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3 years ago

The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?

Mathematics

1 answer:

romanna [79]3 years ago

4 0

Answer:

$22.95

Step-by-step explanation:

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3 years ago

What is 8 hours and 37 minutes in seconds?

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3 years ago

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Terry spent $33.25 to have 475 fliers printed for his business. What was the cost of a single flier?

Elanso [62]

Answer:

Step-by-step explanation:

divide 33.25/475 and you'll get 7 cents per flier

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2 years ago

DIscrete Math

Daniel [21]

Answer:

Step-by-step explanation:

As the statement is ‘‘if and only if’’ we need to prove two implications

$f : X \rightarrow Y$ is surjective implies there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ .
If there exists a function $h : Y \rightarrow X$ such that $f\circ h = 1_Y$ , then $f : X \rightarrow Y$ is surjective

Let us start by the first implication.

Our hypothesis is that the function $f : X \rightarrow Y$ is surjective. From this we know that for every $y\in Y$ there exist, at least, one $x\in X$ such that $y=f(x)$ .

Now, define the sets $X_y = \{x\in X: y=f(x)\}$ . Notice that the set $X_y$ is the pre-image of the element $y$ . Also, from the fact that $f$ is a function we deduce that $X_{y_1}\cap X_{y_2}=\emptyset$ , and because $f$ the sets $X_y$ are no empty.

From each set $X_y$ choose only one element $x_y$ , and notice that $f(x_y)=y$ .

So, we can define the function $h:Y\rightarrow X$ as $h(y)=x_y$ . It is no difficult to conclude that $f\circ h(y) = f(x_y)=y$ . With this we have that $f\circ h=1_Y$ , and the prove is complete.

Now, let us prove the second implication.

We have that there exists a function $h:Y\rightarrow X$ such that $f\circ h=1_Y$ .

Take an element $y\in Y$ , then $f\circ h(y)=y$ . Now, write $x=h(y)$ and notice that $x\in X$ . Also, with this we have that $f(x)=y$ .

So, for every element $y\in Y$ we have found that an element $x\in X$ (recall that $x=h(y)$ ) such that $y=f(x)$ , which is equivalent to the fact that $f$ is surjective. Therefore, the prove is complete.

3 0

3 years ago

how do I solve 7v-(2v-16)=5(v+4) please explain if it is a one solution, no solution or infinite solution

Sergio039 [100]

Do the indicated mult. first:

7v - 2v + 16 = 5v + 20
5v + = 5v +20. This is never true. NO solution.

3 0

3 years ago