Word Problems

Problem 5201

Find the lengths of the sides of an isosceles triangle with a perimeter of 182 feet and the shortest side 40 feet shorter.

See Solution

Problem 5202

How many total votes were cast if Rahm Emanuel received 218,217 votes, which is $45.63\%$ of the total?

See Solution

Problem 5203

Calculate the value of $9-2 \cdot 4 \div (-3 - (-1))^{3}$ .

See Solution

Problem 5204

Solve the inequality: $-7(x-5)>3x-5$ . Provide the solution set in interval notation and graph form.

See Solution

Problem 5205

Find the value of $\frac{7 \div(q)^{2} \cdot 2}{2 p} \cdot \frac{-p+6 q-r}{-q}$ for $p=4$ , $q=\frac{1}{2}$ , $r=2$ .

See Solution

Problem 5206

A politician's support rises from $37\%$ to $58\%$ . Find the absolute and relative change, rounded to the nearest tenth of a percent.

See Solution

Problem 5207

Solve the compound inequality: $x-3 \leq 6$ and $x+1 \geq 5$ . Provide the solution in interval and graph forms.

See Solution

Problem 5208

A car's value fell from \$26,200 to \$24,400. Find the absolute and relative change. Round to the nearest dollar and tenth of a percent.

See Solution

Problem 5209

Calculate the increase in carbon dioxide from 325 ppm in 1959 to 373 ppm in 2005, and find the percent increase: $\%$ .

See Solution

Problem 5210

Find a number $x$ such that $\frac{1}{4}x + 10 \geq 3$ . What is the solution set in interval notation?

See Solution

Problem 5211

Calculate the percent change for these cases: 30 to 25 (decrease), 25 to 30 (increase), \$3.12 to \$3 (decrease), \$3 to \$3.12 (increase).

See Solution

Problem 5212

A scientist measures $891 \mathrm{kg}$ ; true value is $700 \mathrm{kg}$ . Find absolute and relative error.

See Solution

Problem 5213

Ian's diet is 30% Fat and 50% Carbs from 3,000 kcal. How many kcal is he eating in Fats? a) 700 kcal b) 800 kcal c) 900 kcal d) 1,000 kcal

See Solution

Problem 5214

Find the length of $\overline{F G}$ if $G$ is the midpoint of $\overline{F H}$ and you know the length of $\overline{F H}$ .

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Problem 5215

A scientist measures $1151 \mathrm{cm}^{3}$ ; true value is $1000 \mathrm{cm}^{3}$ . Find absolute and relative error.

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Problem 5216

Create an equation for this: 19 minus $\frac{5}{3}$ of a number equals 4. Solve for $x$ . Options: A. $19-\frac{5}{3} x=4$ B. $\frac{5}{3}-19 x=4$ C. $19-\frac{5}{3}=4$ D. $5 \frac{5}{3} x-19=4$ . Find $x$ .

See Solution

Problem 5217

Electricity cost in February was \$93.6, up 50\% from January. Find total cost for both months. What is it?

See Solution

Problem 5218

Ian's diet has $30\%$ Fat and $50\%$ Carbs in a total of $3,000 \mathrm{kcal}$ . How many grams of fat is he eating? a) 100 g b) 150 g c) 200 g d) 250 g

See Solution

Problem 5219

A scientist measures $66.8 \mathrm{~m}$ ; true value is $100.0 \mathrm{~m}$ . Find absolute and relative error.
absolute error: relative error:

See Solution

Problem 5220

Find angles A and B where $A + B = 90^{\circ}$ and $A = 2B + 24^{\circ}$ . What are the measures of A and B?

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Problem 5221

A meal has 75g Carbs, 20g Protein, and 605 total calories. Find grams of Fat. Options: a) 15 b) 25 c) 35 d) 40.

See Solution

Problem 5222

List states bordering Kansas using set notation or state if there are none. Choose from the options provided.

See Solution

Problem 5223

Write the set of every third number from 6 to 26, starting with 6, or state if it’s empty. A. $\{\square\}$ B. No members.

See Solution

Problem 5224

A scientist measures $7.09 \mathrm{~g} \cdot \mathrm{m}^{-3}$ ; true value is $6.00 \mathrm{~g} \cdot \mathrm{m}^{-3}$ . Find absolute and relative error.

See Solution

Problem 5225

A scientist measures $744 \mathrm{m}$ ; true value is $500 \mathrm{m}$ . Find absolute and relative error.

See Solution

Problem 5226

Find the range of side lengths $s$ for a square with perimeter $P$ such that $102 < P < 138$ . Express in interval notation.

See Solution

Problem 5227

Classify 7.9 as a member of the following sets: natural, integer, rational, or real. Select all that apply.

See Solution

Problem 5228

Calculate the discount amount for an item priced at \$4300 with a 9\% discount.

See Solution

Problem 5229

Calculate the final price after a \$105.75 discount on an original price of \$4700.

See Solution

Problem 5230

Do the columns of $A$ span $\mathbb{R}^{4}$ ? Does $A \mathbf{x}=\mathbf{b}$ have a solution for all $\mathbf{b}$ ?
$A=\begin{bmatrix} 1 & 3 & 5 & -9 \\ 2 & 0 & -8 & 6 \\ 3 & 4 & 0 & -7 \\ -2 & -7 & -13 & 18 \end{bmatrix}$

See Solution

Problem 5231

Classify these numbers: $\frac{2}{1}, -\frac{8}{9}, \sqrt{2}, 0.\overline{25}, \pi$ . Which are natural numbers? A. $\frac{2}{1}$ B. $0.\overline{25}$ C. $\sqrt{2}$ D. $\pi$ E. $-\frac{8}{9}$ F. None.

See Solution

Problem 5232

Find the discount on an item with a face value of \ $4300 and a discount rate of 9\%. Calculate using$ 4300 \times 0.09$.

See Solution

Problem 5233

Write a compound inequality for: A quantity $x$ is less than 8 or greater than 21.

See Solution

Problem 5234

Identify the whole numbers from this list: A. $\pi$ , B. $\frac{2}{1}$ , C. $0 . \overline{25}$ , D. $\sqrt{2}$ , E. $-\frac{8}{9}$ , F. None.

See Solution

Problem 5235

Identify the integers from this list: A. $\sqrt{2}$ , B. $0 . \overline{25}$ , C. $\pi$ , D. $\frac{2}{1}$ , E. $-\frac{8}{9}$ , F. None.

See Solution

Problem 5236

Identify the rational numbers from this list: A. $-\frac{8}{9}$ , B. $\sqrt{2}$ , C. $0 . \overline{25}$ , D. $\pi$ , E. $\frac{2}{1}$ , F. None.

See Solution

Problem 5237

Convert the following numbers to scientific notation: A) -0.0087 B) 206.8

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Problem 5238

Determina la velocidad de una moneda en caída libre tras $2.0 \mathrm{~s}$ desde reposo en la Torre Colpatria.

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Problem 5239

A scientist measures $71.1 \mathrm{~m}$ ; the true value is $50.0 \mathrm{~m}$ . Find absolute and relative errors.

See Solution

Problem 5240

Explain the relationship between the graphs of $g(x) = x^{2} + 1$ and $f(x) = x^{2}$ .

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Problem 5241

What is the contraposition of "If it is hot, then we turn on the AC"? Options: A) If AC is on, not hot B) If AC off, not hot C) If AC off, cold D) No contraposition

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Problem 5242

List the sample space for choosing 2 marbles at random from a bag with green, red, and blue marbles.

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Problem 5243

What is true about the contrapositive of $\mathrm{p} \rightarrow q$ ? Options include its truth value and negation of $p$ and $q$ .

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Problem 5244

Find all three-digit numbers where the first digit is 4 less than the second and the third digit is 2 more than the first.

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Problem 5245

What is true about the converse and inverse of a conditional statement? Options include: opposite truth values, always true, equivalent to contrapositive, or logically equivalent.

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Problem 5246

Calcula la velocidad de una moneda caída desde la Torre Colpatria después de 1.0 s, comenzando desde el reposo.

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Problem 5247

Martha has 17 CDs (5 rock, 3 blues, 6 pop, 3 R&B). What’s the probability of picking a blues CD? Simplify your answer.

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Problem 5248

What must be true for the probability of a randomly selected person having blood type A to be $P(A)=\frac{1}{4}$ ? Is this true?

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Problem 5249

Find $m \angle XYW$ and $m \angle WYZ$ if they are complementary to $m \angle XYZ=117^{\circ}$ .

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Problem 5250

Find the measures of angles $XYW$ and $WYZ$ if $m \angle XYZ = 117^{\circ}$ and they are supplementary.

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Problem 5251

1. List the months of the birthdays: {January, April, May}.
2. List multiples of 3 from 0 to 21: {0, 3, 6, 9, 12, 15, 18, 21}.
3. Represent quantities in interval notation.
4. Kelly can work hours in the interval [60, 120].

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Problem 5252

Find the Venn diagram region for the letter $c$ given sets $A$ , $B$ , and $C$ . Region 7 is the intersection of all three.

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Problem 5253

Identify the difference between the converse and contraposition of a conditional statement.

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Problem 5254

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find height $h(100)$ using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ .

See Solution

Problem 5255

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find $h(400)$ using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ . Round to two decimal places.

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Problem 5256

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find height $h$ after 250 ft using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ .

See Solution

Problem 5257

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find the distance $x$ it travels using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ .

See Solution

Problem 5258

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find $h(400)$ using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ .

See Solution

Problem 5259

Find the density of an object with a volume of $17 \mathrm{~mL}$ and a mass of $212 \mathrm{~g}$ .

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Problem 5260

How many cards in a standard 52-card deck are red or have no numbers, using $26$ red cards and $2$ jokers?

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Problem 5261

How many cards in a standard 52-card deck are red or have no numbers?

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Problem 5262

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Height is given by $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ . Find distance and max height.

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Problem 5263

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find the distance to max height using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ .

See Solution

Problem 5264

Graph the functions $f(x)=\sqrt{x}$ and $g(x)$ for given $x$ values. Describe the relationship between $f$ and $g$ .

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Problem 5265

In a survey of 130 freshmen, how many took only music if: 31 took history, 34 took science, 35 took music, 10 took science and music, 14 took history and music, and 5 took all three?

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Problem 5266

An airplane flies 3000 miles at 550 mph. Cost per passenger is $C(x)=150+\frac{x}{25}+\frac{32,000}{x}$ . Find $C(550)$ .

See Solution

Problem 5267

An airplane flies 3000 miles at 550 mph. Cost per passenger is $C(x)=150+\frac{x}{25}+\frac{32,000}{x}$ . Find cost with 50 mph headwind.

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Problem 5268

An airplane crosses 3000 miles at 550 mph. Find cost per passenger $C(x)$ with a 100 mph headwind. Round to nearest cent.

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Problem 5269

An airplane crosses the Atlantic Ocean (3000 miles) at 560 mph. Cost per passenger with a 100 mph tailwind is given by
$\theta(x)=150+\frac{x}{20}+\frac{32,000}{x}$
What is the cost per passenger? Round to the nearest cent.

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Problem 5270

Bert made 3 batches of sauce using 24 ounces total, reducing hot sauce by 2 ounces per batch. Find $u$ : usual amount per batch.
Which equation to use? $3(u-2)=24$ $3 u-2=24$ $2 u-3=24$ $2(u-3)=24$
What is $u$ ? Answer in ounces.

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Problem 5271

Gas density at constant pressure (14.5 psi) varies with temperature. Find domain, range, mapping, and ordered pairs for temps $0, 21, 50, 70, 110^{\circ} \mathrm{C}$ and densities $1.552, 1.281, 1.202, 1.101, 1.039 \mathrm{kg/m}^{3}$ .

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Problem 5272

Which statements about the bi-conditional proposition $p \leftrightarrow q$ are true?

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Problem 5273

Ms. Garza ordered 9 cases of caramel apples, sold 685, and had 35 left. What equation finds apples per case? $9c - 685 = 35$

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Problem 5274

Rhianna buys 6 chairs for \ $455 after a \$55 discount. Find the equation for the regular cost,$ c$, of each chair.

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Problem 5275

Graph the functions $f(x)=\sqrt{x}$ and $g(x)$ for given $x$ values. Describe the relation between their graphs.

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Problem 5276

The Logan family rents a beach house for 9 days, paying \ $920 after a \$25 discount. Find the daily charge$ d$:
$9d - 25 = 920$

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Problem 5277

A scientist measures $71.1 \mathrm{~m}$ ; true value is $50.0 \mathrm{~m}$ . Find absolute and relative error.

See Solution

Problem 5278

Find values of $p$ and $q$ for the false bi-conditional $p \leftrightarrow q$ . Options: True/False pairs.

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Problem 5279

Find the total mass of a material with density $2 \mathrm{~g} / \mathrm{cm}^{3}$ and volume $24 \mathrm{~cm}^{3}$ . Include units!

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Problem 5280

Find the volume of a wood block with a density of $0.6 \mathrm{~g} / \mathrm{cm}^{3}$ and mass of $120 \mathrm{~g}$ . $200 \mathrm{~cm}^{3}$ $200.0 \mathrm{ml}$ $0.005 \mathrm{~cm}^{3}$

See Solution

Problem 5281

A scientist measures $22.4 \mathrm{~m}$ ; true value is $20.0 \mathrm{~m}$ . Find absolute and relative errors.

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Problem 5282

A scientist measures $3.93 \mathrm{~g} \cdot \mathrm{m}^{-3}$ while the true value is $7.00 \mathrm{~g} \cdot \mathrm{m}^{-3}$ . Find the absolute and relative error.

See Solution

Problem 5283

A scientist measures $81.1 \mathrm{~cm}^{3}$ ; true value is $60.0 \mathrm{~cm}^{3}$ . Find absolute and relative error.

See Solution

Problem 5284

Find the formula for the sequence $a_{n}=\{3,6,9,12, \ldots\}$ . Options: $a_{n}=3 n$ , $a_{3}=3_{a}$ , $a_{n}=9 n$ , $a_{n}=6_{n}$ .

See Solution

Problem 5285

Calculate the absolute and relative error for a measurement of $581 \mathrm{g} \cdot \mathrm{m}^{-3}$ vs. true value $500 \mathrm{g} \cdot \mathrm{m}^{-3}$ .

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Problem 5286

Calculate the absolute and relative error for a measurement of $5.22 \mathrm{~m}$ when the true value is $9.00 \mathrm{~m}$ .

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Problem 5287

Find the $12^{\text{th}}$ term of the sequence $a_{n} = 3^{n} + 3n$ . Options: 1,296, 72, 1,764, 531,477.

See Solution

Problem 5288

Find the formula for the sequence $\{-8,-6,-4,-2, \ldots\}$ . Options: $a_{n}=2n-10$ , $a_{n}=-8n+2$ , $a_{n}=n+2$ , $a_{n}=n-2$ .

See Solution

Problem 5289

Find the equation of a line parallel to the one with slope $1/2$ that passes through $(0,-3)$ .

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Problem 5290

Find a linear equation for the line through $(1,4)$ with slope 6.

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Problem 5291

Find the general formula for the sequence $\{-1/2, 0, 1/2, 1, \ldots\}$ . Options: $a_n=(-1/2)n+1$ , $a_n=n+1/2$ , $a_n=(1/2)n-1$ , $a_n=n-1/2$ .

See Solution

Problem 5292

Find the linear equation of the line through the points $(1,-6)$ and $(-1,-1)$ . $y(x) =$

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Problem 5293

Find the area of a scale drawing of a parallelogram where the scale is $10 \mathrm{~cm}$ for every $8 \mathrm{~m}$ on the sculpture. Base: $4.2 \mathrm{~m}$ , heights: $5 \mathrm{~m}$ and $6 \mathrm{~m}$ .

See Solution

Problem 5294

Find the absolute and relative error for a measurement of $146 \mathrm{cm}^3$ when the true value is $100 \mathrm{cm}^3$ .

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Problem 5295

A scientist measures $561 \mathrm{g/m}^3$ ; the true value is $400 \mathrm{g/m}^3$ . Find absolute and relative error.

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Problem 5296

A printing service has a set-up fee of \ $11.00 and charges \$0.15 per copy. Find the cost for 40 copies using$ C=11.00+0.15x$.

See Solution

Problem 5297

A scientist measures $536 \, \mathrm{g} \, \mathrm{m}^{-3}$ ; true value is $1000 \, \mathrm{g} \, \mathrm{m}^{-3}$ . Find absolute and relative error.

See Solution

Problem 5298

Raina's phone card has $C=45.00-0.06x$ . How much credit is left after 15 minutes of calls?

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Problem 5299

Convert the following values to decimals: 35 thousandths, 9.235, 805 thousandths, $\frac{8}{1000}$ , $\frac{28}{1000}$ , $7 \frac{528}{1000}$ , $300 \frac{502}{1000}$ . Also, express 0.008, 15.062, 607.409 in words and show 27.346 in expanded notation.

See Solution

Problem 5300

Find the first four terms of the sequence defined by $a_{n}=3n+3^{n}$ .

See Solution

1 ...50 51 52 53 54 55 56 ...101

Word Problems

Problem 5201

Find the lengths of the sides of an isosceles triangle with a perimeter of 182 feet and the shortest side 40 feet shorter.

Problem 5202

How many total votes were cast if Rahm Emanuel received 218,217 votes, which is 45.63%45.63\%45.63% of the total?

Problem 5203

Calculate the value of 9−2⋅4÷(−3−(−1))39-2 \cdot 4 \div (-3 - (-1))^{3}9−2⋅4÷(−3−(−1))3.

Problem 5204

Solve the inequality: −7(x−5)>3x−5-7(x-5)>3x-5−7(x−5)>3x−5. Provide the solution set in interval notation and graph form.

Problem 5205

Find the value of 7÷(q)2⋅22p⋅−p+6q−r−q\frac{7 \div(q)^{2} \cdot 2}{2 p} \cdot \frac{-p+6 q-r}{-q}2p7÷(q)2⋅2​⋅−q−p+6q−r​ for p=4p=4p=4, q=12q=\frac{1}{2}q=21​, r=2r=2r=2.

Problem 5206

A politician's support rises from 37%37\%37% to 58%58\%58%. Find the absolute and relative change, rounded to the nearest tenth of a percent.

Problem 5207

Solve the compound inequality: x−3≤6x-3 \leq 6x−3≤6 and x+1≥5x+1 \geq 5x+1≥5. Provide the solution in interval and graph forms.

Problem 5208

A car's value fell from \$26,200 to \$24,400. Find the absolute and relative change. Round to the nearest dollar and tenth of a percent.

Problem 5209

Calculate the increase in carbon dioxide from 325 ppm in 1959 to 373 ppm in 2005, and find the percent increase: %\%%.

Problem 5210

Find a number xxx such that 14x+10≥3\frac{1}{4}x + 10 \geq 341​x+10≥3. What is the solution set in interval notation?

Problem 5211

Calculate the percent change for these cases: 30 to 25 (decrease), 25 to 30 (increase), \$3.12 to \$3 (decrease), \$3 to \$3.12 (increase).

Problem 5212

A scientist measures 891kg891 \mathrm{kg}891kg; true value is 700kg700 \mathrm{kg}700kg. Find absolute and relative error.

Problem 5213

Ian's diet is 30% Fat and 50% Carbs from 3,000 kcal. How many kcal is he eating in Fats? a) 700 kcal b) 800 kcal c) 900 kcal d) 1,000 kcal

Problem 5214

Find the length of FG‾\overline{F G}FG if GGG is the midpoint of FH‾\overline{F H}FH and you know the length of FH‾\overline{F H}FH.

Problem 5215

A scientist measures 1151cm31151 \mathrm{cm}^{3}1151cm3; true value is 1000cm31000 \mathrm{cm}^{3}1000cm3. Find absolute and relative error.

Problem 5216

Create an equation for this: 19 minus 53\frac{5}{3}35​ of a number equals 4. Solve for xxx. Options: A. 19−53x=419-\frac{5}{3} x=419−35​x=4 B. 53−19x=4\frac{5}{3}-19 x=435​−19x=4 C. 19−53=419-\frac{5}{3}=419−35​=4 D. 553x−19=45 \frac{5}{3} x-19=4535​x−19=4. Find xxx.

Problem 5217

Electricity cost in February was \$93.6, up 50\% from January. Find total cost for both months. What is it?

Problem 5218

Ian's diet has 30%30\%30% Fat and 50%50\%50% Carbs in a total of 3,000kcal3,000 \mathrm{kcal}3,000kcal. How many grams of fat is he eating? a) 100 g b) 150 g c) 200 g d) 250 g

Problem 5219

A scientist measures 66.8 m66.8 \mathrm{~m}66.8 m; true value is 100.0 m100.0 \mathrm{~m}100.0 m. Find absolute and relative error. absolute error: relative error:

Problem 5220

Find angles A and B where A+B=90∘A + B = 90^{\circ}A+B=90∘ and A=2B+24∘A = 2B + 24^{\circ}A=2B+24∘. What are the measures of A and B?

Problem 5221

A meal has 75g Carbs, 20g Protein, and 605 total calories. Find grams of Fat. Options: a) 15 b) 25 c) 35 d) 40.

Problem 5222

List states bordering Kansas using set notation or state if there are none. Choose from the options provided.

Problem 5223

Write the set of every third number from 6 to 26, starting with 6, or state if it’s empty. A. {□}\{\square\}{□} B. No members.

Problem 5224

A scientist measures 7.09 g⋅m−37.09 \mathrm{~g} \cdot \mathrm{m}^{-3}7.09 g⋅m−3; true value is 6.00 g⋅m−36.00 \mathrm{~g} \cdot \mathrm{m}^{-3}6.00 g⋅m−3. Find absolute and relative error.

Problem 5225

A scientist measures 744m744 \mathrm{m}744m; true value is 500m500 \mathrm{m}500m. Find absolute and relative error.

Problem 5226

Find the range of side lengths sss for a square with perimeter PPP such that 102<P<138102 < P < 138102<P<138. Express in interval notation.

Problem 5227

Classify 7.9 as a member of the following sets: natural, integer, rational, or real. Select all that apply.

Problem 5228

Calculate the discount amount for an item priced at \$4300 with a 9\% discount.

Problem 5229

Calculate the final price after a \$105.75 discount on an original price of \$4700.

Problem 5230

Problem 5231

Classify these numbers: 21,−89,2,0.25‾,π\frac{2}{1}, -\frac{8}{9}, \sqrt{2}, 0.\overline{25}, \pi12​,−98​,2​,0.25,π. Which are natural numbers? A. 21\frac{2}{1}12​ B. 0.25‾0.\overline{25}0.25 C. 2\sqrt{2}2​ D. π\piπ E. −89-\frac{8}{9}−98​ F. None.

Problem 5232

Find the discount on an item with a face value of \4300andadiscountrateof9%.Calculateusing4300 and a discount rate of 9\%. Calculate using 4300andadiscountrateof9%.Calculateusing4300 \times 0.09$.

Problem 5233

Write a compound inequality for: A quantity xxx is less than 8 or greater than 21.

Problem 5234

Identify the whole numbers from this list: A. π\piπ, B. 21\frac{2}{1}12​, C. 0.25‾0 . \overline{25}0.25, D. 2\sqrt{2}2​, E. −89-\frac{8}{9}−98​, F. None.

Problem 5235

Identify the integers from this list: A. 2\sqrt{2}2​, B. 0.25‾0 . \overline{25}0.25, C. π\piπ, D. 21\frac{2}{1}12​, E. −89-\frac{8}{9}−98​, F. None.

Problem 5236

Identify the rational numbers from this list: A. −89-\frac{8}{9}−98​, B. 2\sqrt{2}2​, C. 0.25‾0 . \overline{25}0.25, D. π\piπ, E. 21\frac{2}{1}12​, F. None.

Problem 5237

Convert the following numbers to scientific notation: A) -0.0087 B) 206.8

Problem 5238

Determina la velocidad de una moneda en caída libre tras 2.0 s2.0 \mathrm{~s}2.0 s desde reposo en la Torre Colpatria.

Problem 5239

A scientist measures 71.1 m71.1 \mathrm{~m}71.1 m; the true value is 50.0 m50.0 \mathrm{~m}50.0 m. Find absolute and relative errors.

Problem 5240

Explain the relationship between the graphs of g(x)=x2+1g(x) = x^{2} + 1g(x)=x2+1 and f(x)=x2f(x) = x^{2}f(x)=x2.

How many total votes were cast if Rahm Emanuel received 218,217 votes, which is $45.63\%$ of the total?

Calculate the value of $9-2 \cdot 4 \div (-3 - (-1))^{3}$ .

Solve the inequality: $-7(x-5)>3x-5$ . Provide the solution set in interval notation and graph form.

Find the value of $\frac{7 \div(q)^{2} \cdot 2}{2 p} \cdot \frac{-p+6 q-r}{-q}$ for $p=4$ , $q=\frac{1}{2}$ , $r=2$ .

A politician's support rises from $37\%$ to $58\%$ . Find the absolute and relative change, rounded to the nearest tenth of a percent.

Solve the compound inequality: $x-3 \leq 6$ and $x+1 \geq 5$ . Provide the solution in interval and graph forms.

Calculate the increase in carbon dioxide from 325 ppm in 1959 to 373 ppm in 2005, and find the percent increase: $\%$ .

Find a number $x$ such that $\frac{1}{4}x + 10 \geq 3$ . What is the solution set in interval notation?

A scientist measures $891 \mathrm{kg}$ ; true value is $700 \mathrm{kg}$ . Find absolute and relative error.

Find the length of $\overline{F G}$ if $G$ is the midpoint of $\overline{F H}$ and you know the length of $\overline{F H}$ .

A scientist measures $1151 \mathrm{cm}^{3}$ ; true value is $1000 \mathrm{cm}^{3}$ . Find absolute and relative error.

Create an equation for this: 19 minus $\frac{5}{3}$ of a number equals 4. Solve for $x$ . Options: A. $19-\frac{5}{3} x=4$ B. $\frac{5}{3}-19 x=4$ C. $19-\frac{5}{3}=4$ D. $5 \frac{5}{3} x-19=4$ . Find $x$ .

Ian's diet has $30\%$ Fat and $50\%$ Carbs in a total of $3,000 \mathrm{kcal}$ . How many grams of fat is he eating? a) 100 g b) 150 g c) 200 g d) 250 g

A scientist measures $66.8 \mathrm{~m}$ ; true value is $100.0 \mathrm{~m}$ . Find absolute and relative error.
absolute error: relative error:

Find angles A and B where $A + B = 90^{\circ}$ and $A = 2B + 24^{\circ}$ . What are the measures of A and B?

Write the set of every third number from 6 to 26, starting with 6, or state if it’s empty. A. $\{\square\}$ B. No members.

A scientist measures $7.09 \mathrm{~g} \cdot \mathrm{m}^{-3}$ ; true value is $6.00 \mathrm{~g} \cdot \mathrm{m}^{-3}$ . Find absolute and relative error.

A scientist measures $744 \mathrm{m}$ ; true value is $500 \mathrm{m}$ . Find absolute and relative error.

Find the range of side lengths $s$ for a square with perimeter $P$ such that $102 < P < 138$ . Express in interval notation.

Classify these numbers: $\frac{2}{1}, -\frac{8}{9}, \sqrt{2}, 0.\overline{25}, \pi$ . Which are natural numbers? A. $\frac{2}{1}$ B. $0.\overline{25}$ C. $\sqrt{2}$ D. $\pi$ E. $-\frac{8}{9}$ F. None.

Find the discount on an item with a face value of \ $4300 and a discount rate of 9\%. Calculate using$ 4300 \times 0.09$.

Write a compound inequality for: A quantity $x$ is less than 8 or greater than 21.

Identify the whole numbers from this list: A. $\pi$ , B. $\frac{2}{1}$ , C. $0 . \overline{25}$ , D. $\sqrt{2}$ , E. $-\frac{8}{9}$ , F. None.

Identify the integers from this list: A. $\sqrt{2}$ , B. $0 . \overline{25}$ , C. $\pi$ , D. $\frac{2}{1}$ , E. $-\frac{8}{9}$ , F. None.

Identify the rational numbers from this list: A. $-\frac{8}{9}$ , B. $\sqrt{2}$ , C. $0 . \overline{25}$ , D. $\pi$ , E. $\frac{2}{1}$ , F. None.

Determina la velocidad de una moneda en caída libre tras $2.0 \mathrm{~s}$ desde reposo en la Torre Colpatria.

A scientist measures $71.1 \mathrm{~m}$ ; the true value is $50.0 \mathrm{~m}$ . Find absolute and relative errors.

Explain the relationship between the graphs of $g(x) = x^{2} + 1$ and $f(x) = x^{2}$ .

What is true about the contrapositive of $\mathrm{p} \rightarrow q$ ? Options include its truth value and negation of $p$ and $q$ .

What must be true for the probability of a randomly selected person having blood type A to be $P(A)=\frac{1}{4}$ ? Is this true?

Find $m \angle XYW$ and $m \angle WYZ$ if they are complementary to $m \angle XYZ=117^{\circ}$ .

Find the measures of angles $XYW$ and $WYZ$ if $m \angle XYZ = 117^{\circ}$ and they are supplementary.

1. List the months of the birthdays: {January, April, May}.
2. List multiples of 3 from 0 to 21: {0, 3, 6, 9, 12, 15, 18, 21}.
3. Represent quantities in interval notation.
4. Kelly can work hours in the interval [60, 120].

Find the Venn diagram region for the letter $c$ given sets $A$ , $B$ , and $C$ . Region 7 is the intersection of all three.

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find height $h(100)$ using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ .

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find $h(400)$ using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ . Round to two decimal places.

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find height $h$ after 250 ft using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ .

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find the distance $x$ it travels using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ .

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find $h(400)$ using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ .

Find the density of an object with a volume of $17 \mathrm{~mL}$ and a mass of $212 \mathrm{~g}$ .

How many cards in a standard 52-card deck are red or have no numbers, using $26$ red cards and $2$ jokers?

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Height is given by $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ . Find distance and max height.

A golf ball is hit at 130 ft/s at $45^{\circ}$ . Find the distance to max height using $h(x)=\frac{-32 x^{2}}{130^{2}}+x$ .

Graph the functions $f(x)=\sqrt{x}$ and $g(x)$ for given $x$ values. Describe the relationship between $f$ and $g$ .

An airplane flies 3000 miles at 550 mph. Cost per passenger is $C(x)=150+\frac{x}{25}+\frac{32,000}{x}$ . Find $C(550)$ .

An airplane flies 3000 miles at 550 mph. Cost per passenger is $C(x)=150+\frac{x}{25}+\frac{32,000}{x}$ . Find cost with 50 mph headwind.

An airplane crosses 3000 miles at 550 mph. Find cost per passenger $C(x)$ with a 100 mph headwind. Round to nearest cent.

An airplane crosses the Atlantic Ocean (3000 miles) at 560 mph. Cost per passenger with a 100 mph tailwind is given by
$\theta(x)=150+\frac{x}{20}+\frac{32,000}{x}$
What is the cost per passenger? Round to the nearest cent.

Which statements about the bi-conditional proposition $p \leftrightarrow q$ are true?

Ms. Garza ordered 9 cases of caramel apples, sold 685, and had 35 left. What equation finds apples per case? $9c - 685 = 35$

Rhianna buys 6 chairs for \ $455 after a \$55 discount. Find the equation for the regular cost,$ c$, of each chair.