Wesley has three different rectangular stickers. The red sticker is V2 cm
long and 1.5 cm wide. The green sticker is v12 cm long and 0.5 cm wide.
The yellow sticker is 3 cm long and 1.25 cm wide. Order the side lengths of
the stickers from greatest to least. Which sticker has the greatest area?

Answers

Answer 1

The order of the rectangular area from greatest to least is green sticker > yellow sticker > red sticker

What is the area of a rectangle

The area of a rectangle is calculated by multiplying its length by its width. So if the length of a rectangle is l and the width is w, then its area A is given by the formula A = l x w.

To solve this problem, we can find the area of each sticker one after the other.

Area = length * width

1. red sticker = 2 * 1.5 = 3cm²

2. green sticker = 12 * 0.5 = 6cm²

3. yellow sticker = 3 * 1.25 = 3.75cm²

The order is green sticker > yellow sticker > red sticker

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Related Questions

what is statistics?

Answers

Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

What is Data?

This is referred to as information that has been translated into a form that is efficient for movement or processing.

Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.

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Solve the given initial-value problem.


y''' − 2y'' + y' = 2 − 24ex + 40e5x, y(0) =


1

2

, y'(0) =


5

2

, y''(0) = −


11

2

the values for the first 3 derivatives derivatives of y are 1/2, 5/2, -11/2 respectively

Answers

The given differential equation:

y''' − 2y'' + y' = 2 − 24ex + 40e5x,

y(0) = 1/2, y'(0) = 5/2, y''(0) = −11/2

Therefore, the next solution is 13/2

Differential Equation:

In mathematics, a differential equation is an equation relating one or more unknown functions to their derivatives. In applications, functions usually represent physical quantities, derivatives represent rates of change, and differential equations define the relationship between them. These relationships are common.

Now,

Given differential equation is

y''' - 2y'' +y' = 2- 24eˣ +40e⁵ˣ                 ------------ (1)

Auxiliary equation is m³ - 2m² +2m = 0

Now,

   m(m² - 2m +2) = 0

⇒ m(m-1)² = 0

Therefore, m = 0,1,1

Therefore,

[tex]y_{c} = c_{1}+ c_{2} e^{x} + c_{2}x e^{x}[/tex]

Now, we have to find the particular solution by method of undetermined coefficient.

   [tex]y'_{y} = a + b(x^{2} e^{x} +2xe^{x} ) +5ce^{x}[/tex]

⇒ [tex]y''_{p} = a + bx^{2} e^{x} +2bxe^{x} +5ce^{x}[/tex]

⇒ [tex]y''_{p} = b(x^{2} e^{x} +2xe^{x}) + 2b(ex^{x}+ e^{x} +25ce^{x}[/tex]

⇒ [tex]y'''_{p} = bx^{2} e^{x} +6bxe^{x} +6be^{x} +125ce^{5x}[/tex]

Putting these values in differential equation (1), we get:

y'''(0) = 13/2

Complete Question:

Solve the given initial-value problem. y''' ? 2y'' + y' = 2 ? 24ex + 40e5x, y(0) = 1 2 , y'(0) = 5/ 2 , y''(0) = ? 13/ 2

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Demonstrating the properties of rotations, if a line segment with endpoints (0,−3) and (0,−7) is rotated 90° clockwise, what is an endpoint of this rotated segment?

Answers

Answer: -3, 0

Step-by-step explanation:

If a line segment with endpoints (0,−3) and (0,−7) is rotated 90° clockwise, an endpoint of this rotated segment is (-3, 0) and (-7, 0).

What is a rotation?

In Mathematics and Geometry, a rotation is a type of transformation that moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

By applying either a rotation of 90° clockwise or a rotation of 270° counterclockwise to the coordinate of this line segment with endpoints (0,−3) and (0,−7), the coordinate of its image;

(x, y)                            →            (y, -x)

Point (0,−3)          →     Point (-3, 0)

Point (0, -7)          →     Point (-7, 0)

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find the equation of a line passing through two points (1,-1, 2) and (0,2-3).​

Answers

Answer: The equation of the line passing through the points (1, -1, 2) and (0, 2, -3) is:       y = 3x - 4.

Step-by-step explanation:

To find the equation of a line passing through two points, we can use the point-slope form of a line. The point-slope form of a line is given by:

y - y1 = m(x - x1)

where m is the slope of the line, (x1, y1) is a point on the line, and (x, y) are the coordinates of any other point on the line.

Step 1: Find the slope of the line (m)

The slope of the line can be found using the two points:

m = (y2 - y1) / (x2 - x1)

Plug in the values of x1, x2, y1, and y2 from the two given points:

m = (2 - (-1)) / (0 - 1) = 3

Step 2: Write the equation using the point-slope form

Use the point-slope form and the slope from step 1, and one of the given points:

y - (-1) = 3(x - 1)

Step 3: Simplify the equation

y + 1 = 3x - 3

Step 4: Solve for y

y = 3x - 4

So, the equation of the line passing through the points (1, -1, 2) and (0, 2, -3) is y = 3x - 4.

Problem 10
1. The hexagon represents 1 whole.
Draw a pattern-block diagram that represents the equation 4.
Draw your diagram on paper, take a picture, and upload it using the image upload icon
If you do not have the ability to upload an image of your work, type "Diagram is on paper."
Porfavor lo necesito para el martes o si no voy a reprobar

Answers

According to the information, the graph would be as shown in the attached image (4 * 1/3 = 1 1/3)

How to graph the equation?

According to the information we must take into account that a complete hexagon represents an integer. So one third of the hexagon would be the rhomboid. So, to graph this equation, we must replace the values with the corresponding figures.

In this case we must multiply the rhomboid by four, the rhomboid represents 1 of 3 elements that make up a hexagon. Therefore, if we have 4 rhomboids, we would have a hexagon and a rhomboid.

Note: This question is incomplete. Here is the complete information:

Image attached

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An angle measures 17.4° more than the measure of its complementary angle. What is the measure of each angle?

Answers

45 and 27.6 degrees are the two complementary angles.

What are the angles' measurements?

The various angles or measurements include:

Measure an acute angle between 0° and 90°.Measure the obtuse angle between 90° and 180°.Right Angle: The measurement is 90 degrees.Straight Angle: The measurement is 180 degrees.Measure the reflex angle from 180° to 360°.Complete or full angle: 360° is the exact measurement.

Angles that are complementary are those whose sum is 90 degrees. If the smaller angle has a measure of x, then the complementary angle's measure is 90 - x.

The issue shows that the greater angle (x + 17.4) is 17.4 degrees larger than the corresponding angle's measurement (90 - x). To find x, we can construct the following equation:

x + 17.4 = 90 - x + 17.4

When we simplify and find x, we obtain:

2x = 55.2

x = 27.6

The greater angle's measure is x + 17.4 = 45 degrees, while the smaller angle's measure is x = 27.6 degrees.

The two complementary angles are 27.6 and 45 degrees as a result.

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I need the answer ASAP help please

Answers

Note that the Upper limit and the lower limit of the Proportion Interval are given as follows:

Upper limit-  27%

Lower limit - 19%

What is Proportion Interval?

The proportion interval, also known as the confidence interval, can be calculated using the point estimate of the proportion and the margin of error.

The lower limit of the proportion interval is calculated by subtracting the margin of error from the point estimate, and the upper limit is calculated by adding the margin of error to the point estimate.

Lower limit = point estimate - margin of error

Upper limit = point estimate + margin of error

In this case, the point estimate is 23% and the margin of error is ±4%.

Lower limit = 23% - 4% = 19%

Upper limit = 23% + 4% = 27%

Therefore, the proportion interval is [19%, 27%], which means that we can be 90% confident that the true proportion of the population lies within this range.

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Find the standard form of the equation of the parabola with a focus at (3, 0) and a directrix at x = -3. (2 points)

Answers

In reference to the given focus and directrix, the standard form of the equation of the parabola is (x - 3)² = 12y.

Finding the Standard Form of a Parabola with a Given Focus and Directrix

The standard form of the equation of a parabola with a horizontal axis of symmetry and a focus at (p, q) is:

(x - p)² = 4c(y - q)

where, c is the distance from the focus to the vertex.

In this case, the focus is at (3,0), which means that p = 3 and q = 0. The directrix is at x = -3, which means that the vertex is at the midpoint between the focus and the directrix, which is (0,0). The distance from the vertex to the focus (or from the vertex to the directrix) is c = 3.

Substituting these values into the standard form equation, we get:

(x - 3)² = 4(3)(y - 0)

Simplifying, we get:

(x - 3)² = 12y

So the standard form of the equation of the parabola is (x - 3)² = 12y.

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Diana wants to build a rectangular
pen for her goats. The length of the pen
should be at least 50 feet, and the perimeter
of the pen should be no more than 190 feet.
What is a viable solution for the dimensions
of the pen? (Lesson 6-5)
A. 29 feet by 40 feet
B. 29 feet by 76 feet
C. 29 feet by 65 feet
D. 29 feet by 29 feet
Copyright © McGraw Hill

Answers

Answer:

29 feet by 40 feet to get a viable dimension for the goats pen

Two right triangles are proportional. The shortest leg of the small triangle is 4 in and the hypotenuse is 12 in. The shortest leg of the large triangle 8 in. Find the length of the hypotenuse of the large triangle.

Answers

If the shortest leg of the small triangle is 4 in and the hypotenuse is 12 in and the shortest leg of the large triangle 8 in, then the length of the hypotenuse of the large triangle is 24 inches.

We know that two triangles are proportional if their corresponding sides are in proportion to each other. That is, the ratio of the lengths of the corresponding sides is the same for both triangles.

Let's denote the length of the hypotenuse of the large triangle by "h". We can set up a proportion using the given information:

shortest leg of small triangle / hypotenuse of small triangle = shortest leg of large triangle / hypotenuse of large triangle

Plugging in the values we get:

4/12 = 8/h

Simplifying the equation we get:

h = (12*8)/4 = 24

To explain the solution, we used the fact that similar triangles have proportional sides. We then used the given information about the lengths of the sides of the small and large triangles to set up a proportion and solve for the unknown length of the hypotenuse of the large triangle.

The key to this problem was recognizing the relationship between similar triangles and using that relationship to set up and solve a proportion.

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NEED ANSWER ASAP PLEASE! THANK YOU​

Answers

The y-coordinate of point P is 16/3, which rounded to two decimal places is approximately 5.33.

What is the y-coordinate of P

First, we need to find the coordinates of point P. Since point P partitions the directed segment AB in the part-to-part ratio of 2:4, we can use the following formula to find its coordinates:

P = (4A + 2B) / 6

Substituting the coordinates of A and B, we get:

P = (4(5,7) + 2(1,-6)) / 6

P = (20,28) + (2,-12) / 6

P = (22,16) / 6

P = (11/3, 16/3)

y-value = 5.33

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A function is given.
g(x) =
2
x
; x = 1, x = a
(a) Determine the net change between the given values of the variable.


(b) Determine the average rate of change between the given values of the variable.

Answers

According to the given function net change and average rate of change between the given values of the variable.

A. 2

B. 2/a

What is the net change?

A rate of change's integral is taken into account by the net change theorem. According to this, a quantity's new value equals its initial value plus the integral of its rate of change whenever it changes. There are two methods to formulate the equation. The second is more widely known and is just the definite integral.

What does a function's net change look like?

The (definite) integral of a function's derivative, in other words, represents the overall change in a function. In specifically, the integral of velocity is the net distance travelled (final position minus initial position). The integral of acceleration is the difference between the final velocity and the starting velocity.

According to the given information:

g(x) =2/x

x = 1

x = a

A.

g(x) =2/x

g(1) =2/x

g(1) =2

B.

g(x) =2/x

g(a) =2/x

g(a) =2/a

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Please hurry!! Write one complete sentence to interpret the solution of the graph below.

Answers

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The coordinates of points where the two lines intersect, is the solution of the equations/lines, that is (6, 64)

the sides of quadrilateral measure 12cm, 9cm, 16cm, and 20cm.tee longest sides of a similar quadrilateral measure 8cm.find the measure of the remaining sides of a quadrilateral ?​

Answers

The measure of the remaining sides of a quadrilateral will be 4.8 cm, 3.6 cm, and 6.4 cm.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.

The sides of the quadrilateral measure 12cm, 9cm, 16cm, and 20cm. The longest sides of a similar quadrilateral measure 8cm. Then the scale factor is given as,

SF = 8 / 20

SF = 0.40

Then the other sides of the quadrilateral are given as,

⇒ 0.40 x 12

⇒ 4.8 cm

⇒ 0.40 x 9

⇒ 3.6 cm

⇒ 0.40 x 16

⇒ 6.4 cm

The measure of the remaining sides of a quadrilateral will be 4.8 cm, 3.6 cm, and 6.4 cm.

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In the diagram, segment AD bisects angle BAC.
Given the following segment lengths,
find the value of x.
Round to the nearest tenth.
AB= 23
AC = 18
Show all your work.

Answers

Answer: x ≅ 11.2

Step-by-step explanation:

We can set up two equations:

Let y = measure of <BAD = measure of <CAD

then:

sin y = x/23

sin y = (20-x)/18

Since both of these are sin y, we can set them equal to each other:

x/23 = (20-x)/18

.: 18x = 460 - 23x

41x = 460

.: x ≅ 11.2

Answer:

x = 11.2

--------------------

Use angle bisector theorem. It states that:

An angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.

Apply this to the given triangle:

AB/AC = BD/CD23/18 = x / (20 - x)

Cross-multiply and solve for x:

23(20 - x) = 18x460 - 23x = 18x460 = 41xx = 460/41x = 11.2 (rounded)

11. Equipment for your salon will cost anywhere from $7,000 to $10,000. How much money will you spend over the course of the first year with rent and equipment?

Answers

You have to  spend $26,500 over the course of the first year with rent and equipment.

What is the equipment cost about?

To calculate how much money you will spend over the course of the first year with rent and equipment, you need to add the cost of rent to the cost of equipment.

In a hypothetical scenario, Let's assume that the cost of rent for the first year is $1,500 per month.

To calculate the total cost of rent for the first year, you can multiply the monthly rent by the number of months in a year:

$1,500/month x 12 months = $18,000

So the total cost of rent for the first year is $18,000.

To calculate the total cost of equipment, you can take the average cost of the equipment (i.e., the midpoint of the given range) and assume that you will spend that amount:

($7,000 + $10,000) / 2 = $8,500

So the total cost of equipment is $8,500.

To calculate the total cost of rent and equipment for the first year, you can add the two costs together:

$18,000 + $8,500 = $26,500

Therefore, you will spend $26,500 over the course of the first year with rent and equipment.

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Twenty rubber spheres were compressed with varying amounts of force. The widths
and heights of the resulting shapes were measured. Here is a scatter plot that shows the
measurements for each sphere.

1. Label the vertical axis of the scatter plot.
Art gass

2. If a compressed rubber sphere has a 6-inch width, is its height closer to 5 inches or to
sla 11 inches? Explain your reasoning.

Answers

The vertical axis of the scatter plot is the height; on the other hand, if the sphere is 6 inches, the height is closer to 5 inches than to 11 inches.

What is the vertical axis?

In this scatter plot, the horizontal axis is the width; however, we know the second variable is the height and this should be in the vertical axis.

What is the height if the width is six inches?

Following the trend of the graph, it can be concluded the height if the width is six inches is approximately 5 rather than 11 inches.

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12. "The sum of 9 and the product of a number and -7 is -19

Answers

Answer:

Step-by-step explanation:

We can use algebra to solve for the unknown number. Let's call the number "x".

The equation can be written as:

9 + x * (-7) = -19

Expanding the product on the left side:

9 + -7x = -19

Subtracting 9 from both sides:

-7x = -28

Dividing both sides by -7:

x = 4

So the number x is 4.

Write the following comparison as a ratio reduced to lowest terms. 7 nickels to 47 dimes

Answers

7 nickels is 7/5, thus 7 nickels to 47 dime is 1.4 dime to 47 dime.

When both terms are multiplied by their biggest common factor, 1.4 dime, the ratio can be simplified to its simplest form: 47 dimes = 14: 470

What is the ratio?

The ratio of quantity, amount, or size of two or more items is known as proportion. It is the indicated quotient of two mathematical expressions.

As a ratio, what is 1 to 2?

"1 to 2" is the way to write the ratio 1: 2. Accordingly, of the total of 3, there is one component that is worth 1 and another part that is worth 2. Changing a part-to-part ratio to a fraction To get the whole, add the ratio terms. The denominator should be this.

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Use the following function to complete this question:
f(x)=(x-1)^3+5

Graph the function and fill in the blanks.
If the transformation listed is not applicable write none.
Fill in the blanks in the form:
4 left
5 up
Write infinity in the form: inf
Horizontal shift:
Vertical shift:
Vertical stretch factor:
Vertical compression factor:
Axis of reflection:
Domain:
Range:
Inflection Point:
Pic is attached below​

Answers

The following is deduced from the equation f(x)=(x - 1)^3 + 5

Horizontal shift: 1 left

Vertical shift: 5 down

Vertical stretch factor: 1

Vertical compression factor: 1

Axis of reflection: -x + 6

Domain: all real numbers

Range: all real numbers

Inflection Point: (1, 5)

What is vertical stretch factor?

The vertical stretch factor is a term used in mathematics to describe the transformation that changes the height of a graph while leaving the horizontal axis unchanged. In other words, it's a factor by which the y-values of a function are multiplied to produce a new, stretched or compressed version of the original graph.

The stretch factor is usually represented by the symbol "k". For example, if the equation of a function is y = f(x), then the equation of its vertically stretched image would be y = k * f(x). A positive value of k stretches the graph upward, while a negative value of k compresses the graph downward. If k > 1, the graph is stretched vertically; if 0 < k < 1, the graph is compressed vertically; if k = 1, the graph remains unchanged.

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how to solve equation below

Answers

Answer: (a) -6x²y

Step-by-step explanation:

[tex]\frac{-18x^{3}y^{2} }{3x^{2} y}[/tex]
X to the power of 2 should be cancelled from the top and bottom, which leads to:
[tex]\frac{-18xy^{2} }{3y}[/tex]
Then Y to the power of 1 should be cancelled from top and bottom (since it can go into both), which leads to:

[tex]\frac{-18xy}{3}[/tex]
Then find the highest common factor (which is 3), and cancel it out from the top and bottom, which leads to:
[tex]\frac{-6xy}{1}[/tex]
which equals to
-6x²y (a)

Sorting algorithms no unread replies.no replies. we are using and interacting with sorting algorithms in every day life. in your chapter reading this week, you reviewed many sorting algorithms. find an example of a place in real, everyday life where you interact with, implement or use one of the sorting algorithms covered in chapter 3. for example, while playing cards you may have found yourself implementing the insertion sort algorithm (without knowing it). for this peer interaction, post your example of a place in real, everyday life where you interact with, implement or use one of the sorting algorithms. be sure to provide your us with enough information so that we will thoroughly understand your example and use of a sorting algorithm. once you have made your post, please respond to at least two of your classmates interacting and communicating on the sorting algorithm use in real world context.

Answers

A sorting algorithm is defined as an algorithm that sorts the elements of a list. The most commonly used sequences are numerical sequence and lexicographical sequence, ascending or descending.

A sorting algorithm is used to reorder an array or list of elements according to an element comparison operator. Comparison operators are used to define a new order of elements in that data structure. Consider example, The above list of characters is sorted in ascending order by their value. That is, characters with lower values are placed before characters with higher values. It is important in real life because it supports the development of the scientific concept that things can be owned and organized into distinct groups (e.g. creatures, cars, weather types, etc.). We will now discuss some real-world examples of using sorting algorithms.

1) Your phone's contact list is sorted. This means that your data is organized in this way so you can easily access the contacts you want from your phone. That is, "I ordered."

2) Paper sorting : Imagine a teacher sorting students' work alphabetically by student name. This type of operation is similar to the functionality of sorting algorithms such as bucket sort. Sorting is more efficient process.

3) Traffic lights : Traffic lights are a good example of how algorithms are used in the real world around us. Next time you get stuck in a car at a red light, think about the algorithm that traffic lights run." Most traffic lights don't automatically switch between green, yellow, and red. This algorithm is a well-established turn-by-turn algorithm that directs traffic correctly. It's in order (it may not seem that way when you're sitting at a red light).

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In April 1986, a flawed reactor design played a part in the Chernobyl nuclear meltdown. Approximately 14252 becqurels (Bqs), units of radioactivity, were initially released into the environment. Only areas with less than 800 Bqs are considered safe for human habitation.
The function f(x)=14252(0.5)^x/32 describes the amount, f(x) in becqurels of a radioactive element remaining in the area x years after 1988.
Find F(40) to one decimal place in order to determine the amount of becqurels in 2026.
The determine if the area is safe for human habitation in the year 2026.

Answers

The function f(x)=14252(0.5)^x/32 describes the amount, f(x) in becqurels of a radioactive element remaining in the area x years after 1988. Therefore, F(40) = 14252(0.5)^40/32 = 0.3 Bq.

Since the area is considered safe for human habitation if the amount of becqurels is less than 800 Bqs, this area is safe for human habitation in the year 2026.

Yusef drove 130 miles in 2.5 hours. Which equation can be used to calculater, the average
speed at which Yusef drove?
A r = 130 - 2.5
B 130 = r/2.5
C r = 130/2.5
D 130 = r + 2.5

Answers

The equation can be used to calculate the average speed at which Yusef drove is (c) r = 130/2.5

How to determine the speed equation

The formula to calculate average speed is:

Average speed = distance traveled / time taken

In this problem, Yusef drove 130 miles in 2.5 hours.

So, we can substitute the values in the formula:

Average speed = 130 miles / 2.5 hours

Simplifying this expression, we get:

Average speed = 52 miles per hour

Therefore, the correct equation to calculate the average speed at which Yusef drove is:

r = 130/2.5 or r = 52

Option C matches this equation, so the answer is C.

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Guess the value of the following limit (if it exists) by evaluating the function at the given numbers.

Answers

The value of the limit of the rational function evaluated x = - 5 is equal to - 6.

How to determine the exact value of a limit at a given value

In this problem we find the limit of rational function evaluated at a given value. According to the statement, there is apparently a discontinuity at x = 5. The expression can be simplified by algebra properties:

[tex]\lim_{x \to - 5} \frac{x^{2} + 4 \cdot x - 5}{x + 5}[/tex]

[tex]\lim_{x \to -5} \frac{(x + 5)\cdot (x - 1)}{(x + 5)}[/tex]

[tex]\lim_{x \to - 5} (x - 1)[/tex]

Then, we can complete the table by means of the following expression:

f(x) = x - 1

x = - 5.01

f(- 5.01) = - 5.01 - 1

f(- 5.01) = - 6.01

x = - 5.001

f(- 5.001) = - 5.001 - 1

f(- 5.001) = - 6.001

x = - 5.0001

f(- 5.0001) = - 5.0001 - 1

f(- 5.0001) = - 6.0001

x = - 5

f(- 5) = - 5 - 1

f(- 5) = - 6

x = - 4.9999

f(- 4.9999) = - 4.9999 - 1

f(- 4.9999) = - 5.9999

x = - 4.999

f(- 4.999) = - 4.999 - 1

f(- 4.999) = - 5.999

x = - 4.99

f(- 4.99) = - 4.99 - 1

f(- 4.99) = - 5.99

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In Exercises 4 and 5, show that the triangles are similar and write a similarity statement.
Explain your reasoning.

Answers

15 to (15+20) (length of the whole side) = 3/7
27 to (27+36) = 3/7
they have a common ratio of 3 to 7 which means they are similar

If the measures of the corresponding sides of two triangles are proportional then the triangles are similar.

ΔXVZ and ΔXWY are similar by SAS property of similarity.

We have,

ΔXVZ and ΔXWY

XW/WV = XY/YZ

15/20 = 27/36

3/4 = 3/4

The ratio of two pairs of corresponding sides is equal. ______(1)

And,

m∠XWY = m∠XVZ = 90

The included angle of the two triangles is equal. ________(2)

Now,

From (1) and (2),

ΔXVZ and ΔXWY are similar.

By SAS property of similarity.

Thus,

ΔXVZ and ΔXWY are similar by SAS property of similarity.

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Question 5b
A trailer truck carries 11, 430 bottles, each weighing 14 ounces. To the nearest ton,
how much weight does the truck carry?
The truck carries
tons.

Answers

The total weight of the bottles the truck carries is 6020 ounces.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

Example:

2 + 1x + 4y = 7 is an expression.

3 + 3x + 3 = 7 is an expression.

We have,

Number of bottles the truck carries = 430

One bottle weight = 14 ounces

Now,

The total weight of the bottles.

= Number of bottles x Weight of one bottle

= 430 x 14

= 6020 ounces

Thus,

The total weight of the bottles the truck carries is 6020 ounces.

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Evaluate student loan options
Question
Alvin will be finishing his payments on his 10-year, $26,000 student loan and wants to know the amount of interest th
paid over the course of the loan. The student loan has a 4.4% fixed interest rate that is compounded monthly. Calcula
total amount of interest Alvin paid, rounding to the nearest cent.
Provide your answer below:
B
FEEDBACK
MORE INSTRUCTION

Answers

The total amount of interest that Alvin paid over the course, guven the value of the student loan and the interest rate is $ 6, 185

How to find the interest paid ?

To find the interest paid, you need to find the total amount that Alvin paid in the 10 years that he was paying.

To do this, you first need to find the monthly payments. This will be an annuity as the amount will be the same throughout the student loan payment period.

The amount would be :

Student loan value = Amount x Present value interest factor of annuity, 120 periods, 4. 4 % / 12

The periods are :

= 10 years x 12 months

= 120 months

The amount is:

26, 000 = Amount x 96.939576551857

Amount = 26, 000 / 96.939576551857

Amount = $ 268. 21

The total paid over the 10 years is :

= 268. 21 x 120 months

= $ 32, 184. 9972

The interest is :

= 32, 184. 9972 - 26, 000 loan amount

= $ 6, 185

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Need help with this. Keep getting answer wrong

Answers

Answer:

[tex]\frac{-1}{5}[/tex] [tex]y^{2}[/tex] - [tex]\frac{1}{2}[/tex] y + [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

[tex]-\frac{y^3}{10} +\frac{y^2}{5} -\frac{y}{4} -\sqrt{2}[/tex]

Step-by-step explanation:

Choose the answer that is equal to the expression below.
5^2.5^0

Answers

Answer:

5

Step-by-step explanation:

The expression 5^2.5^0 is equal to 5^(2.5^0), which can be simplified as follows:

2.5^0 = 1 (because any number raised to the power of 0 is equal to 1)

So, 5^2.5^0 = 5^1 = 5

Therefore, the answer is 5.

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