Answer:
216 cubic meters
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Is shaded 5/8 of the area of the rectangle
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of triangle ABC represent 1/4 of the total area
 The area of triangle CDE represent 1/8 of the total area
The shaded region is composed by one triangle equal to triangle ABC and three triangles equal to triangle CDE
so
The area of the shaded region is equal to

therefore
Is shaded 5/8 of the area of the rectangle
 
        
             
        
        
        
Answer:

Step-by-step explanation:
we know that
The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero
The roots of the polynomial function are
x=-6 -----> (x+6)=0
x=-5 -----> (x+5)=0
x=-1 -----> (x+1)=0
The equation of the cubic polynomial is

where
 a is the leading coefficient
Remember that
f(0)=60
That means ------> For x=0 the value of f(x) is equal to 60
substitute the value of x and the value of y in the function and solve for a




so

Applying the distributive property
Convert to expanded form                  

 
        
             
        
        
        
Answer:
D
Step-by-step explanation:
(4/5)x*5=8*5
4x=40
4x/4=40/4
x=10
 
        
             
        
        
        
X= assistant's wage
x+15= instructor's wage
Add their wages set equal to $65
x + (x + 15)= 65
combine like terms 
2x + 15= 65
subtract 15 from both sides 
2x= 50
divide both sides by 2
x= $25 assistant's wage
x+15= 25 + 15= $40 instructor's wage
ANSWER: (C) $25 hourly wage of assistant 
Hope this helps! :)