The rectangular object below has a mass of 198,000 grams.
A) What is the volume of the rectangular prism?
B) What is the density of the object? (Round your answer to the nearest hundredths place)
C) What rectangular prism made out of ?

The Rectangular Object Below Has A Mass Of 198,000 Grams. A) What Is The Volume Of The Rectangular Prism?B)

Answers

Answer 1

A. 0.225

B. 4.6 kg/m3.

C. These six faces are made of three pairs of congruent faces.

For an object to be a right-angled prism all six faces must be rectangular opposite faces must be equal, and cross-sections along the length must be equal. You can draw a rectangle on the paper, but you can also make a rectangular prism out of real materials such as wood. A right-angle prism is a three-dimensional object with rectangular faces. A right-angled prism is a cube if all the faces of the prism are squares.

Prisms are named for the shape of their faces. A right-angle prism is therefore a simple prism that has rectangles as faces. A closed three-dimensional shape, but based on two rectangles. A prism is a three-dimensional shape bounded by flat faces on all sides. Prisms have two types of faces. The top and bottom are the same and are called the base. Prisms are named after the shape of these bases. For example, if the base of a prism is triangular it is called a triangular prism.

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Related Questions

does anyone know how to answer this question?

Answers

The answer is B. You first subtract the accepted value from the experimental value and then divide that answer by the accepted value. At the end you multiply by 100 to get the percent error.

Find the balanced molecular equation FeSO4(aq) + K3PO4(aq) →

Answers

Answer:

3FeSO4 + 2K3PO4 → Fe3(PO4)2 + 3K2SO4

Explanation:

-) Potassium is also in Group 1 of the periodic table. Potassium reacts with water in a similar
way to lithium. Write down two differences you would see between the reactions of
potassium and lithium with water.

Answers

Lithium react slowly with water while potassium react violently with water. potassium caught  fire while lithium does not caught fire.

What is chemical reaction?

Chemical reaction is defined as a procedure in which one or more compounds, known as reactants, are changed into one or more distinct substances, known as products.

It can also be defined as a process in which two or more molecules collide with the proper orientation and enough force to produce a new product.

There are mainly five types of reaction.

Synthesis reactionAcid base reactionRedox reactionDecomposition reactionPrecipitation reaction

Thus, Lithium react slowly with water while potassium react violently with water. potassium caught  fire while lithium does not caught fire.

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what is causing the marshmallow to change their sate of matter

Answers

Answer:

Any form of semi high energy waves cause the water molecules inside the marshmallow to vibrate which heat and soften the sugar matrix inside the marshmallow. The weakened sugar matrix allows air bubbles within the marshmallow to expand rapidly and the marshmallow puffs up and becomes goo. If this proccess is repeated it can completly change it's state of matter.

Explanation:

1. How does the atomic structure of sodium determine its uses and functions?

Answers

Answer:octahedral coordination around Na + and Cl − centers. 

BRAINLIEST LOTS OF POINTS | One molecule of bromine (Br2) and two molecules of potassium chloride (KCl) combine in a reaction. How many atoms are in the products?
First, write out the equation.
Balance the equation.
Count atoms in the product.
What is the answer?

Answers

Answer:

6 atoms

Explanation:

Br2 + 2KCl = 2KBr + Cl2

2KBr = 4 atoms

Cl2 = 2 atoms

total 6 atoms

Chemical reaction between bromine and potassium chloride is  2 KCl +Br₂[tex]\rightarrow[/tex] 2 KBr +Cl₂. There are 6 atoms in the product .

What is a chemical reaction?

Chemical reactions are defined as reactions  which occur when a substance combines with another substance to form a new substance.Alternatively, when a substance breaks down or decomposes to give new substances it is also considered to be a chemical reaction.

There are several characteristics of chemical reactions like change in color, change in state , change in odor and change in composition . During chemical reaction there is also formation of precipitate an insoluble mass of substance or even evolution of gases.

There are four types of chemical reactions:

1) combination reaction

2)decomposition reaction

3) single displacement reaction

4) double displacement reaction

During chemical reactions atoms are rearranged and reactions are accompanied by an energy change as new substances are formed.

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A 1.02 g magnesium supplement contains 25.0% Mg by mass. The magnesium is present in the supplement as MgO(s) (molar mass 40.30 g/mol). How many grams of MgO(s) are in the magnesium supplement? Write your answer using three significant

Answers

Based on the percentage mass of magnesium oxide in the sample, the mass of Magnesium oxide in the sample is 0.42 g.

What is the mass of magnesium in the supplement?

Magnesium is a metallic element with an atomic number of 12.

Magnesium is an important mineral that is used as a supplement s well as in drugs such as milk of magnesia.

Considering the given magnesium supplement:

1.02 g magnesium supplement contains 25.0% Mg by mass.

Magnesium is present in the supplement as magnesium oxide, MgO.

The molar mass of magnesium oxide, MgO = 40.30 g/mol

Molar mass of magnesium = 24.0 g

Percentage mass of Magnesium oxide in the sample = 40.3 / 24 * 25

Percentage mass of Magnesium oxide in the sample = 42%

Mass of Magnesium oxide in the sample = 42 % * 1.02

Mass of Magnesium oxide in the sample = 0.42 g

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What is the final temperature of a 300.0 gram glass of water if it is placed
in the microwave at 22.0°C and it absorbs 5000.0 joules of energy?

Answers

The final temperature of a 300.0-gram glass of water if it is placed

in the microwave at 22.0°C and it absorbs 5000.0 joules of energy is

3.987°C.

What does ' amount of heat gained or lost " means?

The equation q = MCT, where m is the mass of the sample, c is the specific heat, and T is the temperature change, can be used to determine the amount of heat that a sample (q) gains or loses. q = mct. liquid mass, m (so this would be in grams) t = temperature change. For example, water's particular constant, C, is 4.2 J g-1 K-1, therefore you just enter that value into the formula in the exam to get the energy of water.

Calculating heat energy involves using the equation Q = MCT. Mass, specific heat, and temperature change are all components of heat energy. Q = MCT. where Q is the heat energy, M is the material's mass, C is the specific heat, and T is the temperature change.

  q =  m CΔT

5000 J = 300 g × 4.18 J × ΔT

ΔT = 5000/1254

= 3.9872

= 3.987°C.

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PLEASE HELP HALF MY GRADE!!What is a procedure you can follow to find evidence that yeast and plant cells produce carbon dioxide
during cellular respiration?

Answers

Answer:

Cellular respiration is the process where cells break down glucose and then they convert it into energy. Cellular respiration is important because without cellular respiration there would not be any energy and without energy there would not be any food.

When a screen is used to easily separate substances, what physical properties are being used?
Responses

temperature, size
temperature, size

size, shape
size, shape

texture, shape
texture, shape

density, buoyancy btw this is science

Answers

When a screen is used to easily separate substances, what physical properties are being used then the size are used

A physical property is a characteristic of matter that is not associated with a change in its chemical composition and similar examples of physical properties include density, color, hardness, melting and boiling points, and electrical conductivity and the physical property that is in use when substances are separated using a screen is differences in particle size of the substances and this is the separation method

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Answer:

d

Explanation:

Which sample is composed of particles arranged in a regular geometric pattern?
A) Cl2(g)
B)CCl4(l)
C)LiCl(s)
D)LiCl(aq)

Answers

Solid Lithium chloride (LiCl) is made up of particles arranged in a regular geometric pattern. Therefore, option (C) is correct.

What types of solids have geometric patterns?

In the crystalline Solid, the constituent particles are closer to each other due to the intermolecular force of attraction between them. So there is no free space between them due to which its shape can't be changed which is said to be regular geometry.

The building constituents in crystalline solids, arrange in a regular manner throughout the entire 3D network. The ordered arrangement of constituent units extends over a large distance. Thus, crystalline solids have a long-range arrangement. A crystalline solid contains a large number of units called crystals.

Lithium Chloride is a white solid soluble in water, ether, and alcohol and chemical formula for lithium chloride is LiCl.  Lithium chloride has the same crystal structure as NaCl.

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heat is added to a 200.-gram sample of h2o(s) to melt the sample at 0°c. then the resulting h2o( ) is heated to a final temperature of 65°c. 5. compare the amount of heat required to vaporize a 200.-gram sample of h20( ) at its boiling point to the amount of heat required to melt a 200.-gram sample of h2o(s) at its melting point.

Answers

54.418 kJ amount of heat required to completely melt the200gm of H2O sample at its melting point.

What is the calculation of the above problem?

Mass of water = 200 g

Initial temperature of the water = 0°C

Final  temperature of the water = 65°C

Temperature change = Delta T = 65

Specific heat capacity = 4.168J/g C

 (1 kJ = 1000J)

54.418 kJ amount of heat required to completely melt the sample.

At 100 C and 1 atm, how much heat is required for 1 g of water to evaporate?

At 100 °C, which is where water boils, the heat of vaporization for water is around 540 cal/g.

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calculate the volume in liters of a m potassium dichromate solution that contains of potassium dichromate . be sure your answer has the correct number of significant digits.

Answers

Incomplete question but using assumed values, the volume of m potassium dichromate solution that contains potassium dichromate is 9.1L

To calculate the volume of solution, we use the equation for molarity of solution:

Molarity of solution = mass of solute/molar mass of solute*volume of solution (in liter)

Where assumed values are:

Molarity of solution = 0.15 M

Given mass of potassium dichromate = 400. g

Molar mass of potassium dichromate = 294.15 g/mol

Volume solution in liter = x

i.e.

0.15 = 400/294.15*x

Volume of solution in liter = 400/294.15*0.15

Volume of solution in liter = 400/44.12

Volume of solution in liter = 9.06

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Object A has a density of 2.6 g/cm³. What is the mass of 36.5 cm³ of object A in units of g

Answers

According to solving the object's mass is 94.9g.

Mass: What is it?

One of the fundamental quantities in physics and the most fundamental aspect of matter is mass. A body's mass is the measurement of the volume of matter it contains. The kilogram serves as the SI unit for mass (kg). This is how the mass formula appears:

Mass is equal to Density x Volume.

How do mass, density, and volume relate to one another?

How much space an object or substance occupies is determined by its volume.

A substance or object's mass is a measure of how much matter it contains. The density of an object or substance is the ratio of its mass to its volume, or the quantity of material it contains (its mass).

According to the question

Object density=2.6g/cm³

volume= 36.5 cm³

Formula :-Mass = Density × Volume

M=2.6g/cm³ ×36.5 cm³

M=94.9g

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in a 4.00 l pressure cooker, water is brought to a boil. if the final temperature is 115.0 °c at 3.20 atm, what quantity in moles of steam are in the cooker?

Answers

The no. of moles of steam present in the cooker is 0.402 mol.

The ratio between a substance's given mass in a chemical reaction and the mass of one mole of that material is used to determine how many moles there are of that substance. Any material has an atomic mass of one mole, or 6.023 x [tex]10^{23}[/tex], according to Avogadro. Additionally, No. of moles is employed to represent concentration measurements like mole per liter and molecular weight.

Given:

Pressure, P = 3.20atm

Volume, V = 4L

Temperature, T = 115℃ = 115 + 273 = 388K

To find:

No. of moles, n = ?

Formula:

PV = nRT

Calculations:

n = 3.20 x 4 / 0.082 x 388

n = 0.402 mol

Result:

0.402 moles of steam is present in the cooker.

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problem b. a silicon crystal is to be grown using the czochralski method. the ingot of crystalline silicon is to contain 3x1015 dopant atoms/cm3. (show your work.) a. if kd

Answers

A small seed crystal is placed into a melt in a crucible and pulled upward to form a single crystal using the Czochralski (CZ) method of crystal formation. The approach was created in 1916 by a Polish scientist by the name of Jan Czochralski.

How is silicon crystallized using the Czochralski CZ method?

The Czochralski method is to be used to create a silicon crystal as the solution to problem B. The crystalline silicon ingot must have 3x1015 dopant atoms per cubic centimeter. (Indicate your work.) a. if kd

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!PLS URGENT 50 POINTS! Determine the pressure change when a constant volume of gas at 1.5 atm is heated from 18 °C to 32 °C.

Answers

P1 / T1 = P2 / T2

In our question, we are given this information.

P1 = 1.2 atm
P2 = ?
T1 = 15 C
T2 = 30 C

Then, solve for P2.

P1 / T1 = P2 / T2

P2 = (P1 / T1) * T2

P2 = (1.2 atm / 15 C) * (30 C) = 2.4 atm

Now, the question asks the pressure change, therefore we must solve for the P2-P1

Pressure Change = P2 - P1 = 2.4 atm - 1.2 atm = 1.2 atm

This makes sense, because if the Temperature is doubled, then so is the Pressure, as long as the other parameters in the gas law are held constant.

is it true that the physical constants of abuse substance depend on the mass of the sample used​

Answers

No, the physical constants of abuse substance do not depend on the mass of the sample used​.

Does mass have an impact on density?

Mass and volume are intimately correlated with density. In reality, it explains the precise nature of the connection between the two. By dividing the mass of an object by its volume, we may get its density. The mass is considered to have a low density if it has a high volume but a tiny mass.

By dividing a material's mass by its volume, one can get a material's density, which is defined as its mass per unit volume. Returning to the molecular level, the mass of a material's molecules and how tightly they are packed together determine the material's density.

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Balance the following the chemical equation: _ Na2O + _ CaBr2 → _ NaBr + _ CaO

Answers

The balanced form of the chemical equation is as follows:

Na₂O + CaBr₂ → 2NaBr + CaO

What is a balanced chemical equation?

A chemical equation is a symbolic representation of a chemical reaction where reactants are represented on the left, and products on the right.

A chemical equation is said to be balanced when the number of atoms of each element on both sides of the equation is the same.

To balance a chemical equation, we make use of coefficients, which are numbers placed in front of the elements to make the atoms equal.

According to this question, sodium oxide reacts with calcium bromide as follows:

Na₂O + CaBr₂ → 2NaBr + CaO

The above equation is said to balanced because the following atoms are equal on both sides of the equation:

2 atoms of sodium2 atoms of bromine1 atom of calcium1 atom of oxygen

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When a metal is reduced by reaction with carbon, which element is removed from the compound?

A: Carbon
B: Oxygen
C: Hydrogen
D: Silver

Answers

Answer:

Oxygen

Explanation:

reduction is the removal of oxygen to a substance

please help with this need it in 6 hours
1.)in the thermit reaction 2Al + Fe2o3= al2o3 + 2 fe. what is the mass of aluminium powder is needed to react with 8.0g of iron (3) oxide
2.) what mass of magnesium sulphate crystals can be made from14.0g of magnesium carbonate and an excess of dilute sulphuric acid
3.) what mass of calcium oxide is formed when 25g of calcium carbonate is decomposed by heat?
4.) Lead (ii) oxide PbO, reacts with hydrogen to for lead and steam. calculate the mass of lead in formed when 446g of lead (ii) oxide is reduced in this way.
5.) what volume of gas is given off when excess calcium carbonate is added to 50cm cube of 2.0M by hydrochloric acid , if the gas volume is measured at s.t.p.?

Answers

1) Mass of aluminum powder is 2.7 g.

2) Mass of magnesium sulfate is 19.9 g.

3) Mass of calcium oxide is 14g.

4) Mass of lead 412.2 g.

1) In the thermite reaction :

2Al     +     Fe₂O₃   ----->  Al₂O₃   +   2Fe

mass of  Fe₂O₃ = 8.0 g

molar mass of   Fe₂O₃ = 159.6 g/mol

number of moles = mass / molar mass

                             = 8.0 g / 159.6 g/mol

                             = 0.050 moles

1 mole of  Fe₂O₃ react with 2 mole of Al ,

0.050  Fe₂O₃ moles react with 2 × 0.050 = 0.1moles of Al

number of moles of Al = mass / molar mass

mass of Al = no. of moles × molar mass

                 = 0.1 mol × 27 g/mol

                 = 2.7 g

Thus, the mass of aluminum powder is needed to react with 8.0 g of iron (III) oxide is 2.7 g

2) the reaction is :

MgCO₃ +   H₂SO₄  ----->   MgSO₄   +   CO₂    +   H₂O

mass of MgCO₃ = 14.0 g

no. of moles of MgCO₃ = mass / molar mass

                                      = 14 g / 84.3 g/mol

                                      = 0.166 moles

1 mole of MgCO₃  produced 1 mole of MgSO₄,

0.166 mole of MgCO₃  produced 0.166 mole of MgSO₄

mass of MgSO₄ = 120.3 g/mol

no. of moles of MgSO₄ = mass / molar mass

mass of MgSO₄ = no. of moles × molar mass

                          = 0.166 mol × 120.3 g/mol

                          = 19.9 g

Thus, mass of magnesium sulfate crystals can be made from14.0g of magnesium carbonate and an excess of dilute sulfuric acid is 19.9 g

3) the reaction is :

CaCO₃   ----->   CaO + CO₂

mass of calcium carbonate = 25 g

molar mass of CaCO₃ = 100 g/mol

no. of moles of = mass / molar mass

                         = 25 / 100

                         = 0.25 mol

0.25 moles of CaCO₃ produced 0.25 moles of CaO

molar mass of  CaO = 56 g/mol

mass of CaO = no. of moles × molar mass

                      = 0.25mol × 56 g/mol

                      = 14 g

the mass of CaO produced 14 g.

4) PbO  +   H  ----->    Pb   + H₂O

mass of PbO = 446g

no. of moles = mass / molar mass

                     = 446 g / 223.3 g/mol

                     = 1.99 mols

1.99 moles of PbO produced 1.99 moles of Pb

molar mass of Pb = 207.2 g/mol

mass of Pb = no. of moles × molar mass

                   = 1.99 mol × 207.2 g/mol

                   = 412.2 g

Thus, Lead (ii) oxide PbO, reacts with hydrogen to for lead and steam. calculate the mass of lead in formed when 446g of lead (ii) oxide is 412.2g.

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what effect does a catalyst have on the energy of a reaction system

Answers

answer : A catalyst speeds up the rate of a reaction.

If the [H*] changed from [1 x 10-7] to [1 x 10-4], what is the new [OH-]?
01x 10-4
01x10-3
01 x 10-10
01x 10-7

Answers

The new concentration of hydroxide ions [OH-] is calculated as 1 x [tex]10^{-10}[/tex] M if the [[tex]H^{+}[/tex]] changed from [1 x [tex]10^{-7}[/tex]] to [1 x [tex]10^{-4}[/tex]] during the concentration change.

How do you determine H+ using pH?

By “undoing” the common logarithm by exponentiating both sides with base 10 to obtain [[tex]H^{+}[/tex]] = 10pH.

How can I determine pH?

You need to know the hydronium ion concentration in moles per litre to determine the pH of an aqueous solution (molarity). The formula pH = - log is then used to get the pH. [H3O+].

Concentration of [tex]H^{+}[/tex] ions = [[tex]H^{+}[/tex]] = 1 x [tex]10^{-7}[/tex]

When concentration of [[tex]H^{+}[/tex]] ions changed to 1  x [tex]10^{-4}[/tex] M

[[tex]H^{+}[/tex]] = 1 x  [tex]10^{-4}[/tex] M

The pH of the solution will further change to:

pH = -log [[tex]H^{+}[/tex]]' = -log [1 x [tex]10^{-4}[/tex]] = 4

pH + pOH = 14

pOH = 14 - 4 = 10

And we know that:

pOH = -log  [[tex]OH^{-}[/tex]]

10 = -log  [[tex]OH^{-}[/tex]]

[[tex]OH^{-}[/tex]] = 1 x   [tex]10^{-10}[/tex] M

Important Ideas

If the pH of the solution is known, it is possible to compute the hydrogen ion concentration in a solution, [H+], in mol L-1.

The negative logarithm (to base 10) of the hydrogen ion concentration in mol L-1 is used to calculate pH. pH equals -log10[H+]

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Click oil basics to explore the natural resources needed for the production of plastics. use the information to answer the question. which of these ingredients is important in making plastics? carbon dioxide particulate matter natural gas volatile organic compounds

Answers

The correct answer is option C: natural gas

The ingredient which is important in making plastics is natural gas.

Plastics are the refined form of natural gas, plant liquids, and crude oils.

Plastics can be manufactured in two ways: synthetic and biobased.

Synthetic plastics come from raw materials including natural gas, crude oil, and coal.

On the contrary, biobased plastics are manufactured from renewable materials such as starch, vegetable fats, oils, and carbohydrates.

However, the most common method of plastic manufacturing is the transformation of raw materials into refined propane and ethane.

In the next step, ethane and propane undergo cracking which transforms them into ethylene and propylene which are the building blocks of long chains of polymers.

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Answer:it's C

Explanation:

I just did it on Edge you're welcome Happy early Halloween you're beautiful and have a nice day. :)

What is the force that holds a pencil down against a desk?
Responses

friction


momentum

gravity


normal

Answers

Answer:

Gravity

Explanation:

Gravity is the force that attracts a body towards the centre of the earth, or towards any other physical body having mass.

Answer:

Gravity

Explanation:

Gravity is the force that attracts a person or an object to weigh, or pull. I hope this helped :)

Which type of force exists as a result of positive and negative charges?
A. Electromagnetic
B. Weak nuclear
C. Strong nuclear
D. Gravitational

Answers

The type of force exists as a result of positive and negative charges is C. Strong nuclear.

What does the strong nuclear force do?

It is known to often holds Quarks, the fundamental particles that make up protons and neutrons of the atomic nucleus, are held together by the strong force, which also keeps protons and neutrons together to form atomic nuclei.

Note that Positively charged protons as well as neutrally charged neutrons are created when the strong nuclear force brings together positively and negatively charged quarks. In the atomic nucleus, protons and neutrons are also held together by the strong nuclear force.

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How would the amount of water produced compare if you ignited a very large balloon of hydrogen and oxygen instead of a very small balloon filled with the same reactants (hydrogen and oxygen)?

Answers

The amount of water that we get from the large balloon is greater than the amount of water that we get from the small balloon.

What is the ratio of the reactants in water?

We know that water is composed of hydrogen and oxygen. Let us recall that the ratio of the water and the oxygen that form the water molecule is fixed irrespective of the volume of the water that we use for the reaction.

If we compare if you ignited a very large balloon of hydrogen and oxygen instead of a very small balloon filled with the same reactants, we would notice that the amount of water that is formed from the large balloon of hydrogen and oxygen is greater than that produced from a very small balloon filled with the same reactants.

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Tissues are composed of groups of:

Answers

Tissue is a group of cells that have similar structure and that function together as a unit. A nonliving material, called the intercellular matrix, fills the spaces between the cells.

Which metal is likely to be more reactive? Mg or Rb
please explain why ​

Answers

Answer: Rb is more reactive

Explanation: The reason rubidium is more reactive is because it loses its valence electron more readily than Mg does.

Answer:

Rb

Explanation:

Mg has 2 valence electrons to loose vs Rb has 1 valence electron to loose.

Rb wins because losing 1 electron is easier than having to lose 2, which means Rb is more reactive ("ready" to react).

If the mass of the ice to the cup increases the total energy in the cup will what

Answers

The mass of the ice to the cup increases The total energy in the cup will - The mass remains unchanged.

What is mass?
The total amount of matter in a physical body is defined as its mass. In the presence of a net force, it also serves as a gauge for the body's inertia, or resistance to acceleration (change in velocity). The gravitational pull of an object on other bodies is also influenced by its mass. The kilogramme is the SI's primary mass unit (kg). Even though weight is frequently measured with a spring scale rather than a balancing scale and directly compared to known masses, mass and weight are not the same thing in physics. Because of the lower gravity on the Moon, an object would weigh less while maintaining the same mass as it does on Earth.

The latent heat of fusion is absorbed by the mass. This is required for phase changes.

Despite absorbing heat from the environment, the temperature stays the same as long as there is still some ice present. The warmth that is absorbed is used as latent heat rather than sensible heat.

The mass remains unchanged.

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Checking the credentials of a website reviewer could help you determine whether that person is _____.A. paid to review favorably on websitesB. an expert in the fieldC. opinionatedD. none of these Based on this map, what conclusions can be drawn about human origins?O Humans first emerged in North America and then moved to Africa and Europe.O Human life began in one location and then spread around the world.O Human life began in at least seven different locations.O Humans first emerged in Australia and then flowed through Asia and Africa. what do we call music that involves short melodies or sounds that are frequently repeated? over time, those melodies or sounds have slight variations (thus having minimal movement)? Given the following vector u and v, compute the linear combination below: Please provide a step by step solution ty :)) A water desalination plant can produce 2.6 x 10^6 gallons of water in one day. How many gallons can it produce in 6 days? Write your answer in scientific notation. Victor found 12 sand dollars and 20 starfish at the beach cheyenne found 8 sand dollars and 16 starfish at the beach collection has a higher ratio of sand dollars to starfish Starting from scratch, Tori finished 1/6 of a reading assignment Monday afternoon and another 1/3 of it on Tuesday afternoon. What fraction of the reading assignment was done by Tuesday night?Write your answer as a fraction or as a whole or mixed number. The Tell-Tale Heart In what way does the narrator try to prove that he is sane? (Use 3 examples) Mylie's total utility from singing the same song over and over is 50 utils after one repetition, 90 utils after two repetitions, 120 utils afterthree repetitions, 140 utils after four repetitions, 100 utils after five repetitions, and 40 utils after six repetitions, as shown in the tablebelow.a. Write down her marginal utility for each repetition.Instructions: Enter your answers as a whole number. If you are entering any negative numbers be sure to include a negative sign (-) infront of those numbers.Repetitions0123456Total Utility 0509012014010040Marginal Utility-b. Once Mylie's total utility begins to decrease, does each additional singing of the song hurt more than the previous song or less thanthe previous song?More than the previous songLess than the previous song Given: x y w is a transversal of x and y.Prove: 4 5Parallel lines x and y are cut by transversal w. On line x where it intersects line w, 4 angles are created. Labeled clockwise, from the uppercase left: angle 2, angle 1, angle 3, angle 4. On line y where it intersects line w, 4 angles are created. Labeled clockwise, from uppercase left: angle 6, angle 5, angle 8, angle 7.A 2-column table with 5 rows. Column 1 is labeled statements with the entries x is parallel to y, w is a transversal, angle 4 is congruent to angle 1, angle 1 is congruent to angle 5, angle 4 is congruent to angle 5. Column 2 is labeled reasons with the entries given, given, A, B, C.Complete the two-column proof.A B C Where do local governments get most of their tax revenues? income tax estate tax property tax sales tax explain and justify what would happen to the work done by the cable and magnitude of tension force as the crate was lifted the same height h but with a longer ramp. What are some advantages of writing the polynomial I factored form when interpreting this situation 9. Convert this degree into direction A) 135 namrata is surprised that lawrence is the manager of the customer acquisition area. he is known for being insensitive to other employees and refuses to accept any changes instituted by the board of directors. lawrence's behavior could be described as . a research employee at the european metabolic diseases group would have a boss at the company's european research department and a boss at the company's european metabolic diseases product group. this would be in violation of: If anyone can help lmk real answers only Evaluate the expressionx-yifx = -2y = 3z=5Show your work. 1: Explain physical fitness, physical activity, and exercise. How are they related (4 pts)2. There are 6 components to wellness. Identify how each can be improved through physical fitness. (6 pts)3. Using a scale of 1 to 10(1 low and 10 high) rate yourself as to each component of wellness. Justify your response.(6 points)4. How do you plan to improve each component as it relates to your answer in question 3? (6pts) If there are 6.45 x 1020 atoms in a sample of pure silver metal, what is the mass of the sample in grams?