Answer:
The answer is "
"
Step-by-step explanation:
When the value of
has the following properties:


Calculating the value of
:
![= 13 \times [ \cos(1.75 \pi ) + i \sin(1.75 \pi) ] \\\\= 13 \times[\cos(1.75 \pi - 2\pi ) + \ i \sin(1.75 \pi - 2\pi )]\\ \\= 13 \times [\cos(-0.25 \pi ) +\ i \sin(-0.25 \pi) ]\\\\= 13 \times [0.707106781 - 0.707106781]\\\\ =9.19 - 9.19\ i \\\\](https://tex.z-dn.net/?f=%3D%2013%20%5Ctimes%20%5B%20%5Ccos%281.75%20%5Cpi%20%29%20%2B%20i%20%5Csin%281.75%20%5Cpi%29%20%5D%20%5C%5C%5C%5C%3D%20%2013%20%5Ctimes%5B%5Ccos%281.75%20%5Cpi%20-%202%5Cpi%20%29%20%2B%20%5C%20i%20%5Csin%281.75%20%5Cpi%20-%202%5Cpi%20%29%5D%5C%5C%20%5C%5C%3D%2013%20%5Ctimes%20%5B%5Ccos%28-0.25%20%5Cpi%20%29%20%2B%5C%20%20i%20%5Csin%28-0.25%20%5Cpi%29%20%5D%5C%5C%5C%5C%3D%2013%20%5Ctimes%20%5B0.707106781%20-%200.707106781%5D%5C%5C%5C%5C%20%3D9.19%20-%209.19%5C%20i%20%5C%5C%5C%5C)
Answer: C; 3 4/2
Step-by-step explanation: A fraction exponent can be represented using a radical. The base number is the number in the radical. The numerator of the fraction is the exponent inside the radical. The denominator is the type of radical.
An exponential always crosses at (0,1) This function crosses at (0.6) meaning it has shifted up 5 units or +5. These means only answer options A and D are possible solutions. Also, since the graph starts high and ends low and leveling out, this means the base is less than 1. Only 3/4 is less than 1. Answer A is the solution.
hope this helps, thank you! :)
Answer:
$100 increase
Step-by-step explanation:
500 x 20%
= $100 increase
Answer:
10.36
Step-by-step explanation:
- $47 - $42.13 = $4.87
- ($4.87 ÷ $47) × 100 = 10.36%
Question 1:
F(x) and g(x) are like variables, just plug into the equation.
f(x) + g(x) = (x + 6) + (12x - 7)
x+6+12x-7 = 13x-1
Question 2: f(3) + g(-1)
You plug in the x-values into the equation, and then take the answer and add them together.
f(3) = 3+4
g(-1) = 12(-1)-6
f(3) = 7
g(-1) = -18
7 + (-18) = -11
Question 3:
This is similar to question 1, plug in the variables and simplify.
9x - (7x+3)
Remember to distribute the "-"
9x - 7x - 3
2x - 3