Expression

Problem 7401

Factor the trinomial: 5x2+24x+165x^{2} + 24x + 16.

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Problem 7402

Add the mixed numbers 3143 \frac{1}{4} and 4144 \frac{1}{4}.

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Problem 7403

Simplify the expression: 8x8(4y2x)-8 x - 8(-4 y - 2 x).

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Problem 7404

Find the area of a rectangle with length (x8)(x-8) and width (x+11)(x+11). Which expression represents this area? A. x23x88x^{2}-3 x-88 B. x23x+88x^{2}-3 x+88 C. x2+3x88x^{2}+3 x-88 D. x2+3x+88x^{2}+3 x+88

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Problem 7405

A patient lost 5 pounds/month for 15 months. What is the total weight change? Calculate: 5×155 \times 15.

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Problem 7406

The stock price dropped \$2.25 daily for 3 days. What is the total loss in value?

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Problem 7407

You have 8 mechanics each working 8 hours. With 3 absent, how many hours are left for auto repairs on Tuesday?

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Problem 7408

Find the equivalent expression for 2x2+8x9+4x+7x2+2-2 x^{2}+8 x-9+4 x+7 x^{2}+2. Options: A. 5x2+12x75 x^{2}+12 x-7, B. 5x2+4x+11-5 x^{2}+4 x+11, C. 9x212x+11-9 x^{2}-12 x+11, D. 9x2+4x7-9 x^{2}+4 x-7.

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Problem 7409

Expand (x+5)(x7)(x+5)(x-7) using the distributive property. Fill in the results.

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Problem 7410

Find the value of a3b2a^{3}-b^{2} for a=7a=-7 and b=3b=-3. Options: A. -334 B. -12 C. -352 D. -30

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Problem 7411

Simplify 16x124\sqrt[4]{16 x^{12}} for x>0x>0.

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Problem 7412

Simplify x244\sqrt[4]{x^{24}} for x>0x>0.

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Problem 7413

Simplify x243\sqrt[3]{x^{24}} for x>0x>0.

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Problem 7414

Calculate the total cost of two x-rays: one costs \$630 and the other \$950. What is the total?

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Problem 7415

Simplify 64x2\sqrt{64 x^{2}} for x>0x>0.

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Problem 7416

Find the total temperature drop after reducing it by 0.07F0.07^{\circ} \mathrm{F} each hour for 7 hours.

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Problem 7417

Simplify the following expressions with only positive exponents:
1) 2m22m32 m^{2} \cdot 2 m^{3} 2) m42m3m^{4} \cdot 2 m^{-3} 3) 4r32r24 r^{-3} \cdot 2 r^{2} 4) 4n42n34 n^{4} \cdot 2 n^{-3} 5) 2k4,4k2 k^{4}, 4 k 6) 2x3y32x1y32 x^{3} y^{-3} \cdot 2 x^{-1} y^{3} 7) 2y2+3x2 y^{2}+3 x 8) 4v3vu24 v^{3} \cdot v u^{2} 9) 4a3b2+3a4b34 a^{3} b^{2}+3 a^{-4} b^{-3} 10) x2y4x3y2x^{2} y^{-4} \cdot x^{3} y^{2}

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Problem 7418

Simplify 100x18\sqrt{100 x^{18}} for x>0x>0.

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Problem 7419

Simplify 27x213\sqrt[3]{27 x^{21}} for x>0x>0.

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Problem 7420

Simplify 6x280x+x45x36x^{2}\sqrt{80x}+x\sqrt{45x^{3}}.

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Problem 7421

What is the total temperature drop if you decrease it by 0.07F0.07^{\circ} \mathrm{F} per hour for 7 hours?

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Problem 7422

Simplify the expression: 572x7x50x55 \sqrt{72 x^{7}} - x \sqrt{50 x^{5}}.

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Problem 7423

Simplify 6x150x3+624x5-6 x \sqrt{150 x^{3}} + 6 \sqrt{24 x^{5}} to its simplest radical form.

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Problem 7424

Simplify the expression: 5112x33x63x5 \sqrt{112 x^{3}} - 3 x \sqrt{63 x}.

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Problem 7425

Simplify the expression: 5x24x5-\sqrt{5 x^{2}}-4 x \sqrt{5}.

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Problem 7426

Evaluate 6+34+506|-6| + 3|4| + |-5| - 0 \cdot 6. What is the result?

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Problem 7427

Simplify x220x80x2-x^{2} \sqrt{20}-x \sqrt{80 x^{2}} to its simplest radical form.

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Problem 7428

Evaluate c2+b2\left|c^{2}+b^{2}\right| for a=5a=5, b=3b=-3, and c=2c=-2.

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Problem 7429

Calculate 53|5| - |-3|.

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Problem 7430

Simplify the expression 4x23x3+7x312x-4x^2\sqrt{3x^3} + 7x^3\sqrt{12x} into simplest radical form.

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Problem 7431

Evaluate 135+713 - 5 + 7 and determine which of the following is correct: 15, 5, -15, -5.

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Problem 7432

Simplify: 303^{0}. What is the result?

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Problem 7433

Evaluate 55|5| - |-5|. Options: -25, 10, 25, 0.

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Problem 7434

Calculate the value of the expression (62)4\left(6^{2}\right)^{4}.

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Problem 7435

Simplify 4x23x3+7x312x-4 x^{2} \sqrt{3 x^{3}}+7 x^{3} \sqrt{12 x} to its simplest radical form.

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Problem 7436

Simplify 9175x23x79 \sqrt{175 x^{2}} - 3 x \sqrt{7} to its simplest radical form.

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Problem 7437

Simplify 4x23x3+7x312x-4 x^{2} \sqrt{3 x^{3}} + 7 x^{3} \sqrt{12 x} to its simplest radical form.

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Problem 7438

Simplify the expression: 116114\frac{11^{6}}{11^{4}}. What is the result?

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Problem 7439

Simplify the expression: (3x2y3x3)3\left(\frac{3 x^{2} y^{3}}{x^{3}}\right)^{3}.

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Problem 7440

Simplify x3x53x23x3-x \sqrt{3 x^{5}}-3 x^{2} \sqrt{3 x^{3}} to its simplest radical form.

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Problem 7441

Simplify 4x1923x24 x \sqrt{192}-\sqrt{3 x^{2}} to its simplest radical form.

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Problem 7442

Simplify the expression: 12a3b6c53a2b4c5\frac{12 a^{3} b^{6} c^{5}}{3 a^{2} b^{4} c^{5}}

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Problem 7443

Simplify: (3x2y3z3)3\left(\frac{3 x^{2} y^{3}}{z^{3}}\right)^{3}

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Problem 7444

Find the equivalent expression for (2w2)3(8w6)\left(2 w^{-2}\right)^{3}\left(8 w^{6}\right).

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Problem 7445

Find the equivalent expression for cd4c2d8\frac{c d^{4}}{c^{2} d^{8}}.

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Problem 7446

Convert 6873 x 10^6 into scientific notation: [?] x 10^[?].

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Problem 7447

Find the density of a liquid with a volume of 9.0 L9.0 \mathrm{~L} and mass of 7.2 kg7.2 \mathrm{~kg} in kg/L\mathrm{kg} / \mathrm{L}.

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Problem 7448

Calculate 0.0003162\frac{0.0003}{162} and express the answer in scientific notation with the correct significant figures.

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Problem 7449

Count the significant figures in the number 0.00521.

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Problem 7450

Tin-118 has 50 protons. How many neutrons does it have? Use the formula: neutrons = mass number - protons.

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Problem 7451

What kind of discount is a store offering with a 25% off on a minimum purchase of \$500?

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Problem 7452

Find the number of significant figures in 0.0080.

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Problem 7453

How many significant figures are in the number 45000?

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Problem 7454

Rewrite 300 using 2 significant figures.

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Problem 7455

Find the unit rate of popcorn produced per minute by a machine that makes 14 cups in 2.5 minutes.

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Problem 7456

Calculate 104×10710^{4} \times 10^{7}.

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Problem 7457

Calculate the sum of 3.42, 4, 5.2, and 12, and report your answer with the correct significant figures.

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Problem 7458

Calculate 106102\frac{10^{6}}{10^{2}}.

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Problem 7459

Calculate and report the answer with significant figures: 12306×245112306 \times 2451

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Problem 7460

Express 7, 10, 17, and 24 rods as fractions of 32: 732\frac{7}{32}, 1032\frac{10}{32}, 1732\frac{17}{32}, 2432\frac{24}{32}.

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Problem 7461

Multiply the numerator and denominator of xx21x+12xx2\frac{\frac{x}{x-2}-\frac{1}{x+1}}{\frac{2 x}{x-2}} by which expression to simplify?

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Problem 7462

Calculate 3.0×53.0 \times 5 and report the answer using significant figures.

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Problem 7463

Calculate (3×105)×(2×102)(3 \times 10^{5}) \times (2 \times 10^{2}) and express the answer in the form V×10nV \times 10^{n}.

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Problem 7464

Find the absolute value of 18: 18|18|.

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Problem 7465

Identify expressions that can be factored as (ax+b)(axb)(a x+b)(a x-b) with integers aa and bb. Options: A x29x^{2}-9, B x211x^{2}-11, C 4x214 x^{2}-1, D 4x224 x^{2}-2, E 9x249 x^{2}-4.

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Problem 7466

Is 10\sqrt{10} a rational number? Choose true or false with reasons: A. True, it's an integer. B. False, it doesn't end/repeat. C. True, it has repeating digits. D. True, it's a terminating decimal.

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Problem 7467

Is the statement true or false? -8 is a rational number. Choose: True or False.

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Problem 7468

Is the statement true or false? 2262 \frac{2}{6} is an irrational number. Choose: True or False.

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Problem 7469

Eliud Kipchoge ran 26.2 miles in 1 hour 5 minutes 40 seconds. Find his average time per mile in minutes.

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Problem 7470

How many valence electrons does cesium (Cs) have based on its electron configuration: 1s22s22p63s23p64s23d104p65s24d105p66s11 s^{2} 2 s^{2} 2 p^{6} 3 s^{2} 3 p^{6} 4 s^{2} 3 d^{10} 4 p^{6} 5 s^{2} 4 d^{10} 5 p^{6} 6 s^{1}?

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Problem 7471

Calcular el área total usando la fórmula: =(4(55/2))+(425)+(418)=(4 *(5 * 5 / 2))+(4 * 25)+(4 * 18) y encuentra el resultado.

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Problem 7472

Identify the property: "The product of numbers remains the same regardless of the order of the factors."

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Problem 7473

Identify the property: "For any numbers aa and bb, a×b=b×aa \times b = b \times a."

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Problem 7474

Calculate the moles of platinum in 8.4×10228.4 \times 10^{22} atoms of Pt\mathrm{Pt}. [?] moles Pt

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Problem 7475

Identify the correct expressions for "the product of a number and TT". Options: n7n \cdot 7, n7\frac{n}{7}, 7n\frac{7}{n}, 7n7 n.

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Problem 7476

Count the significant figures in 0.070020.

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Problem 7477

Count the significant figures in the number 6.17000×1056.17000 \times 10^{5}.

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Problem 7478

What is the expression for the area of a rectangular window with length 12ft12 \mathrm{ft} and width xftx \mathrm{ft}?

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Problem 7479

Count the significant figures in the number 2.005×1092.005 \times 10^{-9}.

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Problem 7480

The number of significant figures in 50.000950.0009 is how many?

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Problem 7481

Dale has three more than twice Leo's money. Which expression represents this? Options: 2d+32d + 3, d+2+3d + 2 + 3, 2(3)+d2(3) + d, d2+3\frac{d}{2} + 3.

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Problem 7482

Which expression equals "twice the sum of a number and three"? 2(n+3)2(n+3) 2n+32 n+3 2(2n3)2(2 n-3) 2+(2n+3)2+(2 n+3)

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Problem 7483

The number of significant figures in 9020.09020.0 is ?

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Problem 7484

Count the significant figures in the number 0.0002020.000202.

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Problem 7485

Calculate 9.725×103+3.58×102+6.19.725 \times 10^{3}+3.58 \times 10^{2}+6.1 and round to the correct significant figures.

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Problem 7486

Find the answer to 6.5250.551.876.525 - 0.55 - 1.87 with the correct significant figures.

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Problem 7487

Calculate the sum: 0.5+3.25+2.80.5 + 3.25 + 2.8 and report it with the correct significant figures.

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Problem 7488

Calculate 95.32543.3516.1295.325 - 43.35 - 16.12 and round to the correct significant figures.

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Problem 7489

Find the sum of 19.2519.25, 31.53531.535, and 16.712516.7125 with the correct significant figures.

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Problem 7490

Write the repeating decimal 3.013.0 \overline{1} as a mixed number.

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Problem 7491

Calculate 275.75113.5+36.125275.75 - 113.5 + 36.125 and round to the correct significant figures based on the + or - rule.

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Problem 7492

Calculate 9.2875+23.6514.3579.2875 + 23.65 - 14.357 and round to the correct significant figures based on addition and subtraction rules.

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Problem 7493

Calculate the sum: 39.25+13.5+66.1250.339.25 + 13.5 + 66.125 - 0.3 and round to the correct significant figures.

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Problem 7494

Find the remaining area of a 33ft33 \mathrm{ft} by 15ft15 \mathrm{ft} flag after cutting out a triangle with base 13ft13 \mathrm{ft} and height 6ft6 \mathrm{ft}.

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Problem 7495

Calculate the expression: 3164363 \sqrt{16}-4 \sqrt{36}.

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Problem 7496

Simplify the expression by combining like terms: 3x8x284x2-3x - 8x^{2} - 8 - 4x^{2}.

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Problem 7497

Combine like terms in the expression: 8xx3+6x\frac{-8 x-x}{3}+6 x.

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Problem 7498

Calculate the following:
1. \$ 620 divided by 40
2. 12 times \$ 1,578
3. 4 at \$12.75

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Problem 7499

Simplify 18-18.

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Problem 7500

Calculate 336+5493 \sqrt{36} + 5 \sqrt{49}.

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