What is the empirical formula of a compound composed of 32.9g of potassium and 6.73 g of oxygen

Answers

Answer 1
The  empirical   formula   is  calculated  as   follows
   step 1 ;  calculate   the   moles  of   each  element

K =  32.9 g/39  g/mol  (molar  mass of   potassium)   =  0.84  moles
 
O =  6.73 g  /16  g/mol  (  molar   mass   of  oxygen)  =  0.42  moles

step 2 ;  calculate  the  mole  ratio     by  dividing  by  smallest  number  of  mole
K=  0.84 /0.42=2 
O=   0.42/0.42=  1

therefore  the  empirical    formula  =  K2O

Related Questions

A transverse and longitudinal wave combine to form __________. a sound wave a radio wave a surface wave an electromagentic wave

Answers

A transverse and longitudinal wave combine to form a Water Wave.
they combine to make a surface wave. hope this helps

Why is oxygen called a gas. Give two reasons.,

Answers

It does not have a volume or settled shape. Solids have a volume and settled shape. Liquids have a volume volume and their shape is based on their container. It can be compressed. Solids can not be compressed nor liquids.

Demonstrate your knowledge of waves.Describe the difference between mechanical and electromagnetic waves. Give an example of each kind of wave related to telecommunications. Answer using complete sentences and key vocabulary

PLEASE HELP

Answers

There are some methods that differentiate waves; one thing is by its medium. Electromagnetic waves did not require a medium for transmission such as in a vacuum while mechanical waves require a medium to travel such as air, water or anything that can serve as a transmission aid.  

The most common sample of EM waves in telecommunication is radio, light and infra-red signals. An example of a mechanical wave is a sound wave, which requires air to travel. Oscillating molecules made the sound waves. 

An unknown compound has the empirical formula CH2O and a molecular mass of 180 amu. What is the molecular formula of the compound

Answers

the empirical formula gives the simplest ratio of whole numbers of components in the compound. Molecular formula gives the actual composition of elements in the compound.
empirical formula - CH₂O
Mass of one empirical unit = 12 + (1x2) + 16 = 30 a.m.u
We have to next calculate how many empirical units make up the molecular formula. For that we have to divide molecular mass by mass of one empirical unit.
Number of empirical units = 180 a.m.u / 30 = 6
There are 6 empirical units 
Therefore molecular formula = 6 x(CH₂O) = C₆H₁₂O₆
Molecular formula = C₆H₁₂O₆

where is more than two thirds of earth's freshwater stored?

Answers

polar ice caps, snow packs, and glaciers

More than two-thirds of Earth's freshwater is stored in ice caps and glaciers, primarily in Antarctica and Greenland. These massive ice sheets contain an enormous amount of freshwater in the form of ice.

Ice Caps and Glaciers: These polar ice sheets hold the majority of the world's freshwater, accounting for roughly 68.7% of the total freshwater on the planet. Antarctica, the southernmost continent, has the largest ice sheet, followed by Greenland. These ice masses contain trillions of cubic meters of freshwater, which is locked up in the form of ice.

Groundwater: Approximately 30.1% of Earth's freshwater is stored underground in aquifers. These are layers of water-bearing rock and sediment beneath the Earth's surface. Groundwater is a vital source of freshwater for drinking, agriculture, and industry.

Surface Water: This includes all the freshwater on the Earth's surface, such as lakes, rivers, and reservoirs. Surface water accounts for about 0.3% of Earth's freshwater. While it represents a small percentage, it is crucial for various human activities and ecosystems.

Atmosphere: Water vapor in the atmosphere accounts for a tiny fraction of Earth's freshwater, approximately 0.001%. This water vapor plays a vital role in the Earth's climate and weather systems.

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what is the sum of protons and neutrons in an atomic nucleus?

Answers

The sum of protons and neutrons in an atomic nucleus would be the MASS NUMBER.
It is the Mass Number

What is missing from the temperature and volume graph shown at right?


Answers

Answer: The vertical axis should labelled as 'Volume (unit)' as it is missing from the given graph.

Explanation:

The labeling of vertical axis is missing from the given graph between the temperature and volume.

The vertical axis should labelled as 'Volume (unit)'  because it is given that the graph is in between the temperature and the volume.And temperature is on the horizontal axis is already labeled in the graph.

On top of the graph name of the graph should also be written as Temperature vs Volume graph.

From the unit we mean that the unit in which is used in measuring the volume and in the graph like: L ,mL etc.

What is a saturated solution? a solution with as much dissolved solute as it can hold at a given temperature. a heated solution with more dissolved solute than it can hold at a lower temperature. a solution that holds less dissolved solute than is possible at a given temperature. a solution that holds as much solvent as possible at all temperatures?

Answers

Answer:

A

Explanation:

Edge

A saturated solution is a solution a solution with as much dissolved solute as it can hold at a given temperature. Thus option a is correct.

What is saturation point?

Saturation is state of attaining maximum in any action. A solution is made of a solvent and solute. The solubility of the solute depends on its bond type, mass, temperature and pressure. The solute can be of non -soluble, partially soluble or completely soluble.

Solubility is the fraction of concentration of a solute that can be dissolved in a solvent. Some solutes can be dissolved easily by heating. However, the there is limit for the solvent to dissolve its maximum salt at a given temperature.

That limit is called its saturation point. Beyond that no more amount of solute can be dissolved even by heating. When the solvent reaches its saturation for a given temperature, diluting with more solvent can be results in better solubility.

Hence, the statement defining a saturated solution is option a.

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When protons and neutrons join together to make a nucleus, energy is?

Answers

the energy is positive

what is quartz made of

Answers

silicon and oxygen  that is what quartz are made of 
A little late but silicon and oxygen

Mandy is testing an unknown solution to determine whether it is an acid or a base. she places a piece of red litmus paper into the solution and the paper turns blue. mandy's unknown solution

Answers

The answer is Mandy’s solution is a Base/Alkaline solution. Alkaline solution turns red litmus blue while acidic solution turns blue litmus red. In acidic solution, the red litmus remains red while in alkaline solution, the blue litmus remains blue. However, litmus paper can never tell you the exact pH number of a solution




Answer: is a base.


Justification:


1) Litmus is a pH indicator.


2) Litmus paper may come in red or in blue. Here we have red litmus paper.

3) You can find in the literature that red litmus paper stays red in acidic or neutral solution, and turns blue in alkalyne solutions.


4) So, since the red litmus paper turned blue, the solution is alkalyne, this is a base

What is the maximum amount of kcl that can dissolve in 200 g of water? (the solubility of kcl is 34 g/100 g h?

Answers

the answer is 68 g
hope this helps!!

#1: In an icy glass of lemonade, which of the following is the solvent?

A. lemon juice

B. ice

C. sugar

D. water

**my answer: D. water

is that right? :/ @chmvijay :)

Answers

In a solution, there are two components that is solvent and solute. Solute is one that is dissolved and solvent is one in which is used for dissolving solute or it can be said that it is the which is used for dissolving. So in the icy glass of lemonade, there is a substance that is used for dissolving solute and it will be water as it is used for dissolving solute.

Does the biosphere have clear boundaries

Answers

No, the biosphere does not exhibit a clear boundary as life always comes to an end.  

The biosphere comprises all the living things of the world, like all the plants and animals. It is considered as the global ecosystem, that is, the gathering of all the planet's ecosystems. It comprises the land and the atmosphere. It is usually considered as the zone of life, where all the species of the planet thrives.  


A decrease in height of a column in a mercury barometer means that

Answers

Answer:

increase in the air pressure

Explanation:

The barometer is a device that is used for measuring the air pressure. It is a device that uses mercury in order to show the air pressure. The mercury reacts easily to the changes in the air pressure, so it is a nice indicator for it. The air pressure can simply be defined as the weight of the air masses, and the pressure they make it because of it on the objects. The lower the air pressure, the higher up the mercury will go, as it will experience less pressure from the air, and the higher the air pressure, the lower the mercury will drop, as it will experience more pressure from the air.

Which of these redox reactions is spontaneous as written?

A. Ni + Mg2+ → Ni2+ + Mg

B. Al + Fe3+ → Al3+ + Fe

C. Hg + Al3+ → Hg2+ + Al

D. Zn + K+ → Zn2+ + K,

Answers

According to Electro-chemical series the metal with more -ve potential will replace the metals below it in series in their salts and tend to oxidize.
A) not occurs since Mg more reactive than Ni (with -ve potential)
B) potential of Al is more -ve than iron so it can replace it in its salt and the reaction can occur spontaneously so B is the correct answer.
C) Mercury cannot replace Al 
D) Zinc cannot also replace  potassium

Redox reactions is spontaneous as written-  Zn + K+ → Zn2+ + K. Option D is correct.

To determine which of these redox reactions is spontaneous as written, we can look at the standard reduction potentials of the involved half-reactions. In electrochemistry, spontaneous redox reactions occur when the reduction potential of the oxidizing agent (left side) is more positive than that of the reducing agent (right side). In other words, the spontaneous reaction goes from a higher reduction potential to a lower one. Let's evaluate each reaction:

A. Ni + Mg^2+ → Ni^2+ + Mg

Reduction potential for Ni^2+ → Ni: -0.25 V

Reduction potential for Mg^2+ → Mg: -2.37 V

The reduction potential for the left side is more positive than that for the right side, so this reaction is spontaneous as written.

B. Al + Fe^3+ → Al^3+ + Fe

Reduction potential for Al^3+ → Al: -1.66 V

Reduction potential for Fe^3+ → Fe: -0.04 V

The reduction potential for the left side is more positive than that for the right side, so this reaction is also spontaneous as written.

C. Hg + Al^3+ → Hg^2+ + Al

Reduction potential for Al^3+ → Al: -1.66 V

Reduction potential for Hg^2+ → Hg: -0.85 V

The reduction potential for the left side is more positive than that for the right side, so this reaction is spontaneous as well.

D. Zn + K^+ → Zn^2+ + K

Reduction potential for K^+ → K: -2.92 V

Reduction potential for Zn^2+ → Zn: -0.76 V

In this case, the reduction potential for the left side is less positive than that for the right side, so this reaction is not spontaneous as written.

Option D

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I need help, the longer I look at this question the more I confuse myself!!!
Consider the unbalanced equation:
HC2H3O2 (aq) +Ba(OH)2 (aq) --> H2O (l) +Ba(C2H3O2)2 (aq)

balance the equation and determine how many moles of Ba(OH)2 are required to completely neutralize 0.461 mole of HC2H3O2.

Answers

The balanced equation is:
 2C2H4O2 + Ba(OH)2 --> 2H2O + Ba(C2H3O2)2
 The molar ratio between Ba(OH)2 and C2H4O2 is 1 to 2 (seen from the balanced equation). Thus, when we set the proportion --> 0.461:x = 2:1; x=0.2305mol of Ba(OH)2 is needed to neutralize 0.461 mole of HC2H3O2.

How does a volcano form?

Answers

A volcano is formed when magma (Lava) spews up from deep within the earth. After each eruption the Volcano gets bigger and bigger, so basically after periods of time the volcano will get larger. Lava will rise in cracks in the earth or weak spots in the earths crust. The pressure is relieved thus resulting in a volcanic eruptions it forms the new crust and then eventually builds up in that spot making a volcano. They also form in places called hot spots and various other places.

An aqueous solution contains 0.100 m naoh at 25.0 °c. the ph of the solution is ________.

Answers

Recall; pH + pOH = 14
In this case [OH-] =0.100 m
therefore;
pOH = -LOG[OH-]
         = - Log (0.100)
         = 1.00
 Therefore; the pOH is 1.00
And since, pH +pOH = 14
Then pH = 14-pOH
                = 14 -1
                 = 13
Thus the pH is 13.00 

An aqueous solution contains 0.100 m NaOH at 25.0 °C. the pH of the solution is 13.00

To determine the pH of a 0.100 M NaOH solution, we need to understand that NaOH is a strong base and dissociates completely in water. The concentration of hydroxide ions (OH-) in the solution will be equal to the concentration of NaOH, which is 0.100 M.

The pOH of the solution can be calculated using the formula:

[tex]\[ \text{pOH} = -\log[OH^-] \][/tex]

where [tex]\([OH^-]\)[/tex] is the concentration of hydroxide ions.

Given that [tex]\([OH^-] = 0.100\)[/tex] M, we can calculate the pOH as follows:

[tex]\[ \text{pOH} = -\log[0.100] \][/tex]

[tex]\[ \text{pOH} = -(-1) = 1 \][/tex]

At 25.0 °C, the pH and pOH of a solution are related by the equation:

[tex]\[ \text{pH} + \text{pOH} = 14.00 \][/tex]

Using the calculated pOH, we can find the pH:

[tex]\[ \text{pH} = 14.00 - \text{pOH} \][/tex]

[tex]\[ \text{pH} = 14.00 - 1 \][/tex]

[tex]\[ \text{pH} = 13.00 \][/tex]

What is the pressure exerted by 3.00 mol of ar gas with a volume of 50.0 l at 25.0ºc (298.2 k)?

Answers

U should use pv=nRT.. this is the gas equation

here are approximately 15 milliliters (mL) in 1 tablespoon (tbsp).

Which expression can be used to find the approximate number of milliliters in 3 tbsp?
1 tbsp x 15ml/3tbsp
1 tbsp x 3ml/15tbsp
3tbsp x 1 tbsp/15ml
3tbsp x 15ml/1tbsp

Answers

If there are 15 mL in 1 tablespoon, then 3 tablespoons should have triple the volume as originally stated.
   Note in all of the four choices, the units simplify to mL because tbsp x ml/tbsp = mL (tbsp/tbsp = 1)
   The second and third choice give ultimately the same, incorrect value. The fourth option gives an incorrect fraction - there are not 15 mL for every tablespoon. The correct answer is 1 tbsp x 15mL/3tbsp

Answer:

The correct option is 3tbsp x 15ml/1tbsp

Explanation:

According to the question, 15 milliliters (mL) is equivalent to 1 tablespoon (tbsp), how many milliliters will be equivalent to 3 tablespoons. Let use "X" as the unknown number of milliliters.

If 15 milliliters ⇒ 1 tablespoon

X milliliters ⇒ 3 tablespoons

cross multiply

15 mL × 3 tbsp ⇒ 1 tbsp × X mL

X mL = 15 mL × 3 tbsp/1 tbsp

Which of the following reactions is not an example of an oxidation-reduction reaction? ( 2 points) Select one: a. H2 + F2yields 2HF b. Fe + CuSO4yields FeSO4 + Cu c. CuSO4 + 2NaOH yields Cu(OH)2 + Na2SO4 d. Cl2 + ZnI2yields ZnCl2 + I2

Answers

Answer is: c. CuSO4 + 2NaOH yields Cu(OH)2 + Na2SO4.
Copper atom has oxidation number +2, sulfur atom oxidation number +6, oxygen has oxidation number-2, sodium has oxidation number +1 and hydrogen has +1 on both side of chemical reaction, so elements did not change their oxidation numbers.

Decide if the following statements regarding Intermolecular forces are True or False.


Cl2 will have a higher boiling point than Ar.

NH3 will have a lower vapor pressure at -50oC than NO.

LiF will have a higher vapor pressure at 25oC than H2S.

As the polarity of a covalent compound increases, the solubility of the compound in CCl4 decreases.

Cl2 will have a higher melting point than HBr.,

Answers

The correct options are the following:

False -Cl2 will have a higher boiling point than Ar.

True -NH3 will have a lower vapor pressure at -50oC than NO.

False -LiF will have a higher vapor pressure at 25oC than H2S.

True -As the polarity of a covalent compound increases, the solubility of the compound in CCl4 decreases.

True -Cl2 will have a higher melting point than HBr.

What are intermolecular forces?

Intermolecular forces are those forces which intermediate the interaction between different molecules.

If the intermolecular force between molecules is lower, then the vapor pressure will be lowered and higher the boiling point will be.

Thus, the options are:A -false, B -True, C -False, D -True, E -True.

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Final answer:

The boiling point of a substance is determined by the strength of its intermolecular forces. Cl2 will have a higher boiling point than Ar due to stronger dispersion forces. NH3 will have lower vapor pressure than NO due to stronger hydrogen bonds. LiF will have higher vapor pressure than H2S due to stronger electrostatic interactions. As the polarity of a covalent compound increases, its solubility in CCl4 decreases. Cl2 will have a higher melting point than HBr due to stronger London dispersion forces.

Explanation:

The boiling point of a substance is determined by the strength of the intermolecular forces between its particles. In general, substances with stronger intermolecular forces have higher boiling points. Therefore, we can determine the relative boiling points of the given substances based on their intermolecular forces:

Cl2 will have a higher boiling point than Ar. Cl2 is a nonpolar molecule that exhibits London dispersion forces, while Ar is also a nonpolar molecule but with larger and heavier atoms, resulting in stronger dispersion forces.NH3 will have a lower vapor pressure at -50oC than NO. NH3 is a polar molecule that can form hydrogen bonds, which are stronger than the dipole-dipole interactions in NO.LiF will have a higher vapor pressure at 25oC than H2S. LiF is an ionic compound with strong electrostatic interactions, while H2S is a covalent compound with weaker London dispersion forces.As the polarity of a covalent compound increases, the solubility of the compound in CCl4 decreases. Polar covalent compounds tend to dissolve better in polar solvents like CCl4, while nonpolar covalent compounds are less soluble.Cl2 will have a higher melting point than HBr. Both Cl2 and HBr are nonpolar molecules, but Cl2 has a larger molar mass than HBr, resulting in stronger London dispersion forces and thus a higher melting point.

Lightning is a very large flow of electrical energy. Describe the type of energy that creates the electrical energy.
A) The electrical energy comes from the thermal energy stored up in the water molecules.
B) The electrical energy comes from the gravitational potential energy of the water molecules.
C) The electrical energy comes from the chemical potential energy of the water molecules in the clouds.
D) The electrical energy comes from the attraction between charges in the cloud and the ground creating an electric potential.

Answers

d..........................................

During lightning, the electrical energy comes from the attraction between electrical charges in the cloud and the ground generating an electric potential. Therefore, option (D) is correct.

What is lightning?

Lightning can be described as a naturally occurring electrostatic discharge in which two electrically charged regions, both in the atmosphere and the ground, temporarily neutralize themselves, causing the instantaneous release of energy.

Lightning occurs when the negative charges of electrons in the bottom of the cloud are attracted to the positive charges of the protons in the ground.

This discharge creates a wide range of electromagnetic radiation, from the heat created by the rapid movement of electrons, to brilliant flashes of visible light.

Lightning causes a sound of the shock wave which produces gases in the vicinity of the discharge experiencing an instant increase in pressure. Lightning takes place during thunderstorms as well as other kinds of energetic weather systems.

Therefore, the electrical energy during lightning produces the attraction between electrical charges in the cloud.

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What is the name for this molecule? 3-heptyne 3-heptene 3-hexyne 3-hexene

Answers

The iupac name of the compound will be hex-3-yne or 3-hexyne. By marking number of carbon in the given compound, it was found that triple bond comes at third position and there are total 6 carbon in the compound. So it will have Hex as a prefix and as it contains triple bond so it will have yne as a suffix and as the triple bond is at third position, so it will be hex-3-yne or 3-hexyne.

The correct name for the molecule is 3-hexyne.

To determine the name of the molecule, we need to follow the rules of IUPAC nomenclature for alkynes. The molecule has a total of 6 carbon atoms in its longest carbon chain, which makes the base of the name hexyne.

The triple bond, indicated by the yne suffix, is located at the third carbon atom from the end, hence the number 3 in the name. The other options provided contain either an incorrect number of carbon atoms or an incorrect type of bond (alkene instead of alkyne). Therefore, the correct IUPAC name for this molecule is 3-hexyne.

The complete question is- What is the name for this molecule?

a. 3-heptyne

b. 3-heptene

c. 3-hexyne

d. 3-hexene

When one atom of sodium (Na) combines with one atom of fluorine (F), they form the compound sodium fluoride (NaF). Which of the following best describes the arrangement of valence electrons in a bond between Na and F?

1. The valence electrons are shared equally between Na and F.
2. The valence electrons spend more time around the atom of Na.
3. The valence electrons spend more time around the atom of F.
4. The valence electrons are given up by the Na and gained by the F.

Answers

The correct answer is:  
____________________________________________________________

4)  "The valence electrons are given up by the Na and gained by the F. "
____________________________________________________________

Answer:

4. The valence electrons are given up by the Na and gained by the F.

Explanation:

Sodium and fluorine bond ionically, they do not share electrons. Instead, ionic bonding involves the each atom of the metal, sodium, giving up its one electron in it's valence shell to each atom of the non-metal, fluorine.

Which of the following atomic numbers represent an element that is radioactive on the periodic table.

Answers

The atomic number that represents a radioactive element is N = 100.

Therefore, the correct answer is option 4: N = 100.

To determine which of the given atomic numbers represent a radioactive element, we need to look at the periodic table and identify elements with atomic numbers corresponding to known radioactive elements.

1. N = 11 corresponds to sodium (Na), which is not radioactive.

2. N = 56 corresponds to barium (Ba), which is not radioactive.

3. N = 81 corresponds to thallium (Tl), which has two radioactive isotopes, but it also has stable isotopes.

4. N = 100 corresponds to fermium (Fm), which is a synthetic element and is highly radioactive.

So, the atomic number that represents a radioactive element is N = 100.

Therefore, the correct answer is option 4: N = 100.

The probable question may be:

Which of the following atomic numbers represent an element that is radioactive on the periodic table.

1. N=11

2.N=56

3.N=81

4.N=100

In general, in which direction do convection cells in Earth's atmosphere move heat around the planet?
A. clockwise along the jet streams
B. from the equator toward the poles
C. from the surface to the upper atmosphere
D. from east to west, along with the westerlies,

Answers

A convection cell happens when density differences occur within a liquid or gas. The convection cells in Earth’s atmosphere are also called Hadley cells. The convection cells in Earth’s atmosphere move heat from the equator towards the poles. This helps balance the weather patterns.
The direction of the convection cells in Earth's atmosphere that moves heat arouund the planet is from the equator toward the poles. The answer is letter B. The movement from equator to the poles will warm the temperature.

Which of the following statements is true?

-Neon is inert because its outermost shell is complete.

-Nitrogen is inert because its outermost shell has eight electrons.

-Oxygen is more reactive than fluorine because oxygen needs only one electron to fill its outermost shell.

-Fluorine is more reactive than neon because fluorine has to lose only one electron to fill its outermost shell.

Answers

the correct answer is : Neon is inert because its outermost shell is complete.
Ne atomic number is 10 and has an electronic configuration of 1s² 2s² 2p⁶.The outer shell is complete therefore Ne is inert, in other words inactive as its very stable with a complete outer shell.

Nitrogen is not inert as its atomic number is 7 and electronic configuration is 1s² 2s² 2p³. therefore valence electrons are 5, it needs 3 more electrons to gain the complete outer shell configuration. Therefore this statement is incorrect.

F has 7 valence electrons and needs only one more electron to complete its outer shell whereas O has 6 valence electrons and needs 2 electrons to complete its outer shell. Since F only needs one electron and O needs two electrons, F is more reactive than O therefore third statement is incorrect 

F is more reactive than Ne as Ne is inert, however F needs to gain one electron and not lose, to fill its outermost shell therefore this statement too is incorrect

The true statement is that neon is inert because its outermost shell is complete. Neon's full outer shell of eight electrons makes it unreactive, unlike fluorine which seeks an additional electron to become stable and is therefore highly reactive.

The correct statement among those provided is that neon is inert because its outermost shell is complete. According to the octet rule, atoms are more stable energetically when they have eight electrons in their valence shell, which is the outermost electron shell, with the exception of helium which has a full shell with two electrons. Neon, with its electron configuration of 1s² 2s²2p6, has a full outer shell and does not tend to gain or lose electrons, making it unreactive or inert.

Contrarily, fluorine, which has seven electrons in its outer shell, is more reactive than neon because it seeks one additional electron to complete its octet. The statement that fluorine is more reactive than neon because fluorine has to gain, not lose, one electron to fill its outermost shell is true. It's important to note that neither nitrogen nor oxygen are considered inert, as their outer shells do not have the complete octet, and moreover, oxygen is not more reactive than fluorine; fluorine is, in fact, the most reactive of the halogens because it needs only one more electron to achieve a full outer shell.

What are 3 things you can do to increase the rate of dissolving?

Answers

Increase surface area
Increase temperature of solvent
Stir the solution

Bonus:
Increase pressure

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Other Questions
In 1996, Town M had a population of 30,500 people, and it has grown at a rate of 2% every year. In 1996, Town N had 32,500 people and the population has increased by a contrast rate of 600 people each year. In what year were the populations of the two towns approximately equal? What is satire?A. writing that uses humor to poke fun at human weaknessesB. writing that criticizes the conflicts between religious factionsC. writing that contradicts the actual and intended meanings of wordsD. writing that exposes corruption in the governing body of a nation Explain how the images in the poem "the tropics in new york" convey the author's impressions of his homeland. How did early mathematicians define trigonometric functions? Shortest distance from the base of parallelogram to its opposite side is the 100 POINTS PLEASE 1.Yared and Luke are wrapping presents. Yared is able to wrap presents at a constant rate of 3 presents every 15 min. Luke is able to wrap presents at a constant rate of 5 presents every 20 min. Each boy has 20 presents to wrap, and the boys started wrapping presents at the same time. (a)How many presents will Yared still need to finish wrapping when Luke has finished wrapping all 20 of his presents? Explain. (b)What percent of his presents will Yared still need to wrap when Luke has finished wrapping presents? Explain.2.A researcher collected data about the favorite car color of a particular population. He asked 250 people about their favorite vehicle color and the survey revealed the following: 32% of people said blue, 24% of people said white, 20% of people said red, 18% of people said black, and 4% of people said silver.(a)How many people said their favorite vehicle color was red? Explain.(b)How many more people said their favorite vehicle color was blue compared to those who said white? Explain.(c)How many people said their favorite vehicle color was either black or silver? Explain.3.Haruto was the starting pitcher for his baseball team. In his last two games, the coach kept a close eye on the number of pitches, balls, and strikes he threw. (a)In the first game recorded, the coach wrote 60%, or 54 pitches, were strikes. Find the total number of pitches Haruto threw in this game.(b)In the second game recorded, the coach recorded 40%, or 34 pitches, were balls. Find the number of strikes and the total number of pitches he threw in this game.Answer: How can training specifically for a sport help to prevent injury? here are approximately 15 milliliters (mL) in 1 tablespoon (tbsp). Which expression can be used to find the approximate number of milliliters in 3 tbsp?1 tbsp x 15ml/3tbsp1 tbsp x 3ml/15tbsp3tbsp x 1 tbsp/15ml3tbsp x 15ml/1tbsp Before approving a new drug, the u.s. food and drug administration requires that companies submit the results of rigorous scientific testing on the drug's effectiveness. these results are reviewed by physicians, statisticians, chemists, pharmacologists, and other scientists who use logic to determine whether or not a drug is safe. these researchers are using theclassical model of decision making. #1: In an icy glass of lemonade, which of the following is the solvent?A. lemon juiceB. iceC. sugarD. water**my answer: D. wateris that right? :/ @chmvijay :) A blueprint for a picnic table has a scale of 1:20. The table in the blueprint is 3 in. long. What is the length of the actual picnic table? A.) 5 feetB.) 720 feetC.) 5 inchesD.) 60 feet if ABC and GEF are congruent by the ASA criterion, which pair of angles must be congruent A window that is in the shape of a semicircle has a diameter of 28inches. find the area of the window. Round to the nearest tenth Calculate the integral s f ds, where s is the entire surface of the solid half ball x2 + y2 + z2 1, z 0, and f = (x + 3y5)i + ( y + 10xz)j + (z xy)k. (let s be oriented by the outward-pointing normal.) What is silverpoint and when was it first used What are its advantages and disadvantages? The. system shown is ____.consistentequivalentinconsistent In the united states, the proposed north american free trade agreement was generally supported by: In which stage(s) of non-rem sleep do brain waves become larger and punctuated with occasional sudden bursts of electrical activity?? Select all that apply.Nation-states are characterized by _____.-a multi-ethnic empire-common culture or language-a self-governing country-possessions around the world, Find the real square roots of .0064 and -.0081