Word Problems

Problem 5301

Calculate the absolute and relative error for a measurement of $11.49 \mathrm{~kg}$ when the true value is $8.00 \mathrm{~kg}$ .

See Solution

Problem 5302

What two properties make triacylglycerols better energy storage than glycogen? a) anhydrous & more reduced b) anhydrous & less reduced c) hydrated & less reduced d) hydrated & more reduced

See Solution

Problem 5303

Calculate the absolute and relative error for a measurement of $11.1 \mathrm{~m}$ when the true value is $10.0 \mathrm{~m}$ .

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Problem 5304

A copper atom weighs $1.06 \times 10^{-22} \mathrm{~g}$ , and a penny weighs $2.5 \mathrm{~g}$ . Find moles of copper in a penny.

See Solution

Problem 5305

A 9-foot ribbon is cut into two pieces, with one piece being 1 foot longer. Find the lengths of the pieces.

See Solution

Problem 5306

Matt took clothes to the cleaners. He paid for 3 trips: 4 shirts + 1 for \$15.95, 7 shirts + 4 slacks + 2 coats for \$50.87, and 5 shirts + 1 coat for \$21.94. Find the cost of each shirt, slacks, and coat.

See Solution

Problem 5307

A copper atom weighs $1.06 \times 10^{-22} \mathrm{~g}$ ; a penny weighs $2.5 \mathrm{~g}$ . Find the mass of 1 mole of copper and how many moles equal a penny's mass.

See Solution

Problem 5308

Find a linear equation for the line passing through the points $(0.5,-0.75)$ and $(1,-5.75)$ . $y(x)=$

See Solution

Problem 5309

Find the dimension of the product of matrices sized $3 \times 4$ , $4 \times 5$ , and $5 \times 2$ .

See Solution

Problem 5310

A tower is three times the height of a building and is 50 m taller. Find the height of the tower.

See Solution

Problem 5311

Carissa comió arándanos desde el jueves hasta el miércoles, totalizando 161. ¿Cuántos comió el jueves si aumenta 7 cada día?

See Solution

Problem 5312

Which option best defines scalar multiplication of a matrix?
1. Some elements divided, others unchanged
2. Some elements divided, others multiplied
3. Constant divided by matrix elements
4. All elements multiplied by the constant

See Solution

Problem 5313

A basketball team sold tickets for \$10, \$20, and \$30, totaling 3157 tickets and \$59,930. How many \$10 tickets were sold?

See Solution

Problem 5314

An oxygen atom weighs $2.66 \times 10^{-23} \mathrm{~g}$ ; a glass of water weighs $0.050 \mathrm{~kg}$ .
1. Find the mass of 1 mole of oxygen atoms: $\square \mathrm{g}$ .
2. How many moles of oxygen equal the mass of water? $\square$ .

See Solution

Problem 5315

A basketball team sold tickets for \$10, \$20, and \$30. They sold 3157 tickets total, with 166 more \$20 than \$10. Total sales: \$59,930. Find the number of each ticket type sold. How many \$10 tickets were sold? 1104. How many \$20 tickets were sold?

See Solution

Problem 5316

Which of these sorting algorithms is an internal sort: Bubble sort, Merge sort, or Multiway merging?

See Solution

Problem 5317

What are the arrays after two swaps in bubble sort for values: 35, 17, -30, 18, 8, 11, -11?

See Solution

Problem 5318

A business club invested \$72,000 in three parts at different rates. Total interest was \$5640. Find the amounts of each part.

See Solution

Problem 5319

Next week, you charged \$9 per guest with 39 guests on average. Find:
(a) The linear demand equation $q(p)=$ (b) The revenue function $R(p)=$ (c) The cost function $C(p)=-25.5p+488$

See Solution

Problem 5320

Invest \$9,000 in bonds rated AAA (4%), A (5%), and B (8%) for \$470 return. Invest twice as much in AAA as B.

See Solution

Problem 5321

Next week, you charge \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Given costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees $p=$ (two values, rounded to two decimals).

See Solution

Problem 5322

Usa restas repetidas y notación expandida para calcular $288 \div 12$ .

See Solution

Problem 5323

How long, in seconds, until waste from 400 feet hits the ground using $h(t)=-16 t^{2}+400$ ? [?] seconds

See Solution

Problem 5324

Calculate the annual straight-line depreciation $D$ for an item costing \ $15,963 with a life of 13 years:$ D=(1/n)x$.

See Solution

Problem 5325

A hailstone falls from $1,600 \mathrm{ft}$ . Using $h(t)=-16t^{2}+1600$ , find when it hits the ground: $h(t)=0$ . [?] seconds

See Solution

Problem 5326

After two steps of selection sort on the array $\{7.2,3,8,1.5,2.7\}$ , show the sorted and unsorted parts.

See Solution

Problem 5327

Lydia worked hours on Tuesday and Wednesday. If she earns \$18/hour, calculate her total pay for both days.

See Solution

Problem 5328

A basketball team sold tickets for \$10, \$20, and \$30, totaling 3123 tickets and \$58,810 in sales. Find the number of each ticket type sold.

See Solution

Problem 5329

Find the first full year when the percent change in beer shipments reaches $-34\%$ using $y=-4.1x+28.7$ . What does $-34\%$ mean?

See Solution

Problem 5330

A basketball team sold 3123 tickets for \$10, \$20, and \$30. There are 266 more \$20 tickets than \$10. Total sales are \$58,810. Find the number of each ticket sold.

See Solution

Problem 5331

Identify the two conditional statements from: "You live in Olympia if and only if you live in the capital of Washington." Options: A, B, C, D.

See Solution

Problem 5332

A \$37,000 investment was split into three parts with interest rates of 8\%, 6\%, and 9\%. Total interest is \$3030. The first part's interest is 6 times the second's. Find the amounts of each part.

See Solution

Problem 5333

A hockey team played 12 games: won 2 more than lost, lost 1 more than tied. Find wins, losses, and ties.

See Solution

Problem 5334

Find the probability of selecting one Democrat and one Republican from a group of 4 Democrats, 4 Republicans, and 3 Independents.

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Problem 5335

RideEm Bicycles can make 170 bikes for \$10,300 and 190 bikes for \$10,900.
(a) Find the cost function $C(x)=$ . (b) What are the fixed costs in dollars? (c) What are the variable costs in dollars?

See Solution

Problem 5336

Predict the next three numbers in the pattern: $16, 4, 1, \frac{1}{4}, \frac{1}{16}, \square, \square, \square$

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Problem 5337

Sean eats 3 servings of Nutella, each with $200 \mathrm{kcal}$ . How many calories from Fat did he consume? a) 297 b) 197 c) 99 d) 198

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Problem 5338

Calculate total pay for Paul who plates 321 items at \$1.25 each and 154 items at \$0.75 each.

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Problem 5339

Given \$7,500:
(a) Create a linear function for development fee $p$ based on contracts $q$ :
p(q)=
(b) Find total revenue $R$ from $q$ contracts:
R(q)=
(c) Monthly costs: Fixed: \ $150,000, Variable: \$1,500q. Cost function$ C(q)=
(d) Profit function $P(q)=
(e) Find break-even contracts signed: ISeeYou breaks even at contracts.

See Solution

Problem 5340

Charge \ $9 per guest, average 39 guests. Find demand$ q(p) $, revenue$ R(p) $, profit$ P(p)$, and break-even fees.

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Problem 5341

Find the probability of selecting one green and one black marble from a jar of 10 marbles without replacement.

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Problem 5342

Find the vertex of the function $f(x)=-(x+5)^{2}+1$ . Use vertex form $y=a(x-h)^{2}+k$ .

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Problem 5343

Find the vertex of the quadratic function $y=-3(x-5)^{2}+8$ . Use the vertex form $y=a(x-h)^{2}+k$ .

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Problem 5344

What is the probability of drawing two hearts from a deck without replacement? Express as a reduced fraction.

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Problem 5345

A container has 10 marbles: 3 blue, 2 red, 1 orange, and 4 yellow. Find the probability of selecting blue and orange.

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Problem 5346

Find the probability of drawing a jack or a black card from a standard deck. Options: $\frac{7}{13}$ , $\frac{4}{52}$ , $\frac{1}{52}$ , $\frac{1}{2}$ .

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Problem 5347

Find the probability of drawing a 7 or a queen from a standard deck of cards: $P = \frac{2}{13}, \frac{5}{13}, \frac{6}{13}, \frac{1}{13}$ .

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Problem 5348

Find the probability of rolling a sum of 6 or 10 with two dice: $\frac{4}{9}$ , $\frac{1}{3}$ , $\frac{1}{9}$ , $\frac{2}{9}$ .

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Problem 5349

Are selecting a club ( $A$ ) and a spade ( $B$ ) mutually exclusive events? Yes or No?

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Problem 5350

Explain why drawing one card to be a red card or an 8 is not mutually exclusive. Consider the 8 of hearts and diamonds.

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Problem 5351

A quarter falls from a 144 ft building. Use $h(t)=-16 t^{2}+144$ to find when it hits the ground. How many seconds? [?] seconds

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Problem 5352

A pebble falls from a height of $2,304 \mathrm{ft}$ . Find the time $t$ when $h(t) = -16t^{2} + 2304 = 0$ .

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Problem 5353

Find the probability of rolling a 3 or an odd number on a die. Express as a simplified fraction.

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Problem 5354

Find the probability of drawing a 6 or a red card from a deck. Express your answer as a reduced fraction.

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Problem 5355

What is the probability of rolling a die and getting an even or odd number? Options: 0.75, 0.5, $(1$ , 1, $\bigcirc 0$

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Problem 5356

When drawing a card, are red cards and 7s dependent, mutually exclusive, independent, or not mutually exclusive?

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Problem 5357

Next week, you charged \$9 per guest with an average of 39 guests.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Given $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees, rounded to two decimal places.

See Solution

Problem 5358

Next week, you charged \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find the revenue function $R(p)=$ . (c) Given costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Find break-even entrance fees, rounding to two decimal places.

See Solution

Problem 5359

List the four steps to solve a linear equation from these options: isolate variable, check solution, collect terms, simplify.

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Problem 5360

Next week, you charge \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees $p=$ .

See Solution

Problem 5361

RideEm Bicycles produces 170 bikes for \ $10,300 and 190 bikes for \$10,900. Find the cost function$ C(x)$ and fixed/variable costs.

See Solution

Problem 5362

Which weak interaction needs the least energy to break: A. hydrogen bonds, B. ionic bonds, C. van der Waals, D. disulfide?

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Problem 5363

Which bond type is a weak chemical bond? a. hydrogen b. atomic c. covalent d. nonpolar covalent

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Problem 5364

Which bond is a weak chemical bond: ionic, hydrogen, covalent, or polar covalent?

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Problem 5365

Identify the type of bond formed by the attraction of opposite charges holding atoms together: a. ionic b. hydrogen c. polar covalent d. nonpolar covalent

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Problem 5366

Find points A, B, and C on $y=\frac{\sqrt{3}}{6} x^{2}$ such that $\angle OPA = \angle OPB = 30^{\circ}$ and $\angle ABC = 60^{\circ}$ .

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Problem 5367

原点Oと点P(-3/2, 0)があり、曲線 $y=\frac{\sqrt{3}}{6} x^{2}$ 上の点A, B, Cを求める問題。 (1) A, B, Cの座標 (2) 円の中心座標 (3) Bの接線の式 (4) Bのみが両方にあることを示せ。

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Problem 5368

Find the first six multiples of 7 by multiplying it by $1, 2, 3, \ldots, 6$ .

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Problem 5369

Determine if the number 1 is prime, composite, or neither.

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Problem 5370

Find the prime factors of 245.

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Problem 5371

Beregn arealet af trekanter med g og h: a) g=3, h=4; b) g=2, h=4; c) g=8, h=4; d) g=10, h=2. Beregn cirkelareal med $\pi=3$ .

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Problem 5372

1. Simplify $s^{2}+9$ .
2. Factor $9x^{2}-4$ .
3. Complete the square for $x^2 + 3x = 18$ .

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Problem 5373

Rita earned a 3% commission on 5 home sales. Calculate her total earnings from sale prices: \$510,000, \$625,000, \$450,000, \$780,000, \$650,000.

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Problem 5374

Mark earns \$1,650/month. New job pays \$9.80/hour + overtime. Find overtime hours to match weekly earnings.

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Problem 5375

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

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Problem 5376

Estimate $8 \times 1$ to show Kim's answer of 76.16 is incorrect. What is the estimated value?

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Problem 5377

Find the least number of decimal places in a factor $x$ if $x \cdot n = 34.44$ and $n$ is a whole number.

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Problem 5378

Find the length of each of the two equal sides in a 5-sided figure with a perimeter of 45.56 m and other sides summing to 24.2 m.

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Problem 5379

Find the number of digits in the product of $2^{101}$ and $5^{99}$ .

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Problem 5380

Leslie's poll may miss certain groups. Which is the best example of undercoverage? A) Some won't answer. B) Using a phonebook excludes unlisted and cell-only adults. C) Some may not participate.

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Problem 5381

Tina, Dawn, and Harry have a total of \$ 175. If Tina has 3 times Dawn's amount and Dawn has 2 times Harry's, find their amounts.

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Problem 5382

Leslie's campaign may miss certain groups. What is the best example of undercoverage? A) Some won't answer. B) Using phonebook excludes unlisted and cell-only users. C) Some may not participate. D) Contacting non-registered voters. E) Inaccurate answers due to question wording.
Choose the best example.

See Solution

Problem 5383

A mobile service provider surveys 5,000 customers about privacy. 350 respond, with $60\%$ concerned. What bias affects results? (A) Undercoverage (B) Voluntary response (C) Convenience sample (D) Response bias

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Problem 5384

A principal polled 50 students about phone use in class. Only $10\%$ admitted to using phones, but $25\%$ were observed. What's the main bias? (A) Undercoverage (B) Voluntary response (C) Convenience sample (D) Response bias (E) Nonresponse bias

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Problem 5385

Valerie's team of 30 rated her as "outstanding" at $83\%$ . Why might this result be biased? Choose 1 answer: A, B, C, or D.

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Problem 5386

A city polls residents on a sugary beverage tax. $70\%$ oppose it. Why might this result be biased? Choose 1 answer: A, B, C, or D.

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Problem 5387

A 10-foot board is cut into 3 pieces. One piece is 1 foot longer than the shortest and 2 feet shorter than the longest. Find the lengths.

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Problem 5388

Analyze the function $f(x)=x^{2}+8x$ : find if it opens up/down, vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts.

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Problem 5389

Find the largest 5-digit number Noe Noe could think of, given Toe Toe's guesses: 20489 (2 correct) and 15673 (3 correct).

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Problem 5390

Graph the quadratic function $f(x)=x^{2}+8x$ : find vertex, axis of symmetry, $y$ -intercept, and $x$ -intercepts. Does it open up or down?

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Problem 5391

What is the largest 5-digit number Noe Noe could think of if Toe Toe's guesses 20489 and 15673 reveal 2 and 3 correct digits, respectively?

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Problem 5392

Find the distance between -3 and 2 on the number line: $|-3 - 2|$ . Options: -5, -1, 1, 5.

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Problem 5393

Which of these products is negative?
1. $\left(-\frac{3}{8}\right)\left(-\frac{5}{7}\right)\left(\frac{1}{4}\right)$
2. $\left(\frac{3}{8}\right)\left(-\frac{5}{7}\right)\left(-\frac{1}{4}\right)$
3. $\left(\frac{3}{8}\right)\left(\frac{5}{7}\right)\left(\frac{1}{4}\right)$
4. $\left(-\frac{3}{8}\right)\left(-\frac{5}{7}\right)\left(-\frac{1}{4}\right)$

See Solution

Problem 5394

Which expression equals $63.56 + (-81.47)$ ? Options: $63.56 - 81.47$ , $63.56 + 81.47$ , $-63.56 - 81.47$ , $-63.56 + 81.47$ .

See Solution

Problem 5395

What is the probability that the sum of four randomly chosen numbers from $\{1,2,3,\ldots,10\}$ is odd?

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Problem 5396

Miss Ma's income rises by 6% from \$420000. Calculate the percentage change in her salaries tax payable with fixed allowances.

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Problem 5397

Find the 2014 annual rates for a flat with a 2.5% yearly increase, starting from \$5200 per quarter in 2008.

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Problem 5398

Calculate the area of a ring with inner radius 18m and outer radius 22m. Use the formula for area: $A = \pi(R^2 - r^2)$ .

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Problem 5399

Terri has $\frac{1}{4}$ of her father's and $\frac{1}{7}$ of her grandfather's Canadian stamps. Together they have 120 stamps. How many does each have?

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Problem 5400

Miss Lee's tax is \$4500. Find her net chargeable income using the tax rates: 2\% for \$40000, 7\% for next \$40000, 12\% for next \$40000, and 17\% for the rest. Round to the nearest dollar.

See Solution

1 ...51 52 53 54 55 56 57 ...101

Word Problems

Problem 5301

Calculate the absolute and relative error for a measurement of 11.49 kg11.49 \mathrm{~kg}11.49 kg when the true value is 8.00 kg8.00 \mathrm{~kg}8.00 kg.

Problem 5302

What two properties make triacylglycerols better energy storage than glycogen? a) anhydrous & more reduced b) anhydrous & less reduced c) hydrated & less reduced d) hydrated & more reduced

Problem 5303

Calculate the absolute and relative error for a measurement of 11.1 m11.1 \mathrm{~m}11.1 m when the true value is 10.0 m10.0 \mathrm{~m}10.0 m.

Problem 5304

A copper atom weighs 1.06×10−22 g1.06 \times 10^{-22} \mathrm{~g}1.06×10−22 g, and a penny weighs 2.5 g2.5 \mathrm{~g}2.5 g. Find moles of copper in a penny.

Problem 5305

A 9-foot ribbon is cut into two pieces, with one piece being 1 foot longer. Find the lengths of the pieces.

Problem 5306

Matt took clothes to the cleaners. He paid for 3 trips: 4 shirts + 1 for \$15.95, 7 shirts + 4 slacks + 2 coats for \$50.87, and 5 shirts + 1 coat for \$21.94. Find the cost of each shirt, slacks, and coat.

Problem 5307

A copper atom weighs 1.06×10−22 g1.06 \times 10^{-22} \mathrm{~g}1.06×10−22 g; a penny weighs 2.5 g2.5 \mathrm{~g}2.5 g. Find the mass of 1 mole of copper and how many moles equal a penny's mass.

Problem 5308

Find a linear equation for the line passing through the points (0.5,−0.75)(0.5,-0.75)(0.5,−0.75) and (1,−5.75)(1,-5.75)(1,−5.75). y(x)=y(x)= y(x)=

Problem 5309

Find the dimension of the product of matrices sized 3×43 \times 43×4, 4×54 \times 54×5, and 5×25 \times 25×2.

Problem 5310

A tower is three times the height of a building and is 50 m taller. Find the height of the tower.

Problem 5311

Carissa comió arándanos desde el jueves hasta el miércoles, totalizando 161. ¿Cuántos comió el jueves si aumenta 7 cada día?

Problem 5312

Which option best defines scalar multiplication of a matrix? 1. Some elements divided, others unchanged 2. Some elements divided, others multiplied 3. Constant divided by matrix elements 4. All elements multiplied by the constant

Problem 5313

A basketball team sold tickets for \$10, \$20, and \$30, totaling 3157 tickets and \$59,930. How many \$10 tickets were sold?

Problem 5314

An oxygen atom weighs 2.66×10−23 g2.66 \times 10^{-23} \mathrm{~g}2.66×10−23 g; a glass of water weighs 0.050 kg0.050 \mathrm{~kg}0.050 kg. 1. Find the mass of 1 mole of oxygen atoms: □g\square \mathrm{g}□g.2. How many moles of oxygen equal the mass of water? □\square□.

Problem 5315

A basketball team sold tickets for \$10, \$20, and \$30. They sold 3157 tickets total, with 166 more \$20 than \$10. Total sales: \$59,930. Find the number of each ticket type sold. How many \$10 tickets were sold? 1104. How many \$20 tickets were sold?

Problem 5316

Which of these sorting algorithms is an internal sort: Bubble sort, Merge sort, or Multiway merging?

Problem 5317

What are the arrays after two swaps in bubble sort for values: 35, 17, -30, 18, 8, 11, -11?

Problem 5318

A business club invested \$72,000 in three parts at different rates. Total interest was \$5640. Find the amounts of each part.

Problem 5319

Next week, you charged \$9 per guest with 39 guests on average. Find:(a) The linear demand equation q(p)=q(p)=q(p)= (b) The revenue function R(p)=R(p)=R(p)= (c) The cost function C(p)=−25.5p+488C(p)=-25.5p+488C(p)=−25.5p+488

Problem 5320

Invest \$9,000 in bonds rated AAA (4%), A (5%), and B (8%) for \$470 return. Invest twice as much in AAA as B.

Problem 5321

Problem 5322

Usa restas repetidas y notación expandida para calcular 288÷12288 \div 12288÷12.

Problem 5323

How long, in seconds, until waste from 400 feet hits the ground using h(t)=−16t2+400h(t)=-16 t^{2}+400h(t)=−16t2+400? [?] seconds

Problem 5324

Calculate the annual straight-line depreciation DDD for an item costing \15,963withalifeof13years:15,963 with a life of 13 years: 15,963withalifeof13years:D=(1/n)x$.

Problem 5325

A hailstone falls from 1,600ft1,600 \mathrm{ft}1,600ft. Using h(t)=−16t2+1600h(t)=-16t^{2}+1600h(t)=−16t2+1600, find when it hits the ground: h(t)=0h(t)=0h(t)=0. [?] seconds

Problem 5326

After two steps of selection sort on the array {7.2,3,8,1.5,2.7}\{7.2,3,8,1.5,2.7\}{7.2,3,8,1.5,2.7}, show the sorted and unsorted parts.

Problem 5327

Lydia worked hours on Tuesday and Wednesday. If she earns \$18/hour, calculate her total pay for both days.

Problem 5328

A basketball team sold tickets for \$10, \$20, and \$30, totaling 3123 tickets and \$58,810 in sales. Find the number of each ticket type sold.

Problem 5329

Find the first full year when the percent change in beer shipments reaches −34%-34\%−34% using y=−4.1x+28.7y=-4.1x+28.7y=−4.1x+28.7. What does −34%-34\%−34% mean?

Problem 5330

A basketball team sold 3123 tickets for \$10, \$20, and \$30. There are 266 more \$20 tickets than \$10. Total sales are \$58,810. Find the number of each ticket sold.

Problem 5331

Identify the two conditional statements from: "You live in Olympia if and only if you live in the capital of Washington." Options: A, B, C, D.

Problem 5332

A \$37,000 investment was split into three parts with interest rates of 8\%, 6\%, and 9\%. Total interest is \$3030. The first part's interest is 6 times the second's. Find the amounts of each part.

Problem 5333

A hockey team played 12 games: won 2 more than lost, lost 1 more than tied. Find wins, losses, and ties.

Problem 5334

Find the probability of selecting one Democrat and one Republican from a group of 4 Democrats, 4 Republicans, and 3 Independents.

Problem 5335

RideEm Bicycles can make 170 bikes for \$10,300 and 190 bikes for \$10,900. (a) Find the cost function C(x)=C(x)=C(x)=. (b) What are the fixed costs in dollars? (c) What are the variable costs in dollars?

Problem 5336

Predict the next three numbers in the pattern: 16,4,1,14,116,□,□,□16, 4, 1, \frac{1}{4}, \frac{1}{16}, \square, \square, \square16,4,1,41​,161​,□,□,□

Problem 5337

Sean eats 3 servings of Nutella, each with 200kcal200 \mathrm{kcal}200kcal. How many calories from Fat did he consume? a) 297 b) 197 c) 99 d) 198

Problem 5338

Calculate total pay for Paul who plates 321 items at \$1.25 each and 154 items at \$0.75 each.

Problem 5339

Problem 5340

Charge \9perguest,average39guests.Finddemand9 per guest, average 39 guests. Find demand 9perguest,average39guests.Finddemandq(p),revenue, revenue ,revenueR(p),profit, profit ,profitP(p)$, and break-even fees.

Problem 5341

Calculate the absolute and relative error for a measurement of $11.49 \mathrm{~kg}$ when the true value is $8.00 \mathrm{~kg}$ .

Calculate the absolute and relative error for a measurement of $11.1 \mathrm{~m}$ when the true value is $10.0 \mathrm{~m}$ .

A copper atom weighs $1.06 \times 10^{-22} \mathrm{~g}$ , and a penny weighs $2.5 \mathrm{~g}$ . Find moles of copper in a penny.

A copper atom weighs $1.06 \times 10^{-22} \mathrm{~g}$ ; a penny weighs $2.5 \mathrm{~g}$ . Find the mass of 1 mole of copper and how many moles equal a penny's mass.

Find a linear equation for the line passing through the points $(0.5,-0.75)$ and $(1,-5.75)$ . $y(x)=$

Find the dimension of the product of matrices sized $3 \times 4$ , $4 \times 5$ , and $5 \times 2$ .

Which option best defines scalar multiplication of a matrix?
1. Some elements divided, others unchanged
2. Some elements divided, others multiplied
3. Constant divided by matrix elements
4. All elements multiplied by the constant

An oxygen atom weighs $2.66 \times 10^{-23} \mathrm{~g}$ ; a glass of water weighs $0.050 \mathrm{~kg}$ .
1. Find the mass of 1 mole of oxygen atoms: $\square \mathrm{g}$ .
2. How many moles of oxygen equal the mass of water? $\square$ .

Next week, you charged \$9 per guest with 39 guests on average. Find:
(a) The linear demand equation $q(p)=$ (b) The revenue function $R(p)=$ (c) The cost function $C(p)=-25.5p+488$

Usa restas repetidas y notación expandida para calcular $288 \div 12$ .

How long, in seconds, until waste from 400 feet hits the ground using $h(t)=-16 t^{2}+400$ ? [?] seconds

Calculate the annual straight-line depreciation $D$ for an item costing \ $15,963 with a life of 13 years:$ D=(1/n)x$.

A hailstone falls from $1,600 \mathrm{ft}$ . Using $h(t)=-16t^{2}+1600$ , find when it hits the ground: $h(t)=0$ . [?] seconds

After two steps of selection sort on the array $\{7.2,3,8,1.5,2.7\}$ , show the sorted and unsorted parts.

Find the first full year when the percent change in beer shipments reaches $-34\%$ using $y=-4.1x+28.7$ . What does $-34\%$ mean?

RideEm Bicycles can make 170 bikes for \$10,300 and 190 bikes for \$10,900.
(a) Find the cost function $C(x)=$ . (b) What are the fixed costs in dollars? (c) What are the variable costs in dollars?

Predict the next three numbers in the pattern: $16, 4, 1, \frac{1}{4}, \frac{1}{16}, \square, \square, \square$

Sean eats 3 servings of Nutella, each with $200 \mathrm{kcal}$ . How many calories from Fat did he consume? a) 297 b) 197 c) 99 d) 198

Charge \ $9 per guest, average 39 guests. Find demand$ q(p) $, revenue$ R(p) $, profit$ P(p)$, and break-even fees.

Find the vertex of the function $f(x)=-(x+5)^{2}+1$ . Use vertex form $y=a(x-h)^{2}+k$ .

Find the vertex of the quadratic function $y=-3(x-5)^{2}+8$ . Use the vertex form $y=a(x-h)^{2}+k$ .

Find the probability of drawing a jack or a black card from a standard deck. Options: $\frac{7}{13}$ , $\frac{4}{52}$ , $\frac{1}{52}$ , $\frac{1}{2}$ .

Find the probability of drawing a 7 or a queen from a standard deck of cards: $P = \frac{2}{13}, \frac{5}{13}, \frac{6}{13}, \frac{1}{13}$ .

Find the probability of rolling a sum of 6 or 10 with two dice: $\frac{4}{9}$ , $\frac{1}{3}$ , $\frac{1}{9}$ , $\frac{2}{9}$ .

Are selecting a club ( $A$ ) and a spade ( $B$ ) mutually exclusive events? Yes or No?

A quarter falls from a 144 ft building. Use $h(t)=-16 t^{2}+144$ to find when it hits the ground. How many seconds? [?] seconds

A pebble falls from a height of $2,304 \mathrm{ft}$ . Find the time $t$ when $h(t) = -16t^{2} + 2304 = 0$ .

What is the probability of rolling a die and getting an even or odd number? Options: 0.75, 0.5, $(1$ , 1, $\bigcirc 0$

Next week, you charge \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees $p=$ .

RideEm Bicycles produces 170 bikes for \ $10,300 and 190 bikes for \$10,900. Find the cost function$ C(x)$ and fixed/variable costs.

Find points A, B, and C on $y=\frac{\sqrt{3}}{6} x^{2}$ such that $\angle OPA = \angle OPB = 30^{\circ}$ and $\angle ABC = 60^{\circ}$ .

原点Oと点P(-3/2, 0)があり、曲線 $y=\frac{\sqrt{3}}{6} x^{2}$ 上の点A, B, Cを求める問題。 (1) A, B, Cの座標 (2) 円の中心座標 (3) Bの接線の式 (4) Bのみが両方にあることを示せ。

Find the first six multiples of 7 by multiplying it by $1, 2, 3, \ldots, 6$ .

Beregn arealet af trekanter med g og h: a) g=3, h=4; b) g=2, h=4; c) g=8, h=4; d) g=10, h=2. Beregn cirkelareal med $\pi=3$ .

1. Simplify $s^{2}+9$ .
2. Factor $9x^{2}-4$ .
3. Complete the square for $x^2 + 3x = 18$ .