Math

Problem 48301

Multiply 645 by 836. What is the result?

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Problem 48302

A house blueprint has a scale of 1 inch = 5 feet. If the family room is 4/4 inches long, what is its actual length?

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Problem 48303

The family room's length on a blueprint is $4/4$ inches. How long is it in feet using the scale of 1 inch $=5$ feet?

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Problem 48304

Calculate the total number of leaves that have fallen by the end of the $18^{\text{th}}$ day if they quadruple daily, starting from 1.

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Problem 48305

Model the city's population growth from 2020 ( $1,596,000$ with a $3.5\%$ annual increase) using the function $f(x)$ .

See Solution

Problem 48306

Find the slope-intercept form of the line through (1,3) and (0,-3).

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Problem 48307

What was the initial population of a California town modeled by $f(x)=16,612(1.024)^{x}$ on January 1, 2013?

See Solution

Problem 48308

Find the balance on a credit card after 9 months using $f(x)=500(1+0.13)^{x}$ . Round to the nearest cent.

See Solution

Problem 48309

The Wills Tower is 1454 feet tall. If a model has a scale of 2 in $=45$ feet, how tall is the model?

See Solution

Problem 48310

A child is 20 inches long at birth. Use the function $f(x)=20+47 \log (x+2)$ to find when she reaches $60\%$ of her height.

See Solution

Problem 48311

Calculate the pH of a solution with $\left[\mathrm{H}^{+}\right]=2.9 \times 10^{-8}$ . Round to the nearest hundredth.

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Problem 48312

A psychologist models recall as $f(t)=92-22 \ln (t+1)$ for $1 \leq t \leq 12$ . What is $f(3)$ rounded to the nearest percent?

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Problem 48313

What is the actual height of a library that is 12 inches tall in a drawing with a scale of 1/3 inch = 1 foot?

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Problem 48314

Convert the fraction $\frac{8}{9}$ into its decimal form.

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Problem 48315

Find the pH of apple juice with a hydrogen ion concentration of $[\mathrm{H}^+]=0.00015$ . Round to the nearest hundredth.

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Problem 48316

Find the limit: $\lim _{x \rightarrow 2} \frac{2 f(x) g(x)}{3 f(x)-g(x)}$ given that $\lim _{x \rightarrow 2} f(x)=4, \quad \lim _{x \rightarrow 2} g(x)=-1.$

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Problem 48317

What is $0.021$ divided by $7$ ?

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Problem 48318

Milk's price rises by $2\%$ yearly. If it’s \$2.75 in 2017, what will it cost in 2020?

See Solution

Problem 48319

Find the frequency of note F# which is 3 half steps below A3 (220 Hz) using $F(x)=F_{0}(1.059463)^{x}$ . Round to the nearest whole number.

See Solution

Problem 48320

Solve the inequality: $r+10 \leq -3(2r-3) + 6(r+3)$ .

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Problem 48321

Divide $6.12$ by $6$ to find the result in unit form: $6.12 \div 6=$ ones $\div 6+$ hundredths $\div 6$ .

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Problem 48322

Find the intensity $I$ of an earthquake with a magnitude of 4.7 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

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Problem 48323

To make 464 liters of Petrolyn oil with a ratio of 5 liters natural to 3 liters synthetic, how much synthetic oil is needed?

See Solution

Problem 48324

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.

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Problem 48325

The equation for "3 less than the product of 4 and 5" is: $4 \times 5 - 3$ .

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Problem 48326

A company's net income was \ $200,000 in 2020 and grows by 10% yearly. When will it reach \$1,000,000? Use$ f(x)=200,000(1+0.1)^{x}$.

See Solution

Problem 48327

Is $15 + 15 + 15 = 15 \times 3$ true? Simplify to check: $45 = 15 \times 3$ .

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Problem 48328

What is $18 \div 2$ ?

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Problem 48329

A child is 20 inches long at birth. Find the percentage of adult height at age 3 using $f(x)=20+47 \log (x+2)$ .

See Solution

Problem 48330

What is $1.8 \div 2$ ?

See Solution

Problem 48331

Find the earthquake magnitude using $R=\log \left(\frac{I}{1}\right)$ for $I=4 \times 10^{4}$ . Round to the nearest hundredth.

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Problem 48332

Clarify the operations with 17.64, 9.3, and .38. Is it $17.64 - 9.3 = .38$ ?

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Problem 48333

Find $x$ given $S U=60$ and the equation $(x-24)+(2x+20)=60$ . Also solve for other segments and angles.

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Problem 48334

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 48335

Calculate 17.64 - 9.38.

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Problem 48336

A pool has 15,600 gallons and loses $5\%$ of water daily. How much will remain in 11 days? Round to the nearest whole number.

See Solution

Problem 48337

Calculate: $645 \div 43$

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Problem 48338

Find the balance after 12 months using the exponential function $f(x)=500(1+0.096)^{x}$ . Round to the nearest cent.

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Problem 48339

If the credit card balance grows exponentially as $f(x)=800(1+0.122)^{x}$ , what is the balance after 39 months? Round to the nearest cent.

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Problem 48340

Luis cooks for 20+ people, with vegetarian meals at \$3 and meat meals at \$4.50. Budget is \$100, with at least 6 of each. Write the inequalities.

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Problem 48341

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.

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Problem 48342

Find total cookbook sales on January 1, 2026, using $f(x)=18,838(1.044)^{x}$ , where $x$ is years since 2013.

See Solution

Problem 48343

A child is 20 inches at birth. Find the percent of adult height at age 15 using $f(x)=20+47 \log (x+2)$ .

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Problem 48344

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

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Problem 48345

Find the operation $\circ$ such that $-.64 \circ ? = 1.29$ . What is $?$

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Problem 48346

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

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Problem 48347

Convert each number to scientific notation. Example: $3,230,000=3.23 \times 10^{6}$ ; Find $211,700,000,000=$ .

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Problem 48348

Find the coordinate of $P$ as the weighted average of points: $W = -7$ (weight 2), $X = -4$ (weight 1), $Y = 0$ (weight 3).

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Problem 48349

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.

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Problem 48350

Let $x$ be hours worked in housecleaning and $y$ in sales. Write the inequalities: $x + y \leq 41$ and $5x + 8y \geq 254$ .

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Problem 48351

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

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Problem 48352

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 $14 p$ ?

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Problem 48353

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).

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Problem 48354

Find coordinates of $P$ as the weighted average of $U(-8,-5)$ and $X(2,0)$ , with $U$ weighing twice as much as $X$ .

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Problem 48355

Convert the following numbers to scientific notation: 9. $3,230,000=3.23 \times 10^{6}$ , 10. $0.0000085=$

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Problem 48356

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

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Problem 48357

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 48358

Convert these numbers to scientific notation:
9. $3,230,000=$
10. $0.0000085=$
11. $211,700,000,000=2.117 \times 10^{11}$
12. $0,0000000972=$

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Problem 48359

At 10:00 a.m. (t=0), bacteria grow as follows: 30, 90, 270, 810. Find a function $f(t)$ to model this growth.

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Problem 48360

Pilar buys pizzas at \$9 each and cookies at \$5 per pound, with a max budget of \$50. She needs at least 3 pizzas and 2 pounds of cookies. Find the inequalities and graph them.

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Problem 48361

Convert 1 pound to ounces using the conversion: 1 pound $(\mathrm{lb}) = 16$ ounces $(\mathrm{oz})$ .

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Problem 48362

Calculate the mean from the frequency distribution and compare it to the actual mean of 52.6 mph. Frequencies: 22, 12, 7, 4, 2.

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Problem 48363

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 48364

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 48365

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) $\left(\frac{1}{6}\right)x$

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Problem 48366

Convert 1 liter to milliliters using the fact that 1 liter $(\mathrm{L})=1000$ milliliters $(\mathrm{mL})$ .

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Problem 48367

Convert 2 grams to milligrams using the conversion $1 \text{ gram} = 1000 \text{ milligrams}$ .

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Problem 48368

Convert 3 yards to centimeters using the given conversion factors. Round to the nearest whole number.

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Problem 48369

Calculate $3 \times 7$ .

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Problem 48370

Calculate the mean of the frequency distribution for speeds: 42-45 (22), 46-49 (12), 50-53 (7), 54-57 (4), 58-61 (2).

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Problem 48371

Convert 2 cm to feet using the given conversion factors. Round to the nearest hundredth.

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Problem 48372

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

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Problem 48373

Calculate the sum of $0.8090 + 0.522 + 0.123$ and report it with the correct significant figures.

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Problem 48374

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.

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Problem 48375

Find the difference in average speed (mph) between Roger, who ran 13.2 miles in 1.6 hours, and Ana, who ran 10.85 miles in 1.4 hours.

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Problem 48376

Solve the inequality: $18\left(q-\frac{3}{4}\right) \leq -2\left(q+\frac{7}{4}\right)$ .

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Problem 48377

Convert 8 weeks to minutes using: 1 week = 7 days, 1 day = 24 hours, 1 hour = 60 minutes, 1 minute = 60 seconds.

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Problem 48378

A garden is 6 2/3 ft long and 2 2/3 ft wide. Each brick is 2/3 ft long. How many bricks does Juan need for the border?

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Problem 48379

Calculate the sum: $9.725 \times 10^{3} + 3.58 \times 10^{2} + 6.1$ and round to the correct significant figures.

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Problem 48380

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

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Problem 48381

Find the density in pounds per cubic foot for a material weighing 6900 grams per 4.5 quarts. Round to the nearest whole number.

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Problem 48382

Find the product of 5.271 and 11.24, applying significant figures: $5.271 \times 11.24 =$

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Problem 48383

Calculate $4.554 \times 2.23 / 10.812$ and use the correct significant figures.

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Problem 48384

Margot has $21 \frac{1}{2}$ lbs flour, 8 lbs butter, and $18 \frac{1}{2}$ lbs sugar. For 12 batches, how much per batch?

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Problem 48385

Simplify $(800+444 y) / 4$ and choose the correct equivalent expression from the options provided.

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Problem 48386

Convert a flow rate of 7 liters per 9.5 hours to pints per week. Round to the nearest whole number.

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Problem 48387

Convert a material's density of 430 kg/ft³ to g/cup, rounding to the nearest whole number using given conversion factors.

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Problem 48388

Simplify $5(19-8y)$ and find its equivalent expression from the options: (A) $95-35y$ , (B) $95+40y$ , $85-40y$ , $95-40y$ .

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Problem 48389

Calculate $14.5 \times 8.208$ and round to the correct number of significant figures.

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Problem 48390

Find the set $A \cup (B \cap C)$ given $A=\{1,2,3,4\}$ , $B=\{3,5,6\}$ , $C=\{1,2,3,4,5\}$ .

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Problem 48391

Calculate $0.505 / 0.2$ and round your answer to the correct number of significant figures.

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Problem 48392

A number divided by 40 gives a quotient of 6 and a remainder of 15. Find the number.

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Problem 48393

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

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Problem 48394

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?

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Problem 48395

Simplify $3(26 p - 7 + 14 h)$ and find the equivalent expression from the options given.

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Problem 48396

How many different car choices can you make with 3 body styles, 3 colors, and 6 models?

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Problem 48397

Kim made $1 \frac{1}{4}$ quarts of smoothie, drank $\frac{1}{5}$ of it, and her brothers had $\frac{1}{3}$ quart each. How many brothers?

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Problem 48398

Find $z$ in the equation $-z + 7 = 6$ . What is the value of $z$ ?

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Problem 48399

Survey 116 students on news sources: 41 use websites, 55 social media, 8 both. Create a Venn diagram and find cardinalities.

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Problem 48400

Find $b$ in the equation: $43 - \frac{b}{3} = 59$ .

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1 484 396

Math

Problem 48301

Multiply 645 by 836. What is the result?

Problem 48302

A house blueprint has a scale of 1 inch = 5 feet. If the family room is 4/4 inches long, what is its actual length?

Problem 48303

The family room's length on a blueprint is 4/44/44/4 inches. How long is it in feet using the scale of 1 inch =5=5=5 feet?

Problem 48304

Calculate the total number of leaves that have fallen by the end of the 18th18^{\text{th}}18th day if they quadruple daily, starting from 1.

Problem 48305

Model the city's population growth from 2020 (1,596,0001,596,0001,596,000 with a 3.5%3.5\%3.5% annual increase) using the function f(x)f(x)f(x).

Problem 48306

Find the slope-intercept form of the line through (1,3) and (0,-3).

Problem 48307

What was the initial population of a California town modeled by f(x)=16,612(1.024)xf(x)=16,612(1.024)^{x}f(x)=16,612(1.024)x on January 1, 2013?

Problem 48308

Find the balance on a credit card after 9 months using f(x)=500(1+0.13)xf(x)=500(1+0.13)^{x}f(x)=500(1+0.13)x. Round to the nearest cent.

Problem 48309

The Wills Tower is 1454 feet tall. If a model has a scale of 2 in =45=45=45 feet, how tall is the model?

Problem 48310

A child is 20 inches long at birth. Use the function f(x)=20+47log⁡(x+2)f(x)=20+47 \log (x+2)f(x)=20+47log(x+2) to find when she reaches 60%60\%60% of her height.

Problem 48311

Calculate the pH of a solution with [H+]=2.9×10−8\left[\mathrm{H}^{+}\right]=2.9 \times 10^{-8}[H+]=2.9×10−8. Round to the nearest hundredth.

Problem 48312

A psychologist models recall as f(t)=92−22ln⁡(t+1)f(t)=92-22 \ln (t+1)f(t)=92−22ln(t+1) for 1≤t≤121 \leq t \leq 121≤t≤12. What is f(3)f(3)f(3) rounded to the nearest percent?

Problem 48313

What is the actual height of a library that is 12 inches tall in a drawing with a scale of 1/3 inch = 1 foot?

Problem 48314

Convert the fraction 89\frac{8}{9}98​ into its decimal form.

Problem 48315

Find the pH of apple juice with a hydrogen ion concentration of [H+]=0.00015[\mathrm{H}^+]=0.00015[H+]=0.00015. Round to the nearest hundredth.

Problem 48316

Find the limit: lim⁡x→22f(x)g(x)3f(x)−g(x)\lim _{x \rightarrow 2} \frac{2 f(x) g(x)}{3 f(x)-g(x)}x→2lim​3f(x)−g(x)2f(x)g(x)​ given that lim⁡x→2f(x)=4,lim⁡x→2g(x)=−1.\lim _{x \rightarrow 2} f(x)=4, \quad \lim _{x \rightarrow 2} g(x)=-1.x→2lim​f(x)=4,x→2lim​g(x)=−1.

Problem 48317

What is 0.0210.0210.021 divided by 777?

Problem 48318

Milk's price rises by 2%2\%2% yearly. If it’s \$2.75 in 2017, what will it cost in 2020?

Problem 48319

Find the frequency of note F# which is 3 half steps below A3 (220 Hz) using F(x)=F0(1.059463)xF(x)=F_{0}(1.059463)^{x}F(x)=F0​(1.059463)x. Round to the nearest whole number.

Problem 48320

Solve the inequality: r+10≤−3(2r−3)+6(r+3)r+10 \leq -3(2r-3) + 6(r+3)r+10≤−3(2r−3)+6(r+3).

Problem 48321

Divide 6.126.126.12 by 666 to find the result in unit form: 6.12÷6=6.12 \div 6=6.12÷6= ones ÷6+\div 6+÷6+ hundredths ÷6\div 6÷6.

Problem 48322

Find the intensity III of an earthquake with a magnitude of 4.7 using R=log⁡(I1)R=\log \left(\frac{I}{1}\right)R=log(1I​). Round to the nearest whole number.

Problem 48323

To make 464 liters of Petrolyn oil with a ratio of 5 liters natural to 3 liters synthetic, how much synthetic oil is needed?

Problem 48324

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.

Problem 48325

The equation for "3 less than the product of 4 and 5" is: 4×5−34 \times 5 - 34×5−3.

Problem 48326

A company's net income was \200,000in2020andgrowsby10200,000 in 2020 and grows by 10% yearly. When will it reach \$1,000,000? Use 200,000in2020andgrowsby10f(x)=200,000(1+0.1)^{x}$.

Problem 48327

Is 15+15+15=15×315 + 15 + 15 = 15 \times 315+15+15=15×3 true? Simplify to check: 45=15×345 = 15 \times 345=15×3.

Problem 48328

What is 18÷218 \div 218÷2?

Problem 48329

A child is 20 inches long at birth. Find the percentage of adult height at age 3 using f(x)=20+47log⁡(x+2)f(x)=20+47 \log (x+2)f(x)=20+47log(x+2).

Problem 48330

What is 1.8÷21.8 \div 21.8÷2?

Problem 48331

Find the earthquake magnitude using R=log⁡(I1)R=\log \left(\frac{I}{1}\right)R=log(1I​) for I=4×104I=4 \times 10^{4}I=4×104. Round to the nearest hundredth.

Problem 48332

Clarify the operations with 17.64, 9.3, and .38. Is it 17.64−9.3=.3817.64 - 9.3 = .3817.64−9.3=.38?

Problem 48333

Find xxx given SU=60S U=60SU=60 and the equation (x−24)+(2x+20)=60(x-24)+(2x+20)=60(x−24)+(2x+20)=60. Also solve for other segments and angles.

Problem 48334

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).

Problem 48335

Calculate 17.64 - 9.38.

Problem 48336

A pool has 15,600 gallons and loses 5%5\%5% of water daily. How much will remain in 11 days? Round to the nearest whole number.

Problem 48337

Calculate: 645÷43645 \div 43645÷43

Problem 48338

Find the balance after 12 months using the exponential function f(x)=500(1+0.096)xf(x)=500(1+0.096)^{x}f(x)=500(1+0.096)x. Round to the nearest cent.

Problem 48339

If the credit card balance grows exponentially as f(x)=800(1+0.122)xf(x)=800(1+0.122)^{x}f(x)=800(1+0.122)x, what is the balance after 39 months? Round to the nearest cent.

Problem 48340

The family room's length on a blueprint is $4/4$ inches. How long is it in feet using the scale of 1 inch $=5$ feet?

Calculate the total number of leaves that have fallen by the end of the $18^{\text{th}}$ day if they quadruple daily, starting from 1.

Model the city's population growth from 2020 ( $1,596,000$ with a $3.5\%$ annual increase) using the function $f(x)$ .

What was the initial population of a California town modeled by $f(x)=16,612(1.024)^{x}$ on January 1, 2013?

Find the balance on a credit card after 9 months using $f(x)=500(1+0.13)^{x}$ . Round to the nearest cent.

The Wills Tower is 1454 feet tall. If a model has a scale of 2 in $=45$ feet, how tall is the model?

A child is 20 inches long at birth. Use the function $f(x)=20+47 \log (x+2)$ to find when she reaches $60\%$ of her height.

Calculate the pH of a solution with $\left[\mathrm{H}^{+}\right]=2.9 \times 10^{-8}$ . Round to the nearest hundredth.

A psychologist models recall as $f(t)=92-22 \ln (t+1)$ for $1 \leq t \leq 12$ . What is $f(3)$ rounded to the nearest percent?

Convert the fraction $\frac{8}{9}$ into its decimal form.

Find the pH of apple juice with a hydrogen ion concentration of $[\mathrm{H}^+]=0.00015$ . Round to the nearest hundredth.

Find the limit: $\lim _{x \rightarrow 2} \frac{2 f(x) g(x)}{3 f(x)-g(x)}$ given that $\lim _{x \rightarrow 2} f(x)=4, \quad \lim _{x \rightarrow 2} g(x)=-1.$

What is $0.021$ divided by $7$ ?

Milk's price rises by $2\%$ yearly. If it’s \$2.75 in 2017, what will it cost in 2020?

Find the frequency of note F# which is 3 half steps below A3 (220 Hz) using $F(x)=F_{0}(1.059463)^{x}$ . Round to the nearest whole number.

Solve the inequality: $r+10 \leq -3(2r-3) + 6(r+3)$ .

Divide $6.12$ by $6$ to find the result in unit form: $6.12 \div 6=$ ones $\div 6+$ hundredths $\div 6$ .

Find the intensity $I$ of an earthquake with a magnitude of 4.7 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

The equation for "3 less than the product of 4 and 5" is: $4 \times 5 - 3$ .

A company's net income was \ $200,000 in 2020 and grows by 10% yearly. When will it reach \$1,000,000? Use$ f(x)=200,000(1+0.1)^{x}$.

Is $15 + 15 + 15 = 15 \times 3$ true? Simplify to check: $45 = 15 \times 3$ .

What is $18 \div 2$ ?

A child is 20 inches long at birth. Find the percentage of adult height at age 3 using $f(x)=20+47 \log (x+2)$ .

What is $1.8 \div 2$ ?

Find the earthquake magnitude using $R=\log \left(\frac{I}{1}\right)$ for $I=4 \times 10^{4}$ . Round to the nearest hundredth.

Clarify the operations with 17.64, 9.3, and .38. Is it $17.64 - 9.3 = .38$ ?

Find $x$ given $S U=60$ and the equation $(x-24)+(2x+20)=60$ . Also solve for other segments and angles.

A pool has 15,600 gallons and loses $5\%$ of water daily. How much will remain in 11 days? Round to the nearest whole number.

Calculate: $645 \div 43$

Find the balance after 12 months using the exponential function $f(x)=500(1+0.096)^{x}$ . Round to the nearest cent.

If the credit card balance grows exponentially as $f(x)=800(1+0.122)^{x}$ , what is the balance after 39 months? Round to the nearest cent.

Find total cookbook sales on January 1, 2026, using $f(x)=18,838(1.044)^{x}$ , where $x$ is years since 2013.

A child is 20 inches at birth. Find the percent of adult height at age 15 using $f(x)=20+47 \log (x+2)$ .

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

Find the operation $\circ$ such that $-.64 \circ ? = 1.29$ . What is $?$

Convert each number to scientific notation. Example: $3,230,000=3.23 \times 10^{6}$ ; Find $211,700,000,000=$ .

Find the coordinate of $P$ as the weighted average of points: $W = -7$ (weight 2), $X = -4$ (weight 1), $Y = 0$ (weight 3).

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.

Let $x$ be hours worked in housecleaning and $y$ in sales. Write the inequalities: $x + y \leq 41$ and $5x + 8y \geq 254$ .

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

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 $14 p$ ?

Find coordinates of $P$ as the weighted average of $U(-8,-5)$ and $X(2,0)$ , with $U$ weighing twice as much as $X$ .

Convert the following numbers to scientific notation: 9. $3,230,000=3.23 \times 10^{6}$ , 10. $0.0000085=$

Convert these numbers to scientific notation:
9. $3,230,000=$
10. $0.0000085=$
11. $211,700,000,000=2.117 \times 10^{11}$
12. $0,0000000972=$

At 10:00 a.m. (t=0), bacteria grow as follows: 30, 90, 270, 810. Find a function $f(t)$ to model this growth.

Convert 1 pound to ounces using the conversion: 1 pound $(\mathrm{lb}) = 16$ ounces $(\mathrm{oz})$ .

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

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?

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) $\left(\frac{1}{6}\right)x$

Convert 1 liter to milliliters using the fact that 1 liter $(\mathrm{L})=1000$ milliliters $(\mathrm{mL})$ .

Convert 2 grams to milligrams using the conversion $1 \text{ gram} = 1000 \text{ milligrams}$ .

Calculate $3 \times 7$ .

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

Calculate the sum of $0.8090 + 0.522 + 0.123$ and report it with the correct significant figures.

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.