Convert 8.19 x 10-14 moles of gold to atoms.

Answers

Answer 1

Answer:

4.932018 × 10¹⁰ atoms

Explanation:

Recall that:

1 mole = 6.022 × 10²³ atoms

To change 8.19× 10⁻¹⁴ moles to atoms;

Then, we have:

= (8.19× 10⁻¹⁴× 6.022 × 10²³ atoms)

= 4.932018 × 10¹⁰ atoms


Related Questions

HELP ASAP PLEASE!!! :)

Answers

Answer:

Alkane

Explanation:

Alkenes have CH in their condensed formulas and alkynes have C in their condensed formulas. There are only CH3 and CH2 so it's an alkane.

which sentences in the passage are true?

Answers

Answer:

First and last sentence .‍♀️

Explanation:

An important thing to keep in mind about the Reading Comprehension section of the GRE as we use PowerPrep online to study is that it is just that—reading comprehension. In other words, as difficult as it may seem, and it can be pretty tricky, the test makers will always give us all the information we need in the passage to answer the question.

Why is water called a universal solvent?
A. It is less soluble in warmer temperatures.
B. It is able to dissolve almost any solute.
C. It is only able to dissolve a small amount of sugar.
D. It is less soluble in colder temperatures.

Answers

Answer: B

Explanation:

Water is called the "universal solvent" because it dissolves more substances than any other liquid.

B mark me brainliest please

1. What do you call the continuous change in position of a body relative to a pon
reference point, as measured by a particular observer in a particular frame
of reference?

Answers

Answer:

In physics, motion means a continuous change in the position of a body relative to a reference point, as measured by a particular observer in a particular frame of reference.

Explanation:

What is the value of the equilibrium constant K ?

Answers

Answer:

K = 0.0209

Explanation:

K = [tex]\frac{[H_{2}][I_{2}]}{[2HI]^{2}}[/tex]

K = [tex]\frac{[4.35 x 10^{-2} ][2.79 x 10^{-2} ]}{[0.241]^{2} }[/tex]

K = 0.0208958

K = 0.0209

4
The work done when a gas is compressed in a cylinder is 338 J. At the same time,
it absorbs 142 J of heat from the surroundings. Compute the change in energy of
the system.

Answers

Answer:

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

Explanation:

kh uh

How do you balance this:
Br2 + H2O + SO2 = HBr + H2SO4

Answers

Answer:

Br2+ 2H2O + SO2= 2HBr + H2SO4

Let's Compare the left side of the equation to the right side of the equation.

Left: Br= 2, H= 2, S= 1, O = 1+2

Right: Br=1, H= 1+2, S=1, O= 4

We can see that only S is balanced and not the other 3 elements.

I'll try to make each element balance.

For Br; I'll multiply by 2 on the left to make it equal to the right.

For H; Since the 2 for Br on the right affected also H, that H ( for HBr) Already has a 2, but then it adds with the other H2( for H2SO4) to give a total of 4 H on the right side. But then there's only 2 H on the left. so we multiply that 2 by a 2 ( which is written infront of the H2O to give a total of 4 H on the left side.

For O; Because of the 2 infront of the H2O, it affects the O in H2O..so now we have 2 O plus the 2 O ( in SO2) to give a total of 4 O which is equal to the right side.

Question 9 of 10
Which of the following statements are true of nuclear energy and reactors?
Check all that apply.
O A. Nuclear reactors on Earth use fusion reactions to produce energy.
B. Nuclear fission reactions use only a small amount of material to
produce a large amount of energy.
C. Nuclear reactors use controlled reactions.
D. Nuclear fission is done by joining nuclei together into a bigger
nucleus.

Answers

Answer:

B. Nuclear fission reactions use only a small amount of material to

produce a large amount of energy.

C. Nuclear reactors use controlled reactions.

Explanation:

Nuclear reactors are devices that contain and control nuclear chain reactions while releasing heat produced from these nuclear chain reactions at a controlled rate.

A nuclear power plant uses the enormous amount of heat that are produced from the nuclear chain reactions occurring in the nuclear reactor to turn water into steam, which then drives turbine generators that generate electricity.

The nuclear chain reactions occurring in the nuclear reactor are fission chain reactions. A nuclear fission reaction is a reaction in which a larger atom is split into two or more smaller atoms when bombarded with energetic neutrons resulting in the release of large amounts of energy and more neutrons. The neutrons released split more atoms of the larger atom into smaller atoms in what is known as a chain reaction. This reaction is controlled by means of moderators. A moderator helps slow down the neutrons produced by fission to sustain the chain reaction.

Statements that are right as regards nuclear energy and reactors are ;

B. Nuclear fission reactions use only a small amount of material to

produce a large amount of energy.

C. Nuclear reactors use controlled reactions.

Nuclear fission can be regarded as splitting of a large atomic nucleus into smaller nuclei, in this case neutron is absorbed into a nucleus. It utilize small material to produce energy.

This process is done by the use of nuclear reactor which brings about a  controlled reaction.

Therefore option B,C, are correct.

Learn more at

https://brainly.com/question/913303?referrer=searchResults

The reason for using 1-propanol as the solvent of choice for recrystallization is that triphenylphosphine oxide is more soluble in 1-propanol than the alkene product because triphenylphosphine oxide can use its oxygen to hydrogen-bond to 1-propanol, whereas the alkene has no hydrogen-bonding capability. Triphenylphosphine oxide, therefore, is removed based on its polarity and H-bonding ability.

a. True
b. False

Answers

Answer:

True

Explanation:

Hydrogen bonding is a bond that exists between hydrogen and a highly electronegative element such as oxygen, nitrogen, fluorine etc.

The greater solubility of the triphenylphosphine oxide owes to the hydrogen bonded interaction between it and the 1-propanol.

The alkene lacks such hydrogen bonded interaction because it does not have a highly electronegative atom in its structure.

Hence, triphenylphosphine oxide is removed based on its polarity and hydrogen bonding ability.

The particle in the atom with a negative charge is the...

Answers

Answer: electrons

Explanation: An atom consists of a positively charged nucleus, surrounded by one or more negatively charged particles called electrons.

Crosses between true-breeding plants with white flowers produced plants with only _____ flowers white or purple

Answers

The answer is white

What is orbit? A. An increase in centripetal motion and mass friction. B. Resistance of an object to avoid friction. C. Gravity causing a curved path as an object tries to go straight. D. How well an object floats.

Answers

Answer:

C. gravity causing a curved path as an object tries to go straight.

Which of the following is NOT an abiotic factor that influences an ecosystem?

Amount of water available

Average rainfall

Average temperature

Number of different animals

Answers

Answer:

Number of different animals

Explanation:

Number of different animals is not an abiotic factor that influences an ecosystem rather it is  a biotic factor.

What is an ecosystem?

Ecosystem is defined as a system which consists of all living organisms and the physical components with which the living beings interact. The abiotic and biotic components are linked to each other through nutrient cycles and flow of energy.

Energy enters the system through the process of photosynthesis .Animals play an important role in transfer of energy as they feed on each other.As a result of this transfer of matter and energy takes place through the system .Living organisms also influence the quantity of biomass present.By decomposition of dead plants and animals by microbes nutrients are released back in to the soil.

Learn more about ecosystem,here:

https://brainly.com/question/12737609

#SPJ2

Which oficial the following organisms si not an autotroph

A. mushroom
B. grass
C. tree
D. moss​

Answers

Answer:

A. mushroom

Explanation:

Maybe option A because mushrooms ain't makes their food.

Can someone help me with this 3 questions I’ll mark brainliest spam answers will be reported

Answers

1. A
2. A
3. C
Your welcome

Answer:

1. stomach

2. veins

3.both are functions

Explanation:

1. The cardiovascular system consists of the heart, and a closed system of vessels called arteries, veins, and capillaries. (Stomach is not included)

2.The inferior vena cava is the largest vein in the body and carries deoxygenated blood from the lower half of the body into the heart

3. Blood transports oxygen and nutrients to the lungs and tissues, and  brings waste products to the kidneys and liver, which filter and clean the blood.

Hope this helps!

NEED HELP FOR THIS ONE

Answers

Answer:

C₆H₁₂O₆ + 6 O₂ = 6 CO₂ + 6 H₂O

2 KO₂ + H₂O = 2 KOH + 1.5 O₂

Explanation:

Let's consider the following unbalanced equation.

C₆H₁₂O₆ + O₂ = CO₂ + H₂O

We will start balancing H atoms (higher atomicity) by multiplying H₂O by 6.

C₆H₁₂O₆ + O₂ = CO₂ + 6 H₂O

Then, we will balance C atoms by multiplying CO₂ by 6.

C₆H₁₂O₆ + O₂ = 6 CO₂ + 6 H₂O

Finally, to get the balanced equation, we will multiply O₂ by 6.

C₆H₁₂O₆ + 6 O₂ = 6 CO₂ + 6 H₂O

---

Let's consider the following unbalanced equation.

KO₂ + H₂O = KOH + O₂

We will multiply KO₂ and KOH by 2 to balance K and H atoms.

2 KO₂ + H₂O = 2 KOH + O₂

Finally, to get the balanced equation, we will multiply O₂ by 1.5.

2 KO₂ + H₂O = 2 KOH + 1.5 O₂

2 Nal + Pb(NO3)2
2 NaNO3
+
Pb12
What are the reactants in this equation?

Answers

I think it may be A but I’m not to certain

Answer:

[tex]\boxed {\boxed {\sf A. \ NaI \ and \ Pb(NO_3)_2}}[/tex]

Explanation:

In a chemical reaction, the reactants are the substances that start the reaction and change into other substances. The results at the end of the reaction are products.

Typically, the reactants are to the left of the arrow, while products are to the right.

reactants ⇒ products

We are given this chemical equation:

[tex]2 \ NaI + Pb(NO_3)_2 \rightarrow 2NaNO_3 +PbI_2[/tex]

We are asked to find the reactants. Remember, these go into the reaction and are on the left.

[tex]\bold {2 \ NaI + Pb(NO_3)_2 } \rightarrow 2NaNO_3 +PbI_2[/tex]

Therefore, the reactants are NaI (sodium iodide) and Pb(NO₃)₂ (lead nitrate). Choice A is correct.

When would a topographic map be useful?

Answers

Answer:

Topographic maps are used by hikers and backpackers to plan routes, estimate travel times, find water, good campsites, and track their progress on hikes. They're designed to depict the three dimensional shape of the world (mountains, valleys, plains, etc.)

Explanation:

What is the mass of a rectangular piece of copper 24.4cm x 11.4 cm x 7.9 cm? The density of copper is 8.92g/cm3.

Answers

The mass of the rectangular piece of copper is 18,869 g (approx).In conclusion, the mass of a rectangular piece of copper with dimensions 24.4cm x 11.4 cm x 7.9 cm and a density of 8.92 g/cm³ is 18,869 g (approx.).

The given dimensions of the rectangular piece of copper are:Length = 24.4 cmWidth = 11.4 cmHeight = 7.9 cmThe formula to calculate the mass of an object is given by;

Mass = Density x Volume

Here, the density of copper is given as 8.92 g/cm³.

Therefore, the first step is to calculate the volume of the rectangular piece of copper.The formula to calculate the volume of a rectangular object is given by:

Volume = Length x Width x Height

So,Volume = 24.4 cm x 11.4 cm x 7.9 cm= 2115.432 cm³Now we will use the mass formula:

Mass = Density x Volume= 8.92 g/cm³ x 2115.432 cm³= 18,869.27824 g= 18,869 g (approx.)

For more such questions on copper

https://brainly.com/question/29176517

#SPJ8

Predict the product for the following reaction sequence.3,4-dimethyl-7-nonanol 3,4-dimethyl-7-nonanone 6,7-dimethyl-3-nonanone 6,7-dimethyl-3-nonanal 6,7-dimethyl-3-nonanol

Answers

Answer:

Hello your question is incomplete attached below is the complete question

answer : 6,7-dimethyl-3-nonanone ( B )

Explanation:

The product for the following reaction sequence as attached below is

6,7-dimethyl-3-nonanone

The following reaction sequence can be categorized under Carbon Nucleophiles.

Carbon Nucleophiles which can be used to convert  aldehydes and ketones into  carboxylic acids or alkenes.

The product for the given reaction sequence is 6,7-dimethyl-3-nonanone.

IUPAC (International Union of Pure and Applied Chemistry) naming is a systematic method used to name chemical compounds according to a set of rules established by the IUPAC.

The purpose of IUPAC naming is to provide a consistent and unambiguous way to communicate the structure of a compound through its name.

The outcome of the subsequent chain of reactions, which is appended below, is 6,7-dimethyl-3-nonanone

Under the heading of Carbon Nucleophiles, the following reaction chain can be categorised.

Aldehydes and ketones can be transformed into carboxylic acids or alkenes using carbon nucleophiles.

Thus, the answer is 6,7-dimethyl-3-nonanone.

For more details regarding IUPAC naming, visit:

https://brainly.com/question/16631447

#SPJ6

Your question seems incomplete, the probable complete question is:

A flask contains a 1.00 mole of neon gas and 2.00 moles of argon gas. If the total pressure of the gases is 150.0 kPa, then what is the partial pressure of the argon gas in kPa?

Answers

Answer:

Partial pressure of Ar = 100.5 KPa

Explanation:

The following data were obtained from the question:

Number of mole of Ne = 1 mole

Number of mole of Ar = 2 moles

Total pressure = 150.0 KPa

Partial pressure of Ar =?

Next, we shall determine the mole fraction of Argon (Ar). This can be obtained as follow:

Number of mole of Ne = 1 mole

Number of mole of Ar = 2 moles

Total mole = 1 + 2 = 3 moles

Mole fraction of Ar = mole of Ar / total mole

Mole fraction of Ar = 2/3

Mole fraction of Ar = 0.67 mole

Finally, we shall determine the partial pressure of argon (Ar). This can be obtained as follow:

Mole fraction of Ar = 0.67 mole

Total pressure = 150.0 KPa

Partial pressure of Ar =?

Partial pressure = mole fraction of gas × total pressure

Partial pressure of Ar = 0.67 × 150

Partial pressure of Ar = 100.5 KPa

Arrange the following 0.10 M solutions from most acidic to most basic. Justify your rankings.
KOH

KNO3

KCN

NH4Cl

HCl

Answers

KOH is an alkali metal hydroxide and so would be a strong base. HCl is a hydrogen halide in solution, which would be a strong acid (the exception would be HF). There are no other strong bases or acids in this list, so these two substances will comprise our bookends.

KNO3 is a salt produced during the neutralization reaction between KOH and HNO3; the former is (as we just noted) a strong base, and the latter is a strong acid. The salt consisting of the conjugate acid and base of a strong base and acid, respectively, produces a neutral solution in water. So, the KNO3 would be neutral.

KCN in solution consists of the ions K+ and CN-; K+, as we just went through, is the conjugate acid of KOH, a strong base. CN- is the conjugate base of HCN, a weak acid in solution. Since the resultant salt, KCN, is the neutralization product of a strong base and a weak acid, it will be slightly basic in solution (the CN- is a stronger base than K+ is as an acid). So, the KCN solution would be slightly basic.

NH4Cl dissociates in solution to give NH4+ and Cl-. NH4+, as the conjugate acid of the weak base ammonia, NH3, will donate an H+ in water. Cl- is the conjugate base of a strong acid, HCl. The neutralization product of a strong acid (HCl) and a weak base (NH3) would be slightly acidic. So, the solution of NH4Cl would be slightly acidic.

Ranking the solutions from most acidic to most basic (note: it’s important that the solutions have the same concentrations), we get:

HCl (strong acid)
NH4Cl (weak acid salt)
KNO3 (neutral salt)
KCN (weak basic salt)
KOH (strong base).

when 70.0 grams of mno2 reacted with 128.0 grams of hcl, the reaction resulted in a 62.7% yield of chlorine gas. what is the actual yield of chlorine gas in grams? Mno2 + HCI —> MnCl2 + h2o + cl2​

Answers

Answer:

35.8g of Cl₂ is the yield

Explanation:

Based on the reaction:

MnO₂ + 4HCl → MnCl₂ + 2H₂O + Cl₂

1 mole of MnO₂ and 4 moles of HCl react producing 1 mole of Cl₂

To solve this question we must find limiting reactant. with limiting reactant we can find the theoretical yield of Cl₂. As the actual yield is the 62.7% we can find actual yield of Cl₂ in grams:

Moles MnO₂ -Molar mass: 86.9368g/mol-:

70.0g * (1mol / 86.9368g) = 0.805 moles

Moles HCl -Molar mass: 36.46g/mol-:

128.0g * (1mol / 36.46g) = 3.51 moles

For a complete reaction of 3.51 moles of HCl are required:

3.51 moles HCl * (1mol MnO₂ / 4mol HCl) = 0.878 moles MnO₂.

As there are just 0.805 moles of MnO₂, MnO₂ is limiting reactant.

1 mole of MnO₂ produce 1 mole of Cl₂. The theoretical moles of Cl₂ produced are 0.805 moles.

As the yield is of 62.7%, the yield of Cl₂ is:

0.805 moles * (62.7 / 100) = 0.505 moles Cl₂. In grams:

0.505 moles Cl₂ * (70.906g / mol) =

35.8g of Cl₂ is the yield

Which of these benefits the grassland by allowing light, warmth, moisture, and nutrients back into the soil?
fires
ponds
trees
rainfall

Answers

Answer:

Trees

Explanation:

I think sorry if I get it wrong

Estimate your de Broglie wavelength when you are running. (For this problem use h = 10^−34 in SI units and 1 lb is equivalent to 0.45 kg.) For the computation, estimate how fast you can run in meters per second.


A. your running speed ______ m/s

B. your mass ______kg

C. your de Broglie wavelength ______ m

Answers

Answer:

A. your running speed 1.5 m/s

B. your mass 70 kg

C. your de Broglie wavelength [tex]6.32x10^{-36}[/tex]m

Explanation:

Hello there!

In this case, since the equation for the calculation of the Broglie wavelength is:

[tex]\lambda =\frac{h}{m*v}[/tex]

We can assume a running speed of about 1.5 m/s and a mass of 70 kg, so the resulting Broglie wavelength is:

[tex]\lambda =\frac{6.626x10^{-34}kg\frac{m}{s} }{70kg*1.5\frac{m}{s} }\\\\\lambda =6.32x10^-36m[/tex]

Best regards!

The formula for chromium (vi)bromate

Answers

Answer: The formula of chromium fluoride is CFr2.

What is orbit? A. An increase in centripetal motion and mass friction. B. Resistance of an object to avoid friction. C. Gravity causing a curved path as an object tries to go straight. D. How well an object floats.

Answers

Answer:

c

Explanation:

arrange
these liquids in order of increasing surface tension: water,
hexane, ethanol.

Answers

The magnitude of surface tension of liquid depends on the attractive forces between the molecules. Arrange the following in increasing order of surface tension:

water, alcohol (C2H5OH) and hexane [CH3(CH2)4CH3)].  

Answer:

Hexane, Methanol, Water

Explanation:

I did the assessment

The overall redox equation for the voltaic cell can be written as ^^^. What is being reduced in this forward reaction?

Answers

Answer:

Cu⁺² is being reduced in that reaction.

Explanation:

Zn(s) + Cu⁺²(aq) → Zn⁺²(aq) + Cu(s)

When a substance is reduced, its oxidation number is reduced -changing to a lower value than original-.

Cu⁺² turned into Cu. Meaning that the oxidation number changed from +2 to 0.

Thus, Cu⁺² is being reduced in that reaction.

A 90-m3 basement in a residence is found to be contaminated with radon coming from the ground through the floor drains. The concentration of radon in the room is 1.5 Bq/L under steady-state conditions. The room behaves as a CSTR and the decay of radon is a first-order reaction with a decay rate constant of 2.09 3 1026 s21 . If the source of radon is closed off and the room is vented with radon-free air at a rate of 0.14 m3 /s, how long will it take to lower the radon concentration to an acceptable level of 0.15 Bq/L

Answers

Answer:

25 minutes

Explanation:

V = Volume = [tex]90\ \text{m}^3[/tex]

[tex]C_0[/tex] = Radon concentration under steady state = 1.5 Bq/L

k = Radon decay rate = [tex]2.09\times 10^{-6}\ \text{s}^{-1}[/tex]

[tex]Q[/tex] = Venting rate = [tex]0.14\ \text{m}^3/\text{s}[/tex]

[tex]C_f[/tex] = Final concentration of radon = 0.15 Bq/L

Theoretical detention time is given by

[tex]\theta=\dfrac{V}{Q}\\\Rightarrow \theta=\dfrac{90}{0.14}\\\Rightarrow \theta=642.86\ \text{s}[/tex]

We have the relation

[tex]C_f=C_0e^{-(\dfrac{1}{\theta}+k)t}\\\Rightarrow t=\dfrac{\ln\dfrac{C_f}{C_0}}{-(\dfrac{1}{\theta}+k)}\\\Rightarrow t=\dfrac{\ln\dfrac{0.15}{1.5}}{-(\dfrac{1}{642.86}+2.09\times 10^{-6})}\\\Rightarrow t=1478.25\ \text{s}=\dfrac{1478.25}{60}=24.63\approx 25\text{minutes}[/tex]

The time taken to reach the acceptable level of concentration is 25 minutes.

Other Questions
The University of Ghana Business School wants to establish a campus in Nigeria. As the Officer in charge of Institutional Growth and Expansion, prepare a marketing research brief to XZee Consult, a marketing research firm in Ghana, for a marketing research support Regular AR verbs in the present tense (a) (b) (c) (d) "Variable costs are relevant and fixed costs are irrelevant." Explain the above statement. [Jelaskan tentang penyataan di atas.] (5 Marks / Markah) Managerial accounting and financial Which of the following statements reflects a genuine contribution of Erikson's theory of psychosocial development?a. He recognized that psychosocial development is essentially a lifelong process.b. He recognized that psychosocial development is dependent on nature and not on nurture.c. He recognized that psychosocial development is usually complete by early childhood.d. He recognized that psychosocial development is usually complete by early adolescence. 1: How much and in what ways has the launch of the Cayenne (and subsequently the Panamera sedan) changed the meaning of the Porsche brand?2: What is the value of the Rennlist online brand community to Porsche? How does it help or hurt the brand?3: Should Wiedeking listen to the Rennlist community? Why or why not? Should he engage with them? How?4: Imagine you are a new Cayenne or Panamera owner. How does the Rennlist brand community affect your Porsche ownership experience? Seaside Boat Company's bank statement for the month of September showed a balance per bank of $7,000. The company's Cash account in the general ledger had a balance of $4,667 at September 30. Other information is as follows: (1) Cash receipts for September 30 recorded on the company's books were $4,200 but this amount does not appear on the bank statement (2) The bank statement shows a debit memorandum for $40 for check printing charges. (3) The total amount of checks still outstanding at September 30 amounted to $5,800. (4) Check No. 138 was correctly written and paid by the bank for $429. The cash payment journal reflects an entry for Check No. 138 as a debit to Accounts Payable and a credit to Cash in Bank for $492. (5) The bank returned an NSF check from a customer for $550. (6) The bank included a credit memorandum for $1,260 which represents collection of a customer's note by the bank for the company; principal amount of the note was $1,200 and interest was $60. Interest has not been accrued. Instructions (a) Prepare a bank reconciliation for Seaside Boat Company at September 30. (b) Prepare any necessary journal entries as a result of the bank reconciliation. what did the deaths of grandma spirit, mary, and eugene have in common 2. how was the development of dubois leadership beliefs influenced by his parents economic background and social status? Consider the equation (2x2 + y)dx + (x+y x)dy = 0 (1) Show that the equation is not exact. (2) Solve the equation. identify bronsted-lowry conjugate acid-base pairA. NH3 , NH4+B. H30+ , OH-C. HCl , HBrD. ClO4- , ClO3- A study compares Incandescent, CFL and LED light bulbs. Energy consumption for the 3 bulb types in MJ/20 million lumen-hours is: 15100, 3950 and 1760 The weight of the minerals used in the product specified in g/20 million lumen-hours are: 600, 300 and 200 The study is interested in emissions to the air (CO) and emissions to the soil (landfill). The bulbs are sent to a landfill after usage. The following conversion factors are to be used: 1 MJ = 0.28 kWh 1 kWh results in 0.61 lb. of CO2 a. What is the functional unit? b. Life Cycle Inventory per Functional Unit (show formulas) A population of 200 sloths is increasing exponentially by a 25% every year. If this trend continues, how many years will pass until there will be 8000 sloths? Round to the nearest tenth of a year? pls help test very soon!! A Statistics professor has observed that for several years students score an average of 114 points out of 150 on the semester exam. A salesman suggests that he try a statistics software package that gets students more involved with computers, predicting that it will increase students' scores. The software is expensive, and the salesman offers to let the professor use it for a semester to see if the scores on the final exam increase significantly. The professor will have to pay for the software only if he chooses to continue using it. In the trial course that used this software, 217 students scored an average of 117 points on the final with a standard deviation of 8.9 points. Complete parts a) and b) below.a) Should the professor spend the money for this software? Support this recommendation with an appropriate test. Use = 0.05. What are the null and alternative hypotheses? H_o: _____ H_A: ______b) Determine the 95% confidence interval for the mean score using the software, rounding to one decimal place. True / FalseIn Managements report on the effectiveness of their internal control, management acknowledges its responsibility for establishing and maintaining adequate internal control over financial reporting. Find symmetric equations for the line of intersection of the planes.5x2y2z=1,4x+y+z=6. Part B - Newton's Laws of Motion and Universal Gravitation The constellation Canis Minor has a binary star system consisting of Procyon A and Procyon B. Procyon A, at 3 x 1030 kg, has 2.5 times the mass of Procyon B; and they are roughly 2 x 1012 m apart. How does the force on Procyon A from Procyon B compare to the force on Procyon B from Procyon A? O 6.3FB on A O 2.5FB on A FA on B = O 1.3FB on A O FB on A O 0.4FB on A Submit Request Answer Part C - Newton's Laws of Motion and Universal Gravitation Considering the same stars as described in Part B, how does the acceleration of Procyon A compare to the acceleration of Procyon B as they orbit each other? O 6.3a3 O 2.5ap DA= O 1.3aR O 0.4ar Submit Request Answer Part D - Falling on other planets An astronaut is on the surface of a new planet that has a radius of 6.1 x 106 m (similar to Venus) and a mass of 6.4 x 1023 kg (similar to Mars). If she dropped her cell phone, what would be the free-fall acceleration of the phone? Recall that G=6.67 x 10-11 Nm/kg? Express vour answer to two sianificant figures and indicate the appropriate units The graph for a linear regression crosses the y axis in negative values. Where would the y-intercept of the regression line be located on the y-axis?a) Above 0b) Below 0c) To the right of 0d) To the left of 0 Which of the following statement is true for a 0.10 M solution of a weak acid HA at 25C?A. pH of solution = 1.00B. [HA] >> [A ]C. [HA] = [A ]D. [HA] = [H+ ]E. [A ] >> [OH ] A horizontal demand curve represents: a. Perfectly inelastic demand .b. Perfectly elastic demand. c. Unit elastic demand d. None of the above Suppose that a binary message-either 0 or 1-must be transmitted by wire from location A to location B. However, the data sent over the wire are subject to a channel noise disturbance, so, to reduce the possibility of error, the value 2 is sent over the wire when the message is 1 and the value -2 is sent when the message is 0. If x, x = +2, is the value sent to location A, then R, the value received at location B, is given by R=x+N, where N is the channel noise disturbance. When the message is received at location B, the receiver decodes it according to the following rule: IfR>.5, then 1 is concludedIfR