Analyze

Problem 1101

secθsinθtanθ+cotθ=sin2θ\frac{\sec \theta \sin \theta}{\tan \theta+\cot \theta}=\sin ^{2} \theta

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Problem 1102

c. Using the table, find a number a such that the remainder of the division f(x)xa\frac{f(x)}{x-a} is equal to 4. Show or explain how you get your answer. \begin{tabular}{|c|c|} \hlinexx & f(x)f(x) \\ \hline-4 & -11 \\ \hline-3 & 8 \\ \hline-2 & 13 \\ \hline-1 & 10 \\ \hline 0 & 5 \\ \hline 1 & 4 \\ \hline 2 & 13 \\ \hline 3 & 38 \\ \hline 4 & 85 \\ \hline \end{tabular}

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Problem 1103

Question 1 - of 5 Step 1 of 2
Consider the following function. n(x)=x44n(x)=\sqrt{x-4}-4
Step 1 of 2: Determine the more basic function that has been shifted, reflected, stretched, or compressed.
Answer 2 Points f(x)=f(x)=\square

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Problem 1104

B) Si considerino le funzioni: f(x)=x1f(x)=x-1 e g(x)=x3g(x)=x^{3}
Si determinino fg\boldsymbol{f} \circ \boldsymbol{g} e gf\boldsymbol{g} \circ f (1 punto) x2x^{2} Si giustifichi perchè sono invertibili e si determini l'espressione analitica delle inverse (1 punto) -Si verifichi che risulta (fg)1=(g)1(1(\boldsymbol{f} \circ g)^{-1}=(\boldsymbol{g} \circ)^{-1}(1 punto ))

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Problem 1105

3. For the quadratic function f(x)=a=14b=0c=218(x1)2+3, what is the focal length c ? What is f(x)=\begin{array}{c}a=\frac{1}{4} \quad b=0 \quad c=2 \\ -\frac{1}{8}(x-1)^{2}+3 \text {, what is the focal length } c^{\prime} \text { ? What is }\end{array} the focal point? What is the equation of the directrix?

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Problem 1106

6 Which three points are in the solution set of x+y1-x+y \leq 1 F(4,3)F(-4,-3) G (1,1)(-1,1) H(2,3)H(2,3) J (4,2)(4,2) K (3,1)(-3,-1)

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Problem 1107

7 The graph of 3x+5y=15-3 x+5 y=-15 is shown. Which points are in the solution set of (Select two correct answers.) 3x+5y15-3 x+5 y \geq-15
A (1,7)(-1,-7) B (1,3)(1,-3) C (6,1)(6,-1) D (0,3)(0,-3) E (0,0)(0,0)

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Problem 1108

25 Dans chaque cas, ff est une fonction définie et dérivable sur un intervalle I de courbe représentative CfC_{f} dans un repère. Déterminer une équation de la tangente T à CfC_{f} au point d'abscisse aa.
1. f(x)=x3f(x)=x^{3} et a=2a=-2
3. f(x)=xf(x)=\sqrt{x} et a=2a=2
2. f(x)=1xf(x)=\frac{1}{x} et a=1a=-1

Pour les exercices 26 à 30 Soit ff une fonction définie sur un ensemble I . Préciser son ensemble de dérivabilité Df\mathrm{D}_{f^{\prime}} et déterminer sa dérivée ff^{\prime}.
26 1. f(x)=x3+x2;I=Rf(x)=x^{3}+x^{2} ; \mathrm{I}=\mathbb{R}
2. f(x)=x3x2x1;I=Rf(x)=x^{3}-x^{2}-x-1 ; I=\mathbb{R}
3. f(x)=x+x;I=[0;+[f(x)=\sqrt{x}+x ; \mathrm{I}=[0 ;+\infty[
4. f(x)=x21x;I=Rf(x)=x^{2}-\frac{1}{x} ; I=\mathbb{R}^{*}
27. 1. f(x)=3x24x+3;I=Rf(x)=3 x^{2}-4 x+3 ; \mathrm{I}=\mathbb{R}
2. f(x)=4x4+3x32x2+x;I=Rf(x)=-4 x^{4}+3 x^{3}-2 x^{2}+x ; \mathrm{I}=\mathbb{R}
3. f(x)=x32x2+3x4;I=Rf(x)=x^{3}-2 x^{2}+3 x-4 ; I=\mathbb{R}

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Problem 1109

1. List all of the possible rational zeros of each function. (2 Points) h(x)=x35x2+2x+12h(x)=x^{3}-5 x^{2}+2 x+12 ±1,±2,±3,±4,±6,±12\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 12
±1,±2,±3,±4\pm 1, \pm 2, \pm 3, \pm 4 1,2,3,4,6,121,2,3,4,6,12 1,2,3,4,6,12-1,-2,-3,-4,-6,-12

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Problem 1110

\begin{tabular}{|c|c|c|c|c|} \hline |سبر اغلاق سه بن بن فلسين & |التوزيعات & \begin{tabular}{l} سعر اغالاق سهم الاتصالات \\ الفلسطينية \end{tabular} & |التوزيعات & |سعر اغلاق مؤنر القس \\ \hline 1.74 & & 2.11 & & 100 \\ \hline 1.78 & 0.05 & 2.25 & 0.05 & 110 \\ \hline 1.82 & 0.07 & 2.15 & 0.06 & 115 \\ \hline 1.85 & 0.085 & 2.20 & 0.045 & 120 \\ \hline 1.95 & 0.10 & 2.45 & 0.05 & 125 \\ \hline 2 & 0.11 & 2.55 & 0.07 & 130 \\ \hline 2.15 & 0.12 & 2.60 & 0.10 & 135 \\ \hline 2.25 & 0.125 & 2.70 & 0.12 & 140 \\ \hline \end{tabular}
المطلوب: 1-حساب العائد للاسهم 2-حساب المخاطرة باستخدام الانحراف المعياري ومعامل ألاختلاف 3-حساب بيتا السهم اذا بلغ الارتباط بين سهم بنك فلسطين 1 ومحفظة السوق والاريتباط بين سهم شركة الاتصالات ومحفظة السوق (0.85-) 4- اتخاذ القرار باي الاسهم ستختار للاستثمار

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Problem 1111

Consider the function f(x)=2x2+12x10f(x)=-2 x^{2}+12 x-10. The yy-intercept of f(x)f(x) is (0,A)(0, A), where A=10A=-10
The xx-intercepts of f(x)f(x) are (B,0)(B, 0) and (C,0)(C, 0), where B=1B=1 and C=C= 1 .
Lastly, the axis of symmetry of f(x)f(x) is x=Dx=D, where D=D= \square Note: Your answers should be integers.

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Problem 1112

السيؤال الثالث: اذا توفرت لكم المعلومات التالية عن سهمين كما يلي \begin{tabular}{|c|c|c|c|} \hline عائد شركة ترست العاملمية للتامين & |عائد شركة بيرزيت & |الاحتمال & |الحالة الاقتصادية \\ \hline 2500 & 3500 & 15\% & |الاسوا \\ \hline 3000 & 2500 & 25\% & الحد الادنى \\ \hline 4200 & 4000 & 20\% & الحد الثالث \\ \hline 4000 & 4200 & 15\% & الحد الرابع \\ \hline 4500 & 4700 & 25\% & |الحد الخامس \\ \hline \end{tabular}
المطلوب حساب العائد والمخاطرة باستخدام الاساليب المناسبة واي الشركة ستقوم بالاستثمار فيها.

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Problem 1113

Car AA is traveling westat 80 km/h80 \mathrm{~km} / \mathrm{h} and car B is traveling north at 100 km/h100 \mathrm{~km} / \mathrm{h}. Both are headed for the intersection of the roads. At what rate are the cars approaching each other when car AA is 0.3 km and car B is 0.4 km from the intersection? Solution: Animation: Figure 3.9.004.

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Problem 1114

Submit answer Get help Practice similar
Find a quadratic model for the given data. (Round all numerical values to three decimal places.) p(x)=0.030x2+21.147x490.843 tens of thousands of dollars > gives p(x)=-0.030 x^{2}+21.147 x-490.843 \quad \text { tens of thousands of dollars }>\text { gives } the profit when â company produces x thousand units 5θx75.5 \quad \theta_{\nabla} \leq x \leq 75 .
Using your calculator and the unrounded model, find the relative maximum of the function p(x)]p(x)]. State the maximum as a point with each coordinate rounded to 3 decimal places. You may need to adjust the Xmax in window and use ZoomFit to see the relative maximum.
Relative Maximum: \square \square ) c. Complete the sentence of interpretation for the relative maximum you found in Part b.
To maximize profit, the company should produce thousand units \square tens of thousands of dollars , which yields a profit of

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Problem 1115

The expression 5p5 p represents the total price of buying 5 movie tickets.
What do the parts of the expression 5p5 p represent?
The variable pp represents the ? \square .
The number 5 represents the ? \square \cdot

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Problem 1116

For the function f(x)=4x25f(x)=4 x^{2}-5, what is the focal point? What is the equation of the directrix?
Focal Point: \square [Select] [Select] \square )
Equation of the Directrix: \square [ Select] [ Select] \square

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Problem 1118

10 pts
The vertex form of the quadratic function f(x)=x26x+5f(x)=x^{2}-6 x+5 is f(x)=a(xh)2+kf(x)=a(x-h)^{2}+k. What is the value of aa ? \square 1
What is the value of hh ? \square 5-5
What is the value of kk ? \square 24-24

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Problem 1119

\begin{tabular}{|c|c|c|c|c|} \hline Cavim & Contre dectuse x1x_{1} & Ettrect ω1\omega_{1} & \begin{tabular}{l} ENoctil Cumule \\ * mation ω1()\omega_{1}(-) \end{tabular} & \\ \hline .5-161.5 & 160,5 & 7 & 7 & 307 \\ \hline 510,55-10,5 & 162.5 & 4 & 11 & 300 \\ \hline (5-155,5 & 164.5 & 10 & 21 & 296 \\ \hline - 5 - 167,5 & 265.5 & 23 & 44 & 286 \\ \hline s-169,5 & 1085 & 19 & H3 & 263 \\ \hline P- uxes & 17e2 & 00 & H2 & en \\ \hline 512035-1203 & (172 & 45 & 97 & 2es \\ \hline 5175,55-175,5 & 174,5 & 411 & 205 & 150 \\ \hline 5177,55-177,5 & 176,5 & 35 & 200 & 102 \\ \hline 5132.55-132.5 & 178,5 & 31 & 271 & 67 \\ \hline -181,5 & 180,5 & 16 & 287 & 96 \\ \hline 283,5-283,5 & 182,5 & 9 & 296 & 20 \\ \hline - 185,5 & 184,5 & 5 & 301 & 11 \\ \hline - 187.5 & 186,5 & 3 & 304 & 6 \\ \hline - 109.5 & 188.5 & 1 & 305 & 3 \\ \hline 202,5-202,5 & 100, 5 & 2 & 307 & 2 \\ \hline \multicolumn{5}{|l|}{EN=307} \\ \hline \end{tabular} 76,75dme76,75^{\mathrm{dme}} valeur ( 25%25 \% de 307): 170,5 cm170,5 \mathrm{~cm} 153,5ème valeur ( 50%50 \% de 307) : 172,5 cm172,5 \mathrm{~cm} 230,25eˋme 230,25^{\text {ème }} valeur ( 75%75 \% de 307 ) : 176,5 cm176,5 \mathrm{~cm}
Méthode d'interpolation : Tenir compte du rang recherche Q1=169,5+(307/4)6339×2=170,2 cmQ3=175,5+(307×34)20535×2=176,9 cm\begin{array}{l} Q_{1}=169,5+\frac{(307 / 4)-63}{39} \times 2=170,2 \mathrm{~cm} \\ Q_{3}=175,5+\frac{\left(307 \times \frac{3}{4}\right)-205}{35} \times 2=176,9 \mathrm{~cm} \end{array}
Possibilité de déterminer les quartiles graphiquement

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Problem 1120

Question 4 12 pts
The quadratic function y=14x27y=\frac{1}{4} x^{2}-7 has a vertex at (λ,λ)(\lambda, \lambda) and focal length of CC^{\prime}. What are the values for h,kh, k, and dd ? h=0k=6c=2\begin{array}{l} h=0 \\ k=-6 \\ c=2 \end{array}
The focal point for y=14z27y=\frac{1}{4} z^{2}-7 is at (0,p)(0, p). What is the value of pp ? p=(0,6)p=(0,-6) \square

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Problem 1121

12 pts
Consider the function g(x)=x2+14x+39g(x)=-x^{2}+14 x+39. g(x)g(x) has a discriminant of 352 \square . This means that g(x)g(x) will have 2 \square real roots. g(x)g(x) has a \square maximum when x=7x=7 since \square

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Problem 1122

Is the typical (mean) amount of yards gained different between AFC and NFC teams? A random sample of yards gained for 35 NFC teams and for another sample of 35 AFC teams was recorded.
Based on the scenario described, were independent samples design or dependent samples design used? independent dependent \begin{tabular}{|c|c|c|c|} \hline & Sample Mean & Std. Err. & P-Values \\ \hline AFC-NFC & 6.3 & 19.1 & 0.37,0.63,0.740.37,0.63,0.74 \\ \hline \end{tabular}
Use a significance level of 0.10 when conducting the test. - Select the appropriate hypotheses. Make sure the notation used in the hypotheses agrees with the type of samples selected. Ho:μ1=μ2Ho:μ1=μ2Ho:μd=0Ho:μ1=μ2Ho:μd=0Ho:μd=0Ha:μ1μ2Ha:μ1<μ2Ha:μd<0Ha:μ1>μ2Ha:μd>0Ha:μd0\begin{array}{l} H_{o}: \mu_{1}=\mu_{2} \quad H_{o}: \mu_{1}=\mu_{2} H_{o}: \mu_{d}=0 \quad H_{o}: \mu_{1}=\mu_{2} \quad H_{o}: \mu_{d}=0 \quad H_{o}: \mu_{d}=0 \\ H_{a}: \mu_{1} \neq \mu_{2} \quad H_{a}: \mu_{1}<\mu_{2} \quad H_{a}: \mu_{d}<0 \quad H_{a}: \mu_{1}>\mu_{2} \quad H_{a}: \mu_{d}>0 \quad H_{a}: \mu_{d} \neq 0 \end{array} - α=\alpha= \square reject HoH_{o} if probability ? ( α\alpha - TS:t=\mathrm{TS}: \mathrm{t}= \square (Round to 2 digits after the decimal point.) - probability = \square (Make sure you reference the probabilities in the output.) - decision: Select an answer \square - At the 0.10 level, there Select an answer - significant evidence to conclude the mean yards gained for AFC teams is Select an answer (C) than the mean for NFC teams.

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Problem 1123

Part 2 of 4 Points: 0 of 1
Listed below are the overhead widths (in cm ) of seals measured from photographs and the weights (in kg ) of the seals. Construct a scatterplot, find the value of the linear correlation coefficient rr, and find the critical values of r using α=0.05\alpha=0.05. Is there sufficient evidence to conclude that there is a linear correlation between overhead widths of seals from photographs and the weights of the seals? \begin{tabular}{l|cccccc} Overhead Width & 7.2 & 7.5 & 9.7 & 9.3 & 8.8 & 8.1 \\ \hline Weight & 117 & 183 & 241 & 199 & 202 & 182 \end{tabular}
Click here to view a table of critical values for the correlation coefficient.
Construct a scatterplot. Choose the correct graph below. A. BB. 0. D.
The linear correlation coefficient is r=r= \square (Round to three decimal places as needed.) Clear all Check answer

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Problem 1124

(a) Given: If Geometry is Maria's favorite subject, then the dress is on sale. If the dress is on sale, then the television is broken. Which statement must also be true? If Geometry is Maria's favorite subject, then the television is broken. (b) Given: If I am in my first period class, then Karen heard the radio. I am in my first period class. Which statement must also be true? I am not in my first period class. (c) Given: If the mouse escaped from the cat, then Yolanda is a doctor. Which statement must also be true? (choose one) (choose one) If Yolanda is not a doctor, then the mouse did not escape from the cat. If Yolanda is a doctor, then the mouse escaped from the cat. If the mouse did not escape from the cat, then Yolanda is not a doctor.

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Problem 1125

(a) Given: If Felipe's cousin is a girl, then the window is above the door. If the window is above the door, then the book was for sale online. Which statement must also be true? If Felipe's cousin is a girl, then the book was for sale online. (b) Given: If our instructor hates to fly, then the wall has been painted. Which statement must also be true? If the wall has not been painted, then our instructor does not hate to fly. l (c) Given: If Shen sleeps on the floor, then the bike is fast. Shen sleeps on the floor. Which statement must also be true? (choose one) (choose one) The bike is not fast. Shen does not sleep on the floor. The bike is fast.

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Problem 1126

A) 0.0659 B) 0.1505 C) 7.5820 D) 15.1639
1 the value. Give an approximation to four decimal places. 2) log563log291\log 563-\log 291 A) 12.0066 B) 1.1163 C) 0.6600 3) ln115ln24\ln 115-\ln 24 A) 7.9230 B) 1.4930 D) 0.2866 D) -5.0158
Ive the problem. 4) Let u=lnau=\ln a and v=lnbv=\ln b. Write the following expression in terms of uu and vv without usingu \operatorname{sing} the function ln\ln. ln(ab85)\ln \left(\sqrt[5]{a b^{8}}\right) A) u58v\frac{u}{5}-8 v B) u5+85v\frac{u}{5}+\frac{8}{5} v C) 85u+85v\frac{8}{5} u+\frac{8}{5} v D) u585v\frac{u}{5}-\frac{8}{5} v 5) Let u=lna\mathrm{u}=\ln \mathrm{a} and v=lnb\mathrm{v}=\ln \mathrm{b}. Write the following expression in terms of u and v without using the function In. lna9b35\ln \sqrt[5]{\frac{a^{9}}{b^{3}}}

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Problem 1127

Question 1 of 3, Step 2 of 2 TRINITEE NEWMAN 8/6 Correct
Graph the following function: y=352cot(x)y=3-\frac{5}{2} \cot (x)
Step 2 of 2: Determine how the general shape of the graph, chosen in the previous step, would be shifted, stretched, and reflected for the given function. Graph the results on the axes provided.
Answer Keypac Keyboard Shortch xx-Axis Reflection nenect graph across xx-axis
Shift Graph Vertically UpU_{p} Down None Shift Graph Horizontally (Phase Shift) Left Right None
Stretch/Compress Graph Vertically Yes No
Stretch/Compress Graph Horizontally (Period) Yes No Enable Zoom/Pan Submit Answer - 2024 Hawkes Learning D=14D=14

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Problem 1128

sin(xy)+x3=2y4\sin \left(\frac{x}{y}\right) + x^{3} = 2 - y^{4}

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Problem 1129

Next Page Page 1 of 12
A Question 1 (1 point) Retake question Listen
Which of the following must be present in order for the aggregate supply curve to form an upward slope? the lure of higher profits to induce continued production fixed cost of inputs combined with rising prices for outputs rise in aggregate quantity of supplied goods and services constant price level for intermediate goods and services Previous Page Next Page Page 1 of 12

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Problem 1130

Identify the slope and yy-intercept of the following linear equation: y=x3m=b=\begin{array}{l} y=x-3 \\ m=\square \\ b= \end{array}

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Problem 1131

On donne: (E)8m×x2(2m1)x+m+1=0(E) 8 m \times x^{2}-(2 m-1) x+m+1=0 ou mest un parametre réel
1. Calabler m pour que (E) admet une racin simple. 2. Calculer mm pour que ( EE ) admel une racine doulle trouver cette racine.
3. Déterminer mm schant que (E) admè 2 racine distincte. 4 - calculer mm pour que 2 sàt une raćne de ( EE ) puis trouver f'autre racine. puis trouver laure racine.
5. Determiner m pour que (E) n'admel pas une solute dans IR. 6- Calculer m pour que (E) admet 2 racines opposes. 7 - Peut-on trouser mm lorsque les racine de (E) sownt inverses?
8. ABCD est un rectangle de longueur (x1)\left(x^{\prime}-1\right) et de largeur (x1)\left(x^{\prime \prime}-1\right) ou xx^{\prime} et xx^{\prime \prime} sent les racines de (E) lorsque elle exátent. Trouver mpour que D'arr de ABCDA B C D cet egale à 10 . Puis trouse entre xx^{\prime} et xx Porsqu' elles excistent une relation independante de mm. Troure dans ce cas la racine double. 9 - exprimer en fonctión de m0m_{0} 1x1+1x11;x12+x2;xx11+xx1\frac{1}{x^{1}}+\frac{1}{x^{11}} ; x^{12}+x^{\prime \prime 2} ; \frac{x^{\prime}}{x^{11}}+\frac{x^{\prime \prime}}{x^{1}}

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Problem 1132

Which postulate or theorem proves that CFE\triangle C F E and DFE\triangle D F E are congruent? SAS Congruence Postulate AAS Congruence Theorem HL Congruence Theorem SSS Congruence Postulate

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Problem 1133

According to the Rational Root Theorem, 78-\frac{7}{8} is a potential rational root of which function? f(x)=24x7+3x6+4x3x28f(x)=24 x^{7}+3 x^{6}+4 x^{3}-x-28 f(x)=28x7+3x6+4x3x24f(x)=28 x^{7}+3 x^{6}+4 x^{3}-x-24 f(x)=30x7+3x6+4x3x56f(x)=30 x^{7}+3 x^{6}+4 x^{3}-x-56 f(x)=56x7+3x6+4x3x30f(x)=56 x^{7}+3 x^{6}+4 x^{3}-x-30

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Problem 1134

The size, SS, of a tumor (in cubic millimeters) is given by S=2tS=2^{t}, where tt is the number of months since the tumor was discovered. Give units with your answers.
Part 1
Part 2
Your answer is partially correct. (b) What is the average rate of change in the size of the tumor during the first three months?
Round your answer to one decimal place.
Average rate of change == i \square cubic millimeters/month

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Problem 1135

EX. 2 \begin{tabular}{|l|c|c|c|c|c|c|} \hline \# of Voters & 10 & 5 & 2 & 1 & 4 & 4 \\ \hline 1th 1^{\text {th }} choice & A & B & C & C & D & E \\ \hline 2nd 2^{\text {nd }} Choice & B & D & A & E & C & D \\ \hline 3rd 3^{\text {rd }} Choice & C & E & E & B & A & C \\ \hline 4th 4^{\text {th }} Choice & D & C & B & A & E & A \\ \hline 5th 5^{\text {th }} Choice & E & A & D & D & B & B \\ \hline \end{tabular}
VOTERS =26262=13=26 \quad \frac{26}{2}=13 MAJORTIY = At Least 14 Round 1 ACD\square \stackrel{A}{\square} \square \square^{\mathrm{C}} \square \square^{\mathrm{D}} Round 2 ACD\square \stackrel{A}{\square} \square \square^{C} \square^{D} \square Round 3 ABCA \quad B \quad C D E \square \square \square \square
Winner by Plurality with Elimination is \qquad

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Problem 1136

40. Gambarlah grafik persamaan r=5sinθ dan r=2+sinθr=5 \sin \theta \text { dan } r=2+\sin \theta tentukan titik potongnya.

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Problem 1137

Does the function model exponential growth or decay? g(x)=732xg(x)=\frac{7}{3} \cdot 2^{x}
Choose 1 answer: (A) Growth (B) Decay

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Problem 1138

8. For the given exam grades, briefly describe the shape and variation of the distribution. Exam results for 100 students: median =82=82, mean =65=65, low score =22=22, high score =100=100 Use the skills covered in the Brief Review on p. 415 to answer the following questions. A local ski sale featurs

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Problem 1139

EX. 4 \begin{tabular}{|c|c|c|c|c|} \hline \# of Voters & 7 & 8 & 10 & 4 \\ \hline 1st 1^{\text {st }} choice & A & B & C & A \\ \hline 2nd 2^{\text {nd }} Choice & B & C & A & C \\ \hline 3rd 3^{\text {rd }} Choice & C & A & B & B \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|} \hline \# of Voters & 7 & 8 & 14 \\ \hline 1st 1^{\text {st }} choice & A & B & C \\ \hline 2nd 2^{\text {nd }} Choice & B & C & A \\ \hline 3rd 3^{\text {rd }} Choice & C & A & B \\ \hline \end{tabular}
Determine a winner of the straw poll using plurality with elimination. \qquad wins.
Now determine a winner of the actual election using the same method. \qquad wins.

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Problem 1140

Voting Method Practice Name: Maria Nourzehi \qquad A vote is taken at school for a new treat to be included in the lunchroom. The choices are Ice Cream Sandwiches (I), Cupcakes (C), Brownies (B), Fruit Salad (F), and Jello (J). The votes are below. 200 (e, eople were asked. \begin{tabular}{|l|c|c|c|c|c|c|} \hline \begin{tabular}{l} Number of \\ ballots cast \end{tabular} & 55 & 50 & 45\mathbf{4 5} & 25\mathbf{2 5} & 15\mathbf{1 5} & 10\mathbf{1 0} \\ \hline 1st 1^{\text {st }} place & I & C & B & B & F & J \\ \hline 2nd 2^{\text {nd }} place & F & I & C & F & B & C \\ \hline 3rd 3^{\text {rd }} place & C & B & J & I & J & F \\ \hline 4th 4^{\text {th }} place & B & J & I & C & I & B \\ \hline 5th 5^{\text {th }} place & J & F & F & J & C & I \\ \hline \end{tabular}
1. Did any choice get a majority of the 1st 1^{\text {st }} place votes? Give the percentage for each of the 5 choices. State if there is a majority winner.

Who would win using the Plurality method based on the 1st 1^{\text {st }} place votes?
3. Use the Borda Count Method to determine a winner (use a 5,4,3,2,15,4,3,2,1 point system). Show work and point totals below.

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Problem 1141

Utilizando la gráfica, determina la ecuación del eje de simetría.

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Problem 1142

Step 1 need to divide. However, we note that the denominator can be factored as follows. Q(x)=6x2+7x+1=(6x+1)()\begin{aligned} Q(x) & =6 x^{2}+7 x+1 \\ & =(6 x+1)(\square) \end{aligned} Submit Skip (you cannot come back)

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Problem 1143

\begin{tabular}{|c|c|c|c|c|} \hline & Unit resource & & & \\ \hline & prices & Method \#1 & Method \#2 & Method \#3 \\ \hline Land & \$1 & 6 & 3 & 4 \\ \hline Labor & 2 & 4 & 3 & 3 \\ \hline Capital & 3 & 3 & 4 & 6 \\ \hline Entrepreneurship & 4 & 2 & 4 & 1 \\ \hline \end{tabular} (a) Which method is most efficient? Why? (b) Given the above prices, will the firm adopt a new method which involves 10 units of land, 3 of labor, 2 of capital, and 2 of entrepreneurial ability? (c) Suppose the price of capital falls to \$1 without any other prices changing. Which of the methods will the firm now choose? Why?

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Problem 1144

The table below gives the color and cost of light bulbs that were sold at a certain store. These are the only light bulbs that the store sold. \begin{tabular}{|l|c|} \hline Color & Cost (\$) \\ \hline Red & 5 \\ \hline Yellow & 3 \\ \hline Purple & 6 \\ \hline Green & 3 \\ \hline White & 2 \\ \hline \end{tabular}
Complete parts (a) through (c) below. Assume that any light bulb mentioned was sold at the store. (a) Write the following biconditional statement as a conditional statement and its converse.
Biconditional statement: A light bulb was green if and only if the light bulb cost $3\$ 3.
Conditional statement: If \square (Choose one) then \square (Choose one)
Converse: If (Choose one) \square then (Choose one) \square (b) Use the table to determine the truth value of the conditional statement and its converse.
The conditional statement is \square (Choose one) \nabla Explanation Check Search

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Problem 1145

3x+4y=83 x+4 y=8
DEETHO THE XX-INTEREEPT AND THE yy-INTERCEPT (GEE P. 73 MATH NOTES)

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Problem 1146

For each relation, decide whether or not it is a function.
Relation 1 \begin{tabular}{|c|c|} \hline Domain & Range \\ \hlinekk & mm \\ \hlinegg & yy \\ \hlinemm & yy \\ \hlineff & mm \\ \hline \end{tabular} Function Not a function

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Problem 1147

Determine whether x=1x=1 and x=1x=-1 are sofutions to the absotule vatue inequabify 42x=5|4-2 x|=5
Is x=1x=1 a solution to the inequality? No Yes

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Problem 1148

Part 1 of 4
If P=0.03P=0.03, the result is statistically significant at the α=0.01\alpha=0.01 level. The statement is \square true false
Part 2 of 4
If P=0.03P=0.03, the null hypothesis is rejected at the α=0.01\alpha=0.01 level. The statement is (Choose one) \square
Part 3 of 4 Check

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Problem 1149

Determine whether x=3x=3 and x=3x=-3 are solutions to the absolute value inequality. 164x22|16-4 x| \leq 22

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Problem 1150

4.1) Given the following function, determine the difference quotient, f(x+h)f(x)h\frac{f(x+h)-f(x)}{h}. f(x)=x+5f(x)=x+5

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Problem 1151

Relation 2 Function Not a function

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Problem 1152

State whether the given sums are equal or unequal. (a) i=121i\sum_{i=1}^{21} i and k=121k\sum_{k=1}^{21} k are ? (b) i=121i\sum_{i=1}^{21} i and i=525(i4)\sum_{i=5}^{25}(i-4) are \square ? ) (c) i=421i(i4)\sum_{i=4}^{21} i(i-4) and j=017(j+4)j\sum_{j=0}^{17}(j+4) j are \square ? ( (d) i=421i(i4)\sum_{i=4}^{21} i(i-4) and k=421(k24k)\sum_{k=4}^{21}\left(k^{2}-4 k\right) are \square

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Problem 1153

\begin{align*} y &= \left(\frac{1}{2}\right)^{x+3} - 1 \\ y &= \left(\frac{1}{2}\right)^{x-3} + 1 \\ y &= \left(\frac{1}{2}\right)^{x-1} + 3 \\ y &= \left(\frac{1}{2}\right)^{x+1} - 3 \end{align*}

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Problem 1154

In this problem you will calculate the area between f(x)=6x3f(x)=6 x^{3} and the xx-axis over the interval [0,2][0,2] using a limit of right-endpoint Riemann sums:  Area =limn(k=1nf(xk)Δx)\text { Area }=\lim _{n \rightarrow \infty}\left(\sum_{k=1}^{n} f\left(x_{k}\right) \Delta x\right)
Express the following quantities in terms of nn, the number of rectangles in the Riemann sum, and kk, the index for the rectangles in the Riemann sum. a. We start by subdividing [0,2][0,2] into nn equal width subintervals [x0,x1],[x1,x2],,[xn1,xn]\left[x_{0}, x_{1}\right],\left[x_{1}, x_{2}\right], \ldots,\left[x_{n-1}, x_{n}\right] each of width Δx\Delta x. Express the width of each subinterval Δx\Delta x in terms of the number of subintervals nn. Δx=\Delta x=\square b. Find the right endpoints x1,x2,x3x_{1}, x_{2}, x_{3} of the first, second, and third subintervals [x0,x1],[x1,x2],[x2,x3]\left[x_{0}, x_{1}\right],\left[x_{1}, x_{2}\right],\left[x_{2}, x_{3}\right] and express your answers in terms of nn. x1,x2,x3= (Enter a comma separated list.) x_{1}, x_{2}, x_{3}=\square \text { (Enter a comma separated list.) } c. Find a general expression for the right endpoint xkx_{k} of the kk th subinterval [xk1,xk}\left[x_{k-1}, x_{k}\right\}, where 1kn1 \leq k \leq n. Express your answer in terms of kk and nn. xk=x_{k}= \square d. Find f(xk)f\left(x_{k}\right) in terms of kk and nn. f(xk)=f\left(x_{k}\right)= \square e. Find f(xk)Δxf\left(x_{k}\right) \Delta x in terms of kk and nn. f(xk)Δx=f\left(x_{k}\right) \Delta x= \square f. Find the value of the right-endpoint Riemann sum in terms of nn. k=1nf(xk)Δx=\sum_{k=1}^{n} f\left(x_{k}\right) \Delta x= \square g. Find the limit of the right-endpoint Riemann sum. limn(k=1nf(xk)Δx)=\lim _{n \rightarrow \infty}\left(\sum_{k=1}^{n} f\left(x_{k}\right) \Delta x\right)= \square

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Problem 1155

What types of symmetry, if any, does the following figure have? none point symmetry only line and rotational symmetry point and rotational symmetry

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Problem 1156

erence of: (x2\left(x^{2}\right. x+8x23x+3)(x+5)\left.x+8 \quad x^{2}-3 x+3\right)-\sqrt{(x+5)}

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Problem 1157

12141074542136315494\begin{array}{ccc|c} -12 & -14 & 10 & 7 \\ 45 & -42 & -13 & 63 \\ 15 & 4 & -9 & 4 \end{array}
Determine if the system of equations represented by the augmented matrix is inconsistent.

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Problem 1158

2. What type of function is represented by each of the following tables of values? Explain your thinking. \begin{tabular}{|c|c|c|c|c|c|} \hline Question A & & \multicolumn{2}{|c|}{ Question B } & & \multicolumn{1}{|c|}{ Question C } \\ \hlinexx & f(x)f(x) & xx & f(x)f(x) & xx & f(x)f(x) \\ \hline-3 & 4 & -3 & 4 & -3 & -12 \\ \hline-2 & 0 & -2 & 12 & -2 & -10 \\ \hline-1 & -2 & -1 & 36 & -1 & -8 \\ \hline 0 & -2 & 0 & 108 & 0 & -6 \\ \hline 1 & 0 & 1 & 324 & 1 & -4 \\ \hline 2 & 4 & 2 & 972 & 2 & -2 \\ \hline 3 & 10 & 3 & 2916 & 3 & 0 \\ \hline \end{tabular}

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Problem 1159

3. For each investment, i) use the Rule of 72 to estimate the doubling time and then determine the doubling time. ii) determine the future value and the total interest earned. a) \begin{tabular}{|c|c|l|c|} \hline \begin{tabular}{c} Principal \\ (P)($)(\boldsymbol{P}) \mathbf{( \$ )} \end{tabular} & \begin{tabular}{c} Rate of \\ Compound \\ Interest per \\ Annum (\%) \end{tabular} & \begin{tabular}{l} Compounding \\ Frequency \end{tabular} & Term (years) \\ \hline 7000 & 6.8 & annually & 35 \\ \hline 850 & 9.2 & monthly & 20 \\ \hline 12500 & 15.6 & weekly & 5 \\ \hline 40000 & 2.7 & semi-annually & 8 \\ \hline \end{tabular}

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Problem 1160

12x12y+16z=446x+2y6z=1075x5y20z=0\begin{aligned} 12 x-12 y+16 z & =44 \\ 6 x+2 y-6 z & =-10 \\ 75 x-5 y-20 z & =0 \end{aligned}
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is one solution. The solution is x=x= \square \square , y=y= (Simplify your answer.) and z=z= \square . B. The system is dependent. There are infinitely many solutions. C. The system is inconsistent. There is no solution.

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Problem 1161

Math ovember 15 at 11:59 PM Complete: 10\% raph Stories atterns in a Table Equation (Level 1) quation (Level 2) Representations)
How long did it stop snowing for?

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Problem 1162

8) Grayson and Jenna completed a 12-mile run. Below is the information regarding their run. The graph shows the total distance, in miles, that Jenna ran over time.
Jenna's Run
Grayson's Run Grayson ran at a constant rate of 5 miles per hour.
In the first hour of their run, how many more miles did Jenna run than Grayson? \square

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Problem 1163

15) Find the slope and yy-intercept from the following graph of a linear equation. (A) slope =4=4 and yy-intercept =3=3 (B) slope =3=3 and yy-intercept =4=4 (C) slope =4=4 and yy-intercept =5=5 (D) slope =5=5 and yy-intercept =4=4

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Problem 1164

What kind of transformation converts the graph of f(x)=x+10f(x)=|x|+10 into the graph of g(x)=g(x)= 6x+106|x|+10 ? horizontal stretch vertical stretch horizontal shrink vertical shrink Submit

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Problem 1165

Berechne die linearfaktodarstellung c) f(x)=13x22x+4f(x)=\frac{1}{3} x^{2}-2 x+4 e) f(x)=2x22xf(x)=2 x^{2}-2 x f) f(x)=2x28x8f(x)=-2 x^{2}-8 x-8

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Problem 1166

2 The demand for a luxury good whose purchase would exhaust a significant portion of one's income is: Multiple Choice perfectly elastic relatively inelastic О perfectly inelastic О relatively elastic

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Problem 1167

Determine whether the given ordered pair is a solution of the systern. (2,5)y=3x112x+2y=6\begin{array}{l} (2,-5) \\ y=3 x-11 \\ 2 x+2 y=-6 \end{array}
Is (2,5)(2,-5) a solution of the system? Yes No

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Problem 1168

The quadratic expression x23x54x^{2}-3 x-54 can be factored into which form? (xa)(xb)(x-a)(x-b) (x+a)(x+b)(x+a)(x+b) (x+a)(xb)(x+a)(x-b) (xa)2(x-a)^{2} (x+a)2(x+a)^{2}

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Problem 1169

Find the discriminant of the quadratic equation:

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Problem 1170

2. The following exercise has the incorrect answer. Circle the mistake(s). There may be more than one error in calculations. ×\times Clear Undo \rightarrow Redo x/(1/5)=3/4x /(1 / 5)=3 / 4 x=3451x=\frac{3}{4} \cdot \frac{5}{1} x=154x=\frac{15}{4}
Explain the mistake(s) and give the correct solution with calculations.
B I U 宣 x\sqrt{x} \square\square

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Problem 1171

Abdullah Beyin aldigi takım elbisenin flyatı dort basamakh 34A6 liradir. Abdullah Bay bu takum olbisoyi 6 oplt taksitle alablldigine gore A yerine asagıdakllerden hanglsi yazalamaz? A) 8 B) 7 C) 5 D) 2

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Problem 1172

Which expression is equivalent to 9b+9 b+ bb ? 8b+2b8 b+2 b 11b11 b b10b^{10} b+10b+10

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Problem 1173

Use the given function to complete parts a) through e) below. f(x)=4(x1)2(x24)f(x)=-4(x-1)^{2}\left(x^{2}-4\right) a) Use the Leading Coefficient Test to determine the graph's end behavior. The graph of f(x)f(x) falls left and rises right. The graph of f(x)f(x) rises left and falls right. The graph of f(x)f(x) rises left and rises right. The graph of f(x)f(x) falls left and falls right. b) Find the xx-intercepts.
The xx-intercept(s) is/are \square . (Type an integer or a decimal. Use a comma to separate answers as needed.)

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Problem 1174

Which relationship has a zero slope? \begin{tabular}{|c|c|} \hlinexx & \\ \hline-3 & yy \\ \hline-1 & 2 \\ \hline 1 & 2 \\ \hline 3 & 2 \\ \hline & 2 \\ \hline \end{tabular} \begin{tabular}{|c|c|} \hlinexx & \\ \hline-3 & yy \\ \hline-1 & 3 \\ \hline 1 & 1 \\ \hline 3 & -1 \\ \hline & -3 \\ \hline \end{tabular}
his and return

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Problem 1175

5+7(5m+8)=2m+245+7(5 m+8)=-2 m+24

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Problem 1176

Given the ordered pairs, determine if ABundefined\widehat{A B} and CDundefined\overrightarrow{C D} are parallel perpendicular, or neither. A(8,3),B(12,2)C(7,3),D(2,7)\begin{array}{l} A(-8,3), B(-12,-2) \\ C(-7,-3), D(-2,-7) \end{array}

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Problem 1177

N -III: Let (Un)\left(U_{n}\right) be a sequence defined by: U1=32U_{1}=\frac{3}{2} and for every natural integer n\mathbf{n} we have Un+1=Un+32U_{n+1}=\frac{U_{n}+3}{2} and let Vn=3UnV_{n}=3-U_{n}. 1) Calculate U2,U3U_{2}, U_{3} and V1V_{1}. 2) Show that the sequence (Vn)\left(V_{n}\right) is a geometric sequence of ratio q=12q=\frac{1}{2}. 3) Calculate VnV_{n} as a function of n\boldsymbol{n} and deduce UnU_{n} as a function of n\boldsymbol{n}. 4) Calculate Un+1UnU_{n+1}-U_{n} as a function of n\boldsymbol{n} and deduce the sense of variations of (Un)\left(U_{n}\right). 5) Let Sn=U1+U2++UnS_{n}=U_{1}+U_{2}+\cdots+U_{n} and Sn=V1+V2++VnS_{n}^{\prime}=V_{1}+V_{2}+\cdots+V_{n}.
Express SnS_{n} as a function of SnS_{n}^{\prime} and deduce SnS_{n} as a function of n\boldsymbol{n}.

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Problem 1178

[0/7 Points] DETAILS MY NOTES
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) g(x)=16x23g(x)=\sqrt[3]{16-x^{2}}

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Problem 1179

Find limx0+(cotx)x\lim _{x \rightarrow 0^{+}}(\cot x)^{x}

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Problem 1180

22. Given the function below, find the * 5 points vertical shift. y=2sin(4x+π4)+5y=2 \sin \left(4 x+\frac{\pi}{4}\right)+5 A V.S. =2=2 B V.S. =4=4 C V.S. =4=-4 D V.S. =5=5

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Problem 1181

19. Given the function below, find the 5 points amplitude. (The same function will be used for problems 19-22). y=2sin(4xπ4)+5y=2 \sin \left(4 x-\frac{\pi}{4}\right)+5 A. Amp. =5=5 B. Amp. =4=4 C. Amp. =2=2 D. Amp. =π4=\frac{\pi}{4} AA B C D

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Problem 1182

Math 2211 Classwork over 4.1 and 4.3
1. (10 points) Consider f(x)=x46x2f(x)=x^{4}-6 x^{2}. (a) Find the critical numbers of the function. (b) Find the intervals on which ff is increasing or decreasing. (c) Find the local maximum and minimum values of ff. (d) Find the inflection points. (e) Find the intervals of concavity.

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Problem 1183

The shape of the distribution of the time required to get an oil change at a 10 -minute oil-change facility is skewed right. However, records indicate that the mean time is 11.3 minutes, and the standard deviation is 3.9 minutes. Complete parts (a) through (c). (a) To compute probabilities regarding the sample mean using the normal model, what size sample would be required? A. The sample size needs to be less than or equal to 30 . B. The sample size needs to be greater than or equal to 30. C. The normal model cannot be used if the shape of the distribution is skewed right. D. Any sample size could be used.

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Problem 1184

```latex \text{Bacteria in which phase are least likely to be able to survive antibiotic treatment without the presence of specific resistance genes because they are devoting all their resources to growing as fast as possible?} \\ \text{A. Exponential phase} \\ \text{B. Persistence phase} \\ \text{C. Reproductive phase} \\ \text{D. Stationary phase} \\ \text{E. Lag phase} ```

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Problem 1185

The shape of the distribution of the time required to get an oil change at a 10 -minute oil-change facility is skewed right. However, records indicate that the mean time is 11.3 minutes, and the standard deviation is 3.9 minutes. Complete parts (a) through (c). (b) What is the probability that a random sample of n=40n=40 oil changes results in a sample mean time less than 10 minutes?
The probability is approximately \square . (Round to four decimal places as needed.) (c) Suppose the manager agrees to pay each employee a $50\$ 50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 40 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, there would be a 10%10 \% chance of the mean oil-change time being at or below what value? This will be the goal established by the manager.
There is a 10\% chance of being at or below a mean oil-change time of \square minutes. (Round to one decimal place as needed.)

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Problem 1187

For each equation, choose the statement that describes its solution If applicable, give the solution. 2(y+1)+5y=3(y+1)2-2(y+1)+5 y=3(y+1)-2 No solution y=y= \square All real numbers are solutions 4(w+2)w=2(w1)+94(w+2)-w=2(w-1)+9 No solution w=w= \square All real numbers are solutions Check

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Problem 1188

A researcher studied the relationship between the number of times a certain species of cricket will chirp in one minute and the temperature outside. Her data is expressed in the scatter plot and line of best fit below. Calculate the residual for the data point that corresponds to 70 chirps in one minute and a temperature of 56.3F56.3^{\circ} \mathrm{F}.

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Problem 1189

IVIall - Garcia, Robin... DeltaMath Student... All Bookmarks
The scatter plot and line of best fit below show the length of 16 people's femur (the long leg bone in the thigh) and their height in centimeters. Calculate the residual for the data point that corresponds to someone with a femur length of 36 cm and a height of 133.7 cm.

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Problem 1190

The box-and-whisker plot below represents some data set. What percentage of the data values are greater than or equal to 27?27 ?

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Problem 1191

The table shows the marginal cost C(x)C^{\prime}(x), the marginal revenue R(x)R^{\prime}(x) for producing xx items. The third column, P(x)P^{\prime}(x), is partially completed All values are in dollars per item. (a) Complete the remaining entries in the third column. (b) What does the table tell you about the revenue function? (c) Find the production level that maximizes profit. (a) Complete the remaining entries in the third column of the table on the right. (b) What does the table tell you about the revenue function? Select one and complete the box, if necessary. A. Items sell for $\$ \square each. B. There is not enough information to determine anything about the revenue function. \begin{tabular}{|c|c|c|c|} \hline x\mathbf{x} & C(x)\mathbf{C}^{\prime}(\mathbf{x}) & R(x)\mathbf{R}^{\prime}(\mathbf{x}) & P(x)\mathbf{P}^{\prime}(\mathbf{x}) \\ \hline \hline 0 & 256 & 205 & -51 \\ \hline 10 & 205 & 205 & \square \\ \hline 90 & 13 & 205 & \square \\ \hline \hline 170 & 205 & 205 & \square \\ \hline 190 & 985 & 205 & -780 \\ \hline \end{tabular} (c) Find the production level that maximizes profit.
Profit P(x)P(x) is a maximum when x=x= \square items are produced.

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Problem 1192

12. A jumping spider jumps from a log onto the ground below. Its height, hh, in centimetres, as a function of time, tt, in seconds, since it jumped can be modelled by the function h(t)=490t2+75t+12h(t)=-490 t^{2}+75 t+12. Where appropriate, answer the following questions to the nearest tenth. a) Graph the function. b) What does the h-intercept represent? c) When does the spider reach its maximum height? What is its maximum height?

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Problem 1193

For the demand function q=D(p)=367pq=D(p)=367-p, find the following. a) The elasticity b) The elasticity at p=111\mathrm{p}=111, stating whether the demand is elastic, inelastic or has unit elasticity c) The value(s) of pp for which total revenue is a maximum (assume that pp is in dollars) a) Find the equation for elasticity. E(p)=E(p)= \square b) Find the elasticity at the given price, stating whether the demand is elastic, inelastic or has unit elasticity. E(111)=E(111)= \square (Simplify your answer. Type an integer or a fraction.)
Is the demand elastic, inelastic, or does it have unit elasticity? elastic inelastic unit elasticity c) Find the value(s) of pp for which total revenue is a maximum (assume that pp is in dollars). $\$ \square

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Problem 1194

5) 502q+3q-50 \geq 2 q+3 q 10) 2(43g)5g<6g1282(4-3 g)-5 g<6 g-128

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Problem 1195

c. cos2θsin2θ+sinθ=0\cos ^{2} \theta-\sin ^{2} \theta+\sin \theta=0

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Problem 1196

Problem 1: Given the function f(x)=3x2+1f(x)=3^{x-2}+1. a) Graph the function
Problem 2: Given the function f(x)=log3(x+4)f(x)=\log _{3}(x+4). a) Graph the function b) Domain:
Range:
Asymptote: b) Domain:
Range:
Asymptote:

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Problem 1197

Sketched below are the graphs of f(x)=ax2+qf(x)=a x^{2}+q and g(x)=(12)x4g(x)=\left(\frac{1}{2}\right)^{x}-4. A and B are the xx-intercepts of ff. The graphs intersect at A and point E(1;3)\mathrm{E}(1 ; 3) lies on ff. C is the turning point of ff and D is the yy-intercept of gg. 5.1 Write down the: 5.1.1 Coordinates of D 5.1.2 Range of gg 5.2 Calculate the: 5.2.1 Coordinates of A 5.2.2 Values of aa and qq 5.3 Determine the: 5.3.1 Length of CD 5.3.2 Equation of a straight line through A and D 5.4 For which values of xx is: 5.4.1 f(x)>0\quad f(x)>0 ? 5.4.2 f\quad f decreasing?

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Problem 1198

A bakery works out a demand function for its chocolate chip cookies and finds it to be q=D(x)=70611xq=D(x)=706-11 x, where qq is the quantity of cookies sold when the price per cookie, in cer is xx. Use this information to answer parts a) through ff ). a) Find the elasticity E(x)=E(x)=\square b) At what price is the elasticity of demand equal to 1 ? \square f (Round to the nearest cent as needed.) c) At what prices is the elasticity of demand elastic? A. Prices cannot be elastic in this case B. Prices are elastic at all values. C. Greater than 3232 \varnothing D. Less than 32 c d) At what prices is the elasticity of demand inelastic?

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Problem 1199

College tuition: The mean annual tuition and fees for a sample of 13 private colleges in California was $38,000\$ 38,000 with a standard deviation of $7900\$ 7900. A dotplot shows that it is reasonable to assume that the population is approximately normal. Can you conclude that the mean tuition and fees for private institutions in California differs from $35,000\$ 35,000 ? Use the α=0.01\alpha=0.01 level of significance and the PP-value method with the TI-84 Plus calculator.
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:μ=35,000H1:μ35,000\begin{array}{l} H_{0}: \mu=35,000 \\ H_{1}: \mu \neq 35,000 \end{array}
This hypothesis test is a two-tailed \quad test.
Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. t=1.37t=1.37
Part: 2/52 / 5
Part 3 of 5 (c) Compute the PP-value. Round the PP-value to at least four decimal places. PP-value == \square

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Problem 1200

14. Restaurants have many dishes to do over the course of a day. An industrial dishwasher may do 150 loads of dishes in an 8 hour shift. What is the rate of change in this scenario? 183418 \frac{3}{4} loads per hour 25 hours per dish 20 dishes per hour 8150\frac{8}{150} dishes per hour

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