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Problem 11201

Write the number 4,408,730 in expanded form.

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Problem 11202

Place the numbers 39,477, 39,892, 39,189, and 39,511 on a number line and round each to the nearest 1,000.

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Problem 11203

Based on the equation C=59(F32)C=\frac{5}{9}(F-32), which statements about temperature changes are true? A) I only B) II only C) III only D) I and II only

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Problem 11204

Identify the false statement about the unit circle: A. x2+y2=1x^{2}+y^{2}=1; B. radius 1 at origin; C. infinite integer points; D. (a,b)(a, b) if a2+b2=1a^{2}+b^{2}=1.

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Problem 11205

Identify which equation does not define a trigonometric function for a point P(x,y)P(x, y) on the unit circle: A. cott=yx,x0\cot t=\frac{y}{x}, x \neq 0 B. csct=1y,y0\csc t=\frac{1}{y}, y \neq 0 C. cost=x\cos t=x D. sect=1x,x0\sec t=\frac{1}{x}, x \neq 0

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Problem 11206

Calculate ingredient amounts for 50 meatballs and compare beef prices at two shops. Verify age-based R3600 distribution for three kids. Analyze number patterns A and B.

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Problem 11207

Belinda has 400 R5 coins and wants at least 120 left after taking out 56 each week. What inequality models this?
Options: a. 40056k120400-56k \leq 120 b. 40056k>120400-56k > 120 c. 40056k<120400-56k < 120 d. 40056k120400-56k \geq 120

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Problem 11208

Vuyisanani invested R16 700 at simple interest. At age 21, it grew to R47 929. If interest was 2\% less, what would he earn in 17 years? a. R26 176,57 b. R31 229,00 c. R25 551,00 d. R5 678,00

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Problem 11209

Choose the incorrect statement given i>0,j>0,k>0i>0, j>0, k>0: a. If i>ji>j then i+k>j+ki+k>j+k b. If i<ji<j then j>ij>i c. If i>ji>j then i×k>j×ki \times k>j \times k d. If j<ij<i and i<ki<k then k<jk<j

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Problem 11210

Find the limit: limx32xx3\lim _{x \rightarrow 3^{-}} \frac{2-x}{x-3}. What is the result? A) -\infty B) ++\infty C) 0 D) 1

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Problem 11211

Identify the invalid equation from the options below: A. sinπ3=cosπ6\sin \frac{\pi}{3}=\cos \frac{\pi}{6} B. sinπ4=cosπ4\sin \frac{\pi}{4}=\cos \frac{\pi}{4} C. cscπ6=cosπ3\csc \frac{\pi}{6}=\cos \frac{\pi}{3} D. tanπ4=cotπ4\tan \frac{\pi}{4}=\cot \frac{\pi}{4}

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Problem 11212

Choose the false statement about binomials: A binomial has two terms. Is q5+8q2q^{5}+8 q-2 a binomial? Is q5+8qq^{5}+8 q a binomial?

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Problem 11213

Choose the false statement about monomials:
1. A monomial is a number, variable, or product of a number and variables with whole number exponents.
2. 3x4y-3 x^{4} y is a monomial.
3. 3x4y+2xy-3 x^{4} y + 2 x y is a monomial.

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Problem 11214

Choose the false statement about degrees of polynomials:
1. For 4x3+2x24 x^{3}+2 x^{2}, the degree is 3.
2. For 2x25x42 x^{2}-5 x^{4}, the degree is 4.
3. For 5x2+10x-5 x^{2}+10 x, the degree is 3.

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Problem 11215

Choose the false statement about coefficients: 1) It's the number in front of a monomial. 2) It's always a number. 3) It's the number at the end of a polynomial in standard form.

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Problem 11216

Choose the false statement about polynomials:
1. Number of terms = monomials.
2. Trinomial has three terms.
3. Number of terms = highest exponent.

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Problem 11217

Choose the false statement about polynomials:
1. A polynomial can include whole number exponents.
2. A polynomial can include only addition or subtraction.
3. A polynomial cannot include an equal sign.

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Problem 11218

Determine which statement about the function f(x)={x3x<063x0x<3(x3)2x3f(x)=\left\{\begin{array}{cr}|x-3| & x<0 \\ 6-3 x & 0 \leq x<3 \\ -(x-3)^{2} & x \geq 3\end{array}\right. is false: A) limx2f(x)=0\lim _{x \rightarrow 2} f(x)=0 B) limx3f(x)=3\lim _{x \rightarrow 3^{-}} f(x)=-3 C) limx0f(x)=6\lim _{x \rightarrow 0^{-}} f(x)=6 D) limx3+f(x)=0\lim _{x \rightarrow 3^{+}} f(x)=0

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Problem 11219

A Grade 2 teacher plans a picnic for 30 people. Find seating rules and table counts for two patterns: 8;10;12;8; 10; 12; \ldots and 8;12;16;8; 12; 16; \ldots.

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Problem 11220

Which statement about a π4,π4,π2\frac{\pi}{4}, \frac{\pi}{4}, \frac{\pi}{2} triangle with hypotenuse 2\sqrt{2} is true?

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Problem 11221

Simplify the expression: 3(9x8)+15x3(9x - 8) + 15x.

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Problem 11222

Find calories needed per day for females aged 4-8 using F=81x2+655x+616F=-81 x^{2}+655 x+616. Does it over/underestimate the graph? By how much?

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Problem 11223

Calculate daily calories for females aged 4-8 using F=81x2+655x+616F=-81 x^{2}+655 x+616. Does it overestimate or underestimate the graph? By how much?

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Problem 11224

Is the statement 2+7x=9x2 + 7x = 9x true or false? If false, correct it to make it true.

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Problem 11225

A number cube (1-6) is rolled. Find outcomes for these events: (a) AA or BB, (b) AA and BB, (c) complement of AA.

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Problem 11226

Identify the numerical data example: A. Type of house B. Color of kitchen C. Name of street D. Distance from home.

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Problem 11227

A clock manufacturer has fixed costs of \7000.Averagecostperclockis7000. Average cost per clock is \frac{0.4x + 7000}{x}.Findaveragecostsfor. Find average costs for x=100, 1000, 10,000$. Can they profit if selling at \$1.50 each while producing 2000 clocks?

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Problem 11228

In a checker game, move colors to switch sides. 1. With 1 checker each, how many moves for blue right, red left? 3 moves3 \text{ moves} 2. With 3 checkers each, find moves needed. 3. Estimate for 2 or 4 checkers, then test. 4. Explain how 3 checkers help with 4. 5. Estimate moves for 7 checkers each.

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Problem 11229

Which frequency count has the least dots on a dot plot: A. 5, B. 7, C. 6, D. 4?

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Problem 11230

Select a tile from A to G. Find outcomes for: (b) Event "X or Y": (c) Complement of event X.

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Problem 11231

Identify an example of discrete data: A. Temperature B. Amusement park rides C. Room area D. Distance

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Problem 11232

Calculate calories needed for females aged 4-8 using F=81x2+655x+616F=-81 x^{2}+655 x+616. Is this estimate vs. F=1113F=1113 over/under? By how much?

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Problem 11233

How many leaves would a stem of 3 have in the stem-and-leaf plot for the data: 53, 64, 16, 93, 72, 30, 23, 48, 31, 83? A. 2 B. 3 C. 5 D. 4

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Problem 11234

Halla "m.n" si el sistema es corrónatible indeterminado: 5x+3y=15x + 3y = 1 y mxny=4mx - ny = 4.

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Problem 11235

Select a letter from A to G. Find outcomes for these events: (a) Event "X and Y": (b) Event "X or Y": (c) The complement of event X.

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Problem 11236

What is the population mean μ\mu based on a sample of 32 runners from 201 total runners? A. 201 B. 32 C. Neither D. Both

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Problem 11237

Find the median of these values: 10, 11, 12, 15, 19, 24, 27, 29, 33, 38. A. 24 B. 19 C. 21.5 D. 21.8

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Problem 11238

An ice cream shop aims to sell a mean of 45 cones daily. Given sales: 54, 45, 33, 39, 48, 40, 41. How many more to meet the goal? A. 35 B. 15 C. 25 D. 5

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Problem 11239

What is the sample mean, xˉ\bar{x}, based on a sample of 23 bowlers from a population of 187? A. 23 B. Neither C. Both D. 187

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Problem 11240

Find the mode of these values: 87,19,11,52,1187, 19, 11, 52, 11. Options: A. 21 B. 26 C. 11 D. 36

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Problem 11241

Find the median of a data set with 12 values. Choose: A. Mean of 5th & 6th, B. 6th, C. Mean of 6th & 7th, D. 7th.

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Problem 11242

Find the median of these numbers: 98, 102, 53, 80, 22. A. 90 B. 80 C. 71 D. 61

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Problem 11243

A. A popcorn maker produces 14 cups in 2.5 minutes.
1. Find the unit rate (cups per minute).
2. Fill in the table for minutes 0-4 and popcorn cups.
3. Graph the relationship using the table data.
4. Is there a proportional relationship between popcorn and time? Justify your answer.

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Problem 11244

What is the sample space when choosing randomly from 5 balls: R, G, Y, B, O? Options: A. {R,G,Y,B,P}\{R, G, Y, B, P\} B. {R,G,Y,B,O}\{R, G, Y, B, O\} C. {G,O}\{\mathrm{G}, \mathrm{O}\} D. {R,G,Y,B}\{R, G, Y, B\}

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Problem 11245

Identify the value that cannot represent a probability: A. 0.82, B. 10100\frac{10}{100}, C. 1.001, D. 116\frac{1}{16}.

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Problem 11246

Valentino sold 502 thin, 215 thick, 164 stuffed, and 194 pan crusts. Expect thick crusts in next 4000 pizzas. Calculate.

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Problem 11247

Determine if the following tables represent functions:
1. xx: 9.2, 9.4, 9.6, 9.8, 10; yy: 6, 8, 10, 12, 14
2. xx: 3.3, 3.5, 3.7, 3.5, 3.9; yy: 1.2, 1.4, 1.6, 1.8, 2

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Problem 11248

Complete the table for x+2y=3x + 2y = 3 and graph the resulting equation.

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Problem 11249

Plot the graph of the function y=2tan(2x+π4)2y=2 \tan\left(2 x+\frac{\pi}{4}\right)-2.

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Problem 11250

Визначте, скільки разів цифра 1 зустрічається в натуральних числах від 1 до 40.

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Problem 11251

Identify and fix the mistake in solving the equation: m3=4-\frac{m}{3}=-4 leading to m=12m=-12.

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Problem 11252

Three coins are flipped. Find the total outcomes, outcomes with the second coin as heads, and P(A)=P(A)=\square.

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Problem 11253

Is the equation 3x7=03 x-7=0 equivalent to 3x=73 x=-7 true or false? If false, correct it.

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Problem 11254

Draw a card: win \12forafacecard,$6foranace,lose$18forothers.Findtheexpectedgain:12 for a face card, \$6 for an ace, lose \$18 for others. Find the expected gain: 9.23-9.23$.

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Problem 11255

You practiced 300 minutes in 6 days. What inequality for mm shows the minutes needed on day 7 to average 45 min/day?

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Problem 11256

Identify the student's first mistake in solving the equation d+600=400|d+600|=400. Steps are: d+600=400d+600=400 or d+600=400d+600=-400.

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Problem 11257

A company estimates a 0.3%0.3\% product failure rate after warranty, costing \400.Ifa2yearwarrantycosts$57,findtheprofitvalues400. If a 2-year warranty costs \$57, find the profit values x,theirprobabilities, their probabilities P(x)$, and the expected value per warranty sold, rounded to the nearest cent.

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Problem 11258

5 decreased by the sum of 8 and nn. Is 3a+4b2=7\frac{3 a + 4 b}{2} = -7 true for a=6a=6 and b=1b=-1? Show your work.

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Problem 11259

Determine if a score of 77 is within 4 strokes of par 72. Use p724|p - 72| \leq 4 to analyze the score.

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Problem 11260

Identify the changes from f(x)=x+3f(x)=|x+3| to g(x)=x4+2g(x)=|x-4|+2.

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Problem 11261

At what pH - pKa value is the amino group of alanine 99%99\% ionized?

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Problem 11262

At which point in the titration curve is alanine a positive ion and when is it a zwitterion? What pH equals the pKa of alanine's amino group?

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Problem 11263

A company estimates 0.5%0.5\% product failure post-warranty, costing \150.Ifa2yearwarrantyis$19,findprofit150. If a 2-year warranty is \$19, find profit x$ values and expected value.

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Problem 11264

Which expression does not equal 3SR3 \cdot S \cdot R? Options: 3RS, 3SR, 3+S+R3+S+R.

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Problem 11265

Plot the solution set for x10x \leq 10 on the number line below.

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Problem 11266

Draw a card from a deck: win \$13 for a face card, \$10 for an ace, lose \$12 for others. Find the expected gain.

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Problem 11267

Dataset has 154 rows (students) and 142 columns (variables). Number of rows = 154.

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Problem 11268

Identify the true characteristics of the function f(x)=x+23f(x)=-|x+2|-3. Options include domain, range, and behavior as xx approaches infinity.

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Problem 11269

Which set of pairs does NOT represent a function? (A) (0,1),(2,2),(4,8),(2,7),(5,8),(7,9)(0,1),(2,2),(4,8),(2,7),(5,8),(7,9) (B) (4,2),(3,2),(2,2),(1,2),(0,2),(1,2)(-4,2),(-3,2),(-2,2),(-1,2),(0,2),(1,2) (C) (3,6),(2,7),(0,5),(1,5),(4,9),(5,4)(-3,6),(2,7),(0,5),(1,5),(4,9),(5,4) (D) (0,1),(2,2),(4,8),(2,7),(5,8)(0,1),(2,2),(4,8),(-2,7),(5,8)

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Problem 11270

Draw a card from a deck: win \11forafacecard,$9foranace,lose$6otherwise.Findtheexpectedgain:11 for a face card, \$9 for an ace, lose \$6 otherwise. Find the expected gain: -3.87$.

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Problem 11271

Sasha sells T-shirts and earns a set amount plus commission. What is the reasonable domain? (A) all whole numbers (B) 1x51 \leq x \leq 5 (C) all real numbers (D) 68x8068 \leq x \leq 80

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Problem 11272

If mABC=180\mathrm{m} \angle \mathrm{ABC}=180^{\circ}, then ABC\angle ABC is: Acute, A) Obtuse.

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Problem 11273

Draw a card from a deck: win \$6 for a face card, \$5 for an ace, lose \$3 for others. Find the probability distribution and expected gain.

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Problem 11274

Draw a card from a deck: win \$5 for an ace, \$6 for a face ace, lose \$3 for others. Find the probability distribution and expected gain.

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Problem 11275

Evaluate the function f(x)=2x+5f(x)=2x+5 for x=5,0,4,2,3x=5, 0, 4, -2, 3 and identify the true statements.

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Problem 11276

You have grades of 86 and 91. What do you need on the final to average at least 90? Also, what final grades risk dropping below a B (80)?

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Problem 11277

Does the table show a function? Check if each input in the domain has a unique output in the range. Domain: 232 \to 3, 454 \to 5, 656 \to 5, 858 \to 5.

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Problem 11278

Calculate the mean and standard deviation of the concentrations: 0.1123, 0.1087, 0.1139, 0.1112, 0.1189. Show your work!

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Problem 11279

A company expects 0.7%0.7\% of products to fail after warranty, costing \250.Theysella$39warranty.Findprofit250. They sell a \$39 warranty. Find profit x$ values and expected value.

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Problem 11280

Use the Grubbs test to check if 0.11890.1189 is an outlier in the data set 0.1123,0.1087,0.1139,0.1112,0.11890.1123, 0.1087, 0.1139, 0.1112, 0.1189 at 95%95\% confidence. Show your calculations.

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Problem 11281

Sketch the graphs of f(x)=x2+2x+8f(x)=-x^{2}+2x+8 and g(x)=2x+4g(x)=2x+4. Find the coordinates of AA and BB (x-intercepts of ff).

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Problem 11282

A jar has 63 marbles: 8 red, 25 blue, 30 green. Draw a marble: win \$20 for red, lose \$10 for blue, lose \$5 for green.
1. Find the expected outcome.
2. Is it profitable to play long-term?

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Problem 11283

A jar has 63 marbles: 8 red, 25 blue, 30 green. Draw a marble: win \$20 (red), lose \$10 (blue), lose \$5 (green). Find the expected outcome.

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Problem 11284

A rifle fires 22LR22 L R bullets with speed v=(5.35×107)t2+(2.30×105)tv=(-5.35 \times 10^{7}) t^{2}+(2.30 \times 10^{5}) t.
(a) Find acceleration a=dvdta=\frac{d v}{d t} and position x=vdtx=\int v d t.
(b) Time of acceleration (s).
(c) Speed when leaving barrel (m/s).
(d) Length of barrel (m).

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Problem 11285

Is the inequality 2(2x+9)>4x+9-2(2 x+9)>-4 x+9 true always, sometimes, or never? (1 point)

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Problem 11286

What bias occurs due to incomplete population information? A. sampling B. response C. nonresponse D. numeric

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Problem 11287

After securing the string at point A and setting its length over half of ABAB, what should you do next?

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Problem 11288

Arrange the following numbers from least to greatest: π\pi, 3.13.\overline{1}, 232\sqrt{3}, and 2452\frac{4}{5}.

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Problem 11289

Identify the option that is NOT part of a well-designed experiment: A. replication, B. bias, C. randomization, D. control.

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Problem 11290

Order the numbers 0.12|-0.12|, 182\sqrt{\frac{1}{82}}, 18\frac{1}{8}, and 19\frac{1}{9} from smallest to largest.

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Problem 11291

Which option is not a rational number? A. 32\frac{3}{2} B. 7\sqrt{7} C. 16\sqrt{16} D. 0.290.\overline{29}

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Problem 11292

Which inequality represents that twelve times the sum of three and cc is greater than 2727?

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Problem 11293

Identify the form of the polynomial: x2+10x7x+4+x23xx^{2}+10 x-7 x+4+x^{2}-3 x. Is it factored, standard, or mixed?

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Problem 11294

Determine if the polynomial (9x4)(x+7)+1(9 x-4)(x+7)+1 is in factored, standard, or mixed form.

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Problem 11295

Identify the irrational number from the options: A. 4\sqrt{4}, B. 35\sqrt{35}, C. 49\sqrt{49}, D. 64\sqrt{64}.

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Problem 11296

Find the mean number of books read by students given the frequencies: 8 (6), 9 (4), 10 (1), 11 (4), 12 (4), 14 (1).

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Problem 11297

Find the equation of a circle with center at the origin and radius 12\frac{1}{2}. Options: A. x2+y2=14x^{2}+y^{2}=\frac{1}{4} B. x2+y2=12x^{2}+y^{2}=\frac{1}{2} C. x2+y2=1x^{2}+y^{2}=1 D. x2+y2=2x^{2}+y^{2}=2

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Problem 11298

Is "Every circuit is a path" true or false? If false, correct it. Options: A, B, C, D.

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Problem 11299

If you multiply two decimals less than 1, will the product be less than both factors? Explain your reasoning.

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Problem 11300

Is the statement "Every path is a circuit" true or false? If false, correct it. Options: A, B, C, or D.

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