in decimal form it is 45.2
in exact form it is 32 squareroot 2
Answer:
19% change
Step-by-step explanation:
Since, Emerson has an associate degree,
His employment is 19% changed in 10 years, i.e. from 2008 to 2018.
Because the bar graph shown the percentage of change in employment from 2008 to 2018.
Also, Employment of associate degree is most affected in 10 years.
And those who have job training and work experience is least affected in these 10 years.
Answer:
Step-by-step explanation:
As the statement is ‘‘if and only if’’ we need to prove two implications
is surjective implies there exists a function 
such that 
.- If there exists a function such that , then is surjective
Let us start by the first implication.
Our hypothesis is that the function is surjective. From this we know that for every 
there exist, at least, one 
such that 
.
Now, define the sets 
. Notice that the set 
is the pre-image of the element 
. Also, from the fact that 
is a function we deduce that 
, and because the sets are no empty.
From each set choose only one element 
, and notice that 
.
So, we can define the function 
as 
. It is no difficult to conclude that 
. With this we have that 
, and the prove is complete.
Now, let us prove the second implication.
We have that there exists a function such that .
Take an element , then 
. Now, write 
and notice that . Also, with this we have that 
.
So, for every element we have found that an element (recall that ) such that , which is equivalent to the fact that is surjective. Therefore, the prove is complete.
The quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3
<h3 /><h3>How to solve fraction</h3><h3 />
n³ / (2n - 6) ÷ n³ / (3n - 9)
- multiply by the reciprocal of n³ / (3n - 9)
= n³ / (2n - 6) × 1 / n³ / (3n - 9)
= 2n - 6 / 3n - 9
= 2(n - 3) / 3(n - 3)
= 2/3
Therefore, quotient of the fraction n³ / (2n - 6) ÷ n³ / (3n - 9) is 2/3
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