Analyze

Problem 14601

Identify equivalent equations for pq=93p-q=-93. Which of these are equivalent?
1. pq3=31\frac{p-q}{3}=-31
2. pq3=32\frac{p-q}{3}=-32
3. pq3=29\frac{p-q}{-3}=29
4. pq3=31\frac{p-q}{-3}=31

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Problem 14602

Identify hydrocarbon Q\mathrm{Q} if burning 1.00 g1.00 \mathrm{~g} produces 3.22 g3.22 \mathrm{~g} of CO₂. Options: A) cyclohexene B) cyclopentane C) ethene D) pentane.

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Problem 14603

Identify equivalent equations to 15=tu15=t-u from the options: 20=tu+520=t-u+5, 17=2+tu17=2+t-u, 18=tu+318=t-u+3, 19=tu+419=t-u+4.

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Problem 14604

Identify all equations equivalent to: 30=14y-30=14 y. Consider properties of equality. Options: 60=214y60=-2 \cdot 14 y, 60=14y2-60=14 y \cdot 2, 90=14y390=14 y \cdot-3, 90=14y3-90=14 y \cdot 3.

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Problem 14605

Find all equations equivalent to 12=4c12=4c using properties of equality: 2=4c102=4c-10, 9=4c29=4c-2, 10=4c210=4c-2, 4=4c84=4c-8.

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Problem 14606

Find all equations equivalent to: 62=r+s-62 = r + s. Consider the following options.

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Problem 14607

Select equations equivalent to 15=r+s15 = r + s using properties of equality: 20=r+s+520 = r + s + 5, 19=4+r+s19 = 4 + r + s, 18=3+r+s18 = 3 + r + s, 17=r+s+217 = r + s + 2.

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Problem 14608

Find pairs of factors for 50 and complete the equations: 50 = 2 \cdot 15, 50 = __.

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Problem 14609

Find two equations that equal 48 using multiplication, similar to: 48=14848 = 1 \cdot 48, 48=22448 = 2 \cdot 24.

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Problem 14610

Find the vertices and foci of the hyperbola y249x236=1\frac{y^{2}}{49}-\frac{x^{2}}{36}=1. Enter as (0,±a)(0, \pm a) and (0,±c)(0, \pm c).

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Problem 14611

Solve the inequality: log35(2x)+log35(x+2)>log353x\log _{\frac{3}{5}}(2-x)+\log _{\frac{3}{5}}(x+2)>\log _{\frac{3}{5}} 3 x.

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Problem 14612

Graph the hyperbola from the equation 25x236y2900=025 x^{2}-36 y^{2}-900=0 using its transverse axis, vertices, and co-vertices.

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Problem 14613

Solve the inequality: (log2x)2log2x<0(\log_{2} x)^{2} - \log_{2} x < 0.

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Problem 14614

Find the asymptotes of the hyperbola: (y+1)29(x2)264=1\frac{(y+1)^{2}}{9}-\frac{(x-2)^{2}}{64}=1.

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Problem 14615

Solve the inequality: log2x7logx+12<0\log ^{2} x - 7 \log x + 12 < 0.

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Problem 14616

Find the average rate of change of y=2×3xy=2 \times 3^{x} from x=0x=0 to x=4x=4. Options: A 40.5 B 162 C 158 D 40 E 4

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Problem 14617

Which expression is NOT equal to (3x12)(x+4)(3 x-12)(x+4)? 3(x28x+16)3\left(x^{2}-8 x+16\right), 3(x216)3\left(x^{2}-16\right), 3x2483 x^{2}-48, 3x(x+4)12(x+4)3 x(x+4)-12(x+4)

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Problem 14618

Find the values of yy and the gradient at x=1x=-1 for the function y=4x3x2+3x+1y=-4x^3-x^2+3x+1.

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Problem 14619

Solve for cc in the equation: 42=3c4 - 2 = 3c.

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Problem 14620

Solve the inequality: 6n+3146 \leq n + 3 \frac{1}{4}.

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Problem 14621

What is the probability of rolling a sum of 3 with two 12-sided dice in 5 out of 10 trials?

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Problem 14622

Indicate if Ratio AA equals Ratio BB by placing an XX in the Yes or No column for each pair of ratios.

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Problem 14623

Compare earnings per item sold: Lincoln School: $5\$ 5 for 4 boxes; Williams School: $7\$ 7 for 6 rolls.

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Problem 14624

Place an XX to show if Ratio AA equals Ratio BB:
1. 8/108/10 vs 4/54/5
2. 15/4015/40 vs 3/103/10
3. 3/63/6 vs 1/21/2

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Problem 14625

Solve the equation: x32x2x3=2x2\frac{x^{3}-2 x^{2}}{x^{3}}=-2 x^{2}.

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Problem 14626

Are the ratios of canned goods per student the same for Mr. Alvarez, Ms. Jensen, and Mrs. Saunders? Show your work.

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Problem 14627

Balance the equation Ga2O3(s)+6HCl(aq)2GaCl3(aq)+3H2O(l)\mathrm{Ga}_{2} \mathrm{O}_{3}(s)+6 \mathrm{HCl}(aq) \rightarrow 2 \mathrm{GaCl}_{3}(aq)+3 \mathrm{H}_{2} \mathrm{O}(l) and perform stoichiometry calculations.

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Problem 14628

A geostationary satellite orbits 35800 km35800 \mathrm{~km} above Earth. Answer these:
a) Sketch Earth and the satellite's path. b) Distance an equatorial observer travels in a day? c) Distance the satellite travels in a day to stay stationary? d) Speed difference between the satellite and the observer? Use Velocity=distancetimeVelocity = \frac{\text{distance}}{\text{time}}.

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Problem 14629

A pilot descends 4,000 feet in 3.5 minutes. Find the rate of change in altitude to the nearest hundredth.

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Problem 14630

Linda's motorhome uses 3 gallons for 24 miles. Fill in the missing gallons and distances in the table.

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Problem 14631

Find the range of the daily ATM transactions: 51, 16, 7, 8, 54, 25, 7, 36, 51.

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Problem 14632

Find the range of the ATM transactions: 51, 16, 7, 8, 54, 25, 7, 36, 51.

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Problem 14633

Calculate the income tax h(x)h(x) for the following incomes: (a) 12601260, (b) 71607160, (c) 4907049070. Round to the nearest cent.

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Problem 14634

Find kk for which the line y=2x+3y=-2x+3 is tangent to the curve f(x)=kx2f(x)=k x^{2}.

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Problem 14635

Evaluate the expression when c=6c=6 and d=26d=26: d300d-\frac{30}{0}.

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Problem 14636

Verify if 214\frac{2^{1}}{4} equals 74\frac{7}{4}.

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Problem 14637

Estimate the mean age of females at first child birth using f(x)=22x0.045f(x)=22 x^{0.045} for the years 2010, 2013, and 2019.

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Problem 14638

Classify the following matter types: hot coffee, salt water, aluminum, gold, orange juice with pulp, magnesium, carbon dioxide, air, sugar, toluene, soil.

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Problem 14639

Find kk so that the line y=2x+ky=2x+k goes through the minimum point of the curve y=3x2+12x+13y=3x^2+12x+13.

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Problem 14640

Find the average rate of change of f(x)f(x) from x1=2x_{1}=2 to x2=4x_{2}=4 for f(x)=3x+1f(x)=\sqrt{3x+1}, rounded to the nearest hundredth.

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Problem 14641

Find yy for y=1xy=\frac{1}{x} when xx is -4, -3, -2, -1, 0, 1, 2.

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Problem 14642

Find the values of yy for y=1xy=\frac{1}{x} when x=4,3,2,1,0,1,2,3,4x = -4, -3, -2, -1, 0, 1, 2, 3, 4.

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Problem 14643

Find values of xx for which the volume of a prism is 500\geq 500 cubic units, given width =x5= x - 5 and height =2x= 2x.

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Problem 14644

Mary bought a \$30,000 boat with a \$2,000 down payment. What happened to her assets and liabilities? A) Both decreased B) Both increased C) Assets decreased, liabilities increased D) Assets increased, liabilities decreased. Choose the best answer.

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Problem 14645

Find possible lengths for a garden with 80 ft of fencing, area > 400 sq ft and < 600 sq ft. Options are: (0,10)(30,40)(0,10) \cup(30,40), (20102,20+102)(20-10 \sqrt{2}, 20+10 \sqrt{2}), (0,20102)(20+102,40)(0,20-10 \sqrt{2}) \cup(20+10 \sqrt{2}, 40), (20102,10)(30,20+102)(20-10 \sqrt{2}, 10) \cup(30,20+10 \sqrt{2}).

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Problem 14646

Complete the table for y=1xy = \frac{1}{x} with xx values: -4, -3, -2, -1, 0, 1, 2, 3, 4. Some yy values are undefined.

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Problem 14647

What type of asset is money in a retirement fund? a. investment asset b. liquid asset c. long term asset d. use asset. Select the best answer.

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Problem 14648

Classify these as pure substances or mixtures: 1. baking soda (NaHCO₃), 2. blueberry muffin, 3. ice (H₂O), 4. zinc (Zn), 5. Trimix (O₂, N₂, He).

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Problem 14649

Mikah buys a TV for \$1,600 valued at \$1,800 with a \$300 down payment. How much did his assets increase? A, B, C, or D?

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Problem 14650

Classify these substances as elements or compounds: 1. silicon (Si), 2. oxygen (O2\mathrm{O}_{2}), 3. hydrogen peroxide (H2O2\mathrm{H}_{2} \mathrm{O}_{2}), 4. rust (Fe2O3\mathrm{Fe}_{2} \mathrm{O}_{3}), 5. methane (CH4\mathrm{CH}_{4}).

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Problem 14651

Find the average rate of change of f(x)f(x) from x1=9x_{1}=-9 to x2=1x_{2}=-1, rounded to the nearest hundred. f(x)=8x+6 f(x)=\sqrt{-8 x+6}

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Problem 14652

Classify these mixtures as homogeneous or heterogeneous: 1. vegetable soup 2. tea 3. tea with ice and lemon 4. seawater 5. fruit salad.

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Problem 14653

Classify lemon-flavored water as a homogeneous or heterogeneous mixture.

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Problem 14654

Given triangles with AB=20AB=20, DE=15DE=15, and BC=kBC=k. Are they similar? Find FEFE in terms of kk, and if FE=12FE=12, what is kk? Explain angle congruence and similarity differences.

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Problem 14655

MY NOTES TANAPCALCBR10 4.4.010.MI. ASK YOUR TEACHER PRACTICE ANOTHER
Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) g(x)=x2+4x+7g(x)=-x^{2}+4 x+7 maximum \square minimum \square Need Help? Read It Master It

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Problem 14656

9. The graph of f(x)=axn+bx4+cx3+dx2+ex+pf(x) = ax^n + bx^4 + cx^3 + dx^2 + ex + p is shown below. Determine whether each of the following statements is true or false.
a>0a > 0nn is an odd number. ③ p=0p = 0n6n \ge 6x=0x = 0 has a multiplicity of 2 ⑥ yy \to \infty as xx \to -\infty

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Problem 14657

14. n=1(1)nn+1\sum_{n=1}^{\infty} \frac{(-1)^n}{\sqrt{n+1}}

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Problem 14658

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. f(x)=45x+2x25x3f(x)=4-5 x+2 x^{2}-5 x^{3} Falls to the left, falls to the right Rises to the left, rises to the right Rises to the left, falls to the right Falls to the left, rises to the right Falls to the left

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Problem 14659

13. In a certain investigation, 460 persons were involved in the study, and based on an inquiry on their age, it was known that 75%75 \% of them were 22 or more years. The following frequency distribution shows the age composition of the persons under study. \begin{tabular}{|l|c|c|c|c|c|c|c|c|} \hline Mid age in years & 13 & 18 & 23 & 28 & 33 & 38 & 43 & 48 \\ \hline No. of persons & 24 & f1\mathrm{f}_{1} & 90 & 122 & f2\mathrm{f}_{2} & 56 & 20 & 33 \\ \hline \end{tabular} (a) Find the value of f1f_{1} and f2f_{2} (c) Find the value of the 3rd 3^{\text {rd }} quartile. monls to svit yne svī ?abondsm

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Problem 14660

Question:
1. Using the data provided in the table, calculate the net cash flow from operating activities for Baker Corporation in 2015.
2. If Baker Corporation reduces its inventory by an addition $50,000\$ 50,000, how will this change impact the operating cash flow?
3. Based on the information in the investment activities section, determine the total cash flow impact of the investment in fixed assets.
4. If the company increases its dividend payments by $20,00\$ 20,00 calculate the new net cash flow from financing activities.

Considering the changes in inventory reduction a dividend payments mentioned above, compute the adjust .total net cash flow for Baker Corporati
Cash flow from operating activities Net profits after taxes \$180
Depreciation 100
Decrease in accounts receivable 100
Decrease in inventories 300
Increase in accounts payable 200
Decrease in accruals (100)4(100)^{4}
Cash provided by operating activities \$780
Cash flow from investment activities Increase in gross fixed assets (\$300)
Changes in equity investments in other firms 0
Cash provided by investment activities (\$300)
Cash flow from financing activities Decrease in notes payable (\$100)
Increase in long-term debt 200
Changes in stockholders' equity b{ }^{b} 0
Dividends paid ( 80 )
Cash provided by financing activities $20\$ 20
Net increase in cash and marketable securities $500\$ 500 a{ }^{a} As is customary, parentheses are used to denote a negative number, which in this case is a cash outflow. b{ }^{b} Retained earnings are excluded here because their change is actually reflected in the combination of the "Net profits after taxes" and "Dividends paid" entries.

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Problem 14661

Points: 0 of 1 Save
Determine where the function is (a) increasing; (b) decreasing; and (c) determine where relative extrema occur. Do not sketch the graph. y=x332x2+12x3y=-\frac{x^{3}}{3}-2 x^{2}+12 x-3 (a) For which interval(s) is the function increasing? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The function is increasing on (6,2)(-6,2). (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never increasing. (b) For which interval(s) is the function decreasing? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The function is decreasing on \square . (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never decreasing.

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Problem 14662

6. Grundwissen:
Eine Vogelfeder schwebt mit konstanter Geschwindigkeit nach unten. Welche Kräfte wirken hier auf die Feder? Kurze Begründung.
Ich wünsche dir viel Erfolg und eine frohe Weihnachtszeit! Gr

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Problem 14663

2. Визначить тип точок розриву функції f(x)=1xarctg11xf(x) = \frac{1}{x} \text{arctg} \frac{1}{1-x}, xRx \in R на DfD_f.

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Problem 14664

3. Дослідить функцію f(x)=x2+1xf(x) = \frac{x^2 + 1}{\sqrt{x}} на рівномірну неперервність на множині X=(10,+)X = (10, +\infty)

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Problem 14665

8.2 (1 punkt) Wyjaśnij, co charakteryzowało romantyczne spojrzenie na młodość. Nie cytuj.

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Problem 14666

In Exercises 15-20, write a rule for gg and then graph each function. Describe the graph of gg as a transformation of the graph of f\boldsymbol{f}. Example 3
15. f(x)=x4+1,g(x)=f(x+2)f(x)=x^{4}+1, g(x)=f(x+2)
16. f(x)=x63x3+2,g(x)=f(x)3f(x)=x^{6}-3 x^{3}+2, g(x)=f(x)-3

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Problem 14667

fotte-Mocklentburg Schools 7.The image shows quadrilateral ABCDA B C D. a. A square is a quadrilateral with four equal sides and four 90 -degree angles. Is quadrilateral ABCDA B C D a square? Explain or show your reasoning. b. Find the perimeter of ABCDA B C D. Explain or show your reasoning. c. Find the area of ABCDA B C D. Explain or show your reasoning.

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Problem 14668

Men's Pulse Rates 62 62 68 72 58 89 84 75 77 73 Full data set 88 55 89 65 70 55 82 60 74 79 51 58 65 65 65 47 66 59 67 58 68 80 68 63 68 70 76 64 49 59

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Problem 14669

Sample Response: Identify the unit rate as 0.75 miles per 1 minute. Since there are 60 minutes in an hour, multiply 0.75 time 60 to find how far the car travels in one hour. Which facts did you include in your answer? Check all that apply. The unit rate is 0.75 miles per minute. There are 60 minutes in an hour. You can multiply 0.75 by 60 to find how far the car travels in one hour.

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Problem 14670

Exercice 1(6pts)
1. Soit ff l'application de l'ensemble {1,2,3,4}\{1,2,3,4\} dans lui-même définie par: {f(1)=3f(2)=0f(3)=1f(4)=4\left\{\begin{array}{l} f(1)=3 \\ f(2)=0 \\ f(3)=1 \\ f(4)=4 \end{array}\right. a) Déterminer f1(A)f^{-1}(A) lorsque A={2},A={1,4},A={3}A=\{2\}, A=\{1,4\}, A=\{3\}. b) ff est-elle injective ?surjective?bijective?
2. Soit ff l'application de R\mathbb{R} dans R\mathbb{R} définie par f(x)=x2f(x)=x^{2} a) Déterminer f(A)f(A) lorsque A={2},A={2}A=\{2\}, A=\{-2\}. Que peut-on conclur? b) Déterminer f1(A)f^{-1}(A) lorsque A={4},A=[1,4]A=\{4\}, A=[1,4].

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Problem 14671

8. What can be said about the validity of the p-value computed in a t-test when the normal probability plot clearly does not support the assumption of normality? If the normal probability plot shows that the normality assumptions isn't met, the p-value from t-test is invalid, we can not trust it to accurately reflect the probability of observing our results if there's no real difference between the groups.

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Problem 14672

Time Watching TV vs. Grade

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Problem 14673

1 Find the slant asymptote of the function f(x)=x2+4x8x+3f(x)=\frac{x^{2}+4 x-8}{x+3} ?

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Problem 14674

f(x)={2x+3si x<212x2si x2f(x) = \begin{cases} -2x+3 & \text{si } x < 2 \\ \frac{1}{2}x - 2 & \text{si } x \ge 2 \end{cases}
1. ff est-elle continue sur R\mathbb{R}?
2. ff est dérivable sur R\mathbb{R}?

Exercice 2 (8 pts) :
Partie A : Étude d'une fonction auxiliaire Soit gg la fonction définie sur R\mathbb{R} par g(x)=(x+2)ex42g(x) = (x+2)e^{x-4} - 2
1. Déterminer la limite de gg en ++\infty.
2. Démontrer que la limite de gg en -\infty vaut 2-2.
3. On admet que la fonction gg est dérivable sur R\mathbb{R} et on note gg' sa dérivée. Calculer g(x)g'(x) pour tout réel xx puis dresser le tableau de variations de gg.
4. Démontrer que l'équation g(x)=0g(x) = 0 admet une unique solution α\alpha sur R\mathbb{R}.
5. En déduire le signe de la fonction gg sur R\mathbb{R}.
6. À l'aide de la calculatrice, donner un encadrement d'amplitude 10310^{-3} de α\alpha.

Partie B : Étude de la fonction Soit ff la fonction définie sur R\mathbb{R} par f(x)=x2x2ex4f(x) = x^2 - x^2e^{x-4}
1. Résoudre l'équation f(x)=0f(x) = 0 sur R\mathbb{R}.
2. On admet que la fonction ff est dérivable sur R\mathbb{R} et on note ff' sa fonction dérivée. Montrer que, pour tout réel xx, f(x)=xg(x)f'(x) = -xg(x) où la fonction gg est celle définie à la partie A.
3. Étudier les variations de la fonction ff sur R\mathbb{R}.
4. Démontrer que le maximum de la fonction ff sur [0;+[[0 ; +\infty[ est égal à α3α+2\frac{\alpha^3}{\alpha+2}.

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Problem 14675

Given y=xx1y = \frac{x}{x-1} and x>1x > 1, which of the following is a possible value of yy?
A. 1.9-1.9 B. 0.9-0.9 C. 0.00.0 D. 0.90.9 E. 1.91.9

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Problem 14676

Determining Concavity In Exercises 5-16, determine the open intervals on which the graph of the function is concave upward or concave downward.
5. f(x)=x24x+8f(x)=x^{2}-4 x+8
6. g(x)=3x2x3g(x)=3 x^{2}-x^{3}
7. f(x)=x43x3f(x)=x^{4}-3 x^{3}
8. h(x)=x55x+2h(x)=x^{5}-5 x+2
9. f(x)=24x2+12f(x)=\frac{24}{x^{2}+12}
10. f(x)=2x23x2+1f(x)=\frac{2 x^{2}}{3 x^{2}+1}

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Problem 14677

A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. The student writes this proportion: 46=2416\frac{4}{6}=\frac{24}{16}
Explain the error in the student's work

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Problem 14678

144y2x2=1144y^2 - x^2 = 1
Graph the hyperbola. Choose the correct graph below.
The foci is/are at the point(s) \square. (Type an ordered pair. Type an exact answer, using radicals as needed. Use a comma to separate answers as needed.)
The equation of the asymptote with the positive slope is \square. The equation of the asymptote with the negative slope is \square. (Simplify your answers. Use integers or fractions for any numbers in the equation.)

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Problem 14679

Exit Ticket: f(x)=(x3)2(x+2)f(x)=(x-3)^{2}(x+2)

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Problem 14680

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.75 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 20. Complete parts (a) through (c) below. c. Is a result of 18 peas with green pods a result that is significantly high? Why or why not?
The result \square significantly high because 18 peas with green pods is \square \square peas.

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Problem 14681

Answer the following questions for the graph of y=5logxy=5 \log x. A. What is the x -intercept? Write in point form. Write DNE if the point does not exist. \square B. What is the yy-intercept? Write in point form. Write DNE if the point does not exist. \square C. Draw the graph. There is a large margin for error for the graph. You just need the general shape of the graph.

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Problem 14682

4. An appropriate fiscal policy (سياسة حكومية مناسبة) for severe demand-pull inflation is: A. An increase in government spending. B. Depreciation of the dollar. C. A reduction in interest rates. D. A tax rate increase.

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Problem 14683

xx | yy | uu | vv | ww | tt | mm | nn ---|---|---|---|---|---|---|--- 1.0 | 7.8 | 1.0 | 10.0 | 1.0 | 2.7 | 1.0 | 7.6 2.0 | 5.3 | 2.0 | 9.0 | 2.0 | 4.3 | 2.0 | 8.9 3.0 | 10.1 | 3.0 | 8.0 | 3.0 | 3.9 | 3.0 | 6.7 4.0 | 5.8 | 4.0 | 7.0 | 4.0 | 4.8 | 4.0 | 5.4 5.0 | 2.0 | 5.0 | 6.0 | 5.0 | 4.3 | 5.0 | 8.2 6.0 | 5.1 | 6.0 | 5.0 | 6.0 | 7.1 | 6.0 | 5.0 7.0 | 9.3 | 7.0 | 4.0 | 7.0 | 6.1 | 7.0 | 4.4 8.0 | 3.4 | 8.0 | 3.0 | 8.0 | 7.7 | 8.0 | 7.0 9.0 | 9.2 | 9.0 | 2.0 | 9.0 | none | 9.0 | 6.2 10.0 | 6.6 | 10.0 | 1.0 | 10.0 | none | 10.0 | none
Figure 1 Figure 2
Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population.

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Problem 14684

The following statement applies to questions 4 and 5. Figure 1 shows four positions (1, 2, 3, 4) of a ball at equal intervals of time (Δt=t4t3=t3t2=t2t1\Delta t = t_4 - t_3 = t_3 - t_2 = t_2 - t_1) after the ball was tossed vertically upward. Ignore air resistance. Use upward as the positive direction. Fill in the circle that corresponds to your answer for each question.
4. [5 pts] The velocity at position 3 is _______ than the velocity at position 2. less than equal to greater than
5. [5 pts] The acceleration at position 3 is _______ than the acceleration at position 1. less than equal to greater than
Figure 1

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Problem 14685

Question 28 (1 point) Does the following statement demonstrate inductive reasoning or deductive reasoning?
For the pattern 4, 13, 22, 31, 40, the next term is 49.

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Problem 14686

Which of the following statements is FALSE? Area under the curve y=f(x)y=f(x) can be equal to 0 . abf(x)dx\int_{a}^{b} f(x) d x could be positive or negative if f(x)>0f(x)>0 between x=ax=a and x=bx=b. 010f(x)dx\int_{0}^{10} f(x) d x could be positive, negative, or zero depending on what the function is. The area between the xx-axis and a function is always non-negative.

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Problem 14687

1. Drag and drop the correct domain and range for each of the graphs below: A. B. C. D. Domain: 1 Range: 2 Domain: 3 Range: 4 Domain: 5 Range: 6 Domain: 7 Range: 8

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Problem 14688

rroportions Assignment Active
Interpreting a Proportion
A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to inclur and 6 potatoes. Given that the proportion 13=26\frac{1}{3}=\frac{2}{6} represents the situation, which of these statements are true? Check all that apply. The numerators represent the number of potatoes. The numerators represent the pounds of beef. The denominators represent the pounds of beef. The denominators represent the number of potatoes.

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Problem 14689

7) y=2(x4)26y = -2(x - 4)^2 - 6
8) y=(x4)2+4y = (x - 4)^2 + 4

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Problem 14690

2) Determine how much of the total loan payment applies toward principal and how much applies toward interest for a student loan of \$38,156 at a fixed APR of 8\% for 11 years. A) \$38,156 pays off the principal and \$19,321.94 represents interest payments. B) \$38,156 pays off the principal and \$19,398.46 represents interest payments. C) \$38,156 pays off the principal and \$19,362.76 represents interest payments. D) \$38,156 pays off the principal and \$19,338.95 represents interest payments.

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Problem 14691

Find the vertical asymptotes. g(r)=r7r22r8g(r)=\frac{r-7}{r^{2}-2 r-8}
Enter your answers in increasing order. r=r=\begin{array}{l} r= \\ r= \end{array}

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Problem 14692

f(x)=x2(x+9)f(x) = x^2(x+9) x=9x = -9 x=0x = 0 2

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Problem 14693

2. Determine the phase shift and the vertical displacement with respect to y=cosxy=\cos x for each function. Sketch a graph of each function. a) y=cos(x30)+12y=\cos \left(x-30^{\circ}\right)+12 b) y=cos(xπ3)y=\cos \left(x-\frac{\pi}{3}\right) c) y=cos(x+5π6)+16y=\cos \left(x+\frac{5 \pi}{6}\right)+16 d) y=4cos(x+15)+3y=4 \cos \left(x+15^{\circ}\right)+3 e) y=4cos(xπ)+4y=4 \cos (x-\pi)+4 f) y=3cos(2xπ6)+7y=3 \cos \left(2 x-\frac{\pi}{6}\right)+7

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Problem 14694

Consider a U.S. economy consisting of 4 sectors: (1) Textiles, (2) Apparel, (3) Farms, and (4) Wholesale Trade. The following (IA)1(I-A)^{-1} matrix was computed from an input-output table for this economy: (IA)1=[1.21970.17230.00060.00380.01341.07000.00110.08750.01231.20470.00220.00500.00070.00341.0413](I-A)^{-1}=\left[\begin{array}{cccc} 1.2197 & 0.1723 & 0.0006 & 0.0038 \\ 0.0134 & 1.070 & 0 & 0.0011 \\ 0.0875 & 0.0123 & 1.2047 & 0.0022 \\ 0.0050 & 0.0007 & -0.0034 & 1.0413 \end{array}\right]
What is the interpretation of the 3,2 -entry of (IA)1(I-A)^{-1} ? a. It takes $0.0123\$ 0.0123 worth of goods from the Farms sector to produce $1\$ 1 worth of Apparel sector goods. b. The Farms sector must increase production by $0.0123\$ 0.0123 in order to meet a $1\$ 1 increase in demand in the Apparel sector. c. The Apparel sector must increase production by $0\$ 0 in order to meet a $1\$ 1 increase in demand in the Farms sector. d. It takes $0\$ 0 worth of goods from the Apparel sector to produce $1\$ 1 worth of the Farms sector goods.

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Problem 14695

f(x)=cxf(x) = c - x
What do all members of the family of linear functions f(x)=cxf(x) = c - x have in common?
All members of the family of linear functions f(x)=cxf(x) = c - x have graphs that are lines with slope \_\_\_\_\_\_\_\_\_\_\_\_ and y-intercept \_\_\_\_\_\_\_\_\_\_\_\_.
Sketch several members of the family.
c=2c = 2 c=1c = 1 c=0c = 0 c=1c = -1 c=2c = -2
c=2c = 2 c=1c = 1 c=0c = 0 c=1c = -1 c=2c = -2
c=2c = 2 c=1c = 1 c=0c = 0 c=1c = -1 c=2c = -2
c=2c = -2 c=1c = -1 c=0c = 0 c=1c = 1 c=2c = 2

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Problem 14696

What is the least possible degree of the polynomial graphed above?

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Problem 14697

Consider the following function. f(x)=x243f(x) = \frac{x^2}{4} - 3
Step 1 of 2: Graph the original function by indicating how the more basic function has been shifted, reflected, stretched, or compressed.

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Problem 14698

f(x)=x2ex5f(x) = x^2 e^x - 5
Find the x-values of all points where the function has any relative extrema. Find the value(s) of any relative extrema.
Select the correct choice below and, if necessary, fill in any answer boxes within your choice.
A. There are no relative minima. The function has a relative maximum of \qquad at x=x = \qquad. (Use a comma to separate answers as needed. Type exact answers in terms of ee.)
B. The function has a relative maximum of \qquad at x=x = \qquad and a relative minimum of \qquad at x=x = \qquad. (Use a comma to separate answers as needed. Type exact answers in terms of ee.)
C. There are no relative maxima. The function has a relative minimum of \qquad at x=x = \qquad. (Use a comma to separate answers as needed. Type exact answers in terms of ee.)
D. There are no relative extrema.

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Problem 14699

Consider the following rational function. f(x)=2x5f(x) = \frac{-2}{x-5} Step 1 of 3: Find equations for the vertical asymptotes, if any, for the function. Answer (opens in new window) 2 Points Separate multiple equations with a comma. Selecting a button will replace the entered answer value. The value of the button is used instead of the value in the none

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Problem 14700

SELECT ALL of the expressions that are a factor of the quadratic? x2+2x15x^{2}+2 x-15 (x+5)(x+5) (x+3)(x+3) (x+15)(x+15) (x5)(x-5) (x15)(x-15)

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