Answer:
783
Step-by-step explanation:
There are 52 weeks in a year. Divide 40,716/52 and you get $783 weekly.
Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
Step-by-step explanation:
Since we have given that
Height = 9 inches
Diameter = 6 inches
Radius = 3 inches
So, 
Volume of cone is given by

By differentiating with respect to time t, we get that

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie 
and h = 2 inches deep.

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
Answer:
Step-by-step explanation:
m = slope where
m = rise / run
rise = y2 - y1
run = x2 - x1
where
the given point P1 = (7, -12)
and is in the form of (x1,y1)
and
the given point P2 = (-9,36)
is in the form of (x2,y2)
then
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( 36 - (-12) ) / ( -9 -7 )
m = ( 36 + 12 ) / ( - 16 )
m = 48 / - 16
m = - 3
the slope is negative 3
slope = - 3
Answer:
c. (x +3)(x + 1)
Step-by-step explanation:
Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

Can be represented as the product of the following,

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

Distribute,

Simplify,

