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Problem 28501

Solve the equation. Give an exact solution. log(7x+4)=log5\log (7 x+4)=\log 5
Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The solution set is \square 3. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution set is \varnothing.

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Problem 28502

Find f(57)(x)f^{(57)}(x). f(x)=cos(x)f(x)=\cos (x) sin(x)\sin (x) sin(x)-\sin (x) cos(x)-\cos (x) cos(x)\cos (x)

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Problem 28503

216×6=48+x÷\begin{array}{c}2 \square 1 \square 6 \times 6=48 \\ +-x \div\end{array}

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Problem 28505

على يغة مستطيل الشكل يزيد طولها عرضها به قدار 4000, ومساحتها 48000m / يريد مزارها أماطتها بسياج أجد طول السياج 2

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Problem 28506

اوجد معكوس الاقتران النتالي :

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Problem 28507

Example 6.10. In a triangulation survey, the station CC could not be occupied in a triangle ABCA B C, and a satellite station SS was established north of CC. The angles as given in Table 6.1 were measured at SS using a theodolite.
Table 6.1 \begin{tabular}{c|c} \hline Pointing on & Horizontal circle reading \\ \hlineAA & 14432714^{\circ} 43^{\prime} 27^{\prime \prime} \\ \hlineBB & 74303574^{\circ} 30^{\prime} 35^{\prime \prime} \\ \hlineCC & 2271812227^{\circ} 18^{\prime} 12^{\prime \prime} \\ \hline \end{tabular}
Approximate lengths of ACA C and BCB C were found by estimation as 17495 m and 13672 m , respectively, and the angle ACBA C B was deduced to be 59445359^{\circ} 44^{\prime} 53^{\prime \prime}. Calculate the distance of SS from CC.

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Problem 28508

A proton (rest mass 1.67×1027 kg1.67 \times 10^{-27} \mathrm{~kg} ) has total energy that is 3.4 times its rest energy. What is a) the kinetic energy of the proton?
b) the magnitude of the momentum of the proton? \square ×1018 kg m/s\times 10^{-18} \mathrm{~kg} \cdot \mathrm{~m} / \mathrm{s}. c) the speed of the proton? \square c.

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Problem 28509

ectangular prism and its net are shown below. (All lengths are in centimeters.) (a) Find the following side lengths for the net. A=mB=cmC=cmD=cm\begin{aligned} A & =\square \mathrm{m} \\ B & =\square \mathrm{cm} \\ C & =\square \mathrm{cm} \\ D & =\square \mathrm{cm} \end{aligned}

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Problem 28510

x24x+3+2lnx=0x^{2}-4 x+3+2 \ln x=0

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Problem 28511

Cobra Limited, a manufacturing company commenced business on 1st November 2020 and prepares accounts to 31st December each year. He purchased the following assets in the year 2020:Generator GHC180,000, Refrigerator GHC9,000, Laptops GHC12,000, Office Building GHC1,500,000, Toyota Corolla GHC55,000, Fittings & fixtures GHC60,000. It was also found out that the trademark of his company was valued to be GHC50,000 with an estimated useful life of 10 years. What is the written down value for trademark in the 2020 year of assessment? OA GHC49,164 OB. GHC52,242 OC.GHC5,000 OD. GHC49,589

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Problem 28512

2cos\approx 2 \mathrm{cos} as x24x+3+2lnx=0.x^{2}-4 x+3+2 \ln x=0 .

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Problem 28513

REQUIRED
14. Regina charges c\mathbf{c} dollars per hour to babysit. If she increases her rate by 15%15 \%, which expression represents her new rate, in dollars per hour? c+0.15\mathrm{c}+0.15 c+15 c+0.15cc+0.15 c c+15cc+15 c

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Problem 28514

Find dy/dxd y / d x by implicit differentiation. ysin(x2)=xsin(y2)y \sin \left(x^{2}\right)=x \sin \left(y^{2}\right) dy/dx=d y / d x= \square Preview My Answers Submit Answers

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Problem 28515

The histogram shows the number of miles that each adult, from a survey of 67 adults, drives per week. How many adults drive fewer than 200 miles per week?
There are \square adults who drive fewer than 200 miles per week.

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Problem 28516

(arercise (11) The number of elements of three sets A, B and E are distributed as shown in the adjoining figure. Calculate the value of xx, in each of the following cases: 1) Card (A)=53(A)=53. 2) Card (B)=37(B)=37. 3) Card (E)=60(E)=60. 4) Card(AB)=15\operatorname{Card}(A \cap B)=15. 5) Card(AB)=51\operatorname{Card}(A \cup B)=51.
Brercise(12) A survey was made on 500 customers in a store which sells only shirts and jackets. The result is presented below: - 300 customers bought jackets; 240 customers bought shirts; 110 bought nothing. 1) How many customers bought jackets and shirts at the same time? 2) How many customers did not buy jackets? 3) How many customers bought at least one item?

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Problem 28517

ntials ole
Find dydx\frac{d y}{d x}, where 8x2+7y28=08 x^{2}+7 y^{2}-8=0 dydx=\frac{d y}{d x}= \square

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Problem 28518

Complete this thermal decomposition word equation.
Enter your answer zinc carbonate \square zinc oxide + \qquad

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Problem 28519

Holden Corporation produces three products, with costs and selling prices as follows: \begin{tabular}{|c|c|c|c|c|c|c|} \hline & \multicolumn{2}{|l|}{Product A} & \multicolumn{2}{|l|}{Product B} & \multicolumn{2}{|l|}{Product C} \\ \hline Selling price per unit & \$ 30 & 100\% & \$ 20 & 100\% & \$ 15 & 100\% \\ \hline Variable costs per unit & 18 & 60\% & 15 & 75\% & 6 & 40\% \\ \hline Contribution margin per unit & \$ 12 & 40\% & \$ 5 & 25\% & \$ 9 & 60\% \\ \hline \end{tabular}
A particular machine is the bottleneck. On that machine, 3 machine hours are required to produce each unit of Product A,1A, 1 hour is required to produce each unit of Product B, and 2 hours are required to produce each unit of Product C. Rank the products from the most profitable to the least profitable use of the constrained resource (bottleneck). Note: Round your intermediate calculations to 2 decimal places.

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Problem 28520

An extension cord 6 yards long costs $8.46\$ 8.46. What is the price per Hint: There are 3 feet in 1 yard. \$

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Problem 28521

13.
Hector used a tool called an auger to remove corn from a storage bin at a constant rate. The bin contained 24,000 bushels of corn when Hector began to use the auger. After 5 hours of using the auger, 19,350 bushels of corn remained in the bin. If the auger continues to remove corn at this rate, what is the total number of hours Hector will have been using the auger when 12,840 bushels of corn remain in the bin?

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Problem 28522

Fird the median of the set of scores. 44,86,92,58,62,70,9244,86,92,58,62,70,92 58 72 92 70

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Problem 28523

What ta the GPA for a student who carned the grades shown below? The grades are based on a 4.0 point maximum \begin{tabular}{|c|c|c|} \hline Class & Credits & Grade \\ \hline Phys ISOC & 4 & B \\ \hline Phys Lab 160C & 1 & C \\ \hline Math 210A & 4 & B \\ \hline Hist 220A & 3 & D \\ \hline \end{tabular} 2.41 3.63 2.50 2.42

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Problem 28524

Below is a graph of a normal distribution with mean μ=4\mu=4 and standard deviation σ=2\sigma=2. The shaded region represents the probability of obtaining a value from this distribution that is between 2 and 5.
Shade the corresponding region under the standard normal curve below.

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Problem 28525

Topic III Anticipating Patterns: Probability and Simulation
41. Elaine is enrolled in a self-paced course that allows three attempts to pass an examination on the material. She does not study and has 2 out of 10 chances of passing on any one attempt by pure luck. What is Elaine's likelihood of passing, provided that she willhave three attempts to pass the exam? (Assume the attempts are independent because she takes a different exam at each attempt.) a. Explain how you would use a random digit table to simulate Elaine's attempts at the exam. Elaine will of course stop taking the exam as soon as she passes. 01=p25sing,2cl=failing,100 K0-1=p 25 s i n g, 2-c l=f a i l i n g, 100 \mathrm{~K} at e b. Simulate 10 repetitions using the random digits below. What is your estimate of Elaine's likelihood of passing the course? 59636888040463471197193527308984898457856256870206403250369971080225531148611776\begin{array}{llllllll} 59636 & 88804 & 04634 & 71197 & 19352 & 73089 & 84898 & 45785 \\ \hline 62568 & 70206 & 40325 & 03699 & 71080 & 22553 & 11486 & 11776 \end{array}

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Problem 28526

Consider the following demographic data for a hypothetical state. Assume everyone votes along party lines. The state has 16 representatives and a population of 8.4 million; party affiliations are 90%90 \% Democrat and 10%10 \% Republican. Complete parts (a) and (b) below. a. If districts were drawn randomly, what would be the most likely distribution of House seats? \square Republicans, \square Democrats

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Problem 28527

Answer the following. (a) Find an angle between 0 and 2π2 \pi that is coterminal with 11π5\frac{11 \pi}{5}. (b) Find an angle between 00^{\circ} and 360360^{\circ} that is coterminal with 815815^{\circ}.
Give exact values for your answers. (a) Ifradians π\pi (b) \square^{\circ}

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Problem 28528

Use a Regra de L'Hôspital para calcular os seguintes limites, se for necessário: (c) limx0+senxlnx\lim _{x \rightarrow 0^{+}} \operatorname{sen} x \ln x

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Problem 28529

Solve for kk. 36k213k+1=036 k^{2}-13 k+1=0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. k=k= \square

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Problem 28530

30.000+t=168.000(1+0,12)t-30.000+\sum_{t=1}^{6} \frac{8.000}{(1+0,12)^{t}}

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Problem 28531

11. Miguel's paycheck is $871.25\$ 871.25. The paycheck includes 36.5 hours of work and a $50\$ 50 bonus. How much does Miguel earn for each hour of work, not including the bonus?

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Problem 28532

2) ( 0,5 ponto) Um aluno do BCET precisa encontrar a temperatura de um arame quando o tempo t=0,01st=0,01 s. Ele sabe que a função T(t)=1(1+2t)4T(t)=\frac{1}{(1+2 t)^{4}} representa a temperatura do arame no instante 1. Como ele não tem uma calculadora, ele precisará estimar esse valor da temperatura. Use aproximaçāo linear para ajudá-lo a estimar o valor de T(0,01)T(0,01). 3) ( 0,5 ponto) Um pedregulho é jogado em um lago, gerando ondas cinculares concêntgricas. O raio rr da ondulação externa aumenta a uma taxa constante de 1 pé por segundo. Quando o raio atingir 4 pés, a que taxa varia à área da onda? 4) ( 0,5 ponto) Quando uma pessoa tosse, o raio da traquéia diminui, afetando a velocidade do ar na traquéia. Se r0r_{0} é o raio normal da traquéia, a relação entre a velocidade vv do ar e o raio rr da traquéia é dada por uma funçāo da forma v(r)=ar2(r0r)v(r)=a r^{2}\left(r_{0}-r\right), onde aa é uma constante positiva. Determine o raio para o qual a velocidade do ar é máxima.

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Problem 28533

Evaluate the limit: limx03sin2(x)4x\lim _{x \rightarrow 0} \frac{3 \sin ^{2}(x)}{4 x}.

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Problem 28534

Find the exact value of sin132\sin^{-1} \frac{\sqrt{3}}{2}.

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Problem 28535

Solve the compound inequality: 4y+3194y + 3 \geq 19 and 2y+242y + 2 \geq -4. Provide the solution in interval notation.

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Problem 28536

Solve the inequality: 4x8-4x \geq 8 or 2x2>82x - 2 > 8. Provide the solution in interval notation or as \varnothing.

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Problem 28537

Evaluate the limit: limx04sin(x)7x\lim _{x \rightarrow 0} \frac{-4 \sin (x)}{7 x}.

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Problem 28538

Solve: 5x8+6<415|x-8|+6<41. Choose "All reals" if true, "No solution" if false.

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Problem 28539

Solve the inequality: 4w259|4w - 2| - 5 \leq 9. Indicate if solutions are "All reals" or "No solution".

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Problem 28540

How many full weeks to air 163 episodes at 5 episodes/week, and how many unaired episodes will be shown next week?

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Problem 28541

Find the volume of a cylinder with radius 21cm and height 100cm using V=πr2hV = \pi r^2 h.

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Problem 28542

Find the area of a trapezoid fishpond with bases 10m and 7m using A=12(10+7)hA = \frac{1}{2}(10+7)h. Then, calculate the leftover area in a 15m by 20m backyard.

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Problem 28543

Titrate 0.2121 g0.2121 \mathrm{~g} of Na2C2O4\mathrm{Na}_{2} \mathrm{C}_{2} \mathrm{O}_{4} needing 43.31ml43.31 \mathrm{ml} of KMnO4\mathrm{KMnO}_{4}. Find KMnO4\mathrm{KMnO}_{4} molarity.

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Problem 28544

What is 0.27+0.070.27 + 0.07? How many tenths are in 0.340.34? What is 343 \cdot 4 in hundredths?

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Problem 28546

Dissolve 1.26gmAgNO31.26 \mathrm{gm} \mathrm{AgNO}_{3} in 250 mL250 \mathrm{~mL}. Find molarity and millimoles of AgNO3.

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Problem 28547

A pie chart shows fish sales: Fish C = 20 degrees.
(a) What percentage is Fish C? (b) Total fish = 156. How many Fish B? (c) Describe Fish D and E.

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Problem 28548

Divide 3825 by 5 using long division.

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Problem 28549

Round 8.9848.984 to the nearest hundredths place on a number line.

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Problem 28550

Round 8.9848.984 to the nearest hundredths place.

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Problem 28551

A circle is inscribed in a 28 cm square. If π=227\pi = \frac{22}{7}, find: (a) the radius and (b) the unshaded area.

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Problem 28552

Calculate 59.303×10259.303 \times 10^{2} and show the result: 353.90.

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Problem 28553

Solve for θ\theta in 5cosθ3=05 \cos \theta - 3 = 0 (acute) and find 2.40.1tanθ2.4 \cdot 0.1 \tan \theta.

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Problem 28554

Solve for tanθ\tan \theta and sin(900θ\sin(900^{\circ}-\theta) given 5cosθ3=05 \cos \theta - 3 = 0 and θ\theta is acute.

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Problem 28555

Solve and justify the first step for: 1. x+4+3x=72x + 4 + 3x = 72; 2. x+3+x8+x=55x + 3 + x - 8 + x = 55.

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Problem 28556

Solve x+3+x8+x=55x + 3 + x - 8 + x = 55. What property justifies your first step?

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Problem 28557

Find the GCF of 180, 270, and 360: GCF(180,270,360)=?\text{GCF}(180,270,360)= ?

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Problem 28558

Calculate the product 910125\frac{9}{10} \cdot 1 \frac{2}{5} using an area model. What are the equal parts and their area?

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Problem 28559

Graph the quadrilateral with points S(5,3)S(-5,3), T(7,2)T(7,-2), U(7,6)U(7,-6), and V(5,6)V(-5,-6), then calculate its perimeter.

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Problem 28560

In 'Clash of Clans', find distance BDBD to 3 decimal places given AB=35\mathrm{AB}=35, CD=70\mathrm{CD}=70, CBD=94\mathrm{CBD}=94^{\circ}, BCCD=27\mathrm{BC} \mathrm{CD}=27^{\circ}. Then use cosine rule to find ADAD if BD32BD-32 metres.

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Problem 28561

Find the number of pennies Jorge has if he has 1 leftover penny when divided by 2, 3, or 5, and 3 leftover when divided by 4.

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Problem 28562

Jenny has a cone (diameter 20 cm20 \mathrm{~cm}, slant height 60 cm60 \mathrm{~cm}) and a pyramid (edges 4 cm4 \mathrm{~cm}). Find the pyramid's surface area and how many pyramids can be made from the cone's volume.

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Problem 28563

Solve x+3+x8+x=55x+3+x-8+x=55 and 12x+10=14x+54\frac{1}{2} x+10=\frac{1}{4} x+54. Explain your first step and its justification.

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Problem 28564

Calculate the area of a shape with top 20 m, sides 18 m, bottom segments 5 m each, and a cut-out (base 10 m, height 5 m).

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Problem 28565

Find point CC where lines AC:y=3x+6AC: y=-3x+6 and BC:y=3x18BC: y=3x-18 intersect. Calculate angle α\alpha with x-axis, prove ABC\triangle ABC is scalene, find midpoint PP of ACAC, and determine the perpendicular bisector of ACAC.

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Problem 28566

Calculate the IV dose of nitroprusside (Nipride) for a patient weighing 125 lbs at 0.5mcg/kg/min0.5 \mathrm{mcg} / \mathrm{kg} / \mathrm{min}.

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Problem 28567

Divide 4,502 by 10 raised to the power of 1: 4,502÷101=4,502 \div 10^{1}=

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Problem 28568

Solve 12x+10=14x+54\frac{1}{2} x+10=\frac{1}{4} x+54. Explain your first step and the property used.

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Problem 28569

Find the number of pennies Louisa has if:
1. n1mod2n \equiv 1 \mod 2,
2. n1mod3n \equiv 1 \mod 3,
3. n1mod4n \equiv 1 \mod 4,
4. n1mod6n \equiv 1 \mod 6,
5. n2mod5n \equiv 2 \mod 5.

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Problem 28570

Solve x+x+24=189.5\frac{x+x+2}{4}=189.5. Explain the property used for your first step and your reasoning.

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Problem 28572

Solve the equation 14x+18=x\frac{1}{4} x + 18 = x and explain the property used for your first step.

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Problem 28573

The Smith family had a gas meter reading of 23,871ccf23,871 \mathrm{ccf} previously and 23,91023,910 now. How much gas did they use?

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Problem 28574

Each of the six people receives 35÷6\frac{3}{5} \div 6 pounds of peanuts. What is that fraction?

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Problem 28575

Thu is 5 years older than Tuan. Their ages add up to 51. Find their ages: T+(T+5)=51T + (T + 5) = 51.

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Problem 28576

Tomás thinks of a number. If he triples it and subtracts 13, he gets 305. What is the number? Solve: 3x13=3053x - 13 = 305.

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Problem 28577

Find two consecutive numbers whose sum is 123. What are the numbers?

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Problem 28578

Mary's water bill shows readings of 1237ccf1237 \mathrm{ccf} and 1241ccf1241 \mathrm{ccf}. Find her credit for the overpayment at \$5.12 per ccf.

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Problem 28579

Calculate the Wilsons' water bill using the meter readings 3,583 ccf and 3,576 ccf, charged at \$ 8.93 per ccf.

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Problem 28580

Convert 15,708 gallons to ccf using the conversion factor: 1 ccf = 748 gallons.

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Problem 28581

Calculate: 32.689×101=32.689 \times 10^{1}=

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Problem 28582

Find two consecutive even numbers that add up to 246.

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Problem 28583

Find two consecutive even numbers that add up to 246. What are the numbers?

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Problem 28584

Calculate 9.1×1029.1 \times 10^{2}.

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Problem 28585

Joe's age is 3 times Aaron's. Aaron is 6 years older than Christina. Their ages sum to 149. Find Christina's, Joe's, and Aaron's ages.

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Problem 28586

Calculate 4,000÷1034,000 \div 10^{3}.

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Problem 28587

Calculate: 64,000÷10364,000 \div 10^{3}, 64,000÷10464,000 \div 10^{4}, and 64,000÷10564,000 \div 10^{5}.

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Problem 28588

Conjectured impurity in wells is 30%30\%. If 6 wells are tested, find: a) P(exactly 3 impure) b) P(more than 3 impure).

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Problem 28589

Erin's box is 3 m3 \mathrm{~m} long, 1 m1 \mathrm{~m} wide, and 1 m1 \mathrm{~m} high. Fill it with hay at \14percubicmeter.Cost?14 per cubic meter. Cost? Cost=Volume×Price per cubic meter\text{Cost} = \text{Volume} \times \text{Price per cubic meter}$

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Problem 28590

Calculate the surface area of a regular tetrahedron with edge length aa. Options: A. 6a26 a^{2}, B. 3a2\sqrt{3} a^{2}, C. 23a22 \sqrt{3} a^{2}, D. 3a234\frac{3 a^{2} \sqrt{3}}{4}.

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Problem 28591

Solve for yy in the equation: 5=9+y-5=9+y.

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Problem 28592

Calculate the sum: 5.58+0.712=5.58 + 0.712 =

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Problem 28593

Solve for nn in the equation n+24=1\frac{n+2}{4}=1.

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Problem 28594

What is the probability of drawing a red marble first from a jar with 3 red, 4 black, and 2 green marbles? (as a fraction)

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Problem 28595

What is the probability of picking another red marble from Jar A after keeping the first red? Leave your answer as a fraction.

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Problem 28596

Calculate the result of the expression: 5×42÷25 \times 4 - 2 \div 2.

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Problem 28597

What was the speed in m/s if Ramon's class traveled 252 km252 \mathrm{~km} in 2.8 hours? Use s=dts=\frac{d}{t}.

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Problem 28598

Solve the inequality: (x6)2x2250\frac{(x-6)^{2}}{x^{2}-25} \geq 0. List intervals and signs in interval notation.

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Problem 28599

Calculate the density of a substance with volume 300 cm3300 \mathrm{~cm}^{3} and mass 520 g520 \mathrm{~g}.

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Problem 28600

What is the pressure in pascals if Thomas measured it as 1.25 atm1.25 \mathrm{~atm}? Use 1.0 atm=100000 Pa1.0 \mathrm{~atm} = 100000 \mathrm{~Pa}.

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