Answer:
There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.
The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.
How to find?
There are 4 fourth roots of unity and they are 1, i,−1 and−i
Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ( 2 π ) + i sin ( 2 π ) = 1.
Five pieces can be selected in 1287 ways
Step-by-step explanation:
When the selection has to be made without considering the order of selection, combinations are used.
The formula for combination is:
Here
Total candies = n = 13
Candies to be selected = r = 5
Putting the values in the formula
Five pieces can be selected in 1287 ways
Keywords: Combinations, selection
Learn more about combinations at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
We know that the area of the living room can be calculated with the formula for find the area of a rectangle. This formula is:
Where:
is the lenght of the original living room, and
is the width of the original living room.
If he creates the addition that causes the dimensions to triple, then the new area of Garrett’s living room is:
Answer:
Please check the explanation.
Step-by-step explanation:
Given the English statement
''The sum of two and number is less than five''.
Let us breakdown the statement.
We know that the less than symbol is denoted by '<' which is used for comparison.
Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:
Let us solve the algebraic expression.
Subtract 2 from both sides
Simplify
Thus, the solution is:
Please also check the attached solution line graph.
