Math Statement

Problem 19301

1. Without graphing them, tell if the following two lines are parallel, perpendicular, or neither. 3y+2x=1253y=2x\begin{array}{l} 3 y+2 x=12 \\ 5-3 y=2 x \end{array}

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Problem 19302

Question 4 (1 point) The function y=3sinx+1y=-3 \sin x+1 has an amplitude of -3 . True False
Question 5 (1 point) The graph of the function y=sinπxy=\sin \pi x has a period of 2 . True False
Question 6 (1 point) The trigonometric equation cos2xsin2x=0\cos ^{2} x-\sin ^{2} x=0 has the same solutions as the trigonometric equation cos2x=0\cos 2 x=0. True False

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Problem 19303

Write the complex number in rectangular form. 12(cos150+isin150)12(cos150+isin150)=\begin{array}{l} 12\left(\cos 150^{\circ}+i \sin 150^{\circ}\right) \\ 12\left(\cos 150^{\circ}+i \sin 150^{\circ}\right)= \end{array} \square (Type your answer in the form a + bi. Type an exact answer, using radicals as needed.)

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Problem 19304

50r2\sqrt{50 r^{2}} A) 5r25 r \sqrt{2} B) 5r225 r^{2} \sqrt{2} C) 25r225 r \sqrt{2} D) 25r2225 r^{2} \sqrt{2}

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Problem 19305

This question has two parts. First, answer Part A. Then, answer Part B. Part A REASONING a. Rewrite 6x4+2x216x2+24x+322x+4\frac{6 x^{4}+2 x^{2}-16 x^{2}+24 x+32}{2 x+4} as q(x)+π(x)d(x)q(x)+\frac{\pi(x)}{d(x)} using long division. 6x4+2x316x2+24x+322x+4=\frac{6 x^{4}+2 x^{3}-16 x^{2}+24 x+32}{2 x+4}= \square x3\int x^{3}- \square x2+x^{2}+ \square x+\int x+ \square , remainder \square
Part B b. What does the remainder indicate in this problem?
Because the remainder is Select Choice v,2x+4v, 2 x+4 is a Select Choice vv of 6x4+2x316x2+24x+326 x^{4}+2 x^{3}-16 x^{2}+24 x+32. \square

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Problem 19306

实 7 Solve for ff 4+10f=7(2f4)f=\begin{array}{l} 4+10 f=7(2 f-4) \\ f=\square \end{array}

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Problem 19307

What value of bb makes each equation true? Math 3. Unit 5. Lesson a. logb144=2\log _{b} 144=2 b. logb64=2\log _{b} 64=2 c. logb64=3\log _{b} 64=3 d. logb64=6\log _{b} 64=6 e. logb19=2\log _{b} \frac{1}{9}=-2

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Problem 19308

Find the tollowing antiderivatives
1. 6+sec3(x)dx=C\int 6+\sec ^{3}(x) d x=\square-C. 27x26x2dx=C2 \int \frac{7 x^{2}-6}{x^{2}} d x=\square-C

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Problem 19309

(From Unit 5, Lesson 4)
10. If log10(x)=6\log _{10}(x)=6, what is the value of xx ? Explain how you know.

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Problem 19310

Find the following antiderivatives:
1. 6+sec2(x)dx=+C\int 6+\sec ^{2}(x) d x=\square+C.
2. 7x26x2dx=+C\int \frac{7 x^{2}-6}{x^{2}} d x=\square+C.

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Problem 19311

3. Approximate 19x2+3xdx\int_{1}^{9} x^{2}+3 x d x using the midpoint rule with n=4n=4. (Ans: 360)

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Problem 19312

Algebra II
3. Write an equation for the line perpendicular to y=4x3y=4 x-3 through the point (2,0)(2,0) using point-slope form, then simplify into standard form. y=4x3y=4 x-3

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Problem 19313

Question 1 (1 point) A population, pp, of bears varies according to p(t)=250+30costp(t)=250+30 \cos t, where tt is the time, in years. During which of the following intervals is the population decreasing? a) 3π2<t<2π\frac{3 \pi}{2}<t<2 \pi b) 0<t<π0<t<\pi C) 0<t<π20<t<\frac{\pi}{2} d) π<t<2π\pi<t<2 \pi

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Problem 19314

Question 1 of 5, Step 1 of 1 Correct
Use any convenient method to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form. {x+5y=12y3z=103xy+6z=32\left\{\begin{array}{rrr} x+5 y & = & 12 \\ y-3 z & = & 10 \\ -3 x-y+6 z & = & 32 \end{array}\right.
Answer Keypad Keyboard Shortcuts
Selecting an option will display any text boxes needed to complete your answer. Only One Solution Inconsistent System O Dependent System

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Problem 19315

Fully factorise the quadratic expression 8cc2158 c-c^{2}-15

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Problem 19316

Evaluate the expression. 10+3+91010+3+9-10 \square

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Problem 19317

The function ff is given by f(x)=1+3cosxf(x)=1+3 \cos x. What is the average rate of change of ff over the interval [0,π][0, \pi] ?
A 6π-\frac{6}{\pi} (B) 2π-\frac{2}{\pi} (C) 2π\frac{2}{\pi} (D) 1

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Problem 19318

Write the quotient in rectangular form. 4 cis 40020 cis 85\frac{4 \text { cis } 400^{\circ}}{20 \text { cis } 85^{\circ}} 4 cis 40020 cis 85=\frac{4 \text { cis } 400^{\circ}}{20 \text { cis } 85^{\circ}}= \square (Simplify your answer, including any radicals. Use integers or fr

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Problem 19319

Find all zeros of the function: k(x)=12x223x+5k(x)=12 x^{2}-23 x+5. The zeros are x=x= \square
Find all zeros of the function: g(x)=x23x18g(x)=x^{2}-3 x-18. The zeros are x=x= \square \qquad Find all zeros of the function: m(x)=2x25x63m(x)=2 x^{2}-5 x-63. The zeros are x=x= \square Question Help: Video

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Problem 19320

(b)
By using the method of Laplace transform find the solution of IVP: x=4x6y+5y=3x5y+48(t2)x(0)=2,y(0)=5\begin{array}{l} x^{\prime}=4 x-6 y+5 \\ y^{\prime}=3 x-5 y+48(t-2) \\ x(0)=2, y(0)=5 \end{array}

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Problem 19321

2) y=32x3y=2+2x\begin{array}{l} y=\frac{3}{2} x-3 \\ y=-2+2 x \end{array}

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Problem 19322

Find f(3)f(-3) for this piecewise-defined function. f(x)={73x1 if x0x+8 if x>0f(x)=\left\{\begin{array}{ll} \frac{7}{3} x-1 & \text { if } x \leq 0 \\ x+8 & \text { if } x>0 \end{array}\right.
Write your answer as an integer or as a fraction simplest form. f(3)=f(-3)=

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Problem 19323

12y7x2+9y3x46y7x53y3x4\frac{-12 y^{7} x^{2}+9 y^{3} x^{4}-6 y^{7} x^{5}}{3 y^{3} x^{4}}
Simplify your answer as much as poss

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Problem 19324

yx4y>3x8\begin{array}{l} y \leq -x - 4 \\ y > 3x - 8 \end{array}

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Problem 19325

h) (2a3)(a22a3)(2 a-3)-\left(a^{2}-2 a-3\right)

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Problem 19326

h) (2a3)(a22a3)(2 a-3)-\left(a^{2}-2 a-3\right)

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Problem 19327

Solve the system of equations by the substitution method. y=57x+27y=14x+4\begin{array}{l} y=\frac{5}{7} x+\frac{2}{7} \\ y=\frac{1}{4} x+4 \end{array}
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \square 3. (Type an ordered pair.) B. There are infinitely many solutions. C. There is no solution.

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Problem 19328

Solve the system of equations by the addition method. 16x3y=494x+2y=26\begin{aligned} 16 x-3 y & =-49 \\ 4 x+2 y & =-26 \end{aligned}
Select the correct choice below and fill in any answer boxes present in your choice. A. The solution set is \square \}. (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions. C. There is no solution.

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Problem 19329

2 \longdiv { 5 8 7 }
Jurces at SavvasRealize.com

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Problem 19330

Which of the following is the set of all real numbers xx such that x+2>x+5x+2>x+5 ? A. The set containing only zero B. The set containing all nonnegative real numbers C. The set containing all negative real numbers D. The set containing all real numbers E. The empty set

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Problem 19331

The formulas below are the cost and revenue functions for a company that manufactures and sells small radios. C(x)=24,000+38x and R(x)=40xC(x)=24,000+38 x \text { and } R(x)=40 x a. Use the formulas shown to write the company's profit function, PP, from producing and selling x radios. b. Find the company's profit if 20,000 radios are produced and sold. a. The company's profit function is P(x)=\mathrm{P}(\mathrm{x})= : \square (Simplify your answer.)

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Problem 19332

Prove sinθtanθ=secθcosθ\sin \theta \tan \theta=\sec \theta-\cos \theta

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Problem 19333

8. 8 \longdiv { 7 4 7 } pic 5 | Lesson 5-8 299

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Problem 19334

Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not, state your answer as "divergent". 67(x+5)3/2dx=\int_{6}^{\infty} \frac{7}{(x+5)^{3 / 2}} d x=

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Problem 19335

Simplify the following expression. 14x27x6x2+8+13x-14 x^{2}-7 x-6 x^{2}+8+13 x

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Problem 19336

(5.8×105)+(7.2×104)\left(5.8 \times 10^{5}\right)+\left(7.2 \times 10^{4}\right)

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Problem 19337

The least squares method minimizes which of the following? All of the above SST SSE SSR

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Problem 19338

Evaluate aba \cdot b if a=6a=6 and b=4b=4

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Problem 19339

0.6×0.3=0.6 \times 0.3=

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Problem 19340

Solve for x . 4(x+4)+3x5=44(x+4)+3 x-5=4
Answer Attempt 1 out of 2 x=x= \square Submit Answer

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Problem 19341

Simplify. 4(2w+4)12w4(2 w+4)-12 w

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Problem 19342

Question 3 (1 point) An equivalent trigonometric expression for tan(x)\tan (-x) is a) tanx\tan x b) cotx-\cot x c) cotx\cot x d) tanx-\tan x

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Problem 19343

re: 0/2 Penalty: none uestion olve the equation for all values of xx. x(x21)(x2+4)=0-x\left(x^{2}-1\right)\left(x^{2}+4\right)=0
Answer Attempt 1 out of 2 (†) Additional Solution No Solution

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Problem 19344

(7.9×107)(3.3×107)\left(7.9 \times 10^{7}\right)-\left(3.3 \times 10^{7}\right)

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Problem 19345

Question
Solve the equation for all values of xx. 3x(x29)(x210)=03 x\left(x^{2}-9\right)\left(x^{2}-10\right)=0
Answer Attempt 1 out of 2

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Problem 19346

The following steps are used to rewrite the polynomial expression (x+4y+z)(x7y)(x+4 y+z)(x-7 y). Step 1: x(x7y)+4y(x7y)+z(x7y)x(x-7 y)+4 y(x-7 y)+z(x-7 y)
Step 2: x27xy+4yx28y2+zx7zyx^{2}-7 x y+4 y x-28 y^{2}+z x-7 z y
Step 3: x27xy+4xy28y2+xz7yzx^{2}-7 x y+4 x y-28 y^{2}+x z-7 y z
Step 4: x23xy28y2+xz7yzx^{2}-3 x y-28 y^{2}+x z-7 y z
Identify the property used in each of the steps:
Step 1:
Step 2:
Step 3:

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Problem 19347

Question
Factor completely. x3+5x2+9x+45x^{3}+5 x^{2}+9 x+45

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Problem 19348

Find the derivative of y=5xtan(x3) y = 5x \tan(x^3) .

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Problem 19349

4.5 Exponential and Logarithmic Equations and Applications Question 8 of 26 (2 points) I Question Attempt: 2 of Unilimited Antonina 1\checkmark 1 2\checkmark 2 3\checkmark 3 4\checkmark 4 5\checkmark 5 6\checkmark 6 7\checkmark 7 8 9\checkmark 9 10\checkmark 10 11 Español 13
Solve the equation. Write the solution set with the exact values given in terms of common or natural logarithms. Also give approximate solutions to 4 decimal places. 2t=192^{t}=19 There is no solution, }\}. The exact solution set is \square \} tt \approx \square \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|l|}{} \\ \hline ln\square \ln \square & log\square \log \square & log { }^{\text {D }} \\ \hline ㅁ & \sqrt[\square]{\square} & \square \\ \hline ×\times & & 5 \\ \hline \end{tabular} Check Save For Later Submit Assignment (C) 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center!Accessibility Dec 3 6:56

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Problem 19350

Find all the zeros. Write the answer in exact form. t(x)=x35x2+4x+6t(x)=x^{3}-5 x^{2}+4 x+6
If there is more than one answer, separate them with commas. Select "None" if applicable. The zeros of t(x)t(x) : \square

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Problem 19351

lest Yourself! practice tool
Express the product of 2x2+6x82 x^{2}+6 x-8 and x+3x+3 in standard form. \square

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Problem 19352

Solve the equation. Write the solution set with the exact values given in terms of common or natural logarithms. Also give approximate solutions to 4 decimal places. 2700=16,200e0.2x2700=16,200 e^{-0.2 x} There is no solution, \{\}. The exact solution set is \square }\}. xx \approx \square

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Problem 19353

Solve for xx. 2+32x=x3x-2+\frac{32}{x}=x-\frac{3}{x}
If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". x=x= \square No solution 1\sqrt{1} \square
,,\square, \square, \ldots

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Problem 19354

What is the exact value of tan(π12)\tan \left(-\frac{\pi}{12}\right) ? 2+3-2+\sqrt{3} 33-\frac{\sqrt{3}}{3}
tan7π1213\frac{\tan \frac{7 \pi}{12}}{1-\sqrt{3}} 131-\sqrt{3}

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Problem 19355

Simplify. 8x9y33\sqrt[3]{-8 x^{9} y^{3}}

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Problem 19356

(107)+16\left(-\frac{10}{7}\right)+\frac{1}{6}

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Problem 19357

Which equations equal 4(2+1c)4(2+1 c)? Choose all: (A) 6+4c6+4 c, (B) 6+5c6+5 c, (C) 8×4c8 \times 4 c, (D) 8+4c8+4 c, (C) (4×2)+(4×1c)(4 \times 2)+(4 \times 1 c), (๑) (4×2)×(4×1c)(4 \times 2) \times(4 \times 1 c).

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Problem 19358

Solve for ww: 5w2+21w+4=05 w^{2}+21 w+4=0. If multiple solutions, list them; if none, say "No solution." w=w=

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Problem 19359

Simplify [(8y)+(8y)+(8y)]÷2[(8y)+(8y)+(8y)] \div 2 and provide the answer.

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Problem 19360

Fill in the blank to make w212w+w^{2}-12w+ a perfect square.

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Problem 19361

Solve for x in the equation: -4(3x + 1) + x - 3 = 15.

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Problem 19362

Solve for xx using the quadratic formula: 3x2+9x+4=03 x^{2}+9 x+4=0. What are the solutions? x=x=

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Problem 19363

Solve for x in the equation: -3(-x+4)-5x+5=-15.

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Problem 19364

Solve for x in the equation: 3(-4x - 1) - 2x + 4 = 43.

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Problem 19365

Solve for x in the equation: 3(-5x + 4) + 5x - 1 = -39.

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Problem 19366

Find the discriminant and number of real solutions for the equation 3x2+6x1=0-3 x^{2}+6 x-1=0.

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Problem 19367

Graph the parabola y=54x2y=\frac{5}{4} x^{2} and plot five points: vertex, two left, two right.

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Problem 19368

Find the money multiplier for a reserve rate of r=0.12r = 0.12. Options: A. 10.12\frac{1}{0.12} B. 100.1210 \cdot 0.12 C. 10.122\frac{1}{0.12^{2}} D. 0.1220.12^{2}

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Problem 19369

Find the complement of set A={0,q,s,t}A=\{0, q, s, t\} in universe U={0,p,q,r,s,t,u}U=\{0, p, q, r, s, t, u\} using roster method. A={A^{\prime}=\{\square

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Problem 19370

Lesson 2 Homework: Calculate 434 \cdot 3.

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Problem 19371

Solve for xx: x+1=5(x+6)+8xx + 1 = -5 - (x + 6) + 8x

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Problem 19372

Solve for xx: 6(4x+5)=3x4(4x1)+56(4x + 5) = 3x - 4(-4x - 1) + 5

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Problem 19373

Evaluate C(7,3)C(7,3) or 7C3{ }_{7} C_{3}. What is the result?

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Problem 19374

Solve for xx in the equation: x+6=2(x+2)5-x + 6 = -2(x + 2) - 5.

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Problem 19375

Solve for xx: 9x+3(x+1)+8=x10-9x + 3(x + 1) + 8 = -x - 10

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Problem 19376

Find ACA \cup C^{\prime} for sets U={1,15,6,12,5,13,20,19}U=\{1,15,6,12,5,13,20,19\}, A={1,20,19}A=\{1,20,19\}, and C={15,6,12,5,13}C=\{15,6,12,5,13\}.

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Problem 19377

Find the set AA \cup \varnothing where A={6,7,8,9}A=\{6,7,8,9\}. Choose the correct option: A. A={}A \cup \varnothing=\{\} B. AA \cup \varnothing is the empty set.

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Problem 19378

Find the intersection of the complements: ABA^{\prime} \cap B^{\prime} given U={a,b,c,d,e,f,g}U=\{a, b, c, d, e, f, g\}, A={b,c,f,g}A=\{b, c, f, g\}, B={c,e,f}B=\{c, e, f\}.

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Problem 19379

Calculate: 1276\frac{1}{2} \cdot 7 \cdot 6

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Problem 19380

Evaluate abc+d\frac{a}{b}-c+d for a=78,b=716,c=0.8,d=14a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, d=\frac{1}{4}. What is the result?

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Problem 19381

Evaluate abc+d\frac{a}{b}-c+d for a=78,b=716,c=0.8a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, and d=14d=\frac{1}{4}. Give the answer as a mixed number.

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Problem 19382

Evaluate abc+d\frac{a}{b}-c+d for a=78,b=716,c=0.8a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, d=14d=\frac{1}{4}. Express as a mixed number.

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Problem 19383

Solve for xx: 3(3x+4)2=(x+2)-3(-3 x+4)-2=-(x+2)

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Problem 19384

Find the average rate of change of the function f(x)=2x2+4f(x)=2x^{2}+4 over the interval [5,1][-5,1]. Include units if needed.

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Problem 19385

Solve using the Order of Operations: 7) (63)3+822(\frac{6}{3})^{3}+8-2^{2} 8) [(12÷3)+2]4[(12 \div 3)+2]^{4} 9) (93)22+10(9 \cdot 3)-2^{2}+10 10) 3+6(24)-3+6-(-2 \cdot-4)

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Problem 19386

Find the average rate of change of f(x)=3x2x2f(x)=3 x^{2}-\frac{x}{2} over the interval [5,10][5,10]. Specify units if needed.

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Problem 19387

Find (gf)(4)(g \circ f)(4) for f(x)=4x+3f(x)=4x+3 and g(x)=x23x5g(x)=x^2-3x-5. Simplify your answer.

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Problem 19388

Find (fg)(x)(f \circ g)(x) and (gf)(x)(g \circ f)(x) for f(x)=10x+15f(x)=-10x+15 and g(x)=7x+9g(x)=7x+9, including their domains.

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Problem 19389

Find the length MPM P, where MM is the midpoint of CACA and PP is where the angle bisector of B\angle B intersects CACA.

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Problem 19390

Find the midpoint MM of the line segment between points J(3,2)J(-3,2) and K(9,2)K(9,2). Also, find MM for J(1,3)J(1,3) and K(7,5)K(7,5).

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Problem 19391

Evaluate a+b+cda+b+c d for a=78,b=716,c=0.8,d=14a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, d=\frac{1}{4}. Write your answer as a fraction.

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Problem 19392

Find (fg)(x)(f \circ g)(x) and (gf)(x)(g \circ f)(x) for f(x)=10x+15f(x)=-10 x+15 and g(x)=7x+9g(x)=7 x+9. Determine their domains.

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Problem 19393

Find (a)(fg)(x)(a)(f \circ g)(x) and its domain, and (b)(gf)(x)(b)(g \circ f)(x) and its domain for f(x)=x,g(x)=x+9f(x)=\sqrt{x}, g(x)=x+9.

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Problem 19394

Use the distance formula to check if AB\overline{AB} and CD\overline{CD} are congruent: (61)2+(11)2\sqrt{(-6-1)^{2}+(1--1)^{2}} and (154)2+(43)2\sqrt{(15-4)^{2}+(-4-3)^{2}}. Are they congruent?

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Problem 19395

Check if (fg)(x)(f \circ g)(x) equals (gf)(x)(g \circ f)(x) for f(x)=7x2f(x)=7x-2 and g(x)=2x7g(x)=2x-7. Simplify (fg)(x)=((f \circ g)(x)=\square( )).

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Problem 19396

Show that (fg)(x)(gf)(x)(f \circ g)(x) \neq (g \circ f)(x) for f(x)=8x7f(x)=8x-7 and g(x)=7x8g(x)=7x-8. Find (fg)(x)(f \circ g)(x). (fg)(x)=f(g(x))=f(7x8)=8(7x8)7=(f \circ g)(x) = f(g(x)) = f(7x-8) = 8(7x-8)-7 = \square

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Problem 19397

Evaluate (fg)(3)(f \circ g)(3) for f(x)=x+16f(x)=\sqrt{x+16} and g(x)=x2g(x)=x^{2}. Simplify your answer.

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Problem 19398

Find (fg)(3)(f \circ g)(3) and (gf)(2)(g \circ f)(-2) for f(x)=x+16f(x)=\sqrt{x+16} and g(x)=x2g(x)=x^{2}.

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Problem 19399

Simplify the expression: 2x+x(x+6)2x + x(x + 6).

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Problem 19400

Find the integral of the function: 4xcos(23x)dx\int 4 x \cos (2-3 x) d x

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