(Look at picture) 8th grade pre-algebra math question, super easy!

See explanation below

Explanation:

From the question, we are told line TV is perpendicular to line US.

This means the point which they intersect has an angle of 90°.

We are also told line TV bisects STU.

For a line to bisect an angle, it means it divided the angle into two equal parts.

When line TV bisects STU, it divided it into angle STR and angle UTR

Hence, ∠STR = ∠UTR

Also line SU and line and line VT intersect to give vertical angles.

Angle R and the angle opposite it are vertical angles.

Vertical angles are equal.

The angle with 90° and the angle opposite it is also a vertical angle.

you can see from the illustration. The two angles opposite each other are equal to 90°.

Since angle on a straight line = 180°

angle R + 90° = 180°

angle R = 180-90

angle R = 90°

All the 4 angles that result from the intersection line VT and line SU are equal to 90°

The multiplication of the value of 1305 by 81 will give a value of 105705.

It should be noted that the information given simply means the multiplication of the numbers that are given. This is quite easy and straightforward.

In this case, it should be noted that 1305 × 81 will give a value thus:

= 1305 × 81

= 105705

The value of 105705.

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Answer:

y=mx+b, where x and y are variables, m is the slope, and b is the y-int

Since there is no m value, it is 1/1 or simply 1. Therefore you rise 1 point for every 1 you move right.

Your graph needs to intercept the y-axis at point (0,6).

The easiest way to graph this equation is to plot a point at (0,6) and then start your slope of 1/1.

I have attached an image of the graph.

Hope that helps.

Answer: The answer is D: 6

Lcm of 14. 6,15 is 210 and 15. 8,14 is 840 and 16. 28,8 is 112 and 17. 24,36 is 1224 and 18 25,15 is 450

When a number is represented as the sum of its prime factors, this process is known as prime factorization. In prime numbers, there are just two factors: one and the number itself. 2, 3, 5, 7, 11, 13, and other prime numbers are examples of prime numbers. A number is prime factorized when it is represented as a collection of primes.

i) List all prime factors for each number.

Prime Factorization of 6 is:

2 x 3  =  [tex]2^{1}[/tex] x [tex]3^{1}[/tex]

Prime Factorization of 14 is:

2 x 7  =  [tex]2^{1}[/tex]  x[tex]7^{1}[/tex]

Prime Factorization of 15 is:

3 x 5  = [tex]3^{1}[/tex] x [tex]5^{1}[/tex]

Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.

The new superset list is

2, 3, 5, 7

To determine the LCM, multiply these elements collectively.

LCM = 2 x 3 x 5 x 7 = 210

In exponential form:

LCM = [tex]2^{1}[/tex] x [tex]3^{1}[/tex] x [tex]5^{1}[/tex] x[tex]7^{1}[/tex] = 210

LCM = 210

Therefore,

LCM(6, 14, 15) = 210

ii)List all prime factors for each number.

Prime Factorization of 8 is:

2 x 2 x 2  =  [tex]2^{3}[/tex]

Prime Factorization of 14 is:

2 x 7  = [tex]2^{1}[/tex] x [tex]7^{1}[/tex]

Prime Factorization of 15 is:

3 x 5  =  [tex]3^{1}[/tex] x[tex]5^{1}[/tex]

Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.

The new superset list is

2, 2, 2, 3, 5, 7

To determine the LCM, multiply these elements collectively.

LCM = 2 x 2 x 2 x 3 x 5 x 7 = 840

In exponential form:

LCM = [tex]2^{3}[/tex] x[tex]3^{1}[/tex] x [tex]5^{1}[/tex] x [tex]7^{1}[/tex] = 840

LCM = 840

Therefore,

LCM(8, 14, 15) = 840

iii)List all prime factors for each number.

Prime Factorization of 8 is:

2 x 2 x 2  = [tex]2^{3}[/tex]

Prime Factorization of 16 is:

2 x 2 x 2 x 2  =  [tex]2^{4}[/tex]

Prime Factorization of 28 is:

2 x 2 x 7  = [tex]2^{2}[/tex] x [tex]7^{1}[/tex]

Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.

The new superset list is

2, 2, 2, 2, 7

To determine the LCM, multiply these elements collectively.

LCM = 2 x 2 x 2 x 2 x 7 = 112

In exponential form:

LCM = [tex]2^{4}[/tex] x[tex]7^{1}[/tex]

= 112

LCM = 112

Therefore,

LCM(8, 16, 28) = 112

iv) List all prime factors for each number.

Prime Factorization of 17 shows:

17 is prime  =  171

Prime Factorization of 24 is:

2 x 2 x 2 x 3  =  [tex]2^{3}[/tex] x [tex]3^{1}[/tex]

Prime Factorization of 36 is:

2 x 2 x 3 x 3  =  [tex]2^{2}[/tex] x [tex]3^{2}[/tex]

Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.

The new superset list is

2, 2, 2, 3, 3, 17

To determine the LCM, multiply these elements collectively.

LCM = 2 x 2 x 2 x 3 x 3 x 17 = 1224

In exponential form:

LCM = [tex]2^{3}[/tex] x [tex]3^{2}[/tex] x [tex]17^{1}[/tex] = 1224

LCM = 1224

Therefore,

LCM(17, 24, 36) = 1224

v)List all prime factors for each number.

Prime Factorization of 15 is:

3 x 5  =  [tex]3^{1}[/tex] x [tex]5^{1}[/tex]

Prime Factorization of 18 is:

2 x 3 x 3  = [tex]2^{1}[/tex] x [tex]3^{2}[/tex]

Prime Factorization of 25 is:

5 x 5  =  [tex]5^{2}[/tex]

Find the place in the new list where each prime factor appears as a factor the most frequently before adding it there.

The new superset list is

2, 3, 3, 5, 5

To determine the LCM, multiply these elements collectively.

LCM = 2 x 3 x 3 x 5 x 5

= 450

In exponential form:

LCM = [tex]2^{1}[/tex] x [tex]3^{2}[/tex] x [tex]5^{2}[/tex]

= 450

LCM = 450

Therefore,

LCM(15, 18, 25) = 450

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(a) You and a randomly selected student from your class both earn A's in this course.

Answer: Here selection of one student is independent of the other.

Therefore it is independent.

(b) You and your class partner both earn A's in this course.

Answer: Here enough data is not available to comment whether the given event is mutually exclusive or independent.

Therefore it is neither.

(c) If two events can occur at the same time, they must be independent.

Answer: If both the events occur at the same time then it is not necessary they are independent.

Therefore it is False.

Answer:

120

Step-by-step explanation:

They need six rows with an equal amount of peppers on each row, luckily, everything we need to solve is problem is right in front of us.

First we divide the amounts below

How long the rows will be / How far apart the peppers will be spread.

As we can see that gives us 60 / 3, which should be 20.

Now that we’ve completed this portion we can move on.

Multiply your answer from the division, by how many rows there are.

Our answer from the division was 20, and as we can see there are six rows.

20 x 6 = 120.

Which should give you your answer!

The measure of the angle is 1.0 when rounded to one decimal places.

If one of the triangle's angles is 90 degrees, the triangle is said to have right angles. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees. Using the Pythagorean rule, it is simple to understand how the different sides of this triangle relate to one another. The greatest side of a right angle is known as the hypotenuse, and it is opposite the right angle. In addition, the right triangles are categorized as isosceles right triangles and scalene right triangles based on the other angle values. Pythagorean triples are another name for the right triangle's side lengths, which include 3, 4, and 5.

Given that : right triangle, we're provided the hypotenuse and the leg next to. We can use the cosine ratio to determine :

Cosθ =[tex]\frac{adjacent}{hypotenuse}[/tex]

Plug in the given information

Cosθ =[tex]\frac{4}{7}[/tex]

Use the inverse cosine ratio

θ = [tex]cos^{-1} \frac{4}{7}[/tex]

Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)

θ =0.9626

Therefore, θ = 1.0 when rounded to one decimal places.

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There are three different types of tickets sold, according on the query ($8, $15, and $20).

8500 $8 tickets

17000 at $15 each

23000 $20 tickets

Ax +By = C is the typical form for two-variable linear equations. For instance, the equation 2x+3y=5 is a standard form linear equation .Finding both intercepts is rather easy when an equation is supplied in this style (x and y).

$8 tickets for x.

$15 tickets are y.

$20 tickets = z

8x + 15y + 20z = 783000 when y = 2x z = y + 6000.

conventional form for the system of linear equations

8x + 15y + 20z = 783000 2x - y = 0 y - z = -6000

x = 8500 $8 tickets

Y = 17000 tickets at $15 each

z = 23000 at $20 each.

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Based on the interval, the average rate of change of the function is 4.0

The graph that completes the question is added as an attachment

From the graph, we can see  that the equation of the graph is a quadratic equation

Also, from the question:

We have the interval to be:

The interval is given as

x = -4 to x = 2

This can be represented as

(a, b) = (-4, 2)

From the attached graph, we have

f(-4) = 22

f(2) = -2

The estimate of the average rate of change f is calculated as(to one decimal place)

Rate = [f(b) - f(a)]/[b - a]

Substitute the known values in the above equation

This gives

Rate = [f(2) - f(-4)]/[2 + 4]

Substitute the known values in the above equation

So, we have

Rate = [-2 - 22]/[2 + 4]

Evaluate

Rate = -4.0

Hence, the estimate (to one decimal place) of the average rate of change of the graph is 4.0

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Answer: The graph for this quadratic function has an x intercept of 5 and a y intercept of 25.

Step-by-step explanation: The picture of the graph is attached below.

(I don't know if this is what you're looking for but hope it helps!)

Answer:

Part a: x + 17 = 52    Part b: He should guess the number 35.

Step-by-step explanation:

In the equation, x stands for the number he has to guess. He is given the clue, "17 more than the number is 52." Therefore x + 17 = 52. Another equation you could use is 52 - 17 = x. This equation would be used to solve the problem. 52 - 17 = 35

Step 1: Write out the formula for logistic growth model

Step 2: Write out the given values and substitute them into the formula

Hence,

Hence, the number of plants after 5 months is approximately 112

The answer to your question is =

1.57142857

The expressions that do not have a result of zero among the given expression  is 6/0.

It should be noted that the option can be written properly as :

0 x (-7)

-8 - (-8)

0/(-4)

6/0

From the first option, 0 x (-7), the simplification will give us 0.

From the second option, -8 - (-8), the simplification will give us 0.

From the third option, 0/(-4), the simplification will give us 0.

From the forth option, 6/0, the simplification will give us ∞

Therefore, the expression that will not give zero after simplification is  6/0 because it will give us infinity.

Therefore, the last option is correct.

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Answer: 156.375

Step-by-step explanation:

Euclidean geometry is the study of flat and solid figures based on the axioms and theorems of the Greek mathematician Euclid (c. 300 BCE). Euclidean geometry is the plane and solid geometry that is usually taught in High schools.

Euclidean features are ideally suited to defining man-made settings (which are usually in 3D) and are reasonably simple for the user to give.

The incorporation of scene restrictions into the model acquisition process decreases the number of unique configurations for calibration and enables model reconstruction using small sets or even single photos despite the presence of multiple occlusions.

Another obvious use for such a technology is augmented reality. After rebuilding, real-world scene models can be merged with other reconstructed or synthetic models. This is particularly beneficial in architectural applications.

Indeed, before an architectural project is approved, its influence on the existing environment is represented using hand-drawn or computer-aided design (CAD) city models.

The process of creating such models is time-consuming and needs more previous knowledge than scene reconstruction from photos.

Furthermore, when necessary, classic architectural resources such as maps and architectural drawings are simple to include in an interactive reconstruction method.

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Quotient is [tex]\frac{\sqrt{30}-3\sqrt{2}+\sqrt{55}-\sqrt{33} }{2}[/tex]

When you rationalize an equation, you remove any surpluses from the fractions' bottom (denominator). Typically, when you are requested to rationalize or simplify an expression, it also suggests that you should do so.

To make a fraction's denominator a rational number, we rationalize any radicals or surds present. To accomplish this, we often multiply the numerator and denominator by an appropriate radical, then simplify. Divide and multiply the supplied fraction by the same square root value to rationalize the denominator. The denominator will be a rational integer in this case.

Given Data

[tex]\frac{\sqrt{6}+\sqrt{11} }{\sqrt{5} +\sqrt{3} }[/tex]

Rationalizing,

[tex]\frac{\sqrt{6} +\sqrt{11} }{\sqrt{5}+\sqrt{3} }[/tex] × [tex]\frac{\sqrt{5} -\sqrt{3} }{\sqrt{5} -\sqrt{3} }[/tex]

[tex]\frac{\sqrt{6}+\sqrt{11}(\sqrt{5}-\sqrt{3} ) }{\sqrt{5}+\sqrt{3} (\sqrt{5}-\sqrt{3} }[/tex]

[tex]\frac{\sqrt{30}-\sqrt{18}+\sqrt{55} -\sqrt{33} }{5-3}[/tex]

Quotient is [tex]\frac{\sqrt{30}-3\sqrt{2} +\sqrt{55}-\sqrt{33} }{2}[/tex]

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Solution

Option D

Hence the correct answer is Option D

If we wanted to analyze the variables GNP (Gross National Product) and Region at the same time, bargraph, pie chart, one way table would be appropriate to use.

Gross national product (GNP), calculated without taking into account the depreciation or consumption of capital utilized in the manufacturing process, is the total market value of the final goods and services generated by a country's economy during a given time period (often a year).

The value of the final domestic goods and services generated inside a country's boundaries is known as the gross domestic product (GDP).

The value of all the finished goods and services that are owned by a nation's citizens, regardless of whether those kinds of goods were made in that nation, is what is known as its gross national product (GNP).

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The number of ways that the landscaper can plant the trees in a row, assuming that the trees are evenly spaced is 630 ways.

According to the data, the golf course architect needs to plant 2 bald cypress trees, 5 white birch trees, and 4 linden trees in a row along a fairway. It should be noted that the number of feasible arrangements will be shown as follows based on the information provided:

Based on the information given, it should be noted that n1 =4, n2 = 5 and n3 = 2.

Therefore, the number of ways that the lineup can be possible will be:

n! / (n − r)!

where n is the number of things to choose from and we choose r of them

This will be illustrated as:

= 10! /4!5!2!

= 630

There are 630 ways.

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The length and the width of the sticky note in millimeters are 2.5 × 10⁻⁵ millimeters and 1.25 × 10⁻³ millimeters respectively.

The dimension of Kendra's sticky note using a meter stick are:

The width of the sticky note is 1.25 × 10⁻⁸ meters and the length of the sticky note is 2.5 × 10⁻⁶ meters.

Now we know,

1 meter = 1000 milimeters.

Therefore, the length of the sticky note in millimeters will be:

L = 2.5 × 10⁻⁸ meters

L = 2.5 × 10⁻⁸ × 1000 millimeters

L = 2.5 × 10⁻⁸ × 10³ millimeters

L = 2.5 × 10⁻⁸ ⁺ ³ millimeters

L = 2.5 × 10⁻⁵ millimeters

So, the width of the sticky note is:

W = 1.25 × 10⁻⁶ meters

W = 1.25 × 10⁻⁶ × 10³ millimeters

W = 1.25 × 10⁻³ millimeters

Hence, the dimension in millimeters is: the width and length of the sticky note is 1.25 × 10⁻³ millimeters and 2.5 × 10⁻⁵ millimeters respectively.

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given polynomial is,

let us find thefactors of the polynomial,

for the polynomial,

use the formula to find the factors,

where,

thus,

thus,

the factors are,

Answer:

Step-by-step explanation:

An IRRATIONAL number is a number that can't be written as a simple fraction!

What is a simple fraction? a fraction having whole numbers for the numerator and denominator. To add on that i think it also means that it can be simplified.

So we can't have a mixed number or a fraction that can't be simplified.

A. The square root of 25=5.  Can we turn five into a fraction? We sure can! It's also whole, which is a good sign too.

B. The square root of 28=5.29 We can't turn B into a simplified fraction. it will be a mixed number with  6 93/100.  ✅

C. The square root of 48=6.93 We also can't turn C into a simplified fraction. It will be a mixed number as well, looking like 5 29/100. ✅

D. The square root of 169=13.  This is promising, it's a whole number!  

ANSWER: B AND C

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much love!! <33 || if this is wrong, don't be afraid to dislike!! thanks! :D

Given:

Where:

• S is the inflated value t years from now

• r is the rate

• C is the present value.

Let's solve for S, when:

• r = 6% = 0.06

• C = $73,000

• t = 12

Input values into the equation and solve for S:

Solving further:

herefore, the house will be worth $146890

NSWER:

$146,890

The values of x that satisfies the inequality are:

x = 0 and x = 3

Given,

The inequality = 7 + 4x > x - 2

We have to find the values of x that satisfies the inequality.

Lets check:

7 + 4 × -3 > -3 - 2

7 - 12 > -5

-5 > -5

Here, -5 = -5

So,

The value x = -3 will not satisfy the inequality

7 + 4 × 0 > 0 - 2

7 > -2

The value x = 0 satisfies the inequality

7 + 4 × 3 > 3 - 2

7 + 12 > 1

19 > 1

The value x = 3 satisfies the inequality

7 + 4 × -6 > -6 - 2

7 - 24 > -8

-17 > -8

As negative values -17 is less than -8.

So, the value x = -6 will not satisfies the inequality

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After evaluating the limit we have came to find that the limit of        [tex]\lim_{h\rightarrow 0 }\frac{(4/3 +h)^3-(4/3)^3}{h}[/tex] as h approaches 0 is Undefined

A limit is the value that a function, sequence, or index approaches as an input or as an index approaches a particular value in mathematics. The definitions of continuity, derivatives, and integrals depend on limits, which are essential to calculus and mathematical analysis.

The concept of a limit of a sequence is further generalized to include the concept of a limit of a topological network, in addition to having a connection to the category theory concepts of limit and direct limit.

A limit of a function is typically expressed in formulas as

[tex]{\displaystyle \lim _{x\to c}f(x)=L,}[/tex]

To find the limit

⇒ [tex]\lim_{h\rightarrow 0 }\frac{(4/3 +h)^3-(4/3)^3}{h}[/tex]

Evalúe 0 as h

⇒ [tex]\frac{(4/3 +0)^3-(4/3)^3}{0}[/tex]

⇒ Undefined

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