微積分
極限、導數、最優化與函數性質。
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17. which function below has this graph? a. $y = \\sec x$ b. $y = \\csc…
A. \( y=\sec x \)
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8th grade math 1st semester exam study guide december 2 unit 1 - real n…
\( \pm13 \)
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write the equation of the line in fully simplified slope-intercept form.
\( y = -2x + 8 \)
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one way to revise a budget to meet long-term goals is to discretionary …
B. limit
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write the equation of the line in fully simplified slope-intercept form.
\( y = -x + 4 \)
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3 ( y = -\frac{1}{3}x + 3 ) 4 ( y = -120x + 600 )
For \( y = -\frac{1}{3}x + 3 \), plot \( (0,3) \) and \( (9,0) \) (or other points using the slope) and draw a line. For \( y=-120x + 600 \), plot \( (0,600) \) and \( (5,0) \) an…
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math - 8th grade consider the description of a function. - when ( x ) i…
(Assuming the correct graph is, for example, the first graph among the given options. If the options are labeled as A, B, C, and A has the correct segments, then) A. The graph wit…
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question given the function below, fill in the table of values and use …
For \( x = -3 \), \( y = 12 \); for \( x = -2 \), \( y = 8 \); for \( x = -1 \), \( y = 4 \); for \( x = 0 \), \( y = 0 \); for \( x = 1 \), \( y = -4 \); for \( x = 2 \), \( y = …
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graphing a linear equation of the form $y = mx + b$ graph each linear e…
For \( y=-2x + 1 \): Plot \( (0,1) \), use slope \( - 2 \) to find other points (e.g., \( (1,-1) \)), draw a line. For \( y = 40x-20 \): Plot \( (0,-20) \), use slope \( 40 \) to …
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the function f(x) = 2x³ + 3x² - 11x + 6 has at least one rational root.…
\(1\)
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11 compare finding the slope using a table and using a graph.
- **Using a Table**: - Select two rows (ordered pairs \((x_1,y_1)\) and \((x_2,y_2)\)) from the table. - Calculate the slope using \(m=\frac{y_2 - y_1}{x_2 - x_1}\). - **Using a G…
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topics 1.4 & 1.5: spatial concepts & human - env. interactions using th…
1. Built - environment 2. Sense of place 3. Renewable 4. Environmental determinism 5. Distance decay 6. Location 7. Non - renewable 8. Possibilism 9. Site 10. Spatial interaction …
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given the function below, fill in the table of values and use the table…
For \( x = -3 \), the value of \( y \) is \(-5\). The completed table (for all \( x \) values) will have \( y = -5 \) in each row.
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the function $f(x) = x^4 + 3x^3 + 9x^2 + 21x + 14$ has at least two rat…
The rational roots are $x = -1$ and $x = -2$. The complex roots (including rational) are $x = -1$, $x = -2$, $x = i\sqrt{7}$, and $x = -i\sqrt{7}$.
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given the function below, fill in the table of values and use the table…
For \( x = -3 \), \( y = 1 \). The completed table (for reference) has values: | \( x \) | \( y = x + 4 \) | |--------|----------------| | -3 | 1 | | -2 | 2 | | -1 | 3 | | 0 | 4 |…
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given the function below, fill in the table of values and use the table…
For \( x = -3 \), the value of \( y \) in the table (under \( y = 1 \)) is \( 1 \). And filling the entire table: | \( x \) | \( y = 1 \) | | ---- | ---- | | \( -3 \) | \( 1 \) | …
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what is the domain of the function $y = \\sqrt{x}$? options: $-\\infty …
\( 0\leq x<\infty \) (the option with the inequality \( 0\leq x<\infty \))
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write an equation of the line that passes through (1,2) and is parallel…
\( y=-5x + 7 \)
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a recursive formula is $a_1 = 11$, $a_n = a_{n - 1} - 2$. (simplify you…
\( 13 - 2n \)
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find the equation of all horizontal asymptotes of the following functio…
The equation of the horizontal asymptote is \( y = -2 \)
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what is the range of the function $y = \\sqrt3{x + 8}$? options: $2 \\l…
\( -\infty < y < \infty \) (the option with \( -\infty < y < \infty \))
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when mu 34.6 6.77 when divi 7.39 105. 1. 4.81 × 100 =
481
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what is the domain of the function $y = \\sqrt3{x}$? options: $-\\infty…
\( -\infty < x < \infty \) (the option with \( -\infty < x < \infty \))
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what is the range of the function $y = \\sqrt{x + 5}$? options: $y \\ge…
\( y\geq0 \) (the option with \( y\geq0 \))
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finding the slope of a line use the information provided to find the sl…
1. Slope = 6 (represents speed: 6 feet per second) 2. Slope = 9 (represents rate of pay: 9 dollars per hour) 3. Slope = 2 (represents speed: 2 miles per hour) 4. Slope = 0.5 (repr…
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what is the domain of the function $y = 2\\sqrt{x - 6}$? options: $-\\i…
$6\leq x<\infty$ (the option with the inequality $6\leq x<\infty$)
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question 4 score on last try: 2 of 3 pts. see details for more. at leas…
For $\ln(a^g)$, using the power property of logarithms $\log_b(m^n)=n\log_b(m)$ (with $b = e$ for natural log), we rewrite $\ln(a^g)$ as $g\ln(a)$. So the correct answer is $g\ln(…
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the graph shows the translation, g(x), of the function f(x). what integ…
\(-2\)
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complex numbers and square roots the graph of the function ( f(x) = \fr…
all real numbers greater than or equal to 0 (matching the option "all real numbers greater than or equal to 0")
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rational exponents practice complete this assessment to review what you…
\(1000\)
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multiple-choice question what does 289 - 225 = 8 64 rewatch submit
64 (the option with "64")
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write a recursive formula and an explicit formula for the arithmetic se…
\( a_1 = 10 \), \( a_n = a_{n - 1} - 2 \) (for \( n \geq 2 \))
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move at least one of the 3 guide points below to complete the graph of …
To complete the graph of \( y = \frac{1}{4}\sqrt{x - 3} \): 1. Move the blue (vertex) point from \( (0, 0) \) to \( (3, 0) \) (horizontal shift right by 3). 2. Move red guide poin…
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part a which of the following could be used to help find the product of…
1728
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part a which of the following could be used to help find the product of…
The options that apply are \(48\), \(240\), \(1200\). So the checkboxes for \(48\), \(240\), and \(1200\) should be selected.
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part a which basic multiplication fact can you use to find the product …
A. \( 4 \times 3 = 12 \) ### Part B
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question express in simplest radical form. \\sqrt{49} answer attempt 1 …
\( 7 \)
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question express in simplest radical form. \\sqrt{63} answer attempt 2 …
\( 3\sqrt{7} \)
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name whats the product? complete the equation. 1. $5 \\times 6,000 = 5 …
s: 1. First blank: \( 1,000 \); Second blank: \( 30 \); Third blank: \( 1,000 \); Final result: \( 30,000 \) 2. First blank: \( 8 \); Second blank: \( 24 \); Third blank: \( 100 \…
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determine the amplitude, period, and phase shift of the function. then …
\(\frac{\pi}{2}\)
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hw 9.2: log properties ii score: 15.17/28 answered: 6/10 question 6 exp…
For $\ln(13w^8a^2)$: $\ln 13 + 8\ln w + 2\ln a$ For $\log_4(ay^2)^7$: $7\log_4 a + 14\log_4 y$ (or $7(\log_4 a + 2\log_4 y)$)
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34 + \\frac{4}{9}w, w = -\\frac{1}{2}
\( 33\frac{7}{9} \) (or \( \frac{304}{9} \))
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score: 13.67/28 answered: 6/10 question 6 expand each of the following …
For $\ln(8y^2a^3)$: $\boldsymbol{\ln 8 + 2\ln y+3\ln a}$ (or $\boldsymbol{3\ln 2 + 2\ln y+3\ln a}$) For $\log_4(vw^2)^6$: $\boldsymbol{6\log_4 v + 12\log_4 w}$ (or intermediate st…
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use synthetic division to find ( (4x^5 - 16x^4 + 28x^2 + 14x + 17) div …
\(4x^4 - 8x^3 - 16x^2 - 4x + 6+\frac{29}{x - 2}\)
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question plot all intercepts and asymptotes of the following rational f…
Vertical Asymptote: \(x=-6\) Horizontal Asymptote: \(y = - 4\) x - intercept: \(x=-\frac{13}{2}\) (or \(x=-6.5\)) y - intercept: \(y =-\frac{13}{3}\) (or \(y\approx - 4.33\))
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9. what term is used to describe the final goods and services a nation …
C. Gross Domestic Product ### Question 10
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0 = 0.525x² + 2.1x + 1.9
Les racines de l'équation \( 0 = 0.525x^2 + 2.1x + 1.9 \) sont approximativement \( x \approx -1.38 \) et \( x \approx -2.62 \) (arrondies à deux décimales).
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0.0,525x²+2,1x+1,9
Si le problème est de résoudre \(0.0525x^2 + 2.1x + 1.9 = 0\), les solutions approximatives sont \(x \approx -0.927\) et \(x \approx -39.073\). Si c'est une analyse de la fonction…
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Question was provided via image upload.
\(0.047516\)
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6 y = 40x + 20
The graph does not match the equation \( y = 40x + 20 \). The equation of the graph is \( y=40x + 40 \) (if we derive from the graph's points (0,40) and (1,80)).
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question 2 the product property of logarithms works as follows: \\(\\lo…
$\ln(gk)=\boldsymbol{\ln(g) + \ln(k)}$ $\log_{30}(7wm)=\boldsymbol{\log_{30}(7) + \log_{30}(w) + \log_{30}(m)}$ $\log(\text{elbow} \cdot \text{banana})=\boldsymbol{\log(\text{elbo…
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2. how would older, less efficient automotive factories impact germany’…
They would slow production and limit the growth of the national gross domestic product.
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multiply: 27.8 × 1.1 save answer
\(30.58\)
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cation all intercepts and asymptotes of the following rational function…
- Vertical Asymptote: \(x=-6\) - Horizontal Asymptote: \(y = 2\) - x - intercept: \(x=-\frac{15}{2}\) (or \(x=-7.5\)) - y - intercept: \(y=\frac{5}{2}\) (or \(y = 2.5\))
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evaluate the expression. (2.9 + 6.4 - 9)² write your answer as an integ…
0.09
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evaluate the expression. (0.5 + 0.38 ÷ 0.95)² write your answer as an i…
\(0.81\)
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describe how the graph of the parent function $y = \\sqrt{x}$ is transf…
1. The graph is translated 6 units to the right. 2. The graph is reflected over the x - axis. 3. The graph has a vertical stretch by a factor of 3. 4. The function \( y=-3\sqrt{x …
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how does the graph of $g(x) = \\frac{1}{x + 4} - 6$ compare to the grap…
\( g(x) \) is shifted 4 units left and 6 units down from \( f(x) \) (the option with this description, e.g., the third option in the original layout if we consider the order: firs…
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what could you divide and then multiply by to go from the first number …
To get to 1, divide 110 by $\boldsymbol{110}$. From 1, multiply by $\boldsymbol{44}$ to get to 44. OR, in a single step, multiply 110 by $\boldsymbol{\frac{2}{5}}$ (or $\boldsymbo…
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select the correct answer. which statement describes the end behavior o…
B. As x approaches negative infinity, f(x) approaches positive infinity.
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from the graph of the function, state the domain, the range, and the in…
B. The function is never increasing.
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what is the domain of the function $y = 2\\sqrt{x - 6}$? $\\boldsymbol{…
$6 \leq x < \infty$ (the option with this text, e.g., if it's the third option, state: "The third option: $6 \leq x < \infty$")
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what is the domain of the function $y = \\sqrt3{x - 1}$?\ $ -1 < x < \\…
\( -\infty < x < \infty \) (the option with \( -\infty < x < \infty \))
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what are the vertical and horizontal asymptotes of $f(x) = \\frac{2x}{x…
horizontal asymptote at \( y = 2 \), vertical asymptote at \( x = 1 \) (the middle option with this description)
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which statement describes the behavior of the function $f(x) = \\frac{3…
The graph approaches \(-3\) as \(x\) approaches infinity.
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which graph matches the equation ( y + 3 = 2(x + 3) )?
The graph with the y - intercept at \( (0, 3) \) and passing through \( (-3,-3) \) (the upper - left graph among the two shown)
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question simplify the expression below using order of operations. $(3 \…
\(1\)
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an object is traveling at a steady speed of $10\\frac{1}{10}$ km/h. how…
\( \frac{1140}{101} \) (or \( 11\frac{29}{101} \))
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convert the following number to a decimal without using a calculator. h…
1.\(\overline{3}\) (corresponding to the first option: 1.\(\overline{3}\))
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use the following function $f(x) = \\frac{x}{3} - -8$ $f(12) = \\square$
12
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evaluate the expression. 2.6 ÷ (2.5 − 1.5)³ write your answer as an int…
2.6
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what is the slope of the linear function described in this table? slope…
\(m = -\frac{2}{3}\) (corresponding to the option \(m = -2/3\))
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what is the horizontal asymptote of the function $f(x) = \\frac{(x - 2)…
\( y = 0 \)
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question given $f(x) = -x + 1$, find $f(-1)$. answer
2
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which function has no horizontal asymptote? $f(x) = \\frac{2x^2}{3x - 1…
\( f(x)=\frac{2x^2}{3x - 1} \)
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which statement describes the behavior of the function $f(x) = \\frac{2…
The graph approaches \(0\) as \(x\) approaches infinity.
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what are the vertical and horizontal asymptotes of $f(x) = \\frac{2x}{x…
The option with "horizontal asymptote at \( y = 2 \), vertical asymptote at \( x = 1 \)" (the middle option among the first three, or the second boxed option as per the initial di…
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on the set of axes below, solve the following system of equations graph…
The solution set is \( \{(-2, 0), (-6, 8)\} \)
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use the two points to find the slope of this line. m = -?/ remember: sl…
The numerator (the "?") is \(2\) and denominator is \(1\) (or if we take the other points, but most likely from the graph, the two points are \((0, -2)\) and \((1, -4)\), so rise …
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on the set of axes below, solve the following system of equations graph…
The solution set is the points of intersection. Solving algebraically (correcting axis confusion or not), the solutions are \(\boldsymbol{(-3, 1)}\) and \(\boldsymbol{(1, 9)}\) (i…
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in the case of schenck v. united states the supreme court ruled that th…
C. speech aimed to potentially create danger could be banned. (Note: Assuming the options are labeled A - D in order, with A being "the Espionage Act was unconstitutional", B bein…
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20) $g(x)=\frac{-x - 5}{3}$
To graph \( g(x)=\frac{-x - 5}{3} \) (or \( y =-\frac{1}{3}x-\frac{5}{3} \)): 1. Identify the slope \( m =-\frac{1}{3} \) and y - intercept \( b=-\frac{5}{3} \). 2. Plot the y - i…
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solve the logarithmic equation. be sure to reject any value of x that i…
\(\frac{4}{3}\)
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simplify. rationalize the denominator.\\(\\frac{9}{-5 + \\sqrt{3}}\\)
$\boldsymbol{-\frac{45 + 9\sqrt{3}}{22}}$ (or equivalent forms like $\frac{-45 - 9\sqrt{3}}{22}$)
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unit test unit test complete 21 22 23 24 16 time rem 01:32 the graph of…
D. (10, ∞)
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f(x) = \\frac{1}{x} the graph of the function has a vertical asymptote …
The graph of the function has a vertical asymptote of \( x=\boldsymbol{0} \) The graph of the function has a horizontal asymptote of \( y=\boldsymbol{0} \)
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question simplify the expression below using order of operations. 7 + 3…
\(8\)
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the table of ordered pairs (x, y) gives an exponential function. write …
\( y=\frac{1}{4}\cdot2^x \) (or \( y = 2^{x - 2} \))
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simplify to lowest terms. \\(\\frac{18}{30} = \\frac{3}{?}\\)
5
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which of the following describes the graph of $y = \\sqrt3{27x - 54} + …
- Horizontal translation: 2 units to the right - Vertical translation: 5 units up - Stretch/compression: Vertical stretch by a factor of 3 (or horizontal compression by a factor o…
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a quadratic function f(x) is hidden from view. you must find the y-inte…
There is one y - intercept, and the y - intercept is \( (0, - 48) \)
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evaluate the expression. 0.01 + (3.7 - 2.8)² write your answer as an in…
\(0.82\)
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question graph this system of equations. 1.15x + 0.65y = 8.90 x - 3y = …
For \(1.15x + 0.65y = 8.90\), find two points: when \(x = 0\), \(y=\frac{8.90}{0.65}\approx13.69\); when \(y = 0\), \(x=\frac{8.90}{1.15}\approx7.74\). For \(x - 3y=-15\), rewrite…
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evaluate the expression $(3 + 2)^2 + 4 \\cdot 5$. now, add. $(3 + 2)^2 …
\(45\)
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evaluate the expression. (0.67 + 0.33)³ - 0.63 write your answer as an …
\(0.37\)
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evaluate the expression (3 + 2)² + 4·5. next, evaluate groups. (3 + 2)²…
The first box is \(25\) and the second box (the "?") is \(20\). So the expression becomes \(25 + 20\), and if we were to fully evaluate it, the result is \(45\), but for the boxes…
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d. multiplying the inputs of f by k will result in which of the followi…
H. The graph will have a positive slope, there will be no change in the y - intercept.
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legal reference sheet speech and the first amendment a. speaking the tr…
Law (under Social Science)
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evaluate the expression $(3 + 2)^2 + 4 \\cdot 5$. first, evaluate the g…
\(5\)
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cause and effect. find the best match for each cause and effect. be car…
1. D. People and governments must make choices about spending money. 2. E. The government must spend money paying interest to lenders. (Wait, no, earlier re - analysis: For cause …