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## The Fugitive Slave Act ______________________ . a. stated that slaves who crossed onto free soil were considered free c. required all citizens to help in the capture of runaway slaves b. established the underground railroad and charity organizations to help slaves gain freedom d. declared that slaves were property and could not bring court cases against free men

The Fugitive Slave Act ______________________ . a. stated that slaves who crossed onto free soil were considered free c. required all citizens to help in the capture of runaway slaves b. established the underground railroad and charity organizations to help slaves gain freedom d. declared that slaves were property and could not bring court cases against free men

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## . Explain how trigonometry can be used to determine the height of a cell phone tower. Be sure to list the tools required and how they will be used.

Well a cellphone tower has angles and it has a distance so it is possible to use trigonometry to determine its height. tools to be used are maybe a calculator, measuring tape, paper, and a pencil or pen

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## The number of hours required to do a painting job is represented by the function f(x)=2/x, where f(x) gives the number of hours and x is the number of painters doing the job. How much time will {4, 10, 14, 16, 18} workers take to do the job? a.{1.0, 0.9, 0.8, 0.7 0.2} b.{0.9, 0.8, 0.6, 0.4, 0.1} c.{0.9, 0.84, 0.73, 0.59, 0.2} d.{0.5. 0.2, 0.14, 0.125, 0.11}

the numbers given in the brackets thing the {4,10,14,16,18} is the domain, the number of people possible, substitute them to find the range

f(4)=2/4=1/2=0.5
f(10)=2/10=0.2
f(14)=2/14=1/7=0.142
f(16)=2/16=1/8=0.125
f(18)=2/18=1/9=0.1111

so the time would be {0.5,0.2,0.14,0.125,0.11}

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## A step accasionally required to repair damaged relationships is

A step accasionally required to repair damaged relationships is

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## Calculate the speed with which the moon orbits the earth given the distance from earth to moon as R = 3.84 · 108 m. (Astronomers note that the true orbital period of the moon, is 27.3 Earth days. Interestingly, this would mean that there are approximately 13 months in a year. Use the 27.3 days/month for T – the time required for one revolution in your calculation.)

This sounds pretty easy, in fact. The orbital motion can be assumed to be circular and with constant speed. Then, the period is the time to do one revolution. The distance is the length of a revolution. That is 2*pi*R, where R is the distance between the Moon and the Earth (the respective centers to be precise). In summary, it’s like a simple motion with constant speed:

v = 2*pi*R/T,

you have R in m and T is days, which multiplied by 86,400 s/day gives T in seconds.

Then v = 2*pi*3.84*10^8/(27.3*86,400) = 1,022.9 m/s ~ 1 km/s (about 3 times the speed of sound 🙂

For the Earth around the Sun, it would be v = 2*pi*149.5*10^9/(365*86,400)~ 29.8 km/s!

I know it’s not in the problem, but it’s interesting to know how fast the Earth moves around the Sun! And yet we do not feel it (that’s one of the reasons some ancient people thought crazy the Earth not being at the center, there would be such strong winds!)

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## White gold is an alloy that typically contains 45.0% by mass gold and the remainder is platinum. if 154 g of gold are available, how many grams of platinum are required to combine with the gold to form this alloy?

Percent by mass of platinum in white gold = 100% – 45% = 55%

We let x be the mass of the white which is 45% gold and 55% platinum.

Mass of gold in white gold = m x 0.45

where m is the total mass.

From the given above, we formulate the equation that would allow us to determine the mass of white gold.
154 = x (0.45)
x = 342.22 g

Then, we determine the amount of platinum.
mass of platinum = (342.22 g)(0.55)
mass of platinum = 188.22 grams

Thus, 188.22 grams of platinum is needed.

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## Down under boomerang, inc., is considering a new three-year expansion project that requires an initial fixed asset investment of \$2.64 million. the fixed asset will be depreciated straight-line to zero over its three-year tax life, after which time it will be worthless. the project is estimated to generate \$2,060,000 in annual sales, with costs of \$755,000. the tax rate is 35 percent and the required return on the project is 13 percent. what is the project’s npv?

To answer this problem, 1st let us calculate
the total annual cash flow.

We define the given variables:

Annual Income = \$2,060,000

Annual Cost = \$755,000

Annual Profit = \$2,060,000 – \$755,000 = \$1,305,000

Annual Tax = \$1,305,000 * 0.35 = \$456,750

Depreciation = \$2.64 million / 3 = \$880,000

Savings from Depreciation = \$880,000 * 0.35 = \$308,000

Therefore,

Annual Cash Flow = Annual Profit + Savings from
Depreciation

Annual Cash Flow = \$1,305,000 + \$308,000

Annual Cash Flow = \$1,613,000

The present value of annuity is:

P = A [1 – (1 + i)^-n ] / i

P = \$1,613,000 [1 – (1 + 0.13)^(-3)] / 0.13

P =
\$3,808,539.14 = NPV

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## Montoya manufacturing has fixed costs of \$3,000,000 and variable costs are 40% of sales. what are the required sales if montoya desires net income of \$300,000?

Fixed costs = \$3,000,000
Variable costs = 40% of Sales
Sales – x
Net income = \$300,000
3,000,000 + 0.4 x + 300,000 = x
3,300,000 = x – 0.4 x
0.6 x = 3,300,000
x = 3,300,000 : 0.6
x = 5,500,000
We can prove it:
3,000,000 ( FC )+ 2,200,000 ( VC ) + 300,000 = 5,500,000
The required sales for Montoya manufacturing: \$ 5,500,000.

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## Who is required by law to wear a uscg-approved pfd when on deck of 23-foot motorboat that is underway on a public lake?

The correct answer to this is that:

The Federal Regulation states that for this case “Children
12 years old and under must wear an approved personal floatation device”

For vessels
longer than 16 feet, types 1 to 5 of PFD should be aboard the boat.

Type 1: offshore
life jackets

Type 2: Near-shore
vests

Type 3:
Flotation aids

Type 4:
Throwable devices

Type 5:
Special use devices or Hybrid PFDs

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## Equipment was acquired at the beginning of the year at a cost of \$465,000. the equipment was depreciated using the straight-line method based on an estimated useful life of 15 years and an estimated residual value of \$45,000. required: a. what was the depreciation for the first year? b. assuming the equipment was sold at the end of the eighth year for \$235,000, determine the gain or loss on the sale of the equipment. c. journalize the entry to record the sale. refer to the chart of accounts for exact wording of account titles.

Employee                                 Mary      Zoe         Greg         Ann           Tom

Cumulative Pay                       \$6,800   \$10,500  \$8,400    \$66,000   \$4,700

Pay subject to FICA S.S.         \$421.60  \$651.00  \$520.80 \$4092.00 \$291.40
6.2%, (First \$118,000)

Pay subject to FICA Medicare \$98.60 \$152.25    \$121.80    \$957.00    \$68.15
1.45% of gross

Pay subject to FUTA Taxes      \$40.80  \$63.00     \$50.40    \$396.00  \$28.20
0.6%

Pay subject to SUTA Taxes   \$367.20  \$567.00  \$453.60  \$3564.00 \$253.80
5.4% (First \$7000)

Totals                                     \$928.20 \$1,433.25 \$1,146.60 \$9,009.00 \$641.55

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## 6. What is a major corporation that includes a number of smaller companies in unrelated industries? a consumer mandate a franchise a conglomerate none of the above 7. What was “white flight”? middle-class white Americans leaving the cities for the suburbs rural poor moving to the cities middle-class white Americans leaving the suburbs for the cities urban poor moving to the country 8. In this case, the Supreme Court required criminal courts to provide free legal counsel to those who could not afford it. Gideon v. Wainwright Miranda v. Arizona Baker v. Carr Brown v. Board of Education 9. In 1896, in _______, the Supreme Court ruled that a Louisiana law requiring “separate but equal” public accommodations was constitutional. Sweatt v. Painter Plessy v. Ferguson Morgan v. Virginia Brown v. Board of Education of Topeka 10. Who gave the “I Have a Dream” speech during the march on Washington? A. Philip Randolph Robert Moses Martin Luther King, Jr. Bayard Rustin

Industrialization led to rising imperialism because
1) show of power: As one makes new technology, they would either want to test it out or show the other nations that what they produce is ground-breaking and the best. Usually if it is military technology, you would want to test it out, and with the use of “show of force”, can have people groups submit to your country.
2) Better technology: As technology advances, it usually makes something easier. In the case of imperialism, better military advances meant that they could (once again) have other people submit to you
3) Better transportation: This meant that you could take multiple countries at once, and can prove that you’re country is great by having supplies shipped over long distances to keep your troops up. If in need of more troops, you could send more.

hope this helps

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## What was the name given to a series of laws that closed Boston harbor required colonist to put up British soldiers in their homes and allowed British officials accused of crimes to be tried in Britain

The Songhai leader who left a
Under his governance, he began organizing his land by setting up regions which
were under the leadership of governors together with their armies under the
ruling of a general and an admiral.  He
also began setting departments and offices for finance, justice, interior, agriculture,
etc. He indeed strengthened the administrative system of what his predecessor
had left unorganized.  After a lot of
quests and changes in his governance, he was able to expand and strengthened
his empire. In 1528, he was defeated and overthrown by his son, Askia Musa.

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## What net force is required to push a sofa with a mass of 59 kilograms so that it accelerates at 9.75 meters/second2? (Assume a flat, frictionless surface.)

The gravitational force Fg between two objects is given by the equation:

Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies.

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface.

m₁=10 g=0.01 kg is the mass of the pencil
m₂=20 g=0.02 kg is the mass of the eraser
r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h.

So the time for the pencil and eraser to touch is T=1.3449 hours.

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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## What are the role, responsibilities, and required background of the production designer of a film?

What are the role, responsibilities, and required background of the production designer of a film?

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## The addition of 435.2 j of heat is required to raise the temperature of 3.4 g of olive oil from 21?c to 85?c. what is the specific heat of the olive oil?

The addition of 435.2 j of heat is required to raise the temperature of 3.4 g of olive oil from 21?c to 85?c. what is the specific heat of the olive oil?

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## True or False: You are not required to carry a Florida Insurance I.D. Card when driving if you don’t have a prior traffic citation or collision.

Private Mortgage Insurance (PMI) is an added insurance
policy that protects the lender if you are unable to pay your mortgage.
As a borrower, Lonette and Al should put down at least 20% so that they can
avoid paying PMI. Therefore,

Minimum down payment = 0.20 * \$36,750

Minimum down payment = \$7,350

They should pay \$7,350 to avoid paying PMI.

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## Careful driving requires appropriate reaction time, both simple and complex. Braking, and then shifting gears, followed by signaling, and then hitting the horn are examples of ______________ reaction time and are usually required in most driving situations.

Careful driving requires appropriate reaction time, both simple and complex. Braking, and then shifting gears, followed by signaling, and then hitting the horn are examples of ______________ reaction time and are usually required in most driving situations.

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## Under what circumstances would a firm be more likely to buy the required number of bonds

Under what circumstances would a firm be more likely to buy the required number of bonds

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## Which of the following is true about problem-and-solution essays? A. They are the most common type of writing prompt required of students. B. They are only written in classroom settings. C. They are a type of expository writing. D. They use only one type of organizational structure.

Here are a few pointers; hope this is useful)

Ovation-by definition- is show of appreciation from an audience, for a person’s accomplishments or flaw.

“Everyone deserves a standing ovation because we all overcometh the world.”

A person’s accomplishment could be how they made a positive change in this world, strong leadership- that makes them a effective leader or simply helping others. A person’s flaw- mistakes in life, sin or even guilt should also be considered an appreciation- an ovation for representing mankind’s flaw and that humanity makes mistakes, fulfilling at least one deadly sin such as greed, lust, selfishness etc.

Thus, regardless of a person’s achievement or flaw- a person deserves an applause for, not the least, living in this society and this world that we are all living together and dying together.

That was just the introduction.. the best part is yet to come.. now it’s your turn!!

Shakespeare’s famous line “All the World’s a stage. That agrees with your line: “Everybody deserves a standing ovation…”

Shakespeare explains that men and women are like players: they live, and die, some being celebrated and some forever living in solitude till their death. Shakespeare states the world is a “stage” which symbolizes that mankind is in its peak. The world is changing everyday: little by little and humanity is falling behind.
Due to our world turning into machinery: factories, an automotive future: where humans only job to live (entrance) and to die (exit) the famous humans remembered and the flawed not recalled.

This is according to Shakespeare’s imagery.

I don’t know what grade your in, but I think simplifying Shakespeare’s word of mouth in your essay would be handy and useful as it has strong references of your quote, and agrees strongly in your essay.

Hope this helps 🙂

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## If 3/4 of a ton of sand covers 2/5 of a playground, how many tons of sand are required to cover the entire playground?

Option A – The mean is the best choice because the data is nearly symmetrical.

Step-by-step explanation:

Given : A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 25 players.

To find : Which measure of center is best to use to determine the expected number of strokes required for the ninth hole?

Solution :

To determine the expected number of strokes required for the ninth hole the best measure of center is the mean of the data as the data is nearly symmetrical about the center point 4 and 5.

We can also find the mean of the data,

Mean is defined as  the sum of observation divided by number of observation.

i.e, Sum of observation is

Referring the dot plot of ninth hole strokes.

Total number of observation n= 25

Therefore, Option A is correct.

The mean is the best choice because the data is nearly symmetrical.

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## Why does Hinduism present thousands of forms of the same god? Since the beginning, the Vedas required it. Followers are able to better relate to Brahma. Many followers confuse it with polytheism. Brahma represents birth, life, and death.

Why does Hinduism present thousands of forms of the same god? Since the beginning, the Vedas required it. Followers are able to better relate to Brahma. Many followers confuse it with polytheism. Brahma represents birth, life, and death.

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## A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 25 players. Which measure of center is best to use to determine the expected number of strokes required for the ninth hole? The mean is the best choice because the data is nearly symmetrical. The median is the best choice because data is clustered. The mean is the best choice because the data is skewed to the right. The median is the best choice because the data is skewed to the left.

Option A – The mean is the best choice because the data is nearly symmetrical.

Step-by-step explanation:

Given : A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 25 players.

To find : Which measure of center is best to use to determine the expected number of strokes required for the ninth hole?

Solution :

To determine the expected number of strokes required for the ninth hole the best measure of center is the mean of the data as the data is nearly symmetrical about the center point 4 and 5.

We can also find the mean of the data,

Mean is defined as  the sum of observation divided by number of observation.

i.e, Sum of observation is

Referring the dot plot of ninth hole strokes.

Total number of observation n= 25

Therefore, Option A is correct.

The mean is the best choice because the data is nearly symmetrical.

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## Antimony (III) sulfide is reacted with excess iron. If 175.6 grams of pure antimony is produced, what mass of antimony (III) sulfide was required to start with? Sb2S3(s) + 3Fe(s)→2Sb(s) +3FeS(s)

This problem is to apply Roult’s Law.

Roult’s Law states that the vapor pressure, p, of a solution of a non-volatile solute is equal to the vapor pressure of the pure solvent, Po solv, times the mole fraction of the solvent, Xsolv

p = Xsolv * Po sol

X solv = number of moles of solvent / number of moles of solution

The solvent is water and the solute (not volatile) is glycerin.

Number of moles = mass in grams / molar mass

mass of water = 132 ml * 1 g/ml = 132 g

molar mass of water = 18 g/mol

=> number of moles of water = 132 g / 18 g/mol = 7.33333 mol

mass of glycerin = 27.2 g

molar mass of glycerin:, C3H8O3: 3 * 12 g/mol + 8 * 1 g/mol + 3*16 g/mol = 92 g/mol

number of moles of glycerin = 27.2g / 92 g/mol = 0.29565

total number of moles = 7.33333 moles + 0.29565 moles = 7.62898 moles

=> X solv = 7.33333 / 7.62898 = 0.96125

=> p = 0.96125 * 31.8 torr ≈ 30.57 torr ≈ 30.6 torr.

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## What force would be required to accelerate a 1,100 kg car to 0.5m/s2

What force would be required to accelerate a 1,100 kg car to 0.5m/s2

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