Questions:
A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?
Answer:
32 units of fabrics
Step-by-step explanation:
Given
Required
Find f when a = 4
Substitute 4 for a
Rewrite as:
Square both sides
Collect Like Terms
Divide through by 2
Square both sides
Collect like terms
Factorize
or 
f can not be 0 because some units must be ordered.
So, f = 32
Answer:
The Universe is thought to consist of three types of substance: normal matter, 'dark matter' and 'dark energy'. Normal matter consists of the atoms that make up stars, planets, human beings and every other visible object in the Universe.
Step-by-step explanation:
Answer:
16 and 46.
Step-by-step explanation:
Answer:
A/B = 0.125
Step-by-step explanation:
Givens
r for Sphere A = 4
r for Sphere B = 8
Solution
Volume A = 4/3 pi r^3
r = 4
Volume A = 4/3 pi 4^3
Volume A = 4/3 pi 64
Note: there is no point in expanding the result. 4/3 and pi are going to cancel out when you set up the volume formula
Volume B = 4/3 pi * r^3
r = 8
Volume B = 4/3 pi * 8^3
Volume B = 4/3 pi * 512
Ratio A to B = 4/3 pi * 64 / 4/3 * pi * 512 Cancel 4/3 pi
Ratio A to B = 64/512
Ratio A to B = 1/8
Ratio A to B = 0.125
I think it's the 0.0011098779
