Answer:
(0,8)
Step-by-step explanation:
Given that the cubical piece has side (s) 7 mm, and a cylindrical hole of diameter (d) as 3 mm.
The volume of the piece can be calculated as,
It is mentioned that the material costs $207 per cubic meter, so the cost (c) of 1 piece is calculated as,
This is the cost (in dollars) for 1 piece.
Given that the manufacturer wants to produce 1,000,000 such pieces, so the total cost (TC) is calculated as,
Thus, the total prototypes will cost around $60.75
Answer:
a) 1/27
b) 16
c) 1/8
Step-by-step explanation:
a)
One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:
And now, solving for x = 9 we have:
b)
This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression
c)
Using the same property we used in a) we have:
And now, solving for z = 16 we have:
Answer:
<em>Hope the link helps! Sorry I didn't explain. I couldn't find the less than sign. </em>
If (y-1) is a factor of f(y), f(y)=0 when y=1. So if you find that f(1)=0, then (y-1) is a factor of f(y).
f(y)=y^3-9y^2+10y+5
f(1)=1-9+10+5=7
Since f(1)=7, (y-1) is not a factor.