Answer:
y=58x+460
Step-by-step explanation:
y=mx+b
We are given m=58 so we have
y=58x+b
We are given (-8,-4) is a point on the line.
-4=58(-8)+b
-4=-464+b
460=b
So the line in slope intercept form is y=58x+460
When an spherical balloon volume is increasing at the rate of 
then the diameter of the balloon is increasing 
How can we find the rate of change of balloon's diameter ?
The volume of a spherical balloon is 
In form of diameter we can write as
Now we will differentiate both sides wrt to 
we get
Given in the question 
thus when we substitute the values we get
Learn more about the differentiation here:
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Answer:
-8+(+12)+)
Step-by-step explanation:
dont know
The wall area is the product of the room perimeter and the room height:
A₁ = (2*(12.5 ft + 10.5 ft))*(8.0 ft) = 368 ft²
The window and door area together is
A₂ = 2*((4 ft)*(3 ft)) + (7 ft)*(3 ft) = 45 ft²
The area of one roll of wallpaper is
A₃ = (2.5 ft)*(30 ft) = 75 ft²
Then the number of rolls of wallpaper required will be
1.1*(A₁ - A₂)/A₃ ≈ 4.74
5 rolls of wallpaper should be purchased.
_____
As a practical matter, not much of the window and door area can be saved. The rolls are 30 inches wide, but the openings are 36 inches wide. Some will likely have to be cut from two strips. The strips will have to be the full length of the wall, and the amount cut likely cannot be used elsewhere. If the window and door area cannot be salvaged, then likely ceiling(5.4) = 6 rolls will be needed (still allowing 10% for matching and waste).
Answer:
Lateral surface area would be (13*4)*2 + (4*4)*2 = (52*2) + (16*2) = 104 + 32 = 136 units^2.
Surface area would be 136 + 104 = 240 units^2.
Step-by-step explanation:
I hope this helps you!
