In the first paragraph of the passage on pages 2 and 3.

The greatest common factor of 8x3y4z6, 12x5y3z7, and 24x4yz5 is 4x3y3z5.

A factor is a number which is multiplied with another number to produce a product. Factors can be used to solve equations, calculate the greatest common factor, and determine the least common multiple of two or more numbers. Factors are also used in statistics, finance, and other mathematical disciplines.

This can be found by listing the prime factors of each of the numbers:
8x3y4z6 = 2²x3²x5x7
12x5y3z7 = 2²x3x5²x7
24x4yz5 = 2⁴x3x5x7
The highest power of each factor in the prime factorization is the highest power of that factor in the greatest common factor. Therefore, the greatest common factor is 4x3y3z5.

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To find the greatest common factor (GCF) of three or more numbers or expressions, we can use the prime factorization method. This involves breaking down each number or expression into its prime factors, and then looking for the factors that are common to all of them. The GCF is the product of these common factors.

First, we will break down 8x3y4z6, 12x5y3z7, and 24x4yz5 into their prime factors:

8x3y4z6 = 2^3 * x^3 * y^4 * z^6

12x5y3z7 = 2^2 * 3 * x^5 * y^3 * z^7

24x4yz5 = 2^3 * 3 * x^4 * y * z^5

The GCF is the product of the smallest power of the prime factors that are common to all of the given expressions.

In this case, the greatest common factor is (2^2x^3y^3*z^5)

So, the GCF of 8x3y4z6, 12x5y3z7, and 24x4yz5 is 2^2x^3y^3*z^5

Answer:

A

Explanation:

Think of if someone asked you to find f(2). You would plug in 2 into the equation f(x) to find the y value at 2. You do the same thing with this problem, but instead plug in the equation.

f(\(\frac{1}{2}\)x + 3) = -2(\(\frac{1}{2}\)x + 3) + 7

            = -x - 6 + 7

            = -x + 1

Answer:bacteria cereus

Explanation:

Answer:

C: Bacillus cereus

Answer:

huhuhuhu anong klasing tanong to

Answer:

Human senses include sight, hearing, balance, taste, smell, and touch. Sensory organs such as the eyes contain cells called sensory receptors that respond to particular sensory stimuli. Sensory nerves carry nerve impulses from sensory receptors to the central nervous system.

Quadrilateral ABCD is both a parallelogram and a rhombus.

The figure ABDC with diagonal BC, with the congruent sides AB and DC, angle A is congruent to angle D, and sides AC and DB are congruent is a parallelogram. This is based on the definition of a parallelogram which is a quadrilateral with opposite sides that are parallel and congruent to each other.

Also, opposite angles of a parallelogram are congruent. Therefore, angle A and angle C are congruent. Additionally, angle B and angle D are also congruent because they are opposite angles of a parallelogram.The diagonal of a parallelogram cuts it into two congruent triangles.

Triangle ABD and triangle CBD are congruent triangles, since their sides are congruent, and angles A and D, and angles B and C, are congruent by the given information.

Therefore, their included angles ABD and CBD are also congruent. Because their opposite sides are congruent, quadrilateral ABCD is a rhombus. A rhombus is a parallelogram with all sides congruent. This implies that sides AB, BC, CD, and DA are all equal.

In conclusion, quadrilateral ABCD is both a parallelogram and a rhombus.

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Answer:c

Explanation:

c

Answer:

Answer:

30!

Explanation:

you asked that if there are 30 students in her class,how many students are in her class.

Answer:

I would be guessing?

Explanation:

all jokes aside, what do u mean by equation of the circle

Answer:

Explanation:

Just calculate some points:

θ ... y

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

0 ... 0

π/6 ... 2(1/2) = 1

π/3 ....2(√3/2) = √3

π/2 ... 2(1) = 2

π .... 0

3π/2 = 2(1) = 2

2π = 0

Answer:Use hollow blocks for constructions such as walls, partitions, fences, and other load-bearing structures.

Concrete hollow blocks are made from fine aggregates (such as sand) and cement to be formed into various sizes.

The bricks are made from clay and other materials.

Place the newly formed blocks into a curing area to dry and solidify.

Bricks are placed into an oven (or kiln) where high temperature bakes the materials.

The aggregates are loose particles commonly found near the shorelines.

Gravel is a loose collection of rock fragments.

Steel square / try square is used to check the squareness and accuracy of corners and angles.

Bolts and nuts can be tightened and loosened using a wrench.

Only qualified masons or personnel with proper training and certification are allowed to work in concrete operations.

Always consult the drawing or blueprint when working with masonry operations to ensure accuracy and compliance with design specifications.

The vertical alignment of the scaffold is checked using a spirit level or plumb bob.

Never use unclean water in the concrete mixture to avoid compromising the quality of the material.

Cement is a combination of calcium silicates and aluminates.

We use a platform or lumber in mixing large amounts of mortars to facilitate the process and ensure even mixing.

Answer:the beginning of a formula is a = sign

Explanation: hoped that helped and do great on your SAT

Answer:

The audience likes to guess what the actor is doing. It incorporates audience interaction and that wouldn't be possible if the actors simply imitate physical actions.

Answer:

To find the 95% confidence interval for the true mean breaking strength of all cables produced by the manufacturer, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

First, let's calculate the standard error, which is the standard deviation divided by the square root of the sample size:

Standard Error = Standard Deviation / √(Sample Size)

= 92 / √(90)

≈ 9.685

Next, we need to determine the critical value corresponding to a 95% confidence level. Since the sample size is large (n > 30), we can use the z-table. The z-value for a 95% confidence level is approximately 1.96.

Now we can calculate the confidence interval:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

= 1700 ± (1.96 * 9.685)

Lower Limit = 1700 - (1.96 * 9.685)

≈ 1679.69

Upper Limit = 1700 + (1.96 * 9.685)

≈ 1720.31

Therefore, the 95% confidence interval for the true mean breaking strength of all cables produced by this manufacturer is approximately (1679.7, 1720.3). The lower limit is 1679.7 pounds, and the upper limit is 1720.3 pounds.

Answer:

Y= -2/3X - 7

Explanation:

The Selection Index provided in the PSAT score report is used to determine eligibility for the National Merit Scholarship program. Thus, option A is correct.

The National Merit Scholarship Program, run by the National Merit Scholarship Corporation, is an intellectual scholarship competition for university scholarships in the United States. Concurrent with the Civil Rights Act of 1964's adoption, the National Achievement Scholarship Program was created in 1964 with the express purpose of encouraging Black American youngsters to pursue higher education.

There is a scholarship program called the National Merit Scholarship available to any student who meets the qualifications. It also managed the National Achievement Scholarship Program, which was only available to African-American students, until 2015. More than four million African-Americans have enrolled in the program during its half-century existence. 228,000 people have received program recognition.

Thus, option A is correct.

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Answer:

a.cademics.helper

Explanation:

reach out IG answer is here

Answer:

C. Maturation of the frontal cortex.

The change that is made to the brain during puberty expert the maturation of the frontal cortex. Hence option C is correct.

Puberty is the time when the body of the girl or the boy develops and takes place at the teenage and hence includes the physical change associated with the body development such as the growth of breasts and hormonal changes are associated with the puberty. The changes can be different for girls and boys.

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the prophet Muhammad is called Allah

Answer:

true

Explanation:

Answer:

true

Explanation:

Answer:

there is not one last time i looked

Explanation:

The amount of money paid by Debbie is $40.42.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the sales tax rate in 6. 35% in Connecticut . The amount of money after sales tax will be calculated as:-

The total price for a pair of jeans is $38 and the sales tax is 6. 35%. So, if you do 38 x 6. 35%, you get 2.413. Add 2.413 and $38 together to get a total of $40.42

Amount = ( 38 x 6. 35% ) + 38

Amount =  2.413 + 38

Amount = $40.42

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Answer:

to find evidence of events in the history of the universe

Explanation:

A goal of the mission of the James Webb Space Telescope is to find evidence of events in the history of the universe.

The correct answer to the given question is option C.

The James Webb Space Telescope has several objectives and goals, with the primary aim of its mission being to identify the events that led to the formation of the universe.

In addition, it aims to collect data on various galaxies, stars, and planets that will help scientists determine the evolution of these entities.The primary objective of the James Webb Space Telescope is to identify the early universe's formation by collecting data on the stars, galaxies, and planets.

It is also aimed at gathering data on various celestial objects such as exoplanets and black holes.The James Webb Space Telescope aims to collect data that will allow astronomers to determine the events that led to the formation of the universe.

It will collect data on distant galaxies, stars, and planets to provide insights into the evolution of these entities. The telescope will have advanced capabilities such as infrared vision that will allow it to collect data on some of the universe's earliest structures.

Additionally, the James Webb Space Telescope aims to collect data on exoplanets, which could provide insights into how life in the universe developed. The telescope's ability to identify the atmospheric composition of exoplanets will be crucial in determining their habitability.

Ultimately, the telescope's primary goal is to contribute to the advancement of our understanding of the universe.

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Answer:

it is 10.8 unit i hope this helps

Answer:

This might be the answer you're looking for.

Explanation:

The length of pq is in the screenshot I took after completing the quiz.

Answer:

(:

Step-by-step explanation:

∠TRV = ∠SRW ( vertical angles ), hence

2x + 15 = 85 ( subtract 15 from both sides )

2x = 70 ( divide both sides by 2 )

x = 35

Hence

∠VRU = 2x + 10 = ( 2 × 35) + 10 = 70 + 10 = 80°

and

∠URW + ∠VRU + ∠SRW = 180 ( sum of angles in a straight line ), thus

∠URW + 80 + 85 = 180

∠URW + 165 = 180 ( subtract 165 from both sides )

∠URW = 15°

Answer:

80 and 15

Explanation:

trust

Physical quality refers to a tangible object or entity's characteristics, attributes, or properties that determine its level of excellence, durability, reliability, or overall performance.

It refers to the objective measures of how well a product or service meets the established standards or specifications.

Physical quality is typically evaluated based on factors such as appearance, functionality, structural integrity, strength, precision, consistency, and other physical attributes.

For example, in manufacturing, physical quality may involve assessing the dimensional accuracy, material properties, surface finish, and overall workmanship of a product. In the context of services, physical quality may refer to the condition and maintenance of physical facilities, equipment, or infrastructure.

Maintaining high physical quality is important for customer satisfaction, as it directly affects the usability, reliability, and longevity of a product or service. By meeting or exceeding customer expectations in terms of physical quality, businesses can enhance their reputation, build customer loyalty, and gain a competitive advantage in the marketplace.

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Answer:

If we consider each letter in the word "SUDAN" and "ITALY" as a digit, where "A" is represented by 1, "B" by 2, and so on, then we can add up the digits in each word to get their respective codes.

For "SUDAN," we have:

S = 19

U = 21

D = 4

A = 1

N = 14

Adding these up, we get:

19 + 21 + 4 + 1 + 14 = 59

So "SUDAN" is coded as "59."

For "ITALY," we have:

I = 9

T = 20

A = 1

L = 12

Y = 25

Adding these up, we get:

9 + 20 + 1 + 12 + 25 = 67

So "ITALY" is coded as "67."

Now, for "EGYPT," we have:

E = 5

G = 7

Y = 25

P = 16

T = 20

Adding these up, we get:

5 + 7 + 25 + 16 + 20 = 73

So "EGYPT" is coded as "73."