Calculus
Limits, derivatives, optimization, and behavior of functions.
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3.1 homework - area and definite integrals and areas 3.1 homework - are…
$\boxed{4}$
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how effective were labor unions in accomplishing the goals of organizat…
B. Despite early setbacks, they were very effective because union workers gained respect, rights, and the support of powerful individuals
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question #10 functions a, b, c, and d are linear. - function a: | x | -…
C. Function A has a greater rate of change than Function C.
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given the function, $f(x) = x^3 - 4x^2 + x - 4$, what are the coordinat…
The real - valued root coordinate is \( (4,0) \), and the complex - valued root coordinates are \( (i,0) \) and \( (-i,0) \). But if we consider only real - valued roots (for a re…
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read the excerpt from abraham lincolns gettysburg address but, in a lar…
encourage soldiers to continue the fight for national unity.
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given the function, $f(x) = x^3 - 3x - 2$, select all of the roots. the…
(-1, 0), (2, 0)
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given the function, $f(x) = x^3 - 3x - 2$, what are the coordinates of …
\((1, -4)\)
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given the function, $f(x) = 3x^3 - 18x^2 + 33x - 18$, match the feature…
- LEFT x - intercept: \((1,0)\) - CENTER x - intercept: \((2,0)\) - RIGHT x - intercept: \((3,0)\) - y - intercept: \((0,-18)\) - Relative minimum: \((2.6,-1.2)\) - Relative maxim…
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jerome will be buying a used car for $11,000 in 4 years. how much money…
$\boxed{7674.23}$
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exit ticket 1/14 (u4 l3) find the given output values of the equation: …
$f(-3)=0$ $f(0)=-3$ $f(5)=2$
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semester 1: unit 4 exam review evaluate the given function: function g …
11
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3. use function notation to represent the following statement. the dist…
B. \(D(20) = D(35)\)
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1. function ( h ) gives the height of a plant, in centimeters, when it …
C. The plant is 45 centimeters tall when it is 12 days old.
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interpreting a linear function continued 1 amber plans to cook a turkey…
\( x \) represents the weight of the turkey (in pounds), \( y \) represents the total cooking time (in minutes), and \( y \) is a function of \( x \) (i.e., \( y = 15x + 40 \) mea…
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consider the functions $f(x) = 3x^2$ and $g(x) = -x^3 + 5$, and the fun…
B. $h$ is an even function. E. $g$ is neither an even nor odd function. H. $k$ is an odd function.
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find the product. \\begin{array}{r} 12643\\\\ \\times\\ \\ \\ \\ 13\\\\…
B. 164,359
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question 15 how ot create personal boundaries: (check all that apply) □…
- state your limits - be direct - be assertive
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reflect the function $f(x)=x^4$ about the $x$-axis and translate it 3 u…
D. $g(x) = -(x+3)^4$
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which could represent a polynomial function with 3 real distinct zeros …
C. <The graph labeled C that crosses the x-axis at 3 points and touches the x-axis at 1 point>
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what is the end behavior of the function $f(x) = 8x^5 - 3x^3 + 8x + 5$?…
B. As \( x \) approaches infinity, \( f(x) \) approaches infinity, and as \( x \) approaches negative infinity, \( f(x) \) approaches negative infinity
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base your answers to questions 21 and 22 on the passages below and on y…
a. bicameral legislature ### Question 22
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name: david date: hour: functions - 8.f.5 hw9 answer the following ques…
It means the object has an initial speed of 0 (is at rest initially). ### Question 2
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consider the graph of the function $f(x) = -x^3 + 24x^2 - 179x + 495$ d…
D. -50
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the function f and g are defined by $f(x)=x^2$ and $g(x)=2x$, respectiv…
B. \( h(x)=-8x^3 \)
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the graph of the fourth - degree polynomial function f(x) is shown in t…
B. \((x + 2)\), C. \((x - 3)\), E. \((x - 2)\)
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y = x² - 2x - 5; y = x³ - 2x² - 5x - 9; when the two equations shown ar…
\( 3 \)
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7 aiden bought two and three fourths yards of fabric. he used one and t…
$1\frac{7}{20}$ yards
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12 21×2.05 15 11×3.68 18 32×5.12
s: \(21\times2.05=\boldsymbol{43.05}\) \(11\times3.68=\boldsymbol{40.48}\) \(32\times5.12=\boldsymbol{163.84}\)
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0.9 \\overline{)1350}
\(1.5\)
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containment note in the spaces below some advantages and disadvantages …
## Advantages: 1. Limits spread of harmful agents (e.g., pathogens, pollutants) 2. Targets affected areas, sparing unaffected regions 3. Reduces overall long-term response costs 4…
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read the excerpt from act 3 of a doll’s house. helmer: listen to her, m…
B. "I took my charming little Capri maiden . . . on my arm."
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work: functions: graphing using table of values complete the table of o…
For the table with \( y=-x - 1 \), when \( y = 0 \), \( x=-1 \); when \( x = 0 \), \( y=-1 \) (which is already given). So the missing x - value when \( y = 0 \) is \(-1\), and if…
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complete the table of ordered pairs for the given linear equation. $y =…
-1
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add. hint: use the place value blocks to help solve $19 + 72$. $19 + 72…
91
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complete to solve 48 + 13. 48 + 13 = 48 + (□ + 11) = (48+□) + 11 = □ + …
The first box: \(2\), the second box: \(2\), the third box: \(50\), the fourth box: \(61\) (And the final result of \(48 + 13\) is \(61\))
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complete to solve $8 + 84$. $8 + 84$ $=(2 + \\square) + 84$ $=2 + (\\sq…
First box: \( 6 \) Second box: \( 6 \) Third box: \( 90 \) Fourth box: \( 92 \) Final result of \( 8 + 84 \): \( 92 \)
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complete to solve $4 + 56$. $4 + 56$ $= 4 + (\\square + 50)$ $= (4 + \\…
First box: 6, Second box: 6, Third box: 10, Fourth box: 60 (And the final result of \( 4 + 56 \) is 60)
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27. read the following text, and answer the question that follows. the …
Representative government
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select the correct answer. which function is the inverse of $f(x) = x^2…
A. \( f^{-1}(x)=\sqrt{x + 16}\)
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which statement explains a long - term impact of the silk road on globa…
C. It created the first global trade network
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which statement best describes the silk road at its beginning? a mariti…
C. A network of overland trade routes
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2 select the correct answer from each drop-down menu. the function $f(x…
As \( x \) approaches positive infinity, \( m(x) \) approaches positive infinity. As \( x \) approaches negative infinity, \( m(x) \) approaches negative infinity.
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28) $f(x)=x^2 - 2x - 4$; find $f(3)$ (a) determine if the relation is a…
-1
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20. the function ( f ) is graphed on the semi - log plot above where th…
C. \(f(x) = 2e^{x}\)
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which statement explains a long - term impact of the silk road on globa…
A. It created the first global trade network
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((10 - 6 + 5) ÷ 9) × 2
\(2\)
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find the slope of the line that goes through the points (6,12) and (8,1…
$\frac{1}{2}$
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question find ( h(-2) ). ( g(x) = x + 4 ) | ( x ) | ( f(x) ) | | --- | …
\( 2 \)
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find f(3). $f(x)$ graph, $g(x) = 2x^2 - 5x - 4$, table for $h(x)$ with …
\( f(3)=2 \)
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the function $y = f(x)$ is graphed below. what is the average rate of c…
$\frac{120}{11}$
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question 5 given the function $f(x) = 8x^2 + 3x - 7$. calculate the fol…
$f(0)=-7$ $f(2)=31$ $f(-2)=19$
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evaluate each expression. 47) $-3 \\times -3$ 48) $-8 \\cdot 6$ 49) $-7…
9 ### 48) $-8 \cdot 6$
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given the function $f(x) = 8x^2 + 3x - 7$. calculate the following valu…
$f(x+1)=8x^2+19x+4$ $f(-x)=8x^2-3x-7$
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the number of cubic meters of mulch, ( m ), needed to cover a garden wi…
\(G(630) = 44.1\)
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write the log equation as an exponential equation. you do not need to s…
\(10^{x - 3}=x\)
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evaluate logarithms (level 3) unique id: 0062 score: 1/4 penalty: 0.25 …
\(\frac{1}{7}\)
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evaluate logarithms (level 2) unique id: 0060 score: 2.75/4 penalty: 0.…
-1
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evaluate logarithms (level 2) unique id: 0058 score: 0.75/4 penalty: 0.…
\(\frac{1}{5}\)
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name date pd 1. solve the following: a. \\( \\begin{array}{r} 548 \\\\ …
1. a. 3822 b. 912 2. a. 124 3. 6 cups
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y - 4 = -3(x - 3)
\(y=-3x + 13\)
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complete the square to rewrite $y = x^2 - 6x + 5$ in vertex form. then …
B. Minimum at (3, -4)
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graph: $y < \\frac{1}{3}x + \\frac{1}{2}$ click or tap the graph to plo…
To graph \( y < \frac{1}{3}x + \frac{1}{2} \): 1. Draw a **dashed** line for \( y = \frac{1}{3}x + \frac{1}{2} \) (using points like \( (0, \frac{1}{2}) \) and \( (3, \frac{3}{2})…
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practice interpreting two - variable linear inequalities. the inequalit…
B. \((-2, -2)\), D. \((0, 1)\), E. \((2, 5)\) (Note: The original options’ numbering might vary; here, the correct points are \((-2, -2)\), \((0, 1)\), and \((2, 5)\) based on sub…
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practice interpreting two - variable linear inequalities. y < 2x + 3 wh…
B. (-2, -2), D. (0, 1), E. (2, 5) (Note: Assuming the options are labeled as A: (-3,3), B: (-2,-2), C: (-1,1), D: (0,1), E: (2,5))
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graph the solution set for the inequality y > 2x - 5 by following these…
To graph $y>2x - 5$: 1. Plot the $y$-intercept $(0,-5)$. 2. Use the slope $2=\frac{2}{1}$ to find another point: from $(0,-5)$, move up 2 units and right 1 unit to get $(1,-3)$. 3…
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transform rectangular equation to polar equations $y = 3x + 2$ $y^2 = 3…
To transform the given rectangular equations to polar equations, we use the relationships between rectangular coordinates \((x, y)\) and polar coordinates \((r, \theta)\): \(x = r…
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5. find the equation of each line described below. a) perpendicular to …
$y = -5x + 50$
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6 you have 350 yards of fencing to enclose a rectangular region. find t…
The dimensions of the rectangle are 87.5 yards by 87.5 yards, and the maximum area is 7656.25 square yards.
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for each problem, find the: x and y intercepts, x-coordinates of the cr…
x-intercepts: $x=0$, $x=3$ y-intercept: $y=0$ Critical points x-coordinates: $x=0$, $x=2$ Increasing on $(-\infty,0) \cup (2,+\infty)$, decreasing on $(0,2)$ Inflection point x-co…
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4. solve each inequality. then graph the solution. a. $x + 5 > 3$ -4 -2…
\( x > -2 \) (Graph: Open circle at -2, arrow to the right) ### Problem 4b: Solve \( 3 \geq x + 5 \)
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post test: writing for business identify the type of writing for each e…
business writing → Please find enclosed details about how our services have helped consumers cut costs. fiction writing → The tension in the room suddenly grew and hung like a dar…
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graph this line using the slope and y-intercept: y = -x - 4 click to se…
To graph \(y=-x - 4\): 1. Plot the y - intercept \((0,-4)\). 2. Use the slope \(m = - 1\) to find another point (e.g., from \((0,-4)\), move down 1 and right 1 to get \((1,-5)\) o…
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graph this line using the slope and y-intercept: y = -3x - 2 click to s…
To graph \(y = - 3x-2\): 1. Plot the y - intercept at \((0,-2)\) (since when \(x = 0\), \(y=-2\)). 2. Use the slope \(m=-3=\frac{-3}{1}\). From \((0,-2)\), move 1 unit to the righ…
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incorrect your answer is incorrect. - (w ∘ u)(3): your answer is incorr…
$(w \circ u)(3) = 64$ $(u \circ w)(3) = -20$
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17) $\frac{-3}{2} + \frac{1}{4}$ 19) $\frac{-3}{2} div -2$
$\frac{-5}{4}$ ### Problem 19: $\boldsymbol{\frac{-3}{2} \div -2}$
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graph this line using the slope and y-intercept: y = -4x + 9 click to s…
To graph \(y=-4x + 9\): 1. Plot the \(y\) - intercept at \((0,9)\) (on the \(y\) - axis, 9 units up from the origin). 2. Use the slope \(m=-4=\frac{-4}{1}\): From \((0,9)\), move …
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y = -9x + 1 click to select points on the graph.
To graph \(y = - 9x+1\), plot the y - intercept \((0,1)\) (from \(x = 0,y=1\)) and another point like \((1,-8)\) (from \(x = 1,y=-9(1)+1=-8\)) and draw a line through these points.
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class e general knowledge question #39 / 50 you are driving your car an…
C. 30 miles per hour.
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graph this line using the slope and y-intercept: $y = \\frac{1}{8}x + 4…
To graph the line \(y=\frac{1}{8}x + 4\): 1. Plot the y - intercept at \((0,4)\) (since when \(x = 0\), \(y=4\)). 2. Use the slope \(\frac{1}{8}\) (rise = 1, run = 8) to find anot…
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graph this line using the slope and y-intercept: y = -6x + 5 click to s…
To graph \(y=-6x + 5\): 1. Plot the y - intercept \((0,5)\) (since when \(x = 0\), \(y=5\)). 2. Use the slope \(m=-6=\frac{-6}{1}\): from \((0,5)\), move down 6 units and right 1 …
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find the product. \\frac{3}{4} \\times 12 = ?
9
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class e general knowledge question #15 / 50 when you approach an inters…
B. Approach at a speed that will allow you to stop if the light changes.
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write a function in any form that would match the graph shown below. an…
$f(x)=-3(x+2)(x-5)$ or $f(x)=-3x^2+9x+30$
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question 8 of 15 graph the line. $y = -2x$
The line $y=-2x$ passes through the origin $(0,0)$, $(1,-2)$, $(-1,2)$, and extends infinitely in both directions with a slope of -2.
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graph this line using the slope and y-intercept: $y = \\frac{1}{2}x - 7…
To graph \(y=\frac{1}{2}x - 7\): 1. Plot the y - intercept at \((0,-7)\) (since when \(x = 0\), \(y=-7\)). 2. Use the slope \(m=\frac{1}{2}\) (rise = 1, run = 2). From \((0,-7)\),…
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find the product. \\(\frac{3}{4} \\times 5 = \\) ?
$\frac{15}{4}$ or $3\frac{3}{4}$
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which of the following was an effect of the land ordinance of 1785? it …
B. It brought money to the nation through the sale of public lands.
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graph this inequality: $y < -\frac{2}{3}x + 4$ plot points on the bound…
1. Plot the dotted boundary line using points $(0, 4)$ and $(6, 0)$. 2. Shade the region **below** this dotted line.
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previous mistake show this another way 5 : 4 example: 2 check 1 2 3 4 5…
10 (or \(10:8\) or \(1.25\), depending on interpretation. Since the example has "2" as input, likely scaling the first term of the ratio \(5:4\) by 2 gives \(10\))
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8. 200 ÷ 63 + 7 − 5(17 − 7) 9. 37.5 − 2(3.2) 10. 6(4.6 + 3.2) + 8.9 + 2…
8. $10$ 9. $3.3$ 10. $55.1$
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evaluate each expression using the graphs of y = f(x) and y = g(x) show…
2
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au cours des 24 derniers mois, la valeur dune action (en $) dune compag…
3, 14, 21
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from unit 6, lesson 1 a number of identical cups are stacked up. the nu…
Yes. For each number of cups (input), there is exactly one height (output) because identical cups stacked will have a unique height for a given number of cups. ### Part 4 (b)
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6 - 9\\frac{1}{4}
\( -3\frac{1}{4} \) (or \( -\frac{13}{4} \))
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a motorboat takes 4 hours to travel 192 kilometers going upstream. the …
Rate of the boat in still water: \( \boldsymbol{56} \frac{\text{km}}{\text{h}} \) Rate of the current: \( \boldsymbol{8} \frac{\text{km}}{\text{h}} \)
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aubrey made a fruit salad with \\(\\frac{5}{6}\\) of a pound of melon a…
$6\frac{1}{3}$ pounds
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a school made $16\\frac{1}{3}$ gallons of fruit punch for parents night…
\( 4\frac{5}{12} \)
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at the farmers market, marco bought $4\\frac{1}{4}$ pounds of string be…
$3\frac{1}{2}$ (o $\frac{7}{2}$)
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graph the equation shown below by transforming the given graph of the p…
To graph \( y=\frac{1}{2}\cdot2^x \), vertically compress the graph of \( y = 2^x \) by a factor of \( \frac{1}{2} \) (multiply \( y \)-coordinates of points on \( y = 2^x \) by \…
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graph the trigonometric function. $y=\\frac{3}{2}\\sin\\left(\\frac{1}{…
Key points within one cycle: (0, 0), (π, 3/2), (2π, 0), (3π, -3/2), (4π, 0)