At 25 ∘C∘C calculate the pHpH of a solution in which [H3O+]=9.5×10−9M[H3O+]=9.5×10−9M.Express your answer to two decimal places.

Answers

Answer 1

Hydrogen ion concentration (pH) of 9.5×10⁻⁹ M at 25°C, was found to be approximately 8.02.

The principles of acids and bases are fundamental to chemistry. A base is a material that can accept a proton (H+), whereas an acid may donate a proton to another chemical. The acidity or basicity of a solution is determined by the amount of hydrogen ions (H+) present in it. The pH scale, which has values ranging from 0 to 14, is used to determine this concentration. An acidic solution is one that has a pH under 7, and a basic solution has a pH over 7. A pH of 7 indicates a neutral solution. To calculate the pH of a solution at 25°C with a [H₃O⁺] concentration of 9.5×10⁻⁹ M, use the formula:
pH = -㏒₁₀([H₃O⁺])
Substitute the given concentration into the formula:
pH = -㏒₁₀(9.5×10⁻⁹)

After calculating, you'll find that the pH is approximately 8.02. So, the pH of the solution is 8.02 (rounded to two decimal places).  This means that the solution is slightly basic, as its pH is greater than 7.

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Related Questions

Watch the video of Norman. What type of energy transformation is happening?

Norman sliding his foot across the floor.



A Electrical energy is created by friction when his foot slides across the floor.

B The mechanical energy of his foot moving across the floor is transformed into chemical energy.

C When his foot is sliding across the floor, it creates heat energy through friction.

D When his foot rubs against the floor, the energy of motion changes into light energy.

Watch the video of Norman. What type of energy transformation is happening?Norman sliding his foot across

Answers

Norman sliding his foot across the floor would create heat energy through friction (C)

When a person is sliding on the floor, the foot would rub against the floor. The process would result in friction between the feet and the floor.

In addition to that, the potential energy (resting energy) is getting converted to kinetic energy (energy resulting from motion). The difference between the energy of an object at resting state and motion would result in production of heat energy. This is caused mainly due to friction.

Thus, when Norman’s foot is sliding across the floor, it would create heat energy through friction.

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which subctant will not conduct electricity a Aluminium b copper c plastic d steel​

Answers

Answer:

plastic

Explanation:

plastic doesn't conduct electricity

whos Tryna exchange photos
email me jjoosshhuuaallaaww G m a il

Answers

another email one??

Answer:

?????????

Explanation:

according to modern understanding, protons and neutrons are each composed of ______.

Answers

According to modern understanding, protons and neutrons are composed of elementary particles called quarks

Quarks are elementary particles that are considered to be the fundamental building blocks of matter. They are classified into different types or ""flavors"": up, down, charm, strange, top, and bottom.

A proton consists of two up quarks and one down quark, while a neutron consists of two down quarks and one up quark. These quarks are held together by the strong nuclear force, which is mediated by particles called gluons. The interaction between the quarks and gluons gives rise to the overall properties and behavior of protons and neutrons.

It is important to note that quarks are never observed in isolation but are always found in combinations known as hadrons. Protons and neutrons are examples of hadrons, specifically baryons, which are composed of three quarks. The up and down quarks are the lightest quarks and are stable under normal conditions, making them the predominant constituents of protons and neutrons.

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A sample of chromium oxide is 76.5hromium by weight. what is the simplest formula of the oxide?

Answers

CrO and Cr₂O₃ make up the simplest chromium oxide formula.

What name does Cr₂O₃ use?

Chromium oxide (Cr₂O₃)sometimes referred to as chromium sesquioxide or chromic oxide, is a compound in which chromium is oxidized to a +3 state. Sodium dichromate is calcined with either carbon or sulfur to produce it.Eskolaite, a mineral that bears the name of the Finnish geologist Pentti Eskola, is a kind of chromium oxide green that may be found in nature. The metallic glassy green surface of this unusual material has an unsettling moss-like look that may be used to conceal oneself in the environment.Studies on humans have conclusively shown that chromium (VI) breathed is a potential carcinogen, increasing the likelihood of developing lung cancer. According to animal studies, chromium (VI) exposure by inhalation can result in lung cancers.

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Ms. Clark added a spoonful of baking soda and then poured a little vinegar into the cup. We observed fizzing and bubbling. Based on what we saw or observed, we decided that a new substance was formed by mixing the baking soda and vinegar. How do we know that? O A gas formed. o It was magnetic. It was a conductor. o It was hot. 0 It changed colors to pink.​

Answers

Answer:

we know that it was the vinegar and baking soda because gas had been created, the gas was held within the bubbles. the gas that was created was called Carbon Dioxide or CO2

How many aluminum atoms are in 2.26 g of aluminum?

Answers

Answer:

Aluminum atoms are in 3.78 g of aluminum

02214076x10^23)8.4367659370640769254888x10^22 atoms, therefore there are 8.4367659370640769254888x10^22 atoms of Aluminum(Al) present in 3.78 grams of Aluminum(Al).

Explanation:

PLEASE HELP!!!!
Which bond would be the least polar?
1) H-Br (hydrogen-bromine)
2) H-F (hydrogen-fluorine)
3) H-H (hydrogen-hydrogen)
4) H-O (hydrogen-oxygen)

Answers

Answer:

\(\boxed {\boxed {\sf 3. \ H-H}}\)

Explanation:

To determine the polarity of a bond, we use the electronegativities of the individual atoms. The greater the difference, the more polar the bond.

1. H-Br

Hydrogen: 2.2 Bromine: 3.0

3.0-2.2=0.8

2. H-F

Hydrogen: 2.2 Fluorine: 4.0

4.0-2.2=1.8

3. H-H

Hydrogen: 2.2

2.2-2.2=0.0

4. H-O

Hydrogen: 2.2Oxygen: 3.4

3.4-2.2=1.2

As we can see, the lowest difference is in hydrogen hydrogen at 0.0. You may also recognize that because they are 2 atoms of the same element, the electronegativity is the same for both, so it will equal 0. Since the electronegativity is 0, this is a nonpolar bond.

How many moles are in 525 g of ammonia, NH3?
8940.75 M
0.03 M
30.83 M

Answers

Answer:

30.83 M

Explanation:

17.03052 re in one mole. So, if you multiply it by 30.83, you will get 535 g of ammonia.

In fact, the detailed answer is 30.827009392549122.

how do i solve this with showing all work

how do i solve this with showing all work

Answers

0.750 tsp of baking soda in grams would be  4.49 grams.

Dimensional analysis

From the available information:

1 tsp of baking soda = 0.211 oz1 oz = 28.35 grams

If, 1 tsp of baking soda = 0.211 oz, then 0.750 tsp of baking soda would be:

 0.750 x 0.211 = 0.15825 oz

Thus, 0.750 tsp of baking soda is equivalent to 0.15825 oz of baking soda.

If 1 oz = 28.35 grams, then 0.15825 oz of baking soda will be:

28.35 x 0.15825 = 4.49 grams

In other words, 0.750 tsp of baking soda would be worth 4.49 grams of baking soda going by the available conversion factors.

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How many grams of lioh are needed to make 100 ml of a 0.1 m solution?

Answers

0.24 g of LiOH are needed to make 100 ml of a 0.1 m solution.

What is LiOH?

Lithium hydroxide (LiOH), commonly obtained by the reaction of lithium carbonate with lime, is used in making lithium salts (soaps) of stearic and other fatty acids; these soaps are widely used as thickeners in lubricating greases.

Lithium hydroxide is an inorganic compound with the formula LiOH. It can exist as anhydrous or hydrated, and both forms are white hygroscopic solids. They are soluble in water and slightly soluble in ethanol. Both are available commercially.

LiOH (Lithium hydroxide) is a base. It is because it releases OH– (hydroxide-ion) in water. According to theories, a substance that can accept a proton or donate electrons or react with acid is classified as a base. LiOH reacts with strong acid HCl that produce LiCl and water.

Determination of mass of LiOH required:

The molarity of LiOH is 0.1M

The given volume is,

M = W1 × 1000/m1 × V(ml)

m1 = molecular mass of LiOH = 24

putting the values in the previous equation,

0.1 = W1 × 1000/24 × 100

W1 = 0.1 × 24 ×100/1000

⇒ 0.24 grams of LiOH is required.

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Calculate the atomic mass of an element if 60.4% of the atoms have a mass of 68.9257 amu and the rest have a mass of 70.9249 amu. Identify the element in the periodic table.

Answers

Answer

Explanation

     

Atomic mass =  abundances1 x relative mass 1+ abundances 2 x relative mass 2 ...etc

   =  ( 60.4% x 68.9257 + 39.6% x 70.9249)

    = 0.604 x 68.9257  +  0.396 x 70.9249)

     =  69.72 amu

The element with 2 isotopes, one representing 60.4 % of the atoms (68.9257 amu) and the other representing the rest (70.9249 amu), has an atomic mass of 69.7 amu. The element is Gallium.

An element has 2 isotopes. The sum of their abundances is 100%. If the abundance of isotope 1 is 60.4%, the abundance of isotope 2 is:

\(ab_1 + ab_2 = 100 \% \\ab_2 = 100\% - ab_1 = 100 \% - 60.4 \% = 39.6 \%\)

Isotope 1 has an abundance of 60.4% and a mass of 68.9257 amu, while Isotope 2 has an abundance of 39.6% and a mass of 70.9249 amu. The atomic mass is the weighted average of the mass by the abundance.

\(am = \frac{68.9257 amu \times 60.4 + 70.9249 amu \times 39.6 }{100} = 69.7 amu\)

The element with this atomic mass is Gallium.

The element with 2 isotopes, one representing 60.4 % of the atoms (68.9257 amu) and the other representing the rest (70.9249 amu), has an atomic mass of 69.7 amu. The element is Gallium.

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Calculate the atomic mass of an element if 60.4% of the atoms have a mass of 68.9257 amu and the rest

6
What is the density of a substance that has a mass of 2.0 g, and when placed in a graduated cylinder
the volume changed from 70 mL to 75 mL?
A 2.5 g/mL
B 7.0 g/mL
C 10. g/mL
D 0.40 g/mL

Answers

The density of the substance having a mass of 2.0 g is 0.4 g/mL (Option D)

How do I determine the density of the substance?

First, we shall obtain the volume of the substance. This can be obtained as follow:

Volume of water = 70 mL Volume of water + substance = 75 mL Volume of substance =?

Volume of substance = (Volume of water + substance) - (Volume of water)

Volume of substance = 75 - 70

Volume of substance = 5 mL

Finally, we shall determine the density of the substance. This is illustrated below:

Mass of substance = 2.0 gVolume of substance = 5 mLDensity of substance = ?

Density = mass / volume

Density of substance = 2 / 5

Density of substance = 0.4 g/mL

Thus, the density is 0.4 g/mL (Option D)

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What is the defenition of protons?

Answers

Answer:

It's basically a positive charged atom.

Explanation:

devise a synthesis of 1‑bromo‑3‑chlorobenzene starting from benzene.

Answers

To synthesize 1-bromo-3-chlorobenzene starting from benzene, a multi-step process would be required. This process would involve several reactions to introduce the bromo and chloro groups onto the benzene ring.

The first step would be to introduce a nitro group onto the benzene ring via nitration using a mixture of concentrated nitric acid and sulfuric acid. The nitro group would then be reduced to an amino group using a reducing agent such as iron and hydrochloric acid.

Next, the amino group would be diazotized using sodium nitrite and hydrochloric acid to form a diazonium salt. This diazonium salt would then be coupled with cuprous chloride to form a chlorobenzene ring.

Finally, the chlorobenzene would be further reacted with sodium bromide and hydrobromic acid to replace the chlorine atom with a bromine atom, forming 1-bromo-3-chlorobenzene. Overall, this synthesis would require several steps and careful control of reaction conditions to ensure high yields and purity of the desired product.

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The fastest train in the world can travel 1,500 kilometers in 3 hours. What is its speed?

The fastest train in the world can travel 1,500 kilometers in 3 hours. What is its speed?

Answers

500
hope this helps!

which of the following is true about exothermic?

the energy in the system is less once the reaction makes reactions

the energy in the systems is less once the reaction makes products

the energy in the system is more once the reaction makss products

the energy in the system is more once the reaction makes reactants​

Answers

The true statement about exothermic reactions is: the energy in the system is less once the reaction makes products.

option B.

What is Exothermic reactions?

Exothermic reactions are those reactions in which energy is released into the surroundings.

This energy release results in a decrease in the internal energy of the system, which means that the energy in the system is less after the reaction than before.

Also, the decrease in energy corresponds to an increase in stability of the system. Therefore, in an exothermic reaction, the energy of the products is less than the energy of the reactants.

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what are the things used in soap? are they good or bad to our skin?​

Answers

Answer: Your skin is your largest organ—22 square feet on average— Cleansers and body washes—might actually be doing us more harm than good, but, unfortunately, it absorbs harmful chemicals we put on it, too.

Explanation: Some are bad like scented body wash and hair stuff. But unscented is WAY better than scented, I learned that the hard way...

PLeas hurry

Which of the following matches a human action with its impact?

Construction of dam : Scarcity of water for animals

Use of fertilizers : Increase in the population of aquatic animals

Decrease in honeybee population : Increase in plant population

Construction of roads : Improvement in quality of water in local lakes

Answers

construction of dam : scarcity of water for animals

Answer:

construction aka A

Explanation:

got 100

PLEASE HELP PLS PLS PLS
Methane, CH4(g), and oxygen gas, O2(g) react to produce carbon dioxide, CO2(g), and water H2O(g). What volume of methane is required to react with oxygen to produce 32.5 L of carbon dioxide? *
a) 65.0 L
b) 48.8 L
c) 16.3 L
d) 32.5 L

Answers

Answer:

D)

Explanation:

CH4 + 2O2 = CO2 + 2H2O

1 (L CO2)= 32.5(L CO2)

1 (CH4) = 32.5 (L CH4)

after titration, 25 ml of a vinegar solution was found to contain 0.03 moles of acetic acid. using a density of 1.00 g/ml, what is the mass percentage of acetic acid in this vinegar sample? report your answer to three decimal places.

Answers

The mass percentage of acetic acid in this vinegar sample is 1.00 %

Density is the size of ways tightly a fabric is packed collectively. it is described as the mass consistent with unit quantity. Density image: D or ρ Density system: ρ = m/V, wherein ρ is the density, m is the mass of the object and V is the quantity of the item.

Density is the substance's mass per unit of volume. The image most usually used for density is ρ, despite the fact that the Latin letter D also can be used. Mathematically, density is defined as mass divided by using volume Density is the mass of an object divided by using its extent. Density frequently has gadgets of grams according to cubic centimeters (g/cm3).

Calculation:-

Acetic Acid = 0.03 mol

moles of Gram of Acetic acid=moles x molar mass.

= 0.03 mol x 60 mol

Now, as De 1.8g Density = 1.00

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Which of the following is not true about elements? 1. Elements are made of atoms of the same type. 2. Each element has a unique set of physical and chemical properties. 3. Elements cannot be broken down into a simpler set of properties. 4 Elements are the building block of matter.

Answers

Sorry If This Is Late***

Elements can't be broken down, into a simplre set of properties. They are one strict unit & cannot be broken down, however they can be added together to make a compound.

HOPE THIS HELPS & good luck <3 !!!!!

PLEASE HELP!!

The thermochemical equation for the combustion of methane gas is:

Calculate much heat is released when 3.5 moles of methane gas undergo a combustion reaction.

Answers

When 3.5 moles of methane gas undergo a combustion reaction, 3116.4 kJ of heat is released.

The thermochemical equation for the combustion of methane gas is as follows:
CH4(g) + 2O2(g) → CO2(g) + 2H2O(l)  ΔH = -890.4 kJ/mol
This equation tells us that for every mole of methane gas that is burned in the presence of oxygen, 890.4 kJ of heat is released. Now, we need to calculate how much heat is released when 3.5 moles of methane gas undergo combustion.
To do this, we simply need to multiply the number of moles of methane by the heat of combustion per mole:
ΔH = (-890.4 kJ/mol) x (3.5 mol) = -3116.4 kJ
Therefore, when 3.5 moles of methane gas undergo a combustion reaction, 3116.4 kJ of heat is released. It's important to note that this calculation assumes that the reaction takes place under standard conditions (i.e. at 25°C and 1 atm pressure) and that all reactants and products are in their standard states.

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list the three common driving forces for chemical reaction and state the typed of observations would accompany tyhem

Answers

The three common driving forces for chemical reactions are: Formation of a stable compound, Formation of a less stable compound, and Formation of a gas or solid and observations accompanying them includes changes in temperature, color, pressure, and/or the formation of a gas.

Formation of a stable compound: This occurs when two or more reactants combine to form a product that is more stable than the reactants. This can be observed by a decrease in energy and/or the release of heat or light.

Formation of a less stable compound: This occurs when a reactant breaks down into simpler products that are less stable than the reactant. This can be observed by an increase in energy and/or the absorption of heat or light.

Formation of a gas or solid: This occurs when a reactant or product forms a gas or solid, which can drive the reaction forward by removing products from the reaction mixture. This can be observed by a change in color or the formation of a precipitate.

Observations that may accompany these driving forces include changes in temperature, color, pressure, and/or the formation of a gas or precipitate. For example, the formation of a gas may be observed as bubbles forming in a solution, the formation of a precipitate may be observed as a cloudy appearance, and a change in color may indicate a change in the electronic structure of the reactants or products.

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If you want to make more shells (CaCO3) then which direction should the reaction proceed?

Answers

Answer:

The reaction will proceed in the reverse direction

Explanation:

Now consider the equation;

CaCO3(s) ⇄CO2(g) + CaO(s)

This is a reversible reaction. The reaction could proceed in either the forward or the reverse reaction depending on the conditions of the reaction. Under certain conditions, the forward reaction is favoured, under certain conditions, the reverse reaction is favoured.

The direction in which the reaction proceeds depends on the desired products as the equilibrium position could be manipulated at will by altering the reaction conditions. If the desire is to produce more CaCO3, then the equilibrium position is manipulated so that it shifts towards the left hand side. This implies that the reverse reaction is favoured.

What can hibiscus flower and red cabbage be used for?


As a test for an acid only

To look pretty

As an indicator

As a test for acid rain

Answers

Answer:

As an indicator

The hydra is an organism that reproduces by growing another organism from the sie of its tubular body. What type of asexual reproduction is this?

Answers

Answer:

Explanation:

budding

Figure 13.3 (a) Hydra reproduce asexually through budding: a bud forms on the tubular body of an adult hydra, develops a mouth and tentacles, and then detaches from its parent. The new hydra is fully developed and will find its own location for attachment.

Write the electron configuration for each of the following atoms and for the simple ion that the element most commonly forms. In each case, indicate which noble gas has the same electron configuration as the ion. a. chlorine, Z= 17 b. oxygen, Z=8
c. aluminum, Z=13 d. barium, Z=56
e. selenium, Z=34

Answers

The electron configuration of an atom describes the arrangement of its electrons in various energy levels and orbitals. Electrons occupy the lowest available energy levels and follow certain rules.

a. Chlorine has 17 electrons. Its electron configuration is \(1s_2 2s_2 2p_6 3s_23p_5\) . The ion that chlorine most commonly forms is the chloride ion, \(Cl^-\). This ion gains one electron to achieve a noble gas configuration. The electron configuration of \(Cl^-\) is the same as that of argon: \(1s_2 2s_2 2p_6 3s_2 3p_6\).

b. Oxygen has 8 electrons. Its electron configuration is \(1s_2 2s_2 2p_4\). The ion that oxygen most commonly forms is the oxide ion, \(O_2^-\). This ion gains two electrons to achieve a noble gas configuration. The electron configuration of \(O_2^-\)is the same as that of neon: \(1s_22s_22p_6\).

c. Aluminum has 13 electrons. Its electron configuration is \(1s_2 2s_2 2p_6 3s_2 3p_1\) The ion that aluminum most commonly forms is the aluminum ion, \(Al_3^+\). This ion loses three electrons to achieve a noble gas configuration. The electron configuration of \(Al_3^+\) is the same as that of neon: \(1s_2 2s_2 2p_6\).

d. Barium has 56 electrons. Its electron configuration is \(1s_2 2s_2 2p_6 3s_2 3p_6 4s_2 3d_10 4p_6 5s_2 4d_10 5p_6 6s_2\). The ion that barium most commonly forms is the barium ion,\(Ba_2^+\). This ion loses two electrons to achieve a noble gas configuration. The electron configuration of \(Ba_2^+\) is the same as that of xenon: \(1s_2 2s_2 2p_6 3s_2 3p_6 4s_2 3d_10 4p_6\).

e. Selenium has 34 electrons. Its electron configuration is \(1s_2 2s_2 2p_6 3s_2 3p_6 4s_2 3d_10 4p_4\). The ion that selenium most commonly forms is the selenide ion, \(Se_2^-\). This ion gains two electrons to achieve a noble gas configuration. The electron configuration of \(Se_2^-\)is the same as that of argon: \(1s_2 2s_2 2p_6 3s_2 3p_6\).

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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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Number of atoms in compound

Mg(OH)2

Answers

ANSWER

there are 20 number of atoms in compound

Explanation:

In a formula unit of Mg(OH)2, there are one magnesium ion and two hydroxide ions; or one magnesium, two oxygen, and two hydrogen atoms.

Other Questions
Calculate the derivative of the function. Then find the value of the derivative as specified.Ds/dt |t = -1 if s=t^2 - t After ten years of being a wizard after graduating from Hogwarts, Harry Potter yearned for a real persons job, and got one delivering packages to UPS customers. Although Harry was great at driving broomsticks, it turns out he is not a very good driver of vans. One day you are driving down the street in your neighborhood and you collide with the van driven by Harry when he didnt stop at a stop sign. You are injured. The van Harry is driving is painted brown (as UPS vans are), and also contains removable magnetic signs displaying the UPS name and logo. When he gets out of the van at the accident scene, Harry is wearing a UPS uniform. The van is not owned by UPS, but by Harry himself. UPSs agreement with Harry is that he is authorized to service UPS customers in your neighborhood. The agreement is memorialized in a contract that identifies Harry as an "independent contractor" and provides that "the manner and means by which Contractor performs the services shall be at Contractor's sole discretion and control and are Contractor's sole responsibility." The agreement gives either party the power to terminate in the event of the other party's breach. The agreement also recites a detailed list of procedures that Harry must follow in processing, picking up, and delivering packages and contains a provision under which Harry is required to indemnify UPS in the event Harry loses or damages packages bound for UPS's customers. Harry is contractually required to "wear a UPS uniform," and is required to submit to unannounced operational inspections and audits at UPS's sole discretion. Harry is also required to maintain the van in good working order, load and unload the van in strict accordance with specifications established by UPS, and always prominently maintain the UPS magnetic labels on the three sides of the van when making deliveries for UPS. Harrys van also contains a tracking device so that UPS can monitor and review the logistics of Harrys deliveries, and Harry can turn the tracking device off when he is not delivering for UPS. Finally, Harry is free to deliver the UPS packages at any time that is convenient for him during assigned delivery days, and he is free to use the van for other purposes when not delivering packages to UPS customers. For your personal injuries arising out of the accident, you sue UPS. UPS seeks a "Summary Judgment", arguing that Harry is an independent contractor for whose alleged negligence UPS is not vicariously liableExplain whether UPSs request for Summary Judgment will be granted and who, if anyone, will pay for your damages. Explain your answer fully. Amherst Metal Works produces two types of metal lamps. Amherst manufactures 20,000 basic lamps and 5,000 designer lamps. Its activity-based costing system uses two indirect-cost pools. One cost pool is for setup costs and the other for general manufacturing overhead. Amherst allocates setup costs to the two lamps based on setup labour-hours and general manufacturing overhead costs on the basis of direct manufacturing labour-hours. It provides the following budgeted cost information. Basic Designer Total Direct materials per lamp $ 8 $ 15 0.5 hours 0.6 hours Direct manufacturing labour-hours per lamp Direct manufacturing labour rate per hour Set up costs $ 20 S 20 114,000 Lamps produced per batch 250 50 Setup-hours per batch 1 hour 3hours General manufacturing overhead costs 130.000 Required: Calculate the total budgeted costs of the basic and designer lamps using Amherst's activity- based costing system. 1. What is the budgeted setup rate per hour? (3 marks) 2. What is the overhead rate for genera manufacturing overhead? (3 marks) 3. Now calculate the budgeted direct costs of basic and designer lamps if Amherst allocates overhead costs in each department using activity-based costing. Then complete the indirect allocation of costs for the basic and designer lamps. Lastly, in each case calculate the totals for both types of lamps combined. (24 marks) The table below shows a correct representation that 15 pounds of sugar code 3$ a 23 kg mass is connected to a nail on a frictionless table by a massless string 1.3 m long. there is no appreciable friction between the nail and the string. if the tension in the string is 51 n while the mass moves in a uniform circle on the table, how long does it take for the mass to make one complete revolution? Use superposition to find vo in the given circuit where i1 = 6 a and i2 = 4 a Mira and Lemma are equal owners of a business entity. Each contributed $96,000 cash to the business. Then the entity acquired a $384,000. loan from a bank. This year operating profits totaled $115,200. Determine Lemmas basis in her interest at the end of the tax year assuming that the entity is a partnership, a C corporation, or a S corporation.a. If the entity is a partnership, Mira and Lemma each have a basis of $_____ at the end of the year.b. If the entity is a C corporation, Mira and Lemma each have a basis of $_____ at the end of the year.c. If the entity is an S corporation, Mira and Lemma each have a basis of $_____ at the end of the year. Consider a perfectly-competitive industry where each firm has the following long run cost functionC(q) = q3 11q2 + 111q,where q is the firms output. What is the long-run equilibrium price in this market?Round your final answer to two decimal places, if necessary unicode is an international encoding system that is extensive enough to represent all the characters of all the world's alphabets. true or false? Raj has 180 sweets and splits them 1:4 with his freind what is the definition of a vertex what does roosevelt mean when he says we should get back to fundamentals an unknown substance has a mass of 57.4 g and occupies a volume of 34.3 ml. what is the density in g/ml? in class there are 20 boys and 15 girls what is the ratio of boys to girls which of the following men coined the term positivism, and is widely considered the father of sociology? group of answer choices auguste comte karl marx max weber mile durkheim the correct way to place time stamps is after Lucy Gray sang her ballad during the interview coriolanus felt hep me with this question Quadrilateral SQUA is a square with sides measuring 25mm. Quadrilateral AQER is also a square.What is the length diagonal RQ The diameter of a spherical basketball is 10 inches. What is the volume of the basketball? Give the exact solution.