what is the weight, in grams, of 2 fl. oz. of a liquid having a specific gravity of 1.118?

Answers

Answer 1

The weight, in grams, of 2 fl. oz. of a liquid having a specific gravity of 1.118 is approximately 66.126 grams.

To calculate the weight of 2 fl. oz. of a liquid with a specific gravity of 1.118, first, we need to convert fluid ounces to milliliters and then find the mass in grams.

1 fl. oz. = 29.5735 mL
2 fl. oz. = 2 * 29.5735 mL = 59.147 mL

Specific gravity is the ratio of the density of a substance to the density of a reference substance (usually water). Since the specific gravity of the liquid is 1.118, its density is:

Density = Specific Gravity * Density of Water
Density = 1.118 * 1 g/mL = 1.118 g/mL

Now, to find the weight of the liquid in grams, we multiply the volume by the density:

Weight = Volume * Density
Weight = 59.147 mL * 1.118 g/mL = 66.126 g

So, the weight of 2 fl. oz. of the liquid with a specific gravity of 1.118 is approximately 66.126 grams.

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Related Questions

What does a chemical equation show that a word equation does not

Answers

Answer: I do believe it shows variables.

Explanation:

3. Order the following from closest to farthest away from Earth: The Moon, Edge of the Universe, Mercury, Hubble Galaxy, Pluto's Moon, Milky Way Galaxy. Closest to Earth / Farthest.​

Answers

The Moon, Mercury, Edge of the Universe, Milky Way Galaxy, Hubble Galaxy, Pluto's Moon. Closest to Earth/ Farthest.

Give a brief account on Universe?

The universe is the entirety of everything that exists, including all matter and energy, space and time, and the physical laws and constants that govern them. The known universe is thought to be made up of billions of galaxies, each containing billions of stars and planets. The universe is also thought to be expanding, with all the galaxies moving away from each other.

The current scientific understanding of the universe is based on the Big Bang theory, which suggests that the universe began as a singularity, an infinitely dense and hot point, about 13.8 billion years ago. From this singularity, the universe expanded and cooled, giving rise to the formation of matter, stars, galaxies and eventually, the emergence of life.

The universe is also thought to be filled with dark matter and dark energy, which are thought to make up the majority of the universe's mass and energy, respectively.

The universe is a vast and complex place, with much that remains unknown and mysterious. Scientists continue to study the universe through telescopes, satellites, and other observation tools to understand more about its origins, structure and evolution.

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stu dent has a large sample of a unknown solid material that is to big to fit into a graduated cylinder. he knows that it will not dissolve or chemically react with water and he must find the density. he uses an overflow tank and collects 145 mL of water. the mass of the solid is 975 g. what is the density

Answers

The density of the solid is  6.724 g/ml.

Density is the number of factors which can be people, animals, vegetation, or objects in a sure place. To calculate density, you divide the number of objects by the dimension of the place. The populace density of a rustic is the wide variety of human beings in that us of a divided by means of the location in square kilometers or miles.

The density of an amount to being counted is its mass divided by means of its quantity. it also includes measured at zero °C and at 1 atmosphere of stress. Density is vital in figuring out the buoyancy of materials in fluids, as well as in evaluating materials and other measurements.

The density of an object is certainly one of its maximum crucial and easily-measured physical properties. Densities are extensively used to perceive natural substances and to represent and estimate the composition of many varieties of combos.

density = mass/ volume

      = 975g/145ml

      = 6.724 g/ml

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Calculate the volume occupied by 32. 0 g of O2 gas, the pressure of the O2 gas is 78. 5 kPa at 25°C

Answers

Answer:

31.5 L

Explanation:

Simply use PV=nRT

Convert kPa  to atm by using 101.3 kPa = 1 atm

78.5 kPa x (1 atm/101.3 kPa) = .775 atm

Then find moles of O2 where MM = 32 so we have 1.0 moles

Find T in Kelvin = C +273 = 25 + 273 = 298

(.775 atm)(V) = 1.0 moles(0.082 atm x L / mol x K)(298 K)

V = 31.5 L

True or false? A metal will always be produced at one electrode during electrolysis.

Answers

Yes, a metal will always be produced at one electrode during electrolysis.

What is electrode?

An electrode is an electrical conductor used to make contact with a nonmetallic part of a circuit.

An electrode can be anode or cathode. During electrolysis, that is , the decomposition of a chemical compound by electricity, a metal will be deposited at the cathode.

Thus, a metal will always be produced at one electrode during electrolysis.

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Answer: FALSE

Explanation: Often, gases rather than metals form at electrodes, especially if it involves the electrolysis of a solution.

Modern atomic theory states that atoms are neutral. How is this neutrality achieved? (3 points) Select one: a. Equal number of neutrons and protons b. Equal number of protons and electrons c. More electrons than protons d. More neutrons than electrons

Answers

Answer:

The answer is option B.

Equal number of protons and electrons

Hope this helps you

Answer:

equal number of electrons and protons

Explanation:

electron is negatively charged and proton is positively charged for an atom to stay neutrality # of electrons and protons must be equal.

Atoms of which two elements have a combined total of 23 protons?
A.Sodium, Na, and magnesium, Mg
B.Boron, B, and carbon, C
C.Copper, Cu, and zinc, Zn
D.None of these

Answers

Answer:

A

Explanation:

Sodium has 11 electrons and Magnesium has 12 electrons. Since here you need to consider atoms, they must have equal amount of protons as electrons to be considered neutral, and so an atom.

So simply 11+12 =23

how to make crystals of sodium chloride without putting sodium into hydrochloric acid

Answers

Answer:

• Reacting aqueous Sodium hydroxide solution with Magnesium chloride.

Explanation:

\({ \rm{2NaOH _{(aq)} + MgCl _{2(s)} \: \dashrightarrow \: 2NaCl _{(s)} + Mg(OH)_{2(aq)} }}\)

Answer:

Sodium hydroxide solution + Magnesium chloride = sodium chloride crystals

Explanation:

*
1. Which of the following correctly represents an element?
H20 - Water
NaCl - Sodium Chloride
о O
H - Hydrogen

Answers

Answer:

H20 because u can touch it

An option that correctly represents a chemical element is known as hydrogen. Thus, the correct option for this question is D.

What is a Chemical element?

A chemical element may be defined as a type of substance that can't be broken down into its simpler form by non-nuclear reactions. It is generally composed of a species of atoms that have a given number of protons in their nuclei.

According to the context of this question, water is a compound because it is made up of water molecules. Water molecules are made up of atoms of hydrogen and oxygen. Sodium chloride is also a chemical compound because it is also made of atoms of sodium and chlorine.

Therefore, an option that correctly represents a chemical element is known as hydrogen. Thus, the correct option for this question is D.

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As water is cooled, its density increases until it reaches about
A. 4°C
B. 25°C
C. O'C
D. -2°C

Answers

About 4 C to for water density until it is cooled

Consider four elements from Group 17: fluorine in the second period, chlorine in the third period, bromine in the fourth period, and iodine in the fifth period. Which element has the largest first ionization energy? A. fluorine B. chlorine C. bromine D. iodine E. You need more data to predict the first ionization energy of these elements.

Answers

Answer:

A. Fluorine

Explanation:

I got it right on Plato.

Bases are sharp and sweet in taste.
TRUE
FALSE

Answers

True bases are usually sweeter

Which statement best describes the process of Condensation___________. *

gas turns to liquid
gas turns to solid
liquid turns to gas
solid turns to gas

Which statement best describes the process of Condensation___________. *gas turns to liquidgas turns

Answers

A gas turns to liquid
Liquid turn to gas
Trust me mwah

A balloon contains 2.0 L of air at 101.5 kPa. you squeeze the balloon to a volume of 0.5 L. what is the pressure of air inside the balloon?"

A. 13 kPa
B. 101 kPa
C. 406 kPa
D. 812 kPa

Answers

Answer:

C

Explanation:

view the Attached photo i added to see how i got that answer

A balloon contains 2.0 L of air at 101.5 kPa. you squeeze the balloon to a volume of 0.5 L. what is the

are plants and animals ph sensitive?​

Answers

Answer:

yes, they are ph sensitive

Explanation:

Plants and animals are known to show growth sensitive to pH. pH is known as the hydrogen ion concentration of a solution. For example, plants are known to be growth sensitive to the pH of the soil. Plants need an optimum pH of soil for their growth, hence, showing growth dependence on soil pH.

Plants and animals are known to show growth sensitive to pH. pH is known as the hydrogen ion concentration of a solution. For example, plants are known to be growth sensitive to the pH of the soil. Plants need an optimum pH of soil for their growth, hence, showing growth dependence on soil pH.

The amount of water leaking from a water tank can be modeled with the function f(x) = −x3 − 10x2 − x 120, where x measures the number of minutes since the leak began and f(x) measures the volume of the tank. during what time period is there water in the tank? (−[infinity], −8) ∪ (−5, 3) (−[infinity], −8] ∪ [−5, 3] (0, 3) (0, 3]

Answers

The time period during which there is water in the tank can be described as (-∞, -8) ∪ (-5, 3). This means that there is water in the tank before 8 minutes have passed since the leak began and between 5 and 3 minutes before the present time.

The given function f(x) = -x^3 - 10x^2 - x + 120 represents the volume of water in the tank at a given time x (measured in minutes since the leak began). To determine the time period during which there is water in the tank, we need to find the values of x for which f(x) is greater than zero.

By analyzing the function and its graph, we can observe that f(x) is positive for values of x in the intervals (-∞, -8) and (-5, 3). This means that before 8 minutes have passed since the leak began and between 5 and 3 minutes before the present time, the volume of the tank is positive, indicating that there is water in the tank during those time periods.

Therefore, the time period during which there is water in the tank is (-∞, -8) ∪ (-5, 3).

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why is OH on the outside of the lewis structure for methanol?

Answers

In the Lewis structure of methanol (CH3OH), the OH group is placed on the outside because it is an important functional group that influences the chemical properties and reactivity of the molecule.

The Lewis structure is a representation of a molecule that shows the arrangement of atoms and valence electrons. In methanol, carbon (C) is the central atom bonded to three hydrogen (H) atoms and one oxygen (O) atom. The oxygen atom forms a single bond with carbon and also has two lone pairs of electrons.

The placement of the OH group (hydroxyl group) on the outside of the Lewis structure is significant because it determines the chemical behavior of methanol. The OH group consists of an oxygen atom bonded to a hydrogen atom and represents the presence of an alcohol functional group.

In organic chemistry, functional groups are specific arrangements of atoms within a molecule that give rise to characteristic chemical reactions and properties. The presence and position of functional groups can greatly influence the behavior and reactivity of a compound. In the case of methanol, the hydroxyl group provides the molecule with its characteristic properties.

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For the following example, identify the following. 2 Cl2O(g) + 2 C12(g) + O2(g) O at low temperature, the reaction is spontaneous and AG <0 and at high temperature, the reaction is spontaneous and AG < 0 at low temperature, the reaction is nonspontaneous and AG >0 and at high temperature, the reaction is spontaneous and AGO at low temperature, the reaction is spontaneous and AG <0 and at high temperature, the reaction is nonspontaneous and AG > O at low temperature, the reaction is nonspontaneous and AG >0 and at high temperature, the reaction is nonspontaneous and AG > 0 It is not possible to determine without more information.

Answers

The given example shows the reaction between 2 Cl2O(g), 2 C12(g), and O2(g). The spontaneity of the reaction is determined by the value of Gibbs free energy (AG). At low temperature, the reaction is spontaneous with AG<0, which indicates that the reaction can occur without any external energy.

This is because the reactants have a lower energy state than the products. At high temperature, the reaction is also spontaneous with AG<0, indicating that increasing the temperature increases the rate of reaction. However, at low temperature, the reaction is nonspontaneous with AG>0, meaning that external energy is required for the reaction to occur. This is because the products have a lower energy state than the reactants. Finally, at high temperature, the reaction is also nonspontaneous with AG>0, suggesting that increasing the temperature does not favor the reaction. Temperature plays a crucial role in determining the spontaneity of the reaction by affecting the energy of the reactants and products.

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2. What percentage of the offspring
will have the red flowers?

Answers

Answer:

1/4 of the offspeing will have the red flowers

Calculate the [H+], pOH, and [OH-] for the following solutions: SHOW WORK And put Answers for concentration[ ] in scientific notation. ( see video for help)
pH 2.90 (the approximate pH of lemon juice



pH 3.86 (the approximate pH of sauerkraut)


pH 10.81 (the approximate pH of milk of magnesia)



pH 4.11 (the approximate pH of orange juice)



pH 11.61 (the approximate pH of household ammonia)



The pH of human blood ranges from 7.35 to 7.45 with it usually being around 7.40. If the blood pH gets below 7.35 a person goes into acidosis. If the pH gets above 7.45 a person goes into alkalosis. Both acidosis and alkalosis can be fatal. How much more acidic is a person’s blood if it has a pH of 7.3 compared to its preferred 7.4? How much more alkaline is a person’s blood if it has a pH of 7.6 rather than its preferred 7.4?

Answers

Answer:

Explanation:

pH = -log{H+]

{H+} = 10^(-pH)

pOH = 14 - pH

{OH-} = 10^(-pOH)

pH 2.90 (the approximate pH of lemon juice

{H+} = 10^(-2.9)

pOH = 14 - 2.9 = 11.1

{OH-} = 10^(-pOH) = 10^(-11.1)

 

pH 3.86 (the approximate pH of sauerkraut)

{H+} = 10^(-3.86)

pOH = 14 - 3.86 = 10.14

{OH-} = 10^(-pOH)  = 10^(-10.14)

pH 10.81 (the approximate pH of milk of magnesia)

{H+} = 10^(-10.81)

pOH = 14 - 10.81 = 3.19

{OH-} = 10^(-pOH) = 10^(-3.19)

pH 4.11 (the approximate pH of orange juice)

{H+} = 10^(-4.11)

pOH = 14 - 4.11 = 9.89

{OH-} = 10^(-pOH) = 10^(-9.89)

 

pH 11.61 (the approximate pH of household ammonia)

{H+} = 10^(-11.61)

pOH = 14 - 11.61 = 2.39

{OH-} = 10^(-pOH)  = 10^(-2.39)

After you mix about 1.5 mL of 6.0M hydrochloric acid (HCl) with aqueous layer, you observe precipitate coming out of the solution. The precipitate is ______ .

Answers

When 1.5 mL of 6.0M hydrochloric acid is mixed with an aqueous solution of silver nitrate (AgNO3), the precipitate that will come out of the solution is silver chloride (AgCl)

After you mix about 1.5 mL of 6.0M hydrochloric acid (HCl) with aqueous layer, the precipitate that will come out of the solution is AgCl. In this reaction, silver ions present in the aqueous solution will combine with chloride ions present in hydrochloric acid to form silver chloride precipitate AgCl.

AgNO3 + HCl ⟶ AgCl↓ + HNO3

Here, AgCl is an insoluble solid, so it is seen as a precipitate (a solid that settles out of a liquid mixture) when HCl is added to the aqueous solution of AgNO3 (silver nitrate).

This reaction is an example of a precipitation reaction where a solid is formed from two soluble compounds. The formation of AgCl precipitate confirms the presence of chloride ions in the sample. This reaction is widely used in qualitative analysis to detect the presence of chloride ions in an unknown sample. Moreover, silver chloride is also used in the photographic industry, as it is sensitive to light and can be used to create photographic prints.

When 1.5 mL of 6.0M hydrochloric acid is mixed with an aqueous solution of silver nitrate (AgNO3), the precipitate that will come out of the solution is silver chloride (AgCl). This reaction is an example of a precipitation reaction where a solid is formed from two soluble compounds. Silver chloride is an insoluble solid that is widely used in qualitative analysis to detect the presence of chloride ions in an unknown sample.

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A flask containing a volume of 180 L of bromine was collected under a pressure of 35.5 kPa. What pressure would have been required for the volume of the gas to have been 80.0 L, assuming the same temperature? Which gas law did you need to use?

Answers

Answer:

P₂ = 80 KPa

Boyle's law is applied.

Explanation:

Given data:

Initial volume = 180 L

Initial pressure = 35.5 KPa

Final pressure = ?

Final volume = 80.0 L

Solution:

The given problem will be solved through the Boyle's law,

"The volume of given amount of gas is inversely proportional to its pressure by keeping the temperature and number of moles constant"

Mathematical expression:

P₁V₁ = P₂V₂

P₁ = Initial pressure

V₁ = initial volume

P₂ = final pressure

V₂ = final volume  

Now we will put the values in formula,

P₁V₁ = P₂V₂

35.5 KPa × 180 L = P₂ × 80.0 L

P₂ = 6390 KPa. L/ 80.0 L

P₂ = 80 KPa

Which of the following will only affect the reaction rate of gases?
A. Concentration
B. Catalyst
C. Pressure
D. Surface area

Answers

Answer:

D. Pressure

Explanation:

The rate of a reaction is defined as the speed at which the reactants are converted into products. Factors influencing the rate of a reaction are concentration, catalyst, temperature, surface area,  and pressure, etc.

In case of the reaction rate of gases, pressure will only have its affect as pressure do not have any influence on solid and liquid.

While concentration, surface area and catalyst influence all reaction rates including solid, liquids and gases.

Hence, the correct option is (d) pressure.

Three elements in the same period are listed in order of decreasing atomic radius. Which of the following is an appropriate explanation for the non-metal in the list having the smallest atomic radius

Answers

The appropriate explanation for the non-metal is that the higher effective nuclear charge less will be the atomic radius.

Atomic radius typically decreases during a period from left to right. There are a few little outliers, such how the oxygen radius is a tiny bit bigger than the nitrogen radius. Protons are gradually added to the nucleus at the same time that electrons are gradually added to the main energy level. The enhanced positive charge of the nucleus gradually attracts these electrons closer to it. The size of the atoms shrinks as the strength of attraction between nuclei and electrons grows. Due to electron-electron repulsions that would otherwise result in the atom's size expanding, the effect becomes less pronounced as one proceeds further to the right in a period.

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which of the following are strong electrolytes? hcl hc2h3o2 nh3 kcl group of answer choices hcl, hc2h3o2, nh3, kcl hc2h3o2, kcl hcl, kcl hcl, nh3, kcl hcl, hc2h3o2, kcl

Answers

The strong electrolytes among the given choices are HCl, HC2H3O2, and KCl.

In the given options, HCl and KCl are both ionic compounds. They contain a cation (H+ or K+) and an anion (Cl-). When these compounds dissolve in water, the ions get separated and move freely in the solution. Therefore, HCl and KCl completely dissociate into ions and are strong electrolytes.

On the other hand, HC2H3O2 (acetic acid) and NH3 (ammonia) are weak electrolytes. They partially dissociate into ions and also exist in the molecular form in the solution. Therefore, they are not strong electrolytes. In conclusion, HCl, HC2H3O2, and KCl are the strong electrolytes among the given choices.

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if heat was lost from the calorimeter while the ice was melting, how would the molar heat of fusion change?

Answers

If heat was lost from the calorimeter while the ice was melting, the measured value of the molar heat of fusion would be lower than the true value.

This is because some of the heat that is released when the ice melts would be absorbed by the surroundings (including the calorimeter and the air), instead of being used to heat up the water in the calorimeter.

The molar heat of fusion is defined as the amount of heat required to melt one mole of a substance at its melting point, with no change in temperature. It is usually determined experimentally using a calorimeter, which is an insulated container that can measure changes in temperature and heat flow.

In the experiment to measure the molar heat of fusion of ice, a known mass of ice is added to a calorimeter containing a known mass of water at a higher temperature. The heat released by the melting ice is absorbed by the water, causing it to cool down. By measuring the change in temperature of the water, the amount of heat released by the melting ice can be calculated, and from this, the molar heat of fusion can be determined.

If some of the heat released by the melting ice is lost to the surroundings, the measured value of the heat released will be lower than the true value, and hence the calculated molar heat of fusion will also be lower than the true value. To obtain a more accurate value of the molar heat of fusion, the heat loss from the calorimeter should be minimized by insulating the calorimeter and conducting the experiment in a thermally stable environment.

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a sample of hydrogen gas is contained in a balloon. the volume of the balloon is 2.15 l at 15 oc. the temperature is changed until the volume of the balloon is 3.25 l. what is the new temperature of the gas in oc? assume that the pressure remains constant.

Answers

162.35 degree celcius is the new temperature of the gas in oc.

What is ideal gas law ?

The ideal gas law (also called the perfect gas law), the relationship between the pressure P, volume V, and temperature T of a gas in the boundary region between low pressure and high temperature. Gas molecules move almost independently. each other.

PV = nRT, where n is the number of moles of gas and R is the universal (or perfect) gas constant, 8.31446261815324 joules/kelvin/mol (the universal gas constant is defined as Avogadro's number NA multiplied by Boltzmann's constant k) . ) In the International System of Units, energy is measured in joules, volume in cubic meters (m3), force in newtons (N), and pressure in pascals (Pa). where 1 Pa = 1 N/m2. A force of 1 Newton moving a distance of 1 meter does 1 Joule of work. Therefore, the dimension of both products PV and nRT is work (energy).

Pressure is constant

V1T2 =V2T1

T2=V2T1/V1=162.35 degree C.

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PLEASE HELP ME RIGHT ANSWERS ONLY!!!!!!! 40 POINTS :)
What does the result table indicate about the solute in this solution

PLEASE HELP ME RIGHT ANSWERS ONLY!!!!!!! 40 POINTS :)What does the result table indicate about the solute

Answers

The result table indicate that A. The solute is a SOLID because it has a DECREASE in the amount dissolved as temperature decreases.

What is describes solubility?

The solubility of a solid solute in a liquid solvent generally decreases as the temperature decreases. This is because the kinetic energy of the solute molecules decreases as the temperature decreases. As the kinetic energy of the solute molecules decreases, they are less likely to have enough energy to escape from the solution and enter the gas phase.

In the table, as the temperature decreases, the concentration of the solute in the solution decreases. This indicates that the solute is a solid and that the solubility of the solute decreases as the temperature decreases.

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Use your knowledge of bonding and mechanisms to explain why:a. Alkenes are more reactive than alkanes

Answers

Alkenes are hydrocarbons that contain a double carbon bond, whereas alkanes are hydrocarbons that only have single carbon-carbon bonds.

The reason why alkenes are more reactive than alkanes is that the double bond has a very high electron density in comprarison to the single bond of the alkanes. This double bond is made up of one very strong σ bond and a weak π bond.

So generally alkenes react breaking the π bond.

A balloon containing 2.6 mol hydrogen has a volume of 3.9 l. more hydrogen is added to the balloon, giving it a volume of 17.1 l. how many moles of hydrogen were added? show your work.

Answers

21 L moles of hydrogen were added because hydrogen may make many metals, particularly the carbon steel often used in gas pipes, brittle.

Where may hydrogen be found?

Hydrogen is still a characteristic of something like the sun or most stars; it also makes up the bulk of Jupiter. Hydrogen in the form of water is the type of hydrogen that is most prevalent on Earth. It is a gas that is only very weakly presence in the atmosphere, with a physical concentration compared with fewer than 1 part per million.

H2 or H2o: which is hydrogen?

Hydrogen, with a molecular concentration of 1, is represented by the chemical formula H2. That lightest material is hydrogen, symbol H, which has atomic number one. The gas, which has the chemical formula H2, is extremely flammable, tasteless, and white.

Briefing:

V₁/n₁  =  V₂/n₂

3.9 L / 2.6 mol =  V₂/ 14 mol

V₂ =3.9 L × 14 mol  / 2.6 mol

V₂ = 54.6 L /2.6

V₂ = 21 L

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a system that permits payments such as deposits or withdrawals to be made to and from a bank account by magnetic computer tape Typically, the cost of lost sales ________ as more distribution centers are added to the supply chain network. What are the international environmental agreements to which the United States is currently a party? Which of the following are challenges facing direct marketers in global markets today?1. Countries with less reliable and secure mail systems.2. Countries with mandatory "opt-in" requirements.3. Lack of credit and credit cards in different parts of the world. sport programs created for young people who are described as at risk often claim to focus on development but the primary focus is on:_____. BRO ILL GIVE U 100 POINTS BRO PLEASEThe local gym holds two 45-minute workout sessions and four 30-minute sessions each week. Judy attended all of the sessions this week but left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions. How many total minutes did Judy work out for the week? g draw a sketch of a eukaryotic gene and its mrna transcript, indicating the location of each of these features: in the dna: core promoter region, transcription start site (tss), exons, introns, 5' and 3' utrs in the processed mrna: start and stop codons, 5' and 3' utrs, cap, poly(a) ta The Smoot-Hawley Tariff Act of 1930 has generally been associated witha. falling tariffs.b. increases in the volume of trade.c. intensifying the worldwide depression.d. efforts to liberalize nontariff trade barriers. Which is a rational number? -15/4-7/94 with a rational sign?pi What are the environmental and economicaluses of soil? g what is the present value of the following cash-flow stream if the interest rate is 12%? you receive 900 at the end of first year, 100 at the end of second year, and 640 at the end of third year. (12% is annual interest rate and given annual compounding) [please round your answer to the nearest whole number] Find r, T, N, and B at the given value of t. Then find the equations for the osculating, normal, and rectifying planes at that value of t. r(t) = (cos t)i + (sin t)j - 5k, t = pi/2 r(pi/2) = (0)i + (1)j + (-5)k (Type exact answer, using radicals as needed.) T(pi/2) = (-1)i + (0)j + (0) k (Type exact answer, using radicals as needed.) N(pi/2) = (0)i + (-)j + (0)k (Type exact answer, using radicals as needed.) B(pi/2) = (0)i + (0)j + (1)k (Type exact answer, using radicals as needed.) Choose the correct equation for the osculating plane at t = pi/2. -y = -1 -x = 0 z = -5 Squareroot 3/2 x + 1/2 y = 5 Read "The Lottery" by Shirley Jackson and think about the various points of view within the story. Then, write your own Narrative from the of an Hourperspective of a child spectator during the lottery. You can either write as a child whose parent has been chosen, or merely a bystander. Be sure to make it clear who you chose.must be at least a page and can be in MLA format if needed. Which of the following is not a reason that cane toads became an invasive species Australia?A. they are poisonous to most animalB. They are voracious predatorsC. They have almost no natural predators D. They are not well adapted to the Australian climate adarsh subbaswamy and suchi saria. counterfactual normalization: proactively addressing dataset shift and improving reliability using causal mechanisms. arxiv preprint arxiv:1808.03253, 2018. since the beginning of californias "top-two" primary system in 2010, the vast majority of legislative races in california feature candidates from the same party. Two friends are to meet at the library. Each independently and randomly selects an arrival time within the same one-hour period. Each agrees to wait a maximum of fifteen minutes for the other to arrive. What is the probability that they will meet What function do lymph nodes, lymphatic vessels, and lymph perform for the body when they work together? A. Absorbing oxygen through thin-walled vessels B. Releasing hormones that travel to other tissues C. Collecting substances that leak out of small blood vessels D. Breaking down nutrients from digested foods 5. Granny Goodwitch boards a bus at the local shopping center. The bus travels anaverage speed of 30 miles/hour. It takes her bus 11.5 minutes to complete the tripto the bus terminal. Along the way the bus makes 13 stops at 30 seconds a stop.How far is the local shopping center from the bus terminal? if the spring pushes the block up the incline, what distance, l in meters, will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.