Match each function formula with the corresponding transformation of the
parent function y = 3 x 1. y = 3-x Reflected over the y-axis 2. y = 3x + 1
Translated down by 2 units 3. y = -3x Translated left by 1 unit 4. y = 3x + 1
Reflected over the X-axis 5. y = 3x - 2 Translated right by 2 units 6. y = 3x - 2
Translated up by 1 unit

Answer:

The answer is " \(A=(60-y)(60-x)\)".

Step-by-step explanation:

Well, we have set the range at 120 feet.

That implies that \(2x+2y=120\)

we already know that perhaps the area of the an elevator is xy, thus in the perimeter measurement we have to solve both x and y.

\(2x=120-2y\\\\x=60-y\\\\2y=120-2x\\\\y=60-x\)

These numbers are now plugged in to our A=xy range equation for:

\(A=(60-y)(60-x)\)

Answer:

A on edggggggggggg

Step-by-step explanation:

The correct answer is OA. It is the graph of f(x) translated 11 units to the right.

The transformation g(x) = f(x - 11) represents a horizontal translation of the graph of f(x) = x.

When we substitute x - 11 into the function f(x), it shifts the entire graph 11 units to the right.

This is because for every value of x in f(x), we are now evaluating f(x - 11), which means the x-values are shifted to the right by 11 units.

Therefore, the correct statement is that g(x) is the graph of f(x) translated 11 units to the right.

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Step-by-step explanation:

Using the integer rule, we can determine:

\( - 35 + 4 - 65 - 8\)

Simplify from left to right:

\( - 31 - 65 - 8 \)

\( -96 - 8\)

\( - 104\)

Answer:

9/14 dividend

27/28 quotient

Step-by-step explanation:

Dividend is the one being divided by the divisor

quotient is the answer

Answer/Step-by-step explanation:

Relationship of angle pairs considering the given diagram are as follows:

1. <d and <e are alternate interior angles. They are opposite inner sides of the transversal.

2. <e and <h are vertically opposite angles. They share the same vertex (corner) formed by the two line that crossed.

3. <a and <e are corresponding angles. They occupy the same position as a line crosses the other two lines together.

4. <c and <d are a linear pair. They are angles on a straight line and are supplementary.

The relationships between the angle pairs are:

1. Angle d and angle e are alternate interior angles.

2. Angle e and angle h are vertically opposite angles.

3. Angle a and angle e are corresponding angles.

4. Angle c and angle d form a linear pair.

The relationships between the angle pairs in the given diagram can be described as follows:

1. Angle d and angle e are alternate interior angles.

They are located on opposite sides of the transversal and inside the pair of lines.

2. Angle e and angle h are vertically opposite angles.

They are formed at the same vertex (corner) where the two intersecting lines meet.

3. Angle a and angle e are corresponding angles.

They are positioned in the same relative location as a line intersects the other two lines simultaneously.

4. Angle c and angle d form a linear pair.

They are adjacent angles on a straight line and add up to 180 degrees, making them supplementary.

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a continuous probability distribution the outcomes can take any value within a given range.

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Answer: Choice C

\(\displaystyle g(x) = \left(\frac{1}{2}\right)5^{x+3}-2\)

=====================================================

Explanation:

The 1/2 out front handles the vertical compression by 1/2. For example, if two points are vertically spaced by 10 units, then their new vertical distance is now (1/2)*10 = 5 units.

The x+3 in the exponent means "shift 3 units to the left". Effectively what's going on is that the old input x is now x+3, ie 3 units larger than before. This shifts the xy axis itself 3 units to the right. If we held the curve fixed in place while the xy axis moved like this, then it gives the illusion the curve is moving 3 units to the left.

Then finally the -2 at the very end shifts the curve down 2 units. This is because whatever the y coordinate is, we subtract 2 from it to do this vertical shifting. For example, the point (0,62.5) shifts 2 units down to (0,60.5)

The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.

The equation of a line is represented as,

y = mx + c                                       equation1

x and y are the coordinates of the point from where the line is passing and m is the slope of the line.

As per the question the line is passing from the point (6, -3). This means value of x = 6 and that of y = -3. The slope of line is (1/2), means m = (1/2).

The slope of the line through the point (-1,6) can also be written as   (y - 6)/(x - (-1))  =  (y-6)/(x+1).

i.e., m = (y-6)/(x+1)

On equating both the values of m, we will get

(y-6)/(x+1) = 1/2

On simplifying, we get

2y - 12 = x +1

or  2y - x = 13

The equation that represents the line that passes through the point (6, −3) and has a slope of one half is 2y - x = 13.

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The maximum rectangular area that can be fenced can be

2499 sq meters.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know for a quadrilateral, A square has the maximum area.

We also know That the product of two numbers is maximum when the difference between them is minimum.

Given, A farmer has 2,000 meters of fencing and wants to use it to create a rectangular area for grazing.

So, 2(l + b) = 2000.

l + b = 1000.

For a square, it would be 500 and 500, But to be a rectangle it can be 49 and 51.

Therefore, The maximum area would be,

= (51×49) sq meters.

= 2499 sq meters.

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Answer:

2m

Step-by-step explanation:

To find length you need to find the square root of 4 m².

√4 m² = 2m

To prove the given trigonometric identity: \(cot(x+y) = )\frac{(cot(x)cot(y) - 1) }{(cot(x) + cot(y)}\), we can use the definition of cotangent and some trigonometric identities.

Recall that \(cot(x) = \frac{1}{tanx}\) and \(tan(x) = \frac{sin(x)}{cos(x)}\).
First, let's find the\(tan(x+y)\)using the angle sum formula for tangent:
\(tan(x+y)=\frac{(tan(x) + tan(y))}{ (1 - tan(x)tan(y))}\)
Now, substitute cot(x) and cot(y) using the definition of cotangent:
\(tan(x+y) =\frac{ (1/cot(x) + (1/cot(y)}{(1 - (1/cot(x))(1/cot(y))}\)
To simplify the expression, find the common denominator for the numerators:
\(tan(x+y) = \frac{ (cot(x)cot(y) + cot(x) + cot(y)) }{cot(x)cot(y) - 1}\)
Now, take the reciprocal of both sides to get \(cot(x+y)\)
\(cot(x+y) =\frac{ (cot(x)cot(y) - 1)}{ (cot(x) + cot(y))}\)
So, we have proven that \(cot(x+y) = \frac{ (cot(x)cot(y) - 1)}{ (cot(x)cot(y) - 1)}\)

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Answer:

12.00 because you can change 15% to 0.15 then multiply 80 and 0.15 together and it will give you 12.00

Answer:

There are 0 solutions

Answer:

Zero

Step-by-step explanation:

Let's solve the equation first.

For now, I will focus on the LHS and simplify that:

3(x + 2) = 3x + 1

3x + 6 = 3x + 1

Rearrange

3x - 3x = 1 - 6

Simplify

0x = -5

0 = -5 which isn't true

So 3(x + 2) = 3x + 1 has 0 solutions.

The graphics tool used to help determine whether a process is in control or out of control is a. control chart.

A graphical tool used to help determine whether a process is in control or out of control is a control chart. A control chart is a chart used to monitor the stability of a process over time and to distinguish between common cause and special cause variation. It displays data points in relation to upper and lower control limits, which are calculated using statistical methods.

The control chart provides a visual representation of the process and enables users to identify trends, shifts, or other patterns that may indicate that the process is out of control.

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The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

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The formula for slope is,

Answer:

X= 5.

Step-by-step explanation:

Basically, any number that is greater than 2.5

Hope this helps. =)

Answer:

answer in the picture step by step

The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.

A correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.

Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.

However, it is important to note that correlation does not imply causation.

It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.

Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.

To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.

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By using Excel Solver, the maximum value of Z is achieved when X = 30 and Y = 60, resulting in Z = 210.

The given problem is a linear programming problem that seeks to maximize the objective function Z = 2X + 3Y, subject to a set of constraints.

The first constraint is 0.3X + 0.4Y < 150, which represents an upper limit on the combination of X and Y. The second constraint is 0.25X + 0.5Y ≤ 20, indicating another upper limit. The third constraint is X + 1.5Y ≤ 90, representing a third upper limit. The fourth constraint is X > 0, meaning that X must be greater than zero. The final constraint is Y ≥ 0, indicating that Y must be greater than or equal to zero.

To solve this problem using Excel Solver, we set up the objective function and the constraints in a spreadsheet. We use Solver to find the maximum value of Z by adjusting the values of X and Y within the specified constraints.

Running Solver with the given problem formulation, we find that the maximum value of Z is achieved when X = 30 and Y = 60. Plugging these values into the objective function, we get Z = 2(30) + 3(60) = 210. Therefore, the maximum value of Z is 210 when X = 30 and Y = 60.

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Answer:

x1=-25,x2=23

Step-by-step explanation: hope it helps :)

The final image will fit in a similar portfolio with an area of 160 square inches.

To obtain the area of a rectangle, you need to multiply its length by its width. The formula for the area of a rectangle is:

Area = Length x Width.

The dimensions for this problem are given as follows:

24 inches, 36 inches.

With the reduction with a scale factor of 1/3, the dimensions are given as follows:

8 inches,  12 inches.

With the enlargement by a factor of 1.25, the dimensions are given as follows:

10 inches and 15 inches.

Hence the area is given as follows:

15 x 10 = 150 square inches.

As the area of 150 square inches is less than 160 square inches, the final image will fit in a similar portfolio with an area of 160 square inches.

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could you please re post the question clearly as right now I don't understand what this means, you can try just taking a picture of the question and attach it to your post

The length of the legs of square ABCD is 2√2.

We have,

Applying the Pythagorean theorem.

Square has all sides equal.

So,

4² = x² + x²

16 = 2x²

x² = 8

x = √8

x = √(4 x 2)

x = 2√2

Thus,

The length of the legs of square ABCD is 2√2.

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The cross-sectional area of a sphere that passes through its center is a circle with a diameter equal to the diameter of the sphere. In this case, the diameter of the sphere is 6.69 meters * 2 = 13.38 meters.

The formula for the area of a circle is: A = π * r^2, where r is the radius.

Therefore, the cross-sectional area of the sphere that passes through its center is: A = π * (13.38/2)^2 = π * (6.69)^2 = 136.57 square meters.

A sphere is a three-dimensional shape that has a uniform, rounded surface that is symmetrical in all directions. When you cut a sphere through its center, you get a cross-sectional area that is a circle.

This is because a sphere can be thought of as a set of circular cross-sections that are concentric with each other and with the center of the sphere.

The cross-sectional area of the sphere that passes through its center is called the central cross-section of the sphere. It has the same diameter as the sphere itself and its area can be calculated using the formula for the area of a circle: A = π * r^2, where r is the radius of the circle.

In this case, the sphere has a radius of 6.69 meters, which means that its diameter is 6.69 * 2 = 13.38 meters.

The radius of the central cross-section of the sphere is half of the diameter, which is 6.69 meters. Therefore, the area of the central cross-section of the sphere is: A = π * (6.69)^2 = 136.57 square meters.

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An expression which can be used to find the total number of squares below (see attachment) is: B. 7 × 5

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to determine the total number of squares that are shown in the image attached below. By critically observing the image, we can reasonably and logically deduce that there are five (5) categories of squares and each of them comprises seven (7) squares.

Therefore, the total number of squares can be calculated by using this expression:

Total number of squares = 7 × 5

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Angle 1 = 54.

Step-by-step explanation:

54+36= 90 or 90-36=54