Expression

Problem 14201

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 14202

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

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Problem 14203

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 14204

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

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Problem 14205

Given f(x)=2x5f(x)=2x-5 and g(x)=4x2g(x)=4x^{2}, find: a. f+gf+g, b. fgf-g, c. fgfg, d. fg\frac{f}{g}.

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Problem 14206

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

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Problem 14207

Calculate 51,59922,78251,599 - 22,782 and check if it is approximately 33,00033,000.

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Problem 14208

Find expressions equivalent to (5g+3h+4)2(5 g+3 h+4) \cdot 2. Choose all that apply: A (5g+3h)8(5 g+3 h) \cdot 8, B (5g+3h)6(5 g+3 h) \cdot 6, C None.

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Problem 14209

Which expressions equal x+2y+x+2x + 2y + x + 2? Select all that apply: A 2(x+y+1)2(x+y+1) B 2x+4y+42x + 4y + 4 C None.

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Problem 14210

Find expressions equivalent to 2(4f+2g)2(4 f+2 g). Choose 3: A 8f+2g8 f+2 g, B 2f(4+2g)2 f(4+2 g), C 8f+4g8 f+4 g, D 4(2f+g)4(2 f+g), E 4f+4f+4g4 f+4 f+4 g.

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Problem 14211

Identify expressions equivalent to 4b4 b: A) b+2(b+2b)b + 2(b + 2b) B) 3b+b3b + b C) 2(2b)2(2b)

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Problem 14212

Plot the number 74-\frac{7}{4} on a number line.

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Problem 14213

Find the following for f(x)=x4f(x)=x-4 and g(x)=xg(x)=\sqrt{x}: a. f+gf+g, b. fgf-g, c. fgfg, d. fg\frac{f}{g}.

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Problem 14214

Round the sum of 5.63+2.15+16.395.63 + 2.15 + 16.39 to the nearest integer.

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Problem 14215

Exponents, Polynomials, and Radicals Converting between scientific notation and standard form in a real-world... Madely
Answer the following. (a) An astronomer's infrared telescope is able to detect radiation with a wavelength of 1.96×1051.96 \times 10^{-5} meters. Write this number in standard notation. (b) The diameter of Pluto at its equator is approximately 2390 kilometers. Write this number in scientific notation. (a) \square meters \square ×10\times 10^{\circ} (b) \square kilometers

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Problem 14216

Answer the following. (a) The signal from a certain satellite takes approximately 0.054 seconds to reach Earth. Write this number in scientific notati (b) The total surface area of Africa is approximately 1.17×1071.17 \times 10^{7} square miles. Write this number in standard notation. (a) \square seconds (b) \square square miles

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Problem 14217

Answer the following. (a) A certain solution has a hydrogen Ion concentration of 9.14×1059.14 \times 10^{-5} moles per liter. Write this number in standard not (b) An African bush elephant can weigh up to 28,000 pounds. Write this number in scientific notation. (a) [I moles per liter ×\square \times{ }^{\square} (b) \square pounds

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Problem 14218

Factor the expression completely. x2y5+x4x^{2} y^{5}+x^{4}
Answer Attempt iout of 2

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Problem 14219

Question
Factor the expression completely. 5xx25 x-x^{2}
Answer Atsmpt sout of 2

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Problem 14220

An that both A and B will occur is 0.1 .
8. The conditional probability of A , given B (a) is 1/21 / 2.
8. The conditional probability of A , given B (a) is 1/21 / 2. 2050z1950=19/175\frac{20}{50} \cdot \frac{z^{19}}{50}=19 / 175 2050\frac{20}{50} 50 =0=0 ur is ility 0.5 . An event BB will occur with probability 0.6 . The probability P(A)=.5P(B)=.6P(A)=.5 \quad P(B)=.6 (b) is 3/103 / 10. (c) is 1/51 / 5. P(PnA)=P\left(P_{n} A\right)= (d) is 1/61 / 6. (1) cannot be determined from the information given. P(A,B)=P(A, B)=

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Problem 14221

4. 8(4b9)8(-4 b-9)

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Problem 14222

Which of these absolute values is the greatest? A. 140|140| B. 104|-104| C. 104|104| D. |-204| Reset Next

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Problem 14223

```latex Analia is a school district manager. Here are some details about two schools in her district for the last school year:
\begin{tabular}{lcc} & School A & School B \\ \hline Number of students & 3000 & 4000 \\ \hline Number of teachers & 190 & 380 \\ \hline Graduation rate & 86%86 \% & 90%90 \% \\ Budget per student & \10,500 & \$10,000 \\ \hline \% of students in sports club & 62 \% & 68 \%$ \\ \hline Number of sports medals won & 9 & 7 \\ \hline SAT average & 1200 & 1050 \\ \hline SAT range (max-min) & 900 & 700 \\ \hline \end{tabular}
Analia wants to know which school has higher athletic achievements relative to the SAT average.
1) Analia thought of two different ways to define this quantity. Identify these two definitions among the following options:
A) Graduation rate
B) Graduation rate divided by SAT average
C) Number of sports medals won
D) Number of sports medals won divided by SAT average
2) Determine which school has higher athletic achievements relative to the SAT average, according to the two definitions. Did you get the same result for both definitions?
Choose 1 answer: (A) Yes. According to both definitions, School A has higher athletic achievements relative to the SAT average. (B) Yes. According to both definitions, School B has higher athletic achievements relative to the SAT average. (C) No. The definitions have opposite results. ```

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Problem 14224

72×45\begin{array}{r}72 \\ \times \quad 45 \\ \hline\end{array}

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Problem 14225

32. Multiply. Write the answer in standard form. 15i(1+2i)15 i(-1+2 i)

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Problem 14226

Question 1 of 10 Use the grouping method to factor x3+x2+5x+5x^{3}+x^{2}+5 x+5 A. (x+1)(x+5)(x+1)(x+5) B. (x2+1)(x+5)\left(x^{2}+1\right)(x+5) C. x(x+5)(x+1)x(x+5)(x+1) D. (x+1)(x2+5)(x+1)\left(x^{2}+5\right)

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Problem 14227

12 g12amu=1 g1amu=1 g1.661024 g=60221023\frac{12 \mathrm{~g}}{12 \mathrm{amu}}=\frac{1 \mathrm{~g}}{1 \mathrm{amu}}=\frac{1 \mathrm{~g}}{1.66 \cdot 10^{-24} \mathrm{~g}}=6022 \cdot 10^{23}

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Problem 14228

For berylium chloride, 0.076 moles of silver nitrate are used. For magnesium chloride, 0.064 moles of silver nitrate are used. For calcium chloride, 0.055 moles of silver nitrate are used. How many moles of AgNO3\mathrm{AgNO}_{3} should we use to be sure that we have excess, no matter which of the three compounds it is? a) 0.025 mol b) 0.050 mol c) 0.075 mol d) 0.100 mol

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Problem 14229

The table shows the price of a tablet in 2021 and in 2022. \begin{tabular}{|c|c|} \hline Year & Price (\$) \\ \hline 2021 & 155 \\ \hline 2022 & 128.65 \\ \hline \end{tabular}
You determined that the percent decrease from 2021 to 2022 was 17%17 \%.
If the percent decrease continues for another year. what will the price of the table be in 2023? submit

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Problem 14230

Which of the following expressions can be rewritten using the Power Rule? Expression 1: logxlogy\log x \cdot \log y Expression 2: logxlogy\frac{\log x}{\log y} Expression 3: logxy\log x^{y} (1 point)
Expression \square

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Problem 14231

In Exercises 12-14, factor the polynomial completely. xx  12. 36p425(6pz5)(6p2+5)(6p2+5)()\begin{array}{l} \text { 12. } 36 p^{4}-25 \\ \left(6 p^{z-5}\right)\left(6 p^{2}+5\right) \\ \left(6 p^{2}+5\right)(\quad) \end{array}
13. n4+11n2+28n^{4}+11 n^{2}+28  *14. 4y2164(y24)(y2+4)(y2+4)(y2)(y+2)\begin{array}{l} \text { *14. } \begin{array}{l} \\ 4 \\ y^{2}-16 \\ 4 \\ \left(y^{2}-4\right)\left(y^{2}+4\right) \\ \left(y^{2}+4\right)(y-2)(y+2) \end{array} \end{array}

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Problem 14232

1. (5)Calcolare il valore delle seguenti espressioni: a) log2(823)+log24238=\log _{2}(8 \cdot \sqrt[3]{2})+\log _{2} \frac{4 \cdot \sqrt[3]{2}}{\sqrt{8}}= b) 5log53+log(log44)+log39=5^{\log _{5} 3}+\log \left(\log _{4} 4\right)+\log _{3} 9=

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Problem 14233

13. Jeacher cuts our every 3 sheets of paper into 10 equal pieces and he divided all proves equally between 2 students a) How many pieces of pager does oacn stuclent ge c.

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Problem 14234

В большой развивающейся стране численность занятых составляет 100 млн. чел., а уровень безработицы составляет 20\%. Какова численность безработных в этой стране?
Выберите один ответ: a. 20M/H20 \mathrm{M} / \mathrm{H} b. 25 m/H25 \mathrm{~m} / \mathrm{H} C. 80 m/H80 \mathrm{~m} / \mathrm{H} d. 16 m/H16 \mathrm{~m} / \mathrm{H}

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Problem 14235

На рынке подсластителей торгуются сироп топинамбура и стевия. Какое значение может принимать перекрёстная эластичность спроса на сироп топинамбура по цене стевии, е? Выберите ВСЕ верные ответы. (Частично правильный вариант не засчитывается!) a. e<0\mathrm{e}<0 b. e>1e>1 c. e=0\mathrm{e}=0 d. 0<e<10<e<1

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Problem 14236

Если уровень цен за год вырос в 2,5 раза, то сколько составила инфляции за этот период?
Выберите один ответ: a. 100%100 \% b. 250%250 \% c. 150%150 \% d. 50%50 \%

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Problem 14237

Simplify to a single power of 6: (62)3\left(6^{2}\right)^{3}

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Problem 14238

(1 point)
Evaluate the limit limxx2+5x+6x\lim _{x \rightarrow \infty} \sqrt{x^{2}+5 x+6}-x

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Problem 14239

Find the limit: limx0(4x4sin(x))=\lim _{x \rightarrow 0}\left(\frac{4}{x}-\frac{4}{\sin (x)}\right)= \square (Enter undefined if the limit does not exist.)
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Problem 14240

Find the limit. Use l'Hospital's Rule where appropriate. limxx2ex\lim _{x \rightarrow-\infty} x^{2} e^{x}
Limit: \square
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You have attempted this problem 0 times.

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Problem 14241

Evaluate the limit using L'Hospital's rule limx03x4xx\lim _{x \rightarrow 0} \frac{3^{x}-4^{x}}{x}

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Problem 14242

82 8-2 1 83 00 A 1 8-4 00 80 1 1 1 = √√√8 # 4096 64 = √√8 64 512

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Problem 14243

streak 0/40 / 4 skills
Marie made a model (shown below) of the square pyramid she plans to build when she grows up.
Find the surface area of the model. \square m2\mathrm{m}^{2}

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Problem 14244

Q. 1 Arham earns Rs. 1500000 in a year. If all of this income is taxable, how much income tax does he pay? Asume the income tax rate is 7%7 \% Q2 Mrs. Anwer has a life insurance policy of Rs.100000. She pays premiums to the insurance company at the rate of 3%3 \% every year. What is the size of the premium paid by her every year? Q. 3 Determine the length of the base in the DABCD A B C, if ACB\angle A C B is right angle, mAB=13 cmm \overline{A B}=13 \mathrm{~cm} and m. CC=5 cm\cdot \mathrm{CC}=5 \mathrm{~cm}. Also draw the triangle.

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Problem 14245

11) ARCA R C LenGTt ABundefined=\widehat{A B}= 12) AREA OF SECTOR AOB =

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Problem 14246

What is the simplest form of the radical expression 50x6y5\sqrt{50 x^{6} y^{5}} ? Assume xx and yy are positive. 5x2y10x2y25 x^{2} y \sqrt{10 x^{2} y^{2}} 5x3y22y5 x^{3} y^{2} \sqrt{2 y} 25x3y22x3y325 x^{3} y^{2} \sqrt{2 x^{3} y^{3}}

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Problem 14247

Evaluate the expression using order of operations: 4[6+55÷(5)]24 \cdot[-6+5-5 \div(-5)]^{2}.

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Problem 14248

Find the number of kiloseconds in 22hr22 \mathrm{hr} and 38min38 \mathrm{min}.

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Problem 14249

Calculate the value of the expression: 512+3623÷412+23-\frac{5}{12} + \frac{3}{6} \cdot \frac{2}{3} \div \frac{4}{12} + \frac{2}{3}.

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Problem 14250

Calculate the value of (3)(1)21÷(3)(-3) \cdot(-1)-21 \div(-3) using order of operations.

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Problem 14251

Find the limit: limx1xlnx\lim _{x \rightarrow 1} \frac{x}{\ln x}.

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Problem 14252

Simplify the expression using order of operations: 4.8÷1.22.424.8 \div 1.2 - 2.4^{2}.

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Problem 14253

Evaluate: 15+24÷21 \cdot 5 + 24 \div 2

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Problem 14254

Find the additive and multiplicative inverses of 8. a) Additive inverse: 8-8, b) Multiplicative inverse: 18\frac{1}{8}.

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Problem 14255

Calculate the expression (5+1)(1)(-5+1) \cdot(-1) using order of operations.

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Problem 14256

Find the additive and multiplicative inverses of ss where s0s \neq 0. What are these inverses?

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Problem 14257

Calculate the value of 7[1(3(3)+(6))]÷47 - [-1 - (-3 \cdot (-3) + (-6))] \div 4.

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Problem 14258

Evaluate: 24+(8+1)22 \cdot 4 + (8 + 1)^{2}.

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Problem 14259

Find the additive and multiplicative inverses of 8. a) Additive inverse: 8-8; b) Choose: A. 1/81/8 or B. No inverse.

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Problem 14260

Calculate the expression using order of operations: 9+[8+(22+3)]÷59+[8+(2 \cdot 2+3)] \div 5.

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Problem 14261

Find the additive and multiplicative inverses of 8.
a) Additive inverse:
b) Multiplicative inverse: 18\frac{1}{8}

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Problem 14262

Simplify the expression using order of operations: 1[6(175)]÷(2)-1-[6-(-1 \cdot 7-5)] \div(-2).

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Problem 14263

Is 4328 divisible by 9?

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Problem 14264

Simplify the expression: (6p3p+6p4)+(8p5p4+2p3)(6 p^{3}-p+6 p^{4})+(8 p-5 p^{4}+2 p^{3}).

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Problem 14265

Check if 4328 is divisible by 2, 3, 4, 5, 6, 8, 10, and 1. What about 4328 divisible by ??

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Problem 14266

Evaluate the expression: 102-10^{2}.

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Problem 14267

Find the prime factorization of 676, using exponents for repeated factors.

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Problem 14268

Find the least common multiple (LCM) of 84 and 56.

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Problem 14269

Find the limit: limxe(xlnxx)\lim _{x \rightarrow e}(x \ln x - x).

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Problem 14270

Simplify the expression 441\frac{4}{4^{-1}} using exponent properties and show only positive exponents.

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Problem 14271

Simplify the expression: (6x36x4+5x)(4x+2x3+7x2)(6 x^{3}-6 x^{4}+5 x)-(4 x+2 x^{3}+7 x^{2}).

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Problem 14272

Find the additive inverse and multiplicative inverse of the expression 25-\frac{2}{5}.

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Problem 14273

Simplify 35373^{5} \cdot 3^{-7} using exponent properties, showing only positive exponents.

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Problem 14274

Simplify the expression: (r3+3r21)+(8r3+7+2r2)(r^{3}+3 r^{2}-1)+(8 r^{3}+7+2 r^{2}).

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Problem 14275

Find the limit: limx0ln(ex+1)\lim _{x \rightarrow 0} \ln \left(e^{x+1}\right).

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Problem 14276

Simplify the expression: (6x4+2x37)(2x4+8x3)(6 x^{4}+2 x^{3}-7)-(2-x^{4}+8 x^{3}).

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Problem 14277

Simplify x3x^{-3} using exponent rules, expanding numerical parts and using only positive exponents.

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Problem 14278

Simplify the expression: (2a4+a3+4)(58a3+a4)(2 a^{4}+a^{3}+4)-(5-8 a^{3}+a^{4}).

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Problem 14279

Calculate the expression using order of operations: 4218÷32×4244^{2}-18 \div 3^{2} \times 4-24.

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Problem 14280

Simplify x1x8\frac{x^{-1}}{x^{8}} using exponent properties and show only positive exponents.

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Problem 14281

Simplify 40424^{0} \cdot 4^{2} using exponent rules and show only positive exponents.

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Problem 14282

Identify the property shown: q(pr)=(qp)rq \cdot(p-r)=(q \cdot p) \cdot r. Choose: A. addition, B. multiplication commutative, C. multiplication associative, D. distributive.

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Problem 14283

Simplify the expression 6x5y22x3y5\frac{-6 x^{5} y^{-2}}{2 x^{3} y^{5}} using exponent properties, ensuring positive exponents.

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Problem 14284

Find the additive and multiplicative inverses of 78-\frac{7}{8}. a) Additive inverse: \square. b) Multiplicative inverse: A. \square or B. No inverse.

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Problem 14285

Convert the engine volume of 4320 cm34320 \mathrm{~cm}^{3} to cubic inches.

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Problem 14286

Approximate the total candy bars purchased in one year if 1.2 thousand are bought per minute. Use 5.3×1055.3 \times 10^5 minutes/year.

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Problem 14287

Simplify 101^{0} using exponent properties and show only positive exponents.

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Problem 14288

Convert the distance between two oxygen atom centers, 1.21×108cm1.21 \times 10^{-8} \mathrm{cm}, to nm\mathrm{nm}.

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Problem 14289

Simplify the expression x04y0x^{0} - 4y^{0} using exponent properties, showing only positive exponents.

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Problem 14290

Evaluate the expression 9x2+9y2+1-9 x^{2}+9 y^{2}+1 for x=7x=-7 and y=3y=3, then simplify.

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Problem 14291

Simplify the expression by combining like terms: 4xx4x - x.

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Problem 14292

Simplify the expression: (b3b23b4)+(2b3b47b2)(b^{3}-b^{2}-3 b^{4})+(2 b^{3}-b^{4}-7 b^{2}).

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Problem 14293

Convert the number 8.31×1058.31 \times 10^{5} into decimal notation.

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Problem 14294

Simplify the expression: 2(3x+1)3(4y+4)-2(3x + 1) - 3(4y + 4).

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Problem 14295

Convert 0.475 into a fraction.

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Problem 14296

Evaluate (x+y)25z(x+y)^{2}-5z at x=0,y=3,z=4x=0, y=3, z=-4 and simplify your answer.

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Problem 14297

Simplify the expression: (x+7x22x3)(7x+46x3)\left(x+7 x^{2}-2 x^{3}\right)-\left(7 x+4-6 x^{3}\right).

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Problem 14298

Find the decimal form of 19d\frac{1}{9} d.

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Problem 14299

Simplify the expression: (4x+6x26x3)(2x+5x38x4)(4x + 6x^2 - 6x^3) - (2x + 5x^3 - 8x^4).

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Problem 14300

Find the decimal form of 19\frac{1}{9}.

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