Answer:
C.$0.15 I TOOK IT ON STUDY ISLAND
Step-by-step explanation:
First, you want to find an exact point on the graph. What I mean by this is you want to go somewhere on the graph where the line goes through an exact y and x value.
Second, you want to figure out where this x and y value are. Where the graph first goes through two points is at (20, 3).
Third, you want to figure out what the 20 and the 3 mean. 20 is the number of messages and 3 is the dollar amount.
Finally, to calculate the amount of money per message, you divide the dollar amount (3) by the number of messages (20). So, you have 3/20. After this, simplify 3/20 to get 0.15, or 15 cents per message.
First list all the terms out.
e^ix = 1 + ix/1! + (ix)^2/2! + (ix)^3/3! ...
Then, we can expand them.
e^ix = 1 + ix/1! + i^2x^2/2! + i^3x^3/3!...
Then, we can use the rules of raising i to a power.
e^ix = 1 + ix - x^2/2! - ix^3/3!...
Then, we can sort all the real and imaginary terms.
e^ix = (1 - x^2/2!...) + i(x - x^3/3!...)
We can simplify this.
e^ix = cos x + i sin x
This is Euler's Formula.
What happens if we put in pi?
x = pi
e^i*pi = cos(pi) + i sin(pi)
cos(pi) = -1
i sin(pi) = 0
e^i*pi = -1 OR e^i*pi + 1 = 0
That is Euler's identity.
Perimeter of square = 4 x l
so ATC 4 x l = 240
= 240/40= l
so 60 = l
the answer is 60 inches.
B is the Y-intercept or where the graph crosses the y-axis. they provide you with a few things which can help you figure this out. they give you the values of x and y in a table
X | Y
2 | -5
4 | -9 The difference between each Y value is 4...so, I add 4 to the -5
6 | -13 and get -1...going up another value for the X would be at 0. This leaves me with an ordered pair of (0,-1).....thus, the value of b is -1.
1.) 8.88= 4.44 (x -7)
8.88 = 4.44x - 31.08
+31.08 +31.08
39.96 = 4.44x
39.96 / 4.44x
9 = x