Answer:
Changes in size and shape are examples of physical changes in matter
Let <em>V</em> be the volume of the tank. The inlet pipe fills the tank at a rate of
<em>V</em> / (5 hours) = 0.2<em>V</em> / hour
and the outlet pipe drains it at a rate of
<em>V</em> / (8 hours) = 0.125<em>V</em> / hour
With both valves open, the net rate of water entering the tank is
(0.2<em>V</em> - 0.125<em>V </em>) / hour = 0.075<em>V</em> / hour
If <em>t</em> is the time it takes for the tank to be full, then
(0.075<em>V</em> ) / hour • <em>t</em> = <em>V</em>
Solve for <em>t</em> :
<em>t</em> = <em>V</em> / ((0.075<em>V</em> ) / hour)
<em>t</em> = 1/0.075 hour
<em>t</em> ≈ 13.333 hours
Hey there!!
∛x - 5 = ∛ 4x + 1
Cube on both sides
x - 5 = 4x + 1
Add 5 on both sides
... x = 4x + 6
Subtract 4x on both sides
... -3x = 6
Divide by -3 on both sides
... x = 6 / -3
... x = -2
Hence, the final answer is -2.
Hope my answer helps!!
Answer:
54
Step-by-step explanation:
Answer:
75 in²
Step-by-step explanation:
From the diagram, you can see that the shape is made up of a square and 4 triangles. (We know it's a square as the width = length).
First, find the area of the square.
Area of a square = width x length = 5 x 5 = 25 in²
All the triangles are the same, so we need to find the area of one of the triangle and multiply it by 4.
Area of a triangle = x base x height = x 5 x 5 = 12.5 in²
So total area of 4 of these triangles = 4 x 12.5 = 50 in²
Therefore the total surface area = 25 + 50 = 75 in²