There are so many little things that go into organic farming and each of them adds additional costs. Some of these additional costs are listed in the article located here. Use the data table at the end of the document to answer the questions. Which cost category in the table shows an example of direct variation? The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? What would be the total cost for office expenses for 24 months?

Answer:20

Step-by-step explanation:

Given Wind speed is 2 mile/hr

Let jamie speed be x km/hr

Also she covered 44 miles with wind in time t

Against the wind

divide the two equations

11x-22=9x+18

x=20 miles/hr

Answer:

r(180°,0) is a rotation of 180° degrees over the origin.

Notice that this rotation moves our figure to the opposite quadrant (so a translation of two quadrants).

Then this is equivalent to:

A reflection over the x-axis followed by a reflection over the y-axis.

Or.

A reflection over the y-axis followed by a reflection over the x-axis.

There is another possible reflection, but it depends on where is our figure.

If the figure is in the first or third quadrant, a reflection over the line y = -x is equivalent to the rotation.

If the figure is in the second or third quadrant, then the reflection over the line y = x is equivalent to the rotation.

We can combine those two and write:

A reflection over the line y = (-1)^n*x.

Where n is the number associated with the quadrant where the figure is in.

Final answer:

A rotation reflection, r(180°, O)(△BCD), can be achieved by performing two reflections over intersecting lines.

If the lines intersect at an angle of 90 degrees, the combination of the two reflections would result in a 180-degree rotation.

Explanation:

The mathematical question requires knowledge of geometrical transformations, specifically, reflections.

The rotation reflection, r(180°, O)(△BCD), means the initial triangle within the plane is reflected over a point 'O' by 180 degrees.

This reflection will result in an image equivalent to a series of two reflections over intersecting lines.

In commonly accepted mathematical conventions, it is generally accepted that any rotation can be represented by two reflections over intersecting lines.

For instance, two reflections over lines intersecting at an angle ∅/2 represent a rotation by an angle ∅, hence, a rotation by 180 degrees would mean the intersecting angle is 90 degrees.

Learn more about Geometrical Transformations here:

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Answer:

The given statement:

Only regular polygons with an even number of sides are symmetrical is a FALSE STATEMENT.

Step-by-step explanation:

A symmetrical figure or a polygon means that if it is into halves such that the halves looks similar or match exactly then the figure is said to be symmetrical.

We know that a regular polygon with 'n' number of sides has exactly n number of axis of symmetry.

Hence, no matter whether the regular polygon has even number of sides or odd number of sides it will be symmetrical.

Answer: false

took the quiz

Answer:

Step-by-step explanation:

In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4

How to find the cube root

The cube root of 63 would be gotten from a calculator when we use this formula

The solution that we would have from the calculator would be 3.97. The value 3.97 is known to be greater than 3 by a lot but just a little less than 4 on the number line.

3.97 can be approximated to be 4. Hence we can say that In words the place that the cube root of 63 would appear on the number line would be: between 3 and 4, but closer to 4

Answer: A. between 2 and 3, but closer to 2.

Step-by-step explanation:

The cube root of 24 is a number that, when multiplied by itself three times, equals 24. To determine where this cube root would be plotted on a number line, we can compare it to other numbers.

Let's start by finding the perfect cubes of some numbers. The perfect cube of 2 is 2*2*2 = 8, and the perfect cube of 3 is 3*3*3 = 27. Since 24 is between 8 and 27, we know that the cube root of 24 would be between 2 and 3 on the number line.

Now, to determine if it's closer to 2 or 3, we can consider the difference between the cube of each of these numbers and 24. The cube of 2 is 2*2*2 = 8, and the difference between 8 and 24 is 24-8 = 16. The cube of 3 is 3*3*3 = 27, and the difference between 27 and 24 is 27-24 = 3.

Since 16 is greater than 3, we can conclude that the cube root of 24 is closer to 2 than to 3. Therefore, it would be plotted on the number line between 2 and 3, but closer to 2.