The number of seats in the first 12 rows of a high school auditorium form an arithmetic sequence the first row has 9 seats the second row has 11 seats.

a) write a recursive formula to represent the sequence
b) write an explicit formula to represent the sequence.
c) how many seats are in the 12th row.

plz help me ASAP it's a math question not chemistry

Answers

Answer 1
a) The recursive formula for the number of seats in the n th row will be; 
S1 = 9
S(n) = S (n-1) +2 

b) Explicit formula; is that of an arithmetic progression; such that if a is the first term , and d is the common difference , then the n th term will be given by the formula:  a + (n-1) d; where a is 9, and d is 2
Hence; for n th row = 9+ 2(n-1)

c) Number of seats in 12 th row using the formula in b.
 n = 12 , a = 9, d = 2
therefore; 9 + 2(12-1)
              = 9 + 2(11)
              = 31 seats 
Answer 2

There are 31 seats in the 12th row.

a) The first question is to obtain the recursive formula so we will have;

S1 = 9

S(n) = S (n-1) +2

b) To obtain the explicit formula of the arithmetic progression

Where;

a= first term

d =common difference

It then follows that the n th term is given by  a + (n-1) d

So;

a = 9, and

d= 2

For n th row = 9+ 2(n-1)

c)the number of seats in 12 th row can be obtained by;

9 + 2(12-1)

= 9 + 2(11)

= 31 seats

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Related Questions

Why are two changes of state of the refrigerant necessary to operate a refrigerator?

Answers

The liquid refrigerant must evaporate (change from a liquid to a gas) and cool. This process releases heat. The cool gas is pumped through tubes so that it can absorb heat from the interior of the refrigerator, keeping it away from the food. Then the gas must condense into a liquid so that it can release the absorbed heat to the outside and begin the cycle again.

The two changes of state of the refrigerant are necessary to operate a refrigerator because liquid refrigerant must evaporate and cool.

What is refrigerator?

A refrigerator is a heat engine in which work is done on a refrigerant substance in order to collect energy from a cold region and exhaust it in a higher temperature region, thereby further cooling the cold region.

What is liquid refrigerant?

The liquid refrigerant is used for heat transfer in a refrigeration system, which absorbs heat at a low temperature and low pressure and rejects heat at a higher temperature and a higher pressure.

Explain refrigeration cycle?This cycle is based on the process of changing the physical state of the liquid refrigerant (from liquid to gas and vice versa). These substances condense to liquid at high pressures and evaporate to gases) at low pressures.

The cold in cooling systems happens due to the change of state of this liquid refrigerant fluid to gas.

This process depends on the work done by the compressor – which uses mechanical energy to compress the liquid refrigerant from the evaporator in the gas phase.

With this compression, the pressure and temperature of the liquid refrigerant increases. When it enters the condenser, the refrigerant transfer the heat to the environment, causing its temperature to decrease and condensation occurs, which is the process of phase change from gas to liquid.

After that, the liquid refrigerant passes through the control element – capillary tube or expansion valve – which, by narrowing the passage, slows its speed on the evaporator, causing its pressure to decrease.  

The liquid refrigerant arrives on the liquid state and under low pressure to the evaporator, during which it is changing phase again, from liquid to gas. When you change phase, it absorbs the heat present in the conditioned items in the refrigerator case and returns to the compressor, restarting the refrigeration cycle.

The liquid refrigerant must evaporate (change from a liquid to a gas) and cool. This process releases heat. The cool gas is pumped through tubes so that it can absorb heat from the interior of the refrigerator, keeping it away from the food. Then the gas must condense into a liquid so that it can release the absorbed heat to the outside and begin the cycle again.

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The Doppler effect changes the

A) Frequency due to motion

B) Speed of sound due to motion

C) Speed of light due to motion

D) Radar waves in a police car

Answers

A) Frequency due to motion

As you are moving toward the object that is making the sound the frequency is higher.  When you begin to move away the frequency lowers.
The best answer that I would would be B

Which of the following best describes an advantage of cloning? Can prevent genetic diseases Can increase genetic diversity Helps increase lifespan of cloned organisms Helps reduce health issues in cloned organisms

Answers

Answer:

prevents genetic diseases

Explanation:

yes

An advantage of cloning is that it can potentially prevent genetic diseases in organisms. Cloning allows for the replication of an organism's genetic material without introducing new genetic variation, which means that if the original organism is free from certain genetic diseases, its clones would also be free from those diseases. This can be particularly valuable in agricultural and medical contexts.

For example, in agriculture, cloning can be used to replicate plants or animals that have desirable traits and are disease-free. This ensures a consistent supply of healthy, high-yield crops or livestock, reducing the risk of crop failure or disease outbreaks.

In the medical field, cloning can be used for therapeutic purposes to create tissues or organs for transplantation. By cloning cells from a patient's own body, the risk of immune rejection is minimized, reducing the chances of complications and improving the patient's overall health.

However, it's essential to note that while cloning has its advantages, ethical and moral considerations, as well as potential unintended consequences, must be carefully addressed when implementing cloning technologies.

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Which of the following best describes the conditions created by El Niño? When is that normally blowup to east get stronger waters off the coast of north America cool down and upwelling increases in proving the nutrients in the water. Wednesday normally blood to the west get stronger waters off the coast of South America cool down and upwelling increases improving the nutrients in water. When is the normally blowup to the west slacken waters off the coast of South America walk up and upwelling decreases reducing the nutrients in the water

Answers

the answer is c i had it on my test today

How is compound different from a mixture?

A. it is made of one substance

B. it cannot be made of organic materials

C. it cannot be broken down

D. it cannot be separated by a physical change

Answers

a compound is chemically bonded together atoms and a mixture is two substances combined, i think its D
  I think it should be D. it cannot be separated by a physical change

Nitrogen can ionically bond with an unknown element X from group 2. How many ions of element X are required to create a stable ionic compound with nitrogen? A) 2 B) 3 C) 4 D) There is not enough information.

Answers

To make a stable ionic compound you need 8 valence electrons and since nitrogen has 5 valence electrons he would need 4 more ions of Elements to make a full 8,

Answer is: B) 3.

Nitrogen (nonmetal) in this compound has oxidation number -3 and element X (metal) has oxidation number +2.

Smallest common multiple for 3 and 2 is 6.

number of nitrogen atoms = 6 ÷ 3.

number of nitrogen atoms = 2, there are two nitrogen atoms.

number of atom X: 6 ÷ 2 = 3.

For example, Mg₃N₂ is magnesium nitride. Nitrogen has -3 oxidation number and magnesium has oxidation number +2.

describe the difference in structure between beH2 and CaH2

Answers

Hello!

BeH₂ is a linear molecule, while CaH₂ is an angular molecule.

The difference between these two molecules is given by the number of electrons they have. Be is in the 2nd period of the Periodic table, and the ion Be⁺² doesn't have any free electron pairs when bonding to H. Ca is in the 4 period of the periodic table, meaning that it has more electrons, and the ion Ca⁺² has two free electron pairs when bonding to H that makes the molecule angular by pushing the bonds at an angle by sterical hindrance.  

Have a nice day!

In two or more complete sentences, describe two differences between electromagnetic waves and mechanical waves.

Answers

Electromagnetic waves can travel through space or a medium while mechanical waves need matter to transfer energy.

True or False: The atoms that make up the element oxygen are exactly the same as the atoms that make up the element hydrogen.



 
A.
True


 
B.
False

Answers

it is false
every element has its special atoms
and atoms are different from each other

The statement that  atoms that make up the element oxygen are exactly the same as the atoms that make up the element hydrogen is False.

This is because, all atom of different element are unique, and elements are all the different types of atoms.

What is an atom?

An atom  can be regarded as the smallest unit of ordinary matter which is required in making chemical element.

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the gram formula mass of a compound is 48 grams. the mass of 1.0 mole of this compound is

Answers

If the mass of the compound is 48 grams, that would mean 1 mole of that compound would also he 48 grams

Identify a situation in which you would want to have a high resistance and a situation in which youwould want to have a low resistance

Answers

Final answer:

In physics, high resistance is essential for safety in insulators, such as those for power lines, to prevent current leakage, while low resistance is desired in electrical wiring for devices to ensure minimal energy loss and efficient power transmission.

Explanation:

In the realm of physics, scenarios necessitate the use of different resistance levels based on the desired outcome. A situation in which you would want to have a high resistance is an insulator for power lines. These ceramic insulators have resistances of 1012 ohms or more to prevent electrical currents from leaking away from the power lines. On the other hand, a situation where you would want a low resistance is in electrical wiring that powers devices. For example, a large-diameter copper wire which may have a resistance of 10-5 ohms, allowing electricity to flow with minimal energy loss.

Additionally, resistors control current flow in circuits; a huge increase in resistance will reduce current, while a huge decrease in resistance increases current flow. Considering safety, a person working around possible electric hazards would want high resistance insulation to protect against electrical injuries; a resistor shown with a resistance of 20 × 105 ohms is an example of a protective measure.

If you purchase four 750 gram jars of table salt (NaCl) and dump them all onto 1,000 kg of snow, how much would the freezing point be lowered after all of the salt has dissolved?

Answers

Final answer:

When dissolving table salt in snow, the freezing point depression can be calculated based on the number of ions formed. By converting the mass of the salt to moles and considering ion dissociation, the freezing point depression can be determined.

Explanation:

The freezing point depression of a solution can be calculated by considering the number of ions formed upon dissolving the salt in water. In this case, if you dissolve four 750 gram jars of table salt (NaCl) on 1000 kg of snow, the total mass of salt would be 3000 grams. Converting this to moles and considering the dissociation of NaCl into Na+ and Cl-, you can calculate the freezing point depression using the formula provided.

How did Mendeleev arrange the known elements in his periodic table?

Answers

he arranged the elements according to atomic mass

Mendeleev was the first scientist to classify elements into what called the periodic table. However, unlike the modern periodic table that we use today, Mendeleev classified elements based on the mass number and not by atomic number.

What is periodic table ?

Periodic table classify all known elements into different groups and periods. The vertical columns in the table are called groups and the horizontal rows are called periods. All the elements are classified based on their atomic number in the modern periodic table.

At the time of Mendeleev there were only 65 to 70 known elements. He classified these elements based on their mass number. The periodicity of these elements and their classification into groups all were based on their mass number.

However, later Mosely found that, the properties of an atom is purely based on their atomic number and not by mass numbers. He forwarded the modern periodic table based on the atomic number of elements.

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what is sodium polycrylate

Answers

Sodium polycrylate is known as a chemical compound. It is used in many things such as detergents. And it comes in these element that are calcium, magnesium, iron, and zinc. It is also used for sequestering agent and a chelating agent. It is also great for hair gel and diapers, however it is also a very dangerous chemical if you inhale it or breath it in, it can cause lung problems, eye problems, and skin problems.

Based on the chart, how are fish and dogs related?

They belong to the same kingdom but different phyla.
They belong to the same phylum but different classes.
They belong to the same kingdom and class.
They belong to the same phylum and class.

Answers

Based on the chart. fish and dogs related in that they belong to the same phylum but different classes.

What is taxonomic classification?

Taxonomic classification is the science oif classifying living organisms based on similarity in structure, function of body parts and biochemical composition.

In taxonomic classification, organisms are classified into:

Kingdoms,Phylum,Class,Order,Family,Genus and Species.

Based on the chart. fish and dogs related in that they belong to the same phylum but different classes.

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Answer:

fish and dogs

Explanation:

i did the test

what causes the salinity of ocean water to decrease

Answers

The melting of icebergs causes the salinity of ocean water to decrease.

Answer:

The salinity of the sea decreases due to an increase in fresh water in the ocean from the melting of the polar ice caps.

Explanation:

Ocean water can become saltier or fresher depending on environmental factors.

 Melted ice, fresh water, will decrease the salinity of the oceans. That is, the process of oceanic desalination or decrease in salinity, known as freshening, is generated by the discharge of fresh water from the ice of glaciers into the salty water of the seas that surround it.

A person who is interested in the role of genetics in health might pursue a career in

A)endocrinology
B)gene therapy
C)neuroscience
D)sports medicine

Answers

B. Gene therapy... if they want to study the role of genetics, they would do Gene therapy. 

A globe is placed on your desk and you are asked to identify its physical properties. How would you describe the globe?

Answers

You could describe it's shape, color, varieties on sizes and shape of states, how it's rounded but with a top and bottom.

A globe is a spherical model that precisely represents the Earth's geography with a true-scale size and shape of continents and oceans, but it has limitations such as being less portable and not showing all sides simultaneously.

To describe the physical properties of a globe placed on a desk, one would note several characteristics. A globe is a spherical representation of the Earth, including details such as continents, countries, and geographical features like mountains and oceans. It is equipped with a geographic coordinate system and a scale which helps to maintain accurate distances and proportions between locations. Due to its shape, a globe provides a distortion-free representation of Earth's geography, preserving both the size and shape of landmasses and bodies of water. However, a globe has limitations as it is not as portable as flat maps, cannot be viewed entirely at once, and cannot be easily stored in compact spaces. Moreover, while globes provide a true-to-scale representation of the Earth, they cannot be easily enlarged to show detailed views of specific areas.

A series circuit contains two devices, one with a resistance of 10 ohms and one with a resistance of 4 ohms. If the generator supplies a voltage of 42 V, what is the magnitude of the current? P

Answers

The net effective resistance of 10-ohms and 4-ohms 
in series is 14 ohms.

The current in the series loop is  I = E/R = 42V/14-ohms = 3 amperes.




Answer : The magnitude of the current is, 3 ampere

Solution :

In a series circuit, the total resistance will be,

[tex]R=R_1+R_2[/tex]

[tex]R=10\Omega +4\Omega =14\Omega[/tex]

Using coulomb's law,

[tex]V=I\times R\\\\I=\frac{V}{R}[/tex]

where,

V = voltage = 42 V

I = electric current

R = resistance = 14 ohms

Now put all the given values in the above formula, we get

[tex]I=\frac{42V}{14\Omega}=3ampere[/tex]

Therefore, the magnitude of the current is, 3 ampere

Why is the deuterium-tritium reaction the most promising nuclear fusion reaction for future energy production?

Answers

The reactions produces an enormous amount of energy per unit mass compared to nuclear fission. Hope this helped

Answer:

The most promising of the nuclear fusions reactions for the future is the deuterium-tritium fusion, it comprises the deuterium cycle in which an amalgamation of tritium and deuterium takes place. The reaction produces an enormous energy of 17.6 MeV, however, to attain fusion there is a need to infiltrate the coulomb barrier with the help of tunneling, needing very high temperatures.  

what is one result of meiosis?

Answers

Daughter cells?
It might be called haploid daughter cells too.
haploid daughter cells

Hope I helped!

Let me know if you need anything else!

~ Zoe

How does the energy from the sun help the tree in the process of photosynthesis?

A.chlorophyll in the leaves capture the suns energy and uses it to make food from carbon dioxide from the atmosphere and water through the roots

B.the tree captures the energy from the sun, making its leaves and bark too hot for predators to eat

C.the tree absorbs most of the suns heat so that the animals may survive in an atmosphere where the temperature is much less

D.the tree does not rely on the suns energy in any way

Answers

The energy from the sun helps the tree in the process of photosynthesis?

The answer is A.chlorophyll in the leaves capture the suns energy and uses it to make food from carbon dioxide from the atmosphere and water through the roots

which three factors are most important in determining the composition of ocean water

Answers

First factor: Density of water
This density of water is affected by the level of salt present in it. They are inversely proportional. This means that as the amount of salt in water increases (water becomes more salty), the density of water would decrease

Second factor: Temperature
Temperature affects the composition of water because as temperature increases, the ocean water evaporates and the salt precipitates. Therefore, this factor is essential in determining the rate by which the ocean water evaporates

Third factor: Salinity
This factor helps in determining the amount of salt present in the ocean, i.e, concentration of salt in the water.

Hope this helps :)


The three main factors that help in determining the composition of ocean water are temperature, salinity, and density.  

The temperature helps in determining the rate of evaporation of the sea. Next factor is salinity, it helps in knowing the salty nature of the ocean, and helps in identifying the other essential factor of ocean water, that is, density. The density is one of the most essential factors, as ocean having more salt composition are less dense in comparison to those having less salt.  


What is the quantity of heat that is released when 27.9 g of H2O condenses? Use mc021-2.jpg. 60.00 kJ 61.05 kJ 63.09 kJ 68.60 kJ

Answers

hey there!:

Molar mass H2O =  18.02 g/mol

ΔH vap = 40.7 kj/mol 

energy  = (  mass )  /  ( molar mas H2O ) * ΔH vap 

energy = ( 27.9 / 18.02 ) * 40.7

energy = 1.54827 * 40.7 

energy = 63.09 Kj

Answer C

hope this helps!

Which of the following rate constants corresponds to the reaction that converts reactants to products in the least amount of time? A. 4.48 x 10-5 min-1 B. 4.48 x 10-5 s-1 C. 0.0547 s-1 D. 0.0547 min-1

Answers

Answer: option C. 0.0547 s^ -1

Explanation:

The rate constant is a numerical value that relates the rate of reaction with the concentrations of the reactants.

The rate constant is the constant of proportionality between the rate of the reaction and the concentrations of the reactants.

The greater the rate constant the greater the rate of reaction.

The units of the rate constant depend of the degree of the reaction.

For a first degree reaction the units may be s^-1 or min^-1, among others.

Compare A with B: 4.48 * 10 - 5 min^-1 is slower than 4.48  * 10 ^ -5 s^ -1 (it is faster to change a given amount in a second than in a minute).

For the same reason 0.0547 s^ -1 is faster than 0.0547 mni ^ -1.

Now compare 4.48 * 10^ - 5 s^ -1 with 0.0547 s ^ -1. The number 0.0547 is greater than 4.48 * 10^ - 5, so it is faster 0.0547 s^ - 1 than 4.48 * 10^ -5 s^ -1.

And that. 0.0547 s^ -1, is the fastest of all, i.e. the one that converts reactants to products in the least amount of fime.

does the author succed in persuading you to accept his argument?

Answers

Techniques and strategies for writing persuasive or argumentative essays. ... or values that color the facts or the issue; what you think of the author's argument. List out facts; consider ... does the conclusion restate the main ideas? reflect the succession and importance of the arguments; logically conclude their development?

Consider this reaction. What volume (in milliliters) of oxygen gas is required to react with 4.03 g of Mg at STP? 1860 mL 2880 mL 3710 mL 45,100 mL

Answers

Step 1: find number of moles of Mg(divide 4.03 by its molor mass)
step 2:find number of moles in O2
step 3: remember STP is 22.4 L = 1 mole
step 4: multiply 0.0829mol O₂ by 22.4L/mol to get 1.857L
answer is 1860 mL

Answer: 1860 mL

Explanation:

[tex]2Mg+O_2\rightarrow 2MgO[/tex]

According to Avogadro's law , 1 mole of every gas occupies 22.4 L at standard temperature and pressure and 1 mole of every substance weighs equal to its molar mass.

[tex]2moles=2\times 24.305=48.61g[/tex] of Magnesium reacts with 22.4 L of oxygen gas STP.

4.03g of  Magnesium reacts with=[tex]\frac{22.4L}{48.61g}\times 4.03g=1.86L=1860ml[/tex] of oxygen gas STP.

In a chemical reaction occurring in an open beaker, the reactants have a mass of 10.0 g and contain 1000 J of energy. The products in the beaker contain a mass of 5.0 g and 500 J of energy. Which best explains the difference in energy and mass as reactants are converted to products? kinetic energy closed systems law of conservation electromagnetic energy

Answers

Answer : The correct option is, Kinetic energy.

Explanation :

According to the kinetic energy, the kinetic energy is directly proportional to the mass of an object and the square of the velocity of an object.

The formula of kinetic energy is,

[tex]K.E=\frac{1}{2}\times m\times v^2[/tex]

where,

K.E = kinetic energy

m = mass of an object

v = velocity of an object

From this we conclude that there is a direct relationship between the kinetic energy and the mass of an object.

As per question, the reactant have a mass of 10 grams and contains energy 1000 J and the product have a mass of 5 grams and contains energy 500 J that means as the mass of an object decreases, the kinetic energy is also decreases.

Hence, the correct option is, Kinetic energy.

Answer:

C. law of conservation of energy

This is the correct answer on edge.

She is flying in windless conditions along the equator what is the area c called

Answers

The area where she is flying in windless conditions along the equator is called doldrums. Doldrums is a windless zone at the equator caused by warm rising air. The zone experience bands of showers and storms due to the hot air that rises and cools. 

Which property of an object changes when an unbalanced force acts on it?
A. Mass
B. Inertia
C. Velocity
D. Temperature

Answers

The answer is velocity; this is because if an object has a net force acting on it, it will accelerate. The object may speed up, slow down or change direction. An unbalanced force acting on an object changes its speed and/or direction of motion, therefore; the unbalanced force is an unopposed force that causes a change in motion. 

Answer:

velocity is the answer i just did this quiz

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