Math

Problem 63301

Home > CCA2 > Chapter 2 > Lesson 2.1.2 > Problem 2-29
2-29. Suppose your parents spend an average of $300\$ 300 each month for your food. a. In five years, when you are living on your own, how much will you be spending on food each month if you are eating about 4%4 \% per year? \square \checkmark Hint (a): Each year, food will cost 1.04 times the cost of the previous year. \checkmark Answer (a): 300(1.04)5365.00300(1.04)^{5} \approx 365.00 b. Write an equation that represents your monthly food bill xx years from now if both the rate of inflation and your eating Hint (b): What does the exponent mean in the equation used in part (a)?

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Problem 63302

Barbie is thinking of a number twenty less than one third of the number is 72 , find the number.

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Problem 63303

d) limx3x32x2+1x2+1\lim _{x \rightarrow-\infty} \frac{3 x^{3}-2 x^{2}+1}{x^{2}+1}

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Problem 63304

Use the diagram to the right to complete the statement. ORQ\angle O R Q \cong \angle ORQ\angle O R Q \cong \angle \square

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Problem 63305

Write an equation in point-slope form of the line that passes through the given point and with the given slope mm. (6,5);m=7(-6,5) ; m=7
The equation of the line is \square (Simplify your answer. Type your answer in point-slope form.)

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Problem 63306

6. The decimal equivalent of the rational number 2895\frac{28}{95} is 1.866661.86666 \ldots. This can be expressed in bar notation as \qquad - boli99 .001 A. 1.86\overline{1.86} sold yd
8. 1.86861 . \frac{86}{86} b vigislum C. 1.861.8 \overline{6} un ant gbivib D. 1.86 oj 5 nimongb

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Problem 63307

State two other ways to name \angle z.
Two other ways to name z\angle z are \square (Use a comma to separate answers as needed.)

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Problem 63308

Solve for yy. y26y+8=0y^{2}-6 y+8=0

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Problem 63309

Rewrite x2+14x10=0x^{2}+14 x-10=0 in the form (xp)2=q(x-p)^{2}=q by completing the square. Use the keypad to enter your answer in the box. Find more symbols by using the drop-down arrow at the top of the keypad. x2+14x10=0x^{2}+14 x-10=0 in the form (xp)2=q(x-p)^{2}=q is \square 7.

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Problem 63310

Multiply. (5c8)(4c+5)(5 c-8)(-4 c+5)

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Problem 63311

login.i-ready.com/student/dashboard/home ckle Student Das. My Assignments Reading To Do, i-Re.. -Ready Add Decimals - Instruction - Level E
Althea has 774 . Harrison finds 404 . They want to combine their money to buy a barbecue skewer from a street vendor for $1\$ 1.
Do you think they have enough money? Yes No
How can you find how much money Althea and Harrison have in all? Choose the correct expression. 0.77 cents +0.40 cents 0.77 cents -0.40 cents
77 cents +40 cents 77 cents -40 cents

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Problem 63312

900÷3=9900 \div 3=9 hundreds ÷\div

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Problem 63313

expression
1. 8×8×8×8×8×8×8 \times 8 \times 8 \times 8 \times 8 \times 8 \times 2.4 4=44=4
3. 10×(10)×(10)×-10 \times(-10) \times(-10) \times

Evaluate each expressio 4.92=814.9^{2}=81
6. 3,1053,105^{\circ}
8. (2)7(-2)^{7}

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Problem 63314

Solve u2=16u^{2}=16, where uu is a real numbe Simplify your answer as much as pc
If there is more than one solution, If there is no solution, click on "No u=u= \square

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Problem 63315

Consider the following integral in abf(x)dx\int_{a}^{b} f(x) d x form. Find the value of bb such that 2b(12x)dx=0\int_{-2}^{b}(1-2 x) d x=0
You may assume that 2<b-2<b. \square

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Problem 63316

1 A company purchased factory equipment on April 1, 2022 for $160,000\$ 160,000. It is estimated that the equipment will have a $20,000\$ 20,000 salvage value at the end of its 10 -year useful life, Using the straight-line method of depreciation, the amount to be recorded as depreciation expense at December 31, 2022 is A) $16,000\$ 16,000 B) $14,000\$ 14,000 C) $10,500\$ 10,500 D) $12,000\$ 12,000 E) None of the above
2 If an asset costs $41,000\$ 41,000, has a residual value of $3,000\$ 3,000, and has a useful life of five years, the entry to record depreciation in the second year, using the double-declining-balance method, is A) Depreciation Expense Cash \$ 9,430 B) Depreciation Expense Accumulated Depreciation - Asset C) Depreciation Expense Accumulated Depreciation - Asset D) Accumulated Depreciation - Asset \$ 10,660 Depreciation Expense E) None of the above
3 Equipment is purchased for $120,000\$ 120,000. It has a five-year useful life and a $20,000\$ 20,000 residual value. Under the double declining balance method, what is the depreciation expense for year 3 ? A) $17,280\$ 17,280 B) $15,360\$ 15,360 C) $14,400\$ 14,400 D) $12,800\$ 12,800 E) None of the above

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Problem 63317

34) Henry throws a tennis ball over his house. The ball is 6 feet above the ground when he lets it go. The quadratic function that models the height, in feet, of the ball after tt seconds is y=16t2+46t+6y=-16 t^{2}+46 t+6. a. How long does it take for the ball to hit the ground? Roughly sketch the graph. b. There is a trampoline on the other side that is 5 feet off the ground. The ball happens to land on it instead of the ground. How long would this take? Create a new equation and solve.

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Problem 63318

a. 12÷4=\frac{1}{2} \div 4=

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Problem 63319

Algebra 1 Y. 4 Transformations of quadratic functions 6 YS
Find g(x)g(x), where g(x)g(x) is the translation 1 unit left of f(x)=x2f(x)=x^{2}. Video Questions answered
Write your answer in the form a(xh)2+ka(x-h)^{2}+k, where aa, hh, and kk are integers. g(x)=g(x)= \square ( \square ) 2 Time elapsed 00 01 07 1 HR MIN sec SmartScore Submit out of 100 15

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Problem 63320

Calculate the molar concentration of each solution. a. 14 g of copper(II) sulfate, CuSO4( s)\mathrm{CuSO}_{4}(\mathrm{~s}), dissolved in 70 mL of solution b. 5.07 g of sucrose, C12H22O11( s)\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}(\mathrm{~s}), dissolved in 23.6 mL of solution c. 1.1 g of calcium nitrate, Ca(NO3)2( s)\mathrm{Ca}\left(\mathrm{NO}_{3}\right)_{2}(\mathrm{~s}), dissolved in 70 mL of solution

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Problem 63321

par non-cumulative preferred stock outstanding at December 31,2021 . No dividends have been paid on this stock for 2020 of 2021 . Divitend in arrears at December 31, 2021 total A)  A) $0 B) $3,000 C) $30,000 D) $60,000\begin{array}{lrr}\text { A) } & & \$ 0 \\ \text { B) } & \$ & 3,000 \\ \text { C) } & \$ & 30,000 \\ \text { D) } & \$ & 60,000\end{array} E) None of the above
20 On January 1, Layline Corporation had 160,000 shares of $10\$ 10 par value common stock outstanding. On June 17 , the company declared a 15%15 \% stock dividend to stockholders of record on June 20. Market value of the stock was $15\$ 15 on June 17 . The entry to record the transaction of June 17 would include a A) debit to Stock Dividends for $360,000\$ 360,000. B) credit to Cash for $360,000\$ 360,000. C) credit to Common Stock Dividends Distributable for $360,000\$ 360,000. D) credit to Common Stock Dividends Distributable for $120,000\$ 120,000. E) None of the above
21 Cherokee, Inc. paid \180,000tobuyback20,000sharesofits$1parvaluecommonstock.Thisstockwassoldlateratasellingpriceof180,000 to buy back 20,000 shares of its \$1 par value common stock. This stock was sold later at a selling price of \6 6 per share. The entry to record the sale includes a A) debit to Retained Earnings for \60,000.B)credittoRetainedEarningsfor60,000. B) credit to Retained Earnings for \20,000 20,000. C) debit to Paid-in Capital from Treasury Stock for \$180,000. D) credit to Paid-in Capital from Treasury Stock for \$20,000. E) None of the above
22 Which of the following is not true of a corporation? A) It may buy, own, and sell property. B) It may sue and be sued. C) The acts of its owners bind the corporation. D) It may enter into binding legal contracts in its own name. E) None of the above

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Problem 63322

le miexerce Pour faire une robe, Lina emploie 5 m d'etoffe a 1556 le mètre. Elle compte 150 G pour les fournitures et 500 G de travail. Quel est le prix de revient de la robe?

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Problem 63323

Unit test
The partial table below shows the fraction of fish in Kathy's tank of different types. \begin{tabular}{ll} Type of fish & Fraction of total \\ \hline Tetras & 16\frac{1}{6} \\ Guppies & 25\frac{2}{5} \\ Goldfish & 14\frac{1}{4} \end{tabular}
What fraction of Kathy's fish are either tetras or guppies? \square of the fish

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Problem 63324

At 20C20^{\circ} \mathrm{C}, a saturated solution of calcium sulfate, CaSO4(aq)\mathrm{CaSO}_{4}(\mathrm{aq}), has a concentration of 0.0153 mol/L0.0153 \mathrm{~mol} / \mathrm{L}. A student takes 65 mL of this solution and evaporates it. What mass of solute should be left in the evaporating dish?

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Problem 63325

35.
The population PP of a certain city yy years after the last census is modeled by the equation below, where rr is a constant and P0\mathbb{P}_{0} is the population when y=0P=P0(1+r)y\begin{array}{l} y=0 \\ P=P_{0}(1+r)^{y} \end{array}
If during this time the population of the city decreases by a fixed percent each year, which of the following must be true? A. γ<1\gamma<-1 B. 1<r<0-1<r<0 C. 0<r<10<r<1 D. p>1p>1

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Problem 63326

At 20C20^{\circ} \mathrm{C}, a saturated solution of calcium sulfate, CaSO4(aq)\mathrm{CaSO}_{4}(\mathrm{aq}), has a concentration of 0.0153 mol/L0.0153 \mathrm{~mol} / \mathrm{L}. A student takes 65 mL of this solution and evaporates it. What mass of solute should be left in the evaporating dish?

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Problem 63327

2. If sin(α)=25\sin (\alpha)=\frac{2}{5} and tan(β)=2\tan (\beta)=\sqrt{2}, where π2sinsm\frac{\pi}{2} \operatorname{sinsm} and π2sβs3π2\frac{\pi}{2} s \beta s^{\frac{3 \pi}{2}}, calculate sin(α+β)+sin(αβ)\sin (\alpha+\beta)+\sin (\alpha-\beta). Show at least four lines of work for fult marks. (4 Marks])
3. Determine the exact value of Cos(2x),CSc(x)=1715\operatorname{Cos}(2 x), \operatorname{CSc}(x)=\frac{-17}{15} and 3π25×2π\frac{3 \pi}{2} 5 \times \leq 2 \pi. Show at least three lines of work for full merts. (4 Marks)

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Problem 63328

For the compound inequality 52x<75-2 x<7 and 2(3x1)4x+42(3 x-1) \leq 4 x+4, Find the solution set algebraically. 2×27x-2 \times 27^{\text {" }} x^{\prime \prime} is greater 2x2<22x>12(3x1)4x+46x24x+44x4x intersection: 12x3x3x is less than or  or (1,3)\begin{array}{l} \frac{-2 x}{-2}<\frac{2}{-2} \quad x>-1 \quad 2(3 x-1) \leqslant 4 x+4 \\ \begin{array}{l} 6 x-2 \leqslant 4 x+4 \\ -4 x \end{array} \\ -4 x \\ \text { intersection: } \\ -12 x \leqslant 3 \\ x \leq 3 \quad x \text { is less than or } \\ \text { or }(-1,3) \end{array} b.) Graph the solution set.

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Problem 63329

QUESTION 4
Convert the following rectangular coordinates to cylindrical coordinates. Give angles in terms of Pi. If your answer is two-thirds Pi, you would type 2 pil3. It might look familiar. Keep the square root(s) in your answer- do not use decimals. Rectangular: (2,2,2sqrt2)=(2,-2,2 s q r t 2)= Cylindrical: \square \square \square

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Problem 63330

Match each unit rate to its ratio. 34\frac{3}{4} gallon: 12\frac{1}{2} minute \square (4) 23\frac{2}{3} gallon per minute \square 1121 \frac{1}{2} gallons : 12\frac{1}{2} minute \square
\square (4) 3 gallons per minute (1)) 3 gallons: 4124 \frac{1}{2} minutes - \square (a) 1121 \frac{1}{2} gallons per minute
\qquad

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Problem 63331

(3) Which value of xx makes the following statement true? 0.5x=-0.5-x= a positive number A x=1.5x=1.5 B x=0.5\quad x=0.5 c x=0.5x=-0.5 D x=1.5x=-1.5

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Problem 63333

Use division to write 411\frac{4}{11} as a decimal.
How many times does 11 go into 70 ?
3 times, with a remainder of 7 \square What is the greatest number you can multiply 0.3 ? 1 1 \longdiv { 4 . 0 0 } by 11 to get a product less than or equal to 70 ? 0403370\begin{array}{r} -0 \\ \hline 40 \\ -33 \\ \hline 70 \end{array} DONE Show Me \begin{tabular}{|c|c|c|c|} \hline \multicolumn{4}{|c|}{ … } \\ \hline 7 & 8 & 9 & x\mathbf{x} \\ \hline 4 & 5 & 6 & - \\ \hline 1 & 2 & 3 & - \\ \hline 0 & & & \\ \hline \end{tabular}

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Problem 63334

18. m÷3.54=1.5m \div 3.54=1.5 m÷3.54×m \div 3.54 \times \square =1.5×=1.5 \times \square m=m= \square

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Problem 63335

2. A political gathering in South America was attended by 7,910 people. Each of South America's 14 countries was equally represented. How many representatives attended from each country?

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Problem 63336

7(6f+1)2(3f8)7(-6 f+1)-2(3 f-8)

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Problem 63337

Select the correct answer from each drop-down menu.
When she was 20, Liz started saving $6,000\$ 6,000 a year for retirement. Her goal is to reach $100,000\$ 100,000 in savings by the time she's 30 . Her account earns 8%8 \% interest per year, compounded annually. Liz \square have saved $100,000\$ 100,000 by age 30 . She'll \square her goal by about \square Reset Next

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Problem 63338

rms: 10(0.3s+0.2)9s10(0.3 s+0.2)-9 s

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Problem 63339

t terms: 9(0.7a+0.3)+8a9(0.7 a+0.3)+8 a

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Problem 63340

2. A single die is rolled twice. The set of 36 equally likely outcomes are given as follows: {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}\begin{array}{l} \{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6) \\ (3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6) \\ (5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)\} \end{array}
Find the probability of the sum of two faces is equal to 3 or 4 ?

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Problem 63341

a. Use the points (2,2485.6)(2,2485.6) and (6,1172.5)(6,1172.5) to write an equation of the line of fit in slope-intercept form. Let xx be the years since 2010 and let yy be the number of CDs in millions sold. +x÷+-x \div \square \square \sqrt{\square} 6\sqrt{6} \square ==\ldots \square 2\leq 2 (c) π\pi \square \qquad \square I

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Problem 63342

e Divide. Check 7÷28 6599

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Problem 63343

Jacques achète 12 bicyclettes d'enfants à 2875 G I'une. Il paie 5100 G pour le transport, 13800 G pour la douane et 600 G pour la réparation de 2 bicyclettes endommagées. Quel est le prix de revient moyen d'une bicyclette?

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Problem 63345

A table of values of a linear function is shown below. \begin{tabular}{|l|l|l|l|l|} \hlinexx & 0 & 1 & 2 & 3 \\ \hlineyy & 3 & 5 & 7 & 9 \\ \hline \end{tabular}
Find the slope and yy-intercept of the function's graph. slope: \square yy-intercept: \square

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Problem 63346

Exercice 2 Soit X1,X2X_{1}, X_{2} et X3X_{3}, trois vecteurs de I3I^{3} tels que : X1=(1,5,2),X2=(2,1,2)X_{1}=(-1,5,2), X_{2}=(2,-1,2) et X3=(1,1,3)X_{3}=(1,1,3) a. Calculer les combinaisons linéaires suivantes: 3X12X2+X3;3(X1X3)+X23 \mathrm{X}_{1}-2 \mathrm{X}_{2}+\mathrm{X}_{3} ; 3\left(\mathrm{X}_{1}-\mathrm{X}_{3}\right)+\mathrm{X}_{2} b. Trouver trois réels α,β\alpha, \beta et γ\gamma non nuls, tels que αX1+βX2+γX3\alpha \mathrm{X}_{1}+\beta \mathrm{X}_{2}+\gamma \mathrm{X}_{3} ait ses deux premières composantes nulles .
Exercice 3
1. Soient u1=(1,1,1,1),u2=(2,1,2,1),u3=(4,1,4,1)u_{1}=(1,1,1,1), u_{2}=(2,-1,2,-1), u_{3}=(4,1,4,1) trois vecteurs de R4R^{4} La famille {u1,u2,u3}\{\mathrm{u} 1, \mathrm{u} 2, \mathrm{u} 3\} est-elle libre?
2. Soient dans R3\mathbb{R}^{3} les vecteurs v1=(1,1,0),v2=(4,1,4)v 1=(1,1,0), v 2=(4,1,4) et v3=(2,1,4)v 3=(2,-1,4).

La famille (v1,v2,v3)(v 1, v 2, v 3) est-elle libre ?

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Problem 63347

6. 422t522t+15+(5)-\frac{4}{22} t-\frac{5}{22} t+15+(-5)

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Problem 63348

Calculate. (7×105)+(2×105)\left(7 \times 10^{5}\right)+\left(2 \times 10^{5}\right)
Write your answer in scientific notation.

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Problem 63349

Translating LMN\triangle L M N to the right 8 units and downward 1 unit, we get its image LMN\triangle L^{\prime} M^{\prime} N^{\prime}.
Note that LMN\triangle L M N has vertices L(3,6),M(5,4)L(-3,6), M(-5,4), and N(1,1)N(-1,1). Also, note that ΔLMN\Delta L^{\prime} M^{\prime} N^{\prime} has vertices L(5,5),M(3,3)L^{\prime}(5,5), M^{\prime}(3,3), and N(7,0)N^{\prime}(7,0). Complete the following.

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Problem 63350

Graph the 4 vertices of the quadrilateral. Determine the best name for the quadrilateral and justify your choice. M(0,2),A(1,1),T(5,1),H(4,4)M(0,2), A(1,-1), T(5,1), H(4,4)
Quadrilateral MATH is best described as a fa rallologram because buth \qquad

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Problem 63351

Anthony has (2) bags of marbles. The first bag has 10 marbles. The second bag hed 3) times as many marbles as the first bag. How many marbles does Anthony have altogether?
If a rectangular piece of paper is 8 inches long and 11 inches wide, what is its area? Draw a picture.
Martha was She got 38 birthday, 7 friend, and brother. her sister her sticke stickers sticker b
A square are 15 c the area picture. 841184^{11} axtl Find the total args =22 cm2=22 \mathrm{~cm}^{2} 2

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Problem 63352

9) *(I know this is linear - it's assessing transformations)
Part A The linear function f(x)f(x) is graphed on the coordinate grid. Graph the linear function g(x)=f(x)+3g(x)=f(x)+3.

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Problem 63353

A population of rabbits oscillates 33 above and below average during the year, hitting the lowest value in January (t=0)(t=0). The average population starts at 900 rabbits and increases by 130 each year. Find an equation for the population, PP, in terms of the months since January, tt.

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Problem 63354

13. Each person in a simple random sample of 2,000 received a survey, and 317 people returned their survey. How could nonresponse cause the results of the survey to be biased? (A) Those who did not respond reduced the sample size, and small samples have more bias than large samples. (B) Those who did not respond caused a violation of the assumption of independence. (C) Those who did not respond were indistinguishable from those who did not receive the survey. (D) Those who did not respond represent a stratum, changing the simple random sample into a stratified random sample. (E) Those who did respond may differ in some important way from those who did not respond.

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Problem 63355

Evaluate 13+6y13+\frac{6}{y} when y=6y=6

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Problem 63356

(2 points) Find all solutions to the system of nonlinear equations. y=x7x2+y2=37\begin{array}{c} y=x-7 \\ x^{2}+y^{2}=37 \end{array}
Solution(s): \square help (points)
Enter the solution as an ordered pair, (a,b)(a, b) or a list of ordered pairs, (a,b),(c,d)(a, b),(c, d).

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Problem 63357

Assignment Actlve
Using a Table to Solve a Proportion
Extend the rate table to the next row by determining how many quarts of water are necessary for '81/2' tablespoons of salt. 3/212=81/2a\frac{3 / 2}{12}=\frac{81 / 2}{a} \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Tablespoons of \\ Salt \end{tabular} & Quarts of Water \\ \hline 3/23 / 2 & 12 \\ \hline 9/29 / 2 & 36 \\ \hline 27/227 / 2 & 108 \\ \hline \end{tabular} DNㄴ․․

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Problem 63358

(1 point) Find the augmented matrix for this system. x+2y=52x+3y=9\begin{array}{r} -x+2 y=5 \\ 2 x+3 y=-9 \end{array}
Augmented matrix: \square \square \square \square help (

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Problem 63359

 (1 point) x+4y+7z=99x5y=4x5y+z=1\begin{array}{l} \text { (1 point) } \\ x+4 y+7 z=9 \\ 9 x-5 y=4 \\ x-5 y+z=1 \end{array}
Find the augmented matrix for this system.
Augmented matrix: \square \square \square \square 1 \square \square \square \square

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Problem 63360

Current Skill
Lois gained 152315 \frac{2}{3} pounds in 11 months. Find Lois's rate of gaining weight in pounds per month. label optional

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Problem 63361

Solve for XX. 72=3x72=3 x
Simplify your answer as much as possible. x=x= \square

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Problem 63362

4. Cameron wants to measure the length of his classroom using his foot as a length unit. Histeacher thes him the length of the classroom is 23 meters. Cameron steps across the classroom heel to toe and fins that it takes him 92 steps. How long is Cameron's foot in meters?

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Problem 63363

Evaluate the expression: 34(49)-\frac{3}{4}\left(-\frac{4}{9}\right) and simplify the result.

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Problem 63364

Find the reciprocal of 2. Is the product of 2 and its reciprocal equal to 1? Yes or No?

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Problem 63365

Evaluate the expression: 38÷34\frac{3}{8} \div \frac{3}{4} and simplify the result.

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Problem 63366

Evaluate the expression: 9(715)9\left(\frac{7}{15}\right) and write the result in simplest form.

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Problem 63367

Find the measure of angle XZYX Z Y in triangle XYZX Y Z where angle YXZ=50Y X Z = 50^{\circ} and angle XYZ=75X Y Z = 75^{\circ}.

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Problem 63368

Calculate the area of a triangle with a base of 6 inches and height of 4 inches. Area = [?][?] in.2^{2}

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Problem 63369

Evaluate the expression and simplify: 512÷458-\frac{5}{12} \div \frac{45}{8}.

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Problem 63370

Evaluate the expression: 73÷73\frac{7}{3} \div \frac{7}{3} and simplify the result.

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Problem 63371

Evaluate and simplify the expression: 27÷97\frac{2}{7} \div \frac{9}{7}.

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Problem 63372

Identify the sequence type for 5,45, -4 and find the next three terms if possible.

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Problem 63373

Solve the equation (x1)(x3)=0(x-1)(x-3)=0 for the values of xx.

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Problem 63374

Mindy and Troy ate 9 pieces of cake. Mindy had 3 pieces, Troy had 14\frac{1}{4} of the total. How much is the total?

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Problem 63375

Solve the equation: (x1)(x3)=0(x-1)(x-3)=0

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Problem 63376

Calculate the perimeter of the rectangle formed by the points (1,3)(1,3), (1,5)(1,5), and (8,3)(8,3).

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Problem 63377

Find the limit: limx0sin(6x)sin(2x)\lim _{x \rightarrow 0} \frac{\sin (6 x)}{\sin (2 x)}.

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Problem 63378

Mindy ate 3 pieces and Troy had 14\frac{1}{4} of the total. They ate 9 pieces. Find total pieces of cake cc.

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Problem 63379

Kala, Scott, and Rafael sent 80 messages total. If Kala sent xx, Rafael sent x+5x + 5, and Scott sent 3(x+5)3(x + 5), find xx.

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Problem 63380

Calculate the perimeter of the polygon with vertices at (1,2)(1,2), (1,5)(1,5), (8,2)(8,2), and (8,5)(8,5).

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Problem 63381

Which graph shows the function g(x)=x+3g(x)=-\sqrt{x+3}? Explain the effects of the negative sign and the square root.

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Problem 63382

Solve the compound inequality: 2x72x \geq 7 or 47x1>6-\frac{4}{7}x - 1 > 6. What are the solution ranges for xx?

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Problem 63383

Identify the sequence 100,20,4,100, 20, 4, \ldots as arithmetic, geometric, or neither.

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Problem 63384

Identify the sequence type: 2,4,16,2, 4, 16, \ldots - is it arithmetic, geometric, or neither?

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Problem 63385

Identify the sequence type: 10,20,30,10, 20, 30, \ldots - is it arithmetic, geometric, or neither?

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Problem 63387

A customer buys 2 chairs for \$249.99 each and pays \$60 for delivery. With a 6% sales tax, what is the total amount due?

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Problem 63388

Determine if the sequence 200,40,8,200, 40, 8, \ldots is arithmetic, geometric, or neither.

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Problem 63389

Find the range of the data set: x={21,16,13,33,26}x = \{21, 16, 13, 33, 26\}.

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Problem 63390

Solve the equation 7x+292x=82x+4\frac{7}{x+2}-\frac{9}{2 x}=\frac{8}{2 x+4} for xx algebraically and graphically.

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Problem 63391

Identify the sequence: 6,12,18,6, 12, 18, \ldots as arithmetic, geometric, or neither.

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Problem 63392

Calculate the area of a rectangle with vertices at (1,2)(1,2), (1,4)(1,4), (7,2)(7,2), and (7,4)(7,4).

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Problem 63393

Find the area of the polygon with vertices at (2,1)(2,1), (2,6)(2,6), (5,1)(5,1), and (5,6)(5,6). Area == [?] sq. units.

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Problem 63394

Determine if the sequence defined by f(1)=10,f(n)=f(n1)1.5f(1)=10, f(n)=f(n-1)-1.5 for n2n \geq 2 is arithmetic, geometric, or neither.

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Problem 63395

What number can you multiply each term by to remove the fractions in the equation? 12x54+2x=56+x\frac{1}{2} x - \frac{5}{4} + 2x = \frac{5}{6} + x Options: 2, 6, 10, 12.

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Problem 63396

Solve the equation: 34x+32x=14+12x+5\frac{3}{4} x + 3 - 2 x = -\frac{1}{4} + \frac{1}{2} x + 5

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Problem 63397

Ann's taxi fare was \2.10permileplusa$5tip,totaling$49.10.Findthedistance2.10 per mile plus a \$5 tip, totaling \$49.10. Find the distance (x)inmiles: in miles: 2.10x + 5 = 49.10$.

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Problem 63398

Solve for cc in the equation A=B+BcdA = B + B c d.

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Problem 63399

Solve the equation x232=0x^{2}-32=0 to find xx algebraically and graphically.

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Problem 63400

Determine if the sequence 25,5,1,25, 5, 1, \ldots is arithmetic, geometric, or neither. How to modify one number to make it arithmetic or geometric?

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