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
Base of the exponential equation should be (-1).
And finally the product or result should also be a negative number.
Let us take a variable for n natural numbers.
(Note: All positive whole numbers are called natural numbers that is 1,2,3,4,5,....).
In order to get the expression, we need to find the expession for odd natural numbers.
We know,
The expession for odd natural numbers is given by = 2n-1.
Where n= 1,2,3,4,5...
If we have an odd exponent of a negative number, it always gives a negative number.
We got, base = -1 ( a negative number) and
exponent = (2n-1) ........... expression for odd number.
Therefore, we could write final exponential expression that would give a negative for all natural numbers.

Answer:
? =6.97
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 35 = 4 / ?
Multiply each side by ?
? sin 35 = 4
Divide each side by sin 35
? = 4/sin 35
? =6.973787182
To the nearest hundredth
? =6.97
Answer:
-7/8
Step-by-step explanation:
- 2 5/8 * 1/3
Change the mixed number to an improper fraction
2 5/8 = (8*2+5)/8 = 21/8
-21/8 *1/3 = -7/8