Analyze

Problem 10101

Indira charges a flat fee of $\$ 10$ , plus $\$ 5$ per hour to teach violin If you create a linear equation for how much money Indira makes after a given number of hours, which statements are true about the linear equation?
Select all that apply. The $y$ -intercept of the linear equation is 10. The slope of the linear equation is 5 . The slope of the linear equation is $\frac{10}{5}$ , or 2 . The $y$ -intercept of the linear equation is 0 . The $y$ -intercept of the linear equation is 5 . The slope of the linear equation is 10.

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Problem 10102

What is the domain of each function? a) $y=2 x-5$ b) $y=x^{2}+5$ c) $y=\frac{3}{x+5}$ d) $y=\frac{7}{x^{2}-4}$

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Problem 10103

PREVIOUS ANS
The graph of the second derivative $f$ " of a function $f$ is shown. State the $x$ -coordinates of the inflection points of $f$ . $\square$ $x=8$ (smaller value) $x=3$ (larger value) Need Help? Master it

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Problem 10104

State whether the standardized test statistic $t$ indicates that you should reject the null hypothesis. Explain. (a) $t=-2.221$ (b) $t=2.166$ (c) $t=2.267$ (d) $t=-2.205$ (b) For $\mathrm{t}=2.166$ , should you reject or fail to reject the null hypothesis? A. Fail to reject $\mathrm{H}_{0}$ , because $-2.189<\mathrm{t}<2.189$ . B. Fail to reject $\mathrm{H}_{0}$ , because $t>2.189$ . C. Reject $\mathrm{H}_{0}$ , because $\mathrm{t}<-2.189$ . D. Reject $\mathrm{H}_{0}$ , because $-2.189<\mathrm{t}<2.189$ .

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Problem 10105

The exercise presents numerical information. Describe the population whose properties are analyzed by the data.
50\% of households in City A were online. households in the country online households in the country online households in City A households in City A

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Problem 10106

Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If at least one test can be applied to the series, enter CONV if it converges or DIV if it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA rather than CONV.)
1. $\sum_{n=1}^{\infty} \frac{\cos ^{2}(n) \sqrt{n}}{n^{4}}$
2. $\sum_{n=1}^{\infty} \frac{7 n^{4}}{n^{5}+7}$
3. $\sum_{n=1}^{\infty} \frac{(-1)^{n}}{7 n}$
4. $\sum_{n=1}^{\infty} \frac{\cos (n) \sqrt{n}}{7 n+7}$
5. $\sum_{n=1}^{\infty} \frac{8 n^{7}-n^{5}+7 \sqrt{n}}{7 n^{9}-n^{4}+2}$

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Problem 10107

Determine the interval(s) on which the function is (strictly) increasing. Write your answer as an interval or list of intervals. When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible. Click on "None" if applicable.

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Problem 10108

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the function's domain and range. $f(x)=x^{2}-2 x-8$

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Problem 10109

Consider the function $f(x)=3 x^{2}-24 x-8$ . a. Determine, without graphing, whether the function has a minimum value or a maximum value. b. Find the minimum or maximum value and determine where it occurs. c. Identify the function's domain and its range.

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Problem 10110

What do you look for in the nuclear equation that identifies a reaction as natural transmutation? $\qquad$

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Problem 10111

Consider the function $f(x)=x^{2 / 5}(x-5)$ . This function has two critical numbers $A<B$
Then $A=$ $\square$ and $B$ $\square$ .
For each of the following intervals, tell whether $f(x)$ is increasing or decreasing. $\begin{array}{ll} (-\infty, A]: ? & ? \\ {[A, B]: ?} & \vee \\ {[B, \infty)} & ? \end{array}$
The critical number $A$ is ? $\square$ and the critical number $B$ is $\square$ ? $\square$ There are two numbers $C<D$ where either $f^{\prime \prime}(x)=0$ or $f^{\prime \prime}(x)$ is undefined.
Then $C=$ $\square$ and $D=$ $\square$ Finally for each of the following intervals, tell whether $f(x)$ is concave up or concave down. $(-\infty, C)$ : ? $(C, D)$ ? $\square$ $(D, \infty)$ $?$ $\square$

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Problem 10112

Determine whether the statement makes sense or does not make sense, and explain the reasoning. The student must have made an error when graphing a parabola because its axis of symmetry is the $y$ -axis.

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Problem 10113

The figure shows that when a football is kicked, the nearest defensive player is 6 feet from the point of impact with the kicker's foot. The height of the punted football, $y$ , in feet, can be modeled by the following equation. $y=-0.01 x^{2}+1.18 x+2$
Determine whether the following statement makes sense or does not make sense, and explain your reasoning. The given figure shows that a linear model provides a better description of the football's path than a quadratic model.

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Problem 10114

Jetermine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The graph of $f(x)=-3(x+3)^{2}-6$ has one $y$ -intercept and two $x$ -intercepts.

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Problem 10115

Determine the interval(s). on which the function is constant. Write your answer as an interval or list of intervals. When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible. Click on "None" if applicable. $\square$ $\square$ $\square$ $\square$ $\infty$ None

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Problem 10116

Examine the following table. \begin{tabular}{|l|l|l|l|l|l|} \hline $\mathbf{x}$ & 1 & 2 & 3 & 4 & 5 \\ \hline $P(x)$ & 0.2 & 0.3 & 0.4 & 0.1 & 0.05 \\ \hline \end{tabular}
Does this table represent a probability distribution? Explain your answer. a. Yes, because the sum of the probabilites is less than one. b. Yes, because the sum of the probabilities is more than one. c. No, because the sum of the probabilities is more than one. d. No, because the sum of the probabilities is less than one.

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Problem 10117

Question 25 Points: 1
A house cleaning service claims that it can clean a four-bedroom house in less than 2 hours. A sample of $n=16$ houses is taken, and the sample mean is found to be 1.97 hours and the sample standard deviation is found to be 0.1 hours.
Write the interpretation base on the decision. A. There is enough evidence to reject the claim B. There is not enough evidence to support the claim C. There is enough evidence to support the claim D. There is not enough evidence to reject the claim

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Problem 10118

An augmented matrix is given. Determine the number of solutions to the corresponding system of equations $\left[\begin{array}{ccc|c} 1 & 0 & 0 & -3 \\ 0 & 1 & 0 & 2 \\ 0 & 0 & 1 & 0 \end{array}\right]$ The system has one solution. The system has no solution. The system has infinitely many solutions.

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Problem 10119

Which of the following arguments is not valid? $\frac{\neg(p \rightarrow q)}{\therefore \neg q}$ $\frac{p}{q} \begin{array}{l}\therefore p \leftrightarrow q\end{array}$ $p \vee q$ $\frac{p}{\therefore q}$ $p \leftrightarrow q$ $\frac{p \vee q}{\therefore p}$

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Problem 10120

Determine the exponential rate of increase for the function defined by this table of \begin{tabular}{c|l|} \hline $x$ & $y$ \\ \hline 0 & 4 \\ \hline 1 & 12 \\ \hline 2 & 36 \\ \hline 3 & 108 \\ \hline 4 & 324 \\ \hline \end{tabular}

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Problem 10121

Classifying scalene, isosceles, and equilateral triangles by side lengths
For each triangle, check all that apply.

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Problem 10122

Question Watch Video Show Examples
The derivative of the twice-differentiable function $f$ is shown below on the domain $(-9,9)$ . The graph of $f^{\prime}$ has points of inflection at $x=-3, x=1$ , indicated by small green circles. What inferences can be made about the graphs of $f, f^{\prime}$ , and $f^{\prime \prime}$ on the interval $(-3,0)$ ? Choose the best answer for each dropdown.
Answer Attempt 2 out of 2 From the figure given above, it can be seen that the graph of $f^{\prime}$ on the interval $(-3,0)$ is positive increasing $\square$ , and concave dow $\square$ Based on these observations, it can be concluded that: On the interval $(-3,0)$ , the graph of $f$ would be increasing and concave dow $\vee$ because $f^{\prime}$ is positive and increasing On the interval $(-3,0)$ , the graph of $f^{\prime \prime}$ would be positive only because $f^{\prime}$ is increasing

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Problem 10123

Let $z(x)=\sqrt{\tan (x)}$ . Which of the following best describes its fundamental algebraic structure? composition: A composition $f(g(x))$ of basic functions sum. A sum $f(x)+g(x)$ of basic functions product. A product $f(x) \cdot g(x)$ of basic functions quotient. A quotient $f(x) / g(x)$ of basic functions where $\begin{array}{l} f(x)=\square \\ g(x)=\square \end{array}$

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Problem 10124

Question 1 (2 points) Saved
A brand of potato chips has an average weight of 300 g . A random sample of 56 potato chip bags has an average weight of 310 g and a standard deviation of 5 g . Is there enough evidence, at the 0.02 level of significance to say that the mean weight of the potato chips is not equal to 300 g ?
Select the correct null and alternative hypothesis.
Two-tail: $H_{0}: \mu=300$ grams, and $H_{1}: \mu \neq 300$ grams
Left-tail $H_{0}: \mu \geq 300$ grams, and $H_{1}: \mu<300$ grams
Right-tail $H_{0}: \mu \leq 300$ grams, and $H_{1}: \mu>300$ grams

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Problem 10125

Several unit vectors $\vec{r}, \vec{s}, \vec{t}, \vec{u}, \vec{n}$ , and $\vec{e}$ in the xy-plane (not threedimensional space) are shown in the figure.
Using the geometric definition of the dot product, are the following dot products positive, negative, or zero? You may assume that angles that look the same are the same. $\square$ 1. $\vec{n} \cdot \vec{e}$ ? ? ? ? $\square$ ? $\square$ ? ? $\square$
2. $\vec{s} \cdot \vec{t}$ (Click on graph to enlarge)

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Problem 10126

Give the center and radius of the circle described by the equation and graph the equation. Use the graph to identify the domain and rand $(x+5)^{2}+(y-1)^{2}=36$
The center is $\square$ . (Type an ordered pair. Simplify your answer.) The radius is $\square$ $\square$ . (Type an integer or a simplified fraction.) Graph the circle.
Express the domain of the relation in interval notation. $\square$ Express the range of the relation in interval notation. $\square$

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Problem 10127

A new television show debuts amid great fanfare, and attracts 14 million viewers for the first episode. The number of viewers for subsequent episodes is shown in the table. \begin{tabular}{|c|c|} \hline Episode \# & \begin{tabular}{c} Viewers \\ (millions) \end{tabular} \\ \hline 1 & 14.0 \\ \hline 2 & 11.0 \\ \hline 3 & 8.8 \\ \hline 4 & 7.9 \\ \hline 5 & 7.2 \\ \hline 6 & 8.2 \\ \hline 7 & 7.9 \\ \hline 8 & 7.8 \\ \hline 9 & 7.6 \\ \hline \end{tabular}
Part: $0 / 2$
Part 1 of 2 (a) Use a graphing calculator to find the correlation coefficient for these data. Round to three decimal places.
The correlation coefficient, rounded to three decimal places, is $\square$ .

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Problem 10128

In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. $f(x)=2(x-4)^{2}+3$
The vertex is $\square$ (Type an ordered pair.)

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Problem 10129

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the parabola to identify the function's domain and range. $f(x)=(x-2)^{2}+4$
Use the graphing tool to graph the equation. Use the vertex and the $y$ -intercept when drawing the graph.
The axis of symmetry is $\square$ (Simplify your answer. Type an equation.) Identify the function's domain. The domain is $\square$ (Type the answer in interval notation.) Identify the function's range. The range is $\square$ (Type the answer in interval notation.)

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Problem 10130

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis graph to determine the domain and range of the function. $f(x)=4 x-x^{2}+12$
Use the graphing tool to graph the equation. Use the vertex and one of the intercepts to draw the graph.
The axis of symmetry is $\square$ (Type an equation.) The domain of the function is $\square$ (Type your answer in interval notation.) The range of the function is $\square$ . (Type your answer in interval notation.)

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Problem 10131

If $f(x)=\int_{0}^{x}\left(36-t^{2}\right) e^{t^{3}} d t$ for all $x$ , then find the largest open interval on which $f$ is increasing.
Answer (in interval notation): $\square$

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Problem 10132

Government agencies keep data about the income distribution of the population. The Wood family and Butler family live in a county with 11,000 families. The Wood family's income is at the $14^{\text {th }}$ percentile. The Butler family's income is at the $59^{\text {th }}$ percentile. (a) Which of the following must be true about the Wood family's and the Butler family's incomes? The Butler family earns more than the Wood family. Both the Wood family and the Butler family earn more than the median income. The Butler family earns $\$ 45,000$ more than the Wood family.
The Wood family and the Butler family both have incomes in the bottom half of incomes in their county. (b) Which of the following must be true about the Wood family's income? The Wood family earns more than about $86 \%$ of families in their county. About $86 \%$ of the families in their county earn more than the Wood family. The wood family earns about $14 \%$ of the highest income in their county. The wood family earns about $86 \%$ of the highest income in their county.

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Problem 10133

D. negotiate for a higher than market wage hike every year through collective bargaining. b. Suppose that the objective of a union is to maximize the total dues paid to the union by its membership. If union dues are paid as a flat amount per union member employed, the union's strate will be to A. negotiate for the wage level that is consistent with perfectly elastic demand for labor. B. negotiate for the maximum wage rate the employer is willing to pay for the number of workers belonging to the union. C. negotiate for the wage level that is consistent with unit elastic demand for labor. D. negotiate for limiting the entry of new workers over time. Clear all Check answer

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Problem 10134

Q. 3 ( 5 marks): Sands Corporation processes sugar beets that it purchases from farmers. Sugar beets are processed in batches, A batch of sugar beets costs \ $50 to buy from farmers and \$15 to crush in the company's plant. Two intermediate products, beet fiber and beet juice, emerge from the crushing process. The beet fiber can be sold as is for$ \ $20$ or processed further for $\$ 19$ to make the end product industrial fiber that is sold for $\$ 58$ . The beet juice can be sold as is for $\$ 41$ or processed further for $\$ 23$ to make the end product refined sugar that is sold for $\$ 58$ . Required: 1)- Which of the intermediate products should be processed further? 2)- How much profit (loss) does the company make by processing one batch of sugar beets into the end products industrial fiber and refined sugar?

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Problem 10135

\begin{tabular}{|c|c|c|c|c|} \hline Parameters & 1G & 2G & 3G & 4G \\ \hline Introduced in year & 1983 & 1990 & 2000 & 2010 \\ \hline Location of first commercialization & USA & Finland & Japan & South Korea \\ \hline Technology & AMPS (Advanced Mobile Phone System), NMT, TACS & IS-95, GSM & UMTS, HSPA & LTE-A, WiMAX 2 \\ \hline Multiple Address/Access system & FDMA & TDMA, CDMA & WCDMA & OFDMA \\ \hline Switching type & Circuit switching & Circuit switching for Voice and Packet switching for Data & Packet switching + Circuit switching & Packet switching \\ \hline Speed (data rates) & 2.4 Kbps to 14.4 kbps & 14.4 Kbps & 3.1 Mbps & > 300 Mbps \\ \hline Special Characteristic & First wireless communication & Digital version of 1G technology & Digital broadband, speed increments & Very high speeds, All IP \\ \hline Features & Voice only & Multiple users on single channel & Multimedia features, Video Call & High Speed, real time streaming \\ \hline Supports & Voice only & Voice and Data & Voice and Data & Voice and Data \\ \hline Internet service & No Internet & Narrowband & Broadband & Ultra Broadband \\ \hline & ar an v\%- & & ber 17, 2024 & $45$ \\ \hline \end{tabular}
Fifth Generation (5G) systems

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Problem 10136

If $f(x)=\int_{0}^{x}\left(4-t^{2}\right) e^{t^{2}} d t$ for all $x$ , then find the largest open interval on which $f$ is increasing.
Answer (in interval notation): $\square$

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Problem 10137

If $f(x)=\int_{0}^{x}\left(1-t^{2}\right) e^{t^{3}} d t$ for all $x$ , then find the largest open interval on which $f$ is increasing.
Answer (in interval notation): $\square$

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Problem 10138

Suppose $y=3 \sin (4(t+13))-6$ . In your answers, enter pi for $\pi$ . (a) The midline of the graph is the line with equation $y=-6$ help (equations) (b) The amplitude of the graph is 3 help (numbers) (c) The period of the graph is $\pi$ help (numbers)
Note: You can earn partial credit on this problem.

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Problem 10139

The stem-and-leaf plot below shows the number of pages each student in a class read the previous evening. \begin{tabular}{l|l} 0 & 0058 \\ 1 & 235889 \\ 2 & 246777 \\ 3 & 356 \\ 4 & 246 \\ 5 & 7 \end{tabular}
Which statement is true about the data set? Its median is greater than its mode. It has a range of 52 pages. The value of the first quartile is 13 . The data is symmetric.

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Problem 10140

Consumer Price Index, 1950-2002
Source: Bureau of Labor Statistics, U.S. Dept. of Labor a. no correlation b. positive correlation; as time passes, the CPI increases. c. positive correlation; as time passes, the CPI decreases. d. negative correlation: as time passes, the CPI decreases.

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Problem 10141

let $A=\left[\begin{array}{ccc}4 & -3 & 1 \\ 1 & 0 & -2 \\ -2 & 1 & 1\end{array}\right] \quad$ find the Rank of $A$

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Problem 10142

Choose the end behavior of the graph of each polynomial function. \begin{tabular}{|l|l|} \hline (a) $f(x)=4 x^{5}-4 x^{4}+4 x^{3}-3 x$ & Falls to the left and rises to the right \\ Rises to the left and falls to the right \\ Rises to the left and rises to the right \\ (b) $f(x)=5 x^{4}-3 x^{3}-2 x^{2}-6$ & Falls to the left and falls to the right and rises to the right \\ Rises to the left and falls to the right \\ (c) $f(x)=-4(x-3)^{2}(x+2)^{2}$ & Falls to the left and falls to the right and rises to the right \\ Rises to the left and falls to the right \\ Rises to the left and rises to the right rises to the right \\ Falls to the left and falls to the right \\ \hline \end{tabular}

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Problem 10143

Graph all vertical and horizontal asymptotes of the rational function. $f(x)=\frac{x+1}{-x^{2}-6}$

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Problem 10144

Points: 0 of 1
Use the discriminant to determine whether the quadratic equation has two unequal real solutions, a repeated real solution, or no real solution, without solving the equation. $3 x^{2}+7 x+5=0$
Which of the following correctly describes the solutions to the given equation? A. A repeated real solution B. No real solution C. Two unequal real solutions

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Problem 10145

Рівняння гіперболічного типу може визначати $\square$ гіперболу спряжену гіперболу пару прямих, що перетинаються пару паралельних прямих $\square$ точку

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Problem 10146

Число, яке дорівнює (балів: 0.5) $(-1)^{i+j} M_{i j}$ називаеться алгебрачїним доповненням елемента $a_{i j}$ визначника $\triangle$ мінором елемента $a_{i j}$ визначника $\triangle$

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Problem 10147

The price of apples at three different stores is shown below. Store R sells apples for $\$ 1.20$ per pound. Store $S$ sells 4 pounds of apples for $\$ 5.00$ . Store T sells 3 pounds of apples for $\$ 3.48$ . Which of these is a true statement? (a) Store $R$ sells apples at the lowest rate. (b) Store $T$ sells apples at the lowest rate. (c) Store S charges a lower rate for apples than Store T . (d) Store $T$ charges the same rate for apples as Store R.

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Problem 10148

The data below is a list of 120 values of Body Mass Index (BMI) data from the 1998 National Health Interview Survey on US adults. \begin{tabular}{llllllllll} 27.4 & 31.0 & 34.2 & 28.9 & 25.7 & 37.1 & 24.8 & 34.9 & 27.5 & 25.9 \\ 23.5 & 30.9 & 27.4 & 25.9 & 22.3 & 21.3 & 37.8 & 28.8 & 28.8 & 23.4 \\ 21.9 & 30.2 & 24.7 & 36.6 & 25.4 & 21.3 & 22.9 & 24.2 & 27.1 & 23.1 \\ 28.6 & 27.3 & 22.7 & 22.7 & 27.3 & 23.1 & 22.3 & 32.6 & 29.5 & 38.8 \\ 21.9 & 24.3 & 26.5 & 30.1 & 27.4 & 24.5 & 22.8 & 24.3 & 30.9 & 28.7 \\ 22.4 & 35.9 & 30.0 & 26.2 & 27.4 & 24.1 & 19.8 & 26.9 & 23.3 & 28.4 \\ 20.8 & 26.5 & 28.2 & 18.3 & 30.8 & 27.6 & 21.5 & 33.6 & 24.8 & 28.3 \\ 25.0 & 35.8 & 25.4 & 27.3 & 23.0 & 25.7 & 22.3 & 35.5 & 29.8 & 27.4 \\ 31.3 & 24.0 & 25.8 & 21.1 & 21.1 & 29.3 & 24.0 & 22.5 & 32.8 & 38.2 \\ 27.3 & 19.2 & 26.6 & 30.3 & 31.6 & 25.4 & 34.8 & 24.7 & 25.6 & 28.3 \\ 26.5 & 28.3 & 35.0 & 20.2 & 37.5 & 25.8 & 27.5 & 28.8 & 31.1 & 28.7 \\ 24.1 & 24.0 & 20.7 & 24.6 & 21.1 & 21.9 & 30.8 & 24.6 & 33.2 & 31.6 \end{tabular}
Perform the following using the data as provided:
1. An Ordered Array (Ascending order) of the data
2. Generate a grouped frequency distribution table with appropriate intervals
3. Draw a histogram for the distribution
4. Construct a Cumulative Relative Frequency table and use it to draw a i. cumulative frequency curve ii. cumulative frequency polygon iii. pie chart iv. cumulative relative frequency histogram
5. Compute the: i. Mean ii. Median iii. Variance iv. Standard deviation v. Coefficient of variation

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Problem 10149

$88^{*} \mathbf{E x}(4):$ For the line $2 \mathbf{y}-\mathbf{6 x}=\mathbf{8}$ . Find:1) the $y$ - intercept 2) slope 3) $x$ - intercept
Solution: $2 y-6 x=8 \Leftrightarrow 2 y=6 x+8 \Leftrightarrow y=3 x+4$ 2) Slope $=3$

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Problem 10150

A particle moves along the $x$ -axis so that at time $t \geq 0$ its position is given by $x(t)=t^{3}-6 t^{2}+33$ . Determine the total distance traveled by the particle from $0 \leq t \leq 5$ .

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Problem 10151

5. Use the dot plot to list the actual data entries. What is the maximum data entry? What is the minimum data entry?
Choose the correct actual data entries below. A. $20,21,22,23,24,25,26$ B. $120,121,122,123,124,125,126,220$ , 221, 222, 224, 321, 322, 422, 522 C. $20,20,21,21,21,22,22,22,22,22$ , $23,24,24,25,26$ D. $2.0,2.0,2.1,2.1,2.1,2.2,2.2,2.2,2.2$ , $2.2,2.3,2.4,2.4,2.5,2.6$
The maximum data entry is $\square$ .
The minimum data entry is $\square$ .

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Problem 10152

Select all of the following tables which represent $y$ as a function of $x$ and are one-to-one.
\begin{tabular}{|r|r|r|r|} \hline $x$ & 4 & 6 & 11 \\ \hline $y$ & 5 & 10 & 13 \\ \hline \end{tabular}
\begin{tabular}{|r|r|r|r|} \hline $x$ & 4 & 6 & 6 \\ \hline $y$ & 5 & 10 & 13 \\ \hline \end{tabular}
\begin{tabular}{|r|r|r|r|} \hline $x$ & 4 & 6 & 11 \\ \hline $y$ & 5 & 10 & 10 \\ \hline \end{tabular}

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Problem 10153

\begin{align}
1. & \quad f(x) = 3\left(e^{x} + e^{-x}\right) \\
3. & \quad f(w) = \frac{e^{w} + 2}{e^{w}} \\
5. & \quad f(x) = 2 e^{3x-1} \end{align}

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Problem 10154

If you wanted a more accurate way to fit the trend line to the data, a method called least squares could be used. This method finds the largest distance between the data points and the trend line.
Select one: a. TRUE b. FALSE

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Problem 10155

A researcher believes, among other things, the town one lives in within the state influences the likelihood of contracting cancer. He has data from three towns and has decided to code the towns as follows $X=$ Town, where: $X=0$ if C'burg, $X=1$ if B'burg; $X=2$ if L'burg. This is an appropriate means for including qualitative data into his analysis.
Select one: a. TRUE b. FALSE

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Problem 10156

$\lim _{x \rightarrow 1} \frac{e^{x}-e}{x-1}$

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Problem 10157

Briefly summarize each of the four fairness criteria. For each one, give an example that describes why an election would be unfair if the criterion were violated.
Describe the first of the four criteria. Fill in the correct answer below. If a candidate receives a majority of the first-place votes, that candidate should be the winner. Give an example that describes why an election would be unfair if this criterion were violated Choose the correct answer below. A. Under this criterion, an election would be unfair if no candidate received a majority vote. B. Under this criterion, an election would be unfair if a candidate other than the one who receives a majority of the first-place votes wins. C. Under this criterion, all elections would be fair.
Describe the second of the four criteria. Fill in the correct answer below. If a candidate is favored over every other candidate in pairwise races, that candidate $\square$ should be declared the winner.
Give an example that describes why an election would be unfair if this criterion were violated. Choose the correct answer below. A. Under this criterion, an election would be unfair if no candidate was favored over every other candidate in pairwise races. B. Under this criterion, an election would be unfair if a candidate other than the one who is favored over every other candidate in pairwise races wins. C. Under this criterion, all elections would be fair

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Problem 10158

For $f(x)=r x+s$ and $g(x)=\frac{1}{r}(x-s), r \neq 0$ , find $(f \circ g)(x)$ and $(g \circ f)(x)$ . Then determine whether $(f \circ g)(x)=(g \circ f)(x)$ .
What is $(f \circ g)(x)$ ? $(f \circ g)(x)=$

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Problem 10159

Question 6 Not yet answered Marked out of 2.00 Which of the following is not a business transaction? Answer a. Purchase of goods for business. b. Payment of house tax belonging to owner c. Sale of goods. $\bigcirc$ d. Payment of sales tax

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Problem 10160

For the function on the right, determine whether the function is one-to-one.
Is the function one-to-one? Yes No

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Problem 10161

Consider the functions $f(x)=x^{3}-9$ and $g(x)=\sqrt[3]{x+9}$ (a) Find $f(g(x))$ . (b) Find $g(f(x))$ . (c) Determine whether the functions $f$ and $g$ are inverses of each other.

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Problem 10162

5 Identify whether each relation is a function or not a function. DRAG \& DROP THE ANSWER $y=\frac{5}{3} x+5$
Function -----------------------------| Not a function

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Problem 10163

Translate each graph as specified below. (a) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=x^{2}+1$ . (b) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=(x+5)^{2}$ .

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Problem 10164

Which of the formulas below are valid? Select all that apply? a. $=J 5+C 21 / D 21$ b. $=A+B+C$ c. $=1-3$ d. $\mathrm{C8}+\mathrm{C7}$

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Problem 10165

For the following quadratic function, (a) find the vertex, the axis of symmetry, and the maximum or minimum function value, and (b) graph the function. $f(x)=2 x^{2}-4 x+3$

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Problem 10166

Price
Quantity
1. Will the country import or export wheat if they decide to trade?
Import
2. How much will this country import/export if they decide to trade? $\square$
3. Calculate the gains from trade if the country decides to trade. $\square$
4. What is autarky price in this case? $\square$

See Solution

Problem 10167

What is the coefficient of $x: \quad 7-3 x+x^{2}$

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Problem 10168

Find the domain of the function. $g(x)=\ln (x+9)$
The domain of g is $\square$ (Type your answer in interval notation.)

See Solution

Problem 10169

ChatGPT Th Multiple Choice Quiz (L... Practice Quiz: Attempt re
Price
1. Will the country import or export wheat if they decide to trade? Import
2. How much will this country import/export if they decide to trade? $\square$
3. Calculate the gains from trade if the country decides to trade. $\square$
4. What is autarky price in this case? 5 $\square$

See Solution

Problem 10170

Describe the transformations of the parent function $f(x)=|x|$
1. $g(x)=-|x|+5$

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Problem 10171

Find the eigenvalues and eigenvectors associated with the following matrix: $A=\left[\begin{array}{cc} 3 & 5 \\ -1 & -3 \end{array}\right]$

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Problem 10172

Find the domain of the following function. $f(x)=\frac{x+2}{x^{2}-49}$

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Problem 10173

student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both ores for each of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference etween the two stores. Use the $\alpha=0.005$ level of significance. Complete parts (a) through (d) below. \begin{tabular}{rcccccccccc} & A & B & C & D & E & F & G & H & I & J \\ Store & 5.96 & 7.48 & 3.75 & 1.72 & 1.71 & 2.88 & 4.75 & 3.19 & 2.96 & 3.75 \\ $\mathbf{1}$ & & & & & & & & & & \\ Store & 5.93 & 7.92 & 3.93 & 1.79 & 1.94 & 2.41 & 4.74 & 3.77 & 2.97 & 3.65 \\ $\mathbf{2}$ & & & & & & & & & & \end{tabular} (c) Use technology to calculate the P-value. 0.356 (Round to three decimal places as needed.) (d) Draw a conclusion based on the hypothesis test. Choose the correct answer below. A. There is sufficient evidence to reject the null hypothesis because the P -value $<\alpha$ . B. There is not sufficient evidence to reject the null hypothesis because the $P$ -value $>\boldsymbol{\alpha}$ . C. There is sufficient evidence to reject the null hypothesis because the $P$ -value $>\alpha$ . D. There is not sufficient evidence to reject the null hypothesis because the $P$ -value $<\boldsymbol{\alpha}$ .

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Problem 10174

2 . In Exercises 23-28, graph three periods of the function. Use your understanding of transformations, not your grapher. Be sure to show the scale on both axes.
23. $y=5 \sin 2 x$
24. $y=3 \cos \frac{x}{2}$
25. $y=0.5 \cos 3 x$
26. $y=20 \sin 4 x$

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Problem 10175

Carlos has a part-time job at an ice skating rink selling hot cocoa. He decided to plot the number of hot cocoas he sold relative to the day's high temperature and then draw the line of best fit. What does the slope of the line represent?

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Problem 10176

Determine if this statement is valid: A candidate got the most first-place votes but lost. Explain your choice.

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Problem 10177

Determine if this statement is logical: A candidate favored in head-to-head matchups lost the election. Choose A, B, C, or D.

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Problem 10178

Evaluate if the election statement is logical. Choose: A. Makes sense; B. Doesn't make sense (irrelevant alternatives); C. Doesn't make sense (monotonicity); D. Makes sense (monotonicity).

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Problem 10179

Evaluate if the approval voting method meets fairness criteria and choose the correct explanation from options A-D.

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Problem 10180

Given a preference table, find the winner using Borda count, and check if majority and head-to-head criteria are met.

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Problem 10181

Identify which preference table causes the Borda count winner to violate the majority criterion among candidates A, B, C.

See Solution

Problem 10182

Select the preference table where the plurality winner fails the head-to-head criterion. Options: A, B, C.

See Solution

Problem 10183

Create a preference table for candidates A, B, and C. The plurality winner violates the irrelevant alternatives criterion. Choose the correct table.

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Problem 10184

Create a preference table for candidates A, B, C. Show how the plurality-with-elimination method violates monotonicity. Votes: A=12, B=8, C=6; after eliminating C: A=14, B=12.

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Problem 10185

Create a preference table for three candidates A, B, and C. Show how plurality method violates irrelevant alternatives criterion.

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Problem 10186

Calculate the standard deviation for the data: 1 | 877868, 2 | 0323.

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Problem 10187

Find the percentage of buyers who paid between \ $22,500 and \$24,500, given a mean of \$22,500 and std dev of \$1000. The percentage is$ \square \%$.

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Problem 10188

Find the percentage of buyers who paid between \$22,500 and \$24,500 using the normal distribution with mean \$22,500 and SD \$1000.

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Problem 10189

Find the percentage of buyers who paid more than \ $17,500 for a car with a mean of \$16,500 and SD of \$1000. Answer:$ \square \%$.

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Problem 10190

Compare IQs using z-scores: Test A (mean 100, SD 14) score 127 vs Test B (mean 100, SD 16) score 130. Who is higher?

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Problem 10191

Which question is NOT answerable by chemistry? a) How to produce a material efficiently? b) Why does matter exist? c) What is a substance made of? d) Is a substance harmful to humans? Check It

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Problem 10192

Based on a survey of 836 adults, 64% favor gun registration. With a margin of error of $\pm 3.5\%$ , find the range of support.

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Problem 10193

Prove that $\frac{1+\sin x}{\cos x}+\frac{\cos x}{1+\sin x} \equiv 2 \sec x$ .

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Problem 10194

Create a table of relative frequencies for tar in non-filtered and filtered cigarettes. Compare their effectiveness.

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Problem 10195

Check if the following properties apply to solids, liquids, or gases: highly compressible, fluid, shape of container, fills volume, particles far apart, molecules moving.

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Problem 10196

Test 10 fridge temperatures: $37.8, 38.3, 38.1, 38.0, 37.6, 38.2, 38.0, 38.0, 37.4, 38.3$ . Is it accurate (yes/no) and precise (yes/no)?

See Solution

Problem 10197

Test 10 fridge temperatures: $37.8, 38.3, 38.1, 38.0, 37.6, 38.2, 38.0, 38.0, 37.4, 38.3$ . Is it accurate (yes/no) and precise (yes/no)?

See Solution

Problem 10198

Find the orientation, center, vertices, conjugate axis ends, foci, and lengths of the axes for $\frac{y^{2}}{16}-x^{2}=1$ . Graph it.

See Solution

Problem 10199

Create a dot plot in Excel from these sleep hours: 5.5, 6, 5, 5.5, 5.5, 7, 5, 6, 7, 5.5, 13, 10, 11, 12, 5, 5, 6, 5, 6.5, 12, 12. Find the median and mode.

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Problem 10200

Determine the center, vertices, foci, and axis of the hyperbola $\frac{y^{2}}{16}-x^{2}=1$ and graph it.

See Solution

1 ...99 100 101 102 103 104 105 ...160

Analyze

Problem 10101

Problem 10102

What is the domain of each function? a) y=2x−5y=2 x-5y=2x−5 b) y=x2+5y=x^{2}+5y=x2+5 c) y=3x+5y=\frac{3}{x+5}y=x+53​ d) y=7x2−4y=\frac{7}{x^{2}-4}y=x2−47​

Problem 10103

PREVIOUS ANSThe graph of the second derivative fff " of a function fff is shown. State the xxx-coordinates of the inflection points of fff. □\square□ x=8x=8x=8 (smaller value) x=3x=3x=3 (larger value) Need Help? Master it

Problem 10104

Problem 10105

The exercise presents numerical information. Describe the population whose properties are analyzed by the data.50\% of households in City A were online. households in the country online households in the country online households in City A households in City A

Problem 10106

Problem 10107

Determine the interval(s) on which the function is (strictly) increasing. Write your answer as an interval or list of intervals. When writing a list of intervals, make sure to separate each interval with a comma and to use as few intervals as possible. Click on "None" if applicable.

Problem 10108

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the function's domain and range. f(x)=x2−2x−8f(x)=x^{2}-2 x-8f(x)=x2−2x−8

Problem 10109

Consider the function f(x)=3x2−24x−8f(x)=3 x^{2}-24 x-8f(x)=3x2−24x−8. a. Determine, without graphing, whether the function has a minimum value or a maximum value. b. Find the minimum or maximum value and determine where it occurs. c. Identify the function's domain and its range.

Problem 10110

What do you look for in the nuclear equation that identifies a reaction as natural transmutation? \qquad

Problem 10111

Problem 10112

Determine whether the statement makes sense or does not make sense, and explain the reasoning. The student must have made an error when graphing a parabola because its axis of symmetry is the yyy-axis.

Problem 10113

Problem 10114

Jetermine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The graph of f(x)=−3(x+3)2−6f(x)=-3(x+3)^{2}-6f(x)=−3(x+3)2−6 has one yyy-intercept and two xxx-intercepts.

Problem 10115

Problem 10116

Problem 10117

Problem 10118

Problem 10119

Problem 10120

Determine the exponential rate of increase for the function defined by this table of \begin{tabular}{c|l|} \hlinexxx & yyy \\ \hline 0 & 4 \\ \hline 1 & 12 \\ \hline 2 & 36 \\ \hline 3 & 108 \\ \hline 4 & 324 \\ \hline \end{tabular}

Problem 10121

Classifying scalene, isosceles, and equilateral triangles by side lengthsFor each triangle, check all that apply.

Problem 10122

Problem 10123

Problem 10124

Problem 10125

Problem 10126

Problem 10127

Problem 10128

In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)=2(x−4)2+3f(x)=2(x-4)^{2}+3f(x)=2(x−4)2+3The vertex is □\square□ (Type an ordered pair.)

Problem 10129

Problem 10130

Problem 10131

If f(x)=∫0x(36−t2)et3dtf(x)=\int_{0}^{x}\left(36-t^{2}\right) e^{t^{3}} d tf(x)=∫0x​(36−t2)et3dt for all xxx, then find the largest open interval on which fff is increasing.Answer (in interval notation): □\square□

Problem 10132

Problem 10133

Problem 10134

Problem 10135

Problem 10136

If f(x)=∫0x(4−t2)et2dtf(x)=\int_{0}^{x}\left(4-t^{2}\right) e^{t^{2}} d tf(x)=∫0x​(4−t2)et2dt for all xxx, then find the largest open interval on which fff is increasing.Answer (in interval notation): □\square□

Problem 10137

If f(x)=∫0x(1−t2)et3dtf(x)=\int_{0}^{x}\left(1-t^{2}\right) e^{t^{3}} d tf(x)=∫0x​(1−t2)et3dt for all xxx, then find the largest open interval on which fff is increasing.Answer (in interval notation): □\square□

Problem 10138

Problem 10139

Problem 10140

Consumer Price Index, 1950-2002Source: Bureau of Labor Statistics, U.S. Dept. of Labor a. no correlation b. positive correlation; as time passes, the CPI increases. c. positive correlation; as time passes, the CPI decreases. d. negative correlation: as time passes, the CPI decreases.

Problem 10141

let A=[4−3110−2−211]A=\left[\begin{array}{ccc}4 & -3 & 1 \\ 1 & 0 & -2 \\ -2 & 1 & 1\end{array}\right] \quadA=⎣⎡​41−2​−301​1−21​⎦⎤​ find the Rank of AAA

Problem 10142

Problem 10143

Graph all vertical and horizontal asymptotes of the rational function. f(x)=x+1−x2−6f(x)=\frac{x+1}{-x^{2}-6}f(x)=−x2−6x+1​

Problem 10144

Problem 10145

Рівняння гіперболічного типу може визначати □\square□ гіперболу спряжену гіперболу пару прямих, що перетинаються пару паралельних прямих □\square□ точку

Problem 10146

Problem 10147

Problem 10148

Problem 10149

Problem 10150

A particle moves along the xxx-axis so that at time t≥0t \geq 0t≥0 its position is given by x(t)=t3−6t2+33x(t)=t^{3}-6 t^{2}+33x(t)=t3−6t2+33. Determine the total distance traveled by the particle from 0≤t≤50 \leq t \leq 50≤t≤5.

Problem 10151

Problem 10152

Problem 10153

\begin{align*}1. & \quad f(x) = 3\left(e^{x} + e^{-x}\right) \\3. & \quad f(w) = \frac{e^{w} + 2}{e^{w}} \\5. & \quad f(x) = 2 e^{3x-1} \end{align*}

Problem 10154

If you wanted a more accurate way to fit the trend line to the data, a method called least squares could be used. This method finds the largest distance between the data points and the trend line.Select one: a. TRUE b. FALSE

Problem 10155

Problem 10156

lim⁡x→1ex−ex−1\lim _{x \rightarrow 1} \frac{e^{x}-e}{x-1}limx→1​x−1ex−e​

What is the domain of each function? a) $y=2 x-5$ b) $y=x^{2}+5$ c) $y=\frac{3}{x+5}$ d) $y=\frac{7}{x^{2}-4}$

PREVIOUS ANS
The graph of the second derivative $f$ " of a function $f$ is shown. State the $x$ -coordinates of the inflection points of $f$ . $\square$ $x=8$ (smaller value) $x=3$ (larger value) Need Help? Master it

The exercise presents numerical information. Describe the population whose properties are analyzed by the data.
50\% of households in City A were online. households in the country online households in the country online households in City A households in City A

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry. Use the graph to determine the function's domain and range. $f(x)=x^{2}-2 x-8$

Consider the function $f(x)=3 x^{2}-24 x-8$ . a. Determine, without graphing, whether the function has a minimum value or a maximum value. b. Find the minimum or maximum value and determine where it occurs. c. Identify the function's domain and its range.

What do you look for in the nuclear equation that identifies a reaction as natural transmutation? $\qquad$

Determine whether the statement makes sense or does not make sense, and explain the reasoning. The student must have made an error when graphing a parabola because its axis of symmetry is the $y$ -axis.

Jetermine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The graph of $f(x)=-3(x+3)^{2}-6$ has one $y$ -intercept and two $x$ -intercepts.

Determine the exponential rate of increase for the function defined by this table of \begin{tabular}{c|l|} \hline $x$ & $y$ \\ \hline 0 & 4 \\ \hline 1 & 12 \\ \hline 2 & 36 \\ \hline 3 & 108 \\ \hline 4 & 324 \\ \hline \end{tabular}

Classifying scalene, isosceles, and equilateral triangles by side lengths
For each triangle, check all that apply.

In the following exercise, find the coordinates of the vertex for the parabola defined by the given quadratic function. $f(x)=2(x-4)^{2}+3$
The vertex is $\square$ (Type an ordered pair.)

If $f(x)=\int_{0}^{x}\left(36-t^{2}\right) e^{t^{3}} d t$ for all $x$ , then find the largest open interval on which $f$ is increasing.
Answer (in interval notation): $\square$

If $f(x)=\int_{0}^{x}\left(4-t^{2}\right) e^{t^{2}} d t$ for all $x$ , then find the largest open interval on which $f$ is increasing.
Answer (in interval notation): $\square$

If $f(x)=\int_{0}^{x}\left(1-t^{2}\right) e^{t^{3}} d t$ for all $x$ , then find the largest open interval on which $f$ is increasing.
Answer (in interval notation): $\square$

Consumer Price Index, 1950-2002
Source: Bureau of Labor Statistics, U.S. Dept. of Labor a. no correlation b. positive correlation; as time passes, the CPI increases. c. positive correlation; as time passes, the CPI decreases. d. negative correlation: as time passes, the CPI decreases.

let $A=\left[\begin{array}{ccc}4 & -3 & 1 \\ 1 & 0 & -2 \\ -2 & 1 & 1\end{array}\right] \quad$ find the Rank of $A$

Graph all vertical and horizontal asymptotes of the rational function. $f(x)=\frac{x+1}{-x^{2}-6}$

Рівняння гіперболічного типу може визначати $\square$ гіперболу спряжену гіперболу пару прямих, що перетинаються пару паралельних прямих $\square$ точку

A particle moves along the $x$ -axis so that at time $t \geq 0$ its position is given by $x(t)=t^{3}-6 t^{2}+33$ . Determine the total distance traveled by the particle from $0 \leq t \leq 5$ .

\begin{align}
1. & \quad f(x) = 3\left(e^{x} + e^{-x}\right) \\
3. & \quad f(w) = \frac{e^{w} + 2}{e^{w}} \\
5. & \quad f(x) = 2 e^{3x-1} \end{align}

If you wanted a more accurate way to fit the trend line to the data, a method called least squares could be used. This method finds the largest distance between the data points and the trend line.
Select one: a. TRUE b. FALSE

$\lim _{x \rightarrow 1} \frac{e^{x}-e}{x-1}$

Question 6 Not yet answered Marked out of 2.00 Which of the following is not a business transaction? Answer a. Purchase of goods for business. b. Payment of house tax belonging to owner c. Sale of goods. $\bigcirc$ d. Payment of sales tax

For the function on the right, determine whether the function is one-to-one.
Is the function one-to-one? Yes No

Consider the functions $f(x)=x^{3}-9$ and $g(x)=\sqrt[3]{x+9}$ (a) Find $f(g(x))$ . (b) Find $g(f(x))$ . (c) Determine whether the functions $f$ and $g$ are inverses of each other.

5 Identify whether each relation is a function or not a function. DRAG \& DROP THE ANSWER $y=\frac{5}{3} x+5$
Function -----------------------------| Not a function

Translate each graph as specified below. (a) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=x^{2}+1$ . (b) The graph of $y=x^{2}$ is shown. Translate it to get the graph of $y=(x+5)^{2}$ .

Which of the formulas below are valid? Select all that apply? a. $=J 5+C 21 / D 21$ b. $=A+B+C$ c. $=1-3$ d. $\mathrm{C8}+\mathrm{C7}$

For the following quadratic function, (a) find the vertex, the axis of symmetry, and the maximum or minimum function value, and (b) graph the function. $f(x)=2 x^{2}-4 x+3$

What is the coefficient of $x: \quad 7-3 x+x^{2}$

Find the domain of the function. $g(x)=\ln (x+9)$
The domain of g is $\square$ (Type your answer in interval notation.)

Describe the transformations of the parent function $f(x)=|x|$
1. $g(x)=-|x|+5$

Find the eigenvalues and eigenvectors associated with the following matrix: $A=\left[\begin{array}{cc} 3 & 5 \\ -1 & -3 \end{array}\right]$

Find the domain of the following function. $f(x)=\frac{x+2}{x^{2}-49}$