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
never [62]
3 years ago
7

I need help with simplifying this fraction!

Mathematics
1 answer:
frozen [14]3 years ago
7 0

\bf \stackrel{\textit{let's recall that}}{i^2=-1\qquad \qquad i^4=1} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{i^{23}}\implies \cfrac{3}{i^{20+2+1}}\implies \cfrac{3}{i^{20}i^2 i}\implies \cfrac{3}{i^{4\cdot 5}i^2 i}\implies \cfrac{3}{(i^4)^5 i^2 i}\implies \cfrac{3}{(1)^5(-1)i} \\\\\\ \cfrac{3}{-i}~\hspace{7em}\stackrel{\textit{and if we rationalize the denominator}}{\cfrac{3}{-i}\cdot \cfrac{i}{i}\implies \cfrac{3i}{-i^2}\implies \cfrac{3i}{-(-1)}}\implies 3i

You might be interested in
May I please receive help?
Yuki888 [10]

Answer:

9.2 ft

Step-by-step explanation:

The shape is a triangle, the 11 ft is your hypotenuse

You need to use the Pythagorean Theorem!

a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)

so --->

a^2 + (6^2) = 11^2

      a^2 + 36 = 121

             ~subtract 36 to the right side~

               a^2 = 85

now find the square root of 85:

               a = 9.21954

        round it to the nearest tenth:

                   a = 9.2

final answer: 9.2 ft

hope this helpsss

3 0
3 years ago
Read 2 more answers
Simplify your answer should contain only positive exponents<br>(3x^2)^4​
S_A_V [24]

Answer:

81x^8

Step-by-step explanation:

i hope this helps :)

8 0
3 years ago
Help me please!!!!!!!!
OLga [1]

Answer:

A ≈ 75 in²

Step-by-step explanation:

the area (A) of the circle is calculated as

A = πr² ( r is the radius )

here r = 5 and using 3 for π , then

A = 3 × 5² = 3 × 25 = 75 in²

6 0
2 years ago
Read 2 more answers
Which phrase best describes f(x) graphed on the on the coordinate plane below?
Gennadij [26K]

We know that

Odd function:

When we have

f(-x)=-f(x)

Even function:

When we have

f(-x)=f(x)

We will reflect our graph about y-axis

When we reflect about y-axis

we will get same graph except same curve moves to bottom

so, this is odd function

option-A........Answer


6 0
4 years ago
Read 2 more answers
a company offers a raffle whose grand price is a $35,000 new car. Additional prizes are a $900 television and a $600 computer. T
aleksklad [387]
3000 tickets, 3 prizes

1/3000 * 35,000 = $11.67 gain
1/3000 * 900 = $0.30 gain
1/3000 * 600 = $0.20 gain

Cost $18

$11.67 + 0.30 + 0.2 - 18 = - 5.83

Loss of $5.83 per ticket
7 0
3 years ago
Other questions:
  • Is 1.34 a non-terminating decimal
    13·2 answers
  • NEED HELP PLEASE ASAP! please only answer if your actually going to help :(
    6·1 answer
  • Rewrite the radical in exponential form
    9·1 answer
  • 10 points but I need help please
    15·1 answer
  • Twice the smallest of three consecutive odd integers is three more than the largest. Find the integers. (Enter your answers as a
    5·1 answer
  • Air containing 0.04% carbon dioxide is pumped into a room whose volume is 6000 ft3. The air is pumped in at a rate of 2000 ft3/m
    9·1 answer
  • Solve 4x^4+7x^2-2=0<br> Choose the factored form of the polynomial expression
    12·1 answer
  • X1 − x2 + x3 = 6
    12·1 answer
  • An investor buys shares of stock for $24 per share. Three years later the value has increased by 15%. What is the new value of e
    15·1 answer
  • The perimeter of a rectangle is 250 yards. The length is ten less than twice the width. The rectangle's:
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!