Tiya earns $7 an hour mowing her neighbor's lawn. Part A: Create two variables and determine which is dependent and which is independent for this situation. (4 points) Part B: List three ordered pairs to show the values of the two variables. (3 points) Part C: Write an equation to represent the relationship between the two variables. (3 points)​

variables- H for hours and M for money

Step-by-step explanation:

9514 1404 393

  A) y = earnings (dependent); x = hours (independent)

  B) (x, y) = (0, 0), (1, 7), (2, 14)

  C) y = 7x

Step-by-step explanation:

A) When time is involved, it is usually considered to be the independent variable. Here, earnings depend on time spent mowing, so earnings are the dependent variable. We can assign variables as follows:

__

B) Some ordered pairs might be ...

  (x, y) = (0, 0), (1, 7), (2,14) . . . . earnings for 0, 1, 2 hours spent mowing

__

C) Earnings are proportional to hours. The constant of proportionality is the pay rate: $7/hour. The equation might be ...

  y = 7x

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

squares, rhombus, rectangles