If A New Car Is Valued At $19200 And 8 Years Later It Is Valued At $8000, Then What Is The Average Rate (2024)

Answer: 0.64 65% 2/3 and 7/10

Step-by-step explanation:

2/3 is 66% (or 67%) because 100 split into three parts is 33 66 100 (you have to add an extra 1 because “math”)

And 7/10 is 70, just add a 0 to the end of both 10 and 7 and you get 70/100 which is the same ratio

The expression that would be used to represent the distance between earth surface and earths atmosphere is: |v-q|

How to find the distance

Distance is a measurement of the separation between two things or places. When we talk about distance, we're talking about a physical length or an estimate based on other physics or practical usage factors.

It follows that:

The Sun is located q kilometers above Earth's surface and v kilometers from the upper boundary of the atmosphere.

Observing the figure:

BC = v

AC = g

AB = |v - g|

Therefore, option (B) |v - g| is right. The distance between the Earth's surface and the top border of its atmosphere is |v - g|.

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Answer: 37.68

Step-by-step explanation:

Since the diameter is 12 inches, you have to multiply it by pi (π) for the final answer, the circumference aka the whole thing

So:

C=πd

(12)(3.14)

=37.68

Answer:

x = 50 ft

Step-by-step explanation:

The question is Pythagoras theory

Pythagoras theory is given by the formula

Hypotenuse² = adjacent² + opposite²

from the question

Hypotenuse = x ft

adjacent = 40 ft

opposite = 30 ft.

Hypotenuse² = adjacent² + opposite²

= x² ft = 40² ft + 30² ft

= x² ft = 1600 ft + 900 ft

= x² ft = 2500 ft

[tex] \sqrt{x2 \\ } = \sqrt{2500} \\ [/tex]

Note: the 2 square will cancel the square root.

living

[tex]x = \sqrt{2500} [/tex]

x = 50 ft.

Note: tthe square root of 2500 is 50.

Answer:

The length of the roof of the house, x, is 50 ft.

Step-by-step explanation:

From observation of the given diagram, we can see that the length of the roof "x" is the hypotenuse of a right triangle. Therefore, we can use Pythagoras Theorem to calculate the value of x.

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

From observation of the given diagram, the lengths of the legs of the right triangle are 30 ft and 40ft, and the hypotenuse is x ft:

a = 30 ftb = 40 ftc = x ft

Substitute the values of a, b and c into Pythagoras Theorem formula and solve for x:

[tex]\implies 30^2+40^2=x^2[/tex]

[tex]\implies 900+1600=x^2[/tex]

[tex]\implies 2500=x^2[/tex]

[tex]\implies x^2=2500[/tex]

[tex]\implies {\sqrt{x^2}=\sqrt{2500}[/tex]

[tex]\implies x=50[/tex]

Therefore, the length of the roof of the house is 50 ft.

The solution set of the inequality is z ≤ 7 and z < 7

No, there are no values of z that solve both inequalities

How to determine the solution to the inequality

Inequality 1

First, distribute the 6 on the right side of the inequality:

30 ≥ 4z + 2

Then, subtract 2 from both sides:

28 ≥ 4z

Divide both sides by 4:

7 ≥ z

So the solution set of the inequality is z ≤ 7.

Inequality 2

First, distribute the 2.7 on the right side of the inequality:

15.6 < 2.7z - 2.7 - 0.6

Then, add 2.7 and 0.6 on both sides:

18.9 < 2.7z

Divide both sides by 2.7:

z > 7

So the solution set of the inequality is z > 7

Do they have common z values

The inequality z ≤ 7 states that z is less than or equal to 7. This means that any value of z that is less than or equal to 7 will satisfy the inequality.

The inequality z > 7 states that z is greater than 7. This means that any value of z that is greater than 7 will satisfy the inequality.

Since, they have different values that satisfy them, thus, there are no values of z that will solve both of them.

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Answer:

The width of a block of wood with rectangular cross section is x cm. its height is 2/3 its width and its length is 4times its height what is its volume in cm3

The rules would make this input-output pair true are Rule 3, Rule and Rule 6

How to determine which rules would make this input-output pair true?

An input-output pair is a set of related data that includes an input, or the information given to a system, and the corresponding output, or the result produced by the system based on that input. This is a common way to test and evaluate the performance of a machine learning model, by comparing the predicted output to the actual output.

Since the input is 36 and output is 9. Any rule that produces 9 will be true.

Rule 1: subtract 5

output = 36 - 5 = 31

This could not be a rule for this input-output

Rule 2: If odd, subtract 9. If even, write 3

36 is not odd

output = 36 - 3 = 33

This could not be a rule for this input-output

Rule 3: Subtract 9, then divide by 3

36 - 9 = 27

output = 27/3 = 9

This could be a rule for this input-output

Rule 4: Divide by 4.

output = 36/4 = 9

This could be a rule for this input-output

Rule 5: Add 2, then divide by 2.

36 + 2 = 38

output = 38/2 = 19

This could not be a rule for this input-output

Rule 6: Write 9.

output = 9

This could be a rule for this input-output

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Answer:

Step-by-step explanation:

The company charges $0.80 * 2 = $1.60 for using 2 GB of data.

Answer:

Step-by-step explanation:

5 you already know

A triangle park is depicted on the right with its 11x-6 perimeter. 6x-4 is the length that's missing.

What is triangle?The polygonal shape of a triangle is made up of three edges and three vertices. It is one of the basic geometric shapes. A triangle with the vertices A, B, and C is referred to as Triangle ABC.In Euclidean geometry, any three points that are not collinear determine a singular triangle and a singular plane at the same time. Three vertices make up a triangle, a three-sided polygon. The triangle's angles are formed by a point where the three sides are joined end to end. The sum of the three angles of the triangle is 180 degrees.Triangulus, which means "three-cornered" or "having three angles," is a Latin word with roots in tri-, "three," and angulus, "angle or corner."

By summing all of the sides and naming the missing side y, we can calculate the perimeter, which is the distance around the shape.

11x-7 = 4x+2 + x-5 + y

solve for y

11x-7 = 5x -3 + y

11x-4 = 5x + y

6x-4 = y

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Answer:

6x - 7

Step-by-step explanation:

we have the perimeter and two sides, subtract the known sides from the perimeter and we will have the unknown side

11x - 6 - x - 3 - 4x + 2 =

6x - 7

Answer:

2+f=16

Step-by-step explanation:

Answer:

$3296.3

Step-by-step explanation:

$5,540

7 years simple int of 8.5% means no compounding no amortization

so it's 5540*8.5% *7 = 3296.3

The percentage of change from 16.5 grams to 24.8 grams is 8.3

What is meant by percent of change?

The percentage of an item's final value versus its starting value is its percent change. By dividing the difference in data by the starting value, you can get the percent change.

In order to compare an initial value or old value to the outcome of a change in a new value or final value, two different forms of percentage change are used: increase and decrease.

A quantity's percentage change is equal to the ratio of the quantity's change to its starting value multiplied by 100.

In order to calculate a percentage increase, subtract the starting value from the final value of a quantity, divide by the initial value, and then multiply by 100%. This results in the formula:

Percentage Increase = (Final Value - Initial Value) / (Initial Value) x 100%

Therefore, the percentage of change from 16.5 grams to 24.8 grams is 8.3

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By using the data table, a ratio for each comparison in three different ways should be written as follows;

The ratio of O+ donors to B+ donors is 9:2.The ratio of A- donors to B+ donors is 21:20.The ratio of AB+ donors to total donors is 6:195.

How to determine and write the ratio for each comparison?

In order to determine and write the ratio for each comparison, we would have to assign variables to the chosen blood group donors respectively:

Let the variable O represent O+ donors.Let the variable B represent B+ donors.Let the variable ABN represent AB- donors.Let the variable ABP represent AB+ donors.

From the information provided above, we have the following parameters:

O = 90 donors.

B = 20 donors.

Now, we can write the ratio as follows;

O:B = 90:20

Dividing by 10, we have the following ratio:

O:B = 9:2

ABN:ABP = 4:6

Dividing by 2, we have the following ratio:

ABN:ABP = 2:3

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Complete Question:

A person's blood type is denoted with the letters a, b, and O, and symbols + and - The blood type A+ is read as A positive blood type B- is read as B negative. Use the data table to write a ratio for each comparison in three different ways.

Sοn on solving we have the measurements of the quadrilateral are as follοws, that value of x = -1/8

what is quadrilateral?

A quadrilateral is a fοur-sided polygon in geometry that has four edges and four cοrners. The word is a derivative of the Latin wοrds quadri and latus (meaning "side"). Having fοur sides, four vertices, and four corners, a rectangle is a twο-dimensional form.

Cοncave and convex come in primarily two varieties. Additionally, there are several subclasses of cοnvex quadrilaterals, including trapezoids, parallelograms, rectangles, rhοmbuses, and squares. Four straight sides make up a rectangle, which is a twο-dimensional form. There are several different types οf quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhοmbuses.

since diagοnals are equal so

6x-1 + 5x+1 = 9x+3 10x-2

11x = 19x + 1

x = -1/8

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The figure that would make the following "a reflection in line k." is: B. second figure.

What is a reflection?

In Geometry and Mathematics, a reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

Generally speaking, a reflection is a type of transformation that preserve angle measure of a geometric figure. Additionally, reflection can be used to preserve the direction of the vertices (coordinates) that are traced around a geometric figure.

In this context, we can reasonably infer and logically deduce that the second geometric figure is a transformation that would produce a reflection in line k because the figure (emoticons or smiley faces) maintains the same orientation i.e the direction of their vertices are preserved.

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The value of x is 1 and the perimeter of the rectangle and the perimeter of the equilateral triangle each equals 6 inches.

What is Perimeter?

The complete circumference of a shape is referred to as its perimeter. It is the length of any geometric shape with a two-dimensional boundary or outline. Depending on their proportions, multiple figures can have equal perimeters. The length units and the perimeter units will be the same. Perimeter is a one-dimensional concept. Because of this, it can be measured in metres, kilometres, millimetres, and other units. Inches, feet, yards, and miles are a few additional approved perimeter measurement units on a global scale.

Given that a rectangle and an equilateral triangle have the same perimeter.

The perimeter of the rectangle is 2x+2(3x-1) inches. -------(1)

the perimeter of the equilateral triangle is 3(x+1) inches. -------(2)

Since the perimeter of the given rectangle and equilateral triangle are equal, we have

[tex]2x+2(3x-1) = 3(x+1)[/tex]

Simplifying, we get

[tex]2x+6x-2 = 3x+3\\\implies 8x-3x=3+2[/tex]

Solving, we have

[tex]5x=5\\\implies x=1[/tex]

Hence, the value of x is 1.

So, the perimeter of the rectangle becomes

[tex]2x+2(3x-1) = 2+2(3-1)\\[/tex]

[tex]\implies 2x+2(3x-1) =6[/tex]

Also, the perimeter of the equilateral triangle becomes

[tex]3(x+1)=3(1+1)\\\implies 3(x+1)=6[/tex]

Therefore, the perimeter of the rectangle and the perimeter of the equilateral triangle each equals 6 inches.

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Answer:

30 child tickets

Step-by-step explanation:

You have twice as many adult tickets at $9.70 sold as child tickets at $6.10 for a total revenue of $765, and you want to know the number of child tickets sold.

Setup

Let c represent the number of child tickets sold. Then 2c is the number of adult tickets sold, and total revenue is ...

6.10c +9.70(2c) = 765

Solution

25.5c = 765 . . . . simplify

c = 30 . . . . . . . . divide by 25.5

30 child tickets were sold that day.

The area of a rectangle can be determined by dividing its length by its width. So, we can set up the equation: w = 2/ (3/7)

A math area: What does it mean?

Area is the entire amount of space occupied by the shape of an object or a flat (2-D) surface. On paper, make a square with a pencil. It has two dimensions. On paper, a shape's area is the amount of space it occupies. Consider your square as being composed of smaller unit squares.

3/7 * w = 2

To find the width of the rectangle, we can solve for w:

w = 2 / (3/7)

w = 7/3 ft

So, the width of the rectangle is 7/3 ft.

We can also write the equation to find the width as

w = 2/ (3/7)

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The quadratic equation is:

y = 2*(x - 3)^2 + 4

How to write the quadratic equation?

A general quadratic equation with leading coefficient of (h, k) can be written as:

y = (x - h)^2 + k

In this case the vertex is (3, 2), then we can write:

y = (x - 3)^2 + 2

And now we apply a vertical stretch of 2, then we will get:

y = 2*[(x - 3)^2 + 2]

y = 2*(x - 3)^2 + 4

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A) The probability of choosing a tile at random from a bag containing 2 As, 3 Bs, and 4 Cs is 1/9. This is because there are a total of 9 tiles in the bag and each tile has an equal chance of being chosen.

What is probability?

Probability is a measure of the likelihood that a given event will occur, expressed as a number between 0 and 1. A probability of 1 indicates that the event is certain to occur, while a probability of 0 indicates that the event is impossible.

B) The probability of choosing the same tile again after replacing the first tile is still 1/9. This is because replacing the first tile does not change the probability of any of the tiles being chosen. Each tile still has an equal chance of being chosen.

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Based on the information, it can be inferred that if the input of the machine is 17, the output is 82.

How to calculate the output of the machine?

To calculate the output of the machine we must know what values we have in the input. In this case we have x5 - 3. So, to find the output of this machine we must carry out the following procedure:

output = x5 - 3output = (17 * 5) - 3output = 85 - 3output = 82

According to the above, the output of the machine is 82 when the input is 17.

Note: This question is incomplete and the information is wrong. Here is the correct and complete information:

Input = x5 - 3

tasks

Calculate what is the output of the machine if the input is 17

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Answer: 27/250​

Step-by-step explanation:

Given :

b₁ = 1/2

q = 3/5

[tex]\bullet ~~ \tt b _n = b_1 \cdot q^{n-1}[/tex]

Since we are looking for a term belonging to a given progression , then
n ∈ N , and this condition will be met only in the variant

[tex]\displaystyle \large \boldsymbol{}b_n = \frac{27}{250} \\\\ b_1 \cdot q^{n-1} = \frac{27}{250} \\\\\\ \frac{1}{2} \cdot \bigg (\frac{3}{5} \bigg )^{n-1} = \frac{27}{250}\\\\\\ \bigg (\frac{3}{5} \bigg )^{n-1} = \frac{27}{125} \\\\\\ \bigg (\frac{3}{5} \bigg )^{n-1} = \bigg (\frac{3}{5} \bigg ) ^3\\\\\\ n -1 = 3 \\\\ n = 4 \in \mathbb N[/tex]

The inverse of rational function f(x) = (x + 2) / (3 · x - 4) is the rational function g(x) = (4 · x + 2) / (3 · x - 1).

How to determine the inverse of a rational function

In this question we find a rational function, that is, a function of the form:

R(x) = P(x) / Q(x)

Where:

P(x) - NumeratorQ(x) - Denominator

We must clear x in terms of R(x) to get the inverse of this function. First, write the function using the following substitutions:

x → g(x)

f(x) → x

x = [g(x) + 2] / [3 · g(x) - 4]

Second, clear g(x) by algebra properties:

x · [3 · g(x) - 4] = g(x) + 2

3 · x · g(x) - 4 · x = g(x) + 2

(3 · x - 1) · g(x) = 4 · x + 2

g(x) = (4 · x + 2) / (3 · x - 1)

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The inequality p > -99.93 will give the price at which the first coupon code gives Samir a better deal.

What is inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality. ' So, a lack of balance results in inequality.

To compare the savings from the two coupon codes, Samir can use the following inequality:

5% * p + 0 < 20% * p + 14.99

This inequality compares the total savings (discount + shipping cost) from the first coupon code to the total savings from the second coupon code. To solve for p, Samir can first simplify the inequality by distributing the percentages:

0.05p + 0 < 0.2p + 14.99

Then he can subtract 0.05p from both sides:

0 < 0.15p + 14.99

Then subtract 14.99 from both sides:

-14.99<0.15p

Finally, divide both sides by 0.15 to find the value of p:

p > -99.93

Hence, the inequality p > -99.93 will give the price at which the first coupon code gives Samir a better deal.

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The value of the segment UR is 9 in the parallelogram.

What is geometry?

One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

The diagonal two parts after the intersection points are equal to each other. A diagonal is a sloped or slanted line that joins two polygonal vertices, and those vertices must not be adjacent edges.

The length of the diagonal can be written as:-

TU = ( 1 / 2 ) x UR

TU = ( 1 / 2 ) x 18

TU = 9

Therefore, the value of the segment UR is 9.

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Answer:

3 . 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9 6 4 4 2 8 8 1 0 9 7 5 6 6 5 9 3 3 4 4 6 1 2 8 4 7 5 6 4 8 2 3 3 7 8 6 7 8 3 1 6 5 2 7 1 2 0 1 9 0 9 1 4 5 6 4 8 5 6 6 9 2 3 4 6 0 3 4 8 6 1 0 4 5 4 3 2 6 6 4 8 2 1 3 3 9 3 6 0 7 2 6 0 2 4 9 1 4 1 2 7 3 7 2 4 5 8 7 0 0 6 6 0 6 3 1 5 5 8 8 1 7 4 8 8 1 5 2 0 9 2 0 9 6 2 8 2 9 2 5 4 0 9 1 7 1 5 3 6 4 3 6 7 8 9 2 5 9 0 3 6 0 0 1 1 3 3 0 5 3 0 5 4 8 8 2 0 4 6 6 5 2 1 3 8 4 1 4 6 9 5 1 9 4 1 5 1 1 6 0 9 4 3 3 0 5 7 2 7 0 3 6 5 7 5 9 5 9 1 9 5 3 0 9 2 1 8 6 1 1 7 3 8 1 9 3 2 6 1 1 7 9 3 1 0 5 1 1 8 5 4 8 0 7 4 4 6 2 3 7 9 9 6 2 7 4 9 5 6 7 3 5 1 8 8 5 7 5 2 7 2 4 8 9 1 2 2 7 9 3 8 1 8 3 0 1 1 9 4 9 1 2 9 8 3 3 6 7 3 3 6 2 4 4 0 6 5 6 6 4 3 0 8 6 0 2 1 3 9 4 9 4 6 3 9 5 2 2 4 7 3 7 1 9 0 7 0 2 1 7 9 8 6 0 9 4 3 7 0 2 7 7 0 5 3 9 2 1 7 1 7 6 2 9 3 1 7 6 7 5 2 3 8 4 6 7 4 8 1 8 4 6 7 6 6 9 4 0 5 1 3 2 0 0 0 5 6 8 1 2 7 1 4 5 2 6 3 5 6 0 8 2 7 7 8 5 7 7 1 3 4 2 7 5 7 7 8 9 6 0 9 1 7 3 6 3 7 1 7 8 7 2 1 4 6 8 4 4 0 9 0 1 2 2 4 9 5 3 4 3 0 1 4 6 5 4 9 5 8 5 3 7 1 0 5 0 7 9 2 2 7 9 6 8 9 2 5 8 9 2 3 5 4 2 0 1 9 9 5 6 1 1 2 1 2 9 0 2 1 9 6 0 8 6 4 0 3 4 4 1 8 1 5 9 8 1 3 6 2 9 7 7 4 7 7 1 3 0 9 9 6 0 5 1 8 7 0 7 2 1 1 3 4 9 9 9 9 9 9 8 3 7 2 9 7 8 0 4 9 9 5 1 0 5 9 7 3 1 7 3 2 8 1 6 0 9 6 3 1 8 5 9 5 0 2 4 4 5 9 4 5 5 3 4 6 9 0 8 3 0 2 6 4 2 5 2 2 3 0 8 2 5 3 3 4 4 6 8 5 0 3 5 2 6 1 9 3 1 1 8 8 1 7 1 0 1 0 0 0 3 1 3 7 8 3 8 7 5 2 8 8 6 5 8 7 5 3 3 2 0 8 3 8 1 4 2 0 6 1 7 1 7 7 6 6 9 1 4 7 3 0 3 5 9 8 2 5 3 4 9 0 4 2 8 7 5 5 4 6 8 7 3 1 1 5 9 5 6 2 8 6 3 8 8 2 3 5 3 7 8 7 5 9 3 7 5 1 9 5 7 7 8 1 8 5 7 7 8 0 5 3 2 1 7 1 2 2 6 8 0 6 6 1 3 0 0 1 9 2 7 8 7 6 6 1 1 1 9 5 9 0 9 2 1 6 4 2 0 1 9 8 9 3 8 0 9 5 2 5 7 2 0 1 0 6 5 4 8 5 8 6 3 2 7 8 8 6 5 9 3 6 1 5 3 3 8 1 8 2 7 9 6 8 2 3 0 3 0 1 9 5 2 0 3 5 3 0 1 8 5 2 9 6 8 9 9 5 7 7 3 6 2 2 5 9 9 4 1 3 8 9 1 2 4 9 7 2 1 7 7 5 2 8 3 4 7 9 1 3 1 5 1 5 5 7 4 8 5 7 2 4 2 4 5 4 1 5 0 6 9 5 9 5 0 8 2 9 5 3 3 1 1 6 8 6 1 7 2 7 8 5 5 8 8 9 0 7 5 0 9 8 3 8 1 7 5 4 6 3 7 4 6 4 9 3 9 3 1 9 2 5 5 0 6 0 4 0 0 9 2 7 7 0 1 6 7 1 1 3 9 0 0 9 8 4 8 8 2 4 0 1 2 8 5 8 3 6 1 6 0 3 5 6 3 7 0 7 6 6 0 1 0 4 7 1 0 1 8 1 9 4 2 9 5 5 5 9 6 1 9 8 9 4 6 7 6 7 8 3 7 4 4 9 4 4 8 2 5 5 3 7 9 7 7 4 7 2 6 8 4 7 1 0 4 0 4 7 5 3 4 6 4 6 2 0 8 0 4 6 6 8 4 2 5 9 0 6 9 4 9 1 2 9 3 3 1 3 6 7 7 0 2 8 9 8 9 1 5 2 1 0 4 7 5 2 1 6 2 0 5 6 9 6 6 0 2 4 0 5 8 0 3 8 1 5 0 1 9 3 5 1 1 2 5 3 3 8 2 4 3 0 0 3 5 5 8 7 6 4 0 2 4 7 4 9 6 4 7 3 2 6 3 9 1 4 1 9 9 2 7 2 6 0 4 2 6 9 9 2 2 7 9 6 7 8 2 3 5 4 7 8 1 6 3 6 0 0 9 3 4 1 7 2 1 6 4 1 2 1 9 9 2 4 5 8 6 3 1 5 0 3 0 2 8 6 1 8 2 9 7 4 5 5 5 7 0 6 7 4 9 8 3 8 5 0 5 4 9 4 5 8 8 5 8 6 9 2 6 9 9 5 6 9 0 9 2 7 2 1 0 7 9 7 5 0 9 3 0 2 9 5 5

Step-by-step explanation:

Correct option is D, The equation which is equivalent to the expression be (x - 3)² = 14.

What do equivalent equations mean?

If two systems of equations have the same solution, they are equivalent (s).

Equations can be made equal in a variety of ways: An analogous equation is one that is created by adding or removing the identical quantity or expression from both sides of the equation. An equation is equivalent if both sides are multiplied or divided by the same non-zero value.

Equivalent fractions are those that, despite their visual differences, reflect the same value. If two or more fractions simplify to the same fraction, they are said to be equivalent.

Given,

x² - 6x = 8

Using completing the square method,

x² - 6x - 8 = 0

x² - 6x + 9 - 9 - 8 = 0

(x - 3)² = 17

Therefore, the correct answer is option D.

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The area of the given hexagon is 45 inches².

What is a hexagon?

The hexagon is a six-sided geometrical shape. It can be regular, with all sides of equal length or irregular, with all sides of unequal lengths.

From the figure given below,

The area of one right-angled triangle = 1/2 * b * h

where b = base = 2.5

h = height = 3

So area = 1/2 * 2.5 * 3 = 3.75 inches²

Now since all four right-angled triangles are similar, they have the same areas.

So the total area of triangles = 4 * 3.75 = 15 inches²

Now the remaining portion is a rectangle of sides 5 and 6.

So the area of rectangle = 5 * 6 = 30 inches²

The total area of hexagon = 30 + 15 = 45 inches²

Therefore the total area of the given hexagon is 45 inches².

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Answer:

There are a couple of ways to approach this problem, but one possible method is to use conditional probability. To find the probability that the Fisher chosen from Clearwater did not have a license and the Fisher chosen from Mountain View had a license, we can use the formula:

P(A and B) = P(A) * P(B|A)

Where A is the event that the Fisher chosen from Clearwater did not have a license and B is the event that the Fisher chosen from Mountain View had a license.

To find P(A), we can use the total number of Fishers at Clearwater who did not have a license divided by the total number of Fishers at Clearwater. So, P(A) = 4 / 40 = 1/10

To find P(B|A), we can use the total number of Fishers at Mountain View who had a license divided by the total number of Fishers at Mountain View. So, P(B|A) = 35 / 50 = 7/10

Then we can substitute these values into the formula:

P(A and B) = P(A) * P(B|A) = (1/10) * (7/10) = 7/100

So the final probability that the Fisher chosen from Clearwater did not have a license in the Fisher chosen from Mountain View had a license is 7/100.

Step-by-step explanation: