How many terms are in the binomial expansion of (3x + 5)9?.

Answers

Answer 1

Answer:

10 terms

Explanation:

For (ax + b)ⁿ, there will be (n + 1) terms;

Easy way to remember this is to think of the basic example (x + 1)¹, which has a binomial to the power 1, and 2 terms;

Similarly, the example of (x + 1)² has the binomial to the power 2 and 3 terms.


Related Questions

Determine the molar mass of freon-11 gas if a sample weighing.

Answers

The mass of freon-11 gas is m=0.597g m = 0.597 g .

The table below shows the number of protons, neutrons, and electrons in four ions.

Answers

The atom that has a charge of -1 is atom 3.

To get the net ionic charge, we will use the formula as shown:

Net ionic charge = Number of protons present in an ion + Number of electrons present in an ion.

For atom 1;

Net ionic charge =  9 - 9

Net ionic charge = 0

For atom 2;

Net ionic charge =  9 - 8

Net ionic charge = + 1

For atom 3;

Net ionic charge =  9 - 10

Net ionic charge = -1

For atom 4;

Net ionic charge =  9 - 9

Net ionic charge = 0

From the calculation above, the atom that has a charge of -1 is atom 3.

Complete question:

Given the table;

Atom                                (1)            (2)           (3)           (4)  

Number of protons          9              9            9             9              

Number of neutrons        8              9             9           10  

Number of electrons       9              8             10            9  

Based on the table, which atom has a charge of -1

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which interest group is an example of a single-issue interest group? everytown for gun safety national league of cities center for health & gender equity american civil liberties union (aclu)

Answers

Answer:

everytown for gun safety

Explanation:

got it right on edge 2021

It should be noted that the interest group is an example of a single-issue interest group is everytown for gun safety

According to the question, we are to discuss interest group and how it works and the example.

As a result of this we can discuss Interest group as special interest groups that are set up for various forms of advocacy  so they can influence public opinion.

Therefore, everytown for gun safety serves as example of a single-issue interest group.

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The big five personality dimensions include all of the following except.

Answers

optimism

Explanation:

optimism is not one of the Big five

The big five personality dimensions include neuroticism, extroversion, and conscientiousness but optimism is not included within the five personality dimensions.

What do you mean by Personality dimension?

The personality dimension may be characterized as the next step in the evolution of temperament and personality theory. It significantly constructs a framework for mutual understanding between people. The big five personality dimensions are as follows:

Extraversion/Introversion.Sensing/Intuition.Thinking/Feeling.Judging/Perceiving. Conscientiousness.

In various research, personality dimensions are classified traits into five broad dimensions: openness, conscientiousness, extraversion, agreeableness, and neuroticism.

Therefore, the big five personality dimensions include neuroticism, extroversion, and conscientiousness but optimism is not included within the five personality dimensions.

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Which is the best strategy when you find too much information.

Answers

Answer:

Ignore them, just like I have been ignoring your questions. Can't you answer any questions at all without posting them all on Brainly, or are you just too lazy to answer them?

Which two properties of equality could zoe use to finish solving for x? either the addition or subtraction property of equality either the multiplication or division property of equality either the addition or multiplication property of equality either the subtraction or division property of equality.

Answers

Zoe can solve the equation using (b)  either the multiplication or division property of equality

The equation is given as:

[tex]3x = -6[/tex]

Zoe can solve the equation as follows.

First, divide both sides of the equation by 3

This gives

[tex]\frac{3x}{3} = -\frac 63[/tex]

[tex]x = -2[/tex]

Also, the equation can be solved by multiplying both sides by 1/3.

This gives

[tex]3x \times \frac{1}{3} = -6 \times \frac{1}{3}[/tex]

[tex]x = -2[/tex]

Hence, Zoe can solve the equation using (b)  either the multiplication or division property of equality

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The perimeter of the figure below is 133.1 ft.
Find the length of the missing side.

Answers

Answer:

9.6

Explanation:

because if we did if we subtract the total number which is which we are giving 133.1 minus the total number is that the Debt term give us by him by the drawing it will give us 9.6 feet

9.6 ft because if you add all the sides then subtract by the actual perimeter then you get x= 9.6 ft

In model 1 a pathogen (virus, bacteria, foreign protein, parasite) has entered the bloodstream of an individual. Draw the symbol that represents the pathogen.

Answers

There are different kinds of pathogens. The representation of the symbol that stands for the pathogen are;

The helper T-cell is represented like a Circle with the Th wrote inside.  

 The surface protein on the Th cell is the symbol that looks like this ⊥           or T Th cells.

Pathogens are known to be microorganisms that do invade the bloodstream. It can be easily see among the white cells.

Helper T-cell is known to consist of T-Lymphocytes which monitors the regulation of the immune system. T-cells are regarded as the helper cells that monitors the initial response in front of the pathogen. They includes; TH1, TH2, and TH17.

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Using the periodic table of ions below to predict the charge of the following atoms.

Answers

The charge on GA, SR, As, Br, Se are 3+, 2+, 3+, -, 2- respectively.

Ga and Sr are metals

Br and Se are non metals

As is an amphoteric element

Sr has full electron shell and 2 electrons in the outermost shell making it

[tex] {sr}^{2 + } [/tex]

Ga has full electron shell and 3 electrons in the outermost shell making it

[tex] {ga}^{3 + } [/tex]

Br has 7 electrons in the outermost shell, so it needs one more electron to complete it's orbit making it

[tex] {br}^{ - } [/tex]

[tex] {br}^{ - } [/tex]Se has 6 electrons in the outermost shell, it needs two more electrons making it

[tex] {se}^{2 - } [/tex]

As can give 3 out of its 5 electrons as metals forming

[tex] {as}^{3 + } [/tex]

Therefore, the charge on GA, SR, As, Br, Se are 3+, 2+, 3+, -, 2- respectively.

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what is the ratio of the sun's gravitational force on you to the earth's gravitational force on you?

Answers

i believe it's 6:10000

When must a system of linear equations be solved algebraically.

Answers

Answer: The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.

Explanation:

When a cell needs to get rid of waste products and push them out of the cell.

Answers

Explanation:

Cells use both diffusion and osmosis to get rid of their wastes. Cells can bias the movement of waste molecules out of and away from themselves. One way is to temporarily convert the waste product into a different molecule that will not diffuse backwards.

The 232 people at a party decide to order pizza for a snack. If each pizza has 8 slices, how many pizzas should they order so that each person can have one slice?.

Answers

The number of pizzas should they order so that each person can have one slice is; 29 pizzas

We are given;

Number of people at the party; = 232 people

Number of slices in each ordered pizza = 8 slices

Now we want to find out the number of pizzas they should order so that each person can have one slice.

Thus,

Number of Pizzas to be ordered = 232/8

Number of pizzas to be ordered = 29 pizzas

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A student places a set of books with a force of 25 n on a lab table with a force of 150 n. What is the normal force pushing upward on the legs of the table?.

Answers

The normal force acting on the legs of the table is 175 N

The weight of the books is the force exerted by the books on the table, and it is given as:

[tex]W =25N[/tex]

The force exerted by the table is given as:

[tex]F = 150N[/tex]

The parameters above imply that:

The table and the books are stationary,The force exerted by both act in the same downward direction.

So, the normal force acting on the legs of the table is calculated as follows:

[tex]F_N =F +W[/tex]

Substitute known values

[tex]F_N = 150N + 25N[/tex]

[tex]F_N = 175N[/tex]

Hence, the normal force acting on the legs of the table is 175 N

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It is estimated that __________ percent of adults in the united states have a cell phone.

Answers

Cellphone consumption in the United States is such that the percentage of adults with a cell phone is 90%.

Cellphone ownership in the United StatesMore than 90% of its citizens owning a cell phone. More than 200 million adults owning a smartphone.

The United States therefore has one of the highest adult cellphone ownership rates in the world which is made easier by the packages offered by cellphone companies and networks.

In conclusion, 90% of American adults own a cell phone.

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Amo a mis hermanas. Los amo. Amo las. Las amo. La amo.

Answers

La oración Amo a mis hermanas es equivalente a Las amo.

En esta pregunta debemos determinar la forma abreviada equivalente a la oración dada (Amo a mis hermanas), puesto que el complemento directo está asociado a un sujeto femenino en tercera persona del plural, se debe emplear un artículo definido femenino en plural (Las)

Por tanto, la oración Amo a mis hermanas es equivalente a Las amo.

Para aprender más sobre oraciones en español, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/2163428

Answer:

Amo a mis hermanas.

Los amo.

Amo las.

Las amo.

La amo.

ANSWER IS LAS AMO

Explanation:

Which of the following goods would be included in the calculation of gross domestic product? select the two correct answers.

Answers

Answer:

We need a picture?? There is no picture.

Which phrase from the passage best helps the reader to identify the passage as a satire.

Answers

Answer:

can u please put a pic of the Passage so I can answer?

Desiree is running for office. She wants to order 200 shirts that cost $5 each to give away at rallies. She has $350 in her savings to put toward the cost of the shirts. How much more must she raise to pay for the cost of the shirts? $150 $650 $1,000 $1,350.

Answers

Answer:

B $650

Explanation:

200 x 5 = 1000

1000 - 350 = 650

Which food safety practice will help prevent biological hazards.

Answers

Answer:

Storing chemical away from food, removing pits and bones from food and washing hands before preparing food is a safety practice that will help prevent biological hazard

To prevent biological hazards hands should be washed, bones from food should be removed, and chemicals should be stored away from foods.

What is food safety practice?

Food safety practices are followed to prevent disease infections and hazards. The food should be prepared and stored in safe conditions so that the chances of contamination are reduced.

Hands should be properly washed to eliminate the infections through the bacteria and other organisms causing disease and illness. Proper hygienic and sanitized conditions should be maintained.

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Explain the relationship between energy and economic development. Brainly.

Answers

consumption has a high positive correlation with economic growth. Whether economic growth takes precedence over energy consumption or energy consumption boosts the economic growth have been examined in a number of studies yet empirical evidence is mixed and conflicting.

11111111111111111111!!!!!!!!!!!!!!!!!

Answers

Answer:

B. Own Interests

Explanation:

B. Our own interests because it just sounds like the only factor you could think of to choose your own career

A varies jointly as of the product of b and c. If a = 24 when b = 8 and c = 2, find b when a = 48 and c = 4.

Answers

Variation can be direct, inverse or joint.

The value of B when a = 48 and c = 4 is 8

The joint variation is represented as:

[tex]A \ \alpha\ BC[/tex]

Express the variation as equation

[tex]A = kBC[/tex]

Make k the subject of the formula

[tex]k= \frac{A}{BC}[/tex]

If a = 24 when b = 8 and c = 2, we have:

[tex]k = \frac{24}{8 \times 2}[/tex]

[tex]k = \frac{24}{16}[/tex]

[tex]k = 1.5[/tex]

So, [tex]A = kBC[/tex] becomes

[tex]A = 1.5BC[/tex]

Make B the subject

[tex]B = \frac{A}{1.5C}[/tex]

When a = 48 and c = 4, we have:

[tex]B = \frac{48}{1.5 \times 4}[/tex]

[tex]B = \frac{48}{6}[/tex]

Divide

[tex]B = 8[/tex]

Hence, the value of B is 8

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When using a spreadsheet to prepare the statement of cash flows, a decrease in accounts payable is entered in the analysis of changes columns with a debit in the statement of cash flows section and a credit in the balance sheet section.

Answers

Answer:

is this an answer itself or a question you need to have answered?

Explanation:

A child riding a bicycle at 15 m/s accelerates at 3. 0 m/s/s for 4. 0 s. What is the child's speed at the end of this 4. 0 s interval?.

Answers

Answer:

The final speed of bicycle would be 27 m/s².

Step-by-step explanation:

Given :

[tex]\small\red\bull[/tex] Initial velocity (u) = 15 m/s[tex]\small\red\bull[/tex] Acceleration (a) = 3.0 m/s²[tex]\small\red\bull[/tex] Time = 4 seconds

To Find :

[tex]\small\red\bull[/tex] Final velocity (v)

Using Formula :

[tex]\longrightarrow{\pmb{\sf{v = u + at}}}[/tex]

[tex]\small\blue\star[/tex] v = final velocity [tex]\small\blue\star[/tex] u = initial velocity [tex]\small\blue\star[/tex] a = acceleration [tex]\small\blue\star[/tex] t = time taken

Solution :

Substituting the values in the formula to find the final velocity :

[tex]\longrightarrow{\sf{v = u + at}}[/tex]

[tex]\longrightarrow{\sf{v = 15 + (3.0 \times 4)}}[/tex]

[tex]\longrightarrow{\sf{v = 15 + (3 \times 4)}}[/tex]

[tex]\longrightarrow{\sf{v = 15 +(12)}}[/tex]

[tex]\longrightarrow{\sf{v = 15 +12}}[/tex]

[tex]\longrightarrow{\sf{v = 27 \: {m/s}^{2}}}[/tex]

[tex]\star{\underline{\boxed{\red{\sf{v = 27 \: {m/s}^{2}}}}}}[/tex]

Hence, the final speed of bicycle would be 27 m/s².

[tex]\rule{300}{1.5}[/tex]

Alcohol affects the limbic portion of the brain by.

Answers

Answer: Impairments in emotional functioning that affect alcoholics may reflect abnormalities in other brain regions which also influence emotional processing, such as the limbic system and the frontal lobes.

Choose the best spanish equivalent to the phrase. It's snowing. Está nevando. Hace nieve. Nieve. Es nevando.

Answers

There are different kinds of phrase. The best Spanish equivalent to the phrase. It's snowing is called Está nevando.

A phrase is often describe as a group of two or more words that functions together but it does not become a clause.

Example ''Its snowing'' is a phrase. This phrase can never be a full sentence when it is on its own.

 

está means  itsnevando    means snowing

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Answer:

está nevando

Explanation:

which of the following correctly describes the main purpose of the narrative in this paragraph? developing character creating conflict creating setting resolving conflict

Answers

The main purpose of the narrative in the paragraph is;

Option A; Creating setting

In this given paragraph, the author is making use of vivid language and good imagination to carefully describe the setting of the room. This description of the setting of the room means that the reader will have  a very clear picture of what the room used as character will look like.

The definition of setting simply means the nature of the time and the place that a particular thing took place. This means setting could take the form of a bright room, a dark tunnel, a cold car e.t.c

In conclusion, what the main purpose of the narrative of the paragraph is to create a setting.

The paragraph is missing and it is found in the brainly link below.

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Answer:

Creating setting

Explanation:

Click on the box to indicate the correct order of procedures to deal with a heat related illness. First: second: third: fourth: fifth:.

Answers

Answer:

5.Fan the victims body

1.get the victims out of the heat

3remove the sweat-saturated clothing

4cover the victim with cool damp sheets

2-call EMS

Answer:

First:

Get the victim out of the heat.

Second:

Call EMS.

Third:

Remove sweat-saturated clothing.

Fourth:

Cover the victim's body with cool, damp sheets.

Fifth:

Fan the victim's body.

Which of the following is not useful for changing the font size?.

Answers

There are different ways to change front size. The option that is not useful for changing the font size is Orientation button

The term font size simply means the overall shape of a specific character. It is often measured in points.

Example is 12-pt font, 11 pts etc.

Orientation is simply known to be a term that is used to show the positioning or general layout of an item linked to other items and not to change front type.

Which of the following is not useful for changing the font size?

answer choices

a.   Font Size drop-down list

b.   Increase Font Size button

c.    Decrease Font Size button

d.   Orientation button

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