Answer:
Step-by-step explanation:
We can determine the power of a complex number by the De Moivre's Theorem, which states that for all 
, where 
, the power of the complex number is:
(1)
Where:
- Magnitude of the complex number, dimensionless.
- Direction of the complex number.
If we know that 
, 
and 
, then the fourth power of the complex number is:
![z^{4} = 1^{4}\cdot \left[\cos\left(\frac{8\pi}{3} \right)+i\,\sin\left(\frac{8\pi}{3}\right)\right]](https://tex.z-dn.net/?f=z%5E%7B4%7D%20%3D%201%5E%7B4%7D%5Ccdot%20%5Cleft%5B%5Ccos%5Cleft%28%5Cfrac%7B8%5Cpi%7D%7B3%7D%20%5Cright%29%2Bi%5C%2C%5Csin%5Cleft%28%5Cfrac%7B8%5Cpi%7D%7B3%7D%5Cright%29%5Cright%5D)
Answer:
73>16
Step-by-step explanation:
The answer is 11.265408 km.
To calculate the number of kilometers, we will use several conversions:
A) 1 mi = 63,360 in
B) 1 in = 2.54 cm
C) 1 cm = 0.00001 km
A) 1 mi = 63,360 in
7 mi = 63,360 in · 7 = 443,520 in
B) 1 in = 2.54 cm
443,520 in = 2.54 cm · 443,520 = 1,126,540.80 cm
C) 1 cm = 0.001 km
1,126,540.80 cm = 0.00001 km · 1,126,540.80 = 11.265408 km
This is a system of equations problem.
Blueberry = X, blackberry = Y
Joe:
5x + 10y = 135
James:
x + 9y = 104
Let’s isolate x from James’ equation.
x = 104 - 9y
Now substitute that into the first equation.
5(104 - 9y) + 10y = 135
520 - 45y + 10y = 135
-35y = -385
y = -385/-35. The negatives cancel out, leaving us with $11 for blackberries.
Now we can substitute that value into James’s equation.
x + 9(11) = 104
x = 104 - 99
x = $5
Final answer: Blueberry pies cost $5, blackberry pies cost $11.
Answer:
g=12
Step-by-step explanation:
4(2y)=24
8y=24
y=3
Since we know the value of y we substitude
36=3g
g=12
