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Blizzard [7]
1 year ago
7

FFA Entrepreneurship Entries

Mathematics
1 answer:
Gala2k [10]1 year ago
5 0

Answer:

$12

Step-by-step explanation:

30x.4=12 dollars for fuel

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DIscrete Math
Daniel [21]

Answer:

Step-by-step explanation:

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

  1. f : X \rightarrow Y is surjective implies there exists a function h : Y \rightarrow X such that  f\circ h = 1_Y.
  2. 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
2 years ago
Rectangle ABCD with coordinates A(1, 1), B(4, 1), C(4, 2), and D(1, 2) dilates with respect to the origin to give rectangle A'B'
Virty [35]

Scale factor is a ratio. The correct option is C.

<h3>How are scale drawings formed?</h3>

For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.

Then it means

\rm 1\:  ft : \dfrac{s}{k}\:  in.

All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.

The length of AB can be written as,

AB = √[(1-4)²+ (1-1)²]

AB = 3

Since the length A'B' is 6 units, therefore, the scale factor will be,

Scale factor = (Length after transformation)/(Length before transformation)

Scale factor = 6 /3 = 2

Hence, the correct option is C.

Learn more about Scale factors:

brainly.com/question/8765466

#SPJ1

8 0
2 years ago
5) Naomi is sewing some clothing. She has 53 yards of fabric to use. She
EleoNora [17]

The inequality that represents the number of each type of fabric that Naomi has is:

9x+16y \leq 53

Let the number of short-sleeved shirts she made be x

Let the number of long-sleeved shirts she made be y

Length of clothes used to make a short-sleeved shirt = 9 yards

Length of clothes used to make a long-sleeved shirt = 16 yards

Length of short-sleeved shirts made = 9x

Length of long-sleeved shirts made = 16y

Total length of fabric used = 53 yards

The inequality that represents the number of each type of fabric that Naomi has is:

9x+16y \leq 53

Learn more on inequality here: brainly.com/question/15269537

6 0
2 years ago
What statement is true?
givi [52]

Answer:

\frac{18}{32}>\frac{16}{32}

Step-by-step explanation:

We need to find which statements are true.

Solution to find the same we will solve each statement and will conclude the same.

1.  \frac{14}{21}>\frac{17}{24}

Now On solving we get;

\frac{14}{21} = 0.66

\frac{17}{24}=0.70

So we can see that 0.70 > 0.66

Hence The given statement is False.

2. \frac{18}{32}>\frac{16}{32}

Now On solving we get;

\frac{18}{32}=0.5625

\frac{16}{32}= 0.5

So we can see that 0.5625 > 0.5

Hence The given statement is True.

3.  \frac{20}{15}

Now On solving we get;

\frac{20}{15} = 1.33

\frac{28}{23}=1.2

So we can see that 1.33 > 1.2

Hence The given statement is False.

4.  \frac{29}{35}

Now On solving we get;

\frac{29}{35}= 0.82

\frac{20}{30}= 0.66

So we can see that 0.82 > 0.66

Hence The given statement is False.

7 0
3 years ago
Help me please I don’t know how to
Irina-Kira [14]

Answer:

A: 22

Step-by-step explanation:

2The interquartile range begins at 45 and ends at 67. All you need to do is subtract 45 drom 67, and you get 22.

4 0
2 years ago
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