Minnie graphs the temperature over a 24-hour period. which type of graph should she use? a. a discrete graph b. a continuous graph c. a bar graph d. a histogram

I would chose either C or D

B. a continuous graph

Step-by-step explanation:

A discrete graph is a graph of disconnected points.  This would be useful for instances where the independent variable could be, for example, only integer values.  However during a 24 hour period, there can be portions of hours; therefore disconnected points would not best represent this.

A continuous graph, however, is a graph of connected points.  It illustrates that there are different portions of values between two given x-values.  This is a good representation of temperature over time.

Bar graphs and histograms are useful to display the frequency of something; since there is not likely to be multiple instances of one temperature over 24 hours, these are not good displays for this situation.

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