Math

Problem 54201

Write the next four numbers in the pattern: 1, 4, 9, 16, 25, ... and describe the pattern in words.

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Problem 54202

Find the height of a triangle with area $A = 35$ in² and base $b = 7$ in using $A = \frac{1}{2} b h$ .

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Problem 54203

Find the units digit of $3^{40}$ . Options: (A) 1 (B) 3 (C) 6 (D) 7 (E) 9

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Problem 54204

Find the next four numbers in the pattern $1, 4, 9, 16, 25, \ldots$ and describe the pattern.

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Problem 54205

In 2002, the median home price was \$ 184,200. Which standard deviation is most plausible: \$ 2000, \$ 60,000, or \$ 1,000,000? Why?

See Solution

Problem 54206

Alana buys 4 books, Petra 2, and Angus 16. Angus spent \$5 more than Alana and Petra combined. Find the book price.

See Solution

Problem 54207

Determine if 5 grams of protein and 2 grams of fat satisfy $4p + 9f = 60$ .

See Solution

Problem 54208

A venue has 30 shows with 150 attendees each. If 3,000 tickets are regular price, find total from discounted tickets at \$25. Use the Distributive Property for mental math.

See Solution

Problem 54209

What scale factor increases a rectangle (area $6 \mathrm{~cm}^{2}$ ) to an area of $96 \mathrm{~cm}^{2}$ ?

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Problem 54210

Which equation has the solution $x=$ all real numbers? 1) $4(3-x)+6 x=3 x+10-x$ 2) $4(3-x)+6 x=3 x+12-x$ 3) $4(3-x)+6 x=x+12-3 x$ 4) $4(3-x)+6 x=3 x+12+2 x$

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Problem 54211

Find the coordinates of a station between Rolesville $R(1,2)$ and Townsend $T(8,23)$ with a distance ratio of $3:4$ .

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Problem 54212

The bakery uses 1.75 cups of flour per batch. If they used 5.25 cups, how many batches did they make? How many cookies are in total if each batch has 5 dozen?

See Solution

Problem 54213

Complete the sequence $1,1,2,3,5,8, \ldots$ by finding the next four numbers and describe the pattern.

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Problem 54214

Is the statement "An outlier is any number above $Q_{3}$ or below $Q_{1}$ " true or false? If false, rewrite it correctly.

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Problem 54215

Solve for $k$ in the equation $2y + k = 6y - ky$ .

See Solution

Problem 54216

Badr ordered 5,675 pounds of flour in 25-pound bags. How many bags will he receive? Calculate: $\frac{5675}{25}$ .

See Solution

Problem 54217

How many complete bags of seeds with 20 packets each can be made from 40 Aster, 95 Daisy, 160 Pansy, 125 Sunflower, and 70 Wildflower?

See Solution

Problem 54218

Simone gets \$15 per mile. To raise \$510, how many miles must she bike?

See Solution

Problem 54219

Analyze unemployment rates for 15-24 year-olds in 28 regions. Find Q1, median, Q3, and discuss the 10th percentile's value.

See Solution

Problem 54220

An angle's supplement is three times the angle. Find the angle and its supplement. Let the angle be $x$ . Then, the supplement is $180 - x = 3x$ .

See Solution

Problem 54221

Round 7526.442 to the nearest hundredth.

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Problem 54222

Analyze youth unemployment rates in 28 regions: find Q1, median (Q2), Q3, and discuss the 10th percentile value.

See Solution

Problem 54223

Find the median, Q1, Q3 of youth unemployment rates. Is the 10th percentile closer to 6 or 16? Explain.

See Solution

Problem 54224

Type the decimal form of three and two tenths.

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Problem 54225

Find $x$ if the distances are $3x + 2$ , $3x + 4$ , and $9x - 3$ . Then, calculate the distance from Madison to Jamie.

See Solution

Problem 54226

Find the median, Q1, Q3 of youth unemployment rates. Is the 10th percentile closer to 6 or 16? Explain.

See Solution

Problem 54227

Find the real solutions for $x^{4}+9 x^{3}+12 x^{2}-11 x+21=0$ . Is the solution set empty or does it contain values?

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Problem 54228

Rays $BA$ and $BC$ are perpendicular. If $m \angle ABD=(3r+5)^{\circ}$ and $m \angle DBC=(5r-27)^{\circ}$ , find both angles. Also, if $m \angle W V Y=(4a+58)^{\circ}$ and $m \angle X V Y=(2b-18)^{\circ}$ , find $a$ and $b$ for perpendicular lines.

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Problem 54229

Express $\sin \left(\beta+20^{\circ}\right)$ using its cofunction for acute angles.

See Solution

Problem 54230

If a snack has 6 grams of fat, find the grams of protein using $4p + 6f = 60$ .

See Solution

Problem 54231

Solve for $\alpha$ in the equation $\cos \alpha=\sin \left(\alpha+30^{\circ}\right)$ , with acute angles only.

See Solution

Problem 54232

What is the length of the side of a square mat with an area of 81 square feet?

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Problem 54233

Solve for acute angle $\beta$ in the equation: $\sec(3\beta + 37^{\circ}) = \csc(\beta + 9^{\circ})$ .

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Problem 54234

Create a net for a triangle and a pyramid shape.

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Problem 54235

Find the real solutions for the equation $x^{4}+12 x^{3}+10 x^{2}-9 x+22=0$ . What is the solution set?

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Problem 54236

Find the missing value of $a$ if $M$ is the midpoint of $\overline{F G}$ with $F G=14 a+1$ and $F M=4.5$ .

See Solution

Problem 54237

Find the real solutions of the equation $5 x^{3}-3 x^{2}-35 x+21=0$ . Choose A or B for the solution set.

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Problem 54238

For 57 female athletes, $\bar{x}=72.4$ and $s=13.6$ . Use the empirical rule to find the interval for $68\%$ of data.

See Solution

Problem 54239

Analyze youth unemployment rates in 28 regions. Find Q2, Q1, Q3, and determine if the 10th percentile is closer to 6 or 16.

See Solution

Problem 54240

Data from 57 female athletes shows $\bar{x}=72.4$ and $s=13.6$ . Use the empirical rule to find intervals for 68% and 95%.

See Solution

Problem 54241

Quadrilateral A has sides 3, 6, 6, 9. Quadrilateral B scales A to shortest side 2. Does perimeter decrease by 4? (A) No (B) Yes. Explain.

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Problem 54242

Find an acute angle solution for the equation: $\sec(2\beta + 28^\circ) = \csc(3\beta + 7^\circ)$

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Problem 54243

Cora bought 4 pounds of nuts and 2 pounds of raisins for \$23.50. Mark bought 2 pounds of nuts and 4 pounds of raisins for \$18.50.
a. Find equations for the prices of nuts, $n$ , and raisins, $r$ . b. Solve for $n$ and $r$ and find their total cost together.

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Problem 54244

Jake's T.V. series has 3 seasons: 1 with 8 episodes and 2 with 12 episodes. Find the total episodes: $8 + 12 \times 2$ .

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Problem 54245

Rex and Sandy surveyed 30 longboard and 30 shortboard surfers. Calculate the means of days surfed for each type. Round to one decimal place.

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Problem 54246

For 57 female athletes, $\bar{x}=72.4$ and $s=13.6$ . Use the empirical rule to find intervals for 68%, 95%, and nearly all data.

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Problem 54247

Find the kiosk location along a 200m strip, weighted by entrance (3x) and splash pad. How far from entrance in July (2x)?

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Problem 54248

The unit for mass in chemistry is grams. Why is it used?

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Problem 54249

Belinda has 19 feet of rubber edging for a round garden. Find the area of the garden. Use $C = 2\pi r$ to solve.

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Problem 54250

Find the missing measure where $M$ is the midpoint of $\overline{F G}$ : $F M=2 k-5$ , $F G=18$ , k=\longdiv{T}.

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Problem 54251

Bryce rides $\frac{1}{3}$ mile in $\frac{1}{57}$ hour. Find his speed in miles per hour.

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Problem 54252

Which graph shows the inverse of the function $f(x) = x + 4$ ?

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Problem 54253

Figures R, S, and T are scaled copies. Find scale factors: T to S, S to R, R to T, and T to R.

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Problem 54254

What are accuracy and precision? Can an instrument be precise but not accurate? Explain.

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Problem 54255

Jason eats 10 ounces of candy in 5 days.
a) How many pounds does he eat daily? (16 ounces = 1 pound) b) How long to eat 1 pound of candy?

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Problem 54256

What fraction of Polygon B's area is Polygon A's area if B is a scaled copy of A with a scale factor of 5?

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Problem 54257

A psychologist studies MMPI scores of 12 serial killers. Find possible range values for Psychasthenia and Infrequency scales.

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Problem 54258

Jake's T.V. series has 3 seasons: 1 with 8 episodes and 2 with 12 episodes each. Find the total episodes, $C_{total}$ .

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Problem 54259

A forensic psychologist studies MMPI scores of 12 serial killers. Given scores: 51, 60, 35, 69, 32, 47, 66, 43, 58, 28, 55, 44. What is a possible range value? Options: 59, 49, 42, 20.

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Problem 54260

Determine the line equation through $(0,1)$ at a $60^{\circ}$ angle to $y=1$ .

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Problem 54261

Simplify the expression: $9(2 x)$ .

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Problem 54262

What is the decimal form of "six hundredths" as a number? Answer: $0.06$ .

See Solution

Problem 54263

Simplify the expression: $\frac{22 x y}{3 x}$ .

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Problem 54264

List the negative multiples of 6 in the set $\{x \mid x \text{ is a negative multiple of 6}\}$ .

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Problem 54265

Convert "one and three tenths" to decimal format. What is the value of $1.3$ ?

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Problem 54266

Identify the property illustrated by each statement: 1. $75+6=6+75$ 2. $\frac{7}{9} \cdot 1=\frac{7}{9}$ .

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Problem 54267

List the elements of the set of positive integer powers of 3: $\{3^n | n \in \mathbb{Z}^+\}$ .

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Problem 54268

Find the domain of the function $R(x)=\frac{13 x}{x+17}$ . Is it A: $x \neq -17$ or B: all real numbers?

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Problem 54269

Simplify the expression: $\frac{56 a b}{b}$ .

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Problem 54270

Find a possible range value from the scores: 56, 74, 55, 57, 53, 78, 76, 64, 73, 60, 67, 52. Options: 27, 64, 74, 18.

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Problem 54271

Calculate the mean, variance, and standard deviation of Vietnamese words known by 5 toddlers: A(33), B(27), C(45), D(38), E(42).

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Problem 54272

Write the set of even numbers from 2 to 8 in set-builder notation.

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Problem 54273

Find the domain of the function $H(x)=\frac{-3 x^{2}}{(x-1)(x+1)}$ . What values of $x$ are excluded?

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Problem 54274

Find the angle between the line $y=\sqrt{3} \cdot x+1$ and the positive side of the line $y=1$ .

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Problem 54275

Calculate the mean number of Vietnamese words understood by 5 toddlers: A (33), B (27), C (45), D (38), E (42).

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Problem 54276

Identify the property illustrated by each statement: 1. $75+6=6+75$ , 2. $\frac{7}{9} \cdot 1=\frac{7}{9}$ , 4. $389 \cdot 0=0$ , 5. $27 \cdot \pi=\pi \cdot 27$ .

See Solution

Problem 54277

Find the domain of the function $H(x)=\frac{-4 x^{2}}{(x-5)(x+6)}$ . Is it A: $x \neq \square$ or B: all real numbers?

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Problem 54278

Calculate the mean, variance, and standard deviation for toddlers' word counts: A=33, B=27, C=45, D=38, E=42.

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Problem 54279

Calculate the perimeter of a rectangle with length 8 cm and width 3 cm using $P = 2*(l + w)$ .

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Problem 54280

Find the domain of the function $F(x)=\frac{9 x(x-1)}{2 x^{2}-9 x-5}$ . Is it A. $x \neq \square$ or B. all real numbers?

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Problem 54281

Find the sum of $\frac{4}{9}$ and $\frac{5}{9}$ .

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Problem 54282

What is $\frac{1}{2} + 1$ ?

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Problem 54283

How many feet did the Roosevelt High School Environmental Club climb from 63 feet below sea level to 1,287 feet above?
Calculate: $1,287 - (-63)$ .

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Problem 54284

The Saddleback Seahawks gained 37 yards, lost 88, lost 105, and gained 12. What is their net yardage?

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Problem 54285

How many feet did the Roosevelt High School Environmental Club climb from 63 feet below sea level to 1,287 feet above sea level?

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Problem 54286

Is $1.01 + 0.99$ equal to 2?

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Problem 54287

The bakery uses 1.75 cups of flour per batch. If 5.25 cups were used, how many batches were made?

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Problem 54288

Find the probability of drawing a purple marble from a bag with 4 red, 6 purple, 9 blue, 3 green, and 2 yellow marbles.

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Problem 54289

Ein Tisch hat einen Durchmesser von $78 \mathrm{~cm}$ . Berechne Fläche, Umfang, Personenanzahl (Platzbedarf $60 \mathrm{~cm}$ ) und Holzbedarf (Dicke $6 \mathrm{~mm}$ ).

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Problem 54290

Find the derivative of $(x+1) \sin x$ .

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Problem 54291

Abby owes \$422 initially. After payments and borrowing in May and June, plus \$58 interest, what is her total debt at end of June?

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Problem 54292

Find the missing value in the equation: $\frac{2}{3}=\frac{8}{-}$ .

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Problem 54293

Mickey borrowed \$75 and paid back \$24.65. How much does he still owe?

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Problem 54294

Find the probability of drawing a red marble from a bag with 4 red, 6 purple, 9 blue, 3 green, and 2 yellow marbles.

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Problem 54295

Solve the inequality $4|x+6|+2<26$ .

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Problem 54296

A caterer buys cinnamon rolls (6 per box for \$3.75) and bagels (9 per box for \$2.25). Find the total cost for equal quantities.

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Problem 54297

What is the probability that Ava is assigned the numbers 1, 5, or 10 out of 16 possible tryout numbers?

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Problem 54298

Solve the equations: a) $4x - 12 = 7x + 15$ ; b) $18 - (16 - x) = 1$ .

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Problem 54299

Barnes \& Noble had science and art books in a $2:5$ ratio. After selling $20\%$ , 2,240 books were unsold. Find initial counts.

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Problem 54300

At the week's start, a Barnes & Noble had science and art books in a 2:5 ratio. After selling 20% of each, 2,240 books remain. Find initial counts.

See Solution

1 ...540 541 542 543 544 545 546 ...660

Math

Problem 54201

Write the next four numbers in the pattern: 1, 4, 9, 16, 25, ... and describe the pattern in words.

Problem 54202

Find the height of a triangle with area A=35A = 35A=35 in² and base b=7b = 7b=7 in using A=12bhA = \frac{1}{2} b hA=21​bh.

Problem 54203

Find the units digit of 3403^{40}340. Options: (A) 1 (B) 3 (C) 6 (D) 7 (E) 9

Problem 54204

Find the next four numbers in the pattern 1,4,9,16,25,…1, 4, 9, 16, 25, \ldots1,4,9,16,25,… and describe the pattern.

Problem 54205

In 2002, the median home price was \$ 184,200. Which standard deviation is most plausible: \$ 2000, \$ 60,000, or \$ 1,000,000? Why?

Problem 54206

Alana buys 4 books, Petra 2, and Angus 16. Angus spent \$5 more than Alana and Petra combined. Find the book price.

Problem 54207

Determine if 5 grams of protein and 2 grams of fat satisfy 4p+9f=604p + 9f = 604p+9f=60.

Problem 54208

A venue has 30 shows with 150 attendees each. If 3,000 tickets are regular price, find total from discounted tickets at \$25. Use the Distributive Property for mental math.

Problem 54209

What scale factor increases a rectangle (area 6 cm26 \mathrm{~cm}^{2}6 cm2) to an area of 96 cm296 \mathrm{~cm}^{2}96 cm2?

Problem 54210

Problem 54211

Find the coordinates of a station between Rolesville R(1,2)R(1,2)R(1,2) and Townsend T(8,23)T(8,23)T(8,23) with a distance ratio of 3:43:43:4.

Problem 54212

The bakery uses 1.75 cups of flour per batch. If they used 5.25 cups, how many batches did they make? How many cookies are in total if each batch has 5 dozen?

Problem 54213

Complete the sequence 1,1,2,3,5,8,…1,1,2,3,5,8, \ldots1,1,2,3,5,8,… by finding the next four numbers and describe the pattern.

Problem 54214

Is the statement "An outlier is any number above Q3Q_{3}Q3​ or below Q1Q_{1}Q1​" true or false? If false, rewrite it correctly.

Problem 54215

Solve for kkk in the equation 2y+k=6y−ky2y + k = 6y - ky2y+k=6y−ky.

Problem 54216

Badr ordered 5,675 pounds of flour in 25-pound bags. How many bags will he receive? Calculate: 567525\frac{5675}{25}255675​.

Problem 54217

How many complete bags of seeds with 20 packets each can be made from 40 Aster, 95 Daisy, 160 Pansy, 125 Sunflower, and 70 Wildflower?

Problem 54218

Simone gets \$15 per mile. To raise \$510, how many miles must she bike?

Problem 54219

Analyze unemployment rates for 15-24 year-olds in 28 regions. Find Q1, median, Q3, and discuss the 10th percentile's value.

Problem 54220

An angle's supplement is three times the angle. Find the angle and its supplement. Let the angle be xxx. Then, the supplement is 180−x=3x180 - x = 3x180−x=3x.

Problem 54221

Round 7526.442 to the nearest hundredth.

Problem 54222

Analyze youth unemployment rates in 28 regions: find Q1, median (Q2), Q3, and discuss the 10th percentile value.

Problem 54223

Find the median, Q1, Q3 of youth unemployment rates. Is the 10th percentile closer to 6 or 16? Explain.

Problem 54224

Type the decimal form of three and two tenths.

Problem 54225

Find xxx if the distances are 3x+23x + 23x+2, 3x+43x + 43x+4, and 9x−39x - 39x−3. Then, calculate the distance from Madison to Jamie.

Problem 54226

Find the median, Q1, Q3 of youth unemployment rates. Is the 10th percentile closer to 6 or 16? Explain.

Problem 54227

Find the real solutions for x4+9x3+12x2−11x+21=0x^{4}+9 x^{3}+12 x^{2}-11 x+21=0x4+9x3+12x2−11x+21=0. Is the solution set empty or does it contain values?

Problem 54228

Problem 54229

Express sin⁡(β+20∘)\sin \left(\beta+20^{\circ}\right)sin(β+20∘) using its cofunction for acute angles.

Problem 54230

If a snack has 6 grams of fat, find the grams of protein using 4p+6f=604p + 6f = 604p+6f=60.

Problem 54231

Solve for α\alphaα in the equation cos⁡α=sin⁡(α+30∘)\cos \alpha=\sin \left(\alpha+30^{\circ}\right)cosα=sin(α+30∘), with acute angles only.

Problem 54232

What is the length of the side of a square mat with an area of 81 square feet?

Problem 54233

Solve for acute angle β\betaβ in the equation: sec⁡(3β+37∘)=csc⁡(β+9∘)\sec(3\beta + 37^{\circ}) = \csc(\beta + 9^{\circ})sec(3β+37∘)=csc(β+9∘).

Problem 54234

Create a net for a triangle and a pyramid shape.

Problem 54235

Find the real solutions for the equation x4+12x3+10x2−9x+22=0x^{4}+12 x^{3}+10 x^{2}-9 x+22=0x4+12x3+10x2−9x+22=0. What is the solution set?

Problem 54236

Find the missing value of aaa if MMM is the midpoint of FG‾\overline{F G}FG with FG=14a+1F G=14 a+1FG=14a+1 and FM=4.5F M=4.5FM=4.5.

Problem 54237

Find the real solutions of the equation 5x3−3x2−35x+21=05 x^{3}-3 x^{2}-35 x+21=05x3−3x2−35x+21=0. Choose A or B for the solution set.

Problem 54238

For 57 female athletes, xˉ=72.4\bar{x}=72.4xˉ=72.4 and s=13.6s=13.6s=13.6. Use the empirical rule to find the interval for 68%68\%68% of data.

Problem 54239

Analyze youth unemployment rates in 28 regions. Find Q2, Q1, Q3, and determine if the 10th percentile is closer to 6 or 16.

Problem 54240

Data from 57 female athletes shows xˉ=72.4\bar{x}=72.4xˉ=72.4 and s=13.6s=13.6s=13.6. Use the empirical rule to find intervals for 68% and 95%.

Problem 54241

Find the height of a triangle with area $A = 35$ in² and base $b = 7$ in using $A = \frac{1}{2} b h$ .

Find the units digit of $3^{40}$ . Options: (A) 1 (B) 3 (C) 6 (D) 7 (E) 9

Find the next four numbers in the pattern $1, 4, 9, 16, 25, \ldots$ and describe the pattern.

Determine if 5 grams of protein and 2 grams of fat satisfy $4p + 9f = 60$ .

What scale factor increases a rectangle (area $6 \mathrm{~cm}^{2}$ ) to an area of $96 \mathrm{~cm}^{2}$ ?

Find the coordinates of a station between Rolesville $R(1,2)$ and Townsend $T(8,23)$ with a distance ratio of $3:4$ .

Complete the sequence $1,1,2,3,5,8, \ldots$ by finding the next four numbers and describe the pattern.

Is the statement "An outlier is any number above $Q_{3}$ or below $Q_{1}$ " true or false? If false, rewrite it correctly.

Solve for $k$ in the equation $2y + k = 6y - ky$ .

Badr ordered 5,675 pounds of flour in 25-pound bags. How many bags will he receive? Calculate: $\frac{5675}{25}$ .

An angle's supplement is three times the angle. Find the angle and its supplement. Let the angle be $x$ . Then, the supplement is $180 - x = 3x$ .

Find $x$ if the distances are $3x + 2$ , $3x + 4$ , and $9x - 3$ . Then, calculate the distance from Madison to Jamie.

Find the real solutions for $x^{4}+9 x^{3}+12 x^{2}-11 x+21=0$ . Is the solution set empty or does it contain values?

Express $\sin \left(\beta+20^{\circ}\right)$ using its cofunction for acute angles.

If a snack has 6 grams of fat, find the grams of protein using $4p + 6f = 60$ .

Solve for $\alpha$ in the equation $\cos \alpha=\sin \left(\alpha+30^{\circ}\right)$ , with acute angles only.

Solve for acute angle $\beta$ in the equation: $\sec(3\beta + 37^{\circ}) = \csc(\beta + 9^{\circ})$ .

Find the real solutions for the equation $x^{4}+12 x^{3}+10 x^{2}-9 x+22=0$ . What is the solution set?

Find the missing value of $a$ if $M$ is the midpoint of $\overline{F G}$ with $F G=14 a+1$ and $F M=4.5$ .

Find the real solutions of the equation $5 x^{3}-3 x^{2}-35 x+21=0$ . Choose A or B for the solution set.

For 57 female athletes, $\bar{x}=72.4$ and $s=13.6$ . Use the empirical rule to find the interval for $68\%$ of data.

Data from 57 female athletes shows $\bar{x}=72.4$ and $s=13.6$ . Use the empirical rule to find intervals for 68% and 95%.

Find an acute angle solution for the equation: $\sec(2\beta + 28^\circ) = \csc(3\beta + 7^\circ)$

Cora bought 4 pounds of nuts and 2 pounds of raisins for \$23.50. Mark bought 2 pounds of nuts and 4 pounds of raisins for \$18.50.
a. Find equations for the prices of nuts, $n$ , and raisins, $r$ . b. Solve for $n$ and $r$ and find their total cost together.

Jake's T.V. series has 3 seasons: 1 with 8 episodes and 2 with 12 episodes. Find the total episodes: $8 + 12 \times 2$ .

For 57 female athletes, $\bar{x}=72.4$ and $s=13.6$ . Use the empirical rule to find intervals for 68%, 95%, and nearly all data.

Belinda has 19 feet of rubber edging for a round garden. Find the area of the garden. Use $C = 2\pi r$ to solve.

Find the missing measure where $M$ is the midpoint of $\overline{F G}$ : $F M=2 k-5$ , $F G=18$ , k=\longdiv{T}.

Bryce rides $\frac{1}{3}$ mile in $\frac{1}{57}$ hour. Find his speed in miles per hour.

Which graph shows the inverse of the function $f(x) = x + 4$ ?

Jason eats 10 ounces of candy in 5 days.
a) How many pounds does he eat daily? (16 ounces = 1 pound) b) How long to eat 1 pound of candy?

Jake's T.V. series has 3 seasons: 1 with 8 episodes and 2 with 12 episodes each. Find the total episodes, $C_{total}$ .

Determine the line equation through $(0,1)$ at a $60^{\circ}$ angle to $y=1$ .

Simplify the expression: $9(2 x)$ .

What is the decimal form of "six hundredths" as a number? Answer: $0.06$ .

Simplify the expression: $\frac{22 x y}{3 x}$ .

List the negative multiples of 6 in the set $\{x \mid x \text{ is a negative multiple of 6}\}$ .

Convert "one and three tenths" to decimal format. What is the value of $1.3$ ?

Identify the property illustrated by each statement: 1. $75+6=6+75$ 2. $\frac{7}{9} \cdot 1=\frac{7}{9}$ .

List the elements of the set of positive integer powers of 3: $\{3^n | n \in \mathbb{Z}^+\}$ .

Find the domain of the function $R(x)=\frac{13 x}{x+17}$ . Is it A: $x \neq -17$ or B: all real numbers?

Simplify the expression: $\frac{56 a b}{b}$ .

Find the domain of the function $H(x)=\frac{-3 x^{2}}{(x-1)(x+1)}$ . What values of $x$ are excluded?

Find the angle between the line $y=\sqrt{3} \cdot x+1$ and the positive side of the line $y=1$ .