Answer:
Step-by-step explanation:
The rates are additive: you can calculate the<em> inlet </em>rate and the <em>outlet</em> rate and add them algebraically, i.e. the inlet rate will be positive and the outlet rate will be negative.
<u>1. Inlet rate:</u>
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<u>2. Outlet rate:</u>
<u>3. Net rate:</u>
<u>4. Time to fill the vat</u>
Hi there!
Assuming "Find the product" means multiplying (4x-3) by (3x+8) and factor to it's simplest form the answer would be:
12x²+23x-24
The way you solve this is by using the distributive property of multiplication as shown below:
Start by multiplying -3 from (4x-3) by everything in (3x+8)
3x*(-3) = -9x
8*(-3) = -24
Once you've done that you then multiply everything 4x
4x*8 = 32x
4x*3x = 12x²
(Note: when multiplying two of the same variables like x it means you are multiplying x by itself which is the same as x²)
When you put all of this together it looks like this
12x²+32x-9x-24
from there we combine like terms
32x-9x = 23x
to get
12x²+23x-24
I hope this helps!
God bless,
ASIAX
Answer:
The perimeter of the shape is of 40.56 units.
Step-by-step explanation:
Perimeter of a shape:
The perimeter of a shape is the sum of the lengths of all its sides.
In this question:
The sides are a = 9.60, b = 9.33, c = 4.46, d = 8.56, e = 8.61.
So
The perimeter of the shape is of 40.56 units.