Analyze

Problem 10401

Which set of ordered pairs does not represent a function?
Answer {(0,4),(8,8),(2,7),(6,2)}\{(0,-4),(-8,8),(2,-7),(6,2)\} {(2,3),(4,3),(3,8),(8,7)}\{(-2,3),(4,3),(3,8),(8,-7)\} {(5,6),(0,7),(1,7),(9,3)}\{(5,6),(0,7),(-1,7),(-9,3)\} {(8,7),(8,9),(0,6),(1,8)}\{(8,-7),(8,-9),(0,-6),(1,8)\} Submit Answer

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Problem 10402

Moira solved a problem on the board. What error did Moira make and how can she correct it? 12x+10=5410x12x+1010=5410x1012x=4410x12x10x=4410x+10x2x=44x=22\begin{aligned} 12 x+10 & =54-10 x \\ 12 x+10-10 & =54-10 x-10 \\ 12 x & =44-10 x \\ 12 x-10 x & =44-10 x+10 x \\ 2 x & =44 \\ x & =22 \end{aligned} On the left side of the equation, Moira should have subtracted 10x and on the right side of the equation, Moira should have added 10x. On the left side of the equation, Moira should have added 10x10 x, and on the right side of the equation, Moira should have subtracted 10x10 x. On the left side of the equation, Moira should have added 10x, and on the right side of the equation, Moira should have also added 10x. On the left side of the equation, Moira should have subtracted 10x10 x, and on the right side of the equation, Moira should have also subtracted 10x10 x.

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Problem 10403

The equation of an exponential function has the form y=Abxy=A b^{x}. How can you tell from the equation whether the exponential function represents growth or decay?

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Problem 10404

An equilateral triangle is shown below. Line mm passes through a vertex and bisects a side. Line nn bisects each side it passes through. Point YY is the center of the triangle.
Which transformation(s) must map the triangle exactly onto itself? Choose all that apply. Counterclockwise rotation about YY by 120120^{\circ} Reflection across line mm Clockwise rotation about YY by 360360^{\circ} Reflection across line nn None of the above

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Problem 10405

A regular pentagon is shown below. Line cc bisects each side it passes through. Line dd passes through a vertex and bisects a side. Point XX is the center of the pentagon.
Which transformation(s) must map the pentagon exactly onto itself? Choose all that apply. Clockwise rotation about XX by 120120^{\circ} Reflection across line dd Reflection across line cc Counterclockwise rotation about XX by 180180^{\circ} None of the above Explanation Check

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Problem 10406

Exercice N2\mathbf{N}^{\circ} 2 : On considère les molécules : CCl4,H2 S,HCN,SO3,AlH3,PCl3\mathrm{CCl}_{4}, \mathrm{H}_{2} \mathrm{~S}, \mathrm{HCN}, \mathrm{SO}_{3}{ }^{-}, \mathrm{AlH}_{3}, \mathrm{PCl}_{3}. Donner l'état d'hybridation des atomes C,S,Al,P\mathrm{C}, \mathrm{S}, \mathrm{Al}, \mathrm{P} dans ces molécules ainsi que le nombre, la nature des liaisons et le nombre de doublets libres dans chacune d'elles. De plus, en utilisant la règle de Gillespie (VSEPR) prévoir la géométrie de chaque molécule.

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Problem 10407

Укажи коэффициенты квадратного уравнения.
Запиши в каждое поле ответа верное число. 9x23x+4=0a=,b=,c=2x2+x6=0a=,b=,c=x2+2x=0a=,b=,c=x28=0r=a=,b=,c=\begin{array}{l} 9 \mathrm{x}^{2}-3 \mathrm{x}+4=0 \\ \mathrm{a}=\square, \mathrm{b}=\square, \mathrm{c}=\square \\ 2 \mathrm{x}^{2}+\mathrm{x}-6=0 \\ \mathrm{a}=\square, \mathrm{b}=\square, \mathrm{c}=\square \\ -\mathrm{x}^{2}+2 \mathrm{x}=0 \\ \mathrm{a}=\square, \mathrm{b}=\square, \mathrm{c}=\square \\ \mathrm{x}^{2}-8=0 \mathrm{r}= \\ \mathrm{a}=\square, \mathrm{b}=\square, \mathrm{c}=\square \end{array}

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Problem 10408

```latex \begin{table}[h] \centering \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|} \hline & \multicolumn{1}{|c|}{ \text{Kafsha e laboratorit} } \\ \cline { 2 - 11 } \text{Anestezia} & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 \\ \hline A & .28 & .50 & .68 & .27 & .31 & .99 & .26 & .35 & .38 & .34 \\ \hline B & .20 & .38 & .50 & .29 & .38 & .62 & .42 & .87 & .37 & .43 \\ \hline C & 1.23 & 1.34 & .55 & 1.06 & .48 & .68 & 1.12 & 1.52 & .27 & .35 \\ \hline \end{tabular} \caption{Data e kafshëve në laborator për anestezi të ndryshme} \end{table}
\text{Llogarisni komponentet shtese te variances për të gjitha grupet.}

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Problem 10409

For the given function, use your intuition or additional research, if necessary, to complete parts (a) through (c) below. (angle of football, horizontal distance traveled by football) a. Describe an appropriate domain and range for the function. b. Make a rough sketch of a graph of the function. c. Briefly discuss the validity of the graph as a model of the true function. a. Choose the appropriate domain for the function below. A. The domain is the horizontal distances traveled by the football thrown at certain angles or 0 ft to 200 mi . B. The domain is all angles a football could be thrown at or 00^{\circ} to 360360^{\circ}. C. The domain is all angles a football could be thrown at or 00^{\circ} to 9090^{\circ}. D. The domain is the horizontal distances traveled by the football thrown at certain angles or 0 ft to 200 ft .

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Problem 10410

Identify the vertex, and the yy-intercept then graph f(x)=x24x+2f(x)=x^{2}-4 x+2. Hint: Click the vertex, then click another point of the parabola (like the yy-intercept). The vertex is ( \square \square The yy-intercept is ( 0 , \square )

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Problem 10411

3. DEF\triangle D E F has vertices at D(8,2),E(1,3)D(8,-2), E(1,-3), and F(9,9)F(9,-9). Use special segments to determine if EFE F is the base of an isosceles triangle. ρ(8,2)\rho(8,-2)

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Problem 10412

13. Last year Conner paid 15%15 \% of his earmings in federal taxes. He paid $3000\$ 3000. Jose also paid 15%15 \% of his earnings in federal taxes, but he paid $3600\$ 3600. How much more did lose earn than Conner? (A) $4000\$ 4000 (c) $20,000\$ 20,000 (B) $6000\$ 6000 (D) $24,000\$ 24,000
14. The tahle shows the price of a bus ticket based on the number of miles traveled. Which equation represents the relationship between the ticket price pp and the number of miles traveled mm ? (F) p=2mp=2 m \begin{tabular}{|c|c|} \hline Miles & Price \\ \hline 100 & $50\$ 50 \\ \hline 150 & $70\$ 70 \\ \hline 200 & $90\$ 90 \\ \hline 250 & $110\$ 110 \\ \hline \\ \hline \end{tabular} (6) p=0.5mp=0.5 m (H) p=2π+10p=2 \pi+10 (I) p=0.4m+10p=0.4 m+10
15. During a trip, Josh recorded the amount of time it took him to travel the distances shown in the table below. \begin{tabular}{|l|c|c|c|c|} \hline Time (hours) & 2 & 5 & 7 & 8 \\ \hline Distance (miles) & 60 & 150 & 210 & 240 \\ \hline \end{tabular}

Which equation represents the relationship between distance dd and time tt ? (A) d=30td=30 t (C) d=30+td=30+t (B) t=30dt=30 d (D) t=d+30t=d+30
16. A stepped-out solution is shown below. 3(3x1)3(5x3)=49x315x+9=46x+6=46x+66=466x=26x6=26x=13\begin{aligned} 3(3 x-1)-3(5 x-3) & =4 \\ 9 x-3-15 x+9 & =4 \\ -6 x+6 & =4 \\ -6 x+6-6 & =4-6 \\ -6 x & =-2 \\ \frac{-6 x}{-6} & =\frac{-2}{-6} \\ x & =\frac{1}{3} \end{aligned}  Step 19x315x+9=4 Step 26x+6=4\begin{array}{lr} \text { Step } 1 & 9 x-3-15 x+9=4 \\ \text { Step } 2 & -6 x+6=4 \end{array}

Step 3 Step 4 Step 5 Step 6 Which property justifies Step 1? (F) Division Property of Equality (G) Suburaction Property of Equality (H) Commutative Property (I) Distributive Property

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Problem 10413

Exercice2 Soit ( unu_{n} ) la suite définie par u0=4u_{0}=4 et un+1=0,95un+0,5u_{n+1}=0,95 u_{n}+0,5
1. Exprimer unu_{n} en fonction den
2. En déduire sa limfie.

Exercige 3

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Problem 10414

Quanto Griffin HW Units 9.2 Question 9, 9.2.29 HW Score: 27\%, 5.4 of 20 points Points: 0 of 1 Save list
Use the horizontal line test to determine whether the function is one-to-one. f(x)=8x25f(x)=\frac{8}{x^{2}-5}
Is the function one-to-one? Yes No [10,10,10,10]XXcl=1Yscl=1\begin{array}{l} {[-10,10,-10,10] X \mathrm{Xcl}=1} \\ \mathrm{Yscl}=1 \end{array}

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Problem 10415

Determine the base function using easy methods for the exponential growth function:
y=104100(1.02)(x1960) y = 104100(1.02)^{(x-1960)}

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Problem 10416

6 Gegeben sind die Funktionen ff und gg mit f(x)=exf(x)=e^{x} und g(x)=exg(x)=e^{-x} und die Punkte A(1f(1))A(1 \mid f(1)) und B(1g(1)\mathrm{B}(1 \mid \mathrm{g}(1) ). a) Zeigen Sie, dass sich die beiden Graphen orthogonal schneiden. b) Bestimmen Sie die Gleichungen der Tangenten an die jeweiligen Graphen in den Punkten A und B. Unter welchem Winkel schneiden sich die Tangenten? c) Bestimmen Sie den Schnittwinkel der Tangente an den Graphen von fim Punkt A(u|f(u)) mit der Tangente an den Graphen von g im Punkt B(ug(u))\mathrm{B}(\mathrm{u} \mid \mathrm{g}(\mathrm{u})).

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Problem 10417

Points: 0 of 1
The table below includes data from taxi rides. The distances are in miles, the times are in minutes, the fares are in dollars, and the tips are in dollars. Is there sufficient evidence to conclude that there is a linear correlation between the time of the ride and the tip amount? Construct a scatterplot, find the value of the linear correlation coefficient rr, and find the PP-value of rr. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Use a significance level of α=0.01\alpha=0.01. Does it appear that riders base their tips on the time of the ride?
Click here for information on the taxi rides.
Construct a scatterplot. Choose the correct graph A.
Determine the linear correlation coefficient. The linear correlation coefficient is r=\mathrm{r}= \square (Round to three decimal places as needed.)
Taxi data \begin{tabular}{|lllllllllll|} \hline Distance & 0.67 & 2.51 & 8.48 & 12.73 & 1.65 & 1.02 & 1.32 & 0.49 & - \\ \hline Time & 6.00 & 18.00 & 31.00 & 27.00 & 11.00 & 8.00 & 8.00 & 2.00 & \\ Fare & 6.30 & 14.30 & 31.78 & 36.80 & 9.80 & 7.80 & 7.80 & 4.80 \\ Tip & 1.89 & 4.29 & 2.98 & 0.00 & 1.96 & 2.34 & 0.00 & 0.00 \\ \hline \end{tabular} Print Done

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Problem 10418

Q1: A pair of dice was rolled. The random variable XX represent the sum of the numbers on the two dice. What is the probability mass function? What is the cumulative mass function? Draw the probability mass function and the cumulative mass function. What is the probability of getting an even sum? What is the probability that for a single roll of the two dice, the sum of the dots is equal to 11 ? What is the probability of obtaining a sum of 6 or less?

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Problem 10419

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The owner of a football team claims that the average attendance at games is over 523 , and he is therefore justifled in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. A. There is sufficient evidence to support the claim that the mean attendance is greater than 523 B. There is not sufficient evidence to support the claim that the mean attendance is greater than 523 C. There is sufficient evidence to support the claim that the mean attendance is less than 523 D. There is not sufficient evidence to support the claim that the mean attendance is less than 523 .

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Problem 10420

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. Carter Motor Company claims that its new sedan, the Libra, will average better than 32 miles per gallon in the city. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms. A. There is not sufficient evidence to support the claim that the mean is less than 32 miles per gallon. B. There is not sufficient evidence to support the claim that the mean is greater than 32 miles per gallon C. There is sufficient evidence to support the claim that the mean is less than 32 miles per gallon D. There is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.

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Problem 10421

Identify the degree of the terms and the degree of the polynomial. 2ab98a7+8b262 a b^{9}-8 a^{7}+8 b^{2}-6
What is the degree of the first term, 2ab92 a b^{9} ? \square

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Problem 10422

A data set includes weights (in grams) of 32 Reese's Peanut Butter Cup Miniatures. The accompanying Statdisk display shows results from using all 32 weights to test the claim that the sample is from a population with a mean equal to 8.953 g . Test the given claim by using the display provided from Statdisk. Use a 0.01 significance level.
Click the icon to view the Statdisk display.
Identify the null and alternative hypotheses. H0\mathrm{H}_{0} : \square \square \square H1\mathrm{H}_{1} \square (Type integers or decimals. Do not round.)
Statdisk Display Cancel ``` t Test Test Statistic, t -3.79818 Criticalt: }\pm2.7440 P-value: 0.00064 ``` Print Done

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Problem 10423

4. Определите, какие из следующих квадратичных форм являются положительно либо отрицательно определенными, а какие нет. а) (ЕД 4.221) 12x1x212x1x3+6x2x311x126x226x3212 x_{1} x_{2}-12 x_{1} x_{3}+6 x_{2} x_{3}-11 x_{1}^{2}-6 x_{2}^{2}-6 x_{3}^{2}; б) (ЕД 4.222) 9x12+6x22+6x33+12x1x210x1x32x2x39 x_{1}^{2}+6 x_{2}^{2}+6 x_{3}^{3}+12 x_{1} x_{2}-10 x_{1} x_{3}-2 x_{2} x_{3}; в) (ЕД 4.223) 2x42+x1x2+x1x32x2x3+2x2x42 x_{4}^{2}+x_{1} x_{2}+x_{1} x_{3}-2 x_{2} x_{3}+2 x_{2} x_{4}; г) (( ЕД 4.224)x12+4x22+4x32+8x42+8x2x4) x_{1}^{2}+4 x_{2}^{2}+4 x_{3}^{2}+8 x_{4}^{2}+8 x_{2} x_{4}.

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Problem 10424

Identify the ONE FALSE statement regarding the electrochemical cell Co( s)CoSO4(1.00M)Fe(NO3)3(1.00M),Fe(NO3)2(1.00M)Pt( s)\mathrm{Co}(\mathrm{~s})\left|\mathrm{CoSO}_{4}(1.00 \mathrm{M}) \| \mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{3}(1.00 \mathrm{M}), \mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{2}(1.00 \mathrm{M})\right| \mathrm{Pt}(\mathrm{~s}) for which Ecell =+1.05 V\mathrm{E}_{\text {cell }}=+1.05 \mathrm{~V}. The cell contains a KCl salt bridge. Increasing the concentration of CoSO4(aq)\mathrm{CoSO}_{4}(\mathrm{aq}) reduces the cell potential. K+\mathrm{K}^{+}ions from the salt bridge migrate to the cathode. Pt(s)\mathrm{Pt}(\mathrm{s}) is the cathode. Fe3+\mathrm{Fe}^{3+} ions migrate toward the Pt(s)\mathrm{Pt}(\mathrm{s}) electrode. The Co2+\mathrm{Co}^{2+} concentration decreases during operation of the cell.

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Problem 10425

14. How are the terms difference, sum, quotient, and product alike?

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Problem 10426

1. Let an=n216n+10a_{n}=n^{2}-16 n+10 where nNn \in \mathbb{N}. What is the smallest n0Nn_{0} \in \mathbb{N} such that ana_{n} is increasing for all nn0n \geqslant n_{0} ?

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Problem 10427

more than 30 minutes, the accompanying Excel display Click the icon to view the Excel display.
Identify the null and alternative hypotheses. H0\mathrm{H}_{0} \square \square \square H1H_{1} \square (Type integers or decimals. Do not round.)

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Problem 10428

1 45÷245÷3\frac{4}{5} \div 2 \quad \frac{4}{5} \div 3 a) Write two things that are the same about the calculations. \qquad \qquad \qquad

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Problem 10429

An animal sanctuary houses a variety of animals. To understand the workload of the sanctuary's veterinarians, the director looked at which types of animals are treated or not treated by various doctors. The Venn diagram shows this information for three of the doctors. (a) Select all the doctors who treat goats. Dr. Garcia Dr. Bryant Dr. Patterson (b) How many types of animals are treated by Dr. Garcia or Dr. Bryant (or both)? \square (c) Which types of animals are treated only by one of the three doctors (Dr. Garcia, Dr. Bryant, or Dr. Patterson)? Choose all that apply.
Cats ! Elks Goats Horses Koalas Llamas Mice otters Pigs Quails Rabbits Snakes Zebras

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Problem 10430

A data set includes wait times (minutes) for the Tower of Terror ride at Walt Disney World's Hollywood Studios theme park at 5:00 PM. Using 35 of the times to test the claim that the mean of all such wait times is more than 30 minutes, the accompanying Excel display is obtained. Test the given claim by using the display provided from Excel. Use a 0.05 significance level.
Click the icon to view the Excel display.
Identify the null and alternative hypotheses. H0:μ=30H_{0}: \mu=30 H1:μ>30H_{1}: \mu>30 (Type integers or decimals. Do not round.) Identify the test statistic. 1.02 (Round to two decimal places as needed.) Identify the P -value. 0.157 (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. \square the null hypothesis. There \square sufficient evidence at the 0.05 significance level to \square the claim that the population mean of all wait times for the Tower of Terror ride at 5:00 PM is more than 30 minutes.

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Problem 10431

Classification of variables and levels of measurement each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible. \begin{tabular}{|l|l|l|l|l|} \hline \multicolumn{1}{|c|}{ Variable } & \multicolumn{1}{c|}{\begin{tabular}{c} Type of \\ variable \end{tabular}} & \multicolumn{1}{c|}{\begin{tabular}{|l|l|l|} Level of \\ measurement \end{tabular}} \\ \hline (a) Temperature (in degrees Fahrenheit) \end{tabular}

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Problem 10432

Which of the following are true?
1. If velocity is constant and positive, then distance traveled during a time interval is the velocity multiplied by the length of the interval.
2. If velocity is positive and increasing, using the velocity at the beginning of each subinterval in a rectangle sum gives an overestimate of the distance traveled. Just 2 Both 1 and 2 Just 1 Neither 1 or 2 Clear my selection

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Problem 10433

You may need to use the appropriate appendix table or technology to answer this question. 16.54 hours. students is approximately normal. (Round your answer to nearest percent.)
READ AND COMPLETE THE FOLLOWING STATEMENT. If the distribution of volunteer times is approximately normal and we assume the sample mean of xˉ=14.76\bar{x}=14.76 hours, and standard deviation of s=16.54s=16.54 hours are good approximations to the population mean and standard deviation, we would expect that approximately 95 \qquad %\% of volunteer times would be negative. Therefore, it is \square reasonable to think that the distribution of volunteer times is approximately normal. estimate the population mean even though the population distribution is not approximately normal. (Select all that apply.)
It is reasonable to use a one-sample tt confidence interval to estimate the population mean since the sample size is at least 30 . It is reasonable to use a one-sample tt confidence interval to estimate the population mean since the sample is representative of the population. It is reasonable to use a one-sample tt confidence interval to estimate the population mean since the statistics came from a paper. It is reasonable to use a one-sample tt confidence interval to estimate the population mean since all of the middle school children in South Korea were surveyed. It is reasonable to use a one-sample tt confidence interval to estimate the population mean since the sample size is at most 30 . \square ) hrs

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Problem 10434

Consider the following system at equilibrium: D(aq)+E(aq)2 F(aq)\mathrm{D}(\mathrm{aq})+\mathrm{E}(\mathrm{aq}) \rightleftharpoons 2 \mathrm{~F}(\mathrm{aq})
Classify each of the following actions by whether it causes a leftward shift, a rightward shift, or no shift in the direction of the net re Drag the appropriate items to their respective bins.
View Available Hint(s) Reset Help
Triple [D] and reduce [E] to one third
Decrease [E] Increase Triple both [E][E] and [F][F]
Increase [F] Inc出ase [D] Decrease [D] Decrease [F]
Leftward shift Rightward shift No shift

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Problem 10435

Review I Constants I Period
Consider the following system at equilibrium: D(aq)+E(aq)2 F(aq)\mathrm{D}(\mathrm{aq})+\mathrm{E}(\mathrm{aq}) \rightleftharpoons 2 \mathrm{~F}(\mathrm{aq})
Classify each of the following actions by whether it causes a leftward shift, a rightward shift, or no shift in the direction of the net reaction. Drag the appropriate items to their respective bins. View Available Hint(s) Reset Help
Triple [D] and reduce [E] to one third
Decrease [E] Increase [E] Triple both [E][E] and [F][F]
Increase [F] Increase [D] Decrease [D] Decrease [F]
Leftward shift Rightward shift No shift

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Problem 10436

For a certain chemical reaction, ΔH=156 kJ\Delta H^{\circ}=-156 \mathrm{~kJ}. Assuming the reaction is at equilibrium, classify each of the following actions by whether it causes a leftward shift, a rightward shift, or no shift in the direction of the net reaction. Drag the appropriate items to their respective bins. View Available Hint(s) Reset Help
Decrease the temperature Increase the temperature
Leftward shift Rightward shift No shift

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Problem 10437

Determine whether the number described is a statistic or a parameter. The average ACT score of all testers from a local high school is 23. Parameter Statistic

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Problem 10438

1\checkmark 1 2 3 4 5 6 7 8 9
Determine whether the data described are discrete or continuous. The velocity of a pitched baseball. Discrete Continuous

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Problem 10439

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

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Problem 10440

Find the domain of the function. f(x)=ln(x+3)f(x)=\ln (x+3)
The domain of f is \square . (Type your answer in interval notation.)

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Problem 10441

Consider the distribution of the numbers of the ages of patrons who visit an amusement park. Complete parts (a) through (d) below. D. There would probably be no peaks. People of all ages are equally likely to visit an amusement park and the distribution would be uniform. b. Make a sketch of the distribution. Choose the correct answer below. A. B. C. D. c. Would you expect the distribution to be symmetric, left-skewed, or right-skewed? Explain. A. The distribution would probably be right-skewed because there is a clear minimum age but no obvious maximum age for people who visit an amusement park. B. The distribution would probably be symmetric because there are no obvious factors to indicate that any particular age group is more likely to visit an amusement park. C. The distribution would probably be left-skewed because there is a clear maximum age but no obvious minimum age for people who visit an amusement park. D. The distribution would probably be symmetric because there are four distinct age groups that visit amusement parks. d. Would you expect the variationpf the distribution to be small, moderate, or large? Explain. A. The variation would probably be large because there are many amusement parks that people can visit, not just a single amusement park. B. The variation would probably be large because people of ages far from the mode also visit amusement parks. C. The variation would probably be moderate because there are no obvious factors that would make it small or large. D. The variation would probably be small because most people who visit amusement parks are about the same age.

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Problem 10442

Question 2 1 pts
Jane is working on classifying the critical point aR4\boldsymbol{a} \in \mathbb{R}^{4} of a C3C^{3} function f:R4Rf: \mathbb{R}^{4} \rightarrow \mathbb{R} using its Hessian matrix. The Hessian matrix is given by Hf(a)=[2000030000000007]H f(a)=\left[\begin{array}{cccc} 2 & 0 & 0 & 0 \\ 0 & -3 & 0 & 0 \\ 0 & 0 & 0 & 0 \\ 0 & 0 & 0 & 7 \end{array}\right]
What can she conclude by the second derivative test? The critical point is a local maximum. The critical point is a local minimum. The critical point is a saddle point. None of the above. The second derivative test is inconclusive.

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Problem 10443

Consider the following hypothesis, H0:μ=7, S=5,Xˉ=5,n=46Ha:μ7\begin{array}{l} H_{0}: \mu=7, \quad \mathrm{~S}=5, \quad \bar{X}=5, \quad n=46 \\ H_{a}: \mu \neq 7 \end{array}

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Problem 10444

and after the diesel exhaust exposure. The resulting data are given in the accompanying table. For purposes of this exercise, assume that the sample of 10 men is representative of healthy adult males. \begin{tabular}{|c|c|c|c|c|} \hline \multirow[t]{2}{*}{Subject} & \multicolumn{4}{|c|}{MPF (in Hz)} \\ \hline & Location 1 before & Location 1 after & Location 2 before & Location 2 after \\ \hline 1 & 6.4 & 8.0 & 6.8 & 9.4 \\ \hline 2 & 8.6 & 12.7 & 9.5 & 11.2 \\ \hline 3 & 7.4 & 8.4 & 6.6 & 10.2 \\ \hline 4 & 8.6 & 9.0 & 9.0 & 9.7 \\ \hline 5 & 9.9 & 8.4 & 9.6 & 9.2 \\ \hline 6 & 8.8 & 11.0 & 9.0 & 11.8 \\ \hline 7 & 9.1 & 14.4 & 7.8 & 9.3 \\ \hline 8 & 7.4 & 11.1 & 8.1 & 9.1 \\ \hline 9 & 6.7 & 7.3 & 7.2 & 8.0 \\ \hline 10 & 8.8 & 11.2 & 7.4 & 9.3 \\ \hline \end{tabular}
Use a table or technology. Round your answers to two decimal places.) ( \square , \square ) Hz

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Problem 10445

8. What does it mean when someone states, "She gave it 110\%"? How can this comment be explained using math? Is it possible to give 110%110 \% ? Explain.

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Problem 10446

Graph the function and determine the xx-irtercept y=2log(x+5)3y=-2 \log (x+5)-3 (0,4398)(0,4398) (5,0)(-5,0) (4.968,0)(-4.968,0) No x-intercept

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Problem 10447

ven this expression to simplify. (x+1)3(x+3)(x+1)-3(x+3) steps in simplifying: (2)(1)+3(x)+(3)(3)+3x+9\begin{array}{l} (-2)(1)+-3(x)+(-3)(3) \\ +-3 x+-9 \end{array}
Which statements are true about the steps An used? Check all that apply. In step 1, she distributed -2 through the parentheses. In step 1, she distributed 3 through the parentheses. thystep 2, she added the factor to the value the parentheses.

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Problem 10448

1. Describe the energy transformations occurring in each of the following situations: \square (a) A ball falls from the top of a building. (b) An archer pulls a bow back and releases the arrow. (c) A firework explodes. (d) An incandescent light bulb comes on. (e) A gasoline lawnmower cuts the lawn.

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Problem 10449

A study is done on the number of bacteria cells in a petri dish. Suppose that the population size P(t)P(t) after tt hours is given by the following exponential function. P(t)=2500(0.82)tP(t)=2500(0.82)^{t}
Find the initial population size. 25002500
Does the function represent growth or decay? growth decay By what percent does the population size change each hour? \square \% Explanation Check

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Problem 10450

2 Epidemiologie 15P.
In einer Studie soll die Aussagekraft eines neuen Testverfahrens zur Diagnose des MammaCa untersucht werden. (fiktive Studie) 2.1 Ordnen Sie die Daten aus der vorliegenden Studie einer Vier-Felder-Tafel zu und beurteilen Sie anschließend, auf Grundlage epidemiologischer Berechnungen (Sensitivität + Spezifität), den praktischen Nutzen dieses Testverfahrens (M4, M5). (15P) aa+c\frac{a}{a+c} dd+b\frac{d}{d+b} 278
Material 44 \quad Studie zum Nachweis eines MammaCa In einer Studie soll die Aussagekraft eines neuen Schnellitests für den Nachweis eines Mammakarzinoms untersucht werden. Hierzu wird ein Kontrolltest/Referenztest mit einer 100\%igen Sensitivität und Spezifität genutzt, um die Aussagekraft des neuè Testverfahrens zu prüfen. In einer Untersuchung wurde bei insgesamt 600 Personen das neue Schnelltestverfahren für Mammakarzinom durchgeführt und anschließend der Kontrolltest/Referenztest vorgenommen. Dabei ergab sich, dass bei 200 Personen beide "Tests" positiv ausfielen und bei 213 Personen beide "Tests". negativ ausfielen. Insgesamt viel bei 299 Personen der Kontrolltest/Referenztest positiv aus.
Material 5 Vierfeldertafel

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Problem 10451

This question: 1 point(s) possidle
Find the zeros for the polynomial function and give the multiplicity for each zero. State whether the graph crosses the x -axis or touches the x -axis and turns around at each zero f(x)=3(x6)(x+1)3f(x)=3(x-6)(x+1)^{3}
Determine the zero(s). The zero(s) is/are \square (Type integers or decimals. Use a comma to separate answers as needed.) Determine the multiplicities of the zero(s). Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. There are two zeros. The multiplicity of the largest zero is \square . The multiplicity of the smallest zero is \square . (Simplify your answers.) B. There are three zeros. The multiplicity of the largest zero is \square . The multiplicity of the smallest zero is \square . The multiplicity of the other zero is \square . (Simplify your answers.) C. There is one zero. The multiplicity of the zero is \square . (Simplify your answer.) Determine the behavior of the function at each zero. Select the correct choice below and, if necessary, fill in the answer boxes within your choice. A. The graph touches the xx-axis and turns around at all zeros. B. The graph crosses the xx-axis at all zeros. C. The graph crosses the xx-axis at x=x= \square and touches the xx-axis and turns around at x=x= \square I. (Simplify your answers. Type integers or decimals. Use a comma to separate answers as needed.)

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Problem 10452

Exercise 2: Streaming Services A movie streaming service provides one account per household, but multiple people in the same household can use the account to watch their favorite shows.
Question: Is the relation between households and streaming accounts a function? Why or why not?

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Problem 10453

If two angles are supplementary, then one of the angles must be obtuse. Which image provides a counterexample to this statement? A. B. C. D.

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Problem 10454

(F(x)=ln(4x2)x)\left(F(x)=\frac{\ln \left(4 x^{2}\right)}{x}\right)

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Problem 10455

5. DETAILS
MY NOTES OSCOLALG1 6.2.094.
Graph the transformation of f(x)=6xf(x)=6^{x}. h(x)=6xh(x)=6^{-x}

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Problem 10456

4. This graph shows the recommended maximum heart rate of a person, RR beats per minute, as a function of her or his age, a years, for a stress test. a. Why are there no intercepts on this graph? [1 mark total] b. What is the rate of change? What does it represent? [2 marks total] c. At what age is the recommended maximum heart rate 120 beats /min/ \mathrm{min} ? [1 mark total] d. What is the approximate recommended maximum heart rate for a person aged 70? [1 mark total]

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Problem 10457

How many significant figures are in "60" from the conversion 60 min=160 \mathrm{~min}=1 hour?

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Problem 10458

What is the chemical symbol for the ion with electron configuration [He]2 s22p6[\mathrm{He}] 2 \mathrm{~s}^{2} 2 \mathrm{p}^{6}?

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Problem 10459

What is the conversion factor to change 24 inches into feet?

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Problem 10460

Find the degree of the polynomial 8y7y3+8+2y6-8 y^{7}-y^{3}+8+2 y^{6}.

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Problem 10461

How many significant figures are in "60" in the conversion 60 min=160 \mathrm{~min}=1 hour? Options: 0, 1, 2, infinite.

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Problem 10462

Find the leading coefficient of the polynomial 8y7y3+8+2y6-8 y^{7}-y^{3}+8+2 y^{6}.

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Problem 10463

Let UU be all universities in a country and AA those with over 5000 students. Describe AA^{\prime}.
Choose the correct answer: A. All universities B. Universities with 5000 or fewer students C. Universities not in the country with over 5000 students D. Universities in the country

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Problem 10464

Find the five-number summary (Min, Q1, Med, Q3, Max) from this stem & leaf plot: 1|38, 2|256, 3|25, 4|4899, 5|04467, 6103.

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Problem 10465

Classify the expression 4y3212x-4 y^{\frac{3}{2}}-12 x as a polynomial or non-polynomial.

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Problem 10466

Find which point among A. (9,65)(-9,-65), B. (1,7)(-1,7), C. (0,8)(0,8), D. (2,12)(-2,12), E. (7,17)(7,17) lies on the line through (3,13)(-3,13) and (3,5)(3,-5).

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Problem 10467

Find the 39th percentile of the sorted data set with n=117n=117. Calculate it as P39=P_{39}=.

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Problem 10468

Find the 64th percentile of a sorted data set with n=117n=117. Calculate P64=P_{64}=

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Problem 10469

Find where to place the missing value of 6 on a seesaw graph, given total distances below and above the mean are 5 and 7, respectively.

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Problem 10470

Solve the compound inequality 41<4n131-41 < 4n - 1 \leq 31 and graph the solution set.

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Problem 10471

Find the 54th percentile, P54P_{54}, from the data set: 3, 5, 7, 8, 9, 15, 16, 17, 20, 22, 25, 29, 30, 39, 41, 45, 49, 52, 53, 54, 55, 58, 60, 62, 71, 73, 74, 77, 78, 79, 82, 91, 94, 95, 98, 100. Calculate P54P_{54}.

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Problem 10472

Graph the solution for the inequality x5x \geq 5.

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Problem 10473

Find the third quartile for the scores: 90,85,100,50,45,70,60,4090, 85, 100, 50, 45, 70, 60, 40.

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Problem 10474

Solve the inequality 6z26.4<22+5z6z - 26.4 < -22 + 5z and graph the solution set.

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Problem 10475

In the data set 20,35,40,41,4420,35,40,41,44, is 40 the median, 1st quartile, 50th percentile, or 2nd quartile?

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Problem 10476

Solve the inequality 6x13.2<11+5x6x - 13.2 < -11 + 5x and graph the solution set.

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Problem 10477

Find the 50th percentile of the data set: 10,20,30,40,50,6010, 20, 30, 40, 50, 60. Options: 30.5, 30, 40, 35.

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Problem 10478

Solve the inequality m+6+1122|m+6|+11 \leq 22 and select the correct solution set format.

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Problem 10479

Find the first, second, and third quartiles for the data set: 10,15,20,25,30,35,40,45,5010, 15, 20, 25, 30, 35, 40, 45, 50.

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Problem 10480

Find the 50th percentile of the data set: 10,20,30,40,50,6010, 20, 30, 40, 50, 60. Options are 30.5, 30, 35, or 40.

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Problem 10481

Solve the inequality 3z1>z+9|3z - 1| > z + 9 and graph the solution set.

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Problem 10482

Find the first quartile for the scores 90,85,100,50,45,70,60,4090, 85, 100, 50, 45, 70, 60, 40. Options: 47.5, 50, 45, 40.

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Problem 10483

Solve the inequality 3z1>z+9|3z - 1| > z + 9 and graph the solution set.

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Problem 10484

Is C4H8\mathrm{C}_{4} \mathrm{H}_{8} an alkane? Answer yes or no.

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Problem 10485

Find the variance, standard deviation, and zz-score of 15 for the data set: 4,7,2,7,9,10,154,7,2,7,9,10,15. Round to one decimal place.

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Problem 10486

Is SrCO3\mathrm{SrCO}_{3} organic or inorganic?

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Problem 10487

List six items made of organic compounds from these options: vegetables, strawberry, bronze, wood, family dog, chalk, washing soda, plastic pipe, sugar, limestone.

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Problem 10488

Identify the general products of a combustion reaction from these options:
1. C(s),H2O,O2C(s), H_2O, O_2
2. CO2,H2CO_2, H_2
3. CO2,H2OCO_2, H_2O
4. C(s),O2,H2C(s), O_2, H_2

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Problem 10489

Is vector bb a linear combination of a1,a2,a3a_{1}, a_{2}, a_{3}? Choose A, B, C, or D based on the echelon matrix pivots.

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Problem 10490

Describe the Span {v1,v2}\{\mathbf{v}_{1}, \mathbf{v}_{2}\} for v1=[4102]\mathbf{v}_{1}=\begin{bmatrix}4 \\ 10 \\ -2\end{bmatrix} and v2=[10255]\mathbf{v}_{2}=\begin{bmatrix}10 \\ 25 \\ -5\end{bmatrix}. Choose A, B, C, or D.

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Problem 10491

A gas station attendant tracks 18 customers' gasoline choices. What are the probabilities for each grade?

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Problem 10492

Determine if each relation is a function and state the domain and range for each set of pairs.

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Problem 10493

A scientist measures 90.7 kg90.7 \mathrm{~kg}, while the true value is 60.0 kg60.0 \mathrm{~kg}. Find the absolute and relative error.

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Problem 10494

Find the domain and range of the sets {(1,4),(1,5),(1,6)}\{(1,4),(1,5),(1,6)\} and {(4,1),(5,1),(6,1)}\{(4,1),(5,1),(6,1)\}. Are they functions?

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Problem 10495

Determine if each equation defines y as a function of xx: 11. x+y=16x+y=16, 12. x+y=25x+y=25, 13. x2+y=16x^{2}+y=16, 14. x2+y=25x^{2}+y=25, 15. x2+y2=16x^{2}+y^{2}=16, 16. x2+y2=25x^{2}+y^{2}=25, 17. x=y2x=y^{2}, 18. 4x=y24 x=y^{2}.

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Problem 10496

Find the increase in Chicago's African American population from 44,103 to 233,903 between 1910 and 1930. Calculate the rate of change.

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Problem 10497

Is the vector u=[7108]u=\begin{bmatrix}-7 \\ 10 \\ 8\end{bmatrix} in the plane spanned by the columns of A=[245722]A=\begin{bmatrix}2 & -4 \\ -5 & 7 \\ 2 & 2\end{bmatrix}? Explain.

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Problem 10498

Graph the solution set for the compound inequality: 228<y+74<298 \frac{22}{8}<\frac{y+7}{4}<\frac{29}{8} .

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Problem 10499

Find the intersection of sets A and C: ACA \cap C. Choose A. AC=A \cap C = (list elements) or B. ACA \cap C is empty.

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Problem 10500

Is the vector u=[748]u=\begin{bmatrix}7 \\ 4 \\ 8\end{bmatrix} in the plane spanned by the columns of A=[422622]A=\begin{bmatrix}4 & -2 \\ -2 & 6 \\ 2 & 2\end{bmatrix}? Explain.

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