You're working at a theater where you are evaluating attendance at several events. from the first event
to the second event, attendance dropped from 250 to 230. find the percent decrease to the nearest percent.

The percent decrease  is 8 percentage.

Step-by-step explanation:

Given:

Attendance dropped from 250 to 230

To Find:

Percent decrease to the nearest percent.

Solution:

Step 1: Calculate the change (subtract old value from the new value)

The old attendance value =  250

The new attendance value =  230

the change is  = 250-230 = 20

Step 2:  Divide that change by the old value (you will get a decimal number)

Dividing the change by the old attendance value

=>

=> 0.08

Step 3:Convert that to a percentage (by multiplying by 100 and adding a "%" sign)

=>

=> 8%

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

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.