Carlos has been working out to get stronger. At the beginning, Carlos was able to do 20 pushups. Each week he is able to do 5 more pushups. Which equation shows the total number of pushups, t, that Carlos can do after a certain number of weeks w?

20+5w=t

Step-by-step explanation:

He starts with 20, so no matter what 20 will be added to the equation. Carlos gains 5 pushups each week. So that can be written as: 5w, because 5 pushups per week. So, it looks like this, 20+5w=t. The =t at the end represents the total amount of pushups he can do after w weeks.

Hope this helps.

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

its an acute right triangle

step-by-step explanation: