微積分
極限、導関数、最適化、関数挙動。
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5 draw a line to the pair of multiplication equations that can be used …
The total number of arms on the starfish Anica and her brother see is 35.
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7 examine the following graph: what is the slope? slope =
\(5\)
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8 longdiv 88, with some blank squares and a remainder r.
The remainder \(R\) is \(\boldsymbol{0}\)
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draw the graph of $f(x)=3^{x + 3}$
The graph is an exponential curve with a horizontal asymptote at $y=0$, passing through points $(-4, \frac{1}{3})$, $(-3,1)$, $(-2,3)$, $(-1,9)$, and increasing rapidly to the rig…
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6 the goode family built a rectangular swimming pool in their backyard.…
D. \( 26\frac{1}{4}\text{ ft} \)
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question 4 let $f(x) = 6 + \\sqrt{3x - 9}$. find $f^{-1}(x)$. $f^{-1}(x…
$\frac{(x - 6)^2 + 9}{3}$ (or simplified as $\frac{1}{3}(x-6)^2 + 3$)
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state the end behavior of each function shown. 6. as ( x \to -infty ), …
As \(x ightarrow-\infty\), \(f(x) ightarrow+\infty\) As \(x ightarrow+\infty\), \(f(x) ightarrow+\infty\) ### Problem 7
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evaluate the function for the given value of x. 4. ( g(x) = x^5 + 3x^2 …
\( 31 \) ### Problem 5:
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look at these graphs. southern colonies exports by value * tobacco * ri…
B. The colonies had different growing seasons.
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stimulus text 1: informational article excerpt urban gardens and commun…
Urban gardens help communities by improving nutrition and encouraging social cooperation
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name: date: specific limits, general limits part a consider the followi…
$\lim_{x \to 2^+} g(x) = +\infty$ $\lim_{x \to 2^-} g(x) = -\infty$ $\lim_{x \to 2} g(x) = \text{Does Not Exist (DNE)}$ $\lim_{x \to -2^+} g(x) = -\infty$ $\lim_{x \to -2^-} g(x) …
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the polynomial function ( f(x) ) is graphed below. fill in the form bel…
The degree of $f(x)$ is $\boldsymbol{4}$ and the leading coefficient is $\boldsymbol{positive}$. There are $\boldsymbol{2}$ different real zeros and $\boldsymbol{2}$ relative extr…
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identify the roots and y-intercept of the function below. fill in the s…
$x+4=0 \implies x=-4$ $(x-2)^2=0 \implies x=2$ (double root) ## Step3: List all unique roots Collect distinct real roots: 0, -6, -4, 2
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(\frac{2}{6} \times \frac{1}{3} =) ((multiply the top numbers and then …
\(\frac{1}{9}\)
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use synthetic division to find the result when $4x^4 - 7x^3 + 7x^2 - 12…
synthetic division $$ \begin{array}{r|rrrrr} 1 & 4 & -7 & 7 & -12 & 15 \\ & & 4 & -3 & 4 & -8 \\ \hline & 4 & -3 & 4 & -8 & 7 \\ \end{array} $$ ## Step4: Form quotient and remaind…
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7. a ball is thrown straight upward. the velocity of the ball 2 seconds…
\(-10\) ### PART B:
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question 1-13 how did the gi bill (servicemen’s readjustment act of 194…
It paid for their college and helped them buy homes with low-cost loans.
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matching exponential function graphs to the given characteristics: 12. …
A. <The graph labeled A, an increasing exponential curve with y-intercept 2 and horizontal asymptote y=0>
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2. when elaborating a persuasive essay, you should ____. avoid using te…
B. utilize statistics to prove your point
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9. an exponential function is graphed on the grid. draw the asymptote a…
- y-intercept: $(0,1)$ - Asymptote: $y=0$ - Growth or Decay? Decay
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10. what circumstances cause fear for mama and papa regarding eleanor g…
C. All of the above
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identify the graphical characteristics for the following radical functi…
- $x$-intercept: $x = 0$ - $y$-intercept: $y = 0$ - Domain: $(-\infty, \infty)$ - Range: $(-\infty, \infty)$ - As $x\to+\infty$, $f(x)$ approaches: $-\infty$ - As $x\to-\infty$, $…
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write an equation for this line in slope - intercept form.
$y=-4x+3$
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divide. 9.44 ÷ 1000
\(0.00944\)
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question 12 (1 point) use the chart below to answer the question that f…
Solutions for Pollution in the Canadian Shield
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review it 1. what are five reasons why fewer collisions occur on expres…
1. Five reasons fewer collisions occur on expressways: - Controlled access limits entry/exit points, reducing cross-traffic conflicts. - Higher, consistent speed limits minimize s…
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1 which geographic challenge contributed to germanys defeat and limited…
A. Battles on multiple fronts across the globe
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pcm semester 1 final exam part 2 1. two functions, ( f(x) ) and ( g(x) …
\( f(1) = g(1) \), \( f(2) > g(2) \) ### Problem 1b
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estimate the answer to the following problem. use either rounding or co…
$30$
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in this selection, the author describes the drought problem by stating …
C. to give a relatable situation to help understand the solution to the problem
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by now i couldnt see the trail... i was stuck to him like white on rice…
○ first person
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bell ringer 1/21/26 find the equation of the slant asymptote of the rat…
$y = x - 1$
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find the domain & range of the given graph. 4)
Domain: All real numbers ($(-\infty, \infty)$) Range: All real numbers ($(-\infty, \infty)$)
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match each quadratic function to its graph. \\( f(x) = x^2 + 14x + 44 \…
\( f(x)=x^2 + 14x + 44 \) matches the left - hand graph (with vertex at \( (-7,-5) \) and opening upward). \( g(x)=-x^2 + 2x + 5 \) matches the right - hand graph (with vertex at …
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pregunta 15 (2 puntos) the study of how a society tries to satisfy unli…
Pregunta 15: d. economics Pregunta 16: c. franchise
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find the inverse of the following function. also list the domain and ra…
The inverse function \( f^{-1}(x)=-\sqrt{-x^{2}+4} \) Domain of \( f^{-1}(x) \): \( 0\leq x\leq2 \) Range of \( f^{-1}(x) \): \( -2\leq y\leq0 \)
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pregunta 13 (1 punto) what is the nickname that is given to the federal…
laws prohibit mandatory union membership as a condition of employment, meaning employers cannot require workers to join a union to keep their jobs.
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Question was provided via image upload.
\( f^{-1}(x) = \boldsymbol{x^2 - 2} \) for \( \boldsymbol{x \leq 0} \) and \( \boldsymbol{y \geq -2} \)
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find the inverse of the following function. also list the domain and ra…
\( f^{-1}(x)=x^{2}+2 \) for \( x\geq0 \) and \( y\geq2 \)
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find the inverse of the following function. also, list the domain and r…
The inverse function \( f^{-1}(x)=x^{2}+2 \). The domain of \( f^{-1}(x) \) is \( x\geq0 \) and the range of \( f^{-1}(x) \) is \( y\geq2 \).
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find the inverse of the following function. also list the domain restri…
\( f^{-1}(x)=\sqrt{-x - 2} \) for \( x\leq - 2 \)
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find the slope of the line that passes through (10, 8) and (1, 7). simp…
$\frac{1}{9}$
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hvla algebra 2 mp2 25-26 solving exponential and logarithmic equations …
### Paso 1: Escribir el sistema de ecuaciones Para resolver la ecuación \( 4e^{x^2 + 3x} = x - 3 \) gráficamente, separamos la ecuación en dos funciones: una para el lado izquierd…
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which expressions represent the same amount as 342? choose 2 answers: a…
C. 3 hundreds + 42 ones (Note: There might be a typo in the options. If we assume that Option B was supposed to be 3 hundreds + 4 tens+2 ones, then B and C would be correct. But b…
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if ( p(-2) = 0 ), can the graph shown be the graph of ( y = p(x) )? a y…
C. No, because c would be equal -2, and the point (-2,0) and (3,0) would not be on the graph of \( y = P(x) \)
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find the inverse of the following function. also list the domain restri…
The inverse function \( f^{-1}(x)=-\sqrt{x + 5}-3\) (which is composed of the minus sign, \( \sqrt{x + 5}\), and -3 from the options) and the domain restriction is \( x > - 5\) (u…
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ómo escribir un sistema de ecuaciones para resolver $e^{4 - 3x} = \\fra…
B. \( y=\frac{4}{3}x + 9 \) D. \( y = e^{4 - 3x} \)
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possible points: 12.5 find the inverse of the following function. also …
First box: \(-\) (the negative sign option), then \(\sqrt{x + 2}\), and for the domain: \(x > -2\) (so the first domain box is \(x >\), the second is \(-2\)). So putting it as per…
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the number of people in a line at a time t can be modeled by the cubic …
B. 3
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find the inverse of the function. f(x) = x - 9 write your answer in the…
\( f^{-1}(x)=x + 9 \)
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find g(x), where g(x) is the reflection across the y-axis of f(x) = 9x …
\(g(x)=-9x + 4\) (the option corresponding to this formula)
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find the inverse of the following function. also list the domain restri…
The inverse function \( f^{-1}(x)=-\sqrt{x + 5}-3\)
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question use technology to find points and then graph the function ( y …
Plot the following points on the graph: $(2, 4)$, $(3, 2)$, $(4, 0)$, $(5, 2)$, $(6, 4)$ Connect the points to form a V-shaped graph with vertex at $(4,0)$.
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what are the domain and range of this function? domain: {-5, -3, -1, 0,…
domain: \(\{-5, - 3, - 1, 0, 3\}\) range: \(\{-4, - 3, - 2, 1, 5\}\) (corresponding to the first option among the given choices)
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write the inverse of $f(x) = 5x - 4$? $f^{-1}(x) = \\square \\square$
\( f^{-1}(x)=\frac{x + 4}{5} \) (or \( f^{-1}(x)=\frac{1}{5}x+\frac{4}{5} \))
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find the inverse of the function. \\( y = (x + 5)^2 \\) write your answ…
\( -5\pm\sqrt{x} \)
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the graph shows g(x), which is a translation of f(x) = x². write the fu…
\( g(x) = (x - 5)^2 + 4 \)
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7. which of the following would be an example of logos used in a persua…
The second option (Wearing school uniforms means that all students have the same clothes, easing parents’ task of choosing school cloth...)
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a(c) = 2c - 4 evaluate a(4) type answer here.
4
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f(x) = -2x + 5 evaluate f(-4)
13
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find the average rate of change of the function f(x)=8x from x₁=0 to x₂…
8
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r(x) = \\frac{4}{3}x - 2 evaluate r(-6)
\(-10\)
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b(t) = 4t³ - t² evaluate b(-2) type answer here.
\(-36\)
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the function $f(x)$ is shown on the coordinate plane below. graph of $y…
C. \(f(x)=-x(x - 2)^2(x - 1)(x + 1)\)
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find the average rate of change of the function $f(x)=\\sqrt{x}$ from $…
$\frac{1}{7}$
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graph the following features: • y-intercept = -3 • slope = 3
The graph is a straight line with a y - intercept at the point $(0,-3)$ and a slope of 3. To construct it, plot $(0,-3)$, then use the slope (rise 3, run 1) to find other points (…
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find the average rate of change of the function $f(x)=x^{2}+2x$ from $x…
10
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g(n) = -n² - 3 evaluate g(-2)
\( -7 \)
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what is the slope of a line that is perpendicular to the line whose equ…
$\frac{B}{A}$
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graph the following features: - slope = \\(\\frac{5}{3}\\) - y-intercep…
The graph is a straight line with a y - intercept at $(0, - 3)$ and a slope of $\frac{5}{3}$, passing through points like $(3,2)$ (obtained by moving 3 units right and 5 units up …
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g(y) = y² - 3y evaluate g(6) type answer here
\( 18 \)
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graph the following features: - y-intercept = 1 - slope = 3
# Explanation: ## Step1: Recall slope - intercept form The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Given …
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graph the following features: - slope = \\(\\frac{4}{3}\\) - y-intercep…
The line with equation \(y=\frac{4}{3}x - 4\) is graphed by plotting \((0,-4)\) and using the slope \(\frac{4}{3}\) to find additional points (e.g., \((3,0)\)) and drawing a strai…
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(\frac{sqrt3{9}}{sqrt3{4}})
$\boxed{\dfrac{\sqrt[3]{18}}{2}}$ (or $\boxed{\sqrt[3]{\dfrac{9}{4}}}$ depending on the preferred form)
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the graph of a linear function passes through the points (-10, -14) and…
slope = 1.25 y-intercept = -1.25
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graph the following features: • y-intercept = 1 • slope = -3
To graph the line with y - intercept 1 and slope - 3: 1. Plot the point \((0,1)\) (the y - intercept). 2. Use the slope \(-3=\frac{-3}{1}\): from \((0,1)\), move 3 units down and …
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part of a linear function passes through the points shown in this x | y…
$-3$
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use the given conditions to write an equation for the line in point - s…
Point-slope form: $y+4 = -8(x-1)$ General form: $8x+y-4=0$
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5. 2(3 + 1)² + 10
\(42\)
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4. $3^2×8 - 5 - 1$
66
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3²×8 - 5 - 1 6. ((5 - 3)²)/(2×7 - 5) friend so they can better understa…
\( 66 \) ### Solving \( \frac{(5 - 3)^2}{2\times7-5} \)
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3. 100 - 3(2 + 1)^2
\(73\)
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37 + 5² × 2
\(87\)
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1. $2×3^{2}-5$
13
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you can log out once you get a sticker! what is f(x) when x=6?
\( 4.4 \) (or \( \frac{22}{5} \))
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find the solutions of the quadratic equation $2x^2 + 6x - 2 = 0$. choos…
B. \(-\frac{3}{2}\pm\frac{\sqrt{13}}{2}\)
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multiply and simplify the following complex numbers: (1 + 2i)·(1 - 4i)
\(9 - 2i\)
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write a number that makes this equation true. \\(\\square\\) hundreds =…
4
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when is the vertex a minimum? when is it a maximum?
For a quadratic function (parabola) with equation \( y = ax^{2}+bx + c \) (or vertex form \( y=a(x - h)^{2}+k \)): - The vertex is a minimum when the coefficient of \( x^{2} \) (i…
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evaluate the function for the given value of x. #1 $y = 2(4)^x$ $x = -2…
\( 7 \)
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evaluate the following. 25÷5 + 7 + 4×6.
36
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use the aleks calculator to approximate \\(\\sqrt{95}\\). round your an…
9.75
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fix the inequality below to correctly show the range of the function.
\(-1.67814\leq y\leq2\)
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fix the inequality below to correctly show the range of the function.
-2 ≤ y ≤ 2
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what is the domain of the function? enter your answer as an inequality …
\( -6 \leq x \leq 8 \)
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what is the domain of the function? enter your answer in inequality not…
\( -5\leq x < 10 \)
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what was the greatest challenge the ancestral pueblo people faced when …
C. They depended on farming, and a lack of rain could lead to food shortages.
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fix the inequality below to correctly show the domain of the function. …
\(-1.5\leq x<1\) (or \(-\frac{3}{2}\leq x<1\))
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limits quiz a \\(\\lim\\limits_{x \\to 2} (8 - 3x + 12x^2)\\) b \\(\\li…
A. $\boldsymbol{50}$ B. $\boldsymbol{-15}$ C. $\boldsymbol{0}$ D. $\boldsymbol{10}$ E. $\text{Does not exist}$ F. $\boldsymbol{6}$ G. $\boldsymbol{0}$ H. $\boldsymbol{2}$ I. $\bol…
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which of the following factors most influenced the adoption of largely …
D. The arid Great Basin limited farming opportunities close to major waterways, making permanent settlements undesirable.