Simplify i41
i
−1
−i
1

Answers

Answer 1

Answer:

Its i

Step-by-step explanation:

I got it right on the test

Answer 2

The value of the given expression is i.

We want to simplify the expression [tex]i^{41}[/tex].

What is an imaginary number?

An imaginary number is a real number multiplied by the imaginary unit i, which is defined by its property i² = −1. The square of an imaginary number bi is −b².

The given expression [tex]i^{41}[/tex] can be written as [tex](i^{4})^{10}.i[/tex]

The value of i²=-1, then [tex]i^{4}[/tex]= i².i²=(-1)(-1)=1

Now, [tex](1)^{10}.i=1\times i=i[/tex]

Therefore, the value of the given expression is i.

To learn more about an imaginary number visit:

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Related Questions

Quanto é 60 x 11 + 346²

Answers

Answer:

120376

Step-by-step explanation:

Primeiro peguei 60x11 e os multipliquei e obtive 660. Em seguida, descobri que 346 ^ 2 é 119716. Somei meus dois números e obtive 120376.

Espero que isso ajude você! :)

I need help on these​

Answers

is that online school ?

Step-by-step explanation:

7 is C. 47.50

8 is B. 5 miles

If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATION to determine what the club should charge to maximize its income from dues.

Answers

Answer:

The value is      [tex]y  =  \$ 225[/tex]

Step-by-step explanation:

From the question we are told that

   The amount charge per year is  [tex]k  =  \$ 200[/tex]

   The  number of members it will have at this amount is  [tex]n  =  50[/tex]

   The amount amount increase that will lead to the loss of a single member is   [tex]z =  \$ 5[/tex]

        Generally the total amount the club would obtain from  its members is mathematically represented as

      [tex]I  =  Amount \  due\ paid *  Number \  of members[/tex]

Now let x denote the number of member lost

Hence

      [tex]I  =  (k + zx) (n-x )[/tex]

=>    [tex]I  =  (200 + 5x) (50-x )[/tex]

=>  [tex]I  = 10000+50x-5x^2[/tex]

Thus the number of members that be removed to  give the maximum  income from dues is obtained by differentiating the above equation and equating it to zero

           [tex]\frac{dI}{dx}  =  50-10x[/tex]

=>         [tex] x   =  5[/tex]

So from  [tex]I  =  (200 + 5x) (50-x )[/tex] we have

          [tex]I  =  (200 + 5 (5)) (50-5 )[/tex]

           [tex]I  = \$ 10125 [/tex]

So the amount the club should charge is    

         [tex]y  =  \frac{10125}{50 - 5}[/tex]

         [tex]y  =  \$ 225[/tex]

         

What is the average rate of change of the function f (x) = between x = 1 and
x= 3?

Answers

Answe

try asking your techer for help and try divideing

Step-by-step explanation:

Determine parallel, perpendicular, or neither!

Answers

Rearrange Line 1 and Line 3’s equations in the form of y = mx + c for easier comparison.

Lines 1 and 2 are parallel, because they have the same gradient.

Lines 1 and 3, and 2 and 3 are neither, because their gradients do not multiply to form -1.
(Gradients of perpendicular lines multiply to form -1.) c

can someone help with all of these, please

Answers

Answer:

See below

Step-by-step explanation:

1. Option D

d. -6 < x ≤ 6

2.  Option C

y = 3

3.  Option B

Travis only. Tim's graph only covers positive range

4. No options provided

Domain x = (-oo, +oo)Range y = [-4, 3]

Amy, Kareem, and Jim served a total of 123 orders Monday at the school cafeteria. Kareem served 4 times as many orders as Jim. Amy served 9 fewer orders than Jim. How many orders did they each serve?

Answers

They each served 289

Choose the sentence that uses engaging details to describe Mr. Lee. A:Mr. Lee is an older man with gray hair who smiles a lot. B:Mr. Lee looks nice when he smiles. C: Mr. Lee’s entire face crinkles and lights up when he smiles.

Answers

Answer: Mr. Lee’s entire face crinkles and lights up when he smiles.

Step-by-step explanation:

Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.

Given that,
From the sentences, we have to determine the sentence that emphasizes the engaging details.

What is engaging details?

Content created by someone who is enthusiastic about the subject they are writing about is the most engaging content. If you write with passion and explain to readers why you are passionate, you might be able to persuade them to love your company as much as you do.

Here,
Option A and Option B is incorrect because the sentence describes different entities over the face.
While in option C engaging sentence the smile tends to bring crinkles and lights up the face.

Thus, Mr. Lee’s entire face crinkles and lights up when he smiles. Option C is correct.

Learn more about engaging sentences here,
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Solve the equation.
1/2K-(k+1/5)=1/10(k+2)

Answers

Answer:

k=−23

Step-by-step explanation:

I hope this help if you need step by step just comment

Enter the reciprocal of the fraction. 14/ 3

Answers

Answer:

3/14

Step-by-step explanation:

simply  flip the number

(3x +1)•2x – x^2 • 3
(3x + 1)^2

Answers

Answer:

3x^2 +2x9x^2 +6x+1

Step-by-step explanation:

[tex](3x +1)\cdot 2x - x^2 \cdot 3\\\\=2x\left(3x+1\right)-3x^2\\\\\mathrm{Expand}\:2x\left(3x+1\right):\quad 6x^2+2x\\\\=6x^2+2x-x^2\cdot \:3\\\\\mathrm{Simplify}\:6x^2+2x-x^2\cdot \:3:\\\quad 3x^2+2x[/tex]

2.

[tex](3x + 1)^2\\\\\mathrm{Apply\:Perfect\:Square\:Formula}:\\\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=3x,\:\:b=1\\\\=\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2\\\\\mathrm{Simplify}\:\left(3x\right)^2+2\cdot \:3x\cdot \:1+1^2:\\\quad 9x^2+6x+1[/tex]

I have 30 ones 2 thousands 4hundred thousands 60tens and 100 hundreds what number am I

Answers

Answer:

412,090

Step-by-step explanation:

math+math+brain+school

2+99999999-7+638378892=?

Answers

Answer:

738,378,886

Step-by-step explanation:

1) Add 2+99,999,999 which equals to 100,000,001

2) Then, subtract 100,000,001 with 7 which is 99,999,994

3) Finally, add 99,999,994 with 638,378,892 which is 738,378,886

Hope this helps!

A question asks: How many hours per week do you watch television? The respondent can answer in minutes and/or hours. What would be the best numerical summary of data from 300 participants? A. Mean, standard deviation, and range B. Median, IQR, and range C. Number and percent of total for each response option D. A or B depending on the distribution of the sample E. B and C

Answers

Answer: D. A or B depending on the distribution of the sample

Step-by-step explanation:

Given: A question ask about how many hours per week do you watch television?

Total participants = 300

Since all participants are different ,  so have their own answer to this question in numerical terms.

We use proportion or percentage to summarize data if data is categorical, but here data is numerical (continuous).

here , we can use either mean or median ( if it has outliers).

For this we need to check the distribution of the data, if it is normal then Mean, standard deviation, and range would be a better option (as mean is the best measure of tendency)otherwise Median, IQR, and range would be a better option .

hence, the correct option is D. A or B depending on the distribution of the sample

square root of 4/16
can be classified as a____
number and a____
number.

Answers

rational and whole, 4/16 equals 4

What is the exact value of cos(195°)?

Answers

Answer:

I think it is the option c.

please mark me as the brainliest answer and please follow me for more answers to your questions.

Give the numerical coefficient of the term.
8m2

Answers

8 is the numerical coefficient because 8m means 8 times m,and “m” is
A variable, so 8 is a coefficient.

if
[tex] \sqrt{16} [/tex]
=x then x^2 = ​

Answers

Answer
16
I hope this help you

What number goes on top?

Answers

Answer:

33

Step-by-step explanation:

each upper cell is the sum of the two cells under it. For example 4 and 5 make 9 so 16+17=33

Given 8x^2 – 3 + 4, what is (are) the constant(s)?

Answers

Answer:

-3 and 4

Step-by-step explanation:

[tex]-3[/tex] and [tex]4[/tex] are the constants

since they aren't multiplied a variable

-3 and 4 would be your answer

picture attachment is below

Answers

Answer:

D

Step-by-step explanation:

A rational number will either end or repeat forever like the first three, but the fourth one, pi, will go on forever and never repeat, making it irrational.

Give another name for AE

Answers

Answer:  [tex]\text{Line AE}=\overleftrightarrow{EA},\quad \overleftrightarrow{DA}, \quad \overleftrightarrow{AD},\quad \overleftrightarrow{ED},\quad \overleftrightarrow{DE},\quad \text{line r}[/tex]

               [tex]\text{Segment AE}=\overline{EA}[/tex]

Step-by-step explanation:

The line can be named using ANY two points on the line or using the lower case letter.

The segment can be named by placing the letters in any order.

[tex]\overline{AE}=\overline{EA}[/tex]

The values in the table define the function Alx). If g(x) is the inverse of Ax), what is the value of g(1)?
xfx)
-1
-3
1
-1
4
1
6
4.
7
6

Answers

Answer: im pretty sure its D. 4

Step-by-step explanation:

Evaluate the expression.
35 - (9+8) X 2 =?

Answers

Answer:

35-(17)×2

35-34

i think it helps you

☽------------❀-------------☾

Hi there!

~

[tex]35-(9+8)\times 2=[/tex]

[tex]= 35 - (17)(2)[/tex]

[tex]= 35 - 34[/tex]

[tex]= 1[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

A standard number cube is rolled. Calculate: P(rolling 1 or 3)

Answers

Answer:

the probability is:

P(A) 2/6 =1/3

Now let's take rolling a prime number:

A prime number is a natural number greater than 1 which can only be divided without a remainder by 1 and itself. So from the numbers on the cube prime numbers are:

2, 3 and 5. The probability of getting a prime number in a single roll is:

P(B) =3/6=1/2

Now to calculate the probability of A and B

you have to multiply both probabilities:

P(A-B)=P(A) . P(B) = 1/3 . 1/2 = 1/6

Step-by-step explanation:)

Pls help i dont understand :( will mark brainliest!!

Answers

Answer:

375< y < 525

Step-by-step explanation:

The minimum is 15* 25 = 375

the maximum is 15 * 35 =525

He can earn any amount between these two values

What is the equation of the line that is parallel to y = 2/3x+ 4 and passes through
the point (-7, 1)?

Answers

Answer:

The answer is

[tex]y = \frac{2}{3} x + \frac{17}{3} [/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is y = ⅔x + 4

Comparing with the general equation above

Slope = 2/3

Since the lines are parallel their slope are also the same

Slope of parallel line = 2/3

Equation of the line using point (-7 , 1) and slope 2/3 is

[tex]y - 1 = \frac{2}{3} (x + 7) \\ y - 1 = \frac{2}{3} x + \frac{14}{3} \\ y = \frac{2}{3} x + \frac{14}{3} + 1[/tex]

We have the final answer as

[tex]y = \frac{2}{3} x + \frac{17}{3} [/tex]

Hope this helps you

What is the midpoint of A F?

Answers

Hey there! I'm happy to help!

A is -10 and F is -5. To find the number in between two numbers, you add them and divide by 2.

-10+(-5)=10-5=-15

-15/2=-7.5

So, the midpoint is -7.5, which is right in between C and D.

Have a wonderful day! :D

144:12 = (60:12) +(__ : 12)

Answers

Answer:

x=84

Step-by-step explanation:

144/12 = 60/12 + x/12

12=5+x/12

12-5=x/12

7=x/12

x=84

plyy mark me as brainliest

Identify the numerator and denominator of the following number.
1/6

Answers

The numerator is the top number while the denominator is the bottom number. So 1 is the numerator and 6 is the denominator.
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