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## Write f(x) = 2×2 44x + 185 in vertex form. to write f(x) = 2×2 44x + 185, factor out from the first two terms. next, form a perfect square trinomial keeping the value of the function equivalent: f(x) = 2(x2 22x + 121) + 185 242 the function written in vertex form is f(x) = (x )2 + .

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Answer:

To write f(x) = 2×2 – 44x + 185, factor out   2 from the first two terms.

Next, form a perfect square trinomial keeping the value of the function equivalent:

f(x) = 2(x2 – 22x + 121) + 185 – 242

The function written in vertex form is f(x) = 2 (x –
11
)2 +  -57.

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## Bill bought a new cellular phone. His monthly bill will be \$34.99 each month which includes 100 minutes of use. Additional minutes will cost \$0.23 per minute. Write an equation that represents the cost of the bill C in terms of m, which is the number of minutes used ABOVE the 100 that are included in the base price. a. C = 34.99(m – 100) + 0.23 c. C = 0.23m b. C = 0.23m + 34.99 d. C = 0.23(m – 100) + 34.99

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Answer:

d. C = 0.23(m – 100) + 34.99

Step-by-step explanation:

Let C = X + Y, where

C = Cost of the bill in terms of m

X = First term of the equation

Y = Second term of the equation

X = add additional minutes to \$ 0.23 minus the 100 minutes of use allocated.

X = 0.23 (m – 100)

Y = Base price monthly will be \$ 34.99

Y = 34.99

C = X + Y

C = 0.23 (m – 100) + 34.99

Note: The only possible answer is 0.23 (m – 100) + 34.99, but we must assume that “m” is greater than or equal to 100, that is, Bill consumes at least his 100 minutes assigned by the base price.

Hope this helps!

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## Which statement best describes the controversy between imperialists such as Beveridge and anti-imperialists over the terms of the Treaty of Paris of 1899? They disagreed over the annexation of Cuba. They disagreed over the annexation of Hawaii. They disagreed over the acquisition of the Philippines. They disagreed over the purchase of Puerto Rico and Guam.

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The correct answer is
They disagreed over the acquisition of the Philippines

The republicans didn’t want the Philippines while the Democrats wanted to acquire it. Those against it believed that it would make the US into an imperialist force like those in Europe that they believed were evil, while the Democrats wanted more land and more resources, claiming that they would help the people of Philippines.

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## An accelerometer is a device that uses the extension of a spring to measure acceleration in terms of Earth's gravitational acceleration (g). What is the approximate acceleration if this accelerometer spring is extended just 0.43 centimeters?

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An accelerometer is a device that uses the extension of a spring to measure acceleration in terms of Earth’s gravitational acceleration (g). What is the approximate acceleration if this accelerometer spring is extended just 0.43 centimeters?

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## Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n) = –6 + (n – 1)(6)

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Find the first, fourth, and tenth terms of the arithmetic sequence described by the given rule. A(n) = –6 + (n – 1)(6)

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## Which of the following terms could be applied to the united states during the cold war

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Which of the following terms could be applied to the united states during the cold war

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## What is the difference between active transport and diffusion in terms of movement of particles?

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### Answered by answersmine AT 22/10/2019 – 03:14 AM

Active transport is the movement of dissolved molecules into or out of a cell through the cell membrane, from a region of lower concentration to a region of higher concentration. The particles move against the concentration gradient, using energy released during respiration.

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## Which of the following is considered one of the undefined terms of geometry?rayanglelinecircumference

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The last one that’s what I learned

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Posted in Mathematics

For every problem-solving activity it’s crucial that no less than five alternatives be considered. True False

Problem-solving activity includes

1.Understanding the problem,that is nature of the problem, then Completely define in your own way.

2. Determining why this problem has accrued,

3.  Identifying the ways to solve the problem,

4. Prioritizing the given alternatives that is ways  and then arranging the alternatives for a solution,

5. Then applying the best solution or arrangement for the given problem.

There are two ways considered for  problem-solving activity

(1). Trial and Error  (2) Reduction in steps

It totally depends on the kind of problem , which you are solving. There may be Less than  five alternatives  ,equal to  five alternatives or more than  five alternatives to solve the problem.

Option B: False

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Posted in Mathematics

1. Which best describes the relationship between the successive terms in the sequence shown? 9, –1, –11, –21, … a)The common difference is –10. b)The common difference is 10. c)The common ratio is –9. d)The common ratio is 9. 2. A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula? a)1, –5, 25, –125, … b)2, 10, 50, 250, … c)3, –2, –7, –12, … d)4, 9, 14, 19, …

Q1. The answer is a)The common difference is –10.

Let’s calculate the common difference (c):
c = f(n + 1) – f(n)

9, –1, –11, –21, …
-1 – 9 = -10
-11 – (-1) = -11 + 1 = -10
-21 – (-11) = -21 + 11 = -10

Q2. The answer is

c)3, –2, –7, –12, …

f(n + 1) = f(n) – 5
f(n + 1) – f(n) = -5
c = f(n + 1) – f(n)So, the common difference is: c = -5

Let’s check all choices:
a) c = -5 – (-1) = -5 + 1 = -4         INCORRECT
b) c = 10 – 2 = 8                        INCORRECT
c) c = -2 – (-3) = -5
c = -7 – (-2) = -5
c = -12 – (-7) = -5                    CORRECT
d) c = 9 – 4 = 5                          INCORRECT

Posted in Mathematics

A field test for a new exam was given to randomly selected seniors. The exams were graded, and the sample mean and sample standard deviation were calculated. Based on the results, the exam creator claims that on the same exam, nine times out of ten, seniors will have an average score within 6% of 80%. Is the confidence interval at 90%, 95%, or 99%? What is the margin of error? Calculate the confidence interval and explain what it means in terms of the situation.

This may help you

ince the exam creator claims that on the same exam, nine times out of
ten, seniors will have an average score within 6% of 80%, that means
there is a 90% confidence interval.
9 / 10 = .90 = 90%
90% = 1.645
1.645 * .9 = 1.4805
Margin of Error – 1.4805
and The margin of error is the distance from x-bar, the center of the
confidence interval ,to the end of the interval. This distance is 6% of
80% which is given by:
80×6100=4.8
Therefore the margin of error is 4.8% and the confidence interval is:
({80 – 4.8}%, {80 + 4.8}%)

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Posted in Mathematics

Solve in terms of x and Y

To solve for y in terms of x, the y variable must be alone on the left side of the equation. In the sample problem, subtract 8 from each side. The equation then becomes 4y = 1 – 5x.

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## A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

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A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

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## 3. In legislative terms, a bill is a proposal A. for any law. B. made in the House of Representatives. C. made in the Senate. D. that has reached committee for debate.

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3. In legislative terms, a bill is a proposal A. for any law. B. made in the House of Representatives. C. made in the Senate. D. that has reached committee for debate.

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## Determine whether the function is linear or quadratic. identify the quadratic, linear, and constant terms y= (x-5)(5x+4)-5x^2

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Linear means that it is 1st degree, means it has x¹ basically the highest number is 1 for the power of the placeholder

quadratic means it is 2nd degree, means it has x² in it

so expand and simlfiy
(x-5)(5x+4)-5x²=
5x²-21x-20-5x=
-21x-20

so y=-21x¹-20
it’s linear because the squared terms cancel each other out

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## Reduce the fraction to lowest terms. Do not use spaces in your answer.38x^2yz^2/-19xy^2z^3

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Reduce the fraction to lowest terms. Do not use spaces in your answer.38x^2yz^2/-19xy^2z^3

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## Timmy writes the equation f(x) = 1/4x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2x – 2. How does the graph of g(x) compare to the graph of f(x)?

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Timmy writes the equation f(x) = 1/4x – 1. He then doubles both of the terms on the right side to create the equation g(x) = 1/2x – 2. How does the graph of g(x) compare to the graph of f(x)?

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## Photo necessities produces camera cases. they have found that the cost c(x) of making x camera cases is a quadratic function in terms of x. a company discover that it cost 27 dollars to produce 2 camera cases, 105 dollars to produce 4 camera cases, and 675 dollars to produce 10 camera cases. find the total cost of producing 5 camera cases

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We will use
c(x)=ax²+bx+c
sub the points given

when x=2, c(x)=27
27=a(2)²+b(2)+c or
27=4a+2b+c

when x=4, c(x)=105
105=a(4)²+b(4)+c
105=16a+4b+c

when x=10, c(x)=675
675=a(10)²+b(10)+c
675=100a+10b+c

so we gots
27=4a+2b+c
105=16a+4b+c
675=100a+10b+c

eliminate c’s from everybody
multiply first equation by -1 and add to 2nd and 3rd equation
the resulting 2nd and 3rd equations are shown below
78=12a+2b
648=96a+8b
multiply top equation by -4 and add to bottom

-312=-48a-8b
648=96a+8b +
336=48a+0b

336=48a
divide both sides by 48
7=a
sub back

78=12a+2b
78=12(7)+2b
78=84+2b
-6=2b
-3=b
sub back

27=4a+2b+c
27=4(7)+2(-3)+c
27=28-6+c
27=22+c
5=c

c(x)=7x²-3x+5 is da equation
to produce 5 we do
c(5)=7(5)²-3(5)+5
c(5)=7(25)-15+5
c(5)=175-10
c(5)=165

costs \$165 to make 5 camera cases

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## Jared is building a rectangular prism garden box and wants to use soil that he already has in his shed. He decides that he wants the length of the garden box to be 2 feet longer than the width and the height to be 1 foot shorter than the width. Create an expression in terms of x, where x is the width of the garden, to demonstrate the volume of the garden box.

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Jared is building a rectangular prism garden box and wants to use soil that he already has in his shed. He decides that he wants the length of the garden box to be 2 feet longer than the width and the height to be 1 foot shorter than the width. Create an expression in terms of x, where x is the width of the garden, to demonstrate the volume of the garden box.

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## 36/54 in lowest terms???

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36/54 in lowest terms???

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## Under the terms of the treaty of london (1839), britain pledged to protect the neutrality of which small european state?

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The 1839 Treaty of London was a treaty between Great
Britain, Austria, France, Prussia, and Russia, on the one part, and The
Netherlands, on the other. It derives its significance from Article 7 that
leads Britain to protect the neutrality of Belgium in the event of the latter’s
invasion.

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## Find the area of the sector with a central angle of 120° and a radius of 8 inches. leave in terms of ?. a.8 3 ? in2 b.16 3 ? in2 c.32 3 ? in2 d.64 3 ? in2

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I’m assumig you meant ?=pi

so the area of the sector would be the area of the circle times the fraction of the circle that is

the fraction of the circle would be degrees/360 since 360 degrees in a circle
and area of course is pir^2

so
r=8
degrees=120
so
area=pi8^2 times 120/360
area=64pi times 1/3
area=64pi/3
I think you mean 64/3 pi in²
so D is the answer

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## Which of the following terms describes the competition between european powers for colonial territory in Africa

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The Reformation actually started after Columbus’s landing in North America.

Treaty of Tordesillas in 1494 was forced on Spain and Portugal by the Pope. The Pope basically said that all lands in the New World belonged to Spain and all new non-Christian lands in the Eastern Hemisphere belong to Portugal. No other Catholic countries can do anything in those areas without the approval of the owner.

The pope basically drew two lines on the globe setting the border. The western line started at the north pole cut half way through Greenland and ended at the south pole. The new world was everything to the west. Problem is that it ran through a chunk of Brazil which is why Brazil is an ex-Portuguese colony.

The Eastern line starts at the North Pole runs through siberia, through the pacific just west of Japan, and cuts Australia in half. Of course, Australia hadn’t been discovered yet. Everything to the the east of this line is the new world.

Obviously, this treaty didn’t hold up well, but the reformation gave the protestant countries an excuse to explore the new world since they didn’t have to take orders from the Pope. Even so, France, a catholic country, ignored it too.

Really, the only country that was effected by the reformation in the exploration of the Americas was England. All the other countries, changed their religion once and then went to war with the nearest catholic country. Sweden became Lutheran and stayed that way. The Dutch Republic became Calvinists and stayed that way.

England kept switching. First it was Catholic. Then, Henry VIII made it protestant. Then, Henry’s daughter Mary I made it catholic again. Henry’s other daughter Elizabeth I (with the two hit movies) made it Protestant again.

Years latter, Oliver Cromwell over through the monarchy, executed the King Charles I, and established a Protestant fundamentalist religious military dictatorship. He outlawed drinking,smoking, gambling, theater, dirty books, sports, prostitution, and anything generally fun. He would have made Saudi Arabia proud. Basically, all you could do is work, pray, and die. Sex was allowed for creating children, but you couldn’t enjoy it.

When Cromwell died, the people of England said enough was enough and brought back the King. Charles II kicked out the fundamentalists and brought back drinking, smoking, gambling, dirty books, sports, prostitution, and having fun during sex. Incidentally, those were also all his hobbies.

This brings us to the famous Pilgrims. They were part of Cromwell’s crowd. They kept agitating a return to the no-fun policy. They annoyed everybody. They weren’t persecuted for practicing their religion, they were persecuted because they kept trying to force their religion on everyone else. Sort of like Southern Baptists.

Charles II was the most easy going monarch in British history. Do realize how annoying you have to be to get him to throw you out.

Charles’s brother James II was obsessed with turning Great Britain catholic again. After four years of trying, they kicked him and his followers out.

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## ILL GIVE YOU A BRAINLIEST BUT ONLY IF YOURE RIGHT EVERYONE WHO HAS ANSWERED THIS QUESTION HAVE ALL BEEN WRONG SO PLEASE HELP Find the first four (4) terms of the sequence if an=an-1-4 and a1=3. A. 3, 7, 11, 14 B. –4, –1, 2, 5 C. 3, –1, –5, –9 D. 7, 3, –1, –5

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The polinomials only can have positive whole exponents, that is: 1, 2, 3, 4, 5, 6, … (you can include 0 also, because it iis the independent term).

So, if you are told that one term of the polynomial is 9 x ^ (negative something), it is necessary that the number after the negative sign be negative, given that negative times negative is positive.

Therefore, the only possible option from the answer choices is the option 3) -9.

Answer: 3) – 9

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## Reduce the ratio 8/12 to the lowest terms

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Find the distance between them
distance between (x1,y1) and (x2,y2) is

so distance between (-2,4) and (18,-6) is

D=10√5

so in ratio 3:7
3+7=10
3/10 of 10√5 is 3√5

I’m thinkin you want R then Q then S such that RQ:QS=3:7
so
distance from R to Q is 3√5
Q is (x,y)
R is (-2,4)
D=3√5

square both sides

now, ithas to be on the line that R and S are on
do some simple math
slope is rise/run=-10/20=-1/2
y=-1/2x+b
4=-1/2(-2)+b
4=1+b
3=b
y=-1/2x+b

sub that for y in our other equation ()

I’m too lazy to show you expanstion and whatnot so I’ll give you the solution
we get (after some manipulation)
0=x²+4x-32
what  2numbers multiply to get -32 and add to get 4?
-4 and 8
0=(x-4)(x+8)
set to zero

0=x-4
4=x

0=x+8
-8=x
but wait, -8 is not between -2 and 18 so it can’t be

so x=4

remember, y=-1/2x+3
sub that to get y=-1/2(4)+3=-2+3=1

the point is (4,1)
apologies for mishap

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## Kenya has a climate that is good for growing coffee. Catherine is a farmer in Kenya, and she decides to grow only coffee on her land. Which of the following terms best describes what Catherine is doing? A. specializing B. diversifying C. stopping D. irrigating

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Answer:

Americans will pay more for goods produced in Mexico in 2011.

Explanation:

This is a situation of devaluation of the dollar in relation to the Mexican peso. If in 2009 the dollar was worth 16 pesos, but in 2011 it is 14, it means that the purchasing power of the dollar in relation to the Mexican peso has decreased, although it is still high.

In that case, for an American to buy products produced in Mexico in 2011, he or she will spend a little more dollars than he or she would spend in 2009. This is common, since the currencies fluctuate according to the financial market . Thus, the dollar can be valued or devalued, as happened in this example.

If, for example, in 2015 the dollar will buy 20 pesos, it will mean that the dollar appreciated in relation to the peso, increasing the purchasing power of Americans for Mexican products.

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## PLEASE HELP Find the first four (4) terms of the sequence if an=an-1-4 and a1=3. A. 3, 7, 11, 14 B. –4, –1, 2, 5 C. 3, –1, –5, –9 D. 7, 3, –1, –5

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PLEASE HELP Find the first four (4) terms of the sequence if an=an-1-4 and a1=3. A. 3, 7, 11, 14 B. –4, –1, 2, 5 C. 3, –1, –5, –9 D. 7, 3, –1, –5

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## You are to create a story for a child of 5-6 years old. You will explain the brain and its functions to them. You need to use the following terms and explain their functions in simple terms. Use the format of a story to keep the child interested, and be sure to use illustrations. Add characters (Dora, Superman, etc.) to make the information fun.

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Answer:

1) Water has very high specific heat.

2) It expands when it freezes

3) ability to dissolve in ionic substances

4) Water molecules at the surface experience fewer hydrogen bonds than water molecules within the liquid.

Explanation:

1) Water molecules due to their high specific heat , undergo relatively less increase in temperature after absorbing heat. So they prevent their adjoining area to experience sharp increase in temperature.

2) Water is an example which expands on freezing. In it , large spaces are left between molecules when it cools. It happens because hydrogen bonds prevent any two molecules to come very close thereby  creating gaps. This gap is filled up when ice melts , which results in overall reduction in volume of water.

3) Uneven distribution of charge results in water molecules becoming polar in nature . A polar substance  can be dissolved in polar solvents only.

4) It is due to property of surface tension. Property  of surface tension results due to molecules of water near the surface experiencing a  net downward  force due to hydrogen bonds . It is due to fewer hydrogen bonds made by them.

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## What is the relationship between the term BC and AD and the terms BCE and CE?

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Answer:

Noninvolvement in world affairs is termed “isolationism”.

Explanation:

Isolationism is a concept that designates a political inclination that defends the isolation and nonintervention of a country in international conjunctural issues. That is, putting it in simpler terms, isolationism proposes that a country does not intervene in any way in an external conflict that afflicts another nation or group of nations so that it does not end up affecting their interests.

Basically, isolationism causes that the country that adopts this position is totally isolated from everything that happens in the rest of the world so that nothing affects it in its possible benefits.

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