Expression

Problem 11501

What is the area of the shaded region? \square square miles

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Problem 11502

Kiara had \$12. She bought two plants that cost \$5.20 and \$4.80. How much do the plants cost together? Use the decimal point in your answer! Plants: \$[ ? ] Remaining money: \$

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Problem 11503

The expression sin(θ5)cos(2θ7)cos(θ5)sin(2θ7)\sin \left(\frac{\theta}{5}\right) \cos \left(\frac{2 \theta}{7}\right)-\cos \left(\frac{\theta}{5}\right) \sin \left(\frac{2 \theta}{7}\right) is equivalent to A cos(17θ35)\cos \left(\frac{17 \theta}{35}\right) C sin(3θ35)\sin \left(\frac{3 \theta}{35}\right) B sin(17θ35)\sin \left(\frac{17 \theta}{35}\right) D sin(3θ35)\sin \left(\frac{-3 \theta}{35}\right)

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Problem 11504

41158\frac{4}{11} \cdot \frac{5}{8}

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Problem 11505

1114 \frac{11}{14} of 28

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Problem 11506

Suppose the Consumer Price Index in 2019 is 131.9, with 2002 as the base year. (a) What is the purchasing power of the dollar in 2019 compared to 2002? (b) What is the real income, relative to 2002, of a wage earner whose income amounted to 62,900 in 2019?
(a) The purchasing power of the dollar in 2019 compared to 2002 is $\$ (Round to six decimal places as needed.)

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Problem 11507

Subtract. (6z3)(4z8)(-6z - 3) - (-4z - 8)

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Problem 11508

x226x2 \frac{x^2}{2} - \frac{6x}{2} 2x2+32 \frac{2x}{2} + \frac{3}{2} x2x6xx \frac{x^2}{x} - \frac{6x}{x} 2x2+82 \frac{2x}{2} + \frac{8}{2} x266x6 \frac{x^2}{6} - \frac{6x}{6} 4x2+32 \frac{4x}{2} + \frac{3}{2} as a sum of two parts in simplest form:

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Problem 11509

9. a. Brianna took out a loan from the bank to buy her first car which costs \$18,000. She will make monthly payments of \$429.56 over 4 years. How many payments will she make over the four years? Hint: 12 months in a year. (Chapter 4, Lesson 3)
\$10000
b. Determine the total amount that Brianna will pay for the car. (Chapter 4, Lesson 3)
c. Determine the amount of interest that Brianna paid the bank. (Chapter 4, Lesson 3)

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Problem 11510

Multiplicar. 49×45\frac{4}{9} \times 45

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Problem 11511

2. The table below shows the prices of some snacks at the concession stand. Mark ordered 2 hotdogs, 3 sodas, and a candy bar. The sales tax for the order was $0.56\$0.56. He paid with a $20\$20 bill.
| Item | Price | |---|---| | Soda | $1.25\$1.25 | | Chips | $1.00\$1.00 | | Hotdog | $2.45\$2.45 | | Candy
Bar | $1.30\$1.30 |

2 Hotdogs 3 Sodas 1 candy bar Tax 0.560.56 Total amount - 20
How much change should Mark receive from the $20\$20 bill? Show your work. a. $9.49\$9.49 b. $10.64\$10.64 c. $12.14\$12.14 d. $14.26\$14.26

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Problem 11512

An employee in the 12% tax bracket invests \$3000.00 in a Traditional IRA. When the employee retires, her salary is in the 22% tax bracket. What tax will be assessed on the initial investment when the employee retires? Not enough information to answer Since the employee is using a Traditional IRA, she will pay no taxes when she retires. \$360.00 \$660.00

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Problem 11513

Problem 2. (1 point) Using: limx7f(x)=6\lim _{x \rightarrow 7} f(x)=6 and limx7g(x)=4\lim _{x \rightarrow 7} g(x)=4, evaluate limx7f(x)+g(x)8f(x)\lim _{x \rightarrow 7} \frac{f(x)+g(x)}{8 f(x)}
Limit == \square Enter DNE if the limit does not exist.

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Problem 11514

Mr. Sanchez has 100/400/50 liability insurance. He was in an auto accident caused by his negligence. Four people were injured in the accident. They sued in court and were awarded money. One person was ordered $110,000\$110,000, and the other three were awarded $65,000\$65,000 each. How much will the insurance company pay for these lawsuits? 265.83265.83 for both cars 400400

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Problem 11515

6) Factor completely. 4x226x+124x^2 - 26x + 12

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Problem 11516

9. Simplify: 50=\sqrt{-50}= \qquad

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Problem 11517

Use the image to answer the question.
Find the surface area of the cylinder. Use the approximation 3.14 for pi.

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Problem 11518

Multiply. 37×42\frac{3}{7} \times 42

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Problem 11519

Factor the expression: 10x2+5x10x^{2} + 5x.

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Problem 11520

cosπ6cscπ3+sinπ4\cos \frac{\pi}{6} \csc \frac{\pi}{3}+\sin \frac{\pi}{4}

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Problem 11521

7i7i 7(cos(90))+isin(90)))\boxed{\phantom{7}}(\cos(\boxed{\phantom{90^\circ}})^\circ) + i \sin(\boxed{\phantom{90^\circ}})^\circ))

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Problem 11522

1. In Mrs. Johnson's class, the students took a survey of their favorite subject. The number of students who voted for math is a muttiple of 2 and 3 . How many students could have voted for math? A. 15 students B. 16 students C. 18 students D. 19 students

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Problem 11523

Emerson invited some of her friends to spend the night for her birthday party. The number of friends she invited is a multiple of 4. How many friends could Emerson have invited to her birthday party? A. 10 friends B. 12 friends C. 13 friends D. 14 friends

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Problem 11524

Mrs. Stevenson has 24 students. She warts to use her knowiedge of mul ples to pur they students into equal groups. Which is not a possible number of groups lilirs Steversan cars have if she wants her 24 students in equal groups? A. 3 groups B. 4 groups C. 5 groups D. 6 graps

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Problem 11525

20. A student walks 3 km to school in 40 minutes and then runs 3 km back in 20 minutes. What is their average velocity for the round trip?

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Problem 11526

Write the negation of the following statement. I'm going to Seattle or Austin.
Choose the correct answer below. A. I'm not going to Seattle or I'm not going to Austin. B. I'm going to Seattle and Austin. C. I'm going to Seattle and not Austin. D. I'm going to neither Seattle nor Austin.

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Problem 11527

Find the value of the polynomial 3x22x+1 when x=2.\text{Find the value of the polynomial } -3x^2 - 2x + 1 \text{ when } x = -2.

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Problem 11528

Майти fyx: \text{Майти } f_{yx}:
x=(y+5)((6x+y)2+8912x(6x+y))((6x+y)2+89)2 \frac{\partial}{\partial x} = \frac{(y+5)((6x+y)^2 + 89 - 12x(6x+y))}{((6x+y)^2+89)^2}

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Problem 11529

Simplify the radical expression: *
40\sqrt{40}

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Problem 11530

Simplify. 641664^{\frac{1}{6}}

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Problem 11531

4-2. The process of changing a sum to a product is called factoring. When an expression is written as a product, it is said to be in factored form, and each of the expressions being multiplied is called a factor. Can every expression be factored? That is, can you rewrite every sum as a product?
Investigate this question by using algebra tiles to build rectangles for the following expressions. For each expression, write an equation showing that the area as a sum equals the area as a product. If you cannot build a rectangle, be prepared to convince the class that no rectangle exists (and thus the expression cannot be factored).
a. 2x2+7x+62x^2 + 7x + 6 b. 6x2+7x+26x^2 + 7x + 2 c. x2+4x+1x^2 + 4x + 1 d. 2xy+6x+y2+3y2xy + 6x + y^2 + 3y

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Problem 11532

A gigantic balloon used for a parade is shaped like an ice cream cone. The radius of the cone and the hemisphere is 12 feet. The height of the cone is 60 feet. If the balloon is filled with helium, how much helium will be needed to fill the balloon? Use 3.14 for pi. Show your work.
Part A What is the volume of he hemisphere? Use 3.14 for pi and round your answer to the nearest tenth (one decimal place). (1) point) 5,425.9f35,425.9 f^{3} 7,234.6ft37,234.6 \mathrm{ft}^{3} 3,617.3ft33,617.3 \mathrm{ft}^{3} 21,703.7ft321,703.7 f t^{3}

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Problem 11533

Answer the questions about the following polynomial. 167x9x4+x3-\frac{1}{6}-7 x-9 x^{4}+x^{3}
Answer Attempt 1 out of 2
The expression represents a \square polynomial with \square terms. The constant term is \square , the leading term is \square , and the leading coefficient is \square .

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Problem 11534

QUESTION 12 Provide an appropriate response. Find the value of EE, the margin of error, for c=0.90,n=10c=0.90, n=10 and s=3.7s=3.7. 0.68 2.14 1.62 2.12

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Problem 11535

Fractions
Writing fractions with a common denominator to add or subtract
Let's find 35+13\frac{3}{5}+\frac{1}{3}.
First write the addition with a common denominator. Then add. 35+13=+=\frac{3}{5}+\frac{1}{3}=\frac{\square}{\square}+\frac{\square}{\square}=\frac{\square}{\square}

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Problem 11536

What percent of the bottle of apple juice is water?
40 % water
What percent of the bottle of orange juice is water?
75 % water
Complete the statement.
The ? juice is made with a greater percent of water.

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Problem 11537

2) 675÷5=675 \div 5=

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Problem 11538

1) 654÷3=654 \div 3= 2) 675÷5=675 \div 5=

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Problem 11539

Evaluate the following antiderivatives: A. ex4x27dx=+C\int \frac{e^x - 4x^2}{7} dx = \boxed{\phantom{}} + C.

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Problem 11540

3.24=\sqrt{3.24}=

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Problem 11541

e Brady \& Matthew Camera Company has just come out with their newest professional Español ality digital camera, the ToughPix1. The company is selling this camera only through its w mobile app at a profit of $382\$ 382 per camera. This purchase comes with a guarantee that, rring gross negligence, if the camera breaks in the first two years after purchase, Brady \& atthew will replace it free of charge. Replacing a camera in this way costs the company $2300\$ 2300. ppose for each ToughPix1 there is a 5%5 \% chance that it will need to be replaced exactly once, %\% chance that it will need to be replaced exactly twice, and a 93%93 \% chance that it will not ed to be replaced. necessary, consult a list of formulas.) If Brady \& Matthew knows that it will sell many of these cameras, should it expect to make or lose money from selling them? How much?
To answer, take into account the profit earned on each camera and the expected value of the cost of replacements of the camera.

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Problem 11542

7947=\frac{7}{9} - \frac{4}{7} =

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Problem 11543

George and his dad made some snack mix for their camping trip. To make it they used 2 cups of mini pretzels, 14\frac{1}{4} cup of peanuts, and 13\frac{1}{3} cup of dried fruit. How many cups of snack mix did they have when they were finished? Show your thinking

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Problem 11544

George and his dad made some snack mix for their camping trip. To make it, they used 2 cups of mini pretzels, 34\frac{3}{4} cup of peanuts, and 23\frac{2}{3} cup of dried fruit. How many cups of snack mix did they have when they were finished? Show your thinking.

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Problem 11545

21. cosθ1+sinθ+1+sinθcosθ\frac{\cos \theta}{1+\sin \theta}+\frac{1+\sin \theta}{\cos \theta}

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Problem 11546

(142)2\left(\frac{\frac{1}{4}}{2}\right)^2

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Problem 11547

Evaluate: \int \frac{(\ln x)^2}{x} dx = \text{________} + C

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Problem 11548

Rewrite the mixed number 4124 \frac{1}{2} as an equivalent fraction with a denominator equal to 12. 412=?12412=12\begin{array}{c} 4 \frac{1}{2}=\frac{?}{12} \\ 4 \frac{1}{2}=\frac{\square}{12} \end{array}

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Problem 11549

Expand and combine 3(3x4a1)a(2y+5x)-3(3 x-4 a 1)-a(2 y+5 x)

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Problem 11550

The angle θ=17π6\theta=-\frac{17 \pi}{6} is in which quadrant?

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Problem 11551

The terminal side of the angle θ=11π4\theta=-\frac{11 \pi}{4} lies in which quadrant?

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Problem 11552

Calculate the percentage difference: 3.53.141593.14159×100\frac{3.5-3.14159}{3.14159} \times 100.

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Problem 11553

Evaluate the integral from 3 to 19 of 7x117 - |x - 11| using area formulas. What is 319(7x11)dx\int_{3}^{19}(7 - |x - 11|) d x?

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Problem 11554

Find cos(8π)\cos(8\pi) without a calculator: a. Where does θ=8π\theta=8\pi end? b. What are the coordinates for r=1r=1?

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Problem 11555

Find the reference angle for θ=29π11\theta=\frac{29 \pi}{11} and the least nonnegative coterminal angle. θC=\theta_{\mathrm{C}}=

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Problem 11556

Find the reference angle for θ=29π11\theta=\frac{29 \pi}{11} and the coterminal angle θC=7π11\theta_{C}=\frac{7 \pi}{11}. What is θR\theta_{R}?

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Problem 11557

Find the reference angle for θ=26π7\theta = -\frac{26 \pi}{7}. What is the least nonnegative coterminal angle θC\theta_{C}? In which quadrant is θC\theta_{C}?

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Problem 11558

Find the reference angle for θ=29π11\theta=\frac{29 \pi}{11} and the coterminal angle θC=7π11\theta_{C}=\frac{7 \pi}{11}. In which quadrant is θC\theta_{C}?

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Problem 11559

Evaluate the integral using partial fractions: 2(x6)2(x+6)dx=C\int -\frac{2}{(x-6)^{2}(x+6)} \, dx = C

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Problem 11560

Evaluate the expression: 1181x6dx+11081(x6)2dx12161x+6dx-\frac{1}{18} \int \frac{1}{x-6} dx + \frac{1}{108} \int \frac{1}{(x-6)^{2}} dx - \frac{1}{216} \int \frac{1}{x+6} dx.

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Problem 11561

Find the expression to calculate the total height of two towers: 89100\frac{89}{100} m and 710\frac{7}{10} m. Choose 1 answer: (A) 89100+7100\frac{89}{100}+\frac{7}{100} (B) 8910+710\frac{89}{10}+\frac{7}{10} (C) 89100+70100\frac{89}{100}+\frac{70}{100} (D) 89070890 \quad 70

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Problem 11562

Evaluate the integral: 7x+25(7x)(x2+25)dx=\int \frac{7 x+25}{(7-x)\left(x^{2}+25\right)} d x=

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Problem 11563

How much longer is Fluffy's tail (1131 \frac{1}{3} m) than Fireball's tail (1141 \frac{1}{4} m)?

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Problem 11564

Find the reference angle for θ=26π7\theta=-\frac{26 \pi}{7}. What is θC\theta_{C} and the reference angle θR\theta_{R}?

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Problem 11565

Calculate the result of 3423\frac{3}{4} - \frac{2}{3}.

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Problem 11566

Noor had 57\frac{5}{7} L of coconut milk and used 12\frac{1}{2} L. How much is left? Identify the correct number line.

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Problem 11567

Find the remainder when 87 is divided by 17. What is 87÷1787 \div 17 remainder?

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Problem 11568

Find cos(2π3)\cos \left(-\frac{2 \pi}{3}\right). Which quadrant is the angle θ=2π3\theta=-\frac{2 \pi}{3} in?

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Problem 11569

Find the remainder when 945 is divided by 35. What is 945÷35945 \div 35?

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Problem 11570

Which option shows the correct multiplication of 409×7409 \times 7 using the standard algorithm? Choose A, B, or C.

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Problem 11571

Calculate the value of 1.4374\frac{1.4}{374}.

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Problem 11572

Evaluate (5.38×105)÷(2×102)\left(5.38 \times 10^{5}\right) \div\left(2 \times 10^{-2}\right) and express your answer in scientific notation.

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Problem 11573

What is the weight of a phone that weighs 0.068125 pounds, rounded to the nearest hundredth in scientific notation?

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Problem 11574

Find the least nonnegative angle θc\theta_{c} coterminal with θ=39π4\theta = -\frac{39 \pi}{4} and its special angle family.

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Problem 11575

Calculate the area of a square with side length 53\frac{5}{3} meters.

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Problem 11576

Divide 1121 \frac{1}{2} by 34\frac{3}{4}.

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Problem 11577

What is 23\frac{2}{3} of 6 if 6 unit squares each have 23\frac{2}{3} of their area shaded?

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Problem 11578

Factor the equation y=x27x+12y=x^{2}-7 x+12 into the form y=(xh)(xk)y=(x-h)(x-k).

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Problem 11579

What fraction of the doughnuts in a box have both frosting and sprinkles if 23\frac{2}{3} have frosting and 12\frac{1}{2} of those have sprinkles?

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Problem 11580

Calculate the area of a rectangle with length 52\frac{5}{2} cm and width 4 cm.

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Problem 11581

Find the total cost for 4 friends if tickets are \7.25eachandpopcorn/drinkis$5.75eachusing7.25 each and popcorn/drink is \$5.75 each using 4(5.75+7.25)$.

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Problem 11582

Calculate 234×452 \frac{3}{4} \times \frac{4}{5}. Choose the correct answer: (A) 27202 \frac{7}{20} (B) 2152 \frac{1}{5} (C) 1351 \frac{3}{5} (D) 1120\frac{11}{20}.

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Problem 11583

What is 2÷72 \div 7? Choose the correct answer: A) 72\frac{7}{2} B) 97\frac{9}{7} C) 29\frac{2}{9} D) 27\frac{2}{7}

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Problem 11584

Two people share 5 kg5 \mathrm{~kg} of chocolate equally. How much does each get?
(A) 1121 \frac{1}{2} kg (B) 2122 \frac{1}{2} kg (C) 5125 \frac{1}{2} kg

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Problem 11585

4 people share 5 kg of coffee. How many kg does each person get? Choose one: (A) 0-1 kg (B) 1-2 kg (C) 2-3 kg (D) 3-4 kg.

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Problem 11586

Find the family of special angles for θ=74π12\theta = -\frac{74 \pi}{12} and its least nonnegative coterminal angle θc\theta_{c}.

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Problem 11587

Calculate the value of 7+35×212÷37 + 3 - 5 \times 2 - 12 \div 3. What is the result?

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Problem 11588

Simplify: 123(12+1)2 \frac{1}{2}-3\left(\frac{1}{2}+1\right)^{2}

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Problem 11589

Simplify: 1+32251 + 3^{2} \cdot 2 - 5

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Problem 11590

Ruby read 7 books in 14 months. Find her reading rate in books per month: 714\frac{7}{14}.

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Problem 11591

Find the least nonnegative angle θc\theta_{c} coterminal with θ=74π12\theta=-\frac{74 \pi}{12}. What is θc\theta_{c}?

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Problem 11592

Find the products: 3208 ×\times 4 and 8429 ×\times 7.

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Problem 11593

Determine the family of the angle θ=33π6\theta=\frac{33 \pi}{6}, sketch it, and find the least nonnegative coterminal angle θc\theta_{c}. θc=\theta_{c}=

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Problem 11594

Determine the family of the angle θ=38π4\theta=\frac{38 \pi}{4}, sketch it, and find the least nonnegative coterminal angle θc\theta_{c}.

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Problem 11595

Find the products: 3,418 × 8 and 7,347 × 5.

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Problem 11596

Find the angle family for θ=38π4\theta=\frac{38 \pi}{4} (either π4\frac{\pi}{4} or π6\frac{\pi}{6}). Sketch it and find the least nonnegative coterminal angle θc\theta_{\mathrm{c}}. Choose the correct graph from A, B, or C.

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Problem 11597

Simplify this expression: 12(6753+22)(4)32\frac{1}{2}\left(\frac{67}{5 \sqrt{3}+2 \sqrt{2}}\right)(4) \frac{\sqrt{3}}{2} to =(67353+22)53225322=\left(\frac{67 \sqrt{3}}{5 \sqrt{3}+2 \sqrt{2}}\right) \frac{5 \sqrt{3}-2 \sqrt{2}}{5 \sqrt{3}-2 \sqrt{2}}.

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Problem 11598

Identify the angle family for θ=4π\theta=4\pi, sketch it, and find its least nonnegative coterminal angle θc\theta_{c}.

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Problem 11599

Determine the family of angles for θ=38π4\theta=\frac{38 \pi}{4} and find the least nonnegative coterminal angle θc\theta_{c}. θc=\theta_{c}=

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Problem 11600

Find the family of the angle θ=43π6\theta=-\frac{43 \pi}{6}, sketch it, and determine the least nonnegative coterminal angle θc\theta_{c}.

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