Math Statement

Problem 18601

Solve for $x$ in the equation $x^2 - 3x - 4 = -4$ .

See Solution

Problem 18602

Solve for $x$ in the equation $\frac{x^{2}}{x+20}=10$ . What are the real solutions?

See Solution

Problem 18603

Calculate $3^{3}-3^{4} \div 3^{3}$ .

See Solution

Problem 18604

Find all real solutions of the equation $\frac{x^{2}}{x+20}=10$ .

See Solution

Problem 18605

Find the area inside the sidewalks given by $\frac{1}{2}(40)(30)+\frac{1}{2}(40)(20)$ . Show your work.

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Problem 18606

Describe the solution set for $16 x^{2}-8 x+1=0$ : how many real solutions are there and why?

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Problem 18607

Find the revenue function $R(x)$ if the cost is $C(x) = 39000 + 2400x$ and each unit sells for \$3150.

See Solution

Problem 18608

Convert $19.3 \mathrm{~g} / \mathrm{mL}$ to $\mathrm{lb} / \mathrm{in}^{3}$ .

See Solution

Problem 18609

Evaluate: $10 + 3^{3} \div 9$

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Problem 18610

a. Cost function: $C(x)=39000+2400 x$ b. Revenue function: $R(x)=3150 x$ c. Find the break-even point by solving $C(x)=R(x)$ .

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Problem 18611

Determine the vertical asymptotes of the function $g(x)=\frac{8 x}{(x+9)(x-6)}$ .

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Problem 18612

Simplify: $9^{10} \cdot 9$

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Problem 18613

Find the break-even point for the cost function $C(x)=39000+2400x$ and revenue function $R(x)=3150x$ .

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Problem 18614

Prove that two triangles, $\Delta$ and $\Delta$ , have equal area.

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Problem 18615

Find the composite function $(f \circ g)(x)$ for $f(x)=x^{2}+9$ and $g(x)=x^{2}-6$ .

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Problem 18616

If $BC=6x$ , $CD=9$ , and $BD=9x$ , find the value of $BC$ . Simplify your answer as a fraction, mixed number, or integer.

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Problem 18617

Find $x$ such that $f(x)=x^2-3x-4=-4$ and also calculate $f(4)$ .

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Problem 18618

Find the composite function of the given functions: $f(x)=\frac{4}{x-2}$ , $g(x)=\frac{5}{6x}$ . Calculate $(f \circ g)(x)$ .

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Problem 18619

Find $K L$ given $K L=6 x$ , $L M=15 x-11$ , and $K M=20 x+3$ . Simplify your answer.

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Problem 18620

Find the inverse of the one-to-one function $f(x) = 8x$ .

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Problem 18621

Solve the equation: $(\frac{1}{5})^{x} = 625$ .

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Problem 18622

Find the value of $\ln e^{8}$ .

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Problem 18623

Solve for $x$ in the equation $e^{5 x} = 3$ .

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Problem 18624

Determine the domain of the function $f(x)=\log_{10}(x^{2}-10x+24)$ .

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Problem 18625

Find the revenue function $R(x)$ given the cost function $C(x)=20000+40x$ and price per unit is $80$ .

See Solution

Problem 18626

Find the inverse of the one-to-one function $f(x)=\frac{3}{7 x+8}$ .

See Solution

Problem 18627

Find the radical. If it doesn't exist as a real number, write "DNE".
$\sqrt{0.49}=$

See Solution

Problem 18628

a. Write the cost function: $C(x)=20000+40x$ . b. Write the revenue function: $R(x)=80x$ . c. Find the break-even point as an ordered pair without commas in large numbers.

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Problem 18629

Convert the following expressions to decimals: a. $(3 \times 10)+(5 \times 1)+(2 \times \frac{1}{10})+(7 \times \frac{1}{100})+(6 \times \frac{1}{1000})$ b. $(9 \times 100)+(2 \times 10)+(3 \times 0.1)+(7 \times 0.001)$ c. $(5 \times 1,000)+(4 \times 100)+(8 \times 1)+(6 \times \frac{1}{100})+(5 \times \frac{1}{1000})$

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Problem 18630

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=x^{2}+4x+8$ , where $h \neq 0$ .

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Problem 18631

Solve the equation: $\left(\frac{256}{81}\right)^{x+1}=\left(\frac{3}{4}\right)^{x-1}$ .

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Problem 18632

Simplify the expression $\left(\frac{x^{-1 / 5}}{y^{1 / 6}}\right)^{120}$ using exponent properties.

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Problem 18633

Find the inverse of the one-to-one function $f(x)=\sqrt[3]{x+5}$ .

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Problem 18634

Calculate the expression: $\frac{18+2 \times 3}{5-2}$ .

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Problem 18635

Find the composite function for $f(x)=4 x^{2}+5 x+6$ and $g(x)=5 x-3$ : $(g \circ f)(x)$ .

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Problem 18636

Find the absolute value of -22: $|-22|$

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Problem 18637

Find the absolute value of 6.43, represented as $|6.43|$ .

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Problem 18638

Simplify the radical expression: sqrt(27) =

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Problem 18639

Complete the statement using $<$ , $>$ , or $=$ : 13. $4=|-8|$ 14. $|-7|$

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Problem 18640

Is $|-7|$ less than, greater than, or equal to $-12$ ?

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Problem 18641

Simplify the radical expression using Property 1: $\operatorname{sqrt}(x)$ for $\sqrt{x}$ and $\operatorname{root}(x)(y)$ for $\sqrt[x]{y}$ . Find $\sqrt[3]{625 a^{6} b^{9}}.$

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Problem 18642

Rationalize the denominator of the expression: $\frac{3}{\sqrt{7}}$ .

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Problem 18643

Find the absolute value of -7 and 3. What is $|-7|$ and $|3|$ ?

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Problem 18644

Solve the equation: $\left|\frac{1}{3} x-8\right|=4$

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Problem 18645

Find the composite function for $f(x)=\frac{2}{x-6}$ and $g(x)=\frac{3}{2 x}$ . Compute $(f \circ g)(x)$ .

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Problem 18646

Is it true that $-7 < |3|$ ?

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Problem 18647

Determine the domain of the function $f(x) = \frac{x}{\sqrt{x-8}}$ .

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Problem 18648

Complete the statement: $4 \succeq|-8|$

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Problem 18649

Combine the terms: sqrt(32) - sqrt(32) + sqrt(8) = ?

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Problem 18650

Solve for $x$ in the equation: $2x + 4 - \frac{3}{2}x = \frac{1}{3}(x + 5)$ .

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Problem 18651

Multiply: (sqrt(2)+sqrt(5))(sqrt(2)-sqrt(5))=

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Problem 18652

Solve for $y$ in the equation: $y + b = 20$ .

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Problem 18653

4 equals the absolute value of -8.

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Problem 18654

Write 3,230,000 in scientific notation. $3,230,000=$

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Problem 18655

Rationalize the denominator: $\frac{8}{sqrt(x)-sqrt(y)}=$

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Problem 18656

Find $A$ from the equation $W=\frac{A}{4}$ .

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Problem 18657

Solve for m in the equation: mg = W.

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Problem 18658

Evaluate $y^2 + 6y + 9$ for $y = -4$ .

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Problem 18659

Is $4$ greater than or equal to the absolute value of $-8$ ?

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Problem 18660

Rationalize and simplify the following fractions: 7. $\frac{2}{\sqrt{5}}$ 8. $\frac{4}{3\sqrt{2}}$

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Problem 18661

a. Find the power for the surface area of a cube. b. Find the power for the volume of a cube. Surface area: $6s^2$ , Volume: $s^3$ .

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Problem 18662

Is Jackson correct to conclude that triangles are similar from $\frac{3}{6}=\frac{2}{4}$ ? Explain your reasoning.

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Problem 18663

Find the limit $\lim _{x \rightarrow 7^{+}} F(x)$ for the function $F(x)=\frac{x^{2}-49}{|x-7|}$ . Does it exist?

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Problem 18664

Select subtraction problems with a difference of 1.65: 27.30-16.65, 11.23-9.58, 40.4-23.9.

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Problem 18665

Solve for $x$ in the equation $\sqrt{8 x-1}=\sqrt{9 x-7}$ .

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Problem 18666

Solve for $x$ in the equation: $\sqrt{40 - 6x} = 2x$ . What are the real solutions?

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Problem 18667

Solve the equation for real $x$ : $\sqrt{8x + 4} + 2 = x$ . What are the solutions?

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Problem 18668

Find functions $f(x)$ and $g(x)$ such that $h(x)=(f \circ g)(x)$ with $h(x)=(2-3 x)^{2}$ and $g(x)=2-3 x$ .

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Problem 18669

Solve for $x$ in the equation: $\sqrt{1+x}+\sqrt{1-x}=2$ . What are the real solutions?

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Problem 18670

Solve for real $x$ in the equation $x^{4}-10 x^{2}+21=0$ . Enter answers as comma-separated values.

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Problem 18671

Solve the equation $x=\sqrt{x}-2\sqrt[4]{x}-3=0$ for all real solutions.

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Problem 18672

Solve the equation $x^{2}-6x=0$ .

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Problem 18673

Find the value of the box: $21 \cdot \square=7$ .

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Problem 18674

1.125 divided by 0.75 equals what?

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Problem 18675

Solve the equation $\sqrt{x}-4 \sqrt[4]{x}-5=0$ . What are the real solutions?

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Problem 18676

Find real solutions for $x$ using the Quadratic Formula for $x^{2}-0.014 x-0.066=0$ .

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Problem 18677

Calculate the product of 0.8 and 0.2: $0.8 \times 0.2$ .

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Problem 18678

Find the product and express it as $a + b i$ : $(7 - 2 i)(1 + i)$ .

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Problem 18679

Evaluate the quotient and express it as $a + b i$ : $\frac{4 - 3 i}{1 - 4 i}$

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Problem 18680

Determine if the graphs of $f(x)=-\sqrt{x}$ and $g(x)=\sqrt{-x}$ are identical.

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Problem 18681

Evaluate the quotient and express it as $a$ : $\frac{3-7 i}{1-3 i}$

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Problem 18682

Multiply 645 by 836. What is the result?

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Problem 18683

What was the initial population of a California town modeled by $f(x)=16,612(1.024)^{x}$ on January 1, 2013?

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Problem 18684

Find the limit: $\lim _{x \rightarrow 2} \frac{2 f(x) g(x)}{3 f(x)-g(x)}$ given that $\lim _{x \rightarrow 2} f(x)=4, \quad \lim _{x \rightarrow 2} g(x)=-1.$

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Problem 18685

What is $0.021$ divided by $7$ ?

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Problem 18686

Find the frequency of note F# which is 3 half steps below A3 (220 Hz) using $F(x)=F_{0}(1.059463)^{x}$ . Round to the nearest whole number.

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Problem 18687

Solve the inequality: $r+10 \leq -3(2r-3) + 6(r+3)$ .

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Problem 18688

Divide $6.12$ by $6$ to find the result in unit form: $6.12 \div 6=$ ones $\div 6+$ hundredths $\div 6$ .

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Problem 18689

Find the intensity $I$ of an earthquake with a magnitude of 4.7 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

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Problem 18690

Is $15 + 15 + 15 = 15 \times 3$ true? Simplify to check: $45 = 15 \times 3$ .

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Problem 18691

What is $18 \div 2$ ?

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Problem 18692

What is $1.8 \div 2$ ?

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Problem 18693

Find the earthquake magnitude using $R=\log \left(\frac{I}{1}\right)$ for $I=4 \times 10^{4}$ . Round to the nearest hundredth.

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Problem 18694

Calculate 17.64 - 9.38.

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Problem 18695

Calculate: $645 \div 43$

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Problem 18696

Find total cookbook sales on January 1, 2026, using $f(x)=18,838(1.044)^{x}$ , where $x$ is years since 2013.

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Problem 18697

Which expressions are equivalent: (A) $7+21v$ vs $2(5+3v)$ , (B) $7+21v$ vs $3(4+7v)$ , (C) $7+21v$ vs $7(1+3v)$ ?

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Problem 18698

Find the operation $\circ$ such that $-.64 \circ ? = 1.29$ . What is $?$

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Problem 18699

Which expressions are equal? (A) $17(3 m+4)$ vs $51 m+68$ , (B) $51 m+67$ , (C) $51 m-68$ , (D) $47 m+51$ .

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Problem 18700

Which two expressions are equal: (A) $\frac{32 p}{2}$ and $17 p$ , (B) $\frac{32 p}{2}$ and $18 p$ , (C) $\frac{32 p}{2}$ and $16 p$ , (D) $\frac{32 p}{2}$ and $14 p$ ?

See Solution

1 ...184 185 186 187 188 189 190 ...269

Math Statement

Problem 18601

Solve for xxx in the equation x2−3x−4=−4x^2 - 3x - 4 = -4x2−3x−4=−4.

Problem 18602

Solve for xxx in the equation x2x+20=10\frac{x^{2}}{x+20}=10x+20x2​=10. What are the real solutions?

Problem 18603

Calculate 33−34÷333^{3}-3^{4} \div 3^{3}33−34÷33.

Problem 18604

Find all real solutions of the equation x2x+20=10\frac{x^{2}}{x+20}=10x+20x2​=10.

Problem 18605

Find the area inside the sidewalks given by 12(40)(30)+12(40)(20)\frac{1}{2}(40)(30)+\frac{1}{2}(40)(20)21​(40)(30)+21​(40)(20). Show your work.

Problem 18606

Describe the solution set for 16x2−8x+1=016 x^{2}-8 x+1=016x2−8x+1=0: how many real solutions are there and why?

Problem 18607

Find the revenue function R(x)R(x)R(x) if the cost is C(x)=39000+2400xC(x) = 39000 + 2400xC(x)=39000+2400x and each unit sells for \$3150.

Problem 18608

Convert 19.3 g/mL19.3 \mathrm{~g} / \mathrm{mL}19.3 g/mL to lb/in3\mathrm{lb} / \mathrm{in}^{3}lb/in3.

Problem 18609

Evaluate: 10+33÷910 + 3^{3} \div 910+33÷9

Problem 18610

a. Cost function: C(x)=39000+2400xC(x)=39000+2400 xC(x)=39000+2400x b. Revenue function: R(x)=3150xR(x)=3150 xR(x)=3150x c. Find the break-even point by solving C(x)=R(x)C(x)=R(x)C(x)=R(x).

Problem 18611

Determine the vertical asymptotes of the function g(x)=8x(x+9)(x−6)g(x)=\frac{8 x}{(x+9)(x-6)}g(x)=(x+9)(x−6)8x​.

Problem 18612

Simplify: 910⋅99^{10} \cdot 9910⋅9

Problem 18613

Find the break-even point for the cost function C(x)=39000+2400xC(x)=39000+2400xC(x)=39000+2400x and revenue function R(x)=3150xR(x)=3150xR(x)=3150x.

Problem 18614

Prove that two triangles, Δ\DeltaΔ and Δ\DeltaΔ, have equal area.

Problem 18615

Find the composite function (f∘g)(x)(f \circ g)(x)(f∘g)(x) for f(x)=x2+9f(x)=x^{2}+9f(x)=x2+9 and g(x)=x2−6g(x)=x^{2}-6g(x)=x2−6.

Problem 18616

If BC=6xBC=6xBC=6x, CD=9CD=9CD=9, and BD=9xBD=9xBD=9x, find the value of BCBCBC. Simplify your answer as a fraction, mixed number, or integer.

Problem 18617

Find xxx such that f(x)=x2−3x−4=−4f(x)=x^2-3x-4=-4f(x)=x2−3x−4=−4 and also calculate f(4)f(4)f(4).

Problem 18618

Find the composite function of the given functions: f(x)=4x−2f(x)=\frac{4}{x-2}f(x)=x−24​, g(x)=56xg(x)=\frac{5}{6x}g(x)=6x5​. Calculate (f∘g)(x)(f \circ g)(x)(f∘g)(x).

Problem 18619

Find KLK LKL given KL=6xK L=6 xKL=6x, LM=15x−11L M=15 x-11LM=15x−11, and KM=20x+3K M=20 x+3KM=20x+3. Simplify your answer.

Problem 18620

Find the inverse of the one-to-one function f(x)=8xf(x) = 8xf(x)=8x.

Problem 18621

Solve the equation: (15)x=625(\frac{1}{5})^{x} = 625(51​)x=625.

Problem 18622

Find the value of ln⁡e8\ln e^{8}lne8.

Problem 18623

Solve for xxx in the equation e5x=3e^{5 x} = 3e5x=3.

Problem 18624

Determine the domain of the function f(x)=log⁡10(x2−10x+24)f(x)=\log_{10}(x^{2}-10x+24)f(x)=log10​(x2−10x+24).

Problem 18625

Find the revenue function R(x)R(x)R(x) given the cost function C(x)=20000+40xC(x)=20000+40xC(x)=20000+40x and price per unit is 808080.

Problem 18626

Find the inverse of the one-to-one function f(x)=37x+8f(x)=\frac{3}{7 x+8}f(x)=7x+83​.

Problem 18627

Find the radical. If it doesn't exist as a real number, write "DNE". 0.49= \sqrt{0.49}= 0.49​=

Problem 18628

a. Write the cost function: C(x)=20000+40xC(x)=20000+40xC(x)=20000+40x. b. Write the revenue function: R(x)=80xR(x)=80xR(x)=80x. c. Find the break-even point as an ordered pair without commas in large numbers.

Problem 18629

Problem 18630

Simplify the difference quotient f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​ for f(x)=x2+4x+8f(x)=x^{2}+4x+8f(x)=x2+4x+8, where h≠0h \neq 0h=0.

Problem 18631

Solve the equation: (25681)x+1=(34)x−1\left(\frac{256}{81}\right)^{x+1}=\left(\frac{3}{4}\right)^{x-1}(81256​)x+1=(43​)x−1.

Problem 18632

Simplify the expression (x−1/5y1/6)120\left(\frac{x^{-1 / 5}}{y^{1 / 6}}\right)^{120}(y1/6x−1/5​)120 using exponent properties.

Problem 18633

Find the inverse of the one-to-one function f(x)=x+53f(x)=\sqrt[3]{x+5}f(x)=3x+5​.

Problem 18634

Calculate the expression: 18+2×35−2\frac{18+2 \times 3}{5-2}5−218+2×3​.

Problem 18635

Find the composite function for f(x)=4x2+5x+6f(x)=4 x^{2}+5 x+6f(x)=4x2+5x+6 and g(x)=5x−3g(x)=5 x-3g(x)=5x−3: (g∘f)(x)(g \circ f)(x)(g∘f)(x).

Problem 18636

Find the absolute value of -22: ∣−22∣|-22|∣−22∣

Problem 18637

Find the absolute value of 6.43, represented as ∣6.43∣|6.43|∣6.43∣.

Problem 18638

Simplify the radical expression: sqrt(27) =

Problem 18639

Complete the statement using <<<, >>>, or ===: 13. 4=∣−8∣4=|-8|4=∣−8∣ 14. ∣−7∣|-7|∣−7∣

Problem 18640

Is ∣−7∣|-7|∣−7∣ less than, greater than, or equal to −12-12−12?

Solve for $x$ in the equation $x^2 - 3x - 4 = -4$ .

Solve for $x$ in the equation $\frac{x^{2}}{x+20}=10$ . What are the real solutions?

Calculate $3^{3}-3^{4} \div 3^{3}$ .

Find all real solutions of the equation $\frac{x^{2}}{x+20}=10$ .

Find the area inside the sidewalks given by $\frac{1}{2}(40)(30)+\frac{1}{2}(40)(20)$ . Show your work.

Describe the solution set for $16 x^{2}-8 x+1=0$ : how many real solutions are there and why?

Find the revenue function $R(x)$ if the cost is $C(x) = 39000 + 2400x$ and each unit sells for \$3150.

Convert $19.3 \mathrm{~g} / \mathrm{mL}$ to $\mathrm{lb} / \mathrm{in}^{3}$ .

Evaluate: $10 + 3^{3} \div 9$

a. Cost function: $C(x)=39000+2400 x$ b. Revenue function: $R(x)=3150 x$ c. Find the break-even point by solving $C(x)=R(x)$ .

Determine the vertical asymptotes of the function $g(x)=\frac{8 x}{(x+9)(x-6)}$ .

Simplify: $9^{10} \cdot 9$

Find the break-even point for the cost function $C(x)=39000+2400x$ and revenue function $R(x)=3150x$ .

Prove that two triangles, $\Delta$ and $\Delta$ , have equal area.

Find the composite function $(f \circ g)(x)$ for $f(x)=x^{2}+9$ and $g(x)=x^{2}-6$ .

If $BC=6x$ , $CD=9$ , and $BD=9x$ , find the value of $BC$ . Simplify your answer as a fraction, mixed number, or integer.

Find $x$ such that $f(x)=x^2-3x-4=-4$ and also calculate $f(4)$ .

Find the composite function of the given functions: $f(x)=\frac{4}{x-2}$ , $g(x)=\frac{5}{6x}$ . Calculate $(f \circ g)(x)$ .

Find $K L$ given $K L=6 x$ , $L M=15 x-11$ , and $K M=20 x+3$ . Simplify your answer.

Find the inverse of the one-to-one function $f(x) = 8x$ .

Solve the equation: $(\frac{1}{5})^{x} = 625$ .

Find the value of $\ln e^{8}$ .

Solve for $x$ in the equation $e^{5 x} = 3$ .

Determine the domain of the function $f(x)=\log_{10}(x^{2}-10x+24)$ .

Find the revenue function $R(x)$ given the cost function $C(x)=20000+40x$ and price per unit is $80$ .

Find the inverse of the one-to-one function $f(x)=\frac{3}{7 x+8}$ .

Find the radical. If it doesn't exist as a real number, write "DNE".
$\sqrt{0.49}=$

a. Write the cost function: $C(x)=20000+40x$ . b. Write the revenue function: $R(x)=80x$ . c. Find the break-even point as an ordered pair without commas in large numbers.

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=x^{2}+4x+8$ , where $h \neq 0$ .

Solve the equation: $\left(\frac{256}{81}\right)^{x+1}=\left(\frac{3}{4}\right)^{x-1}$ .

Simplify the expression $\left(\frac{x^{-1 / 5}}{y^{1 / 6}}\right)^{120}$ using exponent properties.

Find the inverse of the one-to-one function $f(x)=\sqrt[3]{x+5}$ .

Calculate the expression: $\frac{18+2 \times 3}{5-2}$ .

Find the composite function for $f(x)=4 x^{2}+5 x+6$ and $g(x)=5 x-3$ : $(g \circ f)(x)$ .

Find the absolute value of -22: $|-22|$

Find the absolute value of 6.43, represented as $|6.43|$ .

Complete the statement using $<$ , $>$ , or $=$ : 13. $4=|-8|$ 14. $|-7|$

Is $|-7|$ less than, greater than, or equal to $-12$ ?

Simplify the radical expression using Property 1: $\operatorname{sqrt}(x)$ for $\sqrt{x}$ and $\operatorname{root}(x)(y)$ for $\sqrt[x]{y}$ . Find $\sqrt[3]{625 a^{6} b^{9}}.$

Rationalize the denominator of the expression: $\frac{3}{\sqrt{7}}$ .

Find the absolute value of -7 and 3. What is $|-7|$ and $|3|$ ?

Solve the equation: $\left|\frac{1}{3} x-8\right|=4$

Find the composite function for $f(x)=\frac{2}{x-6}$ and $g(x)=\frac{3}{2 x}$ . Compute $(f \circ g)(x)$ .

Is it true that $-7 < |3|$ ?

Determine the domain of the function $f(x) = \frac{x}{\sqrt{x-8}}$ .

Complete the statement: $4 \succeq|-8|$

Solve for $x$ in the equation: $2x + 4 - \frac{3}{2}x = \frac{1}{3}(x + 5)$ .

Solve for $y$ in the equation: $y + b = 20$ .

Write 3,230,000 in scientific notation. $3,230,000=$

Rationalize the denominator: $\frac{8}{sqrt(x)-sqrt(y)}=$

Find $A$ from the equation $W=\frac{A}{4}$ .

Evaluate $y^2 + 6y + 9$ for $y = -4$ .

Is $4$ greater than or equal to the absolute value of $-8$ ?

Rationalize and simplify the following fractions: 7. $\frac{2}{\sqrt{5}}$ 8. $\frac{4}{3\sqrt{2}}$

a. Find the power for the surface area of a cube. b. Find the power for the volume of a cube. Surface area: $6s^2$ , Volume: $s^3$ .

Is Jackson correct to conclude that triangles are similar from $\frac{3}{6}=\frac{2}{4}$ ? Explain your reasoning.

Find the limit $\lim _{x \rightarrow 7^{+}} F(x)$ for the function $F(x)=\frac{x^{2}-49}{|x-7|}$ . Does it exist?

Solve for $x$ in the equation $\sqrt{8 x-1}=\sqrt{9 x-7}$ .

Solve for $x$ in the equation: $\sqrt{40 - 6x} = 2x$ . What are the real solutions?

Solve the equation for real $x$ : $\sqrt{8x + 4} + 2 = x$ . What are the solutions?

Find functions $f(x)$ and $g(x)$ such that $h(x)=(f \circ g)(x)$ with $h(x)=(2-3 x)^{2}$ and $g(x)=2-3 x$ .

Solve for $x$ in the equation: $\sqrt{1+x}+\sqrt{1-x}=2$ . What are the real solutions?

Solve for real $x$ in the equation $x^{4}-10 x^{2}+21=0$ . Enter answers as comma-separated values.

Solve the equation $x=\sqrt{x}-2\sqrt[4]{x}-3=0$ for all real solutions.

Solve the equation $x^{2}-6x=0$ .

Find the value of the box: $21 \cdot \square=7$ .