Determine the vapor pressure of a solution at 25°C that contains 76.6 g of glucose (C6H12O6) in 250.0 ml of water. The vapor pressure of pure water at 25°C is 23.8 torr.
a. 23.8 torr
b. 34.2 torr
c. 43.6 torr
d. 56.4 torr

Answers

Answer 1

The main answer is that the vapor pressure of a solution at 25°C that contains 76.6 g of glucose (C6H12O6) in 250.0 ml of water is 23.8 torr.

The explanation is as follows:It is given that;Mass of glucose (C6H12O6) = 76.6 gVolume of water = 250.0 mL = 0.25 LDegree of freedom = 1The vapor pressure of pure water at 25°C is 23.8 torr.First, calculate the mole fraction of glucose (C6H12O6) in water:Mole fraction of glucose (C6H12O6) in water = No. of moles of glucose (C6H12O6) / Total moles in solutionNo. of moles of glucose (C6H12O6) = Given mass / Molar mass = 76.6 / 180 = 0.426 molTotal moles in solution = Moles of glucose (C6H12O6) + Moles of waterMoles of water = Density / Molar mass = 1000 / 18 = 55.56 molTotal moles in solution = 0.426 + 55.56 = 55.99 mol

Mole fraction of glucose (C6H12O6) in water = 0.426 / 55.99 = 0.0076Calculate the vapor pressure of solution using the formula;P solution = X solvent × P° solvent where,X solvent = Mole fraction of solvent = 1 - Mole fraction of glucose = 1 - 0.0076 = 0.9924P° solvent = Vapor pressure of pure solvent = 23.8 torrPutting values in above formula;P solution = 0.9924 × 23.8P solution = 23.62 ≈ 23.8 torrTherefore, the vapor pressure of a solution at 25°C that contains 76.6 g of glucose (C6H12O6) in 250.0 ml of water is 23.8 torr.

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Related Questions

define colloids with examples.​

Answers

Answer:

consisting of microscopically dispersed insoluble particles is suspended throughout another substance. However, some definitions specify that the particles must be dispersed in a liquid, and others extend the definition to include substances like aerosols and gels.

Consider the following equilibrium:
4nh3(g) + 3o2(g) right arrow 2n2(g) + 6h2o(g) 1531 kj
the concentrations of the reactants would decrease after ammonia was added to the system.
a. true
b. false

Answers

Consider the following equilibrium:

4NH₃ (g) + 3O₂ (g) ⇄ 2N₂ (g) + 6H₂O (g) + 1531 kJ

The given statement is True, because

According to Le Ch's Principle:

Systems that have attained the state of chemical equilibrium will tend to maintain their equilibrium state.

External factors such as the addition of products and reactants result in the disruption of the equilibrium state.

we expect the system to shift to the direction that offsets the change in concentration.

This results in the state of chemical equilibrium to be reestablished.

Hence, The statement is true,

The addition of more ammonia (a reactant) would offset the state of equilibrium.To restore chemical equilibrium, the system must consume the excess reactants to form more products.A shift to favor the products side occurs.

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How many protons does one oxygen atom contain

Answers

Answer:

8

Explanation:

Its official chemical symbol is O, and its atomic number is 8, which means that an oxygen atom has eight protons in its nucleus

The answer is 8 to you question

find the magnitude of the magnetic field in mt at a point still d = 5 cm from the wire and centered on it laterally.

Answers

The magnitude of the magnetic field in mt at a point still d = 5 cm from the wire and centered on it laterally is 6.9 x 10^-5 T.

Magnetic field refers to the area around a magnetized object or a moving electric charge that exhibits a magnetic effect. Magnitude is a term that describes the size or amount of something, such as a force or energy, and is often expressed in numerical terms. To determine the magnitude of a magnetic field at a point 5 cm from the wire and centered on it laterally, one must take into account the wire's current of 5 A.

We can use the equation :B = (μ0I)/(2πr)

to calculate the magnitude of the magnetic field at a point lying on the z-axis that is still 5 cm from the wire and centered on it laterally where B is the magnetic field, I is the current, r is the distance from the wire, and μ0 is the permeability of free space. Substituting the given values:μ0 = 4π x 10^-7 T•m/AI = 5 Ar = 5/100 m = 0.05 mB = (μ0I)/(2πr)= (4π x 10^-7 T•m/A × 5 A)/(2π × 0.05 m)= 6.9 × 10^-5 T (Tesla)Thus, the magnitude of the magnetic field in mt at a point still d = 5 cm from the wire and centered on it laterally is 6.9 x 10^-5 T.

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Water's molar enthalpy of fusion is 6.099 kJ/mol. Calculate the amount of energy as heat required to melt 7.95 x 105 g of ice.

Answers

Enthalpy and molar enthalpy are words that can be used to calculate the total amount of heat contained in a thermodynamic system in physical chemistry.

Thus, A body of matter or radiation that is contained by walls with specific permeabilities that can isolate this system from its surroundings is what we mean when we say that it is a thermodynamic system.

The overall heat content of a system is represented by its enthalpy, a thermodynamic quantity. It is equal to the sum of the system's internal energy and the volume times pressure product. As a result, it is a system's thermodynamic attribute.

The enthalpy value per mole is known as molecular enthalpy. Enthalpy is a thermodynamic quantity that, according to this definition, is equivalent to a system's entire heat capacity.

Thus, Enthalpy and molar enthalpy are words that can be used to calculate the total amount of heat contained in a thermodynamic system in physical chemistry.

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13. For the following reaction Mg + 2HCl → P₂+MgCl₂, calculate the mass of magnesium chloride produced if you start with 100.g of magnesium. ​

Answers

The mass of magnesium chloride produced is 392 g if we start with 100.g of magnesium.

What is mass?

The quantity of matter present in an object is determined by its mass, which is a fundamental attribute of matter. It is a scalar quantity and is denoted by the letters g or kg (kg). Weight, which is the force of gravity acting on an object and which varies depending on the gravitational field, is distinct from mass.

How do you determine it?

The reaction's chemically balanced equation is as follows:

Mg + 2HCl → MgCl₂ + H₂

This demonstrates that when one mole of magnesium (Mg) is combined with two moles of hydrochloric acid (HCl), one mole of magnesium chloride (MgCl2) and one mole of hydrogen gas (H2) are produced.

We need to know how many moles of magnesium there are in 100.0 g of magnesium in order to determine the mass of magnesium chloride produced. Magnesium has a molar mass of 24.31 g/mol, therefore

moles of Mg =  mass of Mg / molar mass of Mg

Moles of magnesium = 100.0 g / 24.31 g/mol.

Moles of Mg = 4.11 mol.

One mole of magnesium interacts to create one mole of magnesium chloride, according to the balanced equation. As a result, 4.11 moles of magnesium chloride were also created.

Magnesium chloride has a molar mass of 95.21 g/mol. Hence, the amount of magnesium chloride that is created is:

Mass of MgCl2 =  moles of MgCl2 x  molar mass of MgCl2

Mass of MgCl2= 4.11 mol x 95.21 g/mol

Mass of MgCl2 = 392 g.

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84.9 g of solid iron reacts with oxygen gas forming iron(III) oxide. How many moles of oxygen will react

Answers

Answer:

1.14 moles of oxygen will react

Explanation:

The balanced equation of reaction between iron and oxygen is  

4 Fe + 3 O₂  → 2 Fe₂O₃

By stoichiometry of the reaction (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of each compound participate in the reaction:

Fe: 4 molesO₂: 3 molesFe₂O₃: 2 moles

The molar mass of iron being Fe 55.85 g/mole, then the following amount of mass reacts by stoichiometry: 4 moles* 55.85 g/mole=223.4 g

You can apply the following rule of three: if by stoichiometry 223.4 grams of Fe react with 3 moles of O₂, 84.9 grams of Fe react with how many moles of O₂?

\(moles of O_{2} =\frac{84.9 grams of Fe*3 moles ofO_{2} }{223.4 grams of Fe}\)

moles of O₂= 1.14 moles

1.14 moles of oxygen will react

What is the first indirect effect of aerosols? What is the sign of its radiative forcing?

Answers

The first indirect effect of aerosols is the increase in cloud albedo. The sign of its radiative forcing is negative.

Aerosols play a major role in the earth's climate by scattering and absorbing solar radiation and modifying the microphysical and radiative properties of clouds. The first indirect effect of aerosols is the increase in cloud albedo.The albedo effect happens when radiation from the sun reflects off the planet and back into space. Clouds act as mirrors and reflect much of the sun's radiation back into space, making the Earth cooler. Aerosols increase cloud albedo, reflecting more radiation back into space, and causing the Earth's temperature to decrease. The sign of the radiative forcing of the first indirect effect of aerosols is negative.

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to the best of your knowledge, classify each of the following as an element, compound, or mixture. explain how your everyday experiences influenced your response. a. silver coin b. air c. coffee d. soil

Answers

a. Silver coin - Element (Silver is a pure element and is not chemically combined with any other element in a silver coin)

b. Air - Mixture (Air is a mixture of gases, primarily nitrogen and oxygen, with trace amounts of other gases and particles)

c. Coffee - Mixture (Coffee is a mixture of various compounds such as water, caffeine, and organic compounds that give it its flavour and aroma)

d. Soil - Mixture (Soil is a mixture of various substances such as minerals, organic matter, water, and air)

My everyday experiences influenced my response because I have come across these examples in my daily life and have been taught about them in science classes. For example, I know that air is composed of different gases and particles, and that soil is made up of a mixture of substances, including minerals and organic matter. Similarly, I know that a silver coin is made of pure silver and that coffee is made of various compounds.

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Dwarf planets are smaller than planets. What is another way that dwarf planets are different?

A. They are not spherical.

B. They do not orbit the sun.


C. They have large objects in their orbit.


D. They move more slowly along their orbits.

Answers

Answer:

number C

Explanation:

The answer is C hehe

Two pieces of the same metal or placed on the table with the piece of metal have the same density mass and texture which characteristic must be the only difference between the two samples

A-they contain a different amount of matter per unit volume

B-they have different dimensions

C-they are made up of a different type of matter

D-they have different boiling points

Answers

Answer:

B-they have different dimensions

Explanation:

It was explicitly stated in the question that the both samples are exactly pieces of the same metal. If that is so, pieces of the same metal must have the same density, contain the same quantity of matter, have the same boiling point and have the same amount of matter per unit volume.

However, the two pieces of metal may have different dimensions.

Which statement about energy is correct?

All energy comes from one of two sources: chemical bonds in an object’s molecules, or the state or position of the object.

All energy can be categorized as kinetic energy or potential energy.

Energy is the force that causes objects to be displaced.

There are many types of energy. Energy can be light energy, sound energy, thermal energy, chemical energy, and electrical energy.

Answers

The statement that "there are many types of energy" is correct. Energy is a fundamental concept in science and refers to the ability of a system to do work or cause a change. There are many different types of energy, each with its own characteristics and properties.



One of the most familiar forms of energy is light energy, which is produced by the sun and other sources of radiation. Sound energy is another form of energy that is produced by vibrations in matter, and it can be detected by the human ear. Thermal energy is the energy associated with the temperature of an object, and it is related to the movement of atoms and molecules within that object.

Chemical energy is stored in the bonds between atoms and molecules, and it is released during chemical reactions. Electrical energy is associated with the movement of electrons through a conductor, and it is used to power many of the devices we use every day. Other forms of energy include nuclear energy, gravitational energy, and kinetic energy.

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Please help fast! I will give brainliest!

Please help fast! I will give brainliest!

Answers

Answer:(c)

Explanation:

which is heavier gold (Au) or Silver (Ag)

Answers

Answer: Gold

Explanation: gold has a density of 19.32 g/cm3 where silver has a density of only 10.49 g/cm3

Explain the funtion of an electrolyte in a cell

Answers

To solve such this we must know the concept of double displacement reaction. Therefore, electrolyte helps in conducting electricity using movable ions.

What is chemical reaction?

Chemical reaction is a process in which two or more than two molecules collide in right orientation and energy to form a new chemical compound. The mass of the overall reaction should be conserved. There are so many types of chemical reaction reaction like combination reaction, double displacement reaction.

Electrolyte, in chemistry is a substance that conducts electric current as a result of a dissociation into positively and negatively charged particles called ions.

Therefore, electrolyte helps in conducting electricity.

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How many moles are equal to 2.4 x 1023 formula units of sodium chloride?

Answers

Answer:

The answer is 0.4 moles

Explanation:

To find the number of moles in a substance given it's number of entities we use the formula

\(n = \frac{N}{L} \\ \)

where n is the number of moles

N is the number of entities

L is the Avogadro's constant which is

6.02 × 10²³ entities

From the question we have

\(n = \frac{2.4 \times {10}^{23} }{6.02 \times {10}^{23} } = \frac{2.4}{6.02} \\ = 0.398671096...\)

We have the final answer as

0.4 moles

Hope this helps you

How do we see the color violet

Answers

Answer:

Violet is scattered most by Earth's atmosphere, but the blue cones in our eyes aren't as sensitive to it. While our red cones aren't good at seeing blue or violet light, they are a bit more sensitive to violet than our green cones.

Explanation:

According to the Heisenberg Uncertainty Principle, which of the following statements is inaccurate?

A. A certain electron has a speed of 1.6 x 10 m/s.

B. A certain electron located in the 3d ¹0 orbital has a speed of 1.6 x 106 m/s.

C. A certain electron is located in the 2p orbital of its atom.​

Answers

Answer: B

Explanation:

According to the Heisenberg Uncertainty Principle, the statement that is inaccurate is A certain electron located in the 3d ¹0 orbital has a speed of 1.6 x 106 m/s. The correct option is B.

What is Heisenberg's Uncertainty Principle?

The uncertainty principle, commonly known as Heisenberg's uncertainty principle, refers to any of a number of mathematical inequalities that state a basic cap on how precisely specific pairings of a particle's physical properties, known as complementary variables, may be predicted.

According to the Heisenberg uncertainty principle, it is impossible to simultaneously estimate with high precision an electron's momentum and position.

Therefore, the correct option is B. A certain electron located in the 3d ¹0 orbital has a speed of 1.6 x 106 m/s.

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When more than one variable changes during a scientific experiment,
A.
the outcome of the experiment is linked to the variable that changes first.

B.
the outcome of the experiment is linked to the variable that changes last.

C.
the outcome of the experiment is linked to the variable that changes the most.

D.
the outcome of the experiment may not be linked to any one specific variable.

Answers

C looks like it correct

Draw the structure (s) - 1-bromo-1-chloropropane show wedges and dashes. Draw highest Newman projection looking down th C1-C2 bond

Answers

1-Bromo-1-chloropropane has a bromine atom bonded to the first carbon (C1), a chlorine atom bonded to the second carbon (C2), and the remaining carbons connected in a chain. The highest Newman projection looking down the C1-C2 bond shows the C1 atom in the front, the C2 atom at the back, and the other atoms (Br, C3, and Cl) attached to the C1 atom.

Here's the structure of 1-bromo-1-chloropropane, showing wedges and dashes:

     Br

      |

      C

     /

    C

   /

  C - Cl

To draw the highest Newman projection looking down the C1-C2 bond, we need to imagine looking along that bond with the C1 atom in front and the C2 atom at the back. The attached atoms (Br, C1, C3, and Cl) will be represented as circles.

Here's the highest Newman projection:

      Br

       |

       C3

      /

     C1

    /

   C2

  /

 Cl

The C1 atom is represented by the intersection of the horizontal and vertical lines, while the C2 atom is shown as the circle at the end of the vertical line. The other atoms (Br, C3, and Cl) are attached to the C1 atom, and their positions are represented by their corresponding circles.

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Round the mmHg readings to the nearest whole number. Round the kPa readings to the nearest tenth. Round the atm readings to the nearest hundredth. Convert a pressure of 2.29 atm to ____ mm Hg.

Answers

The pressure of 2.29 atm  can be converted to \(1740.4 mm Hg.\)

What is conversation?

Conversation is a way of writing a value in another unit, it helps to reduce large values by using a unit.

It should be noted that 1 atm. =760.0 mm Hg

We were given 2.29 atm, the we can convert it to  mm Hg. as;

\([ 2.29 atm* 760.0 mmHg / atm.]\)

= 1740.4 mm Hg.

Therefore, The pressure of 2.29 atm  can be converted to \(1740.4 mm Hg.\)

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How many atoms are found inside a unit cell of a simple cubic, body-centered cubic, and face-centered cubic crystal? How far apart in terms of lattice constant a are nearest-neighbor atoms in each case, measure from center to center?

Answers

Simple Cubic (SC): 1 atom, nearest-neighbor distance = a/2

Body-Centered Cubic (BCC): 2 atoms, nearest-neighbor distance = a

Face-Centered Cubic (FCC): 4 atoms, nearest-neighbor distance = a√2

In a crystal lattice, the number of atoms found inside a unit cell and the distance between nearest-neighbor atoms vary depending on the type of lattice structure. Let's explore the characteristics of each type of cubic crystal lattice:

Simple Cubic (SC)

Number of atoms in a unit cell: 1

Nearest-neighbor distance: The nearest-neighbor atoms are located at the corners of the cube. The distance between the center of the cube (where the atom is located) and the corner atoms is equal to half of the length of one side of the cube.

Nearest-neighbor distance = a/2

Body-Centered Cubic (BCC)

Number of atoms in a unit cell: 2

Nearest-neighbor distance: The nearest-neighbor atoms are located at the corners of the cube and one atom at the center of the cube. The distance between the center atom and the corner atoms is equal to the length of one side of the cube.

Nearest-neighbor distance = a

Face-Centered Cubic (FCC)

Number of atoms in a unit cell: 4

Nearest-neighbor distance: The nearest-neighbor atoms are located at the corners of the cube and one atom at the center of each face of the cube. The distance between the center atom of one unit cell and the corner atom of a neighboring unit cell (center to center) is equal to the length of one side of the cube multiplied by the face diagonal of a cube (√2).

Nearest-neighbor distance = a√2

It's important to note that the "a" in the above equations represents the lattice constant, which is the length of one side of the unit cell.

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What is the density of object C? Does it sink or float in water?

What is the density of object C? Does it sink or float in water?

Answers

Answer:

0.96 g/cm3, and it will float!

Explanation:

I've explained how to do this before (remember me? lol), but ig I'll do it again..

By looking at the graph you can see that Object C has a mass of ~24 grams and a volume of ~25 cm3

Density = Mass/Volume -> 24 grams/25 cm3 = 0.96 g/cm3

Density of water is 1 g/cm3

Object C is less dense than water and therefore will float (just barely, though)

:)

It’s going to float hope this helps

A container has a pressure of 5,64 atm and a volume of 26.0 L. The volume of the container was decreased until the pressure was 9:17 atm. What is the new volume?​

Answers

The new volume of the container after the decrease in the former volume would be = 15.99L

How to calculate the final volume of the container?

The initial pressure in the container (P1) = 5.64 atm

The final pressure in the container (P2) = 9.17 atm

The initial volume of the container = 26.0 L

The final volume of the container = ?

to

Using Boyle's law formula;

P1V1 = P2V2

5.64 ×26.0 = 9.17 ×V2

make V2 the subject of formula;

V2 = 5.64×26/9.17

V2 = 146.64/9.17

V2 = 15.99L

Therefore, the new volume of the container is 15.99L which decreased due to increase in pressure.

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How is an unknown oxidation state of an element within a compound
determined?
O A. It will be the same in the products as in the reactants.
B. It will be the same as the charge on the compound.
C. It is always the same as the most likely oxidation state.
ОС
OD. It is determined from known oxidation states of other elem

Answers

Answer:

it is determined from known oxidation states of other elements

When a mixture is created, the components of the mixture _____________ theirindividual identities and properties.

Answers

When a mixture is created, the components of the mixture keep their individual identities and properties.

Explanation: A mixture does not create a new substance, meaning they don’t fuse and are still two separate components

The ease with which a liquid evaporates depends on the strength of its intermolecular forces. A liquid with stronger intermolecular forces will have a ______ vapor pressure at a given temperautre and thus a ______ boiling point.

Answers

A liquid with stronger intermolecular forces will have a lower vapor pressure at a given temperature and thus a higher boiling point.

which of the following best describes a functional group? multiple choice question. large molecules comprised of a glycerol and three fatty acid chains large molecules composed of two or more repeating smaller units special combinations of atoms that attach to hydrocarbon chains and rings to form organic nutrients molecules that are composed of hydrogen and carbon in a long chain or ring-like structure

Answers

The answer is (b). Specialized atom combinations known as functional groups bind to hydrocarbon chains and rings to create organic nutrition.

Any of the countless atom combinations that compose chemical compounds and undertake distinctive reactions on their own are categorized as functional groups. It frequently affects the remaining molecules in each molecule's reactivity. The idea of functional groups can be used as a foundation for categorizing numerous substances based on how they behave. Common functional group examples include the hydroxyl found in alcohols and phenols, the carboxyl found in carboxylic acids, and the carbonyl found in aldehydes, ketones, and quinones. It can be simply defined as an atom or group of atoms inside a molecule that share chemical characteristics when they appear in multiple compounds, despite the fact that other components of the molecule are very different.

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The Complete question is

which of the following best describes a functional group? multiple choice question. large molecules comprised of a glycerol and three fatty acid chains large molecules composed of two or more repeating smaller units special combinations of atoms that attach to hydrocarbon chains and rings to form organic nutrients molecules that are composed of hydrogen and carbon in a long chain or ring-like structure

(a) large molecules comprised of a glycerol and three fatty acid chains

(b) special combinations of atoms that attach to hydrocarbon chains and rings to form organic nutrients

(c) molecules that are composed of hydrogen and carbon in a long chain or ring-like structure

(d) large molecules composed of two or more repeating smaller units

In an acid-base neutralization titration, where the end point is a neutral solution, the unknown concentration of the receiving solution can be calculated because...

- the concentration of he acid solution must match the concentration of the basic solution

- the volume of the acidic solution must match the volume of the basic solution

- moles of H3O+ ions donated by the acid must match the moles of the OH- ions donated by the base

- volume of the titrant must be half of the solution formed from the titration

Please explain the answer, I'm very confused T^T
Thank you all so much!

Answers

In an acid-base neutralization titration, where the end point is a neutral solution, the unknown concentration of the receiving solution can be calculated because the concentration of he acid solution must match the concentration of the basic solution

Neutralization is a chemical reaction where an acid and a base react with each other in equimolar amount and acid base neutralization titration is based on acid base in quantitatively measurement and that's why it is called as acid base neutralization titration

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Use the equation q=mcΔT to solve the following problem


What is the specific heat capacity of a metal if 33.9 g of the metal releases 80.0 calories of heat and the temperature falls 50.0°C?



Answers

The specific heat capacity of the metal is 0.156 cal/g°C. using the equation q=mcΔT, we can solve for the specific heat capacity (c) of the metal.

First, we convert the mass of the metal from grams to kilograms:

m = 33.9 g = 0.0339 kg

Next, we plug in the values for q, m, and ΔT (which is -50.0°C because the temperature falls) and solve for c:

80.0 cal = (0.0339 kg) * c * (-50.0°C)

c = 0.156 cal/g°C

Therefore, the specific heat capacity of the metal is 0.156 cal/g°C. This means that it takes 0.156 calories of energy to raise the temperature of 1 gram of the metal by 1°C.

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an exercise ball is in the shape of a sphere with radius 3.5 inches. find the volume and surface area, round your answer to two decimal places. 2 / 3133%Choose the correct answer for the following sentences and give thereason for your answer.(10 marks)(i) The product of power into focal length for a lens is equal to(ii)(a) One (b) ten(c) one hundredThe human eye has a lens of focal length +5 cm. The power of theeye is(a) 0.05 D(b) 5 D(c) 20 DA transparent rod in which successive total internal reflection canoccur is called(a) A light pipe (b) a thin prism (c) total internalreflectionThe wavelength of visible light is between(a) 400 nm to 700 nm (b) 40 km and 70 km (c) 20 mm to 200(iv)mm(v)The SI unit for wave intensity is(a) Js(b) Wm?-1(c) Wmk1 Which of the following components is found in the reactions for protein translation activation? (Select all that apply.) ATP releasing factor proteins free amino acid uRNA 40S ribosomal subunit peptidyl transferase aminoacyl-tRNA synthetase free tRNA 60S ribosomal subunit PLEASE HELP ME someone wanna help me fill this out? Explain the concept of "cognatic descent "and how it varies. bacteria produce siderophores , prteins known to compete with the host's group of answer choices antibodies red blood cells. white blood cells. iron-transport proteins. receptors Let A and B be events with P(4)=0.7, P (B)=0.4, and P(A or B)=0.9. (a) Compute P(A and B). (b) Are A and B mutually exclusive? Explain. (c) Are A and B independent? Explain. Part: 0 / 3 Part 1 of 3 (a)Compute P(A and B). P(4 and B) = The equation of the line that goes through the point (8, 7) and is parallel to the line 4x + 4y = 2 can be written in the form y = mx + b, where m = b = help!!!!!!!!!!!!!!!!!!!!!!!!! Evaluate dz using the given information. z = 3x + 5xy + 4y; x = 7, y=-5, dx=0.02, dy = -0.05 dz = (Type an integer or a decimal.) what is difference between point and dot 2a + 3a + 4a =5a -18Help? When is it appropriate to include sunk costs in the evaluation of a project? Include sunk costs if they are considered to be overhead costs Include sunk costs if they improve the project's NPV It is never appropriate to include sunk costs Include sunk costs when they are relatively large Which of the following statements describe why local people in Asian lands chose to collaborate with the Japanese?- Collaboration offered a way to avenge grievances.- Collaboration was a means of gaining power.- Collaboration presented opportunities to make money. Alfred Wegener's theory was that "all continents were once joined together in a single landmass known as Pangea and have since drifted apart, further and further from one another." Many continents, including those that would have been part of Pangaea, have glacial deposits of the same age and structure, Knowing what I know now, If I happened to live in the early 20th century, I would have believed Wegener's theory to be true. According to a variety of sources, there is a high chance that Wegener's theory is scientifically correct. Five pieces of evidence to support Wegener's hypothesis are how the continents join like puzzle pieces, climatic indicators, fossils from dinosaurs like the Mesosaurus, Cynognathus. Lystrosauns, and Glossopteris, and clipped geological features. I think that Wegener would be pleased with our newfound knowledge of tectonics since his passing. He would have been most fascinated with the researching Earthquakes, The theories of both Continental drift and plate tectonics both explain how earth has geologically evolved Gver time, and with both of these theories being so similar, I believe that Wegener would be pleased especially because he would have more sources to back up his theories and no one could call him crazy for his studies. who invented the sethoscope PLEASE HELP HUMAN GEOGRAPHY Which of the following describes the spatial distribution of subsistence farming and commercial farming?Subsistence farming is found only in Latin America, and commercial farming is found only in Europe and the United States.Subsistence farming is prevalent in less economically developed areas, and commercial farming is prevalent in more economically developed areasSubsistence farming is worldwide, but commercial farming is limited to areas in Monsoon Asia.Subsistence farming regions are increasing worldwide, and commercial farming regions are decreasingSubsistence farming is located only in the southern hemisphere, and commercial farming is limited to regions in the northern hemisphere The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x 4)3 7. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?(4, 7)(4, 7)(4, 7)(4, 7) What is the differentiation of 2cos2x