expand write down the binomial expansion of (1+2x)^7in ascending power of x ,simplifying all the coefficient. use the expansion theory to calculate the value of (0.98)^7 correct to four decimal places.​

Answers

Answer 1

Answer:

0.86812566700000000000000

Answer 2

The binomial expansion of (1+2x)^7in ascending power of x is 0.868125.

What are binomial expansions?

The algebraic expression (x + y)n can be expanded according to the binomial theorem, which represents it as a sum of terms using separate exponents of the variables x and y.

Each word in a binomial expansion has a coefficient, which is a numerical value. A binomial is a two-term algebraic expression. Examples of binomials include a + b, x - y, and more.

When a binomial is raised to exponents 2 and 3, we can use a set of algebraic identities to determine the expansion. As an illustration, (a + b)2 = a2 + 2ab + b2.

By regrouping and combining like phrases, we can arrange our final response in ascending powers of x by placing the lowest power of x first and the highest power of x last.

Therefore, the binomial expansion of (1+2x)^7in ascending power of x is 0.868125.

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Related Questions

An inverse relationship can be represented by what?

Answers

Answer:

1/....

Explanation:

If we say acceleration 'a' is inversely proportional to mass 'm', then

a=1/m.

Calculate weight of anhydrous compound from remains upon dehydration of 2g copper sulphate pentahydrate

Answers

Answer:

1.28 g

Explanation:

Mass of anhydrous compound/molar mass of anhydrous compound = mass of hydrated compound/ molar mass of hydrated compound

Mass of anhydrous compound = ?

Mass of hydrated compound = 2g

Molar mass of anhydrous compound= 160 g/mol

Molar mass of hydrated compound = 250 g/mol

x/160 = 2/250

250x = 2 ×160

x= 2 × 160/250

x= 1.28 g

The formula for calclum chloride Is CaCl2. Which argument best describes the type of chemical bond that was formed between the calcium and chlorine atoms? An lonic bond because calcium is sharing its electrons with the chlorine. A covalent bond because calclum is transferring its electrons to the chlorine. A covalent bond because calcium is sharing its electrons with the chlorine. An lonic bond because calcium is transferring Its electrons to the chlorine.

Answers

Answer:

An lonic bond because calcium is transferring Its electrons to the chlorine.

Explanation:

Metals usually form compounds with non-metals through ionic bonding.

Metals are electropositive elements which form ions by the loss of electrons, whereas non-metals are electronegative elements which form ions by the gain of electrons.

Compounds are formed when two or more elements combine together. The formation of compounds involves formation of bonds which may be either ionic or covalent bonds.

The type of bonding that exists between the a metallic calcium atoms and non-metallic chlorine atoms in calcium chloride, CaCl₂, is ionic bonding. In the process of formation of the compound, calcium atoms which have a valency of 2 readily donates their two valence electrons to chlorine atoms to form calcium ions, Ca²+. Each chlorine atoms having a valency of 1 accepts an electron to form chloride ions Cl-. Two chlorine atoms accept the two electrons donated by a calcium ion. Due to strong electrostatic forces of attraction between the calcium ion and the two chloride ions, the ionic compound CaCl₂ is formed.

If the half life of iridium-182 is 15 years, how much of a 3 gram sample is left after 2 half-lives?
A) .57 grams
B) .70 grams
C) 2.25 grams
D) .75 grams

Answers

Answer:

D. 0.75 grams

Explanation:

The data given on the iridium 182 are;

The half life of the iridium 182, [tex]t_{(1/2)}[/tex] = 15 years

The mass of the sample of iridium, N₀ = 3 grams

The amount left, N(t) after two half lives is given as follows;

[tex]N(t) = N_0 \left (\dfrac{1}{2} \right )^{\dfrac{t}{t_{1/2}} }[/tex]

For two half lives, t = 2 × [tex]t_{(1/2)}[/tex]

∴ t = 2 × 15 = 30

[tex]\dfrac{t}{t_{(1/2)}} = \dfrac{30}{15} = 2[/tex]

[tex]\therefore N(t) = 3 \times\left (\dfrac{1}{2} \right )^2 = 0.75[/tex]

∴ The amount left, N(t) = 0.75 grams

How or why does lead affect bones and teeth?

Answers

Answer:

Lead can harm production of blood cells and the absorption of calcium needed for strong bones and teeth, muscle movements, and the work of nerves and blood vessels. High lead levels can cause brain and kidney damage.

thanks

Once lead enters the body, it is distributed to organs such as the brain, kidneys, liver and bones. The body stores lead in the teeth and bones where it accumulates over time. Lead stored in bone may be remobilized into the blood during pregnancy, thus exposing the fetus.

If 0.654 g of oxygen dissolves in 1.5 L of water at 1.65 atm, at what pressure (in atm) would you be able to dissolve 1.35 g in the same amount of water?

Answers

Explanation:

dylalove464

06/11/2020

Hello,

In this case, we first compute the moles of oxygen in 0.654 g and 1.35 g by using its molar mass (32 g/mol):

Then, by using the ideal gas equation at the both states, given the same both temperature and volume:

We compute the volume at the second moles:

Best regards.

Answer:

3.41

Explanation:

:)

sources of magnesium to plants​

Answers

Magnesium may be used as a plant fertilizer, in the form of Magnesium Sulphate.

A neutron collides with a nitrogen atom, resulting in a transmutation. Balance the equation.
on + '
NX+1H
Identify the unknown product by identifying the unknown letters.
Ais
Z is
X is

Answers

Answer:

The answer is ¹³₆C

Explanation:

searched it up

Which atom attracts electrons most strongly? br F Rb

Answers

Flourine because it has less energy levels hence strong nuclear force of attraction

Fluorine has the highest electronegativity in comparison to other elements therefore, the F atom attracts electrons most strongly.

What is electronegativity?

The electronegativity of an atom measures the tendency of an element to attract the bonded electrons pairs towards itself. The electronegativity of an atom is determined with respect to another bonded atom.

Electronegativity can be described as a chemical property of an atom or a functional group to attract electrons toward itself. The electronegativity of an atom depends on the atomic number and the distance of valence electrons from the charged nuclei.

When two different atoms are bonded through a bond. More electronegative will attract the electron density of the bond towards itself.

As we know, the electronegativity decreases as we move down the group in the periodic table. Fluorine is the most electronegative element in the periodic table therefore, Fluorine (F) will attract the electrons toward it most strongly.

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How would the balloons interaction with each other change if the balloons were moved further apart? Explain.

Answers

Explanation:

It is known that like charges repel each other and unlike charges attract each other.

As the balloons are facing each other with like charges so they will repel each other. Hence, they will move apart.

But when balloons were moved further apart then interaction between them will decrease and then there will be no force of repulsion or force of attraction.

What can a nation do to improve the exchange rate of its currency?

A.
try to improve its balance of trade
B.
try to decrease its trade surplus
C.
try to lower its gross domestic product (GDP)
D.
try to export less while importing more

Answers

Answer:

A

Explanation:

balance the trades and improving them

Answer:

A:try to improve it's balance of trade

Explanation:

Fossil fuels are considered to be:
a.
irreplaceable resources
c.
renewable resources
b.
nonrenewable resources
d.
hazardous wastes


Please select the best answer from the choices provided

A
B
C
D

Answers

A irreplaceable resources

what is the digiMelt Start Temp and the digiMelt Stop Temp for Formic Acid Acetic Acid Propionic Acid

Answers

Explanation:

Melting is defined as the physical process where a solid state of a substance converts into its liquid state. No change of chemical composition takes place, just the physical state of water is changing.

[tex]\text{Solid}\rightleftharpoons \text{Liquid}[/tex]

There are given carboxylic acids. The melting point of these acids increases to its second group member which is ethanoic acid due to prevalent hydrogen bonding. To break this bonding, a high amount of heat needs to be applied.

But as we move forward, the melting point decreases sharply as an increase in the number of carbon atoms decreases the hydrogen bonding.

Melting point of Formic Acid = [tex]8.3^oC[/tex]

Melting point of Acetic Acid = [tex]16.6^oC[/tex]

Melting point of Propionic Acid = [tex]-21^oC[/tex]

Which of these is true for natural selection but not artificial selection?

A.Humans choose specific organisms to reproduce.

B.Competition for resources determines reproductive success.

C.Unfavorable traits decrease in frequency in a population.

D.Genetic engineering introduces new traits into a population.

Answers

Answer:

B

Explanation:

Pure hydrogen (H₂) is a hazardous substance. Thus, safer and more cost effective techniques have been developed to store it as a solid for shipping purposes. One such method is the reaction below, which occurs at 200 °C.

Answers

Answer: hello your question has some missing details attached below is the missing details

answer : 25.5%  ( B )

Explanation:

Determine percentage yield

molar mass = 35 g/mol

mass of Li₃N(s) = 70 g

product  LiH(s) = 8.0 g ( actual yield )

theoretical yield ( LiH ) =  4 * 7.95  = 31.8 g

percentage yield = actual yield * 100 / theoretical yield

                            = 8 * 100/31.8

                            = 25.5%

Please help! I don't know how to do and want to understand

Answers

Do what i don’t see nothing

A certain atom has a mass of 16 and an atomic number of 7. What element is this ?

Answers

Answer:

Nitrogen

Explanation:

According to the Periodic Table, the atom with a mass is 16 but the Atomic number is 7 for Nitrogen. That means that Nitrogen is an isotope.

Why increasing the temperature of a gas would increase the volume of its container in gas law?

Answers

When the amount of gas in a container is increased, the volume increases. Lussac's law states that the pressure of a given amount of gas held at constant volume is directly proportional to the Kelvin temperature.

Explain why the buffering action of these chemical reactions is limited by the present day rate of change for atmospheric CO2 concentration

Answers

Answer:

Due to increase in carbondioxide gas.

Explanation:

The buffering action of these chemical reactions is limited by the present day rate of change for atmospheric carbondioxide concentration because the the rate of atmospheric carbondioxide rises as compared to ancient atmospheric carbondioxide gas. Due to increase of human activities, the concentration of carbondioxide gas increases in the atmosphere which limits the buffering action of these chemical reactions so we can say that carbondioxide gas is responsible for its limited action.

The reaction of hydrogen with nitrogen to produce ammonia is shown below. If there are 3 moles of nitrogen, how many moles of hydrogen are needed to react completely with the nitrogen?

Answers

Answer:

9

Explanation:

I took the same test :)

The stoichiometry is important in chemistry which helps us to use the balanced equation to calculate the amount of reactants and products. Here the moles of hydrogen needed is 9. The correct option is B.

What is stoichiometry?

The quantitative study of the reactants and products involved in a chemical reaction is known as the chemical stoichiometry. The stoichiometric coefficients can be fractions including the whole numbers.  It helps to establish the mole ratio.

The stoichiometric coefficient is basically the number which is present in front of the atoms, molecules or ions. The stoichiometric calculations are also used in gravimetry and volumetry.

Here the balanced equation for the reaction is:

N₂ + 3H₂ → 2NH₃

Number of moles of H₂ = 3 mol N₂× 3 mol H₂  / 1 mol N₂ = 9 mol H₂

So the number of moles of H₂ is 9.

Thus the correct option is B.

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The radius of the large cylinder of a hydrolic press
20cm and that of the small cylinderis 5 cm. If a force of 100N is applied on the small piston Calculate the force on the large piston. if the piston of the small cylinder move through a distance of 0.4m through what distance can the large piston be raised


Answers

Answer: 1) 400N

2)1.6

Explanation:

1) 5cm = 100N of force

so

20cm=400n

2) 0.4 X 4 = 1.6

2. Which element below would be the best choice when creating a covalent molecule with an
Oxygen atom?
A. Na
B. Mg
C. Ne
D. O

Answers

nothing can be mixed with oxygen Best option would be D.!

Question: (02.01 MC) Which state of matter does this image represent?
O Solid
O Liquid
O Gas
O Plasma​

Answers

1. A liquid

explain: water is a liquid

A student is provided with a sample of iron pyrite and a sample of gold. Suggest how the student could distinguish between the two substances

Answers

Answer:

Gold and pyrite both have a brilliant metallic luster, but are different tones of yellow. Gold is golden to silvery yellow, whereas pyrite is a pale to medium brassy yellow that sometimes tarnishes.

Explanation:

Suppose that you want to make 12 g of lithium oxide.

What are the minimum masses of lithium and oxygen you will need?

A. Li= 5.6 g O2= 6.4 g
B. Li 6.5 g O2= 4.6 g
C. Li= 0.6 g O2 46.4 g
D. Li= 15.6 g O2 6.4 g

Answers

Answer:

A. Li= 5.6 g O2= 6.4 g

Explanation:

Lithium oxide, Li2O, is an oxide that contains 2 moles of Li and 1 mole of O per mole of oxide. To solve this question we must find the mass of each atom in the molecule as follows:

2Li = 2*6.941g/mol = 13.882g/mol

O = 1*16g/mol = 16g/mol

Molar mass Li2O:

16+13.882 = 29.882g/mol

The mass of lithium is:

12g * (13.882g/mol / 29.882g/mol) = 5.6g Li

And the mass of oxygen:

12g * (16g/mol / 29.882g/mol) = 6.4g O

Right answer is:

A. Li= 5.6 g O2= 6.4 g

How many moles are in 2.11 x 1014 molecules of LiBr?

Answers

Answer: There are [tex]12.71 \times 10^{-9}[/tex] moles present in [tex]2.11 \times 10^{14}[/tex] molecules of LiBr.

Explanation:

According to the mole concept, there are [tex]6.022 \times 10^{23}[/tex] molecules present in 1 mole of a substance.

Hence, moles in [tex]2.11 \times 10^{14}[/tex] molecules of LiBr are calculated as follows.

[tex]Moles = \frac{2.11 \times 10^{14}}{6.022 \times 10^{23}}\\= 12.71 \times 10^{-9}[/tex]

Thus, we can conclude that there are [tex]12.71 \times 10^{-9}[/tex] moles present in [tex]2.11 \times 10^{14}[/tex] molecules of LiBr.

How many milliliters of 5.0 M NaOH are needed to exactly neutralize 40. milliliters of 2.0 M HCl?

Answers

Answer:

16mL

Explanation:

Using the following formula;

CaVa = CbVb

Where;

Where

Ca = concentration/molarity of acid (M)

Va = volume of acid (mL)

Cb = concentration/molarity of base (M)

Vb = volume of base (mL)

According to the information provided in this question;

Ca (HCl) = 2M

Cb (NaOH) = 5M

Va (HCl) = 40mL

Vb (NaOH) = ?

Using CaVa = CbVb

Vb = CaVa/Cb

Vb = 2 × 40/5

Vb = 80/5

Vb = 16mL

Which has more molecules in it 10g H, 0 or 10g NaCl*
A)010g of H0
B)10g of NaCl
C)They have the same number of molecules
D)Cannot be determined

Answers

10 grams of hydrogen

Answer:

10 grams of hydrogen

Explanation:

Please answer. Brainliest!

Answers

Answer:

The equation is balanced.

Explanation:

The number of P atoms in the reactant side is 4 and the number of P atoms in the product side is also 4.

The number of O atoms in the reactant side is 16 and the number of O atoms in the product side is also 16.

The number of H atoms in the reactant side is 12 and the number of H atoms in the product side is also 12.

These results are in accordance with the law of conservation of mass.

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Which of these takes place when a chemical change occurs? option 1: Bonds connecting atoms in products and reactants form. option 2: Bonds connecting atoms in products and reactants break. option 3: Bonds connecting atoms in reactants break, and bonds connecting atoms in products form. option 4: Bonds connecting atoms in reactants form, and bonds connecting atoms in products break.

Answers

Answer: Out of the given options bonds connecting atoms in reactants break, and bonds connecting atoms in products form are the changes which takes place when a chemical change occurs.

Explanation:

A change that leads to the change in chemical composition of a substance is called a chemical change.

For example, [tex]2NH_{3} \rightarrow N_{2} + 3H_{2}[/tex]

Here, bond between the reactant atoms nitrogen and hydrogen is broken down.

On the other hand, bond connecting the products that is [tex]N_{2}[/tex] and [tex]H_{2}[/tex] is formed.

Thus,, we can conclude that out of the given options bonds connecting atoms in reactants break, and bonds connecting atoms in products form are the changes which takes place when a chemical change occurs.

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