Equation

Problem 11801

Suppose that x4+y4=82x^{4}+y^{4}=82. (1) Use the method of implicit differentiation to find dydx\frac{d y}{d x}. dydx=\frac{d y}{d x}= \square (2) Find the equation of the tangent line at the point (x,y)=(1,3)(x, y)=(-1,3).
The equation is y=y= \square

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Problem 11802

Example Write chemical equations showing the dissociation of MgSO4(aq)\mathrm{MgSO}_{4}(\mathrm{aq}) and Pb(NO3)2(aq)\mathrm{Pb}\left(\mathrm{NO}_{3}\right)_{2}(\mathrm{aq}).

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Problem 11803

6. Fill in the blanks.
1 foot == \qquad inches
1 yard = \qquad feet
1 hour = \qquad minutes
1 day = \qquad hours
1 year = \qquad days
1 year = \qquad weeks
1 dollar = \qquad cents == \qquad dimes == \qquad quarters
1 gallon = \qquad pints
1 gallon = \qquad quarts
1 pound = \qquad ounces

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Problem 11804

(1 point)
Use Newton's method to find a solution of the equation: log(x)=42x\log (x)=4-2 x. Start with x0=3x_{0}=3. x1=x_{1}= \square x2=x_{2}= \square x3=x_{3}= \square Note: remember WeBWork can perform a lot of tedious computations for you. Copying and pasting your answer from a previous entry can help you input the next entry without having to do too much simplification on your own.

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Problem 11805

5. If Jen puts $1,000\$ 1,000 in a savings account with an annual interest rate of 5%5 \%, how much interest will she earn in two years? A. $50\$ 50 B. $75\$ 75 C. $100\$ 100 D. $150\$ 150

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Problem 11806

8 Which of the following equations represents a line without a yy-intercept? (a) y=4y=4 (b) x=4x=-4 (c) x+y=2x+y=2 (d) y=3xy=3 x

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Problem 11807

12 Which line is parallel to the line y=2x3y=-2 x-3 ? (a) y=2x+2y=-2 x+2 c. y=2x+2y=2 x+2 (b) y=2x2y=2 x-2 (d) y=0.5x2y=-0.5 x-2

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Problem 11808

Carla Vista Corporation was organized on January 1,2027. It is authorized to issue 23,000 shares of 5%,$505 \%, \$ 50 par value preferred stock and 458,000 shares of no-par common stock with a stated value of $2\$ 2 per share, The following stock transactions were completed during the frist year.
Jan. 10 Issued 69,000 shares of common stock for cash at $5\$ 5 per share. Mar. 1 Issued 11,400 shares of preferred stock for cash at $57\$ 57 per share. May 1 Issued 114,000 shares of common stock for cash at $8\$ 8 per share. Sept. 1 Issued 4,800 shares of common stock for cashat $4\$ 4 per share. Nov. 1 Issued 2,800 shares of preferred stock for cash at $55\$ 55 per share. (a)
Your Answer Correct Answer
Your answer is correct.
Prepare a tabular summary to record the transactions. (If a transoction couses a decrease In Assets, Liabivilies or Stochholders' Equity. place a negative sign (or parentheses) in front of the amount entered for the particular Asset, Uability or Equity item that was neduced.). eTextbook and Media Solution Attempts: 3 of 3 used (b)
Prepare the paid-tic capital portion of the stockholders equity section at December 31, 2027. CARLA vista corporation Partial Balance Sheet December 31, 2027 \square \square \square \square 3 \square \square \square \square \square

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Problem 11809

Write the sentence as an equation. the product of 189 and hh equals mm
Type a slash ( / ) if you want to use a division sign. \square Submit

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Problem 11810

Solve the formula for the given variable. T=fmgm;m (Engineering) m=\begin{array}{l} T=f m-g m ; m \quad \text { (Engineering) } \\ m=\square \end{array}
Need Help? Read It Watch It

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Problem 11811

5(3x+4)+2=375(3 x+4)+2=37

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Problem 11812

Solve the separable differential equation dydx=8y\frac{d y}{d x}=-8 y, and find the particular solution satisfying the initial condition y(0)=9y(0)=9. y(x)=y(x)= \square

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Problem 11813

48 of 56 The population of Greenville increased by 7\% from 2015 to 2016. If the 2016 population is kk times the 2015 population, what is the value of kk ? A) 0.07 B) 0.7 C) 1.07 D) 1.7

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Problem 11814

If 4x4=112|4 x-4|=112, what is the positive value of x1x-1 ?

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Problem 11815

a. At a meeting of the International Astronomical Society, 45\% of the attendees are females and 30%30 \% are teachers. Given that an attendee is a teacher, 55%55 \% are females. What is the probability that a randomly selected attendee is both a teacher and a female?

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Problem 11816

Gabrielle knows that a fir tree that is 8 feet tall casts a shadow that is 15 feet long. She wants to calculate the height of a nearby plum tree. If its shadow is 30 feet long, how tall is the plum tree?
Write your answer as a whole number or a decimal. Do not round. 新 \square feet Submit

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Problem 11817

For the demand equation p=14004qp=1400-4 q, verify that demand is elastic and total revenue is increasing for 0<q<1750<q<175. Verify that demand is inelastic and total revenue is decreasing for 175<q<350175<q<350.
Begin by finding η\eta in terms of qq. The formula for η\eta is η=pqdqdp\eta=\frac{p}{q} \cdot \frac{d q}{d p}. Since p=14004q,dqdp=p=1400-4 q, \frac{d q}{d p}= \square (Simplify your answer.)

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Problem 11818

[*].] An ash tree is 9 meters tall and its shadow is 12 meters long. A nearby lemon tree is 6 meters tall. How long is the lemon tree's shadow? ) Write your answer as a whole number or a decimal. Do not round. \& \square meters Submit

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Problem 11819

Simplify the final answer as much as possible. Solve the equation sin4θ+sin2θ=0\sin 4 \theta+\sin 2 \theta=0 on the interval 0θ<2π0 \leq \theta<2 \pi. Answers must be exact.

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Problem 11820

(I) In pedaling a bicycle uphill, a cyclist exerts a downward force of 420 N during each stroke. If the diameter of the circle traced by each pedal is 36 cm , calculate how much work is done in each stroke.

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Problem 11821

In Exercises 47-60, solve the initial value problem.
47. dydx=x3,y(0)=4\frac{d y}{d x}=x^{3}, y(0)=4

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Problem 11822

Fill in the blank to make the two fractions equivalent. 24=58\frac{\square}{24}=\frac{5}{8}

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Problem 11823

Solve for xx. 2(3x6)=122(3 x-6)=12
Simplify your answer as much as possible. x=x=

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Problem 11824

Solve the proportion: 9.75: x::12.75:4.25x:: 12.75: 4.25

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Problem 11825

02/11/2024
Applying Bayes Rule P(AB)=P(BA)P(A)P(BA)P(A)+P(BA)P(A)P(A \mid B)=\frac{P(B \mid A) P(A)}{P(B \mid A) P(A)+P(B \mid \sim A) P(\sim A)} A=A= you have the flu, B=B= you just coughed Assume: P( flu )=0.05P( cough  flu )=0.80P( cough flu)=0.2\begin{array}{l} P(\text { flu })=0.05 \\ P(\text { cough } \mid \text { flu })=0.80 \\ P(\text { cough } \mid \sim f l u)=0.2 \end{array} what is P (flu | cough)?
Bayesian classifiers -This is where the "naïve" in "naïve Bays" comes in: if we make naïve assumptions about the generative model for each label, we can find a rough approximation of the generative model for each class, and then proceed with the Bayesian classification. - Different types of naive Bayes classifiers rest on different naïve assumptions about the data. - The naïve Bayes classification algorithm was built on the assumption of independent events, to avoid the need to compute there messy conditional probabilities. - If everything was independent, the world of probability would be a much simpler place.

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Problem 11826

15. The mean length of six rods is 442 cm44 \cdot 2 \mathrm{~cm}. The mean length of five of them is 46 cm . How long is the sixth rod?

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Problem 11827

Given (a,b,c,d)(a, b, c, d) is a set of integers and all of them are greater than 6 . Find the number of solution set(s)\operatorname{set}(\mathrm{s}) of a+b+c+d=50a+b+c+d=50.

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Problem 11828

A. 101.25 B. 42 C. 110.25
3. Хоёр тооны ялгавар 5-тай тэнцүү бөгөөд эдгээр тоонууд 13:14\frac{1}{3}: \frac{1}{4} гэж харьцдаг бол бага тоог ол. D. 18 E. 15 A. 20 B. 16 C. 24 C. 2 D. 1 E. 1.5

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Problem 11829

5. (2x3):(x+2)=5:3(2 x-3):(x+2)=5: 3 бол A. 19 C. 14 D. 5 E. 11 x=x= ? B. 1911\frac{19}{11}

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Problem 11830

Впишите правильный ответ. Сторона равностороннего треугольника равна 838 \sqrt{3}. Найдите радиус окружности, описанной около этого треугольника.

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Problem 11831

Question 25: The intercept on xx-axis of the line 4x3y=164 x-3 y=16 is
Single-digit integer (-9 to 9)
Type your answer here

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Problem 11832

Question 26: If nP3=4nC5{ }^{n} P_{3}=4^{n} C_{5}, then nn equals
Single-digit integer (-9 to 9)
Type your answer here

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Problem 11833

Find yy^{\prime \prime} by implicit differentiation. 2x3+5y3=42 x^{3}+5 y^{3}=4

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Problem 11834

20. If one root of the equation ax2+bx+c=0a x^{2}+b x+c=0 is the square of the other, prove that b3+a2c+ac2=3abcb^{3}+a^{2} c+a c^{2}=3 a b c
21. If the ratios of the roots of the equation x2+px+q=0x^{2}+p x+q=0 is equal to the ratios of the roots of x2+mx+n=0x^{2}+m x+n=0, prove that np2=qm2\mathrm{np}^{2}=\mathrm{qm}^{2}.

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Problem 11835

The law of sines The law of sines says that if a,ba, b, and cc are the sides opposite the angles A,BA, B, and CC in a triangle, then sinAa=sinBb=sinCc.\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c} .
Use the accompanying figures and the identity sin(πθ)=\sin (\pi-\theta)= sinθ\sin \theta, if required, to derive the law.

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Problem 11836

year 3 ? 2) A machine is, purchased af P10,200\mathrm{P} 10,200 with an expected salvage value of P1,200 at the end of it $\$ economic life of 8 years. If money is worth 6\% per annum, determine the book value of the machine at the end of 4 years using double declining balance method.

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Problem 11837

Question 6 (a) Form a quadratic equation whose roots are 3123 \frac{1}{2} and 213-2 \frac{1}{3}. Express your answer in the form ax2+bx+c=0a x^{2}+b x+c=0, where a,b,ca, b, c are integers. (b) Form an equation whose roots are twice those in previous part.

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Problem 11838

Find the slope-intercept equation of the line that has the given characteristics. Slope 9.5 and yy-intercept (0,5)(0,-5)
The slope-intercept equation y=y= \square (Use integers or decimals for any numbers in the expression.)

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Problem 11839

Find an equation of the line having the given slope and containing the given point. m=5,(6,0)m=-5,(6,0)
The equation of the line is y=y= \square (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.)

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Problem 11840

42. До гіперболи належить M0(5,3)M_{0}(-5,3), а ексцентриситет гіперболи дорівнює 2\sqrt{2}. Скласти канонічне рівняння гіперболи та побудувати ії.
43. Скласти рівняння і побудувати гіперболу, якщо вона має асимптоти y=±23xy= \pm \frac{2}{3} x і їй належить точка M1(9/2,1)M_{1}(9 / 2,-1).

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Problem 11841

Solve Problems 26-33 for x exactly without using a calculator.
26. log(x+5)=log(2x3)\log (x+5)=\log (2 x-3)
27. 2ln(x1)=ln(x25)2 \ln (x-1)=\ln \left(x^{2}-5\right)
28. 9x1=31+x9^{x-1}=3^{1+x}
29. e2x=ex23e^{2 x}=e^{x^{2}-3}
30. 2x2ex=3xex2 x^{2} e^{x}=3 x e^{x}
31. log1β9=x\log _{1 \beta} 9=x
32. logx8=3\log _{x} 8=-3
33. log9x=32\log _{9} x=\frac{3}{2}
42. Find the domain of each function: (A) f(x)=2x5x2x6f(x)=\frac{2 x-5}{x^{2}-x-6} (B) g(x)=3x5xg(x)=\frac{3 x}{\sqrt{5-x}}

In Problems 57-59, find the equation of any horizontal asymptote.
57. f(x)=5x+4x23x+1f(x)=\frac{5 x+4}{x^{2}-3 x+1}
58. f(x)=3x2+2x14x25x+3f(x)=\frac{3 x^{2}+2 x-1}{4 x^{2}-5 x+3}
53. Explain how the graph of m(x)=x4m(x)=-|x-4| is related to the graph of y=xy=|x|.
54. Explain how the graph of g(x)=0.3x3+3g(x)=0.3 x^{3}+3 is related to the graph of y=x3y=x^{3}.
19. Complete the square and find the standard form for the quadratic function f(x)=x2+4xf(x)=-x^{2}+4 x

Then write a brief verbal description of the relationship between the graph of ff and the graph of y=x2y=x^{2}.

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Problem 11842

Solve Problems 26-33 for x exactly without using a calculator.
26. log(x+5)=log(2x3)\log (x+5)=\log (2 x-3)
27. 2ln(x1)=ln(x25)2 \ln (x-1)=\ln \left(x^{2}-5\right)
28. 9x1=31+x9^{x-1}=3^{1+x}
29. e2x=ex23e^{2 x}=e^{x^{2}-3}
30. 2x2ex=3xex2 x^{2} e^{x}=3 x e^{x}
31. log1β9=x\log _{1 \beta} 9=x
32. logx8=3\log _{x} 8=-3
33. log9x=32\log _{9} x=\frac{3}{2}

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Problem 11843

11 Given $250,000\$ 250,000 today, determine the equivalent series of 10 annual payments which could be generated beginning in 1 year. Assume interest is 12 percent compounded annually.

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Problem 11844

Convert the polar equation to a rectangular equation. (10.7, Example 5) θ=5π6\theta=\frac{5 \pi}{6}

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Problem 11845

The equation x2+(m3)x+m=0x^{2}+(m-3) x+m=0 has two real and distinct roots. Determine the range of values for mm.

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Problem 11846

x234x+c=0x^{2}-34 x+c=0
In the given equation, cc is a constant. The equation has no real solutions if c>nc>n. What is the least possible value of nn ?

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Problem 11847

Find dydx\frac{d y}{d x} by implicit differentiation. 3x4y5x+y2=93 x^{4} y^{5}-x+y^{2}=9
Select the correct choice below and fill in the answer box(es) to complete your choice. A. dydx=\frac{d y}{d x}= \square with \square 0\neq 0 B. dydx=\frac{d y}{d x}= \square for all real values of xx and yy

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Problem 11848

ll expresso 15:08 53 \%
FASCICULE TS2. KAOLACK COMMU... σ\sigma Préciser le référentiel d'étude, T Faire l'inventaire des forces extérieures agissant sur le système, (T) Faire si possible un schéma où sont représentées les forces, (T) Appliquer les différents théorèmes : - Théorème du centre d'inertie (T.C.I) : F=ma\sum \vec{F}=m \vec{a} - Théorème de l'énergie cinétique (T.E.C) : ΔEC=W(F)\Delta E_{C}=\sum W(\vec{F})
EXERCICE 1: Détermination du centre d'inertie d'un système Dans une molécule d'eau H2O\mathrm{H}_{2} \mathrm{O} la distance moyenne entre l'atome d'oxygène et chaque atome d'hydrogène est de 9,60.1011 m9,60.10^{-11} \mathrm{~m}. l'écart angulaire formé par les deux directions OH est voisin de 105105^{\circ}. Déterminer la position du centre d'in ertie de la molécule. On donne : M(O)=16 g/mol;M(H)=1 g/mol\mathrm{M}(\mathrm{O})=16 \mathrm{~g} / \mathrm{mol} ; \mathrm{M}(\mathrm{H})=1 \mathrm{~g} / \mathrm{mol} EXERCICE 2: chute libre Un projectile de masse m=50 g\mathrm{m}=50 \mathrm{~g} est lancé vers le haut à partir d'un point A situé à une hauteur h=1 m\mathrm{h}=1 \mathrm{~m} au dessus du sol avec une vitesse v0undefined\overrightarrow{v_{0}} parallèle à g\vec{g} et de norme V0V_{0} =10 m/s.g=10 m s1=10 \mathrm{~m} / \mathrm{s} . \mathrm{g}=10 \mathrm{~m} \cdot \mathrm{~s}^{-1} 1) - Quelle est la nature du mouvement du projectile? 2) - Ecrire les équations du mouvement 3) - Quelle est la hauteur maximale atteinte par rapport au sol? 4) - Calculer la durée : a)- De la montée b)- Du vol 5)- Quelle est la vitesse de la bille vs\mathrm{v}_{\mathrm{s}} du projectile lorsqu'elle touche le sol.
EXERCICE 03: Plan incliné Un mobile de masse m=20 kg\mathrm{m}=20 \mathrm{~kg} lancé avec une vitesse de norme v0=4 m s1v_{0}=4 \mathrm{~m} \cdot \mathrm{~s}^{-1}, monte, en mouvement de translation rectiligne, le long d'une ligne de plus grande pente d'un plan incliné d'un angle α=20\alpha=20^{\circ} avec l'horizontal (g=9,8 m s2)\left(g=9,8 \mathrm{~m} \cdot \mathrm{~s}^{-2}\right). Les forces de frottement sont équivalente à une force opposée à la vitesse, de norme supposée constante f=40 Nf=40 \mathrm{~N}. 1) - Etablir l'équation horaire du mouvement du mobile. 2) - Déterminer la distance parcourue par le mobile avant qu'il n'arrête de monter. 3)- Arrivé au sommet de sa trajectoire, le mobile redescend. Indiquer sur un schéma les forces extérieures appliquées à ce mobile au cours de la descente. Qu'y a-t-il de changé par rapport à la montée ? 4) - Calculer la vitesse avec laquelle le mobile repasse par sa position initiale. Quelle serait cette vitesse si les frottements étaient négligeables? Eualuations standardisés de Kaclack commune/JS2/2019-2020 Page 13
EXERCICE 04 : Systèmes articulés Sur la figure ci-contre : - A est un solide de masse mA\mathrm{m}_{\mathrm{A}}, pouvant glisser le long d'un plan incliné suivant la ligne de plus grande pente OC. - B\quad B est un solide de masse mBm_{B}, relié à AA par un fil de masse négligeable passant par la gorge d'une poulie K de masse également négligeable. A t=0t=0, le système est libéré sans vitesse, le solide A partant du point O . Tous les frottements sont négligeables.

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Problem 11849

Find dydx\frac{d y}{d x} by implicit differentiation. (1+e3x)2=9+ln(2x+y),y2x\left(1+e^{3 x}\right)^{2}=9+\ln (2 x+y), y \neq-2 x
Select the correct choice below and fill in the answer box(es) to complete your choice. A. dydx=\frac{d y}{d x}= \square with \square 0\neq 0 B. dydx=\frac{d y}{d x}= \square for all real values of xx and yy

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Problem 11850

Find dydx\frac{d y}{d x} by implicit differentiation. (1+e3x)2=9+ln(3x+y),y3x\left(1+e^{3 x}\right)^{2}=9+\ln (3 x+y), y \neq-3 x
Select the correct choice below and fill in the answer box(es) to complete your choice. A. dydx=\frac{d y}{d x}= \square with \square 0\neq 0 B. dydx=\frac{d y}{d x}= \square for all real values of xx and yy

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Problem 11851

Situation problème 2 (à résoudre avec les élèves) Mensieur KOFF* ’ossède 3 terrains dont il veut abso'...ment clôturer car il lui est rapporté que des individus mal intent':onnés utilisent zes espaces non occupés à de mârvaises fins. Гee dernier décide donc d’acheter du fil barbelé pour clôturer ces 3 terrains. ie rculeau de 5 m de fil est vend:ı à 3500 f. -le 1or 1^{\text {or }} terrain est formé de !'ensemble des points M(z)M(z) tel que 2iz13i=8|2 i z-1-3 i|=8 -le 2eˋmc 2^{\text {èmc }} terrain quant à lui a une forme rectangulaire dont les dimensions sont la partie réelle et la partie imaginaire solution de l'équation : (1+4i)z+(34i)zˉ=43i(1+4 i) z+(3-4 i) \bar{z}=4-3 i ou zˉ\bar{z} est le conjugué de zz -le 3c3^{c} terrain est formé de l'ensemble des points M(z)M(z) culi plan complexe tel que Re(z)=0\operatorname{Re}\left(z^{\prime}\right)=0 avec Z=zz+4iZ=\frac{z}{z+4 i} Les distances sont tous en décamètre. A partir de tes connaissances détermines le montant total à dépenser par monsieur Koffi pour la c'otire de ses terrains

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Problem 11852

To find the likelihood of observing a particular sample proportion, how do we convert the sample proportion to its z-value? Z=pˉpp(1p)nZ=\frac{\bar{p}-p}{\sqrt{\frac{p^{(1-p)}}{n}}} z=pˉpp(1p)z=\frac{\bar{p}-p}{p(1-p)} z=pˉpnz=\frac{\bar{p}-p}{n} z=pˉpnz=\frac{\bar{p}-p}{\sqrt{n}}

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Problem 11853

Given f(x)=3x1f(x)=-3 x-1, solve for xx when f(x)=10f(x)=-10.
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 11854

Given f(x)=x+5f(x)=-x+5, solve for xx when f(x)=10f(x)=-10.
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 11855

اوجد كل المثلثات الفيثاغورية البدانية التي طول احد الساقين فيها يساوي 80 .

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Problem 11856

Question 1, 12.4.4
Suppose that xx and yy are related by the equation 4x25y2=24 x^{2}-5 y^{2}=2 and use implicit differentiation to determine dydx\frac{d y}{d x}. dydx=\frac{d y}{d x}= \square

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Problem 11857

Use implicit differentiation to find dydx\frac{d y}{d x}. x29y5=lnydydx=\begin{array}{c} x^{2}-9 y^{5}=\ln y \\ \frac{d y}{d x}=\square \end{array}

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Problem 11858

EXERCICE 3 (04 points).
Donnée : intensité de la pesanteur : g=10 N kg1\mathrm{g}=10 \mathrm{~N} \mathrm{~kg}^{-1}. Les mobiles sont assimilés à des points matériels. Leurs mouvements sont étudiés dans le plan vertical rapporté au repère (Ox, Oy). Pour mettre en pratique une partie de ses connaissances un élève de terminale S se comporte comme un chasseur. II cherche alors à atteindre, avec une flèche, un pigeon en mouvement rectiligne, horizontal. Le pigeon de masse mp=400 gm_{p}=400 \mathrm{~g} est à une altitude h du sol et se déplace avec une vitesse constante de module Vp=12,6 ms1V_{p}=12,6 \mathrm{~ms}^{-1}. A un instant t0=0t_{0}=0, le pigeon passe par un point PP situé à la verticale du chasseur. Au méme instant le chasseur lui envoie une flèche avec une vitesse initiale V0\vec{V}_{0} faisant un angle α=45\alpha=45^{\circ} ave l'horizontale. La flèche a une masse mf=50 g\mathrm{m}_{\mathrm{f}}=50 \mathrm{~g}. La pointe de la flèche est partie d'un point OO d'altitude h0=1,2 mh_{0}=1,2 \mathrm{~m} avec la vitesse V0\vec{V}_{0} de module v0=25 ms1v_{0}=25 \mathrm{~ms}^{-1}. 3-1. Etablir les équations horaires des mouvements du pigeon et de la flèche. ( 0,75 point).
3-2. Etablir les équations des trajectoires du pigeon et de la flèche. Préciser la nature de chaque trajectoire. 3-3. La flèche atteint le pigeon à la date t1=0,9t_{1}=0,9 s en un point OO^{\prime}. (01 point) 3-3-1. Déterminer l'altitude h de vol du pigeon. 3-3-2. Déterminer les coordonnées du point 00^{\prime}. ( 0,25 point). ( 0,25 point). 3-3-3. Déterminer les caractéristiques du vecteur vitesse de la flèche à l'instant où elle rencontre le pigeon. ( 0,5 point) 3-4. Juste après la rencontre, le pigeon et la flèche forment un solide de centre d'inertie G. La vitesse, en O\mathrm{O}^{\prime}, de ce centre d'inertie vaut vo=16,0 m s1\mathrm{v}_{\mathrm{o}^{\prime}}=16,0 \mathrm{~m} \cdot \mathrm{~s}^{-1} et fait un angle β=10\beta=10^{\circ} avec I\mathrm{I}^{\prime} horizontale. 3-4-1. Calculer la norme de la vitesse du centre d'inertie G à l'instant où il touche le sol. ( 0,5 point) 3-4-2. Calculer durée de la chute de l'ensemble (pigeon + flèche). ( 0,25 point). 3-4-3. Déterminer, dans le système d'axes (Ox, Oy ), les coordonnées du point de chute du centre d'inertie G. ( 0,5 point)

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Problem 11859

Сколько корней имеет уравнение x2+5x+\mathrm{x}^{2}+5 \mathrm{x}+ 7=07=0 ?
Запиши в поле ответа верное число.
Ответ: \square

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Problem 11860

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 11861

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 11862

A 4025 kg spacecraft is in circular orbit around the Earth at an altitude of 256 km . Determine; a) the kinetic energy of the spacecraft b) the gravitational potential of the spacecraft 42.56×105 m42.56 \times 10^{5} \mathrm{~m} c) the total orbital energy of the space craft d) the binding energy of the space craft e) the speed required for escape at this height f) the work required to move the spacecraft to a new orbit of altitude 628 km g) homework; pg WS \#'s 4, 5, 7, 8, \& 10

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Problem 11863

d) x5+1=2\frac{x}{5}+1=2

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Problem 11864

Is 2 a solution of 4x+12=44 x+12=4 ? Complete the statement.
The equation is \square ? when x=2x=2, so 2 \square a solution.

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Problem 11865

Resuelve y contesto: ¿Cuál es el consecuente de una razón geométrica cuyo valor es 4/54 / 5 y al antecedente es 68?68 ? Resolución:

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Problem 11866

Question 7 of 10
Balance the following chemical equation (if necessary): MnO2( s)+H2O(l)+Zn( s)Mn(OH)2( s)+Zn(OH)2( s)\mathrm{MnO}_{2}(\mathrm{~s})+\mathrm{H}_{2} \mathrm{O}(\mathrm{l})+\mathrm{Zn}(\mathrm{~s}) \rightarrow \mathrm{Mn}(\mathrm{OH})_{2}(\mathrm{~s})+\mathrm{Zn}(\mathrm{OH})_{2}(\mathrm{~s}) \qquad \square 4- 3{ }^{3-} 222^{2-} \square^{-} \square +\square^{+} 2+{ }^{2+} 3+\square^{3+} 74+7^{4+} 1 2 3 4 5 6 7 8 9 0 1\square 1 \square 2 3\square_{3} 4\square_{4} 5\square_{5} 6\square_{6} 7\square_{7} \square 8 9\square 9 9 \square 0 ++ ( ) D \rightarrow \rightleftharpoons (s) (I) (g) (aq) MnO2\mathrm{MnO}_{2} Mn(OH)2\mathrm{Mn}(\mathrm{OH})_{2} Zn(OH)2\mathrm{Zn}(\mathrm{OH})_{2} Zn H2O\mathrm{H}_{2} \mathrm{O} 甾 - xH2Ox \mathrm{H}_{2} \mathrm{O}

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Problem 11867

5. LJB\angle L J B and IJM\angle I J M are congruent. If the sum of the measures of the angles is 90 , what type of angle are they? (A) acute (B) obtuse (C) right (D) straight

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Problem 11868

Solve for xx : 7x9=3x57 x-9=3 x-5

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Problem 11869

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 11870

Solve the equation 13d+8=113 d+8=-1 d=d=

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Problem 11871

5. What nominal interest rate with continuous compounding of interest is required so that a deposit will double after 10 years.?

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Problem 11872

Find the solution of the exponential equation 100(1.04)2t=500,000100(1.04)^{2 t}=500,000 in terms of logarithms, or correct to four decimal places. t=t= \square Quest \square Funcs Trig \square xx_{\square} \sqrt{ } n\sqrt[n]{ } \square \uparrow 1

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Problem 11873

Quantio Gritim
Homework: HW Units 9.2 \& 9.3 Question 3, 9.2.5 20 porits 0 Pointsof Seve
Question list Find an equation of the inverse relation for the following resiation y=6x5y=6 x-5
Question 1
Question 2 The equation of the inverse relation is \square . Question 3 Question 4 Question 5 Question 6
Question 7

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Problem 11874

0/10 / 1
Use the quadratic formula to solve the equation x22x+6=0x^{2}-2 x+6=0. Enter multiple answers as a list separated by commas. Example: 2+2i,22i2+2 i, 2-2 i \square Question Help: Video 1
Video 2 Submit Question

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Problem 11875

of 20 points
Points: 0 of 1 Save
Find an equation of the inverse relation. x3y=5x^{3} y=-5
Choose the correct equation below. A. y=5x3y=-5 x^{3} B. y3x=5\mathrm{y}^{3} \mathrm{x}=5 C. y3x=5y^{3} x=-5 D. x3y=5x^{3} y=5

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Problem 11876

Which of the following values for θ\theta is a counterexample to the claim that cos(πθ)=cos(θ)\cos (\pi-\theta)=\cos (\theta) is an identity? a) 3π2\frac{3 \pi}{2} b) π\pi c) π2\frac{\pi}{2} d) cos(πθ)=cos(θ)\cos (\pi-\theta)=\cos (\theta) is an identity.

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Problem 11877

41.0 kg of water per second flows through the cooling system of a diesel engine. The difference between the temperatures of the incoming and outgoing water is 5.0 K . How much energy is being removed each second?

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Problem 11878

Trigonomet'y Homework
A flagpole [GH][G H], shown in the diagram, is vertical and the ground is inclined at an angle of 55^{\circ} to the horizontal between EE and GG. The angles of elevation from EE and FF to the top of the pole are 3535^{\circ} and 5252^{\circ} respectively. The distance from EE to FF along the incline is 6 m . Find how far FF is from the base of the pole (G)(G) along the incline. Give your answer correct to two decimal places.

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Problem 11879

Solve for xx : log(x+3)log(x+1)=1x=\begin{array}{l} \log (x+3)-\log (x+1)=1 \\ x=\square \end{array}
You may enter the exact value or round to 4 decimal places.

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Problem 11880

For parts of the free-response question that require calculations, clearly show the method used and the steps involved in arriving at your answers. You must show your work to receive credit for your answer. Examples and equations may be included in your answers where appropriate. Mg(s)+2HCl(aq)MgCl2(aq)+H2(g)\mathrm{Mg}(s)+2 \mathrm{HCl}(a q) \rightarrow \mathrm{MgCl}_{2}(a q)+\mathrm{H}_{2}(g)
In an experiment, a student places a small piece of pure Mg(s)\mathrm{Mg}(s) into a beaker containing 250.mL250 . \mathrm{mL} of 6.44 MHCl(aq)M \mathrm{HCl}(\mathrm{aq}). A reaction occurs, as represented by the equation above. (a) Write the balanced net ionic equation for the reaction between Mg(s)\mathrm{Mg}(s) and HCl(aq)\mathrm{HCl}(a q).
Note On your AP Exam, you will handwrite your responses to free-response questions in a test booklet \square

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Problem 11881

8 Power cables normally operate at temperatures up to about 10G10^{\circ} \mathrm{G} If a short circuit occurs, considerable heat may be evolved which cannot escape quickly. The temperature of the conductor must never rise above 250C250^{\circ} \mathrm{C} or the electrical insulation will be damaged.
Under short-circuit conditions, a current of 7000 A lasts for 1.0 s in a cable that has an effective area of cross-section 50 mm250 \mathrm{~mm}^{2}, resistance per unit length 0.40Ω km10.40 \Omega \mathrm{~km}^{-1} and density 8.9×103 kg m38.9 \times 10^{3} \mathrm{~kg} \mathrm{~m}^{-3}. a Calculate the heat evolved in 1.0 m of cable during this short circuit. b Calculate the rise in temperature of the cable.

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Problem 11882

2
Select the correct answer.
Solve this equation. x+46x=1x\frac{x+4}{6 x}=\frac{1}{x} A. x=2x=2 B. x=0,2x=0,-2 C. x=2x=-2 D. x=0,2x=0,2 Reset

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Problem 11883

d a yy-intercept of -0.75 and a gradient of 0.75 (e) a yy-intercept of -2 and a gradient of 0 f a gradient of 0 and a yy-intercept of 4 . 5 Find the equation (in the form ax+by=ca x+b y=c ) of a line which has: a a gradient of 32-\frac{3}{2} and a yy-intercept at (0,0.5)(0,-0.5) b a yy-intercept of 2 and a gradient of 34-\frac{3}{4} c a yy-intercept of -3 and a gradient of 48\frac{4}{8}.

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Problem 11884

A power station gets rid of 600 MW of surplus energy into a nearby river. The river is 20 m wide, 3.0 m deep and flows at 1.2 m s11.2 \mathrm{~m} \mathrm{~s}^{-1}. Calculate the temperature rise.

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Problem 11885

Solve the exponential equation. Express the solution in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution. * = 8.89 The solution set expressed in terms of logarithms is (Use a comma to separate answers as needed. Simplify your answer. Use integers or decimals for any numbers in the expression. Use In for natural logarithm and log for common logarithm.)

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Problem 11886

a) Show that the cosine rule shown below can be rearranged to give cosA=b2+c2a22bc\cos A=\frac{b^{2}+c^{2}-a^{2}}{2 b c} b) What is the size of angle θ\theta in the triangle below? Give your answer to the nearest degree.
Not drawn accurately Zoom

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Problem 11887

You are treating a patient who weighs 239 lb and is 595^{\prime} 9^{\prime \prime} tall. The recommended dosage is 3 mg per square meter. Calculate the recommended amount for this patient. Use the BSA rounded to hundredths. Round this answer to the hundredths place \square mg

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Problem 11888

Answer Attempt 1 out of 2
Estimated length of QS=4.3 cm\overline{Q S}=4.3 \mathrm{~cm} The actual length of QS=\overline{Q S}= \square cm (round to 3 decimal places)

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Problem 11889

Solve for xx. 2log10x=5.52 \log _{10} x=5.5

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Problem 11890

Answer Attempt 2 out of 2
Estimated length of QS=4.3 cm\overline{Q S}=4.3 \mathrm{~cm} The actual length of QS=\overline{Q S}= \square cm (round to 3 decimal places)

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Problem 11891

Answer Attempt 1 out of 2
Estimated length of AB=9.2 cm\overline{A B}=9.2 \mathrm{~cm} The actual length of AB=\overline{A B}= \square cm (round to 3 decimal places)

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Problem 11892

Solve the dosage by weight conversion problem. Weight 22 pounds. Ordered dose: 33 milligrams per kilogram per day Recommended dose from drug label : 25 - 50 milligrams per kilogram per day in equally divided doses every 8 hours. a) Does the doctor's order fit within the recommended safe guidelines? b) What is the daily dose? c) What is the individual dosage? a) Does the doctor's order fit within the recommended safe guidelines? Yes No

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Problem 11893

C
Assignment 6.2: Logarithmic Functions \& 7 Score: 2/23 2/23 answered
Question 3
Write the equation in logarithmic form. Assume that all constants are positive and not equal to 1. 6v=z6^{v}=z \square Hint Question Help: Video Submit Question

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Problem 11894

Answer Attempt 1 out of 2 Estimated length of WX=7.5 cm\overline{W X}=7.5 \mathrm{~cm} The actual length of WX=\overline{W X}= \square cm (round to 3 decimal places)

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Problem 11895

THIS IS A PRACTICE TEST 22 \square Mark for Review (45)
A line in the xyx y-plane has a slope of 19\frac{1}{9} and passes through the point (0,14)(0,14). Which equation represents this line? (A) y=19x14y=-\frac{1}{9} x-14 (B) y=19x+14y=-\frac{1}{9} x+14 (C) y=19x14y=\frac{1}{9} x-14
D y=19x+14y=\frac{1}{9} x+14

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Problem 11896

3 Mark for Review one answer. and up to 6 answer. ided space, enter ided space, enter rit as an improper dollar sign. le: will e credit
If x8=5\frac{x}{8}=5, what is the value of 8x?\frac{8}{x} ? 1/51 / 5
Answer Preview: 15\frac{1}{5}

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Problem 11897

What two values can ff have if f2=16f^{2}=16 ?

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Problem 11898

(x2)2=3x+34\sqrt{(x-2)^{2}}=\sqrt{3 x+34}
What is the smallest solution to the given equation?

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Problem 11899

Find the value of xx. x=x= Previous

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Problem 11900

5. The tank in Fig. 28 contains 80 lb of salt dissolved in 500 gal of water. The inflow per minute is 20 lb of salt dissolved in 20 gal of water. The outflow is 20gal/min20 \mathrm{gal} / \mathrm{min} of the uniform mixture. Find the time when the salt content y(t)y(t) in the tank reaches 95%95 \% of its limiting value (as tt \rightarrow )\infty).
Fig. 28. Tank in Problem 28

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