The weight of the air in the room is 172.8 lb if the dimensions of a living room are 18 ft. by 15 ft. by 8ft.
<h3>What is a rectangular prism?</h3>
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
It is given that:
The dimensions of a living room are 18 ft. by 15 ft. by 8ft.
The volume of the living room = volume of the cuboid:
V = length×width×height
V = 18×15×8
V = 2160 cubic ft
The weight of the air = 0.08 lb. per cubic foot
The weight of the air in the room = 0.08×2160
The weight of the air in the room = 172.8 lb
Thus, the weight of the air in the room is 172.8 lb if the dimensions of a living room are 18 ft. by 15 ft. by 8ft.
Learn more about the rectangular prism here:
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Answer:
A=z
B=-2
C=0
D=30
Step-by-step explanation:
First lets simply the equation
21 - (2x +3)2 + 4(1-1) + z^3
21 - (2x^2 + 9) + 4(0) + z ^3
21 - 2x^2 + 9 + z^3
- 2x^2 + z ^3 + 30
This means that:
A=z
B=-2
C=0
D=30
Answer: Directly proportional.
Step-by-step explanation:
The increase of one variable which causes the other variable to increase points to a directly proportional relationship between the two variables. Similarly, the decrease of one variable will cause a decrease in the other variable.
One variable can also be the constant multiple of the other. This means that if one changes, the other one will change in PROPORTION to it.
Just plug in one of the other (doesn't matter which one) so it will look like
-3x+6=5x+38
or
5x+38=-3x+6 (it's the same thing as the first one)
Then you solve for x and you substitute that value so you can get y.
Hope this helped :)
First, put it into point-slope form.
Find the slope:
m=(y2-y1)/(x2-x1)
m=(-6-(-2)/(2-1)
m=(-6+2)/1
m=-4/1
m=-4
Now, put it into point-slope:
y-y1=m(x-x1)
y-2=-4(x-(-6)
y-2=-4(x+6)
y-2=-4x-24
Slope intercept form: y= mx+b
Add 2 to the other side.
y=-4x-22 <== the answer
I hope this helps!
~kaikers
