Answer:
2.04 seconds
Step-by-step explanation:
Falling objects near the surface of the earth have an acceleration of -9.81 m/s².
Acceleration is the change in velocity over change in time:
a = (v − v₀) / t
-9.81 = (-30.0 − (-10.0)) / t
-9.81 = -20.0 / t
t = 2.04
It takes 2.04 seconds.
Answer:
The traveler can plan such a tour in 3003 ways.
Step-by-step explanation:
The order that the cities are chosen is not important, since it is chosen by the company and not by the traveler. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

In this problem, we have that:
Combinations of 5 cities from a set of 15. So

The traveler can plan such a tour in 3003 ways.
The difference is 6 because it is what we get when we subtract 8 and 2.
Final answer: 6
Point-slope:
y-y1= m(x-x1)
Plug in what you know.
y1= 1 and x1= -8
y-1= 2/5(x-(-8)
y-1= 2/5(x+8)
Distribute.
y-1=.4x+ 3.2 <- that is the final answer
I hope this helps!
~kaikers