Analyze

Problem 11401

Identify the irrational numbers from the following: a. $\sqrt{42}$ , b. $\sqrt{36}$ , c. $\sqrt{361}$ , d. $\sqrt{18}$ , e. $2-5\sqrt{2}$ , f. $\sqrt{3} \div 2$ . Select all that apply.

See Solution

Problem 11402

Write two decimals equivalent to 5.300 and 3.7.

See Solution

Problem 11403

Find the next equation in the sequence:
1 = $1^2$ , 1 + 2 + 1 = $2^2$ , 1 + 2 + 3 + 2 + 1 = $3^2$ , 1 + 2 + 3 + 4 + 3 + 2 + 1 = $4^2$ .
Verify your answer.

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Problem 11404

Identify the multiples of 8 from the options: A. $1,2,4,8$ B. $8,16,32,64, \ldots$ C. $1,2,4,8,16, \ldots$ D. $8,16,24,32, \ldots$

See Solution

Problem 11405

Check if $(-2,1)$ satisfies the equations: $-x-5y=-3$ and $-3x-4y=2$ . Is it a solution? Yes or No.

See Solution

Problem 11406

Find $f \circ g$ , $g \circ f$ , and $g \circ g$ for $f(x)=x^{2}$ and $g(x)=x-1$ .

See Solution

Problem 11407

Find $f \circ g$ , $g \circ f$ , and $g \circ g$ for $f(x)=x^{2}$ and $g(x)=x-1$ .

See Solution

Problem 11408

Find $f \circ g$ and $g \circ f$ for $f(x)=\sqrt{x+8}$ and $g(x)=x^{2}$ . Determine the domains in interval notation.

See Solution

Problem 11409

20 tens = 200

See Solution

Problem 11410

Find the intercepts of the line given by $y-3=5(x-2)$ . $y$ -intercept: $x$ -intercept:

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Problem 11411

Graph the system of equations: $x+y=-1$ and $x-y=7$ . Identify the solution set: A, B, or C.

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Problem 11412

Complete the statements on place value: a. 10 times 1 hundred is \_\_\_\_\_\_\_\_\_\_\_. b. 10 times hundreds is 60 hundreds or \_\_\_\_\_\_\_\_\_\_\_. c. 8 hundreds is \_\_\_\_\_\_\_\_\_\_\_. d. Hundreds is the same as \_\_\_\_\_\_\_\_\_\_\_.

See Solution

Problem 11413

Transform $y=x^{4}$ to $y=4[3(x+2)]^{4}-6$ . Describe transformations, complete the table, sketch the graph, and state domain, range, vertex, and axis of symmetry.

See Solution

Problem 11414

What shape will the distribution of children per family be from 3000 surveyed parents? Options: Left Skewed, Right Skewed, Symmetric, Uniform.

See Solution

Problem 11415

Identify the arithmetic sequence from the formula $a_{n}=10n+12$ and the terms 12, 22, 32, 42, 52.

See Solution

Problem 11416

Transform $y=x^{4}$ to $y=4[3(x+2)]^{4}-6$ . Identify transformations, complete the table, and sketch the graph.

See Solution

Problem 11417

Find the 3rd quartile of the following 40 sorted data values: 3, 3, 4, 15, 16, 16, 20, 23, 23, 25, 25, 26, 28, 32, 36, 38, 45, 46, 53, 54, 55, 57, 58, 62, 62, 62, 63, 70, 72, 72, 72, 75, 83, 84, 88, 91, 95, 97, 97, 100.

See Solution

Problem 11418

Select three correct measures of the center of a data set: mean, mode, median, range, standard deviation, IQR, lower limit, upper limit.

See Solution

Problem 11419

Determine if the function $f(x)=\frac{-x^{3}}{9 x^{2}-3}$ is even, odd, or neither.

See Solution

Problem 11420

Iko's temperature changed by +11° and then -14°. Write the expression and find the net change: $+11 + (-14) = -3°$ What is the net change?

See Solution

Problem 11421

Find the outliers using the five number summary: Min \$35,263, Q1 \$63,617, Median \$507,206.5, Q3 \$1,324,622, Max \$4,667,715.

See Solution

Problem 11422

Is $8 \times 8^{5}$ the same as $(8 \times 8)^{5}$ ? Justify your answer.

See Solution

Problem 11423

Use a number line to demonstrate the process of finding the sum of two numbers, $a$ and $b$ .

See Solution

Problem 11424

Use a number line to find the sum of $4 + (-8)$ . Explain your method in detail.

See Solution

Problem 11425

Find and interpret $(A \circ r)(t)$ where $r(t)=0.7 t$ and $A(r)=\pi r^{2}$ .

See Solution

Problem 11426

Identify the type of narrator that uses pronouns he, she, and they: second-person, third-person, first-person, or fourth-person.

See Solution

Problem 11427

Divide 48 by 4 and use the circle graph to answer questions 8-10.

See Solution

Problem 11428

Find the real zeros and their multiplicities for $f(x)=\frac{1}{5} x^{2}(x^{2}-3)$ and state if the graph crosses or touches the $\mathrm{x}$ -axis.

See Solution

Problem 11429

Use a number line to show how to calculate the sum of $4 + (-8)$ .

See Solution

Problem 11430

Find outliers using the interquartile range from the five-number summary: Min=50, Q1=62, Median=84, Q3=96, Max=99.

See Solution

Problem 11431

The weekly cost $C$ for producing $x$ units is $C(x)=50x+2250$ , with $x(t)=60t$ .
(a) Find $(C \circ x)(t)$ . (b) Calculate the cost for 4 hours. (c) Determine time for cost to reach \$15,000.

See Solution

Problem 11432

Determine the domain and range of the graph: Domain: $[-1, \infty]$ , Range: $[-1, \infty]$ . Use -oo for -∞ and oo for ∞.

See Solution

Problem 11433

Find outliers using the interquartile range from the five number summary: Min=57, Q1=64, Median=66, Q3=76, Max=80.

See Solution

Problem 11434

Find the 3rd quartile of 60 data values summarized in the frequency table with values and their frequencies.

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Problem 11435

Describe the solution set for $16 x^{2}-8 x+1=0$ : how many real solutions are there and why?

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Problem 11436

Find the 80th percentile from the given values and their frequencies: (1,4), (2,7), (3,4), (60,3), (7,2), (8,2), (9,4), (10,1), (11,5), (12,4), (13,3), (14,4), (15,3), (16,1), (17,5), (18,1), (19,3), (20,5).

See Solution

Problem 11437

Determine the vertical asymptotes of the function $g(x)=\frac{8 x}{(x+9)(x-6)}$ .

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Problem 11438

Find the 3rd percentile of the dataset with values and their frequencies given in the table.

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Problem 11439

Find the third quartile (Q3) of the data from the given frequency distribution.

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Problem 11440

Determine the domain of the function $f(x)=\log_{10}(x^{2}-10x+24)$ .

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Problem 11441

Find the 3rd quartile of the following 36 data values: 1, 1, 1, 7, 10, 13, 14, 16, 18, 19, 19, 22, 25, 28, 31, 40, 45, 46, 50, 55, 56, 57, 58, 59, 61, 61, 64, 64, 76, 91, 95, 98, 98, 99, 99, 100.

See Solution

Problem 11442

Find the 3rd quartile of the following 36 sorted data values: 1, 1, 1, 7, 10, 13, 14, 16, 18, 19, 19, 22, 25, 28, 31, 40, 45, 46, 50, 55, 56, 57, 58, 59, 61, 61, 64, 64, 76, 91, 95, 98, 98, 99, 99, 100.

See Solution

Problem 11443

Calculate (a) mean, (b) median, (c) mode, (d) midrange for jersey numbers: 29, 24, 64, 41, 93, 45, 28, 83, 62, 73, 94. What do the results indicate?

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Problem 11444

Find the 2nd quartile (median) of the 48 sorted data values: 1, 5, 8, 11, 13, 15, 16, 17, 26, 27, 30, 31, 34, 35, 35, 37, 39, 40, 41, 42, 43, 43, 46, 47, 47, 50, 51, 52, 53, 54, 55, 55, 55, 64, 65, 66, 68, 74, 75, 80, 82, 82, 83, 83, 90, 93, 94, 99.

See Solution

Problem 11445

Draw a Venn diagram for sets of triangles: equilateral $E$ , isosceles $I$ , right-angled $R$ . Describe their unions and intersections.

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Problem 11446

Find the mean, median, mode, and midrange of celebrity net worths (in millions): 265, 190, 175, 155, 145, 145, 135. What do these results imply?

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Problem 11447

Find potential outliers in the data set using the IQR method: Q1, Q3, IQR, and values outside $Q1 - 1.5 \times IQR$ or $Q3 + 1.5 \times IQR$ .

See Solution

Problem 11448

Find the outlier in the data set with values and frequencies, including the value 29 with frequency 1.

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Problem 11449

Draw a Venn diagram for equilateral (E), isosceles (I), and right-angled (R) triangles. Sketch I $\cap$ R and describe I ∪ E, I ∪ R, I ∩ E, and E ∩ R.

See Solution

Problem 11450

Complete the statement using $<$ , $>$ , or $=$ : 13. $4=|-8|$ 14. $|-7|$

See Solution

Problem 11451

Is $|-7|$ less than, greater than, or equal to $-12$ ?

See Solution

Problem 11452

Is it true that $-7 < |3|$ ?

See Solution

Problem 11453

Determine the domain of the function $f(x) = \frac{x}{\sqrt{x-8}}$ .

See Solution

Problem 11454

Complete the statement: $4 \succeq|-8|$

See Solution

Problem 11455

Identify outliers using the interquartile range from the five-number summary: Min \$35,263, Q1 \$150,000, Median \$738,703.5, Q3 \$1,711,568, Max \$5,704,790.

See Solution

Problem 11456

4 equals the absolute value of -8.

See Solution

Problem 11457

Find the 3rd quartile of the following 44 data values: 1, 4, 6, 7, 7, 9, 12, 13, 13, 14, 14, 14, 15, 17, 26, 27, 29, 30, 36, 43, 47, 47, 48, 49, 51, 55, 55, 59, 63, 65, 70, 70, 70, 78, 83, 89, 92, 93, 96, 96, 99, 99, 99.

See Solution

Problem 11458

Find the 30th percentile of this sorted data set: 3, 3, 4, 5, 6, 6, 10, 15, 18, 18, 19, 20, 22, 22, 24, 25, 29, 29, 29, 33, 33, 34, 34, 39, 40, 44, 44, 44, 46, 50, 50, 51, 51, 52, 55, 55, 57, 57, 58, 58, 62, 66, 70, 72, 72, 72, 75, 75, 75, 78, 79, 83, 85, 85, 88, 88, 91, 97, 100, 100.

See Solution

Problem 11459

Find the 17th percentile of the population density data: 1, 19, 35, 43, 49, 55, 56, 56, 63, 67, 94, 105, 110, 168, 175, 181, 212, 231, 239, 351, 461, 595, 738, 839, 9857.

See Solution

Problem 11460

Is $4$ greater than or equal to the absolute value of $-8$ ?

See Solution

Problem 11461

Find the 17th percentile of the following population density data: $1, 19, 35, 43, 49, 55, 56, 56, 63, 67, 94, 105, 110, 168, 175, 181, 212, 231, 239, 351, 461, 595, 738, 839, 9857$ .

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Problem 11462

Find the 80th percentile of the given frequency distribution values and their frequencies.

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Problem 11463

Calculate the (a) mean, (b) median, (c) mode, and (d) midrange for the pea phenotype data: 3, 3, 1, 3, 2, 1, 1, 4, 1, 4, 4, 1, 4, 1.

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Problem 11464

Which extreme temperature in Rapid City, $-19^{\circ} \mathrm{F}$ or $92^{\circ} \mathrm{F}$ , is closer to the average of $45.2^{\circ} \mathrm{F}$ ?

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Problem 11465

Graph the function $f(x)=\sqrt[3]{x}$ .

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Problem 11466

Find the 1st, 2nd, and 3rd quartiles of the population density data: $1,19,35,43,49,55,56,56,63,67,94,105,110,168,175,181,212,231,239,351,461,595,738,839,9857$ .

See Solution

Problem 11467

Find the 80th percentile for this data set with values and frequencies: (1,4), (2,3), (3,4), (5,2), (6,3), (7,7), (8,4), (9,1), (10,2), (11,2), (12,1), (13,3), (14,4), (15,1), (16,4), (17,4), (18,4), (19,5), (20,2).

See Solution

Problem 11468

Find the 80th percentile for the following frequency values: 1: 4, 2: 3, 3: 4, 5: 2, 6: 3, 7: 7, 8: 4, 9: 1, 10: 2, 11: 2, 12: 1, 13: 3, 14: 4, 15: 1, 16: 4, 17: 4, 18: 4, 19: 5, 20: 2.

See Solution

Problem 11469

Is Jackson correct to conclude that triangles are similar from $\frac{3}{6}=\frac{2}{4}$ ? Explain your reasoning.

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Problem 11470

Find the limit $\lim _{x \rightarrow 7^{+}} F(x)$ for the function $F(x)=\frac{x^{2}-49}{|x-7|}$ . Does it exist?

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Problem 11471

Is this shape a square? Choose the correct reason: A. Perpendicular sides, equal length. B. Parallel sides, equal length. C. Opposite sides not parallel. D. Sides not congruent.

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Problem 11472

Check if the triangle with vertices B(-1,5), A(2,3), and C(0,0) is a right triangle using the distances.

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Problem 11473

Identify the rational numbers from the list: A. 0, B. $5.73773777 \ldots$ , C. $-\frac{6}{5}$ , D. $\sqrt{48}$ , E. 8, F. -8.

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Problem 11474

Identify corresponding points and sides in two $H$ -shaped polygons. Find the scale factor for the smaller copy.

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Problem 11475

Select subtraction problems with a difference of 1.65: 27.30-16.65, 3.809-2.744, 11.23-9.58, 21.74-20.09, 40.4-23.9.

See Solution

Problem 11476

Find functions $f(x)$ and $g(x)$ such that $h(x)=(f \circ g)(x)$ with $h(x)=(2-3 x)^{2}$ and $g(x)=2-3 x$ .

See Solution

Problem 11477

Calculate the mean of this data set: $1.22, 2.92, 2.49, 0.72, 2.52, 1.55, 2.28, 2.64, 2.81, 2.22, 0.19, 0.28, 0.52, 0.19, 1.41, 1.59, 2.71, 1.05, 2.08, 1.48, 2.54, 2.94, 2.83, 2.03, 2.47, 1.73, 1.85, 1.99, 1.04, 1.98, 1.52, 2.11, 0.74, 0.48, 2.15, 0.51, 1.97, 1.99, 2.02, 0.34, 1.11, 2.06, 1.67, 2.14, 0.57, 0.81, 2.92, 2.75, 0.33, 2.69$

See Solution

Problem 11478

What is the name of the compound $\mathrm{Cu}_{3} \mathrm{P}_{2}$ ?

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Problem 11479

Find $\lim _{x \rightarrow-1^{+}} f(x)$ for the function $f(x)$ with a hole at $x=-5$ and a value at $x=-1$ .

See Solution

Problem 11480

Determine if the graphs of $f(x)=-\sqrt{x}$ and $g(x)=\sqrt{-x}$ are identical.

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Problem 11481

Find the median of these numbers: 1.22, 2.92, 2.49, 0.72, 2.52, 1.55, 2.28, 2.64, 2.81, 2.22, 0.19, 0.28, 0.52, 0.19, 1.41, 1.59, 2.71, 1.05, 2.08, 1.48, 2.54, 2.94, 2.83, 2.03, 2.47, 1.73, 1.85, 1.99, 1.04, 1.98, 1.52, 2.11, 0.74, 0.48, 2.15, 0.51, 1.97, 1.99, 2.02, 0.34, 1.11, 2.06, 1.67, 2.14, 0.57, 0.81, 2.92, 2.75, 0.33, 2.69.

See Solution

Problem 11482

Find the 2nd quartile (median) of the following 56 sorted data values: 1, 2, 5, 7, 7, 9, 10, 11, 11, 14, 15, 15, 15, 18, 18, 18, 22, 22, 22, 23, 26, 27, 28, 33, 34, 34, 35, 38, 38, 39, 41, 42, 45, 48, 52, 52, 54, 58, 59, 61, 65, 66, 68, 70, 79, 84, 87, 87, 87, 88, 89, 91, 93, 96, 97, 98.

See Solution

Problem 11483

Find the 80th percentile from the given frequency distribution: (1,4), (2,7), (3,4), (6,3), (7,2), (8,2), (9,4), (10,1), (11,5), (12,4), (13,3), (14,4), (15,3), (16,1), (17,5), (18,1), (19,2), (20,5).

See Solution

Problem 11484

Find the 80th percentile of this frequency distribution: Values: 1, 2, 3, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20 with frequencies: 4, 7, 4, 3, 2, 2, 4, 1, 5, 4, 3, 4, 3, 1, 5, 1, 2, 5.

See Solution

Problem 11485

Which expressions are equivalent: (A) $7+21v$ vs $2(5+3v)$ , (B) $7+21v$ vs $3(4+7v)$ , (C) $7+21v$ vs $7(1+3v)$ ?

See Solution

Problem 11486

Find the third quartile (Q3) from the given frequency distribution data.

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Problem 11487

Melissa's salary was \ $70,000. Find her$ z$-score given mean \$72,000 and SD \$5300. Round to 2 decimal places.
Interpret: Melissa's salary was $\square$ standard deviations (Choose one) $\mathbf{\nabla}$ the mean.

See Solution

Problem 11488

Which expressions are equal? (A) $17(3 m+4)$ vs $51 m+68$ , (B) $51 m+67$ , (C) $51 m-68$ , (D) $47 m+51$ .

See Solution

Problem 11489

Which two expressions are equal: (A) $\frac{32 p}{2}$ and $17 p$ , (B) $\frac{32 p}{2}$ and $18 p$ , (C) $\frac{32 p}{2}$ and $16 p$ , (D) $\frac{32 p}{2}$ and $14 p$ ?

See Solution

Problem 11490

Find the third quartile (Q3) for the data set with values and frequencies: (1,2), (2,2), (3,3), (4,2), (5,2), (6,5), (7,2), (8,2), (9,3), (10,4), (11,2), (12,3), (13,1), (14,3), (15,3), (16,3), (17,2), (18,9), (19,1), (20,6).

See Solution

Problem 11491

Calculate the mean from the frequency distribution and compare it to the actual mean of 50.9 degrees. Frequencies: 3, 6, 10, 4, 1.

See Solution

Problem 11492

Find the percentage of Mr. P's class test scores that are less than 74 from the scores: 90, 85, 74, 66, 92, 83, 61, 68, 80, 61, 82, 58, 77, 63, 88.

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Problem 11493

Is it better to express a bull's weight as 1,700 pounds or $2.72 \times 10^{4}$ ounces? Justify your choice.

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Problem 11494

Analyze the quadratic function $f(x)=-3 x^{2}-30 x-77$ . Does it have a minimum or maximum? Where does it occur, and what is the value?

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Problem 11495

Which two expressions are equivalent? (A) $\left(\frac{5}{25}\right)x$ and $\left(\frac{1}{3}\right)x$ (B) $\left(\frac{1}{5}\right)x$ (C) $\left(\frac{1}{4}\right)x$ (D) $\left(\frac{1}{6}\right)x$

See Solution

Problem 11496

Which expressions are equivalent: $\frac{64 k}{4}$ , $4 k$ , $14 k$ , $16 k$ , or $15 k$ ?

See Solution

Problem 11497

Find the $25^{\text{th}}$ and $60^{\text{th}}$ percentiles for these distances: 14, 9, 9, 6, 25, 24, 18, 28, 1, 16, 31, 2, 40, 3, 36, 11.

See Solution

Problem 11498

Determine which option equals $575d - 100$ : (1) $25(22d - 4)$ , (2) $25(23d - 4)$ , (3) $25(23d + 4)$ , (4) $25(25d - 4)$ .

See Solution

Problem 11499

Calculate the mean of the frequency distribution for speeds: 42-45 (26), 46-49 (14), 50-53 (7), 54-57 (4), 58-61 (1).

See Solution

Problem 11500

A baker uses $13 \frac{1}{2}$ cups of flour for key lime bread, $2 \frac{1}{4}$ cups per loaf. How many loaves does she sell?

See Solution

1 ...112 113 114 115 116 117 118 ...160

Analyze

Problem 11401

Identify the irrational numbers from the following: a. 42\sqrt{42}42​, b. 36\sqrt{36}36​, c. 361\sqrt{361}361​, d. 18\sqrt{18}18​, e. 2−522-5\sqrt{2}2−52​, f. 3÷2\sqrt{3} \div 23​÷2. Select all that apply.

Problem 11402

Write two decimals equivalent to 5.300 and 3.7.

Problem 11403

Find the next equation in the sequence: 1 = 121^212, 1 + 2 + 1 = 222^222, 1 + 2 + 3 + 2 + 1 = 323^232, 1 + 2 + 3 + 4 + 3 + 2 + 1 = 424^242. Verify your answer.

Problem 11404

Identify the multiples of 8 from the options: A. 1,2,4,81,2,4,81,2,4,8 B. 8,16,32,64,…8,16,32,64, \ldots8,16,32,64,… C. 1,2,4,8,16,…1,2,4,8,16, \ldots1,2,4,8,16,… D. 8,16,24,32,…8,16,24,32, \ldots8,16,24,32,…

Problem 11405

Check if (−2,1)(-2,1)(−2,1) satisfies the equations: −x−5y=−3-x-5y=-3−x−5y=−3 and −3x−4y=2-3x-4y=2−3x−4y=2. Is it a solution? Yes or No.

Problem 11406

Find f∘gf \circ gf∘g, g∘fg \circ fg∘f, and g∘gg \circ gg∘g for f(x)=x2f(x)=x^{2}f(x)=x2 and g(x)=x−1g(x)=x-1g(x)=x−1.

Problem 11407

Find f∘gf \circ gf∘g, g∘fg \circ fg∘f, and g∘gg \circ gg∘g for f(x)=x2f(x)=x^{2}f(x)=x2 and g(x)=x−1g(x)=x-1g(x)=x−1.

Problem 11408

Find f∘gf \circ gf∘g and g∘fg \circ fg∘f for f(x)=x+8f(x)=\sqrt{x+8}f(x)=x+8​ and g(x)=x2g(x)=x^{2}g(x)=x2. Determine the domains in interval notation.

Problem 11409

20 tens = 200

Problem 11410

Find the intercepts of the line given by y−3=5(x−2)y-3=5(x-2)y−3=5(x−2). yyy-intercept: xxx-intercept:

Problem 11411

Graph the system of equations: x+y=−1x+y=-1x+y=−1 and x−y=7x-y=7x−y=7. Identify the solution set: A, B, or C.

Problem 11412

Complete the statements on place value: a. 10 times 1 hundred is \_\_\_\_\_\_\_\_\_\_\_. b. 10 times hundreds is 60 hundreds or \_\_\_\_\_\_\_\_\_\_\_. c. 8 hundreds is \_\_\_\_\_\_\_\_\_\_\_. d. Hundreds is the same as \_\_\_\_\_\_\_\_\_\_\_.

Problem 11413

Transform y=x4y=x^{4}y=x4 to y=4[3(x+2)]4−6y=4[3(x+2)]^{4}-6y=4[3(x+2)]4−6. Describe transformations, complete the table, sketch the graph, and state domain, range, vertex, and axis of symmetry.

Problem 11414

What shape will the distribution of children per family be from 3000 surveyed parents? Options: Left Skewed, Right Skewed, Symmetric, Uniform.

Problem 11415

Identify the arithmetic sequence from the formula an=10n+12a_{n}=10n+12an​=10n+12 and the terms 12, 22, 32, 42, 52.

Problem 11416

Transform y=x4y=x^{4}y=x4 to y=4[3(x+2)]4−6y=4[3(x+2)]^{4}-6y=4[3(x+2)]4−6. Identify transformations, complete the table, and sketch the graph.

Problem 11417

Find the 3rd quartile of the following 40 sorted data values: 3, 3, 4, 15, 16, 16, 20, 23, 23, 25, 25, 26, 28, 32, 36, 38, 45, 46, 53, 54, 55, 57, 58, 62, 62, 62, 63, 70, 72, 72, 72, 75, 83, 84, 88, 91, 95, 97, 97, 100.

Problem 11418

Select three correct measures of the center of a data set: mean, mode, median, range, standard deviation, IQR, lower limit, upper limit.

Problem 11419

Determine if the function f(x)=−x39x2−3f(x)=\frac{-x^{3}}{9 x^{2}-3}f(x)=9x2−3−x3​ is even, odd, or neither.

Problem 11420

Iko's temperature changed by +11° and then -14°. Write the expression and find the net change: +11+(−14)=−3° +11 + (-14) = -3° +11+(−14)=−3° What is the net change?

Problem 11421

Find the outliers using the five number summary: Min \$35,263, Q1 \$63,617, Median \$507,206.5, Q3 \$1,324,622, Max \$4,667,715.

Problem 11422

Is 8×858 \times 8^{5}8×85 the same as (8×8)5(8 \times 8)^{5}(8×8)5? Justify your answer.

Problem 11423

Use a number line to demonstrate the process of finding the sum of two numbers, aaa and bbb.

Problem 11424

Use a number line to find the sum of 4+(−8)4 + (-8)4+(−8). Explain your method in detail.

Problem 11425

Find and interpret (A∘r)(t)(A \circ r)(t)(A∘r)(t) where r(t)=0.7tr(t)=0.7 tr(t)=0.7t and A(r)=πr2A(r)=\pi r^{2}A(r)=πr2.

Problem 11426

Identify the type of narrator that uses pronouns he, she, and they: second-person, third-person, first-person, or fourth-person.

Problem 11427

Divide 48 by 4 and use the circle graph to answer questions 8-10.

Problem 11428

Find the real zeros and their multiplicities for f(x)=15x2(x2−3)f(x)=\frac{1}{5} x^{2}(x^{2}-3)f(x)=51​x2(x2−3) and state if the graph crosses or touches the x\mathrm{x}x-axis.

Problem 11429

Use a number line to show how to calculate the sum of 4+(−8)4 + (-8)4+(−8).

Problem 11430

Find outliers using the interquartile range from the five-number summary: Min=50, Q1=62, Median=84, Q3=96, Max=99.

Problem 11431

The weekly cost CCC for producing xxx units is C(x)=50x+2250C(x)=50x+2250C(x)=50x+2250, with x(t)=60tx(t)=60tx(t)=60t. (a) Find (C∘x)(t)(C \circ x)(t)(C∘x)(t). (b) Calculate the cost for 4 hours. (c) Determine time for cost to reach \$15,000.

Problem 11432

Determine the domain and range of the graph: Domain: [−1,∞][-1, \infty][−1,∞], Range: [−1,∞][-1, \infty][−1,∞]. Use -oo for -∞ and oo for ∞.

Problem 11433

Find outliers using the interquartile range from the five number summary: Min=57, Q1=64, Median=66, Q3=76, Max=80.

Problem 11434

Find the 3rd quartile of 60 data values summarized in the frequency table with values and their frequencies.

Problem 11435

Describe the solution set for 16x2−8x+1=016 x^{2}-8 x+1=016x2−8x+1=0: how many real solutions are there and why?

Problem 11436

Find the 80th percentile from the given values and their frequencies: (1,4), (2,7), (3,4), (60,3), (7,2), (8,2), (9,4), (10,1), (11,5), (12,4), (13,3), (14,4), (15,3), (16,1), (17,5), (18,1), (19,3), (20,5).

Problem 11437

Determine the vertical asymptotes of the function g(x)=8x(x+9)(x−6)g(x)=\frac{8 x}{(x+9)(x-6)}g(x)=(x+9)(x−6)8x​.

Problem 11438

Find the 3rd percentile of the dataset with values and their frequencies given in the table.

Problem 11439

Find the third quartile (Q3) of the data from the given frequency distribution.

Problem 11440

Identify the irrational numbers from the following: a. $\sqrt{42}$ , b. $\sqrt{36}$ , c. $\sqrt{361}$ , d. $\sqrt{18}$ , e. $2-5\sqrt{2}$ , f. $\sqrt{3} \div 2$ . Select all that apply.

Find the next equation in the sequence:
1 = $1^2$ , 1 + 2 + 1 = $2^2$ , 1 + 2 + 3 + 2 + 1 = $3^2$ , 1 + 2 + 3 + 4 + 3 + 2 + 1 = $4^2$ .
Verify your answer.

Identify the multiples of 8 from the options: A. $1,2,4,8$ B. $8,16,32,64, \ldots$ C. $1,2,4,8,16, \ldots$ D. $8,16,24,32, \ldots$

Check if $(-2,1)$ satisfies the equations: $-x-5y=-3$ and $-3x-4y=2$ . Is it a solution? Yes or No.

Find $f \circ g$ , $g \circ f$ , and $g \circ g$ for $f(x)=x^{2}$ and $g(x)=x-1$ .

Find $f \circ g$ , $g \circ f$ , and $g \circ g$ for $f(x)=x^{2}$ and $g(x)=x-1$ .

Find $f \circ g$ and $g \circ f$ for $f(x)=\sqrt{x+8}$ and $g(x)=x^{2}$ . Determine the domains in interval notation.

Find the intercepts of the line given by $y-3=5(x-2)$ . $y$ -intercept: $x$ -intercept:

Graph the system of equations: $x+y=-1$ and $x-y=7$ . Identify the solution set: A, B, or C.

Transform $y=x^{4}$ to $y=4[3(x+2)]^{4}-6$ . Describe transformations, complete the table, sketch the graph, and state domain, range, vertex, and axis of symmetry.

Identify the arithmetic sequence from the formula $a_{n}=10n+12$ and the terms 12, 22, 32, 42, 52.

Transform $y=x^{4}$ to $y=4[3(x+2)]^{4}-6$ . Identify transformations, complete the table, and sketch the graph.

Determine if the function $f(x)=\frac{-x^{3}}{9 x^{2}-3}$ is even, odd, or neither.

Iko's temperature changed by +11° and then -14°. Write the expression and find the net change: $+11 + (-14) = -3°$ What is the net change?

Is $8 \times 8^{5}$ the same as $(8 \times 8)^{5}$ ? Justify your answer.

Use a number line to demonstrate the process of finding the sum of two numbers, $a$ and $b$ .

Use a number line to find the sum of $4 + (-8)$ . Explain your method in detail.

Find and interpret $(A \circ r)(t)$ where $r(t)=0.7 t$ and $A(r)=\pi r^{2}$ .

Find the real zeros and their multiplicities for $f(x)=\frac{1}{5} x^{2}(x^{2}-3)$ and state if the graph crosses or touches the $\mathrm{x}$ -axis.

Use a number line to show how to calculate the sum of $4 + (-8)$ .

The weekly cost $C$ for producing $x$ units is $C(x)=50x+2250$ , with $x(t)=60t$ .
(a) Find $(C \circ x)(t)$ . (b) Calculate the cost for 4 hours. (c) Determine time for cost to reach \$15,000.

Determine the domain and range of the graph: Domain: $[-1, \infty]$ , Range: $[-1, \infty]$ . Use -oo for -∞ and oo for ∞.

Describe the solution set for $16 x^{2}-8 x+1=0$ : how many real solutions are there and why?

Determine the vertical asymptotes of the function $g(x)=\frac{8 x}{(x+9)(x-6)}$ .

Determine the domain of the function $f(x)=\log_{10}(x^{2}-10x+24)$ .

Draw a Venn diagram for sets of triangles: equilateral $E$ , isosceles $I$ , right-angled $R$ . Describe their unions and intersections.

Find potential outliers in the data set using the IQR method: Q1, Q3, IQR, and values outside $Q1 - 1.5 \times IQR$ or $Q3 + 1.5 \times IQR$ .

Draw a Venn diagram for equilateral (E), isosceles (I), and right-angled (R) triangles. Sketch I $\cap$ R and describe I ∪ E, I ∪ R, I ∩ E, and E ∩ R.

Complete the statement using $<$ , $>$ , or $=$ : 13. $4=|-8|$ 14. $|-7|$

Is $|-7|$ less than, greater than, or equal to $-12$ ?

Is it true that $-7 < |3|$ ?

Determine the domain of the function $f(x) = \frac{x}{\sqrt{x-8}}$ .

Complete the statement: $4 \succeq|-8|$

Is $4$ greater than or equal to the absolute value of $-8$ ?

Which extreme temperature in Rapid City, $-19^{\circ} \mathrm{F}$ or $92^{\circ} \mathrm{F}$ , is closer to the average of $45.2^{\circ} \mathrm{F}$ ?

Graph the function $f(x)=\sqrt[3]{x}$ .

Is Jackson correct to conclude that triangles are similar from $\frac{3}{6}=\frac{2}{4}$ ? Explain your reasoning.

Find the limit $\lim _{x \rightarrow 7^{+}} F(x)$ for the function $F(x)=\frac{x^{2}-49}{|x-7|}$ . Does it exist?

Identify the rational numbers from the list: A. 0, B. $5.73773777 \ldots$ , C. $-\frac{6}{5}$ , D. $\sqrt{48}$ , E. 8, F. -8.

Identify corresponding points and sides in two $H$ -shaped polygons. Find the scale factor for the smaller copy.