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VARVARA [1.3K]
3 years ago
11

Simplify the expressions. i^23

Mathematics
1 answer:
masha68 [24]3 years ago
8 0

Answer:

-i

Step-by-step explanation:

i^0=1

i^1=i

i^2=-1

i^3=-i

i^4=1

This repeats so we want to see how many 4 factors of i there is in i^(23) which is 5 with a remainder of 3.

So i^(23)=i^3=-i.

i^(23)=i^(5*4+3)=(i^4)^5 * (i^3)=(1)^5 * (-i)=1(-i)=-i.

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Question 11
dem82 [27]

Answer:

There were 49 questions on this Geometry test.

Step-by-step explanation:

You can start by setting up a proportion:

x = total number of questions on Geometry test

\frac{37}{x} = \frac{75.51}{100}

Now, to solve for x, cross multiply:

75.51x = 3700

Finally, isolate x and solve:

x = 49.0001324328

This is very close to 49.

3 0
3 years ago
X =<br><br> a.) 100<br> b.) 120<br> c.) 140<br><br> I would appreciate that
34kurt
Hmmm if the question is about the triangle and the "top" angle, the answer will be c= 140.
5 0
3 years ago
What is the measure of the lowercase c?
Leona [35]
The measure of angle c would be 84
3 0
3 years ago
Which ratio is equivalent to 4/16 A. 2:4•• B. 6 to 20 C. 8:32 D. 12 to 64 Write the ratio as a unit rate. 286 miles in 5 1/2 hou
NeX [460]
1) Which ratio is equivalent to [tex] \frac{4}{16} [tex]?
[tex] \frac{4}{16} * 2 = \frac{8}{32} [tex], or 8:32.

2) Write the ratio as a unit rate [tex] ( \frac{286miles}{5 \frac{1}{2} hours} ) [tex]
Set the equation up like this:
[tex] \frac{286miles}{5 \frac{1}{2} hours} = \frac{Xmiles}{1 hour}\\
286*1=(5 \frac{1}{2})*x\\
286 = \frac{11x}{2}\\
11x= 572 [tex]
x = 52 [tex] \frac{miles}{hour} [tex]

3) Which typing time is fastest? I answered this earlier, refer to it please refer to it: brainly.com/question/2560190
6 0
3 years ago
1) Find the inverse function of f(x)=1/2x+3
dexar [7]
 y = 1/2x + 3
change x and y

x = 1/2y + 3
now find the value of y and that is inverse function 

x - 3 =1/2 y
y = 2x- 6
 
f-(x) = 2x - 6
<u />

for both domain : ( - ∞ , + ∞ )

range f (x) : ( - ∞ , + ∞ )  - { 0 }
range f-(x) :( -∞ , +∞)
8 0
3 years ago
Read 2 more answers
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