Math Statement

Problem 25601

Find the value of the piecewise function f(x)f(x) at x=4x = -4.

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Problem 25602

Find the value of the piecewise function f(x)f(x) at x=1x = -1, where f(x)f(x) is defined as:
f(x)={3x5 for x<11 for x=12 for 1<x5 f(x)=\left\{\begin{array}{lll} 3 x-5 & \text { for } & x<1 \\ 1 & \text { for } & x=1 \\ -2 & \text { for } & 1<x \leq 5 \end{array}\right.

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Problem 25603

Find the value of the piecewise function f(x)f(x) at x=1x = -1:
f(x)={2x+8 for 5x<16 for x=1x+5 for 1<x2 f(x)=\left\{\begin{array}{lll} 2 x+8 & \text { for } & -5 \leq x<-1 \\ -6 & \text { for } & x=-1 \\ x+5 & \text { for } & -1<x \leq 2 \end{array}\right.

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Problem 25604

Calculate 94÷47-94 \div 47.

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Problem 25605

Calculate: 10. 52(6)52 \cdot(-6) and 13. 94÷47-94 \div 47.

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Problem 25606

Calculate the value of 3(8)÷(6)-3 \cdot(-8) \div(-6).

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Problem 25607

Rewrite f(x)=x2+6xf(x)=x^{2}+6 x in vertex form and find its roots (i.e. xx-intercepts).

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Problem 25608

Calculate the product of 52 and -6: 52(6)52 \cdot (-6).

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Problem 25609

Solve for pp: 2.6(5.5p12.4)=127.922.6(5.5 p-12.4)=127.92. Use the distributive, addition, and division properties.

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Problem 25610

Convert the mixed number to a decimal: 5320=5 \frac{3}{20}=

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Problem 25611

Calculate the value of 53205 \frac{3}{20}.

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Problem 25612

Find (fg)(4)(f \circ g)(4), (gf)(2)(g \circ f)(2), (ff)(1)(f \circ f)(1), and (gg)(0)(g \circ g)(0) for f(x)=3xf(x)=3x and g(x)=6x2+6g(x)=6x^2+6.

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Problem 25613

Find all θ\theta in [0,360)[0^{\circ}, 360^{\circ}) such that sinθ=32\sin \theta = \frac{\sqrt{3}}{2}.

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Problem 25614

Find all θ\theta in [0,360)[0^{\circ}, 360^{\circ}) such that cosθ=22\cos \theta=\frac{\sqrt{2}}{2}.

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Problem 25615

Calculate 52(6)52 \cdot(-6).

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Problem 25616

Find all values of θ\theta in [0,360)[0^{\circ}, 360^{\circ}) such that cscθ=233\csc \theta = \frac{2 \sqrt{3}}{3}.

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Problem 25617

Find the composite functions for f(x)=9x+7f(x)=9x+7 and g(x)=x2g(x)=x^{2}: (a) fgf \circ g, (b) gfg \circ f, (c) fff \circ f, (d) ggg \circ g. State each domain.

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Problem 25618

Find the following: (a) (fg)(4)(f \circ g)(4) for f(x)=3xf(x)=3x and g(x)=6x2+6g(x)=6x^2+6 (b) (gf)(2)(g \circ f)(2) (c) (ff)(1)(f \circ f)(1) (d) (gg)(0)(g \circ g)(0)

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Problem 25619

1. Find sin83\sin 83^{\circ}.
2. Find cos10.47\cos^{-1} 0.47.
3. Find tan16\tan 16^{\circ}.
4. Find cot21\cot 21^{\circ}.
5. Find sin10.40\sin^{-1} 0.40.

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Problem 25620

Find composite functions for f(x)=9x+7f(x)=9x+7 and g(x)=x2g(x)=x^{2}: (a) fgf \circ g, (b) gfg \circ f, (c) fff \circ f, (d) ggg \circ g. State their domains.

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Problem 25621

Find the solutions for the system: 2y=4x+122y=4x+12 and y=2x6y=2x-6.

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Problem 25622

Solve the equations: 4x - 3y = 8 and 2x + y = 11. Find the value of yy. Choices: 83-\frac{8}{3}, 6-6, 1414, 145\frac{14}{5}.

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Problem 25623

Calculate the expression: (4+3)×10÷2+(5×6)(4+3) \times 10 \div 2 + (5 \times 6).

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Problem 25624

Find the composite functions for f(x)=2x+3f(x)=2x+3 and g(x)=x2g(x)=x^{2} and state their domains: (a) fgf \circ g, (b) gfg \circ f, (c) fff \circ f, (d) ggg \circ g.

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Problem 25625

Calculate the expression: 2.234.56+(1.453)2.23 - 4.56 + (-1.453).

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Problem 25626

Find the composite functions for f(x)=6x+8f(x)=6x+8 and g(x)=x2g(x)=x^{2}:
(a) fgf \circ g, (b) gfg \circ f, (c) fff \circ f, (d) ggg \circ g. State their domains.

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Problem 25627

Solve for xx in the equation: x6=13x - 6 = -13.

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Problem 25628

Calculate the expression: 3.601(8.2)+3.2-3.601 - (-8.2) + 3.2.

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Problem 25629

Find g(x)=3x+2g(x)=3x+2 for x=1,0,2,3,5x = -1, 0, 2, 3, 5 and complete the function table with the values of g(x)g(x).

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Problem 25630

Solve for xx in the equation: 10.1=x+5.3-10.1 = x + 5.3.

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Problem 25631

What is the name of the compound Na2Cr2O7\mathrm{Na}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}?

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Problem 25632

Given f(x)=5x+8f(x)=5x+8 and g(x)=x2g(x)=x^{2}, find the composite functions and their domains: (a) fgf \circ g (b) gfg \circ f (c) fff \circ f (d) ggg \circ g Find and simplify each expression and state the domain.

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Problem 25633

Calculate 4(15÷3)+(6×3)224(15 \div 3)+(6 \times 3)-2^{2} and show your work.

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Problem 25634

Find values of g(x)=3x+2g(x)=3x+2 for x=1,0,2,3,5x=-1, 0, 2, 3, 5. Complete the function table.

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Problem 25635

Name the compound FePO4\mathrm{FePO}_{4}.

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Problem 25636

Find values of f(x)=4x+4f(x)=4x+4 for x=1,0,1,2,5x=-1, 0, 1, 2, 5.

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Problem 25637

Name the compound Fe2(CrO4)3\mathrm{Fe}_{2}\left(\mathrm{CrO}_{4}\right)_{3}.

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Problem 25638

Find the composite functions for f(x)=8x+4f(x)=8x+4 and g(x)=x2g(x)=x^{2}: (a) fgf \circ g, (b) gfg \circ f, (c) fff \circ f, (d) ggg \circ g. Also, state the domain for each function.

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Problem 25639

Find f(6)f(-6) for f(x)=2x+2f(x)=2x+2 and g(3)g(-3) for g(x)=2x35g(x)=-2x^{3}-5. Simplify your answers.

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Problem 25640

The formula for aluminum carbonate is Al2(CO3)3Al_2(CO_3)_3.

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Problem 25641

Solve the equations: 2x+3y=8-2x + 3y = 8 and 5x2y=95x - 2y = -9. Choose the correct solution from the options provided.

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Problem 25642

Calculate the sum: 1213+(113) \frac{12}{13} + \left(-\frac{1}{13}\right) .

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Problem 25643

Calculate 12223+(9×3)12^{2}-23+(9 \times 3).

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Problem 25644

Find the composite functions for f(x)=4x+7f(x)=4x+7 and g(x)=x2g(x)=x^{2}, and state their domains: (a) fgf \circ g (b) gfg \circ f (c) fff \circ f (d) ggg \circ g

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Problem 25645

Calculate the expression: 12223+(9×3)12^{2}-23+(9 \times 3).

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Problem 25646

Solve the equations: 3x+4y=13-3x + 4y = 13 and 5x3y=185x - 3y = -18. Choose the correct solution from the options provided.

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Problem 25647

Find the composite functions for f(x)=8x+3f(x)=8x+3 and g(x)=x2g(x)=x^{2}, and state their domains:
(a) fgf \circ g, (b) gfg \circ f, (c) fff \circ f, (d) ggg \circ g.

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Problem 25648

Calculate 5012+(12.3)50 \frac{1}{2} + (-12.3).

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Problem 25649

Calculate the expression: (107)+(2×14÷4)(10-7)+(2 \times 14 \div 4).

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Problem 25650

What is the correct name for the compound S2 F4\mathrm{S}_{2} \mathrm{~F}_{4}?

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Problem 25651

What is the correct name for the compound P2S6P_{2}S_{6}?

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Problem 25652

What is the name of the compound XeF4\mathrm{XeF}_{4}?

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Problem 25653

Find composite functions for f(x)=xf(x)=\sqrt{x} and g(x)=8x+1g(x)=8x+1: (a) fgf \circ g, (b) gfg \circ f, (c) fff \circ f, (d) ggg \circ g.

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Problem 25654

Find P(B)P(B) given P(A)=0.4P(A)=0.4, P(A OR B)=0.89P(A \text{ OR } B)=0.89, and P(A AND B)=0.01P(A \text{ AND } B)=0.01.

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Problem 25655

Which symbol makes this true: 547,098574,908547,098 \bigcirc 574,908?

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Problem 25656

Find the secant line equation for y=f(x)=x2+xy=f(x)=x^{2}+x between x=3x=3 and x=7x=7. What is y=y=?

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Problem 25657

Find the secant line between x=3x=3 and x=7x=7 for y=f(x)=x2+xy=f(x)=x^{2}+x and the tangent line at x=3x=3.

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Problem 25658

Find the functions: a. (fg)(x)(f \circ g)(x); b. (gf)(x)(g \circ f)(x); c. (fg)(2)(f \circ g)(2); d. (gf)(2)(g \circ f)(2) for f(x)=6xf(x)=6-x and g(x)=2x2+x+9g(x)=2x^2+x+9.

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Problem 25659

Find the secant line for y=f(x)=x2+xy=f(x)=x^{2}+x at x=3x=3 and x=7x=7, and the tangent line at x=3x=3.

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Problem 25660

Calculate the expression: 32+(2+12×2)16÷43^{2} + (2 + 12 \times 2) - 16 \div 4.

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Problem 25661

A pond's water amount WW (liters) is given by W=35T+600W=35T+600 for time TT (minutes) in [0, 90]. Find domain and range sets.

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Problem 25662

Find the probability of either event AA or event BB occurring, given P(A)=0.09P(A)=0.09 and P(B)=0.03P(B)=0.03.

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Problem 25663

Calculate f+gf+g, fgf-g, fgfg, and fg\frac{f}{g} for f(x)=4x9f(x)=4x-9, g(x)=x2g(x)=x-2. Find their domains.

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Problem 25664

Find the quotient of 125\frac{12}{5} and 310\frac{3}{10}, and express it in simplest form.

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Problem 25665

Find the slope of the tangent line for f(x)=5xf(x)=\frac{5}{x} at x=4x=4 by calculating the instantaneous rate of change.

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Problem 25666

An airplane's fuel tank holds 300 gallons. If W=7F+4000W=7F+4000, describe the domain and range values. Choose the best sets.

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Problem 25667

Find the probability of either event AA or event BB occurring, given P(A)=0.22P(A)=0.22 and P(B)=0.42P(B)=0.42.

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Problem 25668

Find the secant line for f(x)=5xf(x)=\frac{5}{x} between x=4x=4 and x=5x=5, and the tangent line at x=4x=4.

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Problem 25669

Simplify the fraction 1218\frac{12}{18}. Is it already simplified? A. 1218=\frac{12}{18}=\square B. Cannot simplify.

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Problem 25670

Convert the mixed number 4 1/3 to a fraction. What is it? 413=4 \frac{1}{3} =

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Problem 25671

Simplify the fraction 618\frac{6}{18}. Choose A or B: A. 618=\frac{6}{18}= B. Cannot be simplified.

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Problem 25672

Write the missing number. 3+2=2+_3 + 2 = 2 + \_

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Problem 25673

What is the sum of 16\frac{1}{6} and 3536\frac{35}{36}? Provide a whole number or simplified fraction.

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Problem 25674

Calculate the product of 57 and 23: 57×2357 \times 23.

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Problem 25675

Find the sums or differences for the following:
1. 15+25\frac{1}{5}+\frac{2}{5}
2. 8949\frac{8}{9}-\frac{4}{9}
3. 510310\frac{5}{10}-\frac{3}{10}
4. 38+18\frac{3}{8}+\frac{1}{8}
5. 38+16\frac{3}{8}+\frac{1}{6}
6. 112+23\frac{1}{12}+\frac{2}{3}
7. 3416\frac{3}{4}-\frac{1}{6}
8. 51218\frac{5}{12}-\frac{1}{8}
9. 512+2145 \frac{1}{2}+2 \frac{1}{4}
10. 9310+4129 \frac{3}{10}+4 \frac{1}{2}
11. 7562127 \frac{5}{6}-2 \frac{1}{2}
12. 73137-3 \frac{1}{3}
13. 3.04+2.8813.04+2.881
14. 14.96.1814.9-6.18
15. 8.190.0428.19-0.042
16. 73.24+12.62373.24+12.623

Also, answer the question: How is adding fractions different from adding integers?

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Problem 25676

Divide: 14÷12\frac{1}{4} \div \frac{1}{2}. What is the answer as a whole number or simplified fraction?

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Problem 25677

Find P(B)P(B) given P(A AND B)=0.29P(A \text{ AND } B)=0.29 and P(AB)=0.67P(A \mid B)=0.67. Answer as a percent, rounded to two decimal places.

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Problem 25678

Solve for yy: 3(4y1)=2(5y+12)3(4y - 1) = 2\left(5y + \frac{1}{2}\right). What is yy?

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Problem 25679

Find P(B)P(B) given P(A)=0.3P(A)=0.3, P(A OR B)=0.63P(A \text{ OR } B)=0.63, and P(A AND B)=0.17P(A \text{ AND } B)=0.17.

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Problem 25680

Factor completely: x3y+12x2y2+27xy3x^{3} y + 12 x^{2} y^{2} + 27 x y^{3}

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Problem 25681

Factor completely: 3x221x+303 x^{2}-21 x+30

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Problem 25682

Find the slope between the points (-4,6) and (6,6). Then find the slope between (-3,2) and (-3,-9).

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Problem 25683

Expressions with Irrational Numbers: Tutorial Part C Find the square roots of the two factors of 36\sqrt{36} and multiply them. \square
Space used (includes formatting): 0/300000 / 30000 Submit
Part D
Is this answer the same as the answer you would get from directly finding the square root of 36 ? What does this finding show? \square

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Problem 25684

4. Given f(x)=3x2+17f(x)=3 x^{2}+17, find f(5)f(-5)

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Problem 25685

? Question Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the expressions with their simplified forms.
Tiles 12\frac{1}{2} 535 \sqrt{3} 252 \sqrt{5} 454 \sqrt{5} 4
Pairs 28\sqrt{2} \cdot \sqrt{8} \qquad 80\sqrt{80} 520\frac{\sqrt{5}}{\sqrt{20}} \qquad \square \square 20\sqrt{20} \qquad

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Problem 25686

Part A 3π+2π33 \pi+\frac{2 \pi}{3}
Space used (includes formatting): 0/300000 / 30000 Submit
Part B 35+1553 \sqrt{5}+15 \sqrt{5}

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Problem 25687

Perform the operation and combine to one fraction. 2x+1x+5xx+9\frac{2 x+1}{x}+\frac{5 x}{x+9}

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Problem 25688

Expressions with Irrational Numbers: Tutorial ? Question Drag each expression to the correct location. Estimate the value of each irrational expression to the nearest integer. 343+293202122+32523π3104322236\begin{array}{lllll} -3 \sqrt{4} \cdot \sqrt{3}+2 \sqrt{9} \cdot \sqrt{3} & \frac{-\sqrt{20}}{-\sqrt{21}} & \frac{2 \sqrt{2}+3 \sqrt{2}}{5 \sqrt{2}} & -\frac{3 \pi}{3 \sqrt{10}} & 4 \cdot 3 \sqrt{2}-2 \sqrt{2} \cdot \sqrt{36} \end{array} 3π310-\frac{3 \pi}{3 \sqrt{10}}

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Problem 25689

Which representation has the same rate of change of yy with respect to xx as the equation x+x+ 2y=62 y=6 ? (A) y=12x+2y=-\frac{1}{2} x+2

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Problem 25690

6) white (45x)(2x16)(4-5 x)-(2 x-16)

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Problem 25691

Rewrite in simplest terms: 9a2(9a5)-9 a-2(9 a-5)
Answer Attempt 1 out of 2 \square Submit Answer

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Problem 25692

15. Higher Order Thinking Explain whether 8t3y4t8 t-3 y-4 t is equivalent to 7t+(3t)3y7 t+(-3 t)-3 y.

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Problem 25693

Question Show Examples
Answer the questions below about Line 1 and Line 2 shown below. (6+7)+36+(7+3)\begin{array}{l} (6+7)+3 \\ 6+(7+3) \end{array} Line 1 Line 2
Answer Attempt 1 out of 2
The expression was rewritten using the (6+7)+3(6+7)+3 equals \square +3 which equals \square 7. 6+(7+3)6+(7+3) equals 6+6+ \qquad which equals \square .

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Problem 25694

2.5
Use the equality test for fractions to determine if the fractions are equal.  15) 4?226\text { 15) } \frac{4 ? 22}{6} A) Yes B) No No answer text provided. No answer text provided.

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Problem 25695

Convert. 22) 7 mL=7 \mathrm{~mL}= \qquad L A) 0.007 L B) 7.0 L C) 700 L D) 0.07 L

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Problem 25696

29) Perform the operations indicated 18.85+71.23+13.06318.85+71.23+13.063 A) 103.143 B) 104.243 C) 105.153 D) 104.143

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Problem 25697

Question 34
Divide. 34) 5.3346/1.025.3346 / 1.02 A) 0.19578 B) 0.5783 C) 52.3 D) 5.23

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Problem 25698

f(x)=2x3+15x2+4x21f(x)=2 x^{3}+15 x^{2}+4 x-21
Identify the yy-intercept of the function. 21-21
Identify all real roots. Use commas to separate \square

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Problem 25699

Solve the system of linear equations by elimination. x+y=22x+7y=9\begin{array}{l} x+y=2 \\ 2 x+7 y=9 \end{array}

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Problem 25700

Solve for vv. v5=75\frac{v}{5}=75
Simplify your answer as much as possible.

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