Math Statement

Problem 19501

Calculate $5,621 \div 20$ .

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Problem 19502

Simplify $\left(\frac{-4 x^{2}}{y^{2}}\right)^{2}$ using exponent properties and show only positive exponents.

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Problem 19503

Find the initial total sales of a spy novel modeled by $f(x)=18,245(1.021)^{x}$ when $x=0$ .

See Solution

Problem 19504

Simplify the expression: $-2(6xy^2)^0$ and use only positive exponents in your answer.

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Problem 19505

Simplify the expression $-2\left(3 m^{-2} n^{2}\right)^{-1}$ using exponent rules and show only positive exponents.

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Problem 19506

Solve $4^{\lg 2}=\left(\frac{1}{9 x}\right)^{\lg 4}$ without a calculator.

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Problem 19507

Find the intensity, $I$ , of an earthquake with a magnitude of 6.7 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

See Solution

Problem 19508

Find the equation of the line parallel to $12 x-18 y=-36$ that goes through the point $P(-3,-6)$ .

See Solution

Problem 19509

Find the total sales of a strategy game on January 1, 2030, using $f(x)=10,333(1.046)^{x}$ with $x=17$ .

See Solution

Problem 19510

Find the frequency of note A# (1 half step above A3 at 220 Hz) using the formula $F(x)=F_{0}(1.059463)^{x}$ . Round to the nearest whole number.

See Solution

Problem 19511

Is it true or false that if the product of a point's coordinates is positive, the point is in quadrant I?

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Problem 19512

Find the intensity $I$ of an earthquake with a magnitude of 4.5 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

See Solution

Problem 19513

What was the initial population of a Texas town modeled by $f(x)=10,906(1.032)^{x}$ on January 1, 2013?

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Problem 19514

Determine if the polynomial $3 x(x^{2}+5 x-24)(2 x+1)$ is in factored, standard, or mixed form.

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Problem 19515

Calculate the product: $0.2 \times 0.8=$

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Problem 19516

Calculate $7,854 \div 21$ .

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Problem 19517

Determine if the polynomial $x + 9 \cdot (x^{2} \cdot 5x + 4)$ is in factored, standard, or mixed form.

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Problem 19518

Solve the equations: $2^{x+1}-3^{y+1}=4$ and $2^{2(x+1)}-3^{2(y+1)}=64$ to three significant figures.

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Problem 19519

Calculate $0.085631 \times 1.32$ and round the result to the correct number of significant figures.

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Problem 19520

Solve: $\frac{5}{8} \div \frac{3}{4}$

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Problem 19521

Solve: $26.04 \div -6.2$

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Problem 19522

Determine the form of the polynomial: $(x+2) 7 x(x+1) 3 x^{4}(x-8)$ (factored, standard, or mixed).

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Problem 19523

Find the intercepts of the line given by $y-3=5(x-2)$ . $y$ -intercept: $(\quad, \quad)$ , $x$ -intercept: $(, \quad)$ .

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Problem 19524

Find the intercepts of the line given by $y=-9x-14$ . $x$ -intercept: $(\quad, \quad)$ , $y$ -intercept:

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Problem 19525

Find $\tan (\theta)$ given $\sin (\theta)<0$ and $\sec (\theta)=\frac{\sqrt{35}}{4}$ . Provide the exact answer.

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Problem 19526

Solve $\cos \left(\frac{x}{2}\right)=-\frac{\sqrt{3}}{2}$ for $x$ in $[0,2\pi)$ . Provide exact radian solutions.

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Problem 19527

Check if the following expressions are equivalent by rewriting them: 1) $7 n(3 n+1)$ 2) $x^{2}-25$ 3) $(4 w+2)^{2}$

See Solution

Problem 19528

Simplify: $4|6-7|-27 \div 3 =$

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Problem 19529

Simplify the expression: $|-4-2|(-7)+2^{2}$ . What is the result?

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Problem 19530

Find the inverse function $f^{-1}$ of $f(x)=\left(x^{4}+4\right)^{-1}$ for $x \in (-\infty, 0]$ .

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Problem 19531

Simplify the expression: $9 - 2^{2} + 3 - (7 - 9) =$ (Provide your answer.)

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Problem 19532

Solve $\cos \left(\frac{x}{2}\right)=\frac{1}{2}$ for $x$ in $[0,2 \pi)$ , and give the answer in exact radians.

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Problem 19533

Find the set of numbers that are both rational and irrational. Choose the correct set: A. $\varnothing$ B. $\{0\}$ C. $\{\sqrt{x}, \sqrt{-x}\}$ D. $\{0,1,2,3,4,5, \ldots\}$

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Problem 19534

Factor the expression: $14ab - 2a + 21b - 3$ into the form $(?a + [])(?b - [])$ .

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Problem 19535

Is the function $f(x)$ , defined as $f(x)=\ln \frac{\sqrt{x+4}-1}{3+x}$ for $x \neq -3$ and $f(-3)=2$ , continuous at $x=-3$ ?

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Problem 19536

Is the function $f(x) = \sqrt{x^{2}-4}$ continuous at $x=0$ ?

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Problem 19537

Find the axis of symmetry for $f(x)=x^{2}+3x+6$ using $x=\frac{-b}{2a}$ . What is $x=[?] \frac{[]}{[]}$ ?

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Problem 19538

Which graph has the narrowest parabola: $y=-2x^{2}+x+3$ or $f(x)=-4x^{2}-30x$ ?

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Problem 19539

Check if the function $f(x)=\begin{cases} e^{x /(x+1)} & \text{if } x \neq-1 \\ e^{-1} & \text{if } x=-1 \end{cases}$ is continuous at $x=-1$ .

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Problem 19540

Is the piecewise function $f(x)=\begin{cases} \sqrt{x^{2}} & \text{if } x \geqslant-3 \\ -3 & \text{if } x<-3 \end{cases}$ continuous at $x=-3$ ?

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Problem 19541

Is the function $f(x)=\frac{1}{x+1}$ continuous at $x=c$ for $c=1$ ?

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Problem 19542

Is the function $f(x)=\left\{\begin{array}{ll}\frac{\sin x}{x} & \text { if } x \neq 0 \\ 1 & \text { if } x=0\end{array}\right.$ continuous at $x=0$ ?

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Problem 19543

Convert $0.0001 \mathrm{dg}$ to $\mathrm{pg}$ .

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Problem 19544

Convert $9.87 \times 10^{-30} \mathrm{ml}$ to $\mathrm{Tl}$ .

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Problem 19545

Find the inverse function $f^{-1}$ for $f(x)=\left(x^{8}+1\right)^{-1}, \quad(-\infty, 0]$ .

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Problem 19546

Is the function $f(x)$ continuous at $x=-1$ , where $f(x)=|x+2|$ if $x \neq -1$ and $f(-1)=-1$ ?

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Problem 19547

Is the function $f(x)=\tan \left(\frac{2}{\pi} x\right)$ continuous at $x=c$ , where $c=\frac{\pi}{2}$ ?

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Problem 19548

Is the function $f(x)=\left\{\begin{array}{ll}\frac{1}{\ln \sqrt{x}-\pi / 2} & \text { if } x>e^{\pi} \\ 0 & \text { if } x \leqslant e^{\pi}\end{array}\right.$ continuous at $x=e^{\pi}$ ?

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Problem 19549

Find the value of $f(x)=5 \sin^{-1}(\sin(x)) + 3 \cos^{-1}(\sin(4x))$ at $x=\frac{\pi}{3}$ .

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Problem 19550

Find the value of $\sin ^{-1}\left[\sin \left(-\frac{7 \pi}{6}\right)\right]$ without a calculator.

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Problem 19551

Simplify $\cot \left(\sin ^{-1}(x)\right)$ using a triangle or trigonometric identity, assuming $x > 0$ .

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Problem 19552

Find the value of the trigonometric expression: $\tan \left[\sec ^{-1}(-5)\right]$ .

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Problem 19553

Check if the function $f(x)$ is continuous at $x=0$ , where $f(x)=\begin{cases}\arctan \frac{1}{x} & \text{if } x>0 \\ x+\frac{\pi}{2} & \text{if } x \leq 0\end{cases}$ .

See Solution

Problem 19554

Convert $0.0001 \mathrm{dg}$ to picograms (pg) using the SI unit conversion method.

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Problem 19555

Is the function $f(x)=e^{\ln x}$ continuous at $x=0$ ?

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Problem 19556

Find the value of $\cos \left(\cot ^{-1}(10)\right)$ using trigonometric identities.

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Problem 19557

Is the piecewise function $f(x)=\left\{\begin{array}{ll} 2|x| & \text{if } x \geqslant -2 \\ 2x & \text{if } x < -2 \end{array}\right.$ continuous at $x=c$ , where $c=-2$ ?

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Problem 19558

Find the largest domain for which $f(x)=9-x$ is one-to-one, then provide the inverse function for that domain. Use interval notation.

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Problem 19559

Is the function $f(x)=\left\{\begin{array}{ll}\sqrt{\sin ^{2} x+\cos ^{2} x} & \text { if } x>1 \\ 1 & \text { if } x \leqslant 1\end{array}\right.$ continuous at $x=1$ ?

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Problem 19560

Is the function $f(x)=\left\{\begin{array}{ll}\frac{\sqrt{x+4}-2}{x} & \text { if } x>0 \\ x-0.25 & \text { if } x \leqslant 0\end{array}\right.$ continuous at $x = c$ ? Explain.

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Problem 19561

Check if the function $f(x)=\begin{cases} \frac{\sqrt{x+4}-2}{x} & \text{if } x > 0 \\ x-0.25 & \text{if } x \leq 0 \end{cases}$ is continuous at $x=0$ .

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Problem 19562

Find the value of $c$ for the piecewise function $f(x)=\{2x+c, x \leq 1; x^2+3, x>1\}$ to be continuous.

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Problem 19563

Solve for $a \times d$ given $\frac{a+4}{a-4}=\frac{b+5}{b-5}=\frac{c+7}{c-7}=\frac{d+9}{d-9}$ and $a+b+c+d=125$ .

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Problem 19564

Resuelve: $\frac{a+4}{a-4}=\frac{b+5}{b-5}=\frac{c+7}{c-7}=\frac{d+9}{d-9}$ y $a+b+c+d=125$ ; halla el «axd».

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Problem 19565

Solve for $y$ in the equation $3y + \frac{7}{3} = \frac{43}{3}$ .

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Problem 19566

Simplify the expression $\left(a \beta^{3}\right)\left(a^{-2} \beta^{4}\right)^{5}$ .

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Problem 19567

Solve for $x$ in the equation: $18 = 6 \times x$ . What is $x$ ?

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Problem 19568

Solve the equations: $T-4-25=$ , $37-12=$ , $17-18=$ , $10-2=$ , $-11+4=$ , $-30-20=$ , $-1+8=$ .

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Problem 19569

Solve for $k$ in the equation: $-10 k + 1 = 40 - 7 k$ .

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Problem 19570

Solve for $a$ in the equation: $-16-7(2 a+3)=23-2 a$ .

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Problem 19571

Solve the equation $2(4w - 1) = -10(w - 3) + 4$ .

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Problem 19572

Solve the equation: $5x - (x - 18) = 6 - 2(x + 15)$ .

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Problem 19573

Solve the equation $8(y+4)-2(y-1)=70-3y$ .

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Problem 19574

Solve the equation: $8(5x - 3) = 6(-3x - 4)$ .

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Problem 19575

Solve the equation: $3(2x + 2) - 3x = 6 + 3x$ .

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Problem 19576

Solve the equation: $6(2 x-6)=-7(-2 x+4)$ .

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Problem 19577

Solve for $h$ in the equation: $11 h - (2 h - 1) = 118$ .

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Problem 19578

Solve the equation: $3x - 13 = 7(x + 2) - 4(x - 7)$ .

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Problem 19579

Find the inverse of the function $f(x)=3(4 x-1)^{1/3}$ .

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Problem 19580

Solve for $x$ in the equation $-25=\frac{1}{2}(10 x-2)+3 x$ .

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Problem 19581

Solve the equation $x^{2}+8x+5=0$ by completing the square.

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Problem 19582

Solve the equation $x^{2}+7x-3=0$ .

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Problem 19583

Solve the following by completing the square: (a) $x^{2}+8x+5=0$ , (c) $x^{2}-11x-7=0$ .

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Problem 19584

Solve the equation $x^{2}-11 x-7=0$ .

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Problem 19585

Solve the equation $x^{2}+1.2 x=1$ .

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Problem 19586

Calculate $10 \times 10$ using the equation: $C \times 10 + - \times 10 = 10 \times 10$ . What is $10 \times 10$ ?

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Problem 19587

Is $g(x)=\frac{2-x^{5}}{5}$ a polynomial? Choose A (degree), B (not nonnegative integer), or C (ratio of polynomials).

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Problem 19588

Determine if $f(x)=5x+x^{2}$ is a polynomial. Choose: A. Not a polynomial, B. Polynomial of degree, C. No constant term.

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Problem 19589

Determine if $g(x)=\frac{2-x^{5}}{5}$ is a polynomial. Choose A, B, or C and complete if needed.

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Problem 19590

Determine if $f(x)=9-\frac{6}{x^{3}}$ is a polynomial. Choose A (not a polynomial) or B (is a polynomial) and explain.

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Problem 19591

Determine if $f(x)=9-\frac{6}{x^{3}}$ is a polynomial. If yes, state the degree; if no, explain why.

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Problem 19592

Find the value of $O \Delta \Delta O \Delta$ given the equations: $00000=0$ , $0000 \Delta=10$ , $000 \Delta O=20$ , $000 \Delta \Delta=30$ , $00 \Delta O \Delta=50$ , $00 \Delta \Delta O=60$ .

See Solution

Problem 19593

ก. แก้สมการ $2 x+3=12$ ฝ. แก้สมการ $2 x-3=11$

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Problem 19594

Find the value of $3^{-2}$ . A. $\frac{1}{9}$ B. -6 C. $-\frac{1}{9}$ D. -9

See Solution

Problem 19595

Calculate $60 \div 2(3+7)$ .

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Problem 19596

Simplify $2^{3} \cdot 2^{7}$ . Options: A. $2^{21}$ B. $2^{9}$ C. $2^{-4}$ D. $2^{10}$

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Problem 19597

Evaluate $-7^{-3} \cdot 7^{5}$ . Choose the correct answer: A. $-\frac{1}{49}$ B. 49 C. $\frac{1}{49}$ D. -49

See Solution

Problem 19598

Simplify $12^{2} \cdot 12^{3}$ . Options: A. $12^{5}$ B. $12^{6}$ C. $144^{5}$ D. $24^{5}$

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Problem 19599

Solve for $x$ in the equation: $\frac{1}{x^{2}}=\frac{1}{5^{2}}+\frac{1}{7^{2}}$ .

See Solution

Problem 19600

Solve the equation $4x - 5y = 20$ for $y$ in terms of $x$ .

See Solution

1 ...193 194 195 196 197 198 199 ...269

Math Statement

Problem 19501

Calculate 5,621÷205,621 \div 205,621÷20.

Problem 19502

Simplify (−4x2y2)2\left(\frac{-4 x^{2}}{y^{2}}\right)^{2}(y2−4x2​)2 using exponent properties and show only positive exponents.

Problem 19503

Find the initial total sales of a spy novel modeled by f(x)=18,245(1.021)xf(x)=18,245(1.021)^{x}f(x)=18,245(1.021)x when x=0x=0x=0.

Problem 19504

Simplify the expression: −2(6xy2)0-2(6xy^2)^0−2(6xy2)0 and use only positive exponents in your answer.

Problem 19505

Simplify the expression −2(3m−2n2)−1-2\left(3 m^{-2} n^{2}\right)^{-1}−2(3m−2n2)−1 using exponent rules and show only positive exponents.

Problem 19506

Solve 4lg⁡2=(19x)lg⁡44^{\lg 2}=\left(\frac{1}{9 x}\right)^{\lg 4}4lg2=(9x1​)lg4 without a calculator.

Problem 19507

Find the intensity, III, of an earthquake with a magnitude of 6.7 using R=log⁡(I1)R=\log \left(\frac{I}{1}\right)R=log(1I​). Round to the nearest whole number.

Problem 19508

Find the equation of the line parallel to 12x−18y=−3612 x-18 y=-3612x−18y=−36 that goes through the point P(−3,−6)P(-3,-6)P(−3,−6).

Problem 19509

Find the total sales of a strategy game on January 1, 2030, using f(x)=10,333(1.046)xf(x)=10,333(1.046)^{x}f(x)=10,333(1.046)x with x=17x=17x=17.

Problem 19510

Find the frequency of note A# (1 half step above A3 at 220 Hz) using the formula F(x)=F0(1.059463)xF(x)=F_{0}(1.059463)^{x}F(x)=F0​(1.059463)x. Round to the nearest whole number.

Problem 19511

Is it true or false that if the product of a point's coordinates is positive, the point is in quadrant I?

Problem 19512

Find the intensity III of an earthquake with a magnitude of 4.5 using R=log⁡(I1)R=\log \left(\frac{I}{1}\right)R=log(1I​). Round to the nearest whole number.

Problem 19513

What was the initial population of a Texas town modeled by f(x)=10,906(1.032)xf(x)=10,906(1.032)^{x}f(x)=10,906(1.032)x on January 1, 2013?

Problem 19514

Determine if the polynomial 3x(x2+5x−24)(2x+1)3 x(x^{2}+5 x-24)(2 x+1)3x(x2+5x−24)(2x+1) is in factored, standard, or mixed form.

Problem 19515

Calculate the product: 0.2×0.8=0.2 \times 0.8=0.2×0.8=

Problem 19516

Calculate 7,854÷217,854 \div 217,854÷21.

Problem 19517

Determine if the polynomial x+9⋅(x2⋅5x+4)x + 9 \cdot (x^{2} \cdot 5x + 4)x+9⋅(x2⋅5x+4) is in factored, standard, or mixed form.

Problem 19518

Solve the equations: 2x+1−3y+1=42^{x+1}-3^{y+1}=42x+1−3y+1=4 and 22(x+1)−32(y+1)=642^{2(x+1)}-3^{2(y+1)}=6422(x+1)−32(y+1)=64 to three significant figures.

Problem 19519

Calculate 0.085631×1.320.085631 \times 1.320.085631×1.32 and round the result to the correct number of significant figures.

Problem 19520

Solve: 58÷34\frac{5}{8} \div \frac{3}{4}85​÷43​

Problem 19521

Solve: 26.04÷−6.226.04 \div -6.226.04÷−6.2

Problem 19522

Determine the form of the polynomial: (x+2)7x(x+1)3x4(x−8)(x+2) 7 x(x+1) 3 x^{4}(x-8)(x+2)7x(x+1)3x4(x−8) (factored, standard, or mixed).

Problem 19523

Find the intercepts of the line given by y−3=5(x−2)y-3=5(x-2)y−3=5(x−2). yyy-intercept: (,)(\quad, \quad)(,), xxx-intercept: (,)(, \quad)(,).

Problem 19524

Find the intercepts of the line given by y=−9x−14y=-9x-14y=−9x−14. xxx-intercept: (,)(\quad, \quad)(,), yyy-intercept:

Problem 19525

Find tan⁡(θ)\tan (\theta)tan(θ) given sin⁡(θ)<0\sin (\theta)<0sin(θ)<0 and sec⁡(θ)=354\sec (\theta)=\frac{\sqrt{35}}{4}sec(θ)=435​​. Provide the exact answer.

Problem 19526

Solve cos⁡(x2)=−32\cos \left(\frac{x}{2}\right)=-\frac{\sqrt{3}}{2}cos(2x​)=−23​​ for xxx in [0,2π)[0,2\pi)[0,2π). Provide exact radian solutions.

Problem 19527

Check if the following expressions are equivalent by rewriting them: 1) 7n(3n+1)7 n(3 n+1)7n(3n+1) 2) x2−25x^{2}-25x2−25 3) (4w+2)2(4 w+2)^{2}(4w+2)2

Problem 19528

Simplify: 4∣6−7∣−27÷3=4|6-7|-27 \div 3 = 4∣6−7∣−27÷3=

Problem 19529

Simplify the expression: ∣−4−2∣(−7)+22|-4-2|(-7)+2^{2}∣−4−2∣(−7)+22. What is the result?

Problem 19530

Find the inverse function f−1f^{-1}f−1 of f(x)=(x4+4)−1f(x)=\left(x^{4}+4\right)^{-1}f(x)=(x4+4)−1 for x∈(−∞,0]x \in (-\infty, 0]x∈(−∞,0].

Problem 19531

Simplify the expression: 9−22+3−(7−9)=9 - 2^{2} + 3 - (7 - 9) = 9−22+3−(7−9)= (Provide your answer.)

Problem 19532

Solve cos⁡(x2)=12\cos \left(\frac{x}{2}\right)=\frac{1}{2}cos(2x​)=21​ for xxx in [0,2π)[0,2 \pi)[0,2π), and give the answer in exact radians.

Problem 19533

Find the set of numbers that are both rational and irrational. Choose the correct set: A. ∅\varnothing∅ B. {0}\{0\}{0} C. {x,−x}\{\sqrt{x}, \sqrt{-x}\}{x​,−x​} D. {0,1,2,3,4,5,…}\{0,1,2,3,4,5, \ldots\}{0,1,2,3,4,5,…}

Problem 19534

Factor the expression: 14ab−2a+21b−314ab - 2a + 21b - 314ab−2a+21b−3 into the form (?a+[])(?b−[])(?a + [])(?b - [])(?a+[])(?b−[]).

Problem 19535

Is the function f(x)f(x)f(x), defined as f(x)=ln⁡x+4−13+xf(x)=\ln \frac{\sqrt{x+4}-1}{3+x}f(x)=ln3+xx+4​−1​ for x≠−3x \neq -3x=−3 and f(−3)=2f(-3)=2f(−3)=2, continuous at x=−3x=-3x=−3?

Problem 19536

Is the function f(x)=x2−4f(x) = \sqrt{x^{2}-4}f(x)=x2−4​ continuous at x=0x=0x=0?

Problem 19537

Find the axis of symmetry for f(x)=x2+3x+6f(x)=x^{2}+3x+6f(x)=x2+3x+6 using x=−b2ax=\frac{-b}{2a}x=2a−b​. What is x=[?][][]x=[?] \frac{[]}{[]}x=[?][][]​?

Problem 19538

Which graph has the narrowest parabola: y=−2x2+x+3y=-2x^{2}+x+3y=−2x2+x+3 or f(x)=−4x2−30xf(x)=-4x^{2}-30xf(x)=−4x2−30x?

Problem 19539

Check if the function f(x)={ex/(x+1)if x≠−1e−1if x=−1f(x)=\begin{cases} e^{x /(x+1)} & \text{if } x \neq-1 \\ e^{-1} & \text{if } x=-1 \end{cases}f(x)={ex/(x+1)e−1​if x=−1if x=−1​ is continuous at x=−1x=-1x=−1.

Problem 19540

Calculate $5,621 \div 20$ .

Simplify $\left(\frac{-4 x^{2}}{y^{2}}\right)^{2}$ using exponent properties and show only positive exponents.

Find the initial total sales of a spy novel modeled by $f(x)=18,245(1.021)^{x}$ when $x=0$ .

Simplify the expression: $-2(6xy^2)^0$ and use only positive exponents in your answer.

Simplify the expression $-2\left(3 m^{-2} n^{2}\right)^{-1}$ using exponent rules and show only positive exponents.

Solve $4^{\lg 2}=\left(\frac{1}{9 x}\right)^{\lg 4}$ without a calculator.

Find the intensity, $I$ , of an earthquake with a magnitude of 6.7 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

Find the equation of the line parallel to $12 x-18 y=-36$ that goes through the point $P(-3,-6)$ .

Find the total sales of a strategy game on January 1, 2030, using $f(x)=10,333(1.046)^{x}$ with $x=17$ .

Find the frequency of note A# (1 half step above A3 at 220 Hz) using the formula $F(x)=F_{0}(1.059463)^{x}$ . Round to the nearest whole number.

Find the intensity $I$ of an earthquake with a magnitude of 4.5 using $R=\log \left(\frac{I}{1}\right)$ . Round to the nearest whole number.

What was the initial population of a Texas town modeled by $f(x)=10,906(1.032)^{x}$ on January 1, 2013?

Determine if the polynomial $3 x(x^{2}+5 x-24)(2 x+1)$ is in factored, standard, or mixed form.

Calculate the product: $0.2 \times 0.8=$

Calculate $7,854 \div 21$ .

Determine if the polynomial $x + 9 \cdot (x^{2} \cdot 5x + 4)$ is in factored, standard, or mixed form.

Solve the equations: $2^{x+1}-3^{y+1}=4$ and $2^{2(x+1)}-3^{2(y+1)}=64$ to three significant figures.

Calculate $0.085631 \times 1.32$ and round the result to the correct number of significant figures.

Solve: $\frac{5}{8} \div \frac{3}{4}$

Solve: $26.04 \div -6.2$

Determine the form of the polynomial: $(x+2) 7 x(x+1) 3 x^{4}(x-8)$ (factored, standard, or mixed).

Find the intercepts of the line given by $y-3=5(x-2)$ . $y$ -intercept: $(\quad, \quad)$ , $x$ -intercept: $(, \quad)$ .

Find the intercepts of the line given by $y=-9x-14$ . $x$ -intercept: $(\quad, \quad)$ , $y$ -intercept:

Find $\tan (\theta)$ given $\sin (\theta)<0$ and $\sec (\theta)=\frac{\sqrt{35}}{4}$ . Provide the exact answer.

Solve $\cos \left(\frac{x}{2}\right)=-\frac{\sqrt{3}}{2}$ for $x$ in $[0,2\pi)$ . Provide exact radian solutions.

Check if the following expressions are equivalent by rewriting them: 1) $7 n(3 n+1)$ 2) $x^{2}-25$ 3) $(4 w+2)^{2}$

Simplify: $4|6-7|-27 \div 3 =$

Simplify the expression: $|-4-2|(-7)+2^{2}$ . What is the result?

Find the inverse function $f^{-1}$ of $f(x)=\left(x^{4}+4\right)^{-1}$ for $x \in (-\infty, 0]$ .

Simplify the expression: $9 - 2^{2} + 3 - (7 - 9) =$ (Provide your answer.)

Solve $\cos \left(\frac{x}{2}\right)=\frac{1}{2}$ for $x$ in $[0,2 \pi)$ , and give the answer in exact radians.

Find the set of numbers that are both rational and irrational. Choose the correct set: A. $\varnothing$ B. $\{0\}$ C. $\{\sqrt{x}, \sqrt{-x}\}$ D. $\{0,1,2,3,4,5, \ldots\}$

Factor the expression: $14ab - 2a + 21b - 3$ into the form $(?a + [])(?b - [])$ .

Is the function $f(x)$ , defined as $f(x)=\ln \frac{\sqrt{x+4}-1}{3+x}$ for $x \neq -3$ and $f(-3)=2$ , continuous at $x=-3$ ?

Is the function $f(x) = \sqrt{x^{2}-4}$ continuous at $x=0$ ?

Find the axis of symmetry for $f(x)=x^{2}+3x+6$ using $x=\frac{-b}{2a}$ . What is $x=[?] \frac{[]}{[]}$ ?

Which graph has the narrowest parabola: $y=-2x^{2}+x+3$ or $f(x)=-4x^{2}-30x$ ?

Check if the function $f(x)=\begin{cases} e^{x /(x+1)} & \text{if } x \neq-1 \\ e^{-1} & \text{if } x=-1 \end{cases}$ is continuous at $x=-1$ .

Is the piecewise function $f(x)=\begin{cases} \sqrt{x^{2}} & \text{if } x \geqslant-3 \\ -3 & \text{if } x<-3 \end{cases}$ continuous at $x=-3$ ?

Is the function $f(x)=\frac{1}{x+1}$ continuous at $x=c$ for $c=1$ ?

Is the function $f(x)=\left\{\begin{array}{ll}\frac{\sin x}{x} & \text { if } x \neq 0 \\ 1 & \text { if } x=0\end{array}\right.$ continuous at $x=0$ ?

Convert $0.0001 \mathrm{dg}$ to $\mathrm{pg}$ .

Convert $9.87 \times 10^{-30} \mathrm{ml}$ to $\mathrm{Tl}$ .

Find the inverse function $f^{-1}$ for $f(x)=\left(x^{8}+1\right)^{-1}, \quad(-\infty, 0]$ .

Is the function $f(x)$ continuous at $x=-1$ , where $f(x)=|x+2|$ if $x \neq -1$ and $f(-1)=-1$ ?

Is the function $f(x)=\tan \left(\frac{2}{\pi} x\right)$ continuous at $x=c$ , where $c=\frac{\pi}{2}$ ?

Is the function $f(x)=\left\{\begin{array}{ll}\frac{1}{\ln \sqrt{x}-\pi / 2} & \text { if } x>e^{\pi} \\ 0 & \text { if } x \leqslant e^{\pi}\end{array}\right.$ continuous at $x=e^{\pi}$ ?

Find the value of $f(x)=5 \sin^{-1}(\sin(x)) + 3 \cos^{-1}(\sin(4x))$ at $x=\frac{\pi}{3}$ .

Find the value of $\sin ^{-1}\left[\sin \left(-\frac{7 \pi}{6}\right)\right]$ without a calculator.

Simplify $\cot \left(\sin ^{-1}(x)\right)$ using a triangle or trigonometric identity, assuming $x > 0$ .

Find the value of the trigonometric expression: $\tan \left[\sec ^{-1}(-5)\right]$ .

Check if the function $f(x)$ is continuous at $x=0$ , where $f(x)=\begin{cases}\arctan \frac{1}{x} & \text{if } x>0 \\ x+\frac{\pi}{2} & \text{if } x \leq 0\end{cases}$ .

Convert $0.0001 \mathrm{dg}$ to picograms (pg) using the SI unit conversion method.

Is the function $f(x)=e^{\ln x}$ continuous at $x=0$ ?

Find the value of $\cos \left(\cot ^{-1}(10)\right)$ using trigonometric identities.

Is the piecewise function $f(x)=\left\{\begin{array}{ll} 2|x| & \text{if } x \geqslant -2 \\ 2x & \text{if } x < -2 \end{array}\right.$ continuous at $x=c$ , where $c=-2$ ?

Find the largest domain for which $f(x)=9-x$ is one-to-one, then provide the inverse function for that domain. Use interval notation.

Is the function $f(x)=\left\{\begin{array}{ll}\sqrt{\sin ^{2} x+\cos ^{2} x} & \text { if } x>1 \\ 1 & \text { if } x \leqslant 1\end{array}\right.$ continuous at $x=1$ ?

Is the function $f(x)=\left\{\begin{array}{ll}\frac{\sqrt{x+4}-2}{x} & \text { if } x>0 \\ x-0.25 & \text { if } x \leqslant 0\end{array}\right.$ continuous at $x = c$ ? Explain.

Check if the function $f(x)=\begin{cases} \frac{\sqrt{x+4}-2}{x} & \text{if } x > 0 \\ x-0.25 & \text{if } x \leq 0 \end{cases}$ is continuous at $x=0$ .

Find the value of $c$ for the piecewise function $f(x)=\{2x+c, x \leq 1; x^2+3, x>1\}$ to be continuous.

Solve for $a \times d$ given $\frac{a+4}{a-4}=\frac{b+5}{b-5}=\frac{c+7}{c-7}=\frac{d+9}{d-9}$ and $a+b+c+d=125$ .

Resuelve: $\frac{a+4}{a-4}=\frac{b+5}{b-5}=\frac{c+7}{c-7}=\frac{d+9}{d-9}$ y $a+b+c+d=125$ ; halla el «axd».

Solve for $y$ in the equation $3y + \frac{7}{3} = \frac{43}{3}$ .

Simplify the expression $\left(a \beta^{3}\right)\left(a^{-2} \beta^{4}\right)^{5}$ .

Solve for $x$ in the equation: $18 = 6 \times x$ . What is $x$ ?

Solve the equations: $T-4-25=$ , $37-12=$ , $17-18=$ , $10-2=$ , $-11+4=$ , $-30-20=$ , $-1+8=$ .

Solve for $k$ in the equation: $-10 k + 1 = 40 - 7 k$ .

Solve for $a$ in the equation: $-16-7(2 a+3)=23-2 a$ .

Solve the equation $2(4w - 1) = -10(w - 3) + 4$ .

Solve the equation: $5x - (x - 18) = 6 - 2(x + 15)$ .

Solve the equation $8(y+4)-2(y-1)=70-3y$ .

Solve the equation: $8(5x - 3) = 6(-3x - 4)$ .