Find the magnitude of the vector from the origin to 8,6 and write the vector as the sum of unit vectors.

The magnitude of a vector is simply the Pythagorean Theorem!

\sqrt{a^2+b^2} = magnitude

a

2

+b

2

=magnitude

a=8, b=-6

\sqrt{8^2+(-6)^2} = magnitude

8

2

+(−6)

2

=magnitude

magnitude = 10

Unit vector: (8/10, -6/10).

Divide by 10!(magnitude)

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation:

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: