Leonardo purchases a car for $18,995. The car depreciates at a rate of 18% annually. After 6 years, Manuel offers to buy the car for $4500. Should Leonardo sell the car to Manuel? Explain.​

The value of the x is 228.57 units.

What is the angle bisector theorem?

The angle bisector theorem states that a triangle's angle divides the opposing side into two portions that are proportionate to one another.

We have given,

Triangle, Let's consider it ΔABC,

then,

Measures of Angles ∠B= 37, ∠C=32, and side AD = 82

To find x =?

In the triangle side AD is the bisector, it forms a new triangle  ΔADC.

According to the angle bisector theorem, the angle bisector of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.

As per the Angle bisector theorem, the ratio of the line segment BD to DC equals the ratio of the length of the side AB to AC.

To find AB & AC:

sin θ = side opposite to angle θ / hypotenuse

cos θ = side adjacent to angle θ / hypotenuse

sin θ = AD / AB

sin 37 = 82 / AB

AB = 82/ sin 37

AB = 136.25

cos θ = BD / AB

cos θ = BD/136.25

BD = cos37 * 136.25

BD = 104.9

sin θ = AD / AC

sin32 = 82 / AC

AC = 149

cos32 = DC / AC

cos32 = DC / 149

DC = 123.67

So, x = BD + DC

x = 104.9 + 123.67

x = 228.57

Hence, the value of the x is 228.57 units.

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Refer to the attached image.

Answer:

x+1=115.6

Step-by-step explanation:

an unknown x

plus a number imagine 1

so x+1=115.6

Answer:

The party pack has 20 strawberry candies and 25 banana candies. To calculate this, divide the number of strawberry candies in the mega pack (40) by the total number of candies in the mega pack (90). This gives you a ratio of 4:5. For the party pack, divide the number of strawberry candies (20) by that same ratio (4:5) to find the number of banana candy pieces, which is 25.

6.63324958071 is the mean of 2 and

Answer:

2 sqrt(11)

Step-by-step explanation:

To find the geometric mean of two numbers, take the square root

sqrt( 2*22)

sqrt(44)

sqrt(4*11)

2 sqrt(11)

The relationship between the rectangles ABCD and WXYZ is AB = WX.

The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.

Given the rectangles ABCD and WXYZ, in a coordinate grid,

length of rectangle ABCD is parallel to the Y-axis and the length of rectangle WXYZ is parallel to the X-axis,

let us consider the scale of the grid to be 1 unit,

from graph,

AD = BC = 5 units

AB = DC = 3 units,

and for rectangle WXYZ,

XY = WZ = 5 units

WX = YZ = 3 units

so AB = WX

Hence option D is correct.

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Answer:

13a-8/5 simplified

The correct statement regarding the best measure of the variability is given as follows:

The IQR is the best measure of variability, and it equals 6.

The Interquartile Range (IQR) of a data-set represents the difference between the third quartile and the first quartile of the data-set.

As it is not affected by outliers, it is the best measure of variability of a data-set.

The quartiles for this problem are given as follows:

Hence the IQR is obtained as follows:

IQR = 21 - 15

IQR = 6.

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A solid shape is considered to be regular if all of its faces are congruent, meaning they have the same shape and size. In the context of three-dimensional shapes, there are several examples of regular solid shapes, including the cylinder, cube, and cuboid.

A) Cylinder: A cylinder is a solid shape with two parallel, congruent circular bases connected by a lateral surface. All of the lateral faces of a cylinder are parallelograms, and the circular bases have the same shape and size, making the cylinder a regular solid shape.

B) Cube: A cube is a regular solid shape with six congruent square faces. All of the faces meet at right angles, and each face is parallel to the opposite face, making the cube a regular solid shape.

C) Cuboid: A cuboid is a solid shape with six rectangular faces. The opposite faces of a cuboid are congruent rectangles, and all of the faces meet at right angles, making the cuboid a regular solid shape.

In conclusion, the cube and the cuboid are regular solid shapes because all of their faces are congruent, while the cylinder is a regular solid shape because all of its lateral faces are congruent parallelograms and its bases have the same shape and size. These regular solid shapes are useful in geometry and provide a foundation for understanding the properties of more complex solid shapes.

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The sphere ball will not sink because it has a density of 0.34 g/cm³ which is lesser than density of water

Density is the substance's mass per unit of volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume.

Density = mass/volume

volume of the sphere = 4/3 πr³

= 4/3 × 3.14 ×4³

= 803.84/3

= 267.95 cm³

Density of the sphere = 90/267.95

= 0.34 g/cm³( nearest hundredth)

Therefore the sphere will not sink because it's density is lesser than that of water.

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The associative property works with addition and multiplication, but not division and subtraction because the grouping of terms affects the result of the operation.

A mathematical concept known as the associative property governs the addition and multiplication of three or more terms. It claims that the way the phrases are grouped has no bearing on how the operation turns out.

This implies that the same result may be obtained by adding or multiplying three or more terms in any sequence. Nevertheless, division and subtraction are not covered by the associative property.

We should take a gander at the accompanying cases to show how expansion and increase are connected:

Example 1: Addition

(2 + 3) + 4 = 2 + (3 + 4)

5 + 4 = 2 + 7

9 = 9

Example 2: Multiplication

(2 × 3) × 4 = 2 × (3 × 4)

6 × 4 = 2 × 12

24 = 24

We can observe from both cases that the word grouping has no impact on the operation's outcome. The associative characteristic, therefore, applies to both addition and multiplication.

The associative characteristic, however, does not apply to division and subtraction. For instance:

(8 ÷ 4) ÷ 2 ≠ 8 ÷ (4 ÷ 2)

2 ÷ 2 ≠ 8 ÷ 2

1 ≠ 4

We can observe from this example that the term grouping has an impact on the operation's outcome. The associative property does not, therefore, apply to division.

The associative property does not also hold for subtraction. For instance:

(8 - 4) - 2 ≠ 8 - (4 - 2)

4 - 2 ≠ 8 - 2

2 ≠ 6

In this example, we can again see that the grouping of terms affects the result of the operation. Therefore, the associative property does not apply to subtraction.

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Answer: the answer is 9

Step-by-step explanation:

simply divide 2 from both sides in order to cancel out the left side and isolate the variable. 18 divided by 2 is 9

The ordered pairs of points on a graph is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The ordered pairs

The ordered pairs are represented as

A(0, 3), B(5, 8), C(9, 8), D(4, 3), E(9, 6), F(4, 1), G(0, 1)

Next, we create a plot of the ordered pairs

When this is done, we then connect the points

See attachment for the graph of the ordered pairs

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The properties of the functions and the graphs are listed beloe

Function 3

Here, we have

f(x) = 4/3(6)^x

See attachment for the graph, where we have the following features

Function 4

Here, we have

f(x) = -(1/3)^x

See attachment for the graph, where we have the following features

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The income tax for each household are:

Let's evaluate each household income tax cases:

Household 1

Taxable income = $400,000

Tax rate = $45,210 + 35%  over $204,100

Income tax = $45,210 + 35% ($400,000 - $204,100)

Income tax = $45,210 + $68,565

Income tax = $113,775

Household 2

Taxable income = $10,954

Tax rate = 10% income

Income tax = 10% ($10,954)

Income tax = $1,095.40

Household 3

Taxable income = $108,962

Tax rate = $12,962 + 24% over $84,200

Income tax = $12,963 + 24%($108,962 - $84,200)

Income tax = $12,963 + $5,942.88

Income tax = $19,804.88

Household 4

Taxable income = $209,850

Tax rate = $45,210 + 35% over $204,100

Income tax = $45,210 + 35% ($209,850 - $204,100)

Income tax = $45,210 + $2,012.50

Income tax = $47,222.50

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Answer:

sorry but it not possible here i can explain on another platform

The expression giving the time that he took to complete the journey is given as follows:

t = 100/d.

Velocity is distance divided by time, hence the following equation is built to model the relationship between these variables:

v = d/t.

For this problem, the distance is given as follows:

d = 100 km.

Hence the expression to obtain the time needed is given as follows:

v = 100/t

vt = 100

t= 100/v.

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The total area of ​​all three circle lights is:

115.395 square inches.

The area of ​​the circle formula helps measure the space occupied by a circular field or plot. Assuming you have land to the fence, the area formula will help you determine how much fencing you will need.

The area of ​​a circle is the area occupied by the circle in the two-dimensional plane. It can be easily determined by the formula A = [tex]\pi r^{2}[/tex],  (Pi r-square) where r is the radius of the circle. Area units are square units such as For example m², cm², etc.

The total area of ​​all three circular lights can be calculated by multiplying the area of ​​one light (38.465 square inches) by 3.

Total area = 3 x 38.465 square inches

Total area = 115.395 square inches.

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They both represent the same information - for every 96 action/ adventure movies, there are 38 sci-fi movies to stream.  96:38 and 38:96 are both equivalent ratios because they are inverse proportions of each other.

Inverse is the opposite of something. It can be used to describe the opposite of a mathematical operation, such as taking the reciprocal of a number, or the opposite of a logical statement, such as negating the statement. It can also be used to describe the opposite of an action, such as reversing a direction or undoing an action. Inverse can also be used to describe the opposite of an effect, such as the opposite of a physical reaction or the opposite of an emotional response. Inverse relationships can often be seen in nature, such as how a decrease in temperature results in an increase in pressure, or how an increase in the amount of light results in a decrease in the number of insects in a certain area.

a:

1. 96:38

2. 38:96

3. (96/38):1

b: 96:38 and 38:96 are both equivalent ratios because they are inverse proportions of each other. They both represent the same information - for every 96 action/adventure movies, there are 38 sci-fi movies to stream. The only difference is the order of the numbers, but the ratio remains the same.

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a. The server worked for about 2.5 hours to earn $35

b. the server earn $77 for 5 hours of work

c. the earnings will increase as the number of hours worked increases

This solved by tracing the information from the graph

Tracing the graph the information that coincides with earning $35 is about 2.5 hours

Tracing the graph the information that coincides with earning $77 is about 5 hours

The graph shows that increase in earning will lead to increase n hours of work

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Multiplying the length and width together, we get 3m x 4m = 12m². This means that the area of the rectangle is 12 square meters.

Area = Length x Width

Area = 3m x 4m

Area = 12m²

To solve for the area of a rectangle, you will need to use the formula Area = Length x Width. In this example, the length of the rectangle is 3 meters and the width is 4 meters. To calculate the area of the rectangle, you will need to multiply the length and width together. 3m x 4m = 12m². Therefore, the area of the rectangle is 12 square meters.

The area of a rectangle is calculated by multiplying the length and width of the rectangle together. The formula used to calculate the area of a rectangle is Area = Length x Width. To put this formula into practice, lets use the example of a rectangle that is 3 meters long and 4 meters wide. Multiplying the length and width together, we get 3m x 4m = 12m². This means that the area of the rectangle is 12 square meters. This formula can be used for any rectangle, as long as the length and width are known. Knowing the area of a rectangle can be useful for many purposes, such as calculating the amount of paint or carpeting needed to cover the surface area of the rectangle.

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The graph of the inequality is added as an attachment and a solution is (1, 5)

From the question, we have the following parameters that can be used in our computation:

y ≥ -x + 3

y > 2x - 6

The above expression is an inequality that implies that:

The inequality is a linear inequality

Next, we plot the graph

One of the points in the shaded region is (1, 5)

See attachment for the graph of the inequality

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Answer:

[tex]\sqrt[3]{-x}[/tex] and [tex]-\sqrt[3]{x}[/tex]

Step-by-step explanation:

I inserted these functions into a graphing calculator and checked if they were identical or not

Answer:

First part is D and F

The Second part is A,C,D

Step-by-step explanation:

EDG 2023

option B is correct, the equation or function of the graph is y≥3/4x-3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The line passing through points (4,0) and (0,3)

Slope=3/-4=-3/4

Now let us find y intercept

0=-3/4(4)+b

0=-3+b

b=3

Hence, option B is correct, the equation or function of the graph is y≥3/4x-3.

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Answer:

[tex]y=\dfrac{1}{8}x^2[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}[/tex]

Given that the vertex of the parabola is (0, 0):

Substitute the values of h and k into the formula:

[tex]y=a(x-0)^2+0[/tex]

[tex]y=ax^2[/tex]

Given that the parabola passes through the point (12, 18), substitute this into the equation and solve for a:

[tex]18=a(12)^2[/tex]

[tex]18=144a[/tex]

[tex]a=\dfrac{18}{144}[/tex]

[tex]a=\dfrac{1}{8}[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=\dfrac{1}{8}x^2[/tex]

The mason will need 77 bags of mortar mix for the retaining wall.

Purchasing is the process a business or organization uses to acquire goods.

To find out how many bags of mortar mix the mason needs

we need to calculate the number of bags required for 640 blocks.

The guidelines suggest that 12 bags are required for every 100 blocks, so for 640 blocks, we need:

12 bags * (640 blocks / 100 blocks) = 12 * 6.4 = 76.8

Since the mason cannot purchase part of a bag, he will need to round up to the nearest whole number of bags. In this case, 77 bags will be required.

So, the mason will need 77 bags of mortar mix for the retaining wall.

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Answer:

change in temperature = final - temperature

= -9°-15° = -24°C

The simplest form of (m². m⁵. m⁻³ ) is m⁴  

Writing a number as the product of itself a number of times are known as an Exponent.

For example,

If 7 is multiplied by itself 3 times, i.e. 7 × 7 × 7. This can be represented as 7³. Where 7 is the base and 3 is the exponent.

If a is multiplied by itself b times, i.e. a × a × a...(b times). This can be represented as (aᵇ). Where 'a' is the base and 'b' is the exponent.

Here we have

The expression (m². m⁵. m⁻³ )

As we know, (aᵇ . aˣ. aᵃ) = aᵇ⁺ˣ⁺ᵃ  

(m². m⁵. m⁻³ ) = m²⁺⁵⁻³  = m⁴  

Therefore,

The simplest form of (m². m⁵. m⁻³ ) is m⁴  

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The value of the coefficients a, b, c, and constant d will be 0.50, 0, -1.50, and 1, respectively.

Let a, b, c, and d are the zeroes of the polynomial and k be the leading corefficient. Then the polynomial is given as,

⇒ k(x - a)(x - b)(x - c)(x - d)

The degree of the polynomial will be greater than or equal to the number of zeroes.

From the graph, the zeroes are -2, 1, and 1. Then the polynomial is given as,

y = a(x + 2)(x − 1)²

The curve passes through (0, 1), then we have

1 = a(0 + 2)(0 − 1)²

1 = 2a

a = 1/2

a = 0.5

Then the polynomial is given as,

y = 0.50 (x + 2)(x − 1)²

y = 0.50 (x + 2)(x² + 1 - 2x)

y = 0.50 (x³ + 2x² + x + 2 - 2x² - 4x)

y = 0.50 (x³ - 3x + 2)

y = 0.50x³ - 1.5x + 1

Compare with standard equation, then we have

a = 0.50

b = 0

c = - 1.5

d = 1

The value of the coefficients a, b, c, and constant d will be 0.50, 0, -1.50, and 1, respectively.

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The missing graph is attached below.

As per the mentioned distribution of cards, Clara has 2 baseball cards.

Let the number of baseball cards with Clara be x. So, number of baseball cards with Jeff will be 3x. Now, the baseball cards that Yolonda has is (3x + 7). We know their sum is 21, therefore, forming the equation now -

x + 3x + 3x + 7 = 21

Performing addition on Left Hand Side of the equation

7x + 7 = 21

Dividing the whole equation by 7

x + 1 = 3

Rewriting and solving the equation for x

x = 3 - 1

Performing division on Right Hand Side of the equation

x = 2

The number of baseball cards with Clara are 2.

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