Expression

Problem 12301

6. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
A box contains five identical balls numbered 1 to 5 respectively. One ball is chosen at random from the box. Its number is recorded and the ball is replaced in the box.
This process was carried out 75 times in total.
How many times would you expect an even-numbered ball to have been chosen? You must show all your working. 3+2003 + 200

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Problem 12302

4. [-/2 Points] DETAILS MY NOTES TANAPCALCBR10 5.1.014.
Simplify the expressions. (Use only positive exponents in your answers.) (a) (xr/s)s/r\left(x^{r / s}\right)^{s / r} \square (b) (xb/a)a/b\left(x^{-b / a}\right)^{-a / b} \square
Need Help? Read It Watch It Submit Answer

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Problem 12304

Simplify the expression. Assume that the variable is unrestricted and use absolute value symbols when necessary. b24b+4\sqrt{b^2 - 4b + 4}

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Problem 12305

Find the tangent of B\angle B.
1010 14\sqrt{14}
Write your answer in simplified, rationalized form. Do not round.
tan(B)=\tan(B) =

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Problem 12306

Rewrite in simplest terms: 4(6d+9)5(2d10)4(6d + 9) - 5(2d - 10)

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Problem 12307

Which expression is equivalent to 2(t4)+12(t-4)+1 ? 2t92 t-9 2t72 t-7 2t52 t-5 2t32 t-3

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Problem 12308

H3/(G3G4(1+G3G4H2))H_3 / (G_3 * G_4 * (1 + G_3 * G_4 * H_2))

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Problem 12309

Question 7 Convert 4.63 radians into degrees. A 1326.4 degrees B 530.56 degrees C 88.43 degrees D 265.28 degrees

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Problem 12310

(27a12)23=\left(27a^{\frac{1}{2}}\right)^{\frac{2}{3}} =

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Problem 12311

The following financial statement data for the year ending December 31 are for River Company: \begin{tabular}{|l|r|} \hline Sales & $2,455,000\$ 2,455,000 \\ \hline Fixed assets: & \\ \hline Beginning of year & 840,000 \\ \hline End of year & 900,000 \\ \hline \end{tabular}
Determine the fixed asset turnover ratio for the year. a. 2.8 b. 1.4 c. 2.9 d. 2.7

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Problem 12312

(4+i)(25i)(4+i)(2-5 i)

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Problem 12313

Express 55 miles per hour in kilometers per hour. km/hr (Round to the nearest whole number as needed.)

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Problem 12314

32. Write 5(cos146+isin146)5(\cos 146^\circ + i\sin 146^\circ) in standard a+bia + bi form. Round to two decimal places.
A. 2.80+4.15i2.80 + 4.15i B. 4.152.80i-4.15 - 2.80i C. 4.15+2.80i-4.15 + 2.80i D. 1.351.35i-1.35 - 1.35i

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Problem 12315

aybabyarab\frac{a^{y}b - ab^{y}}{a^{r} - ab}

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Problem 12316

SECTION A Instruction: On the computerized answer sheet provided, shade the letter that corresponds with the CORRECT response for each of the following.
1. Of the following which is considered a perishable food item? A. Fresh strawberries B. Powdered eggs C. Frozen Lobster D. Basmati Rice
2. If sales are recorded at $178,528\$ 178,528 and food cost for the day was is $70,626\$ 70,626, what is the food cost percent? A. 37%37 \% B. 38.26%38.26 \% C. 39.56%39.56 \% D. 40.10%40.10 \%
3. What category would the Receiving Clerk record a delivery frozen mutton on the Receiving Clerk Daily Report Sheet? A. Sundries B. Food C. Total D. Stores

The following information relates to questions 4-6. \begin{tabular}{ll} Opening Inventory & $2000\$ 2000 \\ Closing Inventory & $4,000\$ 4,000 \\ Food Purchases & $45,000\$ 45,000 \\ Food Sales & $90,000\$ 90,000 \\ Transfer In & $5,000\$ 5,000 \\ Transfer Outwards & $2000\$ 2000 \end{tabular}
4. What is the cost of food issued? A. $46,000\$ 46,000 B. $47,000\$ 47,000 C. $48,000\$ 48,000 D. $43,000\$ 43,000 18/1218 / 12 The Council of Community Colleges of Jamaica Page 2

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Problem 12317

a) limx2x2x2x25x+6\lim_{x \to 2^-} \frac{|x^2 - x - 2|}{|x^2 - 5x + 6|}

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Problem 12318

TEST CONTINUED 25) sin122\sin^{-1}\frac{\sqrt{2}}{2}
Find the exact value of the expression, if possible. Do not use a calculator. 26) cos1(cos4π3)\cos^{-1}\left(\cos\frac{4\pi}{3}\right)
Use a sketch to find the exact value of the expression. 27) sec(tan133)\sec\left(\tan^{-1}\frac{\sqrt{3}}{3}\right)

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Problem 12319

limx0e3x+e5x+e7x39x\lim _{x \rightarrow 0} \frac{e^{3 x}+e^{5 x}+e^{7 x}-3}{9 x}

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Problem 12320

10. What can be said about a linear data cloud in a scatterplot when the sample correlation coefficient is: r=1r=0.12r=0.92r=0.88\begin{array}{l} r=-1 \\ r=0.12 \\ r=-0.92 \\ r=0.88 \end{array}

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Problem 12321

Fernando has 40 movies at home. Of these movies, 14 are comedy, 6 are documentaries, and 20 are adventure. Spanish is the language of 12\frac{1}{2} of the comedy movies and 14\frac{1}{4} of the adventure movies.
Based on this information, which statement is true?
F The probability of randomly selecting a comedy movie in Spanish is 50%. G The probability of randomly selecting a comedy movie in Spanish is less than the probability of randomly selecting a documentary. H The probability of randomly selecting a movie that is in Spanish is 30%. J The probability of randomly selecting an adventure movie in Spanish is greater than the probability of randomly selecting a comedy movie in Spanish.

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Problem 12322

17. *
2 points Sachant que cotan(π7)=m\operatorname{cotan}\left(\frac{\pi}{7}\right)=m. Trouve tan(9π14)\tan \left(\frac{9 \pi}{14}\right)

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Problem 12323

Factor a3+v3a^3 + v^3 completely.

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Problem 12324

Question Brooklyn is trying to pick out an outfit for the first day of school. She can choose from 6 pairs of pants, 8 t-shirts, 3 sweaters or hoodies, and 5 pairs of shoes. How many different outfits does Brooklyn have to choose from? Answer

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Problem 12325

How many different possible outcomes are there if you spin a spinner labeled Red, Blue, Yellow five times?

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Problem 12326

Radicals
Square root multiplication: Advanced
Simplify. 324×723 \sqrt{24} \times \sqrt{72}

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Problem 12327

14) 6x2x1=()()6x^2 - x - 1 = (\qquad)(\qquad) 16) 4x212x+9=()()4x^2 - 12x + 9 = (\qquad)(\qquad) 18) 9x24=()()9x^2 - 4 = (\qquad)(\qquad) 20) 25x21=()()25x^2 - 1 = (\qquad)(\qquad)

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Problem 12328

Find the product: b(b+6)b(b+6)

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Problem 12329

Question Express in simplest radical form. 85+10208\sqrt{5} + 10\sqrt{20}

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Problem 12330

Increase £59 by 7% Give your answer in pounds (£).

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Problem 12331

Question Express the following fraction in simplest form using only positive exponents 3(b2)32b5\frac{3(b^2)^3}{2b^5} Answer Attempt 1 out of 20

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Problem 12332

9. Convert the decimal degree, 19.3519.35^\circ to DMS

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Problem 12333

What is 3.852 as a percent?
A 0.3852%0.3852 \%
B 3.852%3.852 \%
C 385.2%385.2 \%
D 3,852%3,852 \%

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Problem 12334

9cos(x)1dx\int \frac{9}{\cos (x)-1} d x

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Problem 12335

Your job as a carpenter pays $20/\$ 20 / hour and you worked 40 hours last week. The taxes withheld from your wages were $83\$ 83 federal tax and $19\$ 19 state tax. Your total check is \qquad \$912 \$698 \$810 \$720

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Problem 12336

Consumer Mathematics 0,5 Cynth Computing the total cost and interest for a loan
The Perrys bought a $291,000\$ 291,000 townhome. They made a down payment of $42,000\$ 42,000 and took out a mortgage for the rest. Over the course of 30 years they made monthly payments of $1492.89\$ 1492.89 on their mortgage until it was pald off. (a) What was the total amount they ended up paying for the townhome (including the down payment and monthly payments)? \$ [ (b) How much Interest did they pay on the mortgage? \$ Explanation Check Q2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I Acce:

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Problem 12337

Find the distance between A (4,8)A\ (4, 8) and B (9,3)B\ (-9, 3). Round your answer to two decimal places. units

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Problem 12338

An urn contains 6 green and 8 pink balls. Five balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 5 balls drawn from the urn are green? Round your answer to three decimal places. (If necessary, consult a list of formulas.) \square

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Problem 12339

(3x3+7x2+4x1):(x3)\left(-3 x^{3}+7 x^{2}+4 x-1\right):(x-3)
Cociente Resto

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Problem 12340

2. Factor Completely. x2+2x35x^2 + 2x - 35

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Problem 12341

Efectủa la siguiente división: (x36x25x):(x+2)\left(-x^{3}-6 x^{2}-5 x\right):(x+2)
Cociente Resto

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Problem 12342

6. (6+5i)+(62i)(6+5i)+(6-2i)

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Problem 12343

4. (2+3i)(52i)(2 + 3i) - (5 - 2i) ii 3i3i 5 10 15i15i 10i-10i 9i-9i 6i2-6i^2

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Problem 12344

Use the Power Property of Logarithms to write each logarithm as a product of logarithms. Simplify, if possible. a) log1287=\log _{12} 8^{7}= \square b) log(x7)=\log \left(x^{7}\right)= \square

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Problem 12345

Carmen is riding on a bike course that is 40 miles long. So far, she has ridden 14 miles of the course. What percentage of the course has Carme ridden so far? \square

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Problem 12346

Which coupon will save Logan more money on a fountain originally priced at $543.37\$ 543.37 ?

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Problem 12347

What is the output of the function machine shown below when the input is 5 ?  Input 59×5?\begin{array}{l} \text { Input } \\ 5 \rightarrow-9 \times 5 \rightarrow ? \end{array} Output

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Problem 12348

Expand the logarithm fully using the properties of logs. Express the final answer in terms of logx\log{x}, logy\log{y}, and logz\log{z}.
logyzx53\log{\frac{y}{\sqrt[3]{zx^5}}}

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Problem 12349

By first rounding both numbers to 1 significant figure, estimate the answer to 14×18714 \times 187

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Problem 12350

16. Convert to the indicated base. a) 110121101_{2} To base 5 b) 243 s To base 2

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Problem 12351

1. Teagan had 4 tridesmaids at her wedding. Kristen had twice that many. THow many tridesmaids did Kristen have?
2. One mom took 3 bottles on a trip for her baby to drink. The other mom took 4 times that many. How many bottles did the 2 nd mom pack?
3. The nicest math teacher gave out 3 pages of math homework for the week. The other math teacher gave out 3 times that many pages. How many math pages did the tougher teacher give to the class?
4. Mr. Machad 7 coins in his pocket to use at the vending machines. Mrs. Mac had 7 times that many. How many coins did Mrs. Mac have to use?
5. Jerome had 6 cookies. His dad had 7 times that many. How many cookies did Jerome's dad have?
6. The ice cream shop had 7 dirty ice cream bowls and 63 clean ones. How many times more clean bowls did they have than dirty ones? (c) Teachin

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Problem 12352

Divide using long division. 3x4+3x3+3x5x4\frac{3x^4 + 3x^3 + 3x - 5}{x - 4} Enter the quotient (without the remainder).
Quotient:
Enter the remainder. For example, if the remainder is 10, enter 10. If there is no remainder, enter 0.
Remainder:

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Problem 12353

6. Bebe completed the X-puzzle to the right to factor the trinomial x2+6x+5x^2 + 6x + 5, and writes the factors (x+3)(x+2)(x + 3)(x+2). However, when she checks her work by multiplying (x+3)(x+2)(x+3)(x+2), she finds that they're equal to x2+5x+6x^2 +5x+6 instead of her original trinomial. What did Bebe do wrong?
A. Bebe created the X-puzzle incorrectly. B. Bebe solved the X-puzzle incorrectly. C. Bebe wrote the bubble factors from the X-puzzle incorrectly. D. Bebe checked her factored result incorrectly. Greatest Common Factor

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Problem 12354

Find the value of 52+(62)25^{2}+(6-2)^{2}

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Problem 12355

123×318=1 \frac{2}{3} \times 3 \frac{1}{8}=

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Problem 12356

Divide. Give the exact answer, written as a decimal. 75)99075 \overline{)990} Submit

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Problem 12357

8. Yoko buys a pen for $1.19\$1.19 and 2 paperback books. Each book costs $5.95\$5.95. She gives the clerk a 20-dollar bill and receives $7.91\$7.91 in change. Does she receive the correct amount of change? Justify your answer.

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Problem 12358

4. What is the value of the expression (13)3\left(\frac{1}{3}\right)^{3} ?
A 33\frac{3}{3} C 19\frac{1}{9} B 16\frac{1}{6} D 127\frac{1}{27}

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Problem 12359

b. (10+i)(39i)(-10+i)(3-9 i) c. (34i)(52i)(3-4 i)-(-5-2 i)

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Problem 12360

(3) Solve the problem. Show your work.
Keenan catches a fish that weighs 5.6 pounds. Jesse catches a fish that weighs 3.4 pounds. What is the difference between the weights of the two fish?
Solution \qquad Check your answer. Show your work.

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Problem 12361

11 Jalisa buys candles in bulk to sell in her store. Her cost for each candle is $9\$9. She marks up the candles 85%85\%. How much does Jalisa charge per candle?

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Problem 12362

Paul has(2)bags of Skittles Each bag contains (84) Skittles. If Paul eats (38) Skittles and gives (29) Skittles to each of his two friends, how many Skitiles does Paul have left?

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Problem 12363

7. Kathy runs 3.253.25 miles every Monday, 2.752.75 miles every Wednesday, and 3.53.5 miles every Friday. Last month she ran 5.55.5 miles and 6.256.25 miles on two Saturdays. How many miles did she run last month if there were 44 Mondays, 55 Wednesdays, and 55 Fridays?

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Problem 12364

1.Lisa has 3 cookies that are each a different kind. She is sharing them with a friend, and they both want to try each kind of cookie. Write an expression to show how many cookies each person would get.

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Problem 12365

Cube root of an integer
Find the value of 10003\sqrt[3]{1000}.

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Problem 12366

Use the Binomial Theorem to expand the binomial: (2x1y1)4\left(2 x^{-1}-y^{-1}\right)^{4} Submit Question

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Problem 12367

What is the sum of the rational expressions below? 2x+33x+xx+1\frac{2x+3}{3x} + \frac{x}{x+1}
A. 3x2+2x+44x+1\frac{3x^2+2x+4}{4x+1} B. 3x+34x+1\frac{3x+3}{4x+1} C. 2x2+3x3x2+3x\frac{2x^2+3x}{3x^2+3x} D. 5x2+5x+33x2+3x\frac{5x^2+5x+3}{3x^2+3x}

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Problem 12368

(8a7)÷(4a3)=(8a^7) \div (4a^3) =

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Problem 12369

(15c7)÷(3c9)=c(15c^7) \div (3c^9) = \Box c^{\Box}

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Problem 12370

Factor 15w26w315 w^{2}-6 w^{3}

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Problem 12371

10. Are 9x89x \cdot 8 and 81x81x equivalent expressions? Explain.

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Problem 12372

Find the distance between the pair of points. (3,4) (3,4) and (9,12) (9,12)
The distance between the points is ______ units. (Round to two decimal places as needed.)

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Problem 12373

Find the volume of the rectangular prism.

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Problem 12374

16) Given that 610=604661766^{10}=60466176, what is 610?6^{-10} ?

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Problem 12375

What is the area of the shaded part of the figure if x=14ftx=14 \mathrm{ft} ? Use 3.14 to approximate π\pi.
Area of a quarter circle =14πx2=\frac{1}{4} \pi x^{2} CLEAR CHECK \square ft2\mathrm{ft}^{2}

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Problem 12376

A real estate agent has $587\$587 to spend on newspaper ads. If each ad costs $8\$8, about how many ads will the real estate agent be able to buy? Choose the better estimate. 100 70

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Problem 12377

18. Use Structure Teresa placed parentheses in the expression below so that its value was greater than 80 . Write the expression to show where Teresa might have placed the parentheses. 10.5+9.5×31×2.510.5+9.5 \times 3-1 \times 2.5

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Problem 12378

nplify (3.5)6(3.5)5(3.5)1\frac{(3.5)^{-6}(3.5)^{5}}{(3.5)^{-1}}. Writ

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Problem 12379

Can you represent the number 143 without using hundreds? Explain how. Draw a model. without hundreds, the numbers 143 theres a way to make 143. 100+40+3=143,100100+40+3=143,100 Show the number 451 using base ten blocks. Show the number 502 using base ten blocks.

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Problem 12380

There are 28 flowers in Miss Song's garden. 14\frac{1}{4} of the flowers are red. The rest is blue. How many flowers are red?
28×14=284=728 \times \frac{1}{4} = \frac{28}{4} = 7

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Problem 12381

Find the exact value of the logarithm without using a calculator. log525\log _{5} 25 log525=\log _{5} 25= \square (Type an integer or a simplified Trabtion))

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Problem 12382

Subtract (6a352a+9)\left(6 a^{3}-\frac{5}{2} a+9\right) from (7a2+10a15)\left(-7 a^{2}+10 a-15\right).
The result is \square

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Problem 12383

Multiply the polynomials. (y9)(y5)=(y-9)(y-5)=

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Problem 12384

Kareem has 216 role-playing game cards. His goal is to collect all 15 sets of cards. There are 72 cards in a set. How many more cards does Kareem need to reach his goal?

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Problem 12385

Use the graph, showing the results of a survey of the hours of sleep a group of Americans gets each night, to determine the truth value of each simple statement in the following compound statement. Then determine the truth value of the compound statement. Four percent of Americans get 4 or fewer hours of sleep each night or 32%32 \% get 8 or more hours of sleep each night, and 30%30 \% get 6 or more hours of sleep each night.
The truth value of the simple statement "Four percent of Americans get 4 or fewer hours of sleep each night" is

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Problem 12386

2) 7x2+35xx+5\frac{7x^2 + 35x}{x + 5}

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Problem 12387

Find the distance between the points AA and BB given below. (That is, find the length of the segment connecting AA and BB.) Round your answer to the nearest hundredth.
1 unit \square units

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Problem 12388

Calculate the distance between the points L=(3,1)L=(-3,-1) and K=(5,7)K=(5,-7) in the coordinate plane. Give an exact answer (not a decimal approximation).
Distance: \square
\sqrt{\square} \square \square

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Problem 12389

14. In 2018, the state sales tax in Maine was 5.5%5.5 \%, or 0.055 . in Florida was 6%6 \%, or 0.06 . How much greater was the sales tax in Florida than in Maine?

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Problem 12390

MP. 2 Reasoning can the sum of two mixed numbers be equal to 2? Explain.

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Problem 12391

Calculate the drip rate in gtt/min for a fluid volume of V=100mLV = 100 \, \text{mL} infused over T=30minutesT = 30 \, \text{minutes} with D=10gtt/mLD = 10 \, \text{gtt/mL}.

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Problem 12392

Find the volume formula for a sphere with radius nn.

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Problem 12393

Rita's score RR is 9 more than 4 times Milan's score MM. Write the expression for RR.

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Problem 12394

Factor the expression: 2x215xy+28y22x^{2} - 15xy + 28y^{2}.

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Problem 12395

Evaluate b2yb - 2y for b=3b = -3 and y=3y = 3.

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Problem 12396

Calculate 634+2456 \frac{3}{4}+2 \frac{4}{5}.

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Problem 12397

How many unique ways can 5 friends sit in a row of 6 seats?

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Problem 12398

Calculate 8×101+6.9×1038 \times 10^{-1} + 6.9 \times 10^{3}.

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Problem 12399

Calculate 2.74×1016.53×1042.74 \times 10^{-1} - 6.53 \times 10^{-4}.

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Problem 12400

Calculate 5.9×1020.078×1035.9 \times 10^{-2} - 0.078 \times 10^{3}.

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