微积分
极限、导数、最优化与函数性质。
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topic 3 characteristics of polynomial functions skills practice continu…
(for Problem 9 and 10): ## Problem 9: \( g(x)= -(-x + 1)^3 - 1 \)? Wait, no, from step 2, we found \( g(x)= -f(x + 1) \) where \( f(x)=x^3 \), so \( g(x)= - (x + 1)^3 \). Let's ve…
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topic 3 characteristics of polynomial functions skills practice continu…
For problem 7: \( \boldsymbol{g(x)=-f(x)+2} \) (matches the graph with \( (0,2),(1,1),(2,-6) \)) For problem 8: \( \boldsymbol{g(x)=2f(x - 3)} \) (matches the graph with \( (3,0),…
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drag the item from the item bank to its corresponding match. not all ch…
1. "This amendment passed in 1933 repealed the prohibition of alcohol, the 18th amendment." → 21st Amendment 2. "This amendment to the constitution allowed citizens 18 years and o…
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graph the function. $f(x) = -2x^2$ plot five points on the graph of the…
The five points are \((-2, -8)\), \((-1, -2)\), \((0, 0)\), \((1, -2)\), \((2, -8)\). Plot these points and draw the downward - opening parabola through them.
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how does due process limit the government’s police power? a. it require…
A. It requires the government to follow certain procedures before punishing a person
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3 c(x) = x³ g(x) = ¼c(x) reference points on c(x) (0, 0) (1, 1) (2, 16)…
The corresponding points on \( g(x) \) are (0, 0), (1, \(\frac{1}{4}\)), and (2, 4). (If we assume the table's (2,16) is a typo and should be (2,8), then (2,2). But based on the g…
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topic 3 characteristics of polynomial functions skills practice continu…
For the point \((0,0)\) on \(m(x)\), the corresponding point on \(p(x)\) is \((1,0)\); for \((1,1)\) on \(m(x)\), the corresponding point on \(p(x)\) is \((2,1)\); for \((2,16)\) …
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the us government gave land to the railroads to help them expand. what …
The grants allowed industries in the West to grow because they encouraged settlement and new industrial opportunities.
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topic 3 characteristics of polynomial functions skills practice continu…
The corresponding points on \( n(x) \) are: - For \((0, 0)\): \((0, 4)\) - For \((1, 1)\): \((1, 5)\) - For \((2, 16)\): \((2, 20)\) (If we are filling the table, the table would …
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15. an ___________________________________ is the cost incurred while g…
15. expense; costs 16. Salaries 17. profit 18. loss 19. A system where revenue is distributed among multiple parties (e.g., teams, leagues, or partners) 20. A limit on the total a…
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8. a cannon shoots a ball into the air at a football stadium. the path …
(A): The ball will reach its maximum height at \( x = 3 \) units of time (the unit of time is not specified in the problem, but typically for such projectile motion problems, it c…
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in 1964, the 24th amendment was passed to fight discrimination against …
B. requiring payment of a special tax before voting
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price math quiz question 5 of 10: let p be the price of an item. the un…
d) \(200P - 5P^{2}\)
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the united states government is a representative democracy. how do dict…
C. In dictatorships, citizens have little say in government affairs.
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a grasshopper jumps off of a tree stump. the height, in feet, of the gr…
\(\frac{3}{2}\)
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the manager of a company uses the function shown to model its daily pro…
A. 22 dollars B. 33 dollars C. 27.5 dollars
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graph the equation $y = -x^2 + 10x - 24$ on the accompanying set of axe…
To graph \( y=-x^{2}+10x - 24 \), plot the points: \( (0,-24) \), \( (1,-15) \), \( (4,0) \), \( (5,1) \), \( (6,0) \) and draw the parabola through them. (The key points are the …
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station #3: the meat inspection act, 1906 the meat inspection act of 19…
FALSE #### Second Question (Explain the purpose)
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which function is represented by this table? x | y 1 | 4 2 | 5 3 | 6 4 …
D. \(y = x + 3\)
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you work 47 hours at $16.30 an hour. what is your total pay if overtime…
The total pay is \(\$880.20\)
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c. \\(\\frac{3}{5} \\times 10\\)
6
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tion of a set and as repeated addition. b. $8 \\times \\frac{1}{2}$
4
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17. which of the following is the graph of the logarithmic function $f(…
b. The graph with asymptote x=-2 and point (-1,4)
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what is a key limitation of donating to a candidate compared to buying …
B. You can't get a refund if you're unhappy with their performance
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12. \\(\\ln e^{-6}\\)\ a) -6\ b) -2\ c) 6\ d) 1\ 13. \\(\\log_{2} 2^{4}…
12. a) -6 13. a) 4 14. c) -4 15. d) -6 16. a) [Graph a]
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what is the main difference between a regular pac and a super pac? this…
A. Super PACs can raise and spend unlimited money but cannot coordinate with campaigns
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enter the correct answer. find the quotient. \\(4 \\overline{)89.6}\\) …
22.4
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enter the correct answer. find the quotient. 5 \\overline{)87.5} includ…
17.5
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enter the correct answer. find the quotient. \\(3 \\overline{)79.5}\\) …
26.5
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a line has slope \\(\\frac{4}{3}\\). through which two points could thi…
C. \((28, 10), (22, 2)\)
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divide: 4,024 ÷ 6 = r submit
\( 670 \) R \( 4 \)
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write a function in any form that would match the graph shown below. an…
\(f(x)=-3(x + 5)^2(x - 4)^2\) (or the expanded form \(-3x^{4}-6x^{3}+117x^{2}+120x - 1200\))
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what was the significance of the supreme court case facebook, inc. v. d…
B. It ruled that auto - dialing without consent is illegal, but list - based dialing is allowed
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identify the roots and y-intercept of the function below. fill in the s…
-7, 0, 5
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write a function in any form that would match the graph shown below. yo…
\(f(x)=\frac{5}{36}(x + 6)^2(x - 8)\) (or the expanded form \(\frac{5}{36}x^{3}+\frac{5}{9}x^{2}-\frac{25}{3}x - 40\))
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write a function in any form that would match the graph shown below. (g…
\(f(x)=\frac{1}{3}(x - 1)^{2}(x - 6)^{2}\) (or the expanded form \(\frac{1}{3}x^{4}-\frac{14}{3}x^{3}+\frac{61}{3}x^{2}-28x + 12\))
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what is the slope of the line whose equation is $y - 4 = \\frac{5}{2}(x…
\(\frac{5}{2}\)
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anya graphed the line (y-2)=3(x-1) on the coordinate grid. what is the …
The slope of Anya's line is 3, so the correct option is the one with 3 (the last option: 3).
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find the sum of the finite series. \\(\\displaystyle\\sum_{n=0}^{16} 19…
\(19\)
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find the sum of the finite geometric series. \\(\\sum_{n=1}^{5} 4^n\\)
\(1364\)
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write a function in any form that would match the graph shown below. (g…
\(f(x)=\frac{3}{4}(x + 8)(x - 5)^2\) (or expanded form \(\frac{3}{4}x^{3}-\frac{3}{2}x^{2}-\frac{165}{4}x + 150\))
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find the sum of the finite geometric series. \\(\\sum_{n=1}^{6} 2 \\cdo…
\(10920\)
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find the sum of the finite geometric series.\\(\\sum_{n=1}^{6} 4 \\cdot…
\( 1456 \)
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1) solve and graph the following inequality: 4x + 2 > 18 2) solve and g…
\( x > 4 \) (Graph: Open circle at 4, shade right) ### Problem 2: Solve and graph \( \frac{x}{2} \leq 6 \)
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find the sum of the finite series. \\(\\sum_{n=0}^{17} 12\\)
216
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calculate in many ways here are some different diagrams that represent …
The value of \(315\times24\) is \(7560\)
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find the sum of the finite arithmetic series. \\(\\displaystyle\\sum_{n…
\(632\)
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for the graph of a function y = f(x) shown to the right, find the absol…
- Absolute Minimum: A. The absolute minimum of \(y = f(x)\) is \(f(3)=4\) - Local Maxima: B. The local maxima of \(y = f(x)\) are \(f(2)=6\) and \(f(5)=7\) - Local Minimum: A. The…
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for the graph of a function y = f(x) shown to the right, find the absol…
For absolute minimum: A. The absolute minimum of \( y = f(x) \) is \( f(3) = 4 \) For local maxima: B. The local maxima of \( y = f(x) \) are \( f(2) = 6 \) and \( f(5) = 7 \) For…
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for the graph of a function y = f(x) shown to the right, find the absol…
s: ### Absolute Maximum: ## Step1: Identify the highest point Among the points \((2,6)\), \((3,4)\), \((5,7)\), \((7,9)\), the point with the highest \(y\)-coordinate is \((7,9)\)…
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select the function that has a greater rate of change and x-intercept t…
\( j(x) = 3x + 2 \) (Option: \( j(x) = 3x + 2 \))
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the table below displays some of the values for an absolute value funct…
Domain: \(0<x < 4\) Range: \(y\leq - 2\)
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5. consider the graph of a function. which two ordered pairs could be a…
A. \((-5, 1)\)
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given f(x) = 7x and g(x) = 2x² + 6, find the following expressions. (a)…
(a) \(\boldsymbol{266}\) (b) \(\boldsymbol{398}\) (c) \(\boldsymbol{49}\) (d) \(\boldsymbol{78}\)
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the graph of a function f is given. use the horizontal-line test to det…
Yes
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select the equations that passes through the point (3, -1) and is paral…
\(y=\frac{5}{2}x-\frac{17}{2}\), \(y + 1=\frac{5}{2}(x - 3)\)
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question 1-4 the graph below shows the function $f(x) = x$. graph of f(…
\( g(x) = 2f(x) \) (the first option among the given options for \( g(x) \))
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a linear function is given. complete parts (a)-(d). g(x) = 5x + 2 (a) d…
s: (a) The slope is \(\boldsymbol{5}\). The \(y\) - intercept is \(\boldsymbol{2}\). (c) The average rate of change is \(\boldsymbol{5}\). (d) \(\boldsymbol{A}\). increasing
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1. the graph of a polynomial function f is shown. is the degree of the …
The degree of the polynomial is 6 (since it has end behavior of an even - degree polynomial (both ends up) and 5 turning points, so \( n-1 = 5\) implies \( n = 6\)).
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mi civics and government - s1 / module 4 / lesson 60 10. which of the f…
D. to limit the freedom of its citizens
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mastery mi civics and government - s1 / module 4 / lesson 60 8. why doe…
The option "so that one branch or level of government does not become all powerful" (the last option)
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if $f(x) = \\begin{cases} 5x - 2 & \\text{if } -5 \\leq x \\leq 3 \\\\ …
(a) \( f(0) = -2 \) (b) \( f(1) = 3 \) (c) \( f(3) = 13 \) (d) \( f(4) = 61 \)
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23. which of the following statements correctly describes the end behav…
The second option (the one stating "As the \( x \)-values approach negative infinity, the \( y \)-values approach positive infinity. As the \( x \)-values approach positive infini…
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19. which of the following statements about the function, $y = -\frac{1…
The second option (The degree of the polynomial is even, so the left side of the graph must have the same behavior as the right side of the graph.)
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a \\begin{array}{r} 47 \\\\ \\times 63 \\\\ \\hline \\end{array} b \\be…
s for multiplication examples: - \( 47\times63 = 2961 \) - \( 86\times25 \): - Step 1: \( 86\times5 = 430 \) - Step 2: \( 86\times20 = 1720 \) - Step 3: \( 430 + 1720 = 2150 \) - …
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livestock watering troughs are often custom - made from long metal shee…
3
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an architect wants to consider the pitch, or steepness, of a roof in or…
The correct equation is \( y = -\frac{2}{3}x + 10 \) (the last option, e.g., if options are labeled as A, B, C, D, then D. \( y = -\frac{2}{3}x + 10 \))
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linear equations and inequalities which linear inequality is represente…
\(y\leq\frac{1}{3}x - \frac{4}{3}\) (the second option in the list of given options)
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ar equations and inequalities which linear inequality is represented by…
\(y>\frac{2}{3}x + 3\) (the fourth option: \(y>\frac{2}{3}x + 3\))
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the solutions to the inequality $y > -3x + 2$ are shaded on the graph. …
(2, 0)
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graph the function below; y = \\sqrt3{x + 3} + 3 show your work here
The graph is the cube root function \( y = \sqrt[3]{x} \) shifted 3 units left and 3 units up, plotted using transformed key points like \((-3, 3)\), \((-2, 4)\), \((-4, 2)\), etc…
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the function $f(x) = \\sqrt{x}$ is graphed below in black. choose the g…
To graph \( g(x)=\sqrt{x + 3}-7 \), shift the graph of \( f(x)=\sqrt{x} \) left 3 units (so the vertex moves from \( (0,0) \) to \( (-3,0) \)) and then down 7 units (so the vertex…
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lessons 2.4 to 2.9 - review name: period: date: 1. describe the behavio…
As \( x \to \infty \), \( g(x) \to -\infty \); as \( x \to -\infty \), \( g(x) \to -\infty \). This is because the leading term is \( -3x^4 \) (even degree, negative leading coeff…
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graph the function below by dragging the points. g(x) = √x + 1 show you…
To graph \( g(x)=\sqrt{x}+1 \): 1. Start with the parent function \( y = \sqrt{x} \) (domain \( x\geq0 \), passes through \( (0,0) \), \( (1,1) \), \( (4,2) \), \( (9,3) \), etc.)…
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graph the function below by dragging the points. $g(x) = -3 + \\sqrt{x}…
To graph \( g(x)=-3+\sqrt{x} \), plot the points \((0, - 3)\), \((1, - 2)\), \((4, - 1)\), \((9,0)\) (and other points from the square - root parent function shifted down 3 units)…
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lukas graphed the system of equations shown. $2x + 3y = 2$ $y = \\frac{…
\((-2, 2)\) (corresponding to the option with \((-2, 2)\))
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(\frac{x + x^{2}}{1 + x})
\( x \) (for \( x eq -1 \))
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the expression is \\(\\frac{1 - \\frac{1}{1 - x}}{\\frac{1}{1 + x}}\\) …
\(\frac{x^{2}+x}{x - 1}\) (or \(\frac{-x^{2}-x}{1 - x}\))
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write a function g whose graph represents the indicated transformation …
\( g(x)=4x + 9 \) ### Problem 9
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simplify the expression \\(\\frac{1}{1 + \\left(\\frac{1 - x}{x}\ ight)…
\(x\)
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graph the function and its parent function. then describe the transform…
The parent function is \( y = x \). The transformation of \( f(x)=5x \) from its parent function \( y = x \) is a vertical stretch by a factor of \( 5 \). ### Problem 6: \( f(x) =…
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the graph shows f(x) and its transformation g(x). which equation correc…
\( g(x) = 3^{x + 2} - 7 \) (the third option: \( g(x) = 3^{x + 2} - 7 \))
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function transform $g(x) = -|x+2| - 4$ $g(x) = -|x| - 4$ $g(x) = |x+4| …
\(g(x)=-3|x - 4|+2\)
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let $f(x) = 3^x$. which function represents a transformation of $f(x)$ …
\( g(x) = 6 \cdot 3^x \) (the last option among the given choices)
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let $f(x) = 5^x$. let $g(x) = 5^x - 7$. which statement describes the g…
\( g(x) \) is translated 7 units down from \( f(x) \) (the third option: \( g(x) \) is translated 7 units down from \( f(x) \))
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what is the equation of the function shown in the graph, given the equa…
\( g(x) = 3.5^x - 2 \) (the second option: \( g(x) = 3.5^x - 2 \))
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4.3.7 quiz: analyze the resolution of the metamorphosis question 10 of …
D. contains ridiculous elements like Gregor scurrying around the room.
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evaluate the expression. 6·1 + 3 + 7
16
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(u5) suppose brett throws a baseball into the air, which follows a para…
- Points: \((0, 6)\), \((1, 69)\), \((2, 100)\), \((4, 66)\), \((5, 1)\) - Quadratic equation: \( h(t)=-16t^{2}+79t + 6 \) - Last intersection: \( t = 4 \) (and the corresponding …
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evaluate the expression. 5 + (5 · 4)
\(25\)
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evaluate the expression. 5 + 3·3
14
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finding slope using 2 points and formula multiple-choice question what …
Zero
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divide. \\frac{1}{5} \\div 2 = \\square submit
$\frac{1}{10}$
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autoevaluación unlimited attempts left due december 10th 11:59 pm 1 pro…
1. For "Julia y yo": "nosotras" (or "nosotros" depending on context, but "nosotras" is more likely if Julia is female) 2. For "Daniel y Luis": "ellos" 3. For "Mónica": "ella" 4. F…
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solving equations with fractional exponents score: 0/2 penalty: none qu…
\(x = 7^{16}\) or \(x=33232930569601\) (if we calculate \(7^{16}\): \(7^2 = 49\), \(7^4=49^2 = 2401\), \(7^8 = 2401^2=5764801\), \(7^{16}=5764801^2 = 33232930569601\))
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$\\frac{3}{8} \\times 6$
$\frac{9}{4}$ (or $2\frac{1}{4}$)
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7\\frac{3}{5} - 4\\frac{3}{10}
\(3\frac{3}{10}\)
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use the graph of the function $y = 4^x$ to answer the follow questions.…
- Dominio: de \( -\infty \) a \( \infty \) (todos los números reales). - Rango: de \( 0 \) a \( \infty \) (números reales positivos). (En el contexto de la pregunta, para los menú…
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use the graph of the function $y = 4^x$ to answer the follow questions.…
- Dominio: de \( -\infty \) a \( +\infty \) (porque el exponente \( x \) puede ser cualquier número real). - Rango: de \( 0 \) a \( +\infty \) (porque \( 4^x \) es siempre positiv…
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1. a toy car slides down a ramp and coasts to a stop after 5 sec. its v…
The distance the toy car travels is \( \frac{125}{12}\approx10.42 \) feet (or exactly \( \frac{125}{12} \) feet).