Analysis
Grenzwerte, Ableitungen, Optimierung und Funktionsverhalten.
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4. f(x)=tan³x f(x)=3tanxsec²x or f(x)=3tan²xsec²x
$f^{\prime}(x)=3\tan^{2}x\sec^{2}x$
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how did progressive and conservative republicans feel about labor union…
Progressives advocated for labor unions, but conservatives wanted to limit their power.
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2. $f(x)=\frac{x^{3}+2x}{x^{2}}$ $f(x)=\frac{3x^{2}+2}{2x}$ or $f(x)=\f…
$f^{\prime}(x)=\frac{x^2 - 2}{x^2}$
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1. $f(x)=3x^{4}+12x + 1$ $f(x)=12x^{3}+12 + 1$ or $f(x)=12x^{3}+12$ 2. …
1. \(f^\prime(x)=12x^{3}+12\) 2. \(f^\prime(x)=\frac{3x^{2}+2}{2x}\) or \(f^\prime(x)=\frac{x^{2}-2}{x^{2}}\) 3. \(f^\prime(x)=\sec x\tan x\) 4. \(f^\prime(x)=3\tan^{2}x\sec^{2}x\…
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2. why do you think a removable discontinuity (hole) doesnt produce an …
A removable discontinuity is a single - point exclusion and not indicative of the long - term behavior required for an asymptote.
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here is a graph of the function h. use the graph to find the following.…
All values at which \(h\) has a local maximum: \(-1,2\) All local maximum values of \(h\): \(2\)
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given $f(x)=\frac{8}{x}$, find $f(x)$ using the limit definition of the…
$-\frac{8}{x^{2}}$
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which two limits below indicate the end - behavior of the rational func…
\(\lim_{x\to+\infty}f(x)=\infty;\lim_{x\to-\infty}f(x)=-\infty\)
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for questions 20 - 21, find the intercepts and relative extrema for the…
- x - intercepts: \(x = 0\), \(x=\frac{5}{2}\), \(x=-5\) - y - intercept: \(y = 0\) - Relative maximum at \(x=\frac{-5 - 5\sqrt{7}}{6}\) - Relative minimum at \(x=\frac{-5 + 5\sqr…
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questions 20 - 21, find the intercepts and relative extrema for the gra…
x - intercepts: $x=-2, x = 1$; y - intercept: $y=\frac{1}{2}$; relative maximum: $(-1,1)$; relative minimum: $(1,0)$
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18. what did the end of the war mean for those who were previously ensl…
18. Freedom, ability to seek family and new opportunities. Example: Moving to cities for work. 19. Control labor, limit civil rights, maintain white supremacy. 20. Initially, whit…
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calculate the derivative of the following function. y=(3 - e^x)^4 dy/dx…
$-4e^{x}(3 - e^{x})^{3}$
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ap precalculus - 1.7a rational functions and end behaviors. example 1: …
The value that is not in the domain of the function is $x=-4$.
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calculate the derivative of the following function. y=(sec x + tan x)^4…
$4\sec x(\sec x+\tan x)^{4}$
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calculate the derivative of the following function. y = sin(4x^2 + 6x +…
$(8x + 6)\cos(4x^{2}+6x + 2)$
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calculate the derivative of the following function. y = tan(e^x) dy/dx …
$e^{x}\sec^{2}(e^{x})$
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calculate the derivative of the following function. y = cos(11t + 4) $\…
$-11\sin(11t + 4)$
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calculate the derivative of the following function. y = 8(6x^3 + 7)^(-6…
$-864x^{2}(6x^{3}+7)^{-7}$
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given the function y = -3 sin(3√x), find dy/dx.
$-\frac{9\cos(3\sqrt{x})}{2\sqrt{x}}$
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the given function (f(x)) is defined on the interval ((-9,9)) and repre…
5
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question given the function y = 3cos(6 + 6x^3), find dy/dx. answer atte…
$-54x^{2}\sin(6 + 6x^{3})$
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calculate the derivative of the following function. y = √(7x + 15) dy/d…
$\frac{7}{2\sqrt{7x + 15}}$
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calculate the derivative of the following function. y = (4x - 19)^5 \fr…
$20(4x - 19)^{4}$
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question given the function $f(x)=-4cos(3x)$, find $f(x)$. answer attem…
$12\sin(3x)$
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question given the function f(x)=cos(4√x), find f(x). answer attempt 1 …
$-\frac{2\sin(4\sqrt{x})}{\sqrt{x}}$
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let h(x)=f(g(x)) and p(x)=g(f(x)). use the table to compute the followi…
$-\frac{16}{9}$
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for the following composite function, find an inner function u = g(x) a…
C. $u = g(x)=\frac{x}{3}$ and $y = f(u)=\sin u$, $\frac{dy}{dx}=\frac{1}{3}\cos\frac{x}{3}$
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which of the following statements best explains the relationship betwee…
The expansion of the trans - Saharan trade route allowed West African kingdoms to interact economically with Europe and Asia.
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75. y = √f(x), where f is differentiable and nonnegative at x 76. y = ⁵…
For 75: $\frac{f'(x)}{2\sqrt{f(x)}}$ For 76: $\frac{f'(x)g(x)+f(x)g'(x)}{5\sqrt[5]{(f(x)g(x))^{4}}}$
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under 1920s immigration acts, limits on immigration were introduced bas…
nationality
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d) $\frac{d}{dx}(6 + 7t+8t^{2}) = 0$
The left - hand side $\frac{d}{dx}(6 + 7t+8t^{2}) = 0$ holds true because $6+7t + 8t^{2}$ is a constant with respect to $x$, and the derivative of a constant with respect to a var…
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your networking contact list should be limited to family members. pleas…
F
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graph two periods of the given tangent function. y = \\frac{1}{6}\\tan5…
Without seeing the actual details of the graphs A, B and C, we can describe the correct graph characteristics: It should have vertical asymptotes at $x=\frac{\pi}{10},\frac{3\pi}{…
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a rule allowing a three - fifths majority of u. s. senators to set a ti…
b. cloture
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answer attempt 1 out of 2 dne undefined since lim_{x→0^ - }f(x)= and li…
\(\lim_{x\to0^{-}}f(x)=2\), \(\lim_{x\to0^{+}}f(x)=2\), \(\lim_{x\to0}f(x)=2\), \(f(0)=2\), continuous
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why did colonists call the coercive acts the \intolerable acts\? a) the…
A. They did not think it was fair to punish all of the colonies; B. They thought the laws violated the English Bill of Rights
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ai - je bien compris? 1. soit le graphique ci - dessous. a) combien de …
1. a. La fonction est composée de 3 parties. b. Première partie : $[-2;0]$, Deuxième partie : $[0;2]$, Troisième partie : $[2;4]$. 2. a. Première partie : $[0;2]$, Deuxième partie…
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section 2.6: chain rule (homework) score: 160/170 answered: 16/17 quest…
$\frac{1+\frac{1}{2\sqrt{t}}}{2\sqrt{t+\sqrt{t}}}$
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ai - je bien compris? 1. soit le graphique ci - dessous. a) combien de …
1a. 3 parties 1b. Première partie : \([-2,0]\), Deuxième partie : \([0,2]\), Troisième partie : \([2,4]\) 2a. \(0,2,4,6,8,10,12\) minutes 2b. 4 minutes 2c. \([6,8]\) et \([10,12]\)
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section 2.6: chain rule (homework) score: 150/170 answered: 15/17 progr…
\(-7\ln9\cdot9^{-7y + 4}\)
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a product is introduced to the market. the weekly profit (in dollars) o…
$-1266.80$
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section 2.6: chain rule (homework) score: 130/170 answered: 13/17 progr…
$P^{\prime}(t)=-4148te^{-2.08 - 0.0244t^{2}}$; $P^{\prime}(3)\approx - 1256.84$ dollars/week
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section 2.6: chain rule (homework) score: 120/170 answered: 12/17 progr…
$h^{\prime}(2)$ for $h(x)=f(x)\cdot g(x)$ is $16$. $h^{\prime}(2)$ for $h(x)=\frac{f(x)}{g(x)}$ is $0$. $h^{\prime}(2)$ for $h(x)=f(g(x))$ is $8$.
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question 4 of 6, step 1 of 2 6/12 correct graph the following function:…
The third graph (the one with the shape of the tangent - function, which has vertical asymptotes and repeating U - shaped curves)
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question 4 of 6. step 1 of 2 6/12 correct graph the following function:…
The basic function is the tangent function, and its shape is a curve with vertical asymptotes at $x=(n +\frac{1}{2})\pi,n\in\mathbb{Z}$ and a period of $\pi$.
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section 2.6: chain rule (homework) score: 110/170 answered: 11/17 progr…
$\frac{36x^{3}+135x^{4}}{\sqrt{3x^{4}+9x^{5}}}$
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graph the following function: y = \\frac{3}{2}-3\\tan(x) step 1 of 2: i…
The shape of the more basic function is that of the tangent function.
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section 2.6: chain rule (homework) score: 110/170 answered: 11/17 progr…
\(\frac{(36x^{3}+135x^{4})\sqrt{3x^{4}+9x^{5}}}{3x^{4}+9x^{5}}\)
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question find the derivative of the following function. y = e^{-7x^{5}-…
$y'=-35x^{4}e^{-7x^{5}}-28x^{3}$
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question find the derivative of the following function. y = e^{-x^{4}}
$-4x^{3}e^{-x^{4}}$
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given the function $y = 2sqrt4{2x^{2}-2x}$, find $\frac{dy}{dx}$ in any…
\(\frac{2x - 1}{(2x^{2}-2x)^{\frac{3}{4}}}\)
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given the function $f(x)=(4x^{2}+3x - 7)^{-3}$, find $f(x)$ in any form…
$-\frac{3(8x + 3)}{(4x^{2}+3x - 7)^{4}}$
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given the function $f(x)=\frac{1}{sqrt3{6x^{2}+4x + 5}}$, find $f(x)$ i…
$-\frac{12x + 4}{3(6x^{2}+4x + 5)^{\frac{4}{3}}}$
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given the following function, determine the difference quotient, $\frac…
$-7$
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question 3 of 6, step 1 of 2 graph the following function: y = 4 - 2csc…
The shape of the more basic function is that of the cosecant function.
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read the passage and answer the following question. the social contract…
A. Under the social contract, people's rights are protected by law.
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if $f(x)=\frac{1}{(x + 3)^3}$, find $f(x)$ and then compute $f(-1)$. us…
$-\frac{3}{16}$
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read the passage and answer the following question. the social contract…
B. Natural rights and freedoms are replaced by civil rights and freedoms
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what is the relationship between decisions and trade - offs?
Decisions often involve trade - offs because resources are limited and choosing one option means giving up others.
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why was russias influence on the world war i peace process limited? it …
It was disinvited for dropping out of the war.
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let $f(x)=sqrt{3x^{2}+5x + 8}$ $f(x)=$ enter an algebraic expression mo…
$f^{\prime}(x)=\frac{6x + 5}{2\sqrt{3x^{2}+5x + 8}}$ $f^{\prime}(1)=\frac{11}{8}$
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how did the magna carta and the english bill of rights change governmen…
The Magna Carta limited royal power and introduced rule - of - law concepts in England. The English Bill of Rights further restricted the monarchy and protected liberties. In the …
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what impact did the english bill of rights have on the government of gr…
A. It gave Parliament more power than the king.
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how does a direct democracy differ from a representative democracy? a) …
B) The people as a whole make decisions for the community.
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a sign on the road says, \speed limit: 60 miles per hour.\ a. let s be …
a. $s\leq60$ b. Draw a number line with a closed - circle at 60 and shade to the left. c. Yes, because the inequality $s\leq60$ allows $s$ to be equal to 60.
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section 2.6: chain rule (homework) score: 70/170 answered: 7/17 progres…
$f^{\prime}(x)=-12(4x + 6)^{-4}$; $f^{\prime}(2)=-\frac{3}{9604}$
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1. a. select all numbers that are solutions to the inequality (k > 5). …
1. a. 6, 5.2, 5.01 2. a. $s\leq60$ 2. c. Yes, because the inequality is $s\leq60$ and 60 satisfies this inequality as it is equal to 60. For the number - line drawing parts (1. b …
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draw absolute minimum: absolute maximum:
Absolute minimum: $-\infty$ Absolute maximum: $- 2$
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find the value of a that makes the following function differentiable fo…
\(-9\)
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the curve y = ax^2 + bx + c passes through the point (1,9) and is tange…
$a = 5$, $b = 4$, $c = 0$
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(c) find f(0). 9. (8 points) find an equation of the line that is tange…
$y = 3x + 5$
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find the derivative of the function. y = 7e^{-x}+e^{3x} \\frac{dy}{dx}=…
$-7e^{-x}+3e^{3x}$
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section 2.6: chain rule (homework) score: 40/170 answered: 4/17 save pr…
$2(-27x^{8}+6x^{2})e^{-3x^{9}+2x^{3}}$
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(a) sketch a line that is tangent to the graph at (x = 3) on the graph …
(a) Sketch a line touching the curve at \(x = 3\) with the same slope as the curve at that point. (b) \(x = 1,x = 4\) (c) \(-1\)
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(a) sketch a line that is tangent to the graph at x = 3 on the graph ab…
(a) Sketch a line that touches the curve at \(x = 3\) on the given graph. (b) \(x=2,x = 4\)
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let $f(x)=left(\frac{x + 6}{x + 2} ight)^6$. $f(x)=$
$\frac{-24(x + 6)^{5}}{(x + 2)^{7}}$
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section 2.6: chain rule (homework) score: 30/170 answered: 4/17 progres…
$\frac{6(x + 6)^{5}(-4)}{(x + 2)^{3}}$
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find the derivative of the function. y = (8x^2 + 1)/(x^2 + 2) y = □
$\frac{30x}{(x^{2}+2)^{2}}$
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let $f(x)=sqrt{3x^{2}+4x + 7}$ $f(x)=$ $\frac{6x + 4}{2sqrt{3x^{2}+4x +…
\(1.6615\)
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today, almost every career path is open to men, but women are still lim…
T
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find y’ by (a) applying the product rule and (b) multiplying the factor…
$y'=-5x^{4}+33x^{2}-2x - 28$
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find the first and second derivatives. y = \\frac{6x^{5}}{5}-3x + 8e^{x…
First derivative: $\frac{dy}{dx}=6x^4-3 + 8e^x$ Second derivative: $\frac{d^2y}{dx^2}=24x^3+8e^x$
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find the first and second derivatives. s = 4t^3 - 3t^4 \\frac{ds}{dt}=\…
First derivative $\frac{ds}{dt}=12t^{2}-12t^{3}$, Second derivative $\frac{d^{2}s}{dt^{2}}=24t - 36t^{2}$
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what effect did alliances have on world war i? they helped curb conflic…
They pulled many nations into a growing war.
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which statement best describes the authors purpose for writing the arti…
The author wrote this article to inform readers about an unprecedented archaeological finding in Great Britain.
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graph the following function: $y = \\frac{-1}{2} \\csc(2x + \\pi)$ step…
The basic function is $y = \csc(x)$ which has a shape consisting of U - shaped curves separated by vertical asymptotes at $x=n\pi$, $n\in\mathbb{Z}$.
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select the correct texts in the passage. which two details in dalahs ca…
1. Those teachers stock classroom libraries using their own money and donations from crowdfunding sources. 2. They take those books with them when they move to other schools or jo…
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if (f(x)=(5x + 7)^{-2}), find (f(x)). (-10(5x + 7)^{-3}) find (f(2)). (…
$f^\prime(x)=-10(5x + 7)^{-3}$; $f^\prime(2)\approx - 0.002$
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this generation of americans has been tested by crises that steeled our…
to show the American people that success is more fulfilling as a group
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28) describe one wealthy womans philanthropy work during the gilded age…
28) Clara Barton founded the American Red - Cross. 29) Increased access to education, women's clubs, and social reform movements. 30) Jane Addams; Hull - House. 31) Educational op…
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the function y = f(x) is graphed below. what is the average rate of cha…
$\frac{25}{6}$
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what social or community problem do you think needs greater attention? …
Income inequality. It creates disparities in access to essential services and limits social mobility, which can have far - reaching negative impacts on society and the economy.
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the rise of modern japan quiz complete 1 2 3 4 5 6 7 8 9 why did meiji …
They wanted to limit western influence in Japan.
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question 1 which of the following is a key benefit of an llc? guarantee…
D. Pass - through taxation with liability protection
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question 5 what is one main advantage of incorporating a business? lowe…
Limited liability protection
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question 4 why are written partnership agreements important? they lower…
They clarify profit - sharing, roles, and dispute resolution
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question 3 in a general partnership, how are liabilities handled? only …
All partners share unlimited liability
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what is the meaning of the word in bold? president calvin coolidge was …
D. deliberately avoiding intervention
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the right of accused persons to be brought before a judge to hear the c…
D. habeas corpus
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the rights and liberties that all people have by virtue of being human;…
individual rights