A nuclear waste site. cesium-137 is a particularly dangerous by-product of nuclear reactors. it has a half-life of 30 years. it can be readily absorbed into the food chain and is one of the materials that would be stored in the proposed waste site at yucca mountain (see the article opening this section). suppose we place 3000 grams of cesium-137 in a nuclear waste site.how much cesium-137 will be present after 60 years, or two half-lives?

Answers

Answer 1
The mass decay rate is of the form
[tex]m(t) = m_{0} e^{-kt}[/tex]
where
m₀ = 3000 g,the initial mass
k = the decay constant
t = time, years.

Because the half-life is 30 years, therefore
[tex]e^{-30k} = \frac{1}{2} \\\ -30k = ln(0.5) \\ k = \frac{ln(0.5)}{-30} =0.0231[/tex]

After 60 years, the mass remaining is
[tex]m = 3000 e^{-0.0231*60} = 750 \, g[/tex]

Answer: 750 g


Related Questions

A balanced chemical equation shows the proportions of reactants and products necessary for

Answers

for a chemical reaction

10 points: What do Lewis structures show?

A.) only electrons that are unavailable for bonding
B.) all but the valence electrons
C.) only valence electrons
D.) all electrons

Answers

Final answer:

Lewis structures show only valence electrons. They use dots and lines to represent valence electrons and bonds, respectively. By drawing Lewis structures, we can understand how atoms form bonds and predict the behavior of molecules.

Explanation:

Lewis structures show only valence electrons. Valence electrons are the outermost electrons in an atom, and they are the ones involved in bonding. Lewis structures use dots and lines to represent valence electrons and bonds, respectively.

The dots around the atomic symbol represent the valence electrons of the element. For example, carbon has 4 valence electrons, so its Lewis structure would have 4 dots around it. Lines are used to represent bonds, where each line represents a pair of shared electrons.

By drawing Lewis structures, we can understand how atoms form bonds with each other and how electrons are shared between atoms in a molecule. This helps us determine the shape and properties of molecules and predict their behavior.

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Compound 1: 76.0% ru and 24.0% o (by mass), compound 2: 61.2% ru and 38.8% o (by mass). part a what is the empirical formula for compound 1?

Answers

To solve for the empirical formula, we write first all the data.

Given:
Compound 1: 76 wt% Ru and 24wt% O
Compound 2: 61.2 wt% Ru and 38.8  wt% O

Required: Empirical Formula of Compound 1

Solution:
Assume total mass of the compound is 100 g

Solving for Compound 1,

76 g Ru x 1 mol Ru      = 0.75195 mol Ru
               101.07 g Ru

24 g O x 1 mol O    = 1.5 mol O
                16 g O


Then, divide each mole with the smallest number of moles calculated

Ru = 0.75195 mol/0.75195 mol = 1
O = 1.5 mol/0.75195 mol = 2

Therefore, the empirical formula for Compound 1 is RuO2.

ANSWER: RuO2




What is easier to separate a homogeneous mixture or a heterogeneous mixture?

Answers

The difference in the size of their particles

Explanation:

Heterogeneous mixtures are easier to separate because the particles sizes of the components of the mixture differ greatly and such the separation technique used can take advantage of this property.

An example frequently used is Sand and water. Simply filtration with filter paper and funnel brings about this separation as the water particles are small enough to pass through the paper, however the sand particles are too large and are stopped from passing. After a few moments, the water and sand would have been fully separated.

Homogenous mixtures are harder to separate because the particles sizes are close in relation to each other and as such this property would not be ideal for the separation technique used.

This is when the experimenter will turn to other properties such as boiling points, melting points and solubility in order to separate them.

An example would be to separate salt from water.

The technique preferred is evaporation as the boiling points of H2O(100oC) and NaCl(1413oC) are far apart and thus would cause the evaporation of the water longer before the NaCl begins to evaporate.

What is the molarity of a 10.2 % by mass glucose (c6h12o6) solution? (the density of the solution is 1.03 g/ml .)?

Answers

Final answer:

To find the molarity of a 10.2% glucose solution with a density of 1.03 g/ml, you calculate the mass of glucose in 1 L of solution to be approximately 105.06 g, convert this to moles, and find the molarity to be 0.583 M.

Explanation:

The question asks: What is the molarity of a 10.2 % by mass glucose (C₆H₁₂O₆) solution? (the density of the solution is 1.03 g/ml). To find the molarity, first identify the mass of glucose in a given volume of the solution. Assuming we have 1000 mL (or 1 L) of solution for simplicity, with a density of 1.03 g/mL, the total mass of the solution would be 1030 g. Given that 10.2% is by mass, the mass of glucose is 10.2% of 1030 g, which equals 105.06 g.

To find the molarity, we need to convert the mass of glucose to moles by dividing by its molar mass (180.156 g/mol for C₆H₁₂O₆). This equals approximately 0.583 moles of glucose. Since molarity is defined as moles of solute per liter of solution, and our assumed volume of the solution is 1 L, the molarity of the glucose solution is therefore 0.583 M.

The molarity of a 10.2% by mass glucose solution with a density of 1.03 g/mL is approximately 0.583 M.

The solution's volume and the number of moles of glucose were calculated to determine this value.

This gives the concentration of glucose in the solution.

To find the molarity of a 10.2% by mass glucose (C₆H₁₂O₆) solution with a density of 1.03 g/mL, follow these steps:

Determine the mass of glucose and the mass of the solution: Assume we have 100 g of solution. This means we have 10.2 g of glucose and 89.8 g of solvent (water).Calculate the number of moles of glucose: The molar mass of glucose (C₆H₁₂O₆) is 180.16 g/mol.
Number of moles of glucose = 10.2 g / 180.16 g/mol ≈ 0.0566 molFind the volume of the solution: Density = mass/volume, so volume = mass/density.
Volume of solution = 100 g / 1.03 g/mL ≈ 97.09 mL = 0.09709 LCalculate molarity: Molarity (M) = moles of solute / volume of solution (in liters).
Molarity = 0.0566 mol / 0.09709 L ≈ 0.583 M

Therefore, the molarity of the solution is approximately 0.583 M .


Correct question is: What is the molarity of a 10.2 % by mass glucose (C₆H₁₂O₆) solution? (the density of the solution is 1.03 g/ml .)?

What is the mass percent composition of oxygen in ethylene glycol, c2h6o2?

Answers

51.554% First, look up the atomic weights of all the involved elements atomic weight carbon = 12.0107 atomic weight hydrogen = 1.00794 atomic weight oxygen = 15.999 Now calculate the molar mass of ethylene glycol m = 2 * 12.0107 + 6 * 1.00794 + 2 * 15.999 = 62.06704 g/mol Since there's 2 oxygen atoms in a single molecule of c2h6o2, calculate the mass of those 2 oxygen atoms. m = 2 * 15.999 = 31.998 g/mol Finally divide the mass of the oxygen by the molar mass of c2h6o2. 31.998 / 62.06704 = 0.515539327 = 51.5539327% Since the lowest number of significant digits I have is for oxygen at 5, round the result to 5 significant figures, giving 51.554%

Compounds with very high vapor pressures must have very minimal intermolecular forces true or false

Answers

It's true. Compounds have very weak ones the higher the vapor pressure. Hope that answerd your question ☺️☺️

A 0.465 g sample of an unknown compound occupies 245 ml at 298 k and 1.22 atm. what is the molar mass of the unknown compound? answer: a 0.465 g sample of an unknown compound occupies 245 ml at 298 k and 1.22 atm. what is the molar mass of the unknown compound? 26.3 g/mol 81.8 g/mol 33.9 g/mol 38.0 g/mol 12.2 g/mol

Answers

We know that PV = nRT is the ideal Gas equation.

P = 1.22 atm.
V = 245 ml = 0.245 L
n = 0.465/M and M=molar mass
R = 8.314 J/Kmol = 0.08206 Latm / K mol
T = 298 K

So, putting in the equation:
1.22 * 245/1000 = 0.465/M * 0.08206 * 298
M =  38.677 g/mol
Final answer:

Determine the molar mass of an unknown compound by rearranging the ideal gas law to solve for the number of moles and then dividing the sample mass by the number of moles.

Explanation:

You calculate the molar mass of a gas with the concept that at a consistent temperature and pressure, the molar volume of a gas is constant. The ideal gas law (PV = nRT), where P is pressure, V is volume, n is the number of moles, R is the gas constant, and T is temperature, can be used under these conditions. Rearranging the equation and substituting molar mass for mass and number of moles gives you an equation to calculate molar mass.

First, convert volume from milliliters to liters, so 245 ml becomes 0.245 L. Using R as 0.0821 (atm L)/(mol K), the equation will yield the number of moles of the gas. Now, divide the given sample mass (0.465 g) by the calculated number of moles to obtain the molar mass. The correct choice among 26.3 g/mol, 81.8 g/mol, 33.9 g/mol, 38.0 g/mol, 12.2 g/mol is calculated through the steps described above.

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Of the pigments that were soluble in the solvent, which pigment is the most polar? yellow, red, purple, blue

Answers

Plants contain different pigments like chlorophylls (greens), carotenoids(yellow, red), anthocyanins(blue). Of all the pigments the yellow pigments that are carotenoids are the most polar pigments. These pigments play an important role in plant health. The foods containing these pigments give major protective health benefits.

How many moles of chlorine are in 6.67X10^40 chlorine molecules

Please put in scientific notation

Answers

To solve for the number of moles, we simply have to use the Avogadros number which states that there are 6.022 x 10^23 molecules per mole. Therefore:

 

number of moles = 6.67 X 10^40 chlorine molecules / (6.022 x 10^23 molecules / mole)

number of moles = 1.108 x 10^17 moles

Answer: 1.108 x 10^17

Explanation:

Explain why the quantum number set (3, 3, -2, +½) is not possible for an electron in a ground-state atom.

Answers

L = an integer from 0 to n-1 
mL = an integer from -L to +L 
ms = + or - 1/2 

the format is (n, L, mL, ms) 

so your 
n = 3... this is OK 
L = 2.. also OK.. if n=3, L can = 0, 1, or 2 
mL = -3 is NOT ok... if L=2.. mL can only be -2, -1, 0, +1, or +2 
ms = +1/2

How could you separate lauric acid from alpha naphthol?

Answers

The melting point for lauric acid is about 45 degrees while it is 121 degrees for naphthol. So, in a mixture repeated cycles of slow warming and cooling should separate out lauric acid from naphthol. We can improve the efficiency by adding a dash of slightly acidic 70% isopropyl alcohol. This will deprotonate the lauric acid while maintaining the proton on naphthol during this process to enhance separation and purification of the two compounds. We could also flat-out distill the two products by maintaining the temperature of the solution at the boiling point of lauric acid to separate it from naphthol. This might also be a good polishing method.
Final answer:

To separate lauric acid from alpha naphthol, solvent extraction can be used.

Explanation:

To separate lauric acid from alpha naphthol, one method that can be used is solvent extraction. Lauric acid is insoluble in water but soluble in organic solvents such as ether or ethanol, while alpha naphthol is soluble in water. By adding the mixture of lauric acid and alpha naphthol to an organic solvent, the lauric acid will dissolve in the solvent while the alpha naphthol remains in the water. After separation, the solvent can be evaporated to obtain the separated lauric acid.

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Could you separate a mixture of salicylic acid and aspirin by acid-base extraction? briefly justify your answer.

Answers

Both the salicylic acid and the aspirin contains the carboxylic acid groups. Yes, the mixture of salicylic acid and aspirin can be separated by using the acid-based extraction. To dissolve the aspirin you need to use NaOH and it can isolate the aqueous layer.

Under which circumstances is it wise to use a mixture of solvents to carry out a recrystallization

Answers

when it goes through high condensation process.

Which of the following is a product formed when K reacts with Cl2?

KCl
K2Cl
KCl2
K2

Answers

The answer is A. 
Which is... KCI

Answer: KCl

Explanation: Potassium [K]  has an atomic no of 19 and the electronic configuration is:

[tex]K :1s^22s^22p^63s^23p^64s^1[/tex] tends to get stable by losing one electron and forming [tex]K^+[/tex]

Chlorine [Cl] has atomic no of 17 and thus the electronic configuration is :

[tex]Cl :1s^22s^22p^63s^23p^5[/tex] tends to get stable by gaining one electron and forming [tex]Cl^-[/tex]

[tex]K^+[/tex] and [tex]Cl^-[/tex] attract each other and form an ionic bond. As we have a chlorine molecule that is two atoms of chlorine are present, 2 atoms of potassium will react to form 2 moles of KCl.

[tex]2K+Cl_2\rightarrow 2KCl[/tex]


Name one physical property that could be used to distinguish chlorine from oxygen

Answers

if its chlorine its yellow and it has a odor.
if its oxygen there's no smell or color.

How does the arrangement of particles in a gas differ from the arrangements in liquids and solids?

Answers

the arrangement of particles in a gas is random. they have no orderly arrangement and are free to move around while the particles in solid are in an orderly and rigid arrangement and cannot move about. particles in liquid are also arranged orderly but are not rigid

Ca3(PO4)2 + H2SO4 → CaSO4 + H3PO4

Balance this reaction if necessary

Answers

Ca3(PO4)2 + 3 H2SO4 = 3 CaSO4 + 2 H3PO4
Reaction type: double replacement

Ca3(PO4)2 + 3H2SO4 → 3CaSO4 + 2H3PO4

How does the number of hydrogen atoms compared to the number of oxygen atoms in each amino acid?

Answers

 A single Amino Acid contains 2 Oxygen atoms and 4 Hydrogen atoms plus the number of H and O in the R group. The final total largely depends on the R group (there are 20 different kinds) that is present in the amino acid, and each R group may vary in the number of Oxygen and Hydrogen atoms present.

The number of hydrogen atoms which are compared to the number of oxygen atoms in each amino acid because:

One amino acid contains 2 oxygen atoms and 4 hydrogren atoms

A hydrogen atom is an atom of hydrogen which contains one positively charged proton and a negatively charged electron and is held together by a nucleus.

As a result of this, when comparing the number of hydrogen atoms and the number of oxygen atoms, it is important to note that they have different number in the R group and each R group may be different in the number of atoms.

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Where do proteins get the energy to combine co2 and other compounds in the calvin cycle?

Answers

From the atmosphere
Hope this helps!

If an automobile travels 215 mi with a gas mileage of 20.5 mi/gal , how many kilograms of co2 are produced? assume that the gasoline is composed of octane, c8h18(l), whose density is 0.69 g/ml.

Answers

Thats a tough oelne there man

The reaction of excess oxygen with an unknown volume of hydrogen at 200 c yields 3.22 l of steam. what is the volume of the hydrogen -pressure

Answers

The pressure of the system is approximately 19.64 atm.

To solve this problem, we can use the stoichiometry of the reaction between hydrogen and oxygen to form water vapor (steam). The balanced chemical equation for this reaction is:

2H2 + O2 → 2H2O

From the equation, we see that 2 moles of hydrogen react with 1 mole of oxygen to produce 2 moles of water vapor.

First, we need to determine the number of moles of water vapor produced using the ideal gas law:

PV = nRT

Where:

P = pressure

V = volume (in liters)

n = number of moles

R = ideal gas constant (0.0821 L·atm/(K·mol))

T = temperature (in Kelvin)

Given:

P = pressure of the system (which we need to find)

V = volume of steam produced = 3.22 L

T = temperature = 200°C = 200 + 273.15 = 473.15 K

Let's find the number of moles of water vapor first:

n = PV / RT

Substitute the given values:

n = (P * 3.22) / (0.0821 * 473.15)

Now, since the reaction is 2 moles of hydrogen to 2 moles of water vapor, we can say that the number of moles of water vapor produced is equal to the number of moles of hydrogen that reacted.

So, the number of moles of hydrogen reacting is also 'n'.

Now, 2 moles of hydrogen occupy 2 times the volume of the water vapor. So, the volume of hydrogen can be calculated as follows:

Volume of hydrogen = (2 * n) liters

Now, we need to find the pressure of the system. We can use the ideal gas law again:

P = nRT / V

Substitute the values:

P = (n * 0.0821 * 473.15) / (2 * n)

The 'n's cancel out, leaving us with:

P = 0.0821 * 473.15 / 2

Now, let's calculate this.

P = (0.0821 * 473.15) / 2

P ≈ 19.64 atm

So, the pressure of the system is approximately 19.64 atm.

What must be done to carbon dioxide gas to change it to a solid

Answers

Cooling down of carbon dioxide must be done. The freezing point of carbon dioxide is 78.5°C, so in order to make it solid, you must cool it down to or under the freezing point.

The thing to be done to change carbon dioxide gas into a solid is to decrease the temperature till freezing point.

What is solid state?

The condition of matter in which materials are not fluid but maintain their boundaries without support, with atoms or molecules maintaining fixed places in relation to one another and unable to move freely.

For changing the gaseous state into the solid state, we have to increase the pressure of gas so that the molecules of gas come close to each other or by decreasing the temperature of gas so that toms get freeze to not move freely.

Hence, by decreasing the temperature to freezing point, carbon dioxide gas will change into a solid.

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Which best describes the mass realationships between protons, neutrons, and electrons?
A) electrons and neutrons are equal is mass but protons are much larger
B) protons and neutrons are relatively the same mass, whereas electrons are much lower in mass
C) protons and neutrons are basically of equal mass

Answers

B because protons and neutrons both weigh 1 amu whereas electrons weigh practically nothing.

Protons and neutrons are relatively the same mass, whereas electrons are much lower in mass.

What is the relationship between the mass of electron, proton, and neutron?

Protons and neutrons have an equal mass which is equal to 1.67262 × 10⁻²⁷ kg.

Whereas electrons have almost negligible mass. The mass of an electron is 1/1,836 of a proton.

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There is a "short-cut" to determining the number of valence electrons. how can you determine the number of valence electrons by just looking at the periodic table?

Answers

The number of valence electrons of elements in a group is the same as the group number

1. What unit would you use if you were measuring the average kinetic energy of a substance?


A) joules

B )calories

C) Celsius

D) Watts


2. Convert 5.8 km to the unit mm.


A) 0.0000058 mm

B) 0.0058 mm

C) 5,800 mm

D) 5,800,000 mm


3. The density of a sample of metal is calculated using these three different sets of data: 2.9 g/mL, 2.8 g/mL, and 3.0 g/mL. If the true density of the metal is 2.1 g/mL, what can be said about these calculated density values?


A) The set is both accurate and precise.

B) The set is accurate but not precise.

C) The set is precise but not accurate.

D) The set is neither accurate nor precise.


4. Which statement best represents scientific laws?

A) Scientific laws are statements that contain scientists' opinions of how the world works.

B) Scientific laws are factual statements that explain why certain natural phenomena occur.

C) Scientific laws are theories that have been tested, proven, and adopted as laws.

D) Scientific laws are descriptions of observed phenomenon, generally accepted as facts.


5. A Scottish chemist Thomas Graham observed and experimented with gas particles in the 1800s. He formulated a mathematical equation that describes the relationship between the mass of a gas molecule and its rate of effusion. This relationship is a.....


A) law because it describes what happens without explaining why.

B) law because it is based on mathematics.

C) theory because it describes a relationship.

D) theory because it is a description without an explanation.

Answers

Final answer:

Joules is the correct unit for measuring average kinetic energy of a substance, 5.8 km is equal to 5,800,000 mm, the density values mention precision but lack accuracy, scientific laws are descriptions of observed phenomena, and Graham's equation is a law based on description of what occurs.

Explanation:

The unit used for measuring the average kinetic energy of a substance is joules (A).

Converting 5.8 km to millimeters results in 5,800,000 mm (D).

The calculated density values of a metal sample (2.9 g/mL, 2.8 g/mL, and 3.0 g/mL) compared to the true density of 2.1 g/mL show that the set is precise but not accurate (C), as the measurements are close to each other but not to the true value.

A correct representation of scientific laws is that they are descriptions of observed phenomena, generally accepted as facts (D).

Thomas Graham's mathematical equation on the relationship between gas molecule mass and effusion rate is a law because it describes what happens without explaining why it happens (A).

The theory that the pressure of a gas increases as its volume decreases because molecules have to move a shorter distance to hit the container's walls falls under a microscopic description of chemical behavior, as it deals with the behavior of individual gas molecules.

Arrange the isotopes of sulfur and phosphorus in order of decreasing number of neutrons.
Rank the isotopes from most to fewest neutrons. To rank items as equivalent, overlap them.

Answers

I do not believe you're asking this...
OK. Sulfur has a total of 24 isotopes. Every isotope has 16 protons and the number of neutrons ranges from 10 to 33 inclusive.
Phosphorus has a total of 23 isotopes. They have 15 protons, and between 9 and 31 neutrons inclusive. So here we go.

S-49
S-48
S-47, P-46
S-46, P-45
S-45, P-44
S-44, P-43
S-43, P-42
S-42, P-41
S-41, P-40
S-40, P-39
S-39, P-38
S-38, P-37
S-37, P-36
S-36, P-35
S-35, P-34
S-34, P-33
S-33, P-32
S-32, P-31
S-31, P-30
S-30, P-29
S-29, P-28
S-28, P-27
S-27, P-26
S-26, P-25
P-24

If you're looking for STABLE isotopes, then the list is much smaller.
S-36
S-34
S-33
S-32, P-31

Answer:

Rank of the isotopes from most to fewest neutrons:

S-36, P-35

P-33

P-32

S-32, P-31

Explanation:

The following options are missing:

S-36

P-35

S-32

P-33

P-32

P-31

Sulfur has 16 protons then S-36  has 36 - 16 = 20 neutrons and S-32 has 32 - 16 = 16 neutrons.

Phosphorus has 15 protons, then  P-35 has 35 - 15 = 20 neutrons,  P-33 has 33 - 15 = 18 neutrons,  P-32 has 32 - 15 = 17 neutrons and P-31 has 31 - 15 = 16 neutrons.

Give an example of how each compound is used or found in nature. Be sure to use complete sentences.

Water-
Hydrogen-
Ammonia-
Carbon Dioxide-
Hydrogen Sulfide-

Thank you!

Answers

Water is found in lakes and rivers. Its purpose in nature is to hydrate animals

Hydrogen gas is not abundant in nature, but hydrogen is abundant in water. Hydrogen (bonds) help ice float. Otherwise, freezing lakes would kill animals (it actually doesn't since the ice creates a "coat" above the water").

Ammonia is nitrogen-rich molecules that plant uses to get their nitrogen. It comes from the part of the nitrogen cycle where dead plants and animals are decayed.

Carbon dioxide is what we exhale. Plants "inhale" carbon dioxide and use that for photosynthesis.

Hydrogen sulfide is emitted by volcanoes and by anaerobic (oxygen-less) decay from bacteria.

Have an awesome day! I hope this helps.

A water molecule is added to an atp molecule to break atp down into adp and a phosphate group. write the chemical equation for this reaction.

Answers

ATP + H2O ----->  ADP + Inorganic Phosphate + 7.3 Kcal mole/ATP energy

See the pic. for better visual.

On adding H2O, atp break down into adp and a phosphate group. The reaction is exothermic

The hydrolysis of ATP involves breaking it down into ADP, an inorganic phosphate, and energy using a water molecule. The chemical equation is ATP + H₂O → ADP + Pi + energy. This reaction releases energy necessary for cellular functions.

The reaction described is a hydrolysis reaction, where a water molecule is used to break down ATP. The chemical equation for this reaction is:

ATP + H₂O → ADP + Pi + energy

In this reaction:

ATP (adenosine triphosphate)H₂O (water)ADP (adenosine diphosphate)Pi (inorganic phosphate)

Hydrolysis releases the energy stored in the high-energy bonds between ATP's phosphate groups. ATP is like a rechargeable battery, where the breakdown into ADP and Pi releases energy needed for cellular processes, and can be regenerated back into ATP.

A theory that has been proven true repeatedly over time and never disproven is called ??

Answers

A theory that has been proven true repeatedly over time and never disproven is called a law
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