A sulfuric acid solution containing 571.6 g of H2SO4 per liter of aqueous solution has a density of 1.329 g/cm^3.Calculate:a. Mass percentageb. Mole fractionc. Molalityd. molarity of H2SO4 in this solution.

Answers

Answer 1

Given :

Mass of [tex]H_2SO_4[/tex] is 571.6 g per liter .

Density of solution , [tex]\rho=1.329\ g/cm^3[/tex] .

To Find :

a. Mass percentage

b. Mole fraction

c. Molality

d. molarity of H2SO4 in this solution.

Solution :

Molar mass of [tex]H_2SO_4[/tex] , m = 1329 g/mol .

a ) Mass of [tex]H_2SO_4[/tex] contain in 1 liter is 1329 g .

[tex]mass \ \%=\dfrac{571.6}{1329}\times 100=43.01 \%[/tex]

b ) Moles of [tex]H_2SO_4[/tex] = [tex]\dfrac{571.6\ g}{98\g/mol}=5.83\ mol[/tex] .

Moles of [tex]H_2O[/tex] = [tex]\dfrac{1329-571.6\ g}{18\ g/mol}=42.08\ mol[/tex] .

Mole fraction [tex]=\dfrac{5.83}{5.83+42.08}=0.12[/tex] .

c ) Molarity of [tex]H_2SO_4[/tex]  [tex]=\dfrac{5.83\ mol}{1 \ L}=5.83\ M[/tex] .

Hence , this is the required solution .


Related Questions

40 points
Examine the table and write down what should be in each row below.
Write your answers on different lines for each row and place a common in
between each answer in that same row.*
Name
Symbol
Atomic
number
Mass
Number
Number of
neutrons
Number of
Electrons
Charge
Lithium-5
su
3
SB
1601
ISN
7
25Na
187
Your answer

Answers

Answer:

I am so confused about this i am so sorry but i cant there is to much going on

Explanation:

Sun2

Sun3

Sun4

Sun5

Sun6

Sun7

Sun8

Sun9

Sun10

Which of the following is equivalent to 251 torr?
A. 0.330 atm.
B. 1900 atm.
C. 29.4 psi.
D. All of these choices.

Answers

Answer:

Option A. 0.330 atm.

Explanation:

To know the correct answer, we simply do the following:

1. Conversion of 251 torr to atm

760 torr = 1 atm

Therefore,

251 torr = 251 torr / 760 torr × 1 atm

251 torr = 0.330 atm

2. Conversion of 251 torr to psi

1 torr = 0.0193 psi

Therefore,

250 torr = 250 torr / 1 torr × 0.0193 psi

250 torr = 4.825 psi

From the above illustrations, 251 torr is equivalent to both 0.330 atm and 4.825 psi. Therefore, only option A is correct.

Ammonium phosphate [(NH4)3(PO4)] is an important ingredient in many solid fertilizers. It can be made by reacting aqueous phosphoric acid H3PO4 with liquid ammonia. Calculate the moles of ammonium phosphate produced by the reaction of 1.50mol of ammonia.

Answers

Answer:

The correct answer is 0.50 mol (NH₄)₃PO₄

Explanation:

The balanced chemical equation between liquid ammonia (NH₃) and H₃PO₄ is the following:

3 NH₃ + H₃PO₄ → (NH₄)₃PO₄

According to the equation, 3 mol of ammonia produce 1 mol of ammonium phosphate. Thus, the stoichiometric ratio is 1 mol (NH₄)₃PO₄/3 NH₃. To calculate the moles of (NH₄)₃PO₄, we multiply the ratio by 1.50 mol NH₃:

1.50 mol NH₃ x 1 mol (NH₄)₃PO₄/3 NH₃ = 0.50 mol (NH₄)₃PO₄

If Nurse Antonio adds that 7 grams of NaCI to water to make 1 liter of solution, what is the molar concentration of the solution? Use dimensional analysis and show how you completed the unit conversion.

Answers

Given :

Nurse Antonio adds that 7 grams of NaCI to water to make 1 liter of solution.

To Find :

The molar concentration of the solution .

Solution :

Molecular mass of NaCl , [tex]m=58.44\ g/mol[/tex] .

Now , number of moles is given by :

[tex]n=\dfrac{\text{Given weight}}{\text{Molecular Mass}}\\\\n=\dfrac{7}{58.44}\ mole\\\\n=0.12\ moles[/tex]

Molarity is given by :

[tex]M=\dfrac{\text{Number of moles}}{\text{Volume ( in Liters)}}\\\\M=\dfrac{0.12}{1}\ M\\\\M=0.12\ M[/tex]

Hence , this is the required solution .

what animal is most like to harmed when a beaver builds a dam​

Answers

Answer:

Small fish or insects.

Explanation:

Fish or other animals that need to use the river for food

Which of the following may happen to astronauts when they return to Earth from space? (1 point)
They may feel dizzy because the flow of blood to and from the heart to the brain is affected in space.
They may feel dizzy because the heart pumps more blood per beat on Earth than in space.
Their heart rate may slow down because there is more blood to circulate around the body.
Their heart rate may slow down because there is less blood to circulate around the body.

Answers

Answer:

i believe its They may feel dizzy because the heart pumps more blood per beat on Earth than in space.

Explanation:

Answer:

They may feel dizzy because the flow of blood to and from the heart to the brain is affected in space.

Explanation:

What is the percent by mass of glucose in a solution made by dissolving 163 g glucose in 755 g water? Do you need to know the formula of glucose to do that calculation?
Explain

Answers

Answer:

Explanation:

%mass of glucose =(  mass of gucose /mass of solution )x100%

                              =    163  /   (755+  163  )

                               = 17.76 %

Students conduct a lab in which they neutralize an acid. Which of the following
is the last thing students should do before leaving the lab area?

Answers

The missing group of choices is as follows:

A. disassemble the equipment.

B. wash their hands.

C. record their observations.

D. clean the lab tables.

Answer:

The correct answer is - B. washing their hands.

Explanation:

Neutralization of an acid involves the reaction of the acid with a strong or week base ( on the basis of acid strength) which leads to the production of salt and water in aqueous solution.

Washing hand acid could be more dangerous as the acid reacts violently with water, however, after the neutralization of acid, there should be normal safety measures which are before leaving the lab one should wash their hand as chemicals used might be toxic or cause harmful effect to an individual.

Thus, the correct answer is - B. washing their hands.

An object has a mass of 10 grams and a volume of 5 cm3. What is the density of the object​

Answers

Answer:

.0002

Explanation:

d=m/v

=10g/5cm3

=2g/come

=.0002 kg/cm3

Which of the following is an example of a quantitative observation? a. The piece of metal is longer than the piece of wood. b. Solution 1 is much darker than solution 2. c. The liquid in beaker A is blue. d. The temperature of the liquid is 60°C. e. At least two of the above (A-D) are quantitative observations.

Answers

Answer: d. The temperature of the liquid is 60°C.

Explanation:

A quantitative observation is an observation of measure of variables sing in the study or experiment . Variables can be length, weight, temperature , volume etc which can be measured.

From all the given options only option d. is describing a measure ( 60°C).

Hence, an example of a quantitative observation: "The temperature of the liquid is 60°C."

So correct option is d.

Classify each reactant and product in this reaction as an acid or base according to the Brønsted theory.
HF + H2O = F + H30+


Answer Bank
HF
H30+
F-
H2O

Answers

Answer:

Reaction: [tex]\rm HF + H_2O \rightleftharpoons F^{-} + H_3O^{+}[/tex].

[tex]\rm HF[/tex]: Bronsted-Lowry Acid.[tex]\rm H_3O^{+}[/tex]: Bronsted-Lowry conjugate Acid of [tex]\rm F^{-}[/tex]: Bronsted-Lowry conjugate Base of [tex]\rm HF[/tex].[tex]\rm H_2O[/tex]: Bronsted-Lowry Base.

Explanation:

In the Bronsted-Lowry acid-base theory, the acid in a reaction is the species that loses a proton, [tex]\rm H^{+}[/tex]. The resultant species would be the conjugate base of that acid.

On the other hand, the Bronsted-Lowry base in a reaction is the species that accepts a proton [tex]\rm H^{+}[/tex]. The resultant species would be the conjugate acid of that base.

Identify the conjugate acid-base pairs in this reaction. Note that the two species in each pair are related by the gain or loss of a single proton. Therefore, their formula should look similar to each other.

For this reaction, [tex]\rm HF[/tex] and [tex]\rm F^{-}[/tex], as well as [tex]\rm H_2O[/tex] and [tex]\rm H_3O^{+}[/tex] form two similar-looking reactant-product pairs:

The reactant [tex]\rm HF[/tex] loses one proton to form the product [tex]\rm F^{-}[/tex]. Therefore, [tex]\rm HF\![/tex] would be the Bronsted-Lowry acid, while [tex]\rm F^{-}\![/tex] would be its conjugate base.The reactant [tex]\rm H_2O[/tex] gains one proton to form the product [tex]\rm H_3O^{+}[/tex]. Therefore, [tex]\rm H_2O\![/tex] would be the Bronsted-Lowry base, while [tex]\rm H_3O^{+}\![/tex] would be the conjugate acid.

Which of the following is a neutralization reaction?A. Na2O(s) + H2O(a) rightarrow 2NaOH(s).B. 4Na(s) + O2(g) rightqrrow 2Na2O(s).C. NaOH(s) + HCl(aaq) rightarrow NaCl(s) + H2O(aq).D. 2Ca(s) + O2(g) rightarrow 2CaO(s).

Answers

Answer:

C. NaOH(s) + HCl(aaq) rightarrow NaCl(s) + H2O(aq)

Explanation:

A neutralization reaction may be defined as the reaction where an acid when it reacts with some base, the products formed are a salt and water.

Simply, we can write,

acid + base --->  salt + water

Here in option (C),

NaOH is sodium hydroxide is an base

HCl is hydrochloric acid

NaCl is sodium chloride and is the common salt

H20 is water

So, option C).  NaOH(s) + HCl(aaq) -----> NaCl(s) + H2O(aq)   is a neutralization reaction.

Aluminum has a density of 2.70 g/cm3 . What would the volume be in in3 of a piece of aluminum that weighs 185.3 g?

Answers

Answer:

The volume in  in³ is 4.19 in³

Explanation:

To determine the volume in in³ ( cubic inches),

First, we will find the volume in cm³

From the question,

The density of aluminum = 2.70 g/cm³

Mass of the aluminum = 185.3 g

From,

[tex]Density = \frac{Mass}{Volume}[/tex]

Then,

[tex]Volume = \frac{Mass}{Density}[/tex]

Hence,

The volume of the aluminum in cm³ is

[tex]Volume = \frac{185.3 g}{2.70g/cm^{3} }[/tex]

[tex]Volume = 68.63[/tex] cm³

This is the volume in cm³

Now, for the volume in in³

1 in = 2.54 cm

∴ 1 in³ = 16.3871 cm³

Now,

If 16.3871 cm³ = 1 in³

Then, 68.63 cm³ = [tex]x[/tex]

[tex]x =\frac{68.63 \times 1 }{16.3871}[/tex]

[tex]x =4.19[/tex] in³

Hence, the volume in  in³ is 4.19 in³

Answer:

4.19 g/cm3

Explanation:

How much Ca(NO3)2 should be weighed out to have 0.650 mol?A) 66.4 g.B) 97.68.C) 107 g.D) 133 g.E) 165 g.

Answers

Answer:

C) 107 g

Explanation:

Step 1: Calculate the molar mass of Ca(NO₃)₂

We can calculate the molar mass of Ca(NO₃)₂ by adding the masses of its elements.

M = 1 × Ca + 2 × N + 2 × 3 × O

M = 1 × 40.08 g/mol + 2 × 14.01 g/mol + 6 × 16.00 g/mol

M = 164.10 g/mol

Step 2: Calculate the mass corresponding to 0.650 moles of Ca(NO₃)₂

We multiply the number of moles by the molar mass.

0.650 mol × 164.10 g/mol = 107 g


Which term, speed or velocity, gives you more information about an object's motion? Why?

Answers

Answer:

Velocity

Explanation:

Both speed and velocity give speed information but only velocity gives information about the direction. So Velocity is more information. :)

Describe one limitation of geothermal energy?

Answers

Greenhouse gas below Earth's surface can potentially migrate to the surface and into the atmosphere. ... High cost for electricity – Total costs usually end up somewhere between $2 – 7 million for a 1 MW geothermal power plant.

Imagine you are going to eat your lunch soon. How did that stuff you eat originally get transformed into food by the plants or animals in the first place?

Answers

It got planted and went into the process of the specific foot item

All of the statements describe hydrogen bonds EXCEPT: a. Hydrogen bonds account for the anomalously high boiling point of water. b. In liquid water, the average water molecule forms hydrogen bonds with two to three other water molecules. c. Individual hydrogen bonds are much weaker than covalent bonds. d. Individual hydrogen bonds in liquid water exist for many seconds and sometimes for minutes. e. The strength of a hydrogen bond depends on the linearity of the atoms involved in the bond.

Answers

Answer:

The correct option is e

Explanation:

Hydrogen bond is an intermolecular interaction/bonding that are formed between an electronegative atom (such as nitrogen, oxygen and fluorine) and a hydrogen atom. They are weak intermolecular bonds compared to covalent bonds but account for the high boiling point of water because of the strong hydrogen bond presence between the water molecules. Water molecules form hydrogen bonds between each other; since an oxygen atom (in a water molecule) has two lone pairs on it's outermost shell, it forms an hydrogen bond with two hydrogen atoms of other water molecule. Due to the fluidity of liquid water molecules, hydrogen bonds keep getting broken (although recreated/formed almost immediately), hence, individual hydrogen bonds in liquid water does not exist for long.

In the explanation above, it was stated that the strength of the hydrogen bond in water is the reason for it's high boiling point. The atoms in a water molecule are bent NOT linear hence the strength of hydrogen bond does not depend on the linearity of the atoms involved in the bond.

At elevated temperatures, methylisonitrile (CH3NC) converts to acetonitrile (CH3CN): CH3NC(g) --> CH3CN(g) At the start of the experiment, there are 0.200 mol of reactant (CH3NC) and 0 mol of product (CH3CN) in the reaction vessel. After 25 min of reaction, 0.108 mol of reactant (CH3NC) remain. The average rate of decomposition of methyl isonitrile, CH3NC, in this 25 min period is __________ mol/min. A. 3.7 x 10-3 B. 0.092 C. 2.3 D. 4.3 x 10-3 E. 0.54

Answers

Answer:

A. 3.7 x 10⁻³

Explanation:

In the beginning of the reaction there are 0.200 moles of reactant. After 25 minutes, remain 0.108 moles. That means the moles that wer descomposed are:

0.200 moles - 0.108 moles = 0.092 moles of reactant were descomposed.

That descomposition occurs in 25 minutes. The average rate of descomposition in moles / minute are:

0.092 moles Methyl isonitrile / 25 minutes = 3.7x10⁻³ mol/min.

Right option is:

A. 3.7 x 10⁻³

Why do scientists use the scientific method?
A. It helps them analyze their data.
B. It helps them come up with testable scientific question.
C. It helps them prove their hypotheses.
D. It helps them avoid mistakes and produce reliable information.

Answers

Answer: D; It helps them avoid mistakes and produce reliable information

Explanation:

It says correct on my APEX test

What tool do you use to measure mass?

Answers

Answer: Balance

Explanation:  Mass is the amount of matter contained in a body.

Which of the following features describe your graph? Check all that apply. appropriate title of graph showing the effect of changing temperature on the volume of a gas appropriate axes titles time on the x-axis as the independent variable temperature on the y-axis as the dependent variable data sets are all at equal intervals on each axis range on both axes cover data points in such a way that there is not too much extra space on the graph

Answers

Answer:

you'll be fine if you mark all or one, it's really up to you

Explanation:

did it on edgenuity

Using a ruler, you measure the length of a rectangle to be 12.75 cm and the width to be 3.64 cm. Calculate the area of this rectangle

Answers

Answer:

46.41 cm

Explanation:

Area is length times width. Multiply 12.75 by 3.64 to get your answer. Don't forget to label it as cm!

A mass of 2 kg of acetylene is in a 0.045 m3 rigid container at a pressure of 4.3 MPa. Use the generalized charts to estimate the temperature.

Answers

Answer:

361 K

Explanation:

From the tables:

[tex]P_r=4.3/6.14=0.7,T_c=308.3\ K, R=0.2193\ kJ/kgK\\\\Volume (V)=0.045m^3, mass(m)=2kg\\\\v=V/m=0.045/2=0.0225\ m^3/kg[/tex]

Given that:

[tex]v=\frac{ZRT}{P}[/tex]

From the charts, at [tex]P_r=0.7,Z_g=0.59,T_r=0.94[/tex]

[tex]v_g=\frac{0.59*0.3193*0.94*308.3}{4300}=0.0127\ m^3/kg\ which\ is\ small\\ \\At\ T_r=1,Z=0.7,v=\frac{0.7*0.3193*1*308.3}{4300}=0.016\ m^3/kg\\\\At\ T_r=1.2,Z=0.86,v=\frac{0.86*0.3193*1.2*308.3}{4300}=0.0236\ m^3/kg[/tex]

Interpolating, we get [tex]T_r=1.17[/tex], T = 361 K

In the firs reaction of glycolysis, glucose is converted to _________. The phosphate comes from __________.
A __________ is an enzyme that transfers the terminal phosphate of _________ to a substrate. The product of this reaction is then ______________ to fructose-6-phosphate.
Fructose-6-phosphate is then phosphorylated by a second __________ reaction, giving ___________.

Answers

Answer:

EMP Pathway - Embden Meyerhof Parnas Pathway

Answer:

glucose 6-phosphate; ATP

kinase; ATP; isomerized

kinase; fructose 1,6-bisphosphate

Explanation:

What is the [A-]/[HA] ratio when the weak acid is in a solution two pH units above its pKa?a. 5:1b. 10:1c. 100:1d. 1:10e. 1:2

Answers

Answer:

c. 100:1.

Explanation:

Hello,

In this case, considering the Henderson-Hasselbach equation:

[tex]pH=pKa+log(\frac{[A^-]}{[HA]} )[/tex]

And the pH two units above the pKa:

[tex]pH=pKa+2[/tex]

We obtain the required ratio as follows:

[tex]pKa+2-pKa=log(\frac{[A^-]}{[HA]} )\\\\\frac{[A^-]}{[HA]} =10^2=100[/tex]

Which is also a c. 100:1 ratio containing 100 parts of base per 1 part of acid.

Regards.

According to Henderson - Hawelbach equation:

[tex]\to pH = pka + \log (\frac{A^{-}}{HA})...........(a)[/tex]

According to question pH two unit above pka:

[tex]\to pH = pka + 2[/tex]

Put value of PH is equation (a)

[tex]\to pKa+2=pKa+ \log (\frac{A^{-}}{HA})\\\\\to 2= \log (\frac{A^{-}}{HA})\\\\\to (\frac{A^{-}}{HA})= 10^2\\\\\to (\frac{A^{-}}{HA})= 100\\\\[/tex]

So, the ratio is [tex][100 : 1][/tex]

Therefore, 100: 1 Ratio containing 100 part of base per 1 part of acid.

Learn more:

brainly.com/question/3934133

Why do Christians call Jesus "the Christ”? Christ comes from the Greek word for Messiah. Christ comes from the Greek word for salvation. Christ comes from the Latin word for Nazareth. Christ comes from the Latin word for Resurrection.

Answers

Answer:

it is A

Explanation:

Its on edge

Christians call Jesus "the Christ” because of the meaning behind the word. The term “Christ” comes from the Greek word “Christos” which means “the anointed one” or “the messiah”.

What is the reason for giving this title to Jesus ?

This title was given to Jesus because of the many prophecies in the Old Testament that foretold of a coming messiah who would save the people of Israel from their enemies and bring peace and justice to the world.

The term “Christ” is also associated with the Latin word “Nazareth”, which is the town where Jesus was born. This further reinforces the idea of Jesus as the messiah, as it was prophesied that the messiah would be born in Bethlehem, which is a town near Nazareth.

Finally, the term “Christ” is also associated with the Latin word “resurrection”. This is because Jesus was believed to have been resurrected from the dead, which was seen as proof of his divine power and the fulfillment of the prophecies about the messiah. This further emphasizes the idea of Jesus as the messiah and savior of the world.

In conclusion, Christians call Jesus “the Christ” because of the meaning behind the word and because of the many prophecies in the Old Testament that foretold of a coming messiah who would save the people of Israel from their enemies and bring peace and justice to the world. The term is also associated with the Latin words “Nazareth” and “resurrection”, which further emphasize the idea of Jesus as the messiah and savior of the world.

Learn more about  Testament  at:

https://brainly.com/question/29841015

#SPJ3

How many significant figures? A) 1234500_______ B) 1230.0_____ C) 0.10220____ D) 34560000______ E) 0.0000302010_______ F) 0.02050______ G) 1.250 x 105_____

Answers

Answer:

A) 5 sig figs

B) 4 sig figs

C) 4 sig figs

D) 4 sig figs

E) 5 sig figs

F) 3  sig figs

G) 5 sig figs

Explanation:

work for G- 1.250 x 105=  131.25

Significant digits/ figures are indeed the number in a value, typically a measure the contributes to the stock's accuracy. It's very first non-zero digit is being used to begin counting significant digits.

Any digits else than zero are relevant. In this, the number of digits is used to express a measurable or calculated amount.

Given:

[tex]A)\ 1234500 \\\\ B)\ 1230.0\\\\ C)\ 0.10220\\\\ D)\ 34560000\\\\ E)\ 0.0000302010\\\\ F)\ 0.02050 \\\\ G) \ 1.250 \times 10^5 \ \ OR\ \ 1.250 \times 105[/tex]

To find:

Significant figures=?

Solution:

For A, there are 5 significant figure.For B, there are 5 significant figure with 1 decimals.For C, there are 5 significant figure with 5 decimals.For D, there are 4 significant figure.For E, there are 6 significant figure with 10 decimals.For F, there are 4 significant figure with 5 decimals.For G, there are 9 significant figure with 8 decimals OR it has 3 significant figure.

Learn more:

brainly.com/question/14804345

What is the atomic mass of element X if 10.69 g XCl3 contains 5.55 g X?

Answers

Answer:

Atomic mass of element X = 115 g/mol (Approx)

Explanation:

Given:

Amount of XCl3 = 10.69 gram

Amount of X = 5.55 gram

Find:

Atomic mass of element X

Computation:

Moles of Cl =  [Mass of Cl / Molar mass of Cl )

Moles of Cl = [(10.69 - 5.55 ) / 35.5]

Moles of Cl = 0.14479 (Approx)

Moles of X = 0.14479 / 3

Moles of X = 0.04826

Atomic mass of element X = 5.55 / 0.04826

Atomic mass of element X = 115 g/mol (Approx)

A gas in a 6.2 mL cylinder has a pressure of 1.4 atmospheres. A piston is pushed in until the gas volume is 3.1 mL, while the temperature remains constant. What's the final pressure of the gas in the cylinder?

Answers

Answer:

2.8 atm.

Explanation:

From the question given above, we obtained the following data:

Initial volume (V1) = 6.2 mL

Initial pressure (P1) = 1.4 atm

Final volume (V2) = 3.1 mL

Final pressure (P2) =?

The final pressure of the gas cylinder can be obtained by using the Boyle's law equation as shown below:

P1V1 = P2V2

1.4 × 6.2 = P2 × 3.1

8.68 = P2 × 3.1

Divide both side by 3.1

P2 = 8.68/3.1

P2 = 2.8 atm

Therefore, the final pressure of the gas cylinder is 2.8 atm

Answer:

2.8 atm

Explanation:

Other Questions
Select the expression that is equivalent to Which of these human activities is most likely to cause the excessive growth of phytoplanktonin the world's oceans?F The use of chemical fertilizers that are carried by runoff into riversG The logging of old-growth forests, which results in erosionA The spraying of chemical herbicides that reduce carbon dioxide in the airJThe mining of fossil fuels, which requires digging underground tunnels Which of the following groups of words are examples of prepositions? A) not only, but also B) before, across, except C) whether, or Two astronauts are floating close to each other in space. Can they talk to each other without using any special device? plsss help me i need help Ralph is leasing a $32,000 car for 36 months. The terms of his lease include an 8.5% interest rate (money factor of 0.00354) and a residual value of 72%. Determine Ralph's approximate monthly lease payment. a. $145.00 b. $230.40 $248.89 d. $443.73 C. Question 1 of 10Why should you always try to identify your purpose before you begin reading?O A. Having a purpose guides and focuses your reading.B. Having a purpose enables you to decode unfamiliar words.C. Having a purpose keeps you from getting behind schedule.D. Having a purpose makes every article more interesting. Simplify 12r + 5 + 3r - 5 A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The members of the choir decided to order from a printing company that charges $3 per shirt, plus a $50 fee for each color to be printed on the shirts. Write an equation that represents the relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order On a test that has a normal distribution of scores, a score of 59 falls two standard deviations below the mean, and a score of 74 is one standard deviation above the mean. If x is an integer score that lies between 2.5 and 3.0 standard deviations above the mean, what is a possible value of x? Hours Worked in a WeekTotal Payment 8$108.00 23$310.50 17$229.50 When I double my number, add four, and then subtract my number and subtract three, I get my number plus one. What is my number? Suppose Cold Goose Metal Works Inc. is evaluating a proposed capital budgeting project (project Beta) that will require an initial investment of $2,500,000. The project is expected to generate the following net cash flows:Year Cash FlowYear 1 $275,000Year 2 $450,000Year 3 $450,000Year 4 $475,000Cold Goose Metal Works Inc.'s weighted average cost of capital is 8%, and project Beta has the same risk as the firm's average project. Based on the cash flows, what is project Beta's NPV?a. -$878,204.b. -$1,153,204.c. -$678,204.d. $1,346,796.Cold Goose Metal Works Inc.'s decision to accept or reject project Beta is indenpendent of its decisions on other projects. IF the firm follows the NPV method, it should _________ project Beta?a. acceptb. reject Which two features are parts of a line graph?A. A dependent variableB. An x-axisC. A series of barsD. A line of best fit What topics are commonly explored in epics? Select 3 options. 10. Which phrase best completes the sentence?tu amiga Carolina no va a ir a la escuela hoy.OA. Lo sientoOB. Es contigoOC. Qu ideaOD. Te gustaria An entrepreneur is an economic resource. a. True b. False What is the problem about water being wasted what are some ways you can help solve the problem how does that harm people on the planet what would you need ? Which two design elements can be found in the U.S. flag? True or False, Valence electrons do NOT determine the chemicalproperties of an atom. *O True False Do you think it is wrong to traffic animals? The HR director at Clearwater Electronics has been asked to advise the board on a proposal to implement a variable compensation plan for top executives in each department. The CFO wants the HR director to explain how the plan will encourage productivity in top management positions. Which statement best explains why a variable compensation plan would help increase performance