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
swat32
3 years ago
13

Z^5=-7776i

Mathematics
1 answer:
Sloan [31]3 years ago
7 0

Answer:

Z=+6

Step-by-step explanation:

Z^5=-7776i

Let's note that i I mathematics means negative one i.e

i = -1

So the equation is equal to

Z^5=-*-(7776)

Z^5 = 7776

Z= 5√7776

Since it's a divisible by 6

It's giving us a clue that 6 it's the answer.

Ok let's check the 5th root of 7776 in our calculator.

Z=+6

+6 is the solution to the equation

Z^5=-7776i

You might be interested in
Which is enough information to prove that s is parallel to t? Lines s and t are cut by transversal r to form 8 angles. Clockwise
serg [7]

Answer:The answer is B

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Walk fifty meters at 30o north or east from the old oak tree. (2) Turn 45o to your left (you should now be facing 75o north of e
saw5 [17]

Answer:

A straight line of approximately 75 meters, 1.4º north

Step-by-step explanation:

Hi, let's make it step by step to make it clearer

1) If we walk 50 meters in 30º angle Northeast, assuming the Old Oak tree is the point 0,0 and we're dealing with vectors in R^{2}. To say 30º Northeast is 30º clockwise (or 60º counter clockwise).

2) Then there was a the turning point to the left. If I turn to the left, on my compass 45º , I'll face 75º northeast.

3) Finally, the last vector leads to the treasure from the Old Oak Tree, i.e. the resultant.

So, let's calculate the norm which is the length of the each vector.

1) Graphing them we can find the points, then the components and then calculate the norm, the length of each vector.  

Since the Oak Tree is on (0,0). The turning point (50,86.61) and the Rock (R=(1.4,74,85) we can write the following vectors:

\vec{u}=\left \langle 50,86.61 \right \rangle\\\vec{v}=\left \langle -48.6,-11.76\right \rangle\\\vec{w}=\left \langle 1.4,74.85 \right \rangle

Now, let's calculate each vector length by calculating the norm.

\left \| \vec{u} \right \|=\sqrt{50^{2}+86.6^2}=100\\\left \| \vec{v} \right \|=\sqrt{(-48.6)^2+(-11.76)^2}=50\\\left \| \vec{u} \right \|=\sqrt{(1.4)^2+(74.85)^2}=74.86

The path is almost 75 meters. And since it is less than 15º degrees to the left of the North (or to the right) its direction is still north of the Old Oak Tree.

8 0
3 years ago
Consider the graphs of f(x) and g(x).
butalik [34]

Answer:

The value of k is -7

Step-by-step explanation:

We are given the graph of f(x) and g(x). If g(x)=f(x)+k

If we shift f(x) k unit vertical get g(x).

If k>0 then shift up

If k<0 then shift down.

f(x) and g(x) are both parabola curve.

First we find the vertex of f(x) and g(x)

Vertex of f(x) = (3,1)

Vertex of g(x) = (3,-6)

We can see change in y co-ordinate only.

f(x) shift 7 unit down to get g(x)

g(x)=f(x)-7

Therefore, The value of k is -7

5 0
3 years ago
Read 2 more answers
The next number in series 7,9,13,29 is:​
Alex17521 [72]

Answer:

285

Step-by-step explanation:

9 = 7 + 2¹

13 = 9 + 2²

29 = 13 + 2⁴

285 = 29 + 2⁸

4 0
3 years ago
Katherine Johnson is best known for her work on ________.
Mila [183]

Answer:

Pretty sure she was best known for calculating flight paths of spacecraft.

7 0
2 years ago
Other questions:
  • PLEASE HELP!! AOC and BOD are diameters of a circle, centre O. Prove that triangle ABD and triangle DCA are congruent by RHS.
    7·2 answers
  • What are the factors of the polynomial 25x^2-16
    9·1 answer
  • Help answer please! math question
    11·2 answers
  • Holly records the temperature, in degrees fahrenheit, for two different cities. ln one of the cities, the temperature is 15 degr
    5·1 answer
  • How do I solve this
    15·1 answer
  • Verify that triangle ABC is equal to DEF . Find the scale factor of triangle ABC to triangle DEF
    10·1 answer
  • You have a recipe for coconut cookies. The recipe makes 20 cookies. You need 100 cookies for a bake sale. Increase the recipe pr
    14·1 answer
  • If I can run 5 miles per hour, how far is this in feet per hour?
    14·2 answers
  • 100 Points Again! solve the equations in these 2 pictures.
    9·2 answers
  • PLEASE HELP ME IM SO CONFUSED!!! i need answers 10-12
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!