Answer:
5,040
Step-by-step explanation:
Hmmm...this one is a bit tricky. First, prepared contains 8 letters. To find the number of ways this can be rearranged use the fundamental counting principle.
First letter - 8 choices
Second letter - 7 choices
Third letter - 6 choices
So the number of outcomes would be 
But wait, there's more. Prepared has some duplicate letters, the P, R, and E. That means if the letters were written ppeerrad it would be indistinguishable if it was the first or second P written first. So that means the letter P generates 2 outcomes that appear the same
Same for the letter R
And same for the letter E
Answer:
c = -5
d = -10
Step-by-step explanation:
A biologist is tracking a bird when it was at A.
Coordinates of point A are (2, 4).
This bird moves from point A to point B.
Coordinates of the point B are (-3, -6).
Vector form of vector represented by 
By substituting the coordinates of points A and B,
= < -5, -10 >
By comparing it with the vector form of [cd]
c = -5
d = -10
Given slope(m) is 5 and y-intercept(b) is 4. so you simply plug in where it belongs into the equation, y = mx + b
y = 5x + 4
hope this helped, God bless!
If you represent the problem in a diagram, you will form a triangle with 3 known length of the sides. When you are given all sides, and you are asked to find an angle, you can use the cosine law.
b^2 = a^2 + c^2 - 2ac*cosB
1.4^2 = 1.9^2 + 1^2 - 2(1.9*1)(cosB)
B = 45.78°
A B C D E F G and L are proportional
and H I J and K are non-proportional.
