If i=
[tex] \sqrt{ - 1} [/tex]
, what is the value of i³? ​

Answers

Answer 1

Answer:

i^3 = -i

Step-by-step explanation:

i^3

Rewriting as

i^2 *i

We know that i^2 = -1

-1 *i

-i


Related Questions

Help please ASAP ASAP

Answers

Answer:

-1/12

Step-by-step explanation:

The slopes of perpendicular lines are equivalent to -1.

Answer:

-1/4

Step-by-step explanation:

Subtract 12x from both sides to get -3y=-12x+81

Divide both sides by -3 to get y=4x-27

Take the negative reciprocal of 4, which is -1/4

Find the measure of CDE. The measure of CDE equals a certain # of degrees.

Answers

2x-13+3x-8+2x-3+2x-7+3x-1+2x+11+2x+9= (7-2)×180

16x-12=(7-2)×180

(7-2)×180 Work this out on a calculator

And then that answer=16x-12

Then you solve by adding 12 both sides and dividing by 16 both sides to get what x is.

If K(5,-2) is rotated 90°, what will be the coordinates of its image?
K’(2,5)
K’(-2,-5)
K’(-5,2)
K’(2,-5)

Answers

K' (-2,-5) if it's rotated 90 clockwise but if it's anti-clockwise it will be K'(5,2)

Simplify the following expression (a³b)⁴

Answers

Answer:

a¹²b⁴

Step-by-step explanation:

When terms with exponents are multiplied, the exponents multiply.

(a³b)⁴ = a¹²b⁴

Answer: a^12b^4

Step-by-step explanation:

(a^3b)^4 = (a^3b) x (a^3b) x (a^3b) x (a^3b) = a^12b^4

22. Jordan invests $1000 in an account that pays 7% interest compounded continuously. To the nearest cent, how much will be in the account at the end of 3 years? Use A = Pe! $1233.68
$4352.05
$6122.97
$8166 17​

Answers

Answer:

The formula to find interest over time is I=PRK

so 210=1000*0.07*3

add 210 to 1000 and we get  1210 so  idontknow now now the the answers make any since s0rry

Find the dilated coordinates with the centre of (0,2) and scale factor of 3 for the point D(2, 2).

i neeeddd this pleaseee and thank u

Answers

Answer:

(6, 2)

Step-by-step explanation:

xD' = (0-0) + (3×2) = 0+6 = 6

yD' = (2-0) + (3×0) = 2+0 = 2

the dilated coordinate D' (6, 2)

Answer:

6 and 2 pls answer my questions plss

Which expression(s) are equivalent to the given expression?

6x−18y+36

2(3x−9y+18) 2 times open paren 3 x minus 9 y plus 18 close paren

3(2x−6y+12) 3 times open paren 2 x minus 6 y plus 12 close paren

4(2x−14y+32) 4 times open paren 2 x minus 14 y plus 32 close paren

6(x−3y+36) 6 times open paren x minus 3 y plus 36 close paren

9(6x−2y+4)

Answers

Answer:

2 ( 3x - 9y + 18)

3 ( 3x - 6y + 12)

Inclusively:

6 ( x - 3y + 6)

Answer my question its urgent

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

The water level at Lake Willow
was -14 feet. After 3 days of rain,
the water level rose by 23 feet.
What is the water level after the
rain?
+

Answers

Answer:

9ft

Step-by-step explanation:

-14 + 23 = 9

How many isosceles triangles in this pentagon?

Answers

It should be 8. Correct me if i'm wrong

Answer:

6 triangles

i am not very sure thou

how would i graph -2≤x<4

Answers

Answer:

Step-by-step explanation:

Like that on the graph but on the x axis

Answer:

I hope this helps!

Step-by-step explanation:

what is the slop of the line?


slope = 1/3
slope = -3
slope = 3​

Answers

Answer: slope = 3

Step-by-step explanation:

We can see from the point intersecting the y axis (y-intercept) to the point (1, 1) it goes up 3 and right 1 giving us the slope [tex]\frac{3}{1}[/tex] simplified to 3

find the sum of (2x-12) from x=7 to x=16

Answers

Answer:

it's 2 obviously

Step-by-step explanation:

thanks

b) Write down the formula to find the perimeter of a circle.​

Answers

Answer:

C = 2πr

Step-by-step explanation:

We know that, the perimeter of a figure is equal to the sum of all sides.

A circle having no sides.

The perimeter of a circle = The circumference of the circle

The formula for the circumference of the circle is given by :

C = 2πr

Where

r is the radius of the circle

Hence, this is the required solution.

Find the common difference of the arithmetic sequence.
0, 0.4, 0.8, 1.2, . . .

Answers

Each time it increases by 0.4

0 - 0.4 - 0.8 - 1.2 - 1.6 - 2.0 - 2.4 - 2.8 - 3.2 etc.

What is 5x^3 - 15x^2 factored, completely?

Please show all the work!!

Answers

Answer:

5x²(x - 3)

Step-by-step explanation:

Factor out 5x²

5x²(x - 3)

Answer:

The answer is [tex]5x^{2} (x-3)[/tex].

Step-by-step explanation:

To completely factor [tex]5x^{3}-15x^{2}[/tex], start by factoring [tex]5x^{2}[/tex] out of [tex]5x^{3}[/tex], which will look like [tex]5x^{2} (x)-15x^{2}[/tex].

Next, factor [tex]5x^{2}[/tex] out of [tex]-15x^{2}[/tex], and it will look like [tex]5x^{2} (x)+5x^{2} (-3)[/tex].

Then, factor [tex]5x^{2}[/tex] out of [tex]5x^{2} (x)+5x^{2} (-3)[/tex], and the final completely factored form is [tex]5x^{2} (x-3)[/tex].

5.
Peter earns $9 each hour for the first 40 hours he works each week. For every hour he
works after 40 hours, he earns $12 each hour. Last week Peter earned $444.
Which equation could be used to find the number of hours, h, during which Peter
earned $12 last week?
A. (40 x 9) + h = 444
B. (40 x 9) - h = 444
C. (40 x 9) + 12h = 444
D. (40 x 9) - 12h = 444

Answers

The answer is C 40x9=360
444-360 = 84
84 /12= 7

The answer is C

If g(x)= x+2/x-2 and h(x) = 4 - X, what is the value of (GoH)(-3)?

A.) 8/5

B.) 5/2

C.) 15/2

D.)18/5​

Answers

Answer:

A. 8/5

Step-by-step explanation:

please be careful when typing the question. you made a mistake here (you wrote "x+2" instead of "x+1"). luckily you have provided also the screen shot.

the used symbolism of a composite function is nothing else than asking for

g(h(x)) for x=-3.

so, first we need to calculate h(-3) = 4 - -3 = 7

then we take that result as argument for g : g(7) = 8/5

so, altogether

g(h(-3)) = g(7) = 8/5

we can do this generically for x by substituting x in g by the expression of h

g(h(x)) = ((4-x) + 1) / ((4-x) - 2) = (5-x)/(2-x)

for x = -3 this gives (5- -3)/(2- -3) = 8/5

The value of the composite function  (g o h) (-3) is 9/5.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

First, we need to find the composition g o h, which means we need to substitute h(x) into g(x), so that:

(g o h)(x)

= g(h(x))

= g(4 - x)

= [(4 - x) + 2] / [(4 - x) - 2]

= (6 - x) / (2 - x)

Now, we can find (g o h)(-3) by substituting x = -3 into the expression above, which gives:

(g o h)(-3)

= (6 - (-3)) / (2 - (-3))

= 9 / 5

Therefore,

The value of (g o h)(-3) is 9/5.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Find the 12th term of the geometric sequence 8, 16, 32...

Answers

Answer:

a₁₂ = 16384

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 8 and r = a₂ ÷ a₁ = 16 ÷ 8 = 2 , then

a₁₂ = 8 × [tex]2^{11}[/tex] = 8 × 2048 = 16384

Answer:

16384

Step-by-step explanation:

We know that this is geometric sequence meaning we are multiplying the term before by a constant number.

We can see that 8 x 2 = 16 and 16 x 2 = 32. Meaning the number we are multiplying by is 2.

Terms:

We know that 8 is out first "term" so we don't multiply by anything. 16 is the second and we multiply 8 once to sixteen. 32 is the third and we multiply 8 twice by 2 to get to 32. We can see that the number of times we multiply is always 1 less that the term number.

We can write this equation. 8 x 2 ^ (n-1)

n is the term number.

This makes sense because we start with eight and multiply by two. We raise it to the n-1 power because we know we multiply 2 n-1 times to eight.

Answer:

Let's plug in our numbers!

8 x 2 ^ (12 - 1)

I use twelve because we're trying to figure out the 12th term.

8 x 2 ^ 11 = 16384

If you have a khan academy account I highly suggest you check out the unit about sequences in algebra 1! Good Luck

JoeLouis2

answer as soon as possible

Answers

Answer:

a). 840 b). 14

Step-by-step explanation:

a). 840 miles

350 miles ÷ 25 gallons = 14

14 (miles per gallon) x 60 gallons of gas = 840

b). 14

(first step of the first answer)

350 miles ÷ 25 gallons = 14 miles per gallon

hope this helped!

a) 840 miles can go for 60 gallons of gas.

b) The mileage is 14 miles per gallon.

Here, we have,

given that,

A new truck can travel 350 miles on 25 gallons of gas.

now, we have,

a). we get,

the milage of the truck is:

350 miles ÷ 25 gallons = 14

so, we get,

for 60 gallons of gas it can go:

14 (miles per gallon) x 60 gallons of gas = 840

so, 840 miles can go for 60 gallons of gas.

b). and, again we have,

the milage of the truck is:

(first step of the first answer)

350 miles ÷ 25 gallons = 14 miles per gallon

so, The mileage is 14 miles per gallon.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.

Answers

Answer: 3 7/12

Step-by-step explanation:

1. Solving the whole number

4-1=3

2. Solving the fraction parts

3/4 - 1/6=

Find the LCM. The LCM is 12 so we rewrite the factions like this:

9/12-2/12=7/12

3. Add.

3+ 7/12= 3 7/12

Hey there!

4 3/4 - 1 1/6

= 19/4 - 7/6

= (19 × 6) - (7 × 4) / 4 × 6

19 × 6 = 114

7 × 4 = 28

= 114 - 28 / 4 × 6

4 × 6 = 24

114 - 28 / 24

114 - 28 = 86

= 86/24

= 3 7/12

Answer: 86/24 OR 3 7/12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Pls help.

Thank You So Much if you did!

Answers

Answer:

1 a) 124

Step-by-step explanation:

x +1 /5 =25

x +1 =25*5

x+ 1=125

x = 125-1

x=124

can someone please help!! 30 POINTS!!

Answers

Answer:

y = 5

Step-by-step explanation:

| x | means absolute value. That is number itself ( without the negative sign)

y = |x| - 6

y = | -11 | - 6

y = 11 - 6 = 5

How many solutions are there to the following equation?
2(x + 1) = 2x + 1
A. O
B. 1
C. Infinitely many

Answers

Answer: C. Infinity many

Need to choose answers

Answers

Answer:

Box Number 3.

Step-by-step explanation:

4 is a coefficient in 4x because 4x is really 4*x which has 4 multiplying x. This is the same as 4 working with x. Also none of the other answers are true.

Find the greatest common factor of 15y^4 and 14y^2

Answers

Answer:

y^2

Step-by-step explanation:

Here, we want to get the greatest common factor

Looking at the two, 14 and 15 has no common factors

So, we shift focus to the y raised

We have this as ;

y^2( 15y^2 + 14)

Thus, y^2 is the common factor

True or False:
The value of y in the given equation is 18.
y + 17 = 36
True or false

Answers

Answer:

False ..... ....... . . .. ..

can someone help please...

Answers

Answer:

C. 8

Step-by-step explanation:

You double the distance of the x coordinate (ignore the sign in front of it) because you reflect it across the y-axis. So your math should look like this:

4*2= 8

What is an equation of the line that passes through the points (3, -3) and (6, -1)?​

Answers

Start by finding the slope using m = (y2 - y1)/(x2 - x1). Substituting in you get (-1 + 3)/(6 - 3). So m = 2/3

Next, use y - y1 = m(x - x1) and substitute any of the coordinates in: y + 3 = 2/3(x - 3). That gives you y + 3 = (2/3)x - 2. So tha final answer is y = (2/3)x -5

Which of the following tables represents a function?

Answers

Answer:

The last one

Step-by-step explanation:

Other Questions
In what way does renewable energy differ from nonrenewable energy?A. It is cheaper to produce than nonrenewable energy.B. It is derived from natural resources that cannot be depleted.C. It is never used in automobiles.D. It creates no environmental hazards. Which of the following is a correct statement about water? A)Hydrogen bonding causes water to be strongly cohesive.B)Hydrogen bonding causes water to have a low surface tension.C)Water is a universal solvent because polar and nonpolar solutes can dissolve in it. D) Water is less dense as a liquid than as a solid because of changes in bond structure. Math help please FAST Compare and Contrast How are predation,parasitism, and herbivory similar? How are theydifferent? Use 3.14 = 7 to find the volume of the composite shape below.15 in20 in18 inThe total volume of this composite shape is In a sample of 400 students, 60% of them prefer eBooks. A.Find 98% Confidence Interval for the proportion of all students that prefer ebooksb.b. Find the margin of erro The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000npeople in the city. Let t represent the number of years since 2000 and P represent the population. Write an exponential growth function to model If the scale factor of a figure is 6, what is the new length of the enlarged figure matched to the length of the orginal?Original: 1 cmEnlarged: 6 cmOriginal: 7 cmEnlarged: 42 cmOriginal: 2.5 cmEnlarged: 15 cmOriginal: 5 cmEnlarged: 30 cm What are nerve impulses 1. Image 6 Question: What does this Rope Bridge tell us about this society?They lacked sophisticated engineering techniques.They built an inadequate road system to halt trade.Rope bridges were used to transport their militaryThey developed a complex road system to connect the many regions of their empire. 2. Image 6 Question: Identify which early American civilization built a complex highway system to connect the regions of their empire.AztecIncaMayaOlmec The 2020 June bank statement of Wheeler Ltd has just been received from its bankers. The owner, Ken Wheeler, has been quietly monitoring internal controls over few months and has sufficient grounds to believe that cash is being misappropriated in his business. He has approached an accounting consultant, Tony, to verify his accounting records and confirm his worst fears. Tony is supplied with the reconciliation statement at the end of last month together with the cash records and the most recent bank statement of Wheeler Ltd. What is the slope ? Simplify your answer and write it as a proper fraction The measure of the angle of depression from the top of a 270-meter building to a park bench on the ground is 3645. How far away is the park bench from the building? Round to the nearest whole number. A piece of iron has a mass of 30 g and its volume is 6.2 cm3. What is its density? Which sentencebesttranslates the dukes words into standard English?Walk quickly until you get away from the houses, then chase the raft into the water.Walk quickly past the houses, then walk more quickly until you reach the raft and meet the dickens.Walk quickly until youre past the houses, then run for the raft as if you were being chased. Which of the following is NOT a social science?politicsgeographyphysics economics look at pic 10 pts will mark brainilest question in pictureeeeee Question 22 of 24What would be the effect of including details from daily life in South Americain a story?The story would appeal more to readers outside of South America.B. The story would feel realistic to a South American reader.C. The story would remind readers of the conflict between religions.D. The story would have a more somber tone.OSUSM 4. Which word best describes an effective claim in a literary analysis?A. emotionalB. assertiveC. factualD. supportable