Jenya answered 24 out of 30 questions correctly on her math test and 21 out of 25 questions correctly on her science test. On which test did she score higher?

Science Test

Step-by-step explanation:

Math test:

24/30 so divide 24 by 30 to see the percentage she got, which is 80%

Science test:

21/25, same process as before, 21 divided by 25 is 84%

Therefore, she scored higher on the science test.

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

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right