Answer:
b = -6
Step-by-step explanation:
Apply the exponent rule that 
In this case, 
Set that equal to 
:
Apply the exponent rule that 
so now you get:
Since the base is y for both sides of the equation, just set the exponents equal to each other and solve for b.
4b = -24
divide each side by 4 to get:
b = -6
Answer:
Based on the model, the length of the wall is 
ft, the width of the wall is 
ft, and the height of the wall is 
ft. The volume of the portion of security wall that Tim has constructed so far is 
cu ft.
Step-by-step explanation:
Given:
The figure constructed shows a rectangular prism made up of small wooden cubes of length 
.
Width of the prism = 
.
To find length , height and volume of the figure.
Solution:
From the figure we can conclude that :
Length side of the prism counts 9 cubes.
Thus, length of the prism will be given as :
⇒ 
⇒ 
⇒ 
(Answer)
Height side of the prism counts 11 cubes.
Thus, height of the prism will be given as :
⇒
⇒ 
⇒ 
(Answer)
Volume of the prism can be given as :
⇒ 
⇒ 
⇒ 
(Answer)
Answer:
it might be D
Step-by-step explanation:
im pretty sure
Answer:
Elissa needs 4 quarts of paint, or 1 gallon.
Step-by-step explanation:
Elissa's room is in the shape of a rectangular prism. Assuming that she will only be painting the walls and not the floor or ceiling, you just need to calculate the area of the four walls - front and back and side to side. Based on the dimensions given, the area of Elissa's front and back walls are 8 ft x 9 ft or 72 ft² for each wall. Since there are two, we take that area times two: 72 x 2 = 144 ft².
Elissa's side walls are 8 ft x 13 ft or 104 ft² for each wall. Since there are two, we take this area times two: 104 x 2 = 208 ft².
To find the total area needed to paint, we add all four walls: 144 + 208 = 352 ft². Since a quart of paint covers 100 ft² and a gallon covers 400 ft², Elissa can either purchase 4 quarts of paint or 1 gallon to paint her bedroom.
