Answer:
Since stress is greater than ultimate strength, the wire will break.
Step-by-step explanation:
The titanium wire is experimenting an axial load. Ultimate strength equals
. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (
), measured in pascals, in the wire with circular cross-section is:
(1)
Where:
- Axial force, measured in newtons.
- Cross-section diameter, measured in meters.
Please notice that axial force is the weight of the man hanging from wire.
If we know that
and
, then the axial stress experimented by the titanium wire is:


Since stress is greater than ultimate strength, the wire will break.
An integer is any whole number (not fractions) that can be either negative or positive.
1 is the only integer because 0.5 and 3/2 are not whole numbers and are fractions, while 1 is a whole number.
Answer:
solution is 9a^16
Step-by-step explanation:
(6)^2= 36
(a^5)^2= a^25
36a^25/(9a^9)
(36/9)= 4
(a^25)/(a^9)= a^(25-9)= a^16
The correct answer is A.
You have direct variation if x and y are modeled by the equation

In this case, m is the constant of proportionality. So, if the constant has to be 2, the equation becomes

A side note: Actually, option C has a constant of proportionality of two as well, except the roles of x and y are interchanged. I chose option A because usually you want the y = mx form, but the names of the variables are obviously meaningless.