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Problem 30301

How many kilojoules of heat energy are absorbed by 0.750 pint of water heated from room temp to boiling?

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Problem 30302

Calculate the perimeter of parallelogram ABCDABCD with vertices A(1,7)A(1,7), B(5,4)B(5,4), C(0,5)C(0,-5), and D(4,2)D(-4,-2).

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Problem 30303

Calculate the perimeter of parallelogram ABCDABCD with vertices A(1,7)A(1,7), B(5,4)B(5,4), C(0,5)C(0,-5), and D(4,2)D(-4,-2).

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Problem 30304

How many pairs of shoes are in total at both stores if Orem has 8,947 and Provo has 12,783? Calculate: 8,947+12,7838,947 + 12,783.

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Problem 30305

A rectangle has area A=25in2A = 25 \mathrm{in}^2. If w=10w = 10 in, find ll. If w=15w = 15 in, find ll. Rearrange A=lwA = lw for ll.

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Problem 30306

Calculate the heat needed to raise the temperature of an 8.21 g8.21 \mathrm{~g} gold sample by 6.2C6.2^{\circ} \mathrm{C} with specific heat 0.13 J/gC0.13 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}.

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Problem 30307

解不等式 2x6>162x - 6 > -163x1083x - 10 \leq 8

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Problem 30308

What is 32,408 in base ten? (A) 32,480 (B) 32,408 (C) 30,248 (D) 30,240

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Problem 30309

How much will the temperature of a 15.4 g silver sample increase if 40.5 J of heat is added? (Specific heat: 0.235 J/g°C)

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Problem 30310

Find the value of f(7)f(7) for the function f(x)=2x26f(x)=2 x^{2}-6.

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Problem 30311

Graph the solution to the inequality: 5x17>85x - 17 > 8 or 4x26-4x - 2 \leq 6.

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Problem 30312

How many more tickets did the Felines sell than the Canines if they sold 6,224 and 4,038 tickets respectively?

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Problem 30313

Find the base bb of a triangle when the area A=100A=100 and height h=20h=20 using A=12bhA=\frac{1}{2} b h.

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Problem 30314

Cindy paid \$241.80 in extra charges at \$20.15 per pound. How many pounds did her luggage exceed the limit?

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Problem 30315

How many thorium atoms (240 pm radius) fit in a distance of 1.40 mm1.40 \mathrm{~mm}?

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Problem 30316

Graph the elevations where the service elevator doesn't stop: solve the inequality 4<x15<164 < \frac{x}{15} < 16 for xx.

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Problem 30317

Find the base bb of a triangle with area A=100A=100 and height h=20h=20 using the formula A=12bhA=\frac{1}{2} b h.

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Problem 30318

Find sums or differences that equal 12,492: 8,572+3,9208,572+3,920, 7,279+5,2037,279+5,203, 4,100+8,3924,100+8,392, 15,7283,24615,728-3,246, 19,4126,92019,412-6,920.

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Problem 30319

Factor the polynomial x3+3x24x12x^{3}+3 x^{2}-4 x-12.

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Problem 30320

Calculate the specific heat capacity of 25.0 g25.0 \mathrm{~g} of mercury heated from 25.0C25.0^{\circ} \mathrm{C} to 155C155^{\circ} \mathrm{C} with 455 J.

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Problem 30321

Calculate the temperature change of a 19.0 g aluminum can when 55 J of heat is added, using specific heat 0.903 J/g°C.

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Problem 30322

Find the derivative of the function y=sinx+cosxxy=\frac{\sin x+\cos x}{x}.

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Problem 30323

Find the volume in cubic centimeters (cm3)\left(\mathrm{cm}^{3}\right) of a single thorium atom, assuming it's a sphere.

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Problem 30324

Mr. Olson had 16 L16 \mathrm{~L} of paint. After using 3 L250ml3 \mathrm{~L} 250 \mathrm{ml} and 80%80\% of the rest, how much is left?

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Problem 30325

Calculate how many thorium atoms (240 pm radius) are needed to span 1.40 mm1.40 \mathrm{~mm}.

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Problem 30326

Find the derivative f(π)f^{\prime}(\pi) for the function f(x)=11+cosxf(x)=\frac{1}{1+\cos x}.

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Problem 30327

Calculate (8)2(-8)^{2}. What is the result?

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Problem 30328

A car's tank is 80%80\% full. After using 30%30\% of that fuel, it needs 19 gallons to fill up. Find the tank's full capacity.

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Problem 30329

Calculate (7)2(-7)^{2}. What is the result?

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Problem 30330

A group of hikers descended 1,200 feet in 3 hours. What was the change in elevation per hour? Answer: 400.

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Problem 30331

Calculate (38)2\left(\frac{3}{8}\right)^{2}.

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Problem 30332

Find the weight of one mole of pennies if a dozen weigh 6.022×10236.022 \times 10^{23} grams.

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Problem 30333

Solve the inequality 5z+63z4-5z + 6 \geq -3z - 4 and express the solution in interval notation.

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Problem 30334

Find the average cost per item given the cost function C(x)=18x+1400C(x)=18x+1400 for producing 100 items. What is the average cost?

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Problem 30335

Find the value of the variable var after executing: var = 100; var = var + 100; var = var + var.

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Problem 30336

Determine the slope, mm, of the tangent line to the curve y=7+5x22x3y=7+5 x^{2}-2 x^{3} at x=ax=a.

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Problem 30337

Calculate the value of 4+844 + 8 \cdot 4. What is the result?

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Problem 30339

The temperature starts at 14C-14^{\circ} \mathrm{C} and drops 5C5^{\circ} \mathrm{C}, 3C3^{\circ} \mathrm{C}, and 1C1^{\circ} \mathrm{C}. What's the final temperature?

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Problem 30340

Evaluate: 8+2527=-8 + 2 \cdot 5^{2} - 7 =

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Problem 30341

Miguel borrowed \$500 at 6.5\% simple interest for 6 months. What is the interest amount?

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Problem 30342

Find the percentage equivalent of 74\frac{7}{4}. Options: (A) 1.75%, (B) 12.75%, (C) 175%, (D) 1775%.

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Problem 30343

Solve the inequality x+15x + 1 \geq 5 and express the solution in interval notation.

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Problem 30344

Evaluate: 75(8+6)=7 - 5(8 + 6) =

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Problem 30345

What is the weight in grams of 1 mole of silver atoms, given that one silver atom weighs 1.79×10221.79 \times 10^{-22} grams?

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Problem 30346

Find the value of csc(1305)\csc (-1305).

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Problem 30347

Divide 1.9 by 0.76.

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Problem 30348

Find the weight of 12 silver atoms given that one silver atom weighs 1.79×10221.79 \times 10^{-22} grams.

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Problem 30349

Solve the inequality x+15x + 1 \geq 5 and express the solution in interval notation.

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Problem 30350

Evaluate: 366(610)2=-36-6(6-10)^{2}=

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Problem 30351

4,860 people visited a fair on Saturday, which was 20%20\% more than Friday. Find Friday's visitor count.

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Problem 30352

Evaluate: (20÷5)3+92÷27(20 \div 5)^{3}+9^{2} \div 27

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Problem 30353

Solve for xx: 220,000x+475=0\frac{220,000}{x+475}=0

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Problem 30354

Evaluate: 3+2[1+(18÷32)]-3+2\left[-1+\left(18 \div 3^{2}\right)\right]

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Problem 30355

Calculate: 300.4215.960.213=300.42 - \frac{15.96}{0.213} =

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Problem 30356

Find the second least positive value (in radians) for β\beta given 11π/611\pi/6 and for γ\gamma given tan(γ)=1\tan(\gamma)=1.

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Problem 30357

Five 6th graders raced 3 miles. Johnny was 3rd in 34 min. Other times were -5, -3, +4 min. Find 5th place time.

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Problem 30358

If tan(γ)=1\tan (\gamma)=1, what are the least and second least positive values of γ\gamma in radians?

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Problem 30359

Calculate: (15÷5)+3(97)2=(15 \div 5)+3(9-7)^{2}=

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Problem 30360

Find the distance traveled if speed is 45 miles/hour for 2/3 hour. Use d=rtd = rt.

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Problem 30361

Calculate (5)3+15÷3(-5)^{3} + 15 \div 3. What is the simplified result?

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Problem 30362

Calculate 0.01800.00590.03168\frac{0.0180-0.0059}{0.03168}.

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Problem 30363

Find the complement of an angle measuring 39165039^{\circ} 1650^{\prime \prime}.

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Problem 30364

How many cm are in 1 yard if there are 2.54 cm per inch? Show your work without rounding.

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Problem 30365

A 28.4 g28.4 \mathrm{~g} aluminum sample at 39.4C39.4{ }^{\circ} \mathrm{C} heats 50.0 g50.0 \mathrm{~g} of water from 21.00C21.00^{\circ} \mathrm{C} to 23.00C23.00^{\circ} \mathrm{C}. Find aluminum's specific heat.

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Problem 30366

Evaluate a) (8)2(-8)^{2}, b) (8)2-(-8)^{2}, and c) 82-8^{2}. What are the results?

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Problem 30367

Evaluate these expressions for x=8x = -8: a) x2x^{2}, b) x2-x^{2}, c) (x)2(-x)^{2}.

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Problem 30368

What is the probability of correctly guessing a 5-digit PIN from a 10-key keypad on the first try? Use the multiplication rule.

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Problem 30369

What is the probability of guessing a correct 5-digit pin code from a 7-key keypad on the first try? Simplify your answer.

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Problem 30370

How many Mm\mathrm{Mm} are in 382 dm\mathrm{dm}?

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Problem 30371

Evaluate 9z6-9z - 6 for z=3z = 3. What is the result?

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Problem 30372

Evaluate the piecewise function f(x)f(x) where f(9)f(-9) and find f(4)f(4).

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Problem 30373

Evaluate r2s2r^{2}-s^{2} for r=6r=-6 and s=7s=-7. What is r2s2=?r^{2}-s^{2}=?

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Problem 30374

Calculate the distance between the points (6,5)(-6,-5) and (2,0)(2,0).

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Problem 30375

Calculate the number of CL\mathrm{CL} in 1.18×102floz1.18 \times 10^{2} \mathrm{floz}.

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Problem 30376

Calculate (47)2\left(\frac{4}{7}\right)^{2}.

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Problem 30377

Mix how many gallons of 80%80\% antifreeze with 60 gallons of 30%30\% antifreeze for a 70%70\% mixture? Use six steps.

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Problem 30378

Evaluate: 3+2[2+(45÷32)]-3 + 2[-2 + (45 \div 3^{2})]

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Problem 30379

In a jar, 30%30\% of the beads are red, and there are 500 more blue beads than red. Find the total number of beads.

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Problem 30380

Convert 4.65×1074.65 \times 10^{7} yards to megameters (Mm). How many Mm is that?

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Problem 30381

Solve and write the sum in standard form: a. 1 thousandth + 2 thousandths = == b. 35 thousandths + 8 thousandths = == hundredths c. 6 tenths + 3 thousandths = ==

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Problem 30382

Calculate (9)2(-9)^{2}. What is the result?

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Problem 30383

A cyclist took 3 h to cycle from Town X to Town Y at 12 km/h. If speed increases by 3 km/h, how long will the journey take?

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Problem 30384

Solve the inequality 4x>8-4x > 8 and express the solution in interval notation.

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Problem 30385

Evaluate: 6+3529=-6 + 3 \cdot 5^{2} - 9 =

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Problem 30386

Evaluate: 336(610)2-33 - 6(6 - 10)^{2}. What is the result?

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Problem 30387

Calculate: (4÷2)+4(82)2(4 \div 2) + 4(8-2)^{2}. What is the result?

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Problem 30388

Solve the inequality 5x30-5 x \leq 30 and express the solution in interval notation.

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Problem 30389

Find f+gf+g, fgf-g, fgfg, and fg\frac{f}{g} for given functions f(x)f(x) and g(x)g(x) in three cases.

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Problem 30390

Evaluate r2s2r^{2}-s^{2} for r=3r=-3 and s=4s=-4. What is the result?

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Problem 30391

Find f+gf+g, fgf-g, fgfg, and fg\frac{f}{g} for f(x)=3x+4f(x)=3x+4 and g(x)=2x1g(x)=2x-1.

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Problem 30392

Evaluate a) x2x^{2}, b) x2-x^{2}, and c) (x)2(-x)^{2} for x=8x = -8. Find values for a), b), and c).

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Problem 30393

Calculate 3+96 3 + 9 \cdot 6 . What is the result?

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Problem 30394

Evaluate: (35÷7)3+92÷27(35 \div 7)^{3}+9^{2} \div 27

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Problem 30395

Minimize the cost function C(x,y)=3000+600x2+700y2C(x, y) = 3000 + 600x^2 + 700y^2 for pounds of sulfur (xx) and lead (yy) removed daily.

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Problem 30396

Convert 7.98×1057.98 \times 10^{5} tons to gigagrams (Gg) and report the answer with 3 significant figures.

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Problem 30397

Find the implicit derivative of ycosy=x+1y - \cos y = x + 1.

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Problem 30398

Peirson bought 4134 \frac{1}{3} pounds of shrimp. On Wednesday, he bought double. On Friday, he used D6\frac{D}{6}. How much did he use?

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Problem 30399

Evaluate: 75(9+8)=7 - 5(9 + 8) =

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Problem 30400

Convert 2.25×10122.25 \times 10^{12} yards to TmT m and report the answer to 3 significant figures.

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