hence the required table is as shown below

x | y

0   -3

1   -2.5

2   -2

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