The number has been assigned to be **number line **and attached as a picture

A **number line **refers to a picture representing array of numbers arranged to suit the calculation intended to represent.

The picture shows a number line from -6 to 6

The division in the number line is showing two lines representing 1/3 and 2/3 before the next number.

This means that the point before point 6 counting from point 5 is 5 1/3, 5 2/3 then point 6

For the negative direction we have

-5, -5 1/3, -5 2/3, -6

The required answer to the questions attached

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Victoria is older than Tyee. Their ages are consecutive even integers. Find Victoria's

age if the product of their ages is 80.

The ages of Victoria and tyee are 72 and 74.

What are linear equations?A linear equation is an **algebraic equation** of the form y=mx+b that only contains a **constant** and a** first-order** (linear) **component,** where m is the **slope** and b is the** y-intercept**. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where y and x are the variables. Ax+By=C is the accepted form for **two-variable linear equations**. Finding both **intercepts** of an equation in this form is rather simple (x and y). If an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is said to be linear. The **point-slope form**, **standard form**, and **slope-intercept form** are the three primary types of linear equations.

As given

ages are **consecutive even integers**

Victoria > Tyee

So

Victoria's age = x

Tyee's age = x + 2

x(x + 2) = 80

= x² + 2x - 80

= x² + 8x - 10x - 80

Hence , the ages are 72 and 74.

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Congruent triangle

Please answers the following question…

The picture is attached below

Answer is

1) ABC similar to FED

2) This is rule AAS angle angle side congruency

3) you need to “translate” (move or slide) and “reflect” (flip or mirror) FED as per the directions to make vertices match up with ABC

A to F

B to E

C to D

1) ABC similar to FED

2) This is rule AAS angle angle side congruency

3) you need to “translate” (move or slide) and “reflect” (flip or mirror) FED as per the directions to make vertices match up with ABC

A to F

B to E

C to D

A 8 letter Code word is selected. What is the probability that there are no repeated letters?

**Probability** of selecting eight letter word without repetition of letter** is **0.3016.

There are total 26 letters in English** alphabets**. A 8 letter Code word is selected. We have to take care of repetition of letters as be are not allowed to repeat the letters.

Any letter being chosen should have an equal probability of 1/26. So, we have a probability of 1 to get a **non-repeated** **letter** while choosing the first letter.

For first letter the probability is = 26/26

For second letter the probability is = 25/26

For third letter the probability is = 24/26

For fourth **letter** the probability is = 23/26

For 5th letter the probability is = 22/26

For 6th letter the probability is = 21/26

For 7th letter the probability is = 20/26

For 8th letter the probability is = 19/26

To get an **eight letter code** that has no repeated letters, all these events have to occur.

Probability of selecting eight letter word without repetition of letters = (26/26) (25/26) (24/26) (23/26) (22/26) (21/26) (20/26) (19/26)

Probability of selecting eight letter word without repetition of letters = 0.3016

So, 0.3016 is the **probability **of selecting eight letter word without repetition of letters.

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PLSSS HELP I’LL GIVE BRAINIEST

IM ALSO NOT VERY GOOD AT MATH

The speed of light is approximately 1.86 x 10^5 miles per second.

The time it takes for a beam of light to travel from the Sun to Earth is found by dividing the distance between the Sun and Earth by the speed of light. Find the amount of time it takes for a beam of light from the Sun to reach Earth. Show all work and express your answer in minutes.

• Explain or show how to use the numbers in scientific notation to calculate the difference in the distance from Jupiter to the Sun and the distance from Mars to the Sun. Then find

the differences and express your answer in scientific notation.

• Explain or show how to find the number of miles light will travel in 1/2 minute.

THANK YOU IF YOU HELPP <3

Answer:

Step-by-step explanation:

Find the amount of time it takes for a beam of light from the Sun to reach Earth.

its so so so hard heplp !!

Since it is a isosceles triangle 44* = 2 and 4

Then calculate the top and bottom angle with 180*

44+44+a=180*

a=180-88

a=92* and bottom

Hope this helps:)

Then calculate the top and bottom angle with 180*

44+44+a=180*

a=180-88

a=92* and bottom

Hope this helps:)

Mrs. McKinnon was making t-shirts. One of the designs had the instructions to make points at the following locations and then draw lines to connect the points in order: A(-5, 5); B (-5, 1); C(2,1); and D (2, 5).

Use graph paper to plot the points.

Connect them in order: A to B, B to C, C to D, and then D back to A. What shape is created?

**Answer:**

It's basically a quadrilateral, it has no name for it.

**Step-by-step explanation:**

start off by graphing the points

the number in the front is the x axis and the number after is the y axis

Ex: (-4,3) = (X,Y)/ X is horizontal going left to right & Y is vertical going up and down.

Solve the equation.

3x^2 + 12 = 0

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:x = 2i [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 3 {x}^{2} + 12 = 0[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: 3{x}^{2} = - 12[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: {x}^{2} = - \frac{12}{3} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x {}^{2} = - 4 [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ - 4} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ (- 1)(4)} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ - 1} \sdot \sqrt{4} [/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = i \sdot2[/tex]

[tex]\qquad\displaystyle \tt \rightarrow \: x = 2i[/tex]

[ i represents iota, i² = -1, (complex number) ]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

**Answer:**

[tex]x=2i[/tex]

**Step-by-step explanation:**

Given equation:

[tex]3x^2+12=0[/tex]

**Factor **3 from the left side of the equation:

[tex]\implies 3(x^2+4)=0[/tex]

**Divide **both sides of the equation by 3:

[tex]\implies\dfrac{3(x^2+4)}{3}=\dfrac{0}{3}[/tex]

[tex]\implies x^2+4=0[/tex]

**Subtract **4 from both sides:

[tex]\implies x^2+4-4=0-4[/tex]

[tex]\implies x^2=-4[/tex]

**Square root **both sides:

[tex]\implies \sqrt{x^2}=\sqrt{-4}[/tex]

[tex]\implies x^2=\sqrt{-4}[/tex]

Rewrite -4 as 2² · -1:

[tex]\implies x=\sqrt{2^2 \cdot-1}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:[/tex]

[tex]\implies x=\sqrt{2^2}\sqrt{-1}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:[/tex]

[tex]\implies x=2\sqrt{-1}[/tex]

[tex]\textsf{Since $\sqrt{-1}=i$}[/tex]

[tex]\implies x=2i[/tex]

Imaginary numbers

Since there is no real number that squares to produce -1, the number [tex]\sqrt{-1}[/tex] is called an **imaginary number**, and is represented using the letter **i**.

An **imaginary number** is written in the form [tex]bi[/tex], where [tex]b \in \mathbb{R}[/tex].

Use the figure to find the measures of the numbered angles.

Applying the **angle relationships**, the measures of the numbered angles are:

m∠1 = 145°

m∠2 = 145°

m∠3 = 35°

m∠4 = 35°

m∠5 = 145°

m∠6 = 145°

m∠7 = 35°

How to Find the Measures of Angles Using Angle Relationships?The position of angles when a transversal intersects parallel lines determines the type of **angle relationships** that exist between the angles, and also their measure.

Based on **angle relationships**, the angle measures in the image are solved as follows:

m∠1 = 180 - 35 [linear pair **angle relationship**]

m∠1 = 145°

m∠2 = m∠1 [vertical angles]

m∠2 = 145°

m∠3 = 35° [vertical angles]

m∠4 = 35° [corresponding angles]

m∠5 = m∠2 [alternate interior angles]

m∠5 = 145°

m∠6 = m∠5 [vertical angles]

m∠6 = 145°

m∠7 = m∠4 [vertical angles]

m∠7 = 35°

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The graphs of two functions are shown. Which statements accurately compare the functions in the graph? Select two options. Neither function has a maximum value. The functions share a y-intercept of –1. The functions share an x-intercept of 1. Both functions have a range of all real numbers. Both functions have a domain of all real numbers.

The correct options are that the functions share a **y intercept** of -1 and both functions have a range of all **real numbers**.

A **function** may be defined as the expression in which for one input variable x there is only one output variable y. The input variable is known as **independent** variable and output variable is known as **dependent **variable. Real number may be defined as the set of numbers that has integers, **rational numbers**, and natural numbers. Here, from the **graph** we can see that both the functions meet on the y-axis at a point (0, -1). Thus, both these functions share a y intercept of -1. Now, both the **functions** have a certain value of y for a given value of x. Hence, both functions have a range of all **real numbers**.

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**Answer:b n d**

**Step-by-step explanation:**

Write an equation that represents the line.

Use exact numbers.

**Answer:**

**y = -2x -3**

**Step-by-step explanation:**

To write an equation we need two points that the line cuts through.

we then use the formula: Gradient = Rise/Run

the points chosen are (0,-3) and (1,-5)

Gradient = (-5--3)/(1-0)

= -2

to write the equation we need one known point, gradient and one unknown point say (x,y).

we therefore use the formula for gradient/slope

G = Rise/Run

-2 = y+3/x-0

-2x = y + 3

**y = -2x -3**

**Answer:**

y = - 2x - 3

**Step-by-step explanation:**

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (1, - 5) ← 2 points on the line

m = [tex]\frac{-5-(-3)}{1-0}[/tex] = [tex]\frac{-5+3}{1}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - 2x - 3 ← equation of line

Which value represents |12|? A. -12 B. -6 C. 6 D. 12

**Answer: 12**

**Step-by-step explanation: Because the absolut value of something will always be positive.**

**Answer:**

The value for |12| is D. 12

Rewrite as a simplified fraction.

3.8333333333333=?

**Answer:**

38333333333333/10000000000000

**Step-by-step explanation:**

Given the figure below, find the values of x and z.

zº

X

(15x + 35).

100°

Find Z pleasee

** ANSWER: x = 3 **

**z = 100**

Suppose you work for a packaging company and are designing a box that has a rectangular bottom with a perimeter of 36cm. The box must be 4 cm high. What dimension give the maximum value. V = l*w*h

I'll give you all 65 points that I have if you tell me how to do it because I want to understand the topic. thank you

Width of the box is the **dimension** which gives the gives maximum value.

Width of the box = 9 cm

Length of the box = 9 cm

Given,

The **perimeter** of the rectangular bottom of the box = 36 cm

The height of the box = 4 cm

We have to find the dimension which gives maximum value.

Volume = lwh

Perimeter = 2(l + w)

36 = 2l + 2w

l = (36 - 2w)/2

l = 18 - w

Now,

**Volume **= length × width × height

V = (18 - w) × w × 4

V = 72w - 4w²

Lets find w by using w = -b/2a

That is,

w = -72/2(-4) = -72/-8 = 9

That is,

Width of the box is 9 cm and it is the **dimension** which gives the maximum value.

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find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (enter your answers using interval notation. if an answer does not exist, enter dne.)

We need to take the derivative, which is:

[tex]f'(x) = 10x + 2[/tex]

and see where it is positive (increasing) and negative (decreasing). We see that [tex]f'(x) = 0 at x = -1/5, f'(x) < 0 for x < -1/5, and f'(x) > 0 for x > -1/5[/tex]. Therefore, we have

**f(x) increasing: (-1/5, ∞)**

**f(x) decreasing: (-∞, -1/5)**

Which arrangement shows −5 1/2 , −5 , −6.4 , and −26/4 in order from least to greatest?

<3 thx

**Answer:**

-6.4, -5 1/2, -5, and -2 6/4.

**Step-by-step explanation:**

Arranging these negative values in order from least to greatest may be tricky if you are not familiar with your integer rules and operations. However, if you seem to understand, even a little, this way may be helpful to you.

All you need to know is this. positive and negative are opposites. Thus, if, for example, +2 is greater than +1 in positives, then -2 is less than -1 in negatives. So, in other words, think about it this way when you see a negative number, but you are used to positive numbers, just assume that the biggest number on the positive side is the smallest number on the negative side.

Therefore, if we were to use this method, we would result in -6.4, -5 1/2, -5, and -2 6/4. Since it would be the opposite in positives.

PLOT THE POINTS FOR BRAINLIST HELPPPP

The **graph** of the **linear equation **4x - y = 8, with two points on the line is shown in the image attached below.

If we know the slope, m, of the **linear equation**, which is the rise of the line over the run of the line, and also know the y-intercept value, b, we can **graph** a **linear equation** such that the slope of the line would be the value of m, and the point where the line intercepts the y-axis would be the value of b in the **linear equation **that is represented as y = mx + b.

Given the **linear equation**, 4x - y = 8, we can rewrite this in slope-intercept form as y = mx + b:

4x - y = 8

-y = -4x + 8 [subtraction property of equality]

y = 4x - 8 [division property of equality]

The slope, m, is 4, while the **graph** of the **linear equation** must intercept the y-axis at y = -8, because the y-intercept of the **linear equation** is b = -8.

Thus, the **graph **of 4x - y = 8 is shown below.

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Write 3/10 + 7/100 as a single fraction using decimal notation pllllllllssss need it In a minute its urgent

**Hello!**

**Here are both solutions to your equation.**

**Fraction Form:**

[tex]\frac{37}{100}[/tex]

OR

**Decimal Form:**

*[tex]0.37[/tex]*

Hope this helps!

help need help i give 26 pointes

According to the given **line**, the points are **L and M **and the segment is **LM.**

**Lines:**

The line is defined as the **one-dimensional figure, **which has length but **no width.** It is made of a **set of points** which is extended in opposite directions infinitely.

Given,

Here we have the diagram.

Through the given diagram we have to identify the points and segments from it.

We know that, the points refers the is a dimensionless shape, since it represents a dot only, whereas a line is a one-dimensional shape.

Based on this definition , we have two **points **that L and M in the given diagram.

Next one we have to identify from the graph is segment,

**Segment **means the part of the line that connects two points.

So, LM is the segment of the line.

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need help on this question

**Answer: x = 20**

**Step-by-step explanation:**

The angles are corresponding angles so they are equivalent to each other. To solve for x, we set them equal and then solve for x.

65 = 3x + 5

60 = 3x

x = 20

**Answer:**

**the other person has it right- it's x =20**

Rewrite this sentence

The brick old red depressing building was filled with students

**Answer: Students filled the brick old red depressing building. **

**Step-by-step explanation:**

A political campaign manager negotiated radio & television time for a candidate’s political announcements. The budget is limited to $48,000 on the announcements. Each 60-second radio spot cost $200, whereas 30 seconds of television time costs $600. The manager wants at least 45 radio spots, but no more than 90 and at least 20 television spots. Is the following system of inequalities correct?

200 r +600 t ≤ 48000

45≤ r ≤ 90

t ≥ 20

**Yes, **the **system **of **inequalities **listed to the represent the wants of the campaign manager are **correct**

This refers to the term in mathematics that uses some expressions to typify statements.

The following are the **statements **in inequalities

Considering the question here:

r = each 60-second radio spot

t = 30 seconds of television time

The budget is **limited **to $48,000 means **less than or equal to**

The manager wants at least 45 radio spots, but no more than 90

means radio spots** from 45 to 90 **hence 45≤ r ≤ 90

at least 20 means television spots of **20 and above** hence t ≥ 20

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A 10 inch-candle burns at a linear rate. It measures 9 inches two hours after it was lit. Which equation can be used to find the length of the candle, y, in inches after x hours it was lit?

1. y = 10 - 0.5x

2. y = 10 - 4.5x

3. y = 10 - 9x

4. y = 10 - 2x

**Answer:**

**Step-by-step explanation:**

Find the **burning rate** of candle per hour:

The **rate is the slope** of the linear function and the** initial length of the candle is the y-intercept**:

The **equation **is:

**Correct choice is the first one**.

Solve u² = -121, where u is a real number. Simplify your answer as much as possible.

Simplifying the answer

**What is Real number ?**

The value of a continuous quantity that can represent a distance along a line is a **real** **number**. René Descartes first used the word "**real**" in this meaning in the 17th century when he made a distinction between the **real **and imaginary roots of polynomials.

Solve : u² = -121

putting square root on both side

√u² = √ (-121)

u = (-11)

u = 11i

Since, there is no **real **square root of -121

If i is the imaginary unit then i = -1 and we find that

11i is square root of -121

Hence, the simplify answer for u² = -121 is 11i

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Given m/n find the value of x

**Answer:**

x = 49°

**Step-by-step explanation:**

x = 49°

since m and n are parallel to each other

with T an oblique vector

forming a Z shape

to make this true

Suppose a state has license plates that display seven characters.

a) How many different 7 character plates are possible if only the digits 0-9 are used?

**Answer:License plate numbers in certain state consists of seven characters: The first character is digit (0 through 9) The next four characters are capital letters (A through Z) and the last two characters are digits. Therefore; license plate number in this state can be any string - of the form: Digit-Letter-Letter-Letter-Letter-Digit-Digit How many license plate numbers are possible if no digit appears more than once?**

**Step-by-step explanation: i don't know rm**

The range of F(x) = 7.4* is all positive real numbers.

The **range **of F(x) = 7.4* is all positive real numbers is true

**What is Range ?**

When the sample maximum and minimum are subtracted, the **range **of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.

Currently, the function is

f(x) = 7 x 4^x

Suppose,

y = f(x) = 7 x 4^x.

=> y = 7 x 4^x

Hence,

lny = ln (7 x 4^x).

We obtain using the logarithm equation

Hence,

ln y = ln7 + ln 4^x.

= ln y = ln7 + x ln4 .

Hence,

y equals e^(ln7 + x ln4).

=> y = e^ln7.e^(xln4) (xln4)

Using the exponential formula, we obtain

=> y = 7xln4

Consequently, y=f(x)=7.x.ln4

To determine function f's value (x)

7.x.ln7 = 0

As a result, For all possible values of x (x€R). To date,

=> 7x ≥ 0

=> 7xln4 ≥ 0

Therefore interval notation will be (0,∞)

Notation for set builders:

{y|y>0}

The graph will be plotted as follows if all the values of x (x€R) are used:

Hence, it is true that the **range **of f(x)=7*4x is all positive real integers.

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Two numbers add up to $23$ and their difference is $27$. How far apart are the two numbers

**Answer:**

27

**Step-by-step explanation:**

x + y = 23

x - y = 27

(x + y) + (x - y) = 23 + 27

2x = 50

x = 25

y = - 2

How to find distance:

|25 -(-2)| = |27| = 27

**Answer:-4+27**

**Step-by-step explanation:**

Answer the 2 question in the photo for EASY points ( 20 points )

**Answer:**

the answer is 29

The answer would be 29 hope this helps!

Find a cubic model for the set of values. (-2,-7)(-1,0)(0,1)(1,2)(2,9)

The required **cubic model** would be y = 1 + x³ for the given **set** of **values**.

The **cubic model** function takes the form:

y = a + bx + cx² + dx³,

where a, b, c, and d are real **integers** that represent the cubic regression model's **coefficients** As you can see, we simulate how the **value** of y changes as x changes.

x₁ = -2, y₁ = -7

x₂ = -1, y₂ = 0

x₃ = 0, y₃ = 1

x₄ = 1, y₄ = 2

x₅ = 2, y₅ = 9

Computing the values in the **regression models** to get the values of **coefficients **to which the **graph** has attached.

y = a + bx + cx² + dx³

Fitted **coefficients**:

a = 1

b = 0

c = 0

d = 1

Cubic model:

y = 1 + x³

Hence, the required **cubic model** would be y = 1 + x³ for the given **set** of **values**.

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A group of friends wants to go to the amusement park. They have no more than $155 to spend on parking and admission. Parking is $18, and tickets cost $24 per person, including tax. What is the maximum number of people who can go to the amusement park?
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