What is the value of X that makes A parallel to B? WILL GIVE BRAINLIEST!

What Is The Value Of X That Makes A Parallel To B? WILL GIVE BRAINLIEST!

Answers

Answer 1

Answer:

20

Step-by-step explanation:

To make these parallel, 2 and 5 would have to be corresponding angles, meaning that they have equal angle measure:

3x-20=x+20

3x=x+40

2x=40

x=20

Hope this helps!

Answer 2

Answer:

x= 20

Step-by-step explanation:

To make the lines parallel, angle 2  would equal angle 5

3x-20 = x+20

Subtract x from each side

2x -20 = 20

Add 20 to each side

2x-20 +20 = 20+20

2x = 40

Divide by 2

2x/2 = 40/2

x = 20


Related Questions

Josiah kept track of how many songs of each genre were played in an hour from his MP3 player. The counts are displayed in the table below. He has a total of 1,500 songs on his player. Josiah predicted the number of rock songs on his MP3 player to be 300 songs. Which statements about his solution are true? Select three choices. Josiah’s Music Sample 1 Sample 2 R & B 5 R & B 4 Pop 4 Pop 3 Classical 3 Classical 5 Jazz 2 Jazz 4 Rock 6 Rock 4 Josiah’s work: StartFraction 10 over 20 EndFraction = StartFraction x over 1,500 EndFraction. StartFraction 10 times 30 over 20 times 30 EndFraction = StartFraction x over 1,500 EndFraction. 300 = x. He should have found the average of the number of rock songs by averaging 4 and 6 to get 5. He did not multiply the numerator and denominator by the correct number to equal 1,500. His answer will be one-half of what he got because he did not divide 10 by 2 when setting up the proportion. He can only solve the proportion by multiplying the numerator and denominator by a common multiple. He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500.

Answers

Answer:

Please Mark as Brainliest

Step-by-step explanation:

Based on the information provided, the three true statements about Josiah's solution are:

"300 = x." - This statement is true because Josiah predicted that there were 300 rock songs on his MP3 player.

"He did not multiply the numerator and denominator by the correct number to equal 1,500." - This statement is true because in his proportion, Josiah multiplied the numerator and denominator by 30, which is not a multiple of 1,500.

"He should have multiplied the numerator and denominator by 75, not 30, because 20 times 75 = 1,500." - This statement is true because to set up a proportion with 1,500 as the denominator, Josiah should have multiplied the numerator and denominator by a multiple of 1,500. In this case, 75 is a multiple of 1,500, so multiplying by 75 would have been the correct approach.

the answer for y-3=-3y-43

Answers

Answer: y = -10

pls mark brainleist

What is the range of the following relation?
{(10, 14), (-5, 16), (12, 14), (-5, 18)}
A-5
B 16
C14
D 18

Answers

Answer:

A

Step-by-step explanation:

Kevin is a server at an all-you-wish-to eat sushi restaurant. At one table, the customers ordered 3 child meals and 2 adult meals, which cost $80 in total. At another table, the customers ordered 5 child meals and 3 adult meals, which cost $125 in total. How much does each child meal and adult meal cost?​

Answers

Answer:

Read below for full answer :)

Step-by-step explanation:

We can conclude that the total cost of all meals was $205.

There were a total of 8 kids meals and 5 adult meals.

You'd have to divide 205 by 8, and you'd get 25.625.

Then, divide 205 by 5, and you'd get 41.

For example, we could say that each childrens meal was $15 ($120 total in kid's meals), and each adult was $17 ($85 total in adult meals).

When you total $85 and $120, it then given you a sum of $205.

There are many ways to complete this equation, but i feel that this is the easiest way.

Hope this helps! :)

Prove each of the following statements using strong induction. a. Prove that any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps. b. Prove that any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps. c. Prove that any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

Answers

a) By strong induction, any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

b) By strong induction, any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

c) By strong induction, any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

a. Prove that any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

Base case: For postage worth 8 cents, we can use two 4-cent stamps, which can be made using a combination of one 3-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 8, can be made from 3-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 8, we can use the induction hypothesis to make k cents using 3-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with a 5-cent stamp to get the same value. If the last stamp we added was a 5-cent stamp, we can replace it with two 3-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3-cent or 5-cent stamps.

b. Prove that any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

Base case: For postage worth 24 cents, we can use three 8-cent stamps, which can be made using a combination of one 7-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 24, can be made from 7-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 24, we can use the induction hypothesis to make k cents using 7-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 5-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with three 5-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 7-cent or 5-cent stamps.

c. Prove that any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

Base case: For postage worth 12 cents, we can use one 3-cent stamp and three 3-cent stamps, which can be made using a combination of two 7-cent stamps.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 12, can be made from 3-cent or 7-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 12, we can use the induction hypothesis to make k cents using 3-cent or 7-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with one 3-cent stamp and two 7-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3

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Joe takes out a loan for $19,000. He will pay the loan back monthly. The interest rate is 7.6% per year and the length of the loan is 4.5 years. TEKS 8.12(A), 8.12(B) 1. Determine how many payments need to be made. Explain.

Answers

Answer:

54 monthly payments

Step-by-step explanation:

the total number of payments = 4.5 years x 12 payments per year = 54 monthly payments

each monthly payment = loan / PV annuity factor

loan = $19,000PV annuity factor, 54 periods, 0.6123%) = 45.6139

monthly payment = $19,000 / 45.6139 = $416.54

a trinagle is shown. what is y?

a trinagle is shown. what is y?

Answers

Answer:

82+54=136°

Step-by-step explanation:

the value of the extreior angle in a tringle equals to the sum of the further two angles in the tringle

would the sample size be large enough if the population is school-aged children and young adults in the united states? explain in 2-3 sentences.

Answers

Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.

Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.

The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.

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Two towns, A and B, are 198 kilometres apart.
a) Kenan travelled by car from A to B at an average speed of 66km/h.
How long did his journey take?
11
hours?

Answers

Answer:

t = 3 hours

Step-by-step explanation:

The distance between A and B is 198 km

Kenan traveled by car from A to B at an average speed of 66km/h

We need to find the time taken to complete the journey. It can be solved as follows :

\(v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{198}{66}\\\\t=3\ h\)

So, the required time is equal to 3 hours.

determine whether the series is absolutely convergent, conditionally convergent, or divergent. [infinity] k 4 5 k k = 1

Answers

To determine whether the series is absolutely convergent, conditionally convergent, or divergent, we need to evaluate the sum of the series. The given series is:

∞Σk=1 4k/(5k+k)

Simplifying the denominator, we get:

∞Σk=1 4k/(6k)

= ∞Σk=1 2/3

Since the summand is a constant value (2/3) and does not depend on k, the series is a divergent series.

Therefore, the given series is divergent.
Hi! To determine whether the series is absolutely convergent, conditionally convergent, or divergent, we will consider the given series:

Σ (4 / (5k)), where k = 1 to ∞

First, we'll examine absolute convergence by taking the absolute value of the series terms:

Σ |4 / (5k)| = Σ (4 / (5k))

Since the absolute value does not change the terms in this case, the series is the same. Now we'll apply the Ratio Test:

lim (n → ∞) |(4 / (5(k+1))) / (4 / (5k))|

= lim (n → ∞) (4 / (5(k+1))) * (5k / 4)

= lim (n → ∞) (5k / (5(k+1)))

= lim (n → ∞) (5k / (5k + 5))

= lim (n → ∞) (k / (k + 1))

= 1

The result of the Ratio Test is 1, which means the test is inconclusive. However, we can apply the Comparison Test with the harmonic series Σ (1 / k), which is known to be divergent. Since 4 / (5k) ≤ 1 / k for all k, and the harmonic series is divergent, the given series is also divergent by the Comparison Test.

So, the given series is divergent.

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On the main floor of the Kodak Hall at the Eastman Theater, the number of seats per row increases at a constant rate. Steven counts 31 seats in row 3 and 37 seats in row 6. How many seats are there in row 20?

Answers

The required number of seats in row 20 is 126.

In this question, we are given that the number of seats per row increases at a constant rate on the main floor of the Kodak Hall at the Eastman Theater.

Steven counts 31 seats in row 3 and 37 seats in row 6. We need to determine how many seats are there in row 20. Let the number of seats in row 3 be a and the common difference be d.

Then, we can express the number of seats in row 6 and row 20 in terms of a and d.

The number of seats in row 6 is given to be 37. So, using the formula for the nth term of an arithmetic sequence, we can write an = a + (n - 1)d37 = a + 3d ...(1)Similarly, the number of seats in row 3 is given to be 31.

So, we have a3 = a + 2d31 = a + 2d ...(2)Subtracting equation (2) from equation (1), we get:37 - 31 = (a + 3d) - (a + 2d)6 = Thus, the common difference is 6. Now, using equation (2), we can write:31 = a + 2d31 = a + 2(6)31 = a + 123 = Therefore, the number of seats in row 20 will be:a20 = a + 19d = 12 + 19(6) = 126. So, there are 126 seats in row 20.

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A ball falls from a window. Its height, as a function of time, is modeled by
y=-4.9x^2 + 12
Which statement best describes the function?

A. The function is nonlinear
B. The function is linear at some points and nonlinear at other points.
C. Not enough information is given to decide,
D. The function is linear

Answers

Answer: A

Step-by-step explanation:

find an equation of the line through (2,5) and parallel to y=3x-6. write the equation using function notation.

Answers

Answer

y = f(x) = 3x - 1

Explanation

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

Two lines that are parallel to each other have the same slope.

If the equation of a straight line is written in the form of y = 3x - 6,

,The slope and y-intercept form of the equation of a straight line is given as

y = mx + c

where

y = y-coordinate of a point on the line.

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

c = y-intercept of the line.

So, in y = 3x - 6, the slope = m = 3

So, using the point-slope form,

y - y₁ = m (x - x₁)

m = 3

(x₁, y₁) = (2, 5)

x₁ = 2, y₁ = 5

y - y₁ = m (x - x₁)

y - 5 = 3 (x - 2)

y - 5 = 3x - 6

y = 3x - 6 + 5

y = 3x - 1

In function notation, y = f(x)

So, the equation of the line required is

y = f(x) = 3x - 1

Hope this Helps!!!

A rectangle price of lawn i 55 m 98 m long find the length of the fence around it

Answers

Answer:

306m

Step-by-step explanation:

someone else asked the same question here! https://brainly.com/question/30091724

there are better explainations there :)

you're looking for the perimeter, so you need to add all the sides. that's 55+55+98+98, which is 306.

2m - n =8 Solve for n

Answers

Answer:

\( \boxed{\sf n = 2m - 8} \)

Step-by-step explanation:

Solve for n:

⇒2m - n = 8

Subtract 2 m from both sides:

⇒2m - 2m - n = 8 - 2m

2m - 2m = 0:

⇒-n = 8 - 2 m

Multiply both sides by -1:

⇒-n × (-1) = (8 - 2m) × (-1)

⇒n = 2m - 8

The required value of n is equal to n = 2m - 8.

An expression is given in the question ; i.e., 2m - n = 8.

We have to find the value of the 'n' .

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.

As per the question ;

The given expression is 2m - n = 8.

Let's solve it to get the value of n.

The value of n can be find out , if we bring n to the left side of equal sign and 8 to the right of equal sign.

So ,

2m - n = 8 can be written as ;

2m = 8 + n

or

n = 2m - 8

Thus , the required value of n is equal to n = 2m - 8.

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PLEASE AMSWER QUESTOON 1 AND 2 PLEASE ITS EASY PLES I NEED IT PLS

PLEASE AMSWER QUESTOON 1 AND 2 PLEASE ITS EASY PLES I NEED IT PLS

Answers

Answer:

1. 27 bouquets

2. a, d, e

Step-by-step explanation:

1. Rate of increase is 1 bouquet:9 flowers (found by dividing 3 and 27 by GCF which is 3) so if she has 243 flowers you divide that by 9 to get 27 bouquets.

Please help me asap if can!!!

Please help me asap if can!!!

Answers

Answer:

Step-by-step explanation:

2m in height : 11m in length

300m in length: 1650m in length

This is because you multiply each side by 150.

The horizontal length will be 1650m.

b) I'm so sorry. I'm in year 9 so I don't think I've learnt this. I think it might be tan. :)


Determine if triangle QRS and triangle TUV are or are not similar, and, if they are, state which triangle similarity shortcut (AA, SSS, SAS) you can use to prove it.

Show your work below proving that the triangles me the shortcut's criteria.

(Note that figures are NOT necessarily drawn to scale.)​

Determine if triangle QRS and triangle TUV are or are not similar, and, if they are, state which triangle

Answers

Answer:

Step-by-step explanation:

SSS theorem of similarity

Determine if triangle QRS and triangle TUV are or are not similar, and, if they are, state which triangle

state the degree of f(x)= -x^4+x^2+x+1

Answers

Answer:

degree of 4

Step-by-step explanation:

The largest exponent.

what is a complementary angle?

Answers

Answer:

A complementary angle are angles that add up to 90 degrees.  For example, a 30 degree angle and a 60 degree angle are complementary angles because 30+60=90

Step-by-step explanation:

Answer:

Complementary angles are angles that add to a total of 90 degrees. An example of complementary angles are 44 and 46 degrees, because they sum to 90! Hope this helps you out!


if given points A at (1,4) and B at (6,10) determine AB

Answers

Answer:

would be A.

Step-by-step explanation:

A.


If n(B) = 275, n(A ∩ B ∩ C) = 60, n(A ∩ B ∩ CC) = 115, and n(AC
∩ B ∩ C) = 40, what is n(AC ∩ B ∩ CC)?

Answers

Given that n(B) = 275, n(A ∩ B ∩ C) = 60, n(A ∩ B ∩ CC) = 115, and n(AC ∩ B ∩ C) = 40. The value of n(AC ∩ B ∩ CC) = 5, which means the number of elements in AC ∩ B ∩ CC is 5

Let AC = X. Then we can write:

n(B) = 275

n(A ∩ B ∩ X) = 60

n(A ∩ B ∩ CC) = 115

n(X ∩ B ∩ C) = 40

n(X ∩ B ∩ CC) = ?

Now, let’s use a Venn diagram:

Using the given values and the Venn diagram, we can fill in some more values:

n(A) = 60 + n(A ∩ B ∩ C) + n(A ∩ B ∩ CC) + n(A ∩ BC) + n(A ∩ BCC) + n(AC ∩ B ∩ C) + n(AC ∩ B ∩ CC)

n(A) = 60 + 115 + n(A ∩ BC) + n(A ∩ BCC) + 40

n(A) = 215 + n(A ∩ BC) + n(A ∩ BCC)

Using a similar technique:

n(C) = 115 + n(B ∩ C ∩ CC) + n(A ∩ C ∩ CC) + n(A ∩ BC) + n(AC ∩ B ∩ C) + n(AC ∩ B ∩ CC)

n(C) = 115 + 20 + n(A ∩ BC) + n(AC ∩ B ∩ C) + n(AC ∩ B ∩ CC)

n(C) = 150 + n(A ∩ BC) + n(AC ∩ B ∩ CC)

Using the information we have, we can create two equations:

n(B) = 275n(A) = 215 + n(A ∩ BC) + n(A ∩ BCC)

n(C) = 150 + n(A ∩ BC) + n(AC ∩ B ∩ CC)

We can solve the third equation for n(AC ∩ B ∩ CC).

40 = n(X ∩ B ∩ C)

n(X ∩ B ∩ CC) = n(B) - n(X) + n(X ∩ B ∩ C)

n(X) = n(A ∩ B ∩ C) + n(A ∩ B ∩ CC) + n(AC ∩ B ∩ C) + n(AC ∩ B ∩ CC)

n(X) = 60 + 115 + 40 + n(AC ∩ B ∩ CC)

n(X) = 215 + n(AC ∩ B ∩ CC

)n(C) = 150 + n(A ∩ BC) + n(AC ∩ B ∩ CC)

275 = n(A) + n(B) + n(C) - n(A ∩ B ∩ C) - n(A ∩ B ∩ CC) - n(B ∩ C ∩ CC) - n(A ∩ BC) - n(A ∩ BCC) - n(AC ∩ B ∩ C) - n(AC ∩ B ∩ CC)

275 = 215 + n(A ∩ BC) + n(A ∩ BCC) + n(AC ∩ B ∩ C) + n(AC ∩ B ∩ CC) + n(B) + n(C) - 60 - 115 - 20

n(A ∩ BC) + n(A ∩ BCC) + n(AC ∩ B ∩ CC) = 20

Now,n(C) = 150 + n(A ∩ BC) + n(AC ∩ B ∩ CC)

150 + n(A ∩ BC) + n(AC ∩ B ∩ CC) = 115 + 20 + 40

n(A ∩ BC) + n(AC ∩ B ∩ CC) = 5

Therefore, n(AC ∩ B ∩ CC) = 5

Therefore, n(AC ∩ B ∩ CC) = 5, which means the number of elements in AC ∩ B ∩ CC is 5.

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Help please just this I will mark someone's answer the brainliest if they answer correctly.

3. A library charges a late fee of $3.50 plus $0.15 per day that a book is returned late. B. Make an equation to find if the total fee if a book is 10,15,20, or 25 days late. Then graph the ordered pairs.​

Help please just this I will mark someone's answer the brainliest if they answer correctly. 3. A library

Answers

Answer:

a. f = 3.50 + 0.15d

b. please see the analysis

Explanation and graph given in the picture

I hope it helps.

Help please just this I will mark someone's answer the brainliest if they answer correctly. 3. A library

Solve the equation t=r+7k​w attempted this problem 4 times. all recorded score is 0%. unlimited attempts remaining

Answers

Answer:

Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.

If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.

To improve your chances of solving the equation successfully, consider the following steps:

Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.

Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.

Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.

Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.

Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.

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Answer:

Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.

If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.

To improve your chances of solving the equation successfully, consider the following steps:

Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.

Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.

Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.

Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.

Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.

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Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
7x²
3x-5
2x+6 x+3
OA.
OB.
O C.
O D.
O E.
21x³-35x2
2x² +12x+18
7x²
6x-10
7x³ +21x²
6x² +8x-30
6x-10
7x²
6x² +8x-30
7x³+21x²

Answers

The quotient of the rational expressions shown above is given by, Answer: option (C) 7x²/6x-10

To simplify the expression 7x² / 3x-5 / 2x+6 / x+3

We need to perform the following steps:

Invert the divisor.

Change the division to multiplication.

Factor the numerator and denominator.

First, divide the first term in the numerator (7\(x^2\)) by the first term in the denominator (2x) to get 3.

Then multiply (2x + 6) by 3 to get 6x + 18 Subtract this from the numerator.

2x + 6 | 7\(x^2\) + 3x - 5

- (6x + 18)

_______

-3x - 23

Then subtract the following term from the numerator: -3x.

Dividing -3x by 2x gives -3/2.

Multiply (2x + 6) by -3/2. The result is -3x - 9.

Subtract this from the previous result.

3 - (3/2)x

_________

2x + 6 | - 14

The result of polynomial long division is -14.

Therefore, the quotient of the rational expression is (7\(x^2\) + 3x - 5) / (2x + 6) -14.

So the correct answer is option D: -14.

Cancel out any common factors.

Multiply the remaining terms to get the answer.

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Help,ASAP........................

Help,ASAP........................

Answers

The answer would be Orange Juice. Because it has the lowest percentage, 19% out of all the other drink options.

Find the standard deviation if the mean of a sample is 72, a z-score of 3 Raw Score: 42 Raw Score: 81

Answers

Answer:

a) when x = Raw Score: 42

Standard deviation = σ = -10.3

b) Raw Score: 81

Standard deviation = σ = 2.67

Step-by-step explanation:

Find the standard deviation if the mean of a sample is 72, a z-score of 3

Z score formula is given :

z = (x-μ)/σ,

where

x is the raw score

μ is the population mean = 73

σ is the population standard deviation

z = 3

a) when x = Raw Score: 42

z = (x-μ)/σ

3 = 42 - 73/σ

Cross Multiply

3σ = 42 - 73

3σ = -31

σ = -31/3

σ = -10.3

b) Raw Score: 81

z = (x-μ)/σ

3 = 81 - 73/σ

Cross Multiply

3σ = 81 - 73

3σ = 8

σ = 8/3

σ = 2.67

3.once we moved from the 5-kingdom scheme to the 3-domain scheme, which two kingdom names were completely eliminated?

Answers

The three domains are the Archaea, the Bacteria, and the Eukary.

What is 5 kingdom scheme?R.H. Whittaker proposed the five kingdom division in 1969. Based on traits including cell structure, manner of nutrition, source of nutrition, and body organization, the five kingdoms were created. The Kingdoms Monera, Protista, Fungi, Plantae, and Animalia are all included in it. Depending on factors like cell structure, mode of nutrition, mode of reproduction, and body organization, living things are categorized into five different kingdoms: Protista, Fungi, Plantae, Animalia, and Monera.The conclusions have since become accepted, leading to replacement of the kingdom Monera with the two domains Bacteria and Archaea.

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 The x-component of a force on a 15-g golf ball by a golf club versus time is plotted in the attached figure.

 Find the x-component of the impulse, in newton-seconds, during the following interval: [0, 50 msec] 

 Find the x-component of the impulse, in newton-seconds, during the following interval: [50 msec, 100 msec] 

Find the change in the x-component of the momentum, in kilogram meters per second, during the following interval: [0,50 msec] 

 Find the change in the x-component of the momentum, in kilogram meters per second, during the following interval: [50 msec, 100 msec] 

Answers

Answer: LOOK below

Step-by-step explanation:

Thex-component of a force on a 15-g golf ball by a golf club versus time is plotted in the attached figure.Find

Andrew is showing his work in simplifying −4.5 4.2 5.6 − 7.3. identify any errors in his work or in his reasoning. write feedback to andrew explaining the mistake he made and how to correct his work. (5 points) step work reasoning −4.5 4.2 5.6 − 7.3 original problem 1 −4.5 4.2 5.6 (−7.3) additive inverse 2 −4.5 (−7.3) 4.2 5.6 commutative property 3 (−4.5 (−7.3)) (4.2 5.6) associative property 4 −11.8 9.8 simplify 5 −21.6 simplify

Answers

Andrew made a mistake in Step 4 of his work. He incorrectly applied the associative property. To correct his work, Andrew should use the distributive property instead. Here's the correct step-by-step explanation:

Step 1: Start with the original problem: -4.5 + 4.2 + 5.6 - 7.3

Step 2: Apply the additive inverse to -7.3: -4.5 + 4.2 + 5.6 + (-7.3)

Step 3: Rearrange the terms using the commutative property: (-4.5 + 4.2) + 5.6 + (-7.3)

Step 4:
Use the distributive property: -0.3 + 5.6 + (-7.3)

Step 5: Simplify the expression: -0.3 + 5.6 - 7.3 = -2

Andrew mistakenly used the associative property in Step 4 instead of the correct property, which is the distributive property. By correcting this mistake, the simplified expression is -2.

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