The table represents an exponential function.

what is the ratio of outputs for any two inputs that are two values apart?

divide the larger output by the smaller output.

enter your answer, as a decimal to the nearest hundredth, in the box.

number of years from now value of a scooter ($)
0 45
1 48.24
2 51.71
3 55.44
4 59.43

a) 1.15 b) 1.32

Step-by-step explanation:

Given the table below

Number of years from now | value of a scooter ($)

0 | 45

1 | 48.24

2 | 51.71

3 | 55.44

4 | 59.43

a) For ratio of output that are 2values apart, we can take our output at year 0 and year 2 respectively since they are 2values apart in input.

The ratio of the output will results in 51.71:45

= 51.71/45

= 1.15(to nearest hundredth)

b) The value of the scooter are the output.

The larger output occurs during the fourth year while the smaller input occurs at year 0.

Larger output = 59.43

Smaller output = 45

Dividing the larger output smaller output gives:

59.43/45

= 1.32( to nearest hundredth)

mr. graef told us it is 13 pints

step-by-step explanation:

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12