1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
navik [9.2K]
3 years ago
6

Help me pleasssseeeeeee

Mathematics
2 answers:
sesenic [268]3 years ago
8 0

Answer:

{ \bf{b. \:  \:  {i}^{47} }}

Step-by-step explanation:

{i}^{46}  = ( {i}^{2} ) {}^{23}  =  - 1 \\  \\  {i}^{47}  = (i)( {i}^{46} ) = ( - 1 \times i) =  - i \\  \\  {i}^{48}  = ( {i}^{2} ) {}^{24}  = 1 \\  \\  {i}^{49}  = (i)( {i}^{48}) = (1 \times i) = i

Jlenok [28]3 years ago
3 0

Answer:

i^{46} = -i

~~~~~~~~~~~~~~~~~~~

46/4 = 11 remainder 2 = -i

47/4 = 11 remainder 3 = 1

48/4 = 11 remainder 0 =  i

49/4 = 11 remainder 1 = -1

Step-by-step explanation:

i = \sqrt{-1} = i  (remainder 0)

i^{2} = \sqrt{-1} * \sqrt{-1} = -1 (remainder 1)

i^{3} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1  * \sqrt{-1} = -i (remainder 2)

i^{4} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1  * -1  = 1\\ (remainder 3)

i^{5} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}* \sqrt{-1}=  1 * \sqrt{-1} = i\\ (remainder 0)

The pattern repeats every FOUR in the exponent

You might be interested in
What kind of triangle is this?
NeTakaya

Answer:

Obtuse

Step-by-step explanation:

Has one obtuse angle, i hope this helps you

5 0
3 years ago
Read 2 more answers
The amounts of e-waste generated in a region during two years were 14,200,000 tons and 10,700,000 tons. What was the total e-was
MArishka [77]

Answer:

C

Step-by-step explanation:

c because if 10,700,000 divided by 100000 its a but add that 5 times and its 1014.

6 0
3 years ago
Read 2 more answers
If point G is rotated 90 degrees counter clockwise around the origin, what is the resulting point?
Alex787 [66]

Answer: Point F

Step-by-step explanation:

the formula for rotation of 90 degrees counter-clockwise is (-y, x).

G=(-3,-2)

After 90 degrees counter-clockwise G is =(2,-3) which is equal to point F.

5 0
3 years ago
Which statement is true about the given set of data? {(4, 0), (5, 0), (8, 0), (11, 0)}
Anni [7]

Answer:

a

4,5,8,11 are the domain

Step-by-step explanation:

x is always the domain, input and It could also be a function but I don't think that only four five eight and 11 are functions so I would go with a

7 0
3 years ago
Oregon State University is interested in determining the average amount of paper, in sheets, that is recycled each month. In pre
Juliette [100K]

Answer:

The test statistic is t = 2.79

Step-by-step explanation:

From the question we are told that

    The population mean is \mu   = 59.3

    The sample size is  n  =  79

    The  sample mean is  \= x  = 62.4

    The  standard deviation is  \sigma  =  9.86

Generally the test statistics is mathematically represented as

            t =  \frac{\= x - \mu }{ \frac{ \sigma}{ \sqrt{n} } }

substituting values

          t =  \frac{ 62.2 -  59.3 }{ \frac{  9.86}{ \sqrt{ 79} } }

          t = 2.79

4 0
4 years ago
Other questions:
  • X + 17 is greater than or equal to -3 . Select the correct solution set
    12·1 answer
  • Please solve this hsjsf
    13·2 answers
  • Give the values of a, b, and c needed to write the equation's general form. 1/4x^2 + 5 = 0
    6·2 answers
  • The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
    7·1 answer
  • Determine the radius of a circle with a circumference of 14 pi inches ​
    12·2 answers
  • Please help me with this question I will mark you as the best answer if correct
    6·2 answers
  • 7¼× 8/9×3/4<br>find the sum ​
    11·1 answer
  • If you can paint 75 square feet every 45 minutes how long will it take to paint a 8 by 5
    11·2 answers
  • Can you calculate my BMI<br>weight: 40g<br>height: 1.67m ​
    8·1 answer
  • Tickets for a concert cost $8 online plus a $3
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!