Equation

Problem 2301

Which is the scale factor proportion for the enlargement shown?
Not drawn to scale 1x=26\frac{1}{x}=\frac{2}{6} 1x=62\frac{1}{x}=\frac{6}{2} 16=2x\frac{1}{6}=\frac{2}{x} 1 . A Mark this and return Save and Exit

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Problem 2302

13. CCSS Persevere with Problems The equation of a line is y=12x+6y=-\frac{1}{2} x+6. Write an equation in point-slope form for the same line. Explain the steps that you used. \qquad \qquad \qquad

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Problem 2303

1 2 3 4 5 6 7 8 9 10 TIME RENAIN
Jeremy wants to give a 20%20 \% gratuity to his cab driver. His fare is $35.50\$ 35.50. What is the total amount he will pay the driver? $7.10\$ 7.10 \17.7517.75 \42.60 42.60 \$63.90

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Problem 2304

Rachel finished a meal at a diner and received a bill for $10.99\$ 10.99. She charged the bill along with a 15 percent gratuity to her credit card. What is the total amount she charged to her credit card? Round to the nearest cent if necessary. \$11.14 \$12.64 \$13.19 \$13.73

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Problem 2305

raph for the equation y=14(2)xy=-\frac{1}{4}(2)^{x}

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Problem 2306

PRACTICE \& PROBLEM SOLVING APPLY
25. Model With Mathematics A glazier is setting supports in parallel segments to prevent glass breakage during storms. What are the values of xx and yy ? Justify your conclusions. () MP. 4
26. Reason In the parking lot shown, all of the lines for the parking spaces should be parallel. If m3=61m \angle 3=61, what should m1m \angle 1 and m2m \angle 2 be? Explain. (c) MP. 2
27. Communicate Precisely Margaret is in a boat traveling due west. She turned the boat 5050^{\circ} north of due west for a couple of minutes to get around a peninsula. Then she resumed due west again. (-) MP. 6 a. How many degrees would she turn the wheel to resume a due west course? b. What type of angle pair did she use? Are the angles congruent or supplementary?
8. Parallel lines mm and nn intersect parallel lines xx and yy, representing two sets of intersecting railroad tracks. If the minimum measure for 1\angle 1 is 101101^{\circ} and the maximum measure for 1\angle 1 is 106106^{\circ}, what are the minimum and maximum measures for 2\angle 2 ?

ASSESSMENT PRACTICE
29. Classify each angle as congruent to 1\angle 1 or congruent to 2\angle 2.
30. SAT/ACT In the diagram, aba \| b. What is m1m \angle 1 ? (A) 28 (C) 90 (B) 62 (D) 118
31. Performance Task Students on a scavenger hunt are given the map shown and several clues.

Part A The first clue states the following. Skyline Trail forms a transversal with Wood Path and Mission Path. Go to the corners that form same side exterior angles north of Skyline Trail. Which two corners does the clue mean? Use intersections and directions to explain. Part B If the second clue states the following, what trail marker should they go to? Wood and Mission Paths are parallel, and the northeast corner of Wood Path and Skyline Trail forms a 131131^{\circ} angle. The measure of the angle formed by the southwest corner of Skyline Trail and Mission Path is equal to the trail marker number on River Trail you must go to.

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Problem 2307

A group of 32 players forms 4 volleyball teams. If there are 96 players, how many teams can be formed? 3 teams 8 teams 12 teams 24 teams

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Problem 2308

14. CCSS Persevere with Problems Order the steps to write a linear equation in slope-intercept form if you know the slope of the line and a point on the line. \qquad Simplify the equation. \qquad Use the Distributive Property to multiply the slope by xx and x1x_{1}. \qquad Substitute the slope mm and the coordinates of the point (x1,y1)\left(x_{1}, y_{1}\right) into the point-slope formula. \qquad Use the Addition Property of Equality. 226 Chapter 3 Equations in Two Variables

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Problem 2309

Using the appropriate bond energies, calculate the heat of reaction ΔH\Delta H for the following reaction:  H  I 2 NH3HH+NN\begin{array}{c} \text { H } \\ \text { I } \\ 2 \mathrm{~N}-\mathrm{H} \end{array} \boldsymbol{3 H - H + N \equiv N}
You can find a table of bond energies by using the Data button on the ALEKS toolbar. Round your answer to the nearest kJ/mol\mathrm{kJ} / \mathrm{mol}. Note: For clarity, all lone pairs have been omitted from the molecular structures.
In kJmol\frac{\mathrm{kJ}}{\mathrm{mol}}

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Problem 2310

What is the value of nn in the proportion below? n28=47\frac{n}{28}=\frac{4}{7} 1 12 14 16

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Problem 2311

How many milliliters of a 0.263MBa(NO3)20.263 \mathrm{MBa}\left(\mathrm{NO}_{3}\right)_{2} solution will provide 1.355 grams of barium nitrate? a. 78.8 mL\quad 78.8 \mathrm{~mL} b. 39.4 mL\quad 39.4 \mathrm{~mL} c. 9.86 mL\quad 9.86 \mathrm{~mL} d. 19.7 mL\quad 19.7 \mathrm{~mL} e. 67.4 mL\quad 67.4 \mathrm{~mL}

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Problem 2312

Q9. The diagram shows a triangle.
In the diagram, all the measurements are in metres. The perimeter of the triangle is 56 m . The area of the triangle is Am2\mathrm{A} \mathrm{m}^{2}. Work out the value of AA.

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Problem 2313

Unit 4: page 15 Example 4: Pedro left home at noon and cycled 72 km to his family cottage. His sister, Alexandra, left home on her bike at 1 PM and arrived at the cottage 12 minutes after Pedro. If she cycles, on average, 3 km/h3 \mathrm{~km} / \mathrm{h} fasten than Pedro, how long did it take Pedro to make the trip, and what was his average speed?

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Problem 2314

One cup (250. mL) of coffee contains 125 mg of caffeine. One cup of tea has 0.100 g of caffeine. A can of Diet Coke ( 355 mL ) contains 50.mg50 . \mathrm{mg} of caffeine, and a can of Surge (355 mL)(355 \mathrm{~mL}) contains about 65 mg of caffeine. Caffeine is C8H10 N4O2\mathrm{C}_{8} \mathrm{H}_{10} \mathrm{~N}_{4} \mathrm{O}_{2}. a. Which drink has the most caffeine per milliliter? Show how you arrived at your conclusion. (3 points) b. Calculate the molarity of caffeine in the drink you chose in part a. (5 points)

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Problem 2315

19. Nathan works at a hardware store. Today he sold 48 tools. 56\frac{5}{6} of the tools he sold were hammers. How many hammers did Nathan sell today? \qquad

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Problem 2316

The power 929^{2} is equivalent to 81 . What is the value of 929^{-2} ? 81-81 -9 181\frac{1}{81} 19\frac{1}{9}

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Problem 2317

A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, yy, when the company sells xx items? y2=4x2100y^{2}=4 x^{2}-100 y=x2+50x300y=-x^{2}+50 x-300 x=y2+60y400x=-y^{2}+60 y-400 x2=6y2+200x^{2}=-6 y^{2}+200

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Problem 2318

Question 19, 5.3.95 Points: 0 of 1
Use the compound interest formula to determine the final value of the given amount. $250\$ 250 at 5\% compounded daily for 20 years
The final value is $663.3244263\$ 663.3244263. (Round to the nearest cent as needed.)

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Problem 2319

Use slopes to determine if the lines are parallel, perpendicular, or neither.
27. EFundefined\overleftrightarrow{E F} and GHundefined\overleftrightarrow{G H} for E(8,2),F(3,4),G(6,1)E(8,2), F(-3,4), G(6,1), and H(4,3)H(-4,3)

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Problem 2320

Lesson 16 Review - DORISM...
1 A balloon is 5 feet above the ground. It is released and floats up 6 feet every second. Write an equation to model the height of the balloon as a function of time in seconds. Write your answers in the blanks.

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Problem 2321

Lorraine writes the equation shown. x2+y15=0x^{2}+y-15=0
She wants to describe the equation using the term relation and the term function. The equation represents \square

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Problem 2322

1) Siemeh Funds Limited has invested in GHф 1,000 , five-year bonds with a coupon rate of 20%20 \% paid yearly. The bonds have three years to maturity and are currently trading with a yield to maturity of 21%21 \% on the fixed income market. What is the duration of the bonds? yy [8 marks]

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Problem 2323

1 2 3 ( 4 5 \square \square \square \square \square
The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30 -pound dog35\operatorname{dog} \frac{3}{5} milligram of the medicine, which equation relates the weight, ww, and the dosage, dd ? α=150w\alpha=\frac{1}{50} w α=35w\alpha=\frac{3}{5} w d=18wd=18 w d=50wd=50 w

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Problem 2324

Which graph or equation represents a nonproportional relationship?
C y=0.375xy=0.375 x
D y=59xy=\frac{5}{9} x Mark this and return Save and Exit Next Sulbmt

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Problem 2325

2xy5x=3x+1-2 x y-5 x=3 x+1

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Problem 2326

Suppose that (56,y)\left(-\frac{5}{6}, y\right) is a point in Quadrant III lying on the unit circle. Find yy. Write the exact value, not a decimal approximation.

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Problem 2327

20. Thermodynamics texts 4{ }^{4} use the relationship (yx)(zy)(xz)=1.\left(\frac{\partial y}{\partial x}\right)\left(\frac{\partial z}{\partial y}\right)\left(\frac{\partial x}{\partial z}\right)=-1 .
Explain the meaning of this equation and prove that it is true. [HinT: Start with a relationship F(x,y,z)=0F(x, y, z)=0 that defines x=f(y,z),y=g(x,z)x=f(y, z), y=g(x, z), and z=h(x,y)z=h(x, y) and differentiate implicitly.]

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Problem 2328

Question 8
Write an equation for a rational function with: Vertical asymptotes at x=4x=-4 and x=6x=6 xx intercepts at x=1x=1 and x=5x=5 Horizontal asymptote at y=6y=6 y=y= Question Help: Video Message instructor Submit Question

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Problem 2329

\#5: Solve 2x214x+27=02 x^{\wedge} 2-14 x+27=0

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Problem 2330

Solve. u222u=9u^{2}-22 u=9
Enter your answers, as decimals rounded to the nearest tenth, in the boxes. u=u= \square or \square

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Problem 2331

Complete the process of solving the equation. Fill in the missing term on each line. Simplify any fractions. q16+10=13q16= Subtract 10 from both sides q= Multiply both sides by 16\begin{aligned} \frac{q}{16}+10 & =13 \\ \frac{q}{16} & =\square \quad \text { Subtract } 10 \text { from both sides } \\ q & =\square \quad \text { Multiply both sides by } 16 \end{aligned}

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Problem 2332

cost of the meal equally between the four of them. The total cost of the meal is $85\$ 85. Work out how much each pay.

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Problem 2333

7mOnundefined7 \widehat{m O n} et nOpundefined\widehat{n O p} sont deux angles adjacents supplementaires tels que mon =50n=50^{n}.
1. Calcule nop 22(O2^{2}(O,)estlabissecticedemon.(OW)cellede) est la bissectice de mon. (OW) celle de nop Calute xON0\mathrm{xON}_{0}

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Problem 2334

A volleyball is served by a 6 -foot player at an initial upward velocity of 33 feet per second. The situation is modeled by the equation h=16t2+33t+6hh=-16 t^{2}+33 t+6 h representing the height in feet and tt representing the time in seconds. Using this equation, define the domain of the ball when it reaches its maximum height. (1 point) 23.01 feet 1.22 seconds -1.03 seconds 1.03 seconds

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Problem 2335

A 25 -foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 6565^{\circ} angle with a short vertical support.
What is the length xx of a diagonal support, to the nearest tenth of a foot? xx \approx \qquad feet
The solution is

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Problem 2336

Mache den Nenner rational. 12=\frac{1}{\sqrt{2}}= b)

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Problem 2337

Q6 (6 points) Find the general equation of the plane containing the origin and points P(1,2,3)P(1,2,3) and Q(1,1,1)Q(1,-1,1).

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Problem 2338

\qquad 2. Solve (x5)2=15(x-5)^{2}=15.

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Problem 2339

52 The reaction between potassium superoxide, KO2\mathrm{KO}_{2}, and CO2\mathrm{CO}_{2} 4KO2+2CO22 K2CO3+3O24 \mathrm{KO}_{2}+2 \mathrm{CO}_{2} \longrightarrow 2 \mathrm{~K}_{2} \mathrm{CO}_{3}+3 \mathrm{O}_{2} is used as a source of O2\mathrm{O}_{2} and absorber of CO2\mathrm{CO}_{2} in self-contained breathing equipment used by rescue workers. (a) How many moles of O2\mathrm{O}_{2} are produced when 0.400 mol of KO2\mathrm{KO}_{2} reacts in this fashion? (b) How many grams of KO2\mathrm{KO}_{2} are needed to form 7.50 g of O2\mathrm{O}_{2} ?

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Problem 2340

C. 9. Solve: 8x(10x3)=0=802224x8 x(10 x-3)=0=802^{2}-24 x A x=0x=0 or x=310x=-\frac{3}{10} B x=18x=\frac{1}{8} or x=310x=-\frac{3}{10} (C) x=0x=0 or x=310x=\frac{3}{10}
D x=18x=\frac{1}{8} or x=310x=\frac{3}{10}

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Problem 2341

Example 1 : mare stha subsect of the fomula 8u+3s=4u7v8 u+3 s=4 u-7 v

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Problem 2342

Explain why the triangles are similar. Then find the missing length, x .
Choose the reason that the triangles are similar. A. All right triangles are similar. B. The Pythagorean theorem states that a2+b2=c2\mathrm{a}^{2}+\mathrm{b}^{2}=\mathrm{c}^{2}. Thus, the corresponding sides are proportional. C. Both triangles are right and scalene. D. One angle pair is given to have the same measure (right triangles). Another angle pair consists of vertical angles with the same measure. Thus, two angles of the large triangl measure to two angles of the small triangle.

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Problem 2343

In a certain year the population of a country reached 321 million. The overall birth rate was 13.5 births per 1000 , and the overall death rate was 8.8 deaths per 1000 . Complete parts (a) through (d) below. a. Approximately how many births were there in the country in that year?
There were \square births in the country. (Type an integer or a decimal.)

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Problem 2344

0955/93/9/4/97 (a) A spring of eriginal length 8.0 em is extended io a total lengin of 5.0 em by a forea of 8.0 N18.0 \mathrm{~N}_{1}
Assuming the limit of propertienality of the spring has net been reached, ealeulate the foree needed to extend it to a total length of 6,0em6,0 \mathrm{em}.

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Problem 2345

In TUV\triangle \mathrm{TUV}, the measure of V=90,UT=5,VU=4\angle \mathrm{V}=90^{\circ}, \mathrm{UT}=5, \mathrm{VU}=4, and TV=3\mathrm{TV}=3. What is the value of the cosine of U\angle \mathrm{U} to the nearest hundredth?

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Problem 2346

Use an algebraic equation to find the measure of each angle that is represented in terms of x 3x+20° 3x+40° ma 3x+20° ma 3x+40°

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Problem 2347

Solve for xx. Round to the nearest tenth, if necessary.

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Problem 2348

The roots of a quadratic equation are: x=m±m2+4m2\quad x=\frac{m \pm \sqrt{m^{2}+4 m}}{2}. Calculate the smallest integral value of mm for which the roots are non-real.
Solve for xx if x=x+x+x+x+x+x=\sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x+\ldots}}}}}

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Problem 2349

Score: 2/5 Penalty: none
Question Watch Video Show Examples
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 7777^{\circ} with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary. Answer Attempt 1 out of 2

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Problem 2350

Question Watch Video Show Examples
From her eye, which stands 1.69 meters above the ground, Sadie measures the angle of elevation to the top of a prominent skyscraper to be 3636^{\circ}. If she is standing at a horizontal distance of 275 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest hundredth of a meter if necessary.

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Problem 2351

Suav wants to use a sheet of fiberboard 27 inches long to create a skateboard ramp with a 1919^{\circ} angle of elevation from the ground. How high will the ramp rise from the ground at its highest end? Round your answer to the nearest hundredth of an inch if necessary.

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Problem 2352

Homework
No of springs =6=6 Fn for single spring =500 N=500 \mathrm{~N} μ=0.3\mu=0.3
Dimensions of friction disk: d0=160 mm, di=110 mm\mathrm{d}_{0}=160 \mathrm{~mm}, \mathrm{~d}_{i}=110 \mathrm{~mm}  (Ps) skily \begin{array}{l} \text { (Ps) skily } \end{array} do=160 mm\mathrm{d}_{\mathrm{o}}=160 \mathrm{~mm}, di=110 mm\mathrm{di}=110 \mathrm{~mm} sisia YI dales

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Problem 2353

1n=m01cos(ncos1x)cos(mcos1x)11x2dx12π(1+cos2nθ)dθ12(θ+sin2nθ2)]0π\begin{array}{l} \int_{-1}^{n}=m \\ \int_{0}^{1} \cos \left(n \cos ^{-1} x\right) \cos \left(m \cdot \cos ^{-1} x\right) \frac{1}{\sqrt{1-x^{2}}} d x \\ \int_{\frac{1}{2}}^{\pi}(1+\cos 2 n \theta) d \theta \\ \left.\frac{1}{2}\left(\theta+\frac{\sin 2 n \theta}{2}\right)\right]_{0}^{\pi} \end{array} n-m im

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Problem 2354

If 3xy=123 x-y=12, what is the value of 8x2y\frac{8^{x}}{2^{y}} ? A) 2122^{12} B) 444^{4} C) 828^{2} D) The value cannot be determined from the information given.

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Problem 2355

\begin{align*} \text{a. Convert } & \text{EC\$25.50 to TT\$ using the conversion rate.} \\ \text{b. Convert } & \text{GUY\$400 to BDS\$ using the conversion rate.} \\ \text{c. Convert } & \text{JAM\$405.50 to EC\$ using the conversion rate.} \\ \text{d. Convert } & \text{£75.75 to EC\$ using the conversion rate.} \\ \text{e. Convert } & \text{EC\$1428.80 to US\$ using the conversion rate.} \\ \end{align*}
\begin{align*} \text{Exchange Rate Table:} \\ \text{1 USD} & = 1 \text{ USD} \\ \text{1 Euro} & = 0.876 \text{ USD} \\ \text{1 British Pound (f)} & = 0.776 \text{ USD} \\ \text{1 Trinidad and Tobago Dollar (T)} & = 1.774 \text{ USD} \\ \text{1 Japanese Yen} & = 109.638 \text{ USD} \\ \text{1 Canadian Dollar} & = 1.330 \text{ USD} \\ \text{1 Eastern Caribbean Dollar (EC)} & = 2.70 \text{ USD} \\ \text{1 Chinese Yuan} & = 6.798 \text{ USD} \\ \text{1 Argentine Peso} & = 37.806 \text{ USD} \\ \text{1 Jamaican Dollar (JMD)} & = 131.87 \text{ USD} \\ \text{1 Guyanese Dollar} & = 236.3 \text{ USD} \\ \text{1 Barbados Dollar} & = 2.00 \text{ USD} \\ \end{align*}

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Problem 2356

What is the solution set of 2sin(x2)1=02 \sin \left(\frac{x}{2}\right)-1=0, where 0x2π0 \leq x \leq 2 \pi ? {π6,5π6}\left\{\frac{\pi}{6}, \frac{5 \pi}{6}\right\} {π3,2π3}\left\{\frac{\pi}{3}, \frac{2 \pi}{3}\right\} {π3,5π3}\left\{\frac{\pi}{3}, \frac{5 \pi}{3}\right\} {π2,3π2}\left\{\frac{\pi}{2}, \frac{3 \pi}{2}\right\} {2π3,4π3}\left\{\frac{2 \pi}{3}, \frac{4 \pi}{3}\right\}

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Problem 2357

1) For cvery 2 red candies there are 3 green candies. How many red if there are 12 green? Dram a picture or diagram to prove your answer.

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Problem 2358

5. 3121.6=3 \frac{1}{2}-1.6=

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Problem 2359

5.818+68=5.818+68=

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Problem 2360

mplete the following sentence. 1{ }^{-1} denotes the inverse of a function ff, then the graphs of ff and f1f^{-1} are symmetric with respect to the line \square . (pe an equation.)

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Problem 2361

16. Find the value of ee. e=e= \qquad
17. Find the value of vv. v=v= \qquad
18. Find xm//nx \| m / / n. x=x= \qquad
19. Find the missing angle २ = \qquad
21. Solve for xx. x=x= \qquad \qquad
22. Solve for xx. x=x=

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Problem 2362

4cr=(0,2)(0,2)c2=164c2=±12c=±234 \left\lvert\, \begin{array}{l} c-r=(0,2)(0,-2) \\ c^{2}=16-4 \\ c^{2}= \pm \sqrt{12} \\ c= \pm 2 \sqrt{3} \end{array}\right. 3) (x1)29+(y+5)24=1\frac{(x-1)^{2}}{9}+\frac{(y+5)^{2}}{4}=1 c=(1,5)c=(1,-5) 5) x2+9y2+6x90y+225=0x^{2}+9 y^{2}+6 x-90 y+225=0

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Problem 2363

After a dilation, triangle A(0,0),B(0,4),C(6,0)\mathrm{A}(0,0), \mathrm{B}(0,4), \mathrm{C}(6,0) becomes triangle A(0,0),B(0,10),C(15,0)A^{\prime}(0,0), B^{\prime}(0,10), C^{\prime}(15,0).
Choose the scale factor for this dilation. (A) 2 (B) 2.5 (c) 1.5 (D) 3

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Problem 2364

Solve for yy. 6y+9=18y3y+816 y+9=18 y-3 y+81
Simplify your answer as much as possible. y=y=

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Problem 2365

Select the correct answer. The directrix and vertex of a parabola are shown on the graph. What is the vertex form of the equation for the associated parabola? A. x=14(y+2)22x=\frac{1}{4}(y+2)^{2}-2 B. x=11(y2)2+2x=\frac{1}{1}(y-2)^{2}+2 C. x=14(y+2)22x=-\frac{1}{4}(y+2)^{2}-2 D. x=14(y+2)2+2x=-\frac{1}{4}(y+2)^{2}+2 Reset Next

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Problem 2366

For the given equation, list the intercepts and test for symmetry. y=x23x28y=x^{2}-3 x-28
What is/are the intercept(s)? Select the correct choice and, if necessary, fill in the answer box within your choice. A. The intercept(s) is/are \square . (Type an ordered pair. Use a comma to separate answers as needed.) B. There are no intercepts.

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Problem 2367

Q How may many bricks of size 22 cm×10 cm22 \mathrm{~cm} \times 10 \mathrm{~cm} ×7 cm\times 7 \mathrm{~cm} are required to construct a woll of .33 m long, 3.5 m higi \& 40 cm thick, If cement \& sould used in construction occupy 1/101 / 10 part of the wall?

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Problem 2368

Your business requests a 3-month loan for $450,000\$ 450,000. What will be the interest paid at the end of the term if the business risk percentage is assessed at 2.0%2.0 \% and LIBOR is at 1.8\%? Interest Paid = \$[?]
Round to the nearest hundredth.

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Problem 2369

At birth, a puppy weighed 2.2 pounds. At the end of eight months, the puppy weighed 71/271 / 2 times its original weight. What is the puppy's weight at the end of the eight months?

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Problem 2370

ep 2: Select Medication Amount To Be Administered
Client Chart
Client Name: Nora Gentry MRN: 33910301 Allergies: NKDA Diagnosis: dementia, hypertension
DOB: 11/12/1942 Provider: Dr. Tilles Weight: 191.9lbs.(87.05 kg191.9 \mathrm{lbs} .(87.05 \mathrm{~kg} )
Drug to be given carbamazepine (200mg) Medication: carbamazepine (Tegretol) 200mg tab Classification: antiepileptic,analgesic Body Systems: cognition and sensation
What amount of this medication should you give ? 0 \square tabs Administer

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Problem 2371

Sabah has $450\$ 450 to pay for college textbooks. She expects to pay about $75\$ 75 per book. Her friend told her that 4 of them can be checked out of the library for free.
Complete the equation below to find the total number of books that Sabah can get for her classes. Use bb to represent the total books. CLEAR CHECh \square ( \square - \square \square

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Problem 2372

Solve each equation to three decimal places.
10. 3x41=753 x^{4}-1=75
12. 23x65=20\frac{2}{3} \cdot \sqrt[5]{x^{6}}=20
14. Use this space to make a study guide for yourself.
11. (8x+1)5=743(8 x+1)^{5}=743
13. x7=100x4x^{-7}=100 x^{4}

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Problem 2373

16. In JKL\triangle J K L, if mKm \angle K is nine more than mJm \angle J and mLm \angle L is 21 less than twice mJm \angle J, find the meas of each angle. mJ=mK=mL=\begin{array}{l} m \angle J= \\ m \angle K= \\ m \angle L= \end{array}

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Problem 2374

Question 15 of 30
You must give your patient a dosage of 150 mg , but you only have 1 tablet labeled 50 mg . What additional dosage in mg will you need?
Enter your answer: \square Submit Answer Continue

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Problem 2375

16. WQ\overline{W Q} and TQ\overline{T Q} are tangent to circle RR. WQ =3x4=3 x-4 and TQ=5x18T Q=5 x-18. Find the value of xx.

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Problem 2376

Listen
Solve for the requested variable. y varies directly as x , and y=6\mathrm{y}=6 when x=3\mathrm{x}=3. Find y when x=9\mathrm{x}=9. \square A

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Problem 2377

In the accompanying diagram of right triangle ABC,CA B C, \angle C is a right angle. Which equation is valid for ABC\triangle A B C ? A. cosA=cb\cos A=\frac{c}{b} B. tanA=ba\tan A=\frac{b}{a} C. sinA=ac\sin A=\frac{a}{c} D. cosB=ab\cos B=\frac{a}{b}

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Problem 2378

data below shows the average cost of a loaf of white bread. \begin{tabular}{|c|c|} \hline Year & \begin{tabular}{c} Average Cost for a \\ Loaf of White \\ Bread \end{tabular} \\ \hline 1980 & $0.50\$ 0.50 \\ \hline 1985 & $0.55\$ 0.55 \\ \hline 1990 & $0.69\$ 0.69 \\ \hline 1995 & $0.77\$ 0.77 \\ \hline 2000 & $0.91\$ 0.91 \\ \hline 005 & $1.00\$ 1.00 \\ \hline 007 & $1.15\$ 1.15 \\ \hline \end{tabular} a. Write the equation for line of best fit where xx represents yea since 1980 and yy represents the cost of bread. b. What is the coefficient of correlation? 0.9859 c. What does it tell us about the data? \qquad d. Predict the cost of bread in 2012. \qquad

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Problem 2379

10. En un laboratorio se cuenta con 400 mililitros de una disolución acuosa de CaCl2 de concentración 20\% masa/volumen. Si se pretende disminuir la concentración de esa mezcla hasta un valor igual a 5%5 \% masa/volumen, sería conveniente: A) adicionar más soluto. B) evaporar una parte del solvente. C) calentar a ebullición la solución. D) adicionar solvente a la disolución. E) ninguna de las anteriores

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Problem 2380

The equations of three lines are given below.
Line 1: y=2x+7y=-2 x+7 Line 2: y=2x5y=-2 x-5 Line 3:6x+3y=63: 6 x+3 y=6
For each pair of lines, determine whether they are parallel, perpendicular, or neither.
Line 1 and Line 2 : Parallel Perpendicular Neither Line 1 and Line 3 : Parallel Perpendicular Neither Line 2 and Line 3 : Parallel Perpendicular Neither

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Problem 2381

(ab)2=(a+b)2=3(ab)2=7(x+y)2=\begin{aligned} (a-b)^{2} & = \\ (a+b)^{2} & = \\ 3(a-b)^{2} & = \\ 7(x+y)^{2} & = \end{aligned}
Réduis les expressions

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Problem 2382

4. Solve this equation. Explain or show your reasoning. 13x+2=12(2x12)\frac{1}{3} x+2=\frac{1}{2}(2 x-12)

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Problem 2383

أ- اذا كان راس شركة ما ( 10 مليون دينار) , وتم زيادة راس مال مجانيه حتى اصبح ( 14 مليون
دينار ) المطلوب: احسب السعر القديم للسهم ( سعر الاغلاق السابق ) اذا علمت بان سعر التداول الجديد بعد الثوزيع هو ( 7 التوان دينار)

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Problem 2384

To test H0μ=40\mathrm{H}_{0} \cdot \mu=40 versus H1μ<40\mathrm{H}_{1} \cdot \mu<40, a random sample of size n=25n=25 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the tt-Distribution Area in Right Tail (a) If xˉ=37.5\bar{x}=37.5 and s=11.9s=11.9, compute the test statistic, t0=\mathrm{t}_{0}= \square (Round to three decimal places as needed.)

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Problem 2385

8. 7x41=137 x-41=-13
9. 0.6(g+2)=3.60.6(g+2)=3.6 x=x= \qquad \qquad g=g=
10. 3(m5)=6(m+1)3(m-5)=6(m+1)
11. 10(w4)=4(w+4)+4w10(w-4)=4(w+4)+4 w m=m= \qquad w=w= \qquad

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Problem 2386

Question 7 of 10
Solve the equation for xx 7ln(x)=297^{\ln (x)}=29 (Express numbers in exact form. Use symbolic notation and fractions where needed.) x=x= \square

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Problem 2387

A car is purchased for $22,000\$ 22,000. After each year, the resale value decreases by 30%30 \%. What will the resale value be after 3 years? Use the calculator provided and round your answer to the nearest dollar.

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Problem 2388

Select the correct answer.
If the area (in square units) of the region under the curve of the function f(x)=4f(x)=4 on the interval [1,a][1, a] is 20 square units, and a>1a>1, then what is the value of aa ? A. 5 B. 6 C. 8 D. 9

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Problem 2389

At least one of the answers above is NOT correct.
A street light is at the top of a 22 ft pole. A 6 ft tall girl walks along a straight path away from the pole with a speed of 5ft/sec5 \mathrm{ft} / \mathrm{sec}. At what rate is the tip of her shadow moving away from the light (ie. away from the top of the pole) when the girl is 40 ft away from the pole? Answer: (118)2[40222+(118)2+402(5)\left(\frac{11}{8}\right)^{2}\left[\frac{40}{\sqrt{22^{2}+\left(\frac{11}{8}\right)^{2}+40^{2}}}(5)\right.
How fast is her shadow lengthening? Answer: 158\frac{15}{8}
Note: You can earn partial credit on this problem. Preview My Answers Submin' Answers

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Problem 2390

Given the equation y=5sin(6x+18)+4y=5 \sin (6 x+18)+4
The amplitude is: \square 5 050^{5}
The period is: 2π6\frac{2 \pi}{6} \square 080^{8}
The horizontal shift is: 18 \square 0530^{5} 3 units to the \square Left 080^{8}
The midline is: y=y= \square 00^{\circ}

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Problem 2391

Question 10 of 20 , Step 1 of 1 9/30 6
Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.  Point (0,10); Slope =14\text { Point }(0,10) ; \text { Slope }=\frac{1}{4}

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Problem 2392

Pecro left home at noon and cycled 72 kim to his Jamily coltage. His sister, Alexandra, left home on her bike at 1 PM and arrived at the coltage 12 minutes auter peoro. If she cycles, on average 3 kmt h3 \mathrm{~km} t \mathrm{~h} Vaster than Pecro, how long dit it take Peoro to make the trip and what was his aerage speed?

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Problem 2393

on 4 of 6
Find the tangent line to the curve y=4exy=4 e^{x} at the point (0,4)(0,4). y=y= \qquad
Find the normal line to the curve y=4exy=4 e^{x} at the point (0,4)(0,4). y=y= \square

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Problem 2394

Correct
Consider the following equation. 3y+21=03 y+21=0
Step 1 of 3 : Express the given equation in standard form by solving for yy. Simplify your answer.
Answer

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Problem 2395

3rd 3^{\text {rd }} point on the line: You Try 3: Given the point (3,1)(-3,-1) and slope \qquad 5 Find a second point on the line that lies to the right of the given point.

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Problem 2396

Hassan lined up the interior angles of the triangle along the line belou
What is the measure of the missing angle along the line?

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Problem 2397

Previous Problem Problem List Next Problem
SN2 assign 10: Problem 4 (1 point)
The half-life of radioactive strontium-90 is approximately 32 years. In 1964, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years does it take until only 12 percent of the original amount absorbed remains? time == \square years

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Problem 2398

Cool-down The LL-shaped conductor in the figure below moves at 10 m/s10 \mathrm{~m} / \mathrm{s} across and touches a stationary LL-shaped conductor in a 0.1 T magnetic field. The two vertices overlap, so that the enclosed area is zero, at t=0t=0. The conductor has a resistance of 0.02Ω0.02 \Omega per meter. V=10 mV=10 \mathrm{~m} i. What is the direction of the induced current? ii. Find expressions for the induced emf and the induced current as functions of time. iii. Evaluate the induced emf and current at t=0.1 st=0.1 \mathrm{~s}.

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Problem 2399

A golf ball is hit at an angle of 4545^{\circ} with the horizontal. If the initial velocity of the ball is 52 m/s52 \mathrm{~m} / \mathrm{s}, how far will it travel horizontally before striking the ground?

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Problem 2400

10.What is the equation in slope-intercept form of the line passing through the point (12,1)(-12,-1) and parallel to the line represented by y=34x1y=\frac{3}{4} x-1 ? A. y=34x7y=\frac{3}{4} x-7 C. y=34x25y=-\frac{3}{4} x-25 B. y=43x32y=-\frac{4}{3} x-32 D. y=3x7y=-3 x-7

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