Factor out the greatest common factor from the following polynomial.
10b³ +5b² +4
I
OA. 10b³ +5b²+4=
3
(Factor completely.)
OB. The polynomial has no common factor other than 1.

Answer:

Dress shirt: 19.3333333

hat: 14.3333333

belt: 15.3333334

Step-by-step explanation:

49÷3= 16.3333333

16.3333333+3= 19.3333333 dress shirt.

19.3333333-5= 14.3333333 hat.

19.3333333+14.3333333= 33.6666666

49-33.6666666= 15.3333334 belt.

Answer:

1.5x + 2

Step-by-step explanation:

(3x + 4)/2 = 1.5x + 2

Answer:

(50/12) + (2x) = L

Step-by-step explanation:

Let's assume the length of the wall is represented by "L" feet. Since we're given that the distance between the pictures and the distances from each picture to the end of the wall are the same, we can represent that distance as "x" feet.

To form the equation, we can consider the total length of the wall and the space occupied by the two pictures and the gaps between them.

The total length of the wall is "L" feet, and each picture is 25 inches across, which is equivalent to (25/12) feet. So, the combined width of the two pictures is (2 * 25/12) feet.

We have two gaps, one between the first picture and the end of the wall, and another between the second picture and the other end of the wall. Each gap has a length of "x" feet.

To set up the equation, we can add up the widths of the pictures and the gaps, and it should equal the total length of the wall:

(2 * 25/12) + (2 * x) = L

Step-by-step explanation:

The answer is (50/12)+(2x)=L

The headquarters is approximately 77.64 feet away from the point on the ground directly below the balloon.

To find the distance from the ranger headquarters to a point on the ground directly below the balloon, we can use trigonometry and the concept of angle of depression.

Let's assume that the distance we want to find is represented by the variable "d".

The given information tells us that the balloon is 1116 feet high and the angle of depression to the ranger headquarters is 83.44 degrees.

In this scenario, the angle of depression is the angle formed between the horizontal line connecting the ranger headquarters and the point on the ground directly below the balloon, and the line of sight from the balloon to the ranger headquarters.

The angle of depression is complementary to the angle of elevation, which is the angle formed between the horizontal line and the line of sight from the observer to the object.

To find the distance "d", we can use the tangent function, which relates the angle of depression to the opposite side (height of the balloon) and the adjacent side (distance "d").

The tangent of the angle of depression is equal to the ratio of the opposite side to the adjacent side:

tan(83.44°) = 1116 / d.

Now, we can solve for "d" by isolating it on one side of the equation:

d = 1116 / tan(83.44°)

Using a scientific calculator, we can calculate the tangent of 83.44 degrees:

tan(83.44°) ≈ 14.364

Substituting this value into the equation, we get:

d = 1116 / 14.364

Simplifying the expression, we find:

d ≈ 77.64

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Answer: 1) You forgot to change the sign over there. You have to subtract over there.

2) Just be careful while solving equations while changing the signs

Answer:

x=   \(\frac{9}{2} y\) or  y=  \(\frac{2}{9} x\)

Step-by-step explanation:

Solving for (x)

Step 1: Add -3y to both sides.

2x+3y+−3y=12y+−3y

2x=9y

Step 2: Divide both sides by 2.

\(\frac{2x}{2} = \frac{9y}{2}\)

Solving for (y)

Step 1: Add -12y to both sides.

2x+3y+−12y=12y+−12y

2x−9y=0

Step 2: Add -2x to both sides.

2x−9y+−2x=0+−2x

−9y=−2x

Step 3: Divide both sides by -9.

\(\frac{-9y}{9} = \frac{-2x}{9}\)

Answer:

D

Step-by-step explanation:

as you can see its decreasing

Answer:

(3,−4),(7,−2),(0,−1),(−3,4),(−7,11)

How to find?

Inverse the \(x x\) and \(yy\) in each of the points location.

Want some pictures?

Look below, there will be a screenshot of a graph I made.

Thanks!

Answered by: FieryAnswererGT

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the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The segment AB is a radius and the notation is ↔ AB

From the question, we have the following parameters that can be used in our computation:

The circle

On the circle, we can see that

The segment AB goes from the center of the circle to a point on the circle

A line that goes from the center of the circle to a point on the circle is the radius of the circle

This means that the segment AB is a radius and the notation is ↔ AB

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Answer:

Step-by-step explanation:

Incomplete presentation of question.  Did you want to factor out the greatest common factor (which is 2), obtaining 2(4y - 3)?  Or something else?  Also:  please note that if you use the left parenthesis ) , you MUST also use the right parenthesis ( .

To address the ambiguity in communication, we can employ a method that involves reviewing various potential statements (both general and specific) that could be made.

Start by acknowledging the need to tackle ambiguity in communication.

Implement a method that involves a thorough review of possible statements that can be made. This review should encompass both general statements and specific statements.

General statements refer to broader and more abstract statements that could be potentially used in communication.

Specific statements, on the other hand, pertain to more precise and detailed statements that can be employed in communication.

The purpose of reviewing these possible statements is to anticipate different interpretations or misinterpretations that may arise due to ambiguous language.

By considering a range of potential statements, we can assess the clarity, precision, and potential for misunderstandings associated with each statement.

The goal is to select the most appropriate statement that effectively conveys the intended message while minimizing ambiguity.

It is important to note that the method outlined here is a proactive approach to addressing ambiguity in communication. By carefully considering and reviewing potential statements, we can enhance clarity and ensure effective communication.

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The curve with polar equation r = 10sin(θ)cos(θ) can be expressed in Cartesian coordinates as \(x^2 + y^2 - 10xy = 0\)

To derive the Cartesian equation, we can use the identities x = r cos(θ) and y = r sin(θ) to substitute for r in the polar equation:

\(x^2 + y^2 = (10sin(\theta)cos(\theta))^{2}\)

Simplifying, we get:

\(x^2 + y^2 = 25x^{2}y^{2}\)

Rearranging, we obtain the final Cartesian equation:

\(x^2 + y^2 - 10xy = 0\)

This equation represents a special type of conic section known as a hyperbola. It has two branches that are symmetric about the line y = x/2. To visualize the curve, we can plot several points using the polar equation and convert them to Cartesian coordinates.

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Answer:

7 lbs

Step-by-step explanation:

Answer:

You can buy about 7 pounds of apples.

Step-by-step explanation:

Since we're dealing with cents, we'll change 88 to 0.88 so we can solve.

I personally did 0.88p = 6, where p = pounds, and then I divided 0.88 on both sides.

Of course you could just divide normally,

6 ÷ 0.88, either way it equals 6.81 repeating.

When you round that up, it will equal to 7.

Hope this helps :)

Answer:

-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2

Step-by-step explanation:

-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2-11x-7=-3x^2

Answer: 10%

Step-by-step explanation: R20 = 100

Therefore R1 = 100%÷ R20 = 5%. The difference between R22 and R20 is R2, therefore the increase in % is R2×5%=10%.

Answer:

+10%

Step-by-step explanation:

i got it right on edge

======================================================

Explanation:

AC = 13 and BC = 8

Those two facts must mean AB = AC-BC = 13 - 8 = 5.

Similarly, CD = BD - BC = 12 - 8 = 4

So,

AD = AB + BC + CD

AD = 5 + 8 + 4

AD = 17

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

Another way to approach this problem would be to say

AD = AC + BD - BC

AD = 13 + 12 - 8

AD = 17

This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.

Answer:

Segment AD is 17.

Step-by-step explanation:

We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.

To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).

To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)

Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)

The length of Segment AD is 17.

Curtis would pay an implicit tax of $2,700 on the city of Athens bond.

How to find implicit tax?

The implicit tax paid by Curtis on the city of Athens bond is the difference between the after-tax return on the city of Athens bond and the after-tax return on the Initech bond.

First, let's calculate the after-tax return on the city of Athens bond. The interest earned on the bond is:

$250,000 x 0.045 = $11,250

The amount of tax paid on the interest earned is:

$11,250 x 0.28 = $3,150

Therefore, the after-tax return on the city of Athens bond is:

$11,250 - $3,150 = $8,100

Now, let's calculate the after-tax return on the Initech bond. The interest earned on the bond is:

$250,000 x 0.06 = $15,000

The amount of tax paid on the interest earned is:

$15,000 x 0.28 = $4,200

Therefore, the after-tax return on the Initech bond is:

$15,000 - $4,200 = $10,800

The implicit tax paid by Curtis on the city of Athens bond is the difference between the after-tax return on the city of Athens bond and the after-tax return on the Initech bond:

$10,800 - $8,100 = $2,700

Therefore, Curtis would pay an implicit tax of $2,700 on the city of Athens bond.

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Answer:

C=70b

Step-by-step explanation:

multiply each number in b by 70  to get the correct answer of c

Answer:

157.5

Step-by-step explanation:

Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

Answer:

To find the missing side we need to calculate the sum of the two given sides and then subtract that from the perimeter.

7a - 11b - (2a + b + a - 9b)

= 7a - 11b - (3a - 8b)

= 7a - 3a - 11b + 8b

= 4a - 3b

Find the corresponding values of f(x) for every value of x in the table, as shown below

Similarly, in the case of g(x),

(b) Notice that,

1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.

2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.

3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.

4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.

5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.

6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.

7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.

1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.

This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.

To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.

However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.

This led to the development of the modern pickup truck, which is now a staple of the American automobile market.

2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.

Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.

3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.

However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.

4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.

In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.

However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.

5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.

6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.

However, they may be necessary for individual companies to remain competitive in the short term.

Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.

7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.

While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.

In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.

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Answer:

D. Zero product property of multiplication

Step-by-step explanation:

The property of real numbers that Felipe used for step 2 is Zero product property of multiplication.

The zero product property of multiplication states that if any two factors of an algebraic expression is multiplied together and equated to zero, at least one of the expressions is equal to zero.

In the above question, factorising the algebraic expression above, we have two factors:

(x+2) and (x+4),

(x+2) (x+4) = 0

Hence,

x+2 =0 or X+4=

Therefore, Option D is correct.

Answer:

The answer is D

Step-by-step explanation:

To be a function, you cannot have the same x values.

Answer:

10

Step-by-step explanation:

It's asking for g(12).

We would use the second equation because the inequality shows less than OR equal to 12

Plugging in 12 for t you get

\( \frac{5(12)}{6} = \frac{60}{6} = 10\)