Jessica jogs on a path that is 25 km long to get to a park that is south of the jogging path. if it takes jessica 2.5 hours then what is her speed and velocity?

Speed = 10 km per hour

Velocity=10km/h towards south.

Step-by-step explanation:

Hi, to solve this problem we have to analyze the information given:

direction: south

So, we have to calculate the speed we have to divide the distance by the time:

Speed = 25km / 2.5 h =10 km per hour (speed)

The velocity is the speed in a direction.

Velocity: 10km/h towards south.

Feel free to ask for more if it´s necessary or if you did not understand something.

table 1

step-by-step explanation:

1-16

2-32

4-64

8-128

all multiples of 16

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!