Math Statement

Problem 18301

Simplify the expression $\frac{x^{-\frac{1}{3}}}{x^{-\frac{4}{7}}}$ using only positive exponents.

See Solution

Problem 18302

Simplify: $4 \sqrt{48} \times \sqrt{98}$ .

See Solution

Problem 18303

Simplify: $\sqrt{50}+2 \sqrt{98}$

See Solution

Problem 18304

Simplify $\sqrt{18} \times 2 \sqrt{98}$ .

See Solution

Problem 18305

Simplify: $\sqrt{54} \times 4 \sqrt{48}$

See Solution

Problem 18306

Simplify the expression: $\sqrt{32} \times 2 \sqrt{50}$ .

See Solution

Problem 18307

Evaluate $\cot \frac{\pi}{9}$ using a calculator. What is $\cot \frac{\pi}{9} \approx$ ?

See Solution

Problem 18308

Evaluate $\cot 86^{\circ}$ using a calculator and round the final answer to four decimal places.

See Solution

Problem 18309

Evaluate $\cos 69^{\circ}$ using a calculator. Round the answer to four decimal places.

See Solution

Problem 18310

Evaluate $\cos \frac{\pi}{4}$ using special right triangles and simplify your answer.

See Solution

Problem 18311

Evaluate $\cot \frac{\pi}{3}$ using special right triangles. Simplify your answer with integers or fractions.

See Solution

Problem 18312

Find the value of $\tan \frac{\pi}{8} \cot \frac{3 \pi}{8} - \sec \frac{\pi}{8} \csc \frac{3 \pi}{8}$ .

See Solution

Problem 18313

Rewrite $\cos \left(90^{\circ}-\theta\right) \cot \theta$ using one of the six trigonometric functions of angle $\theta$ . $\cos \left(90^{\circ}-\theta\right) \cot \theta=$

See Solution

Problem 18314

Find the common difference and the 20th term of the sequence: 1, 2, 5, 8, 11, ...; use $a_{20}$ .

See Solution

Problem 18315

Find the common difference and the 20th term of the sequence: $2, 5, 8, 11, \ldots$

See Solution

Problem 18316

Find the six trigonometric functions of $t$ for the point $\left(-\frac{\sqrt{3}}{5},-\frac{\sqrt{22}}{5}\right)$ on the unit circle.

See Solution

Problem 18317

Find the GCF of 48 and 30, then express $48 + 30$ as $GCF \cdot (a + b)$ .

See Solution

Problem 18318

Решите уравнения: 1) $4-6(x+2)=3-5x$ ; 2) $(3x-20)(4x+28)(0,2-0,06x)=0$ ; 3) $\frac{x+2}{5}-\frac{x+6}{30}=\frac{x+4}{10}+\frac{x-5}{15}$ .

See Solution

Problem 18319

Based on the equation $C=\frac{5}{9}(F-32)$ , which statements about temperature changes are true? A) I only B) II only C) III only D) I and II only

See Solution

Problem 18320

If $3x - y = 12$ , find the value of $\frac{8^x}{2^y}$ . A) $2^{12}$ B) $4^{4}$ C) $8^{2}$ D) Cannot determine.

See Solution

Problem 18321

Identify which equation does not define a trigonometric function for a point $P(x, y)$ on the unit circle: A. $\cot t=\frac{y}{x}, x \neq 0$ B. $\csc t=\frac{1}{y}, y \neq 0$ C. $\cos t=x$ D. $\sec t=\frac{1}{x}, x \neq 0$

See Solution

Problem 18322

Combine the terms in the expression: $-3x + y - y + 7x$ . What is the simplified result?

See Solution

Problem 18323

Simplify the expression $x + 5y + 3x$ .

See Solution

Problem 18324

Simplify the expression $-2x - 3y + 4x + 5yi$ .

See Solution

Problem 18325

Simplify the expression: $-2 x + (-3 y) - (-4 x) + 5 y$ .

See Solution

Problem 18326

Simplify the expression: $-3 x(-2 y - 5 z + 3 z)$ .

See Solution

Problem 18327

Find the acute angle $\theta$ such that $\sec \theta=2$ . Solve for $\theta$ in radians. $\theta=$

See Solution

Problem 18328

Choose the incorrect statement given $i>0, j>0, k>0$ : a. If $i>j$ then $i+k>j+k$ b. If $i<j$ then $j>i$ c. If $i>j$ then $i \times k>j \times k$ d. If $j<i$ and $i<k$ then $k<j$

See Solution

Problem 18329

Evaluate the expression using special right triangles: $\frac{\csc ^{2} 45^{\circ}+\tan ^{2} 60^{\circ}}{\cot ^{2} 30^{\circ}}$ Simplify your answer with integers or fractions.

See Solution

Problem 18330

Find $\lim _{x \rightarrow 0} \frac{3 x^{2}-\sin 2 x}{2 x-\sin 3 x}$ . What is the result? A) -1 B) 0 C) 2 D) Does not exist.

See Solution

Problem 18331

Solve for $x$ in the equation $2 - \frac{x}{2} + 20 = 0$ .

See Solution

Problem 18332

Find the limit: $\lim _{x \rightarrow 3^{-}} \frac{2-x}{x-3}$ . What is the result? A) $-\infty$ B) $+\infty$ C) 0 D) 1

See Solution

Problem 18333

Solve the equation $\frac{x}{2}+20=0$ for $x$ .

See Solution

Problem 18334

Solve the equation: $2 x^{2}-10 x=0$ for the variable $x$ .

See Solution

Problem 18335

Solve the equation $x^{2}+2x=5x$ .

See Solution

Problem 18336

Find $a_{23}$ given $a_{1}=-5$ and $d=4$ .

See Solution

Problem 18337

Find the linear function $f$ such that $f\left(\frac{3}{5}\right)=\frac{1}{2}$ and $f(2)=4$ .

See Solution

Problem 18338

Find $a_{71}$ using $a_{1}=0.1$ and common difference $d=-2$ .

See Solution

Problem 18339

Evaluate the expression using special right triangles:
$\frac{\sec ^{2} \frac{\pi}{3}+\tan ^{2} \frac{\pi}{4}}{\cot ^{2} \frac{\pi}{6}}=$
Simplify your answer, including radicals.

See Solution

Problem 18340

Find the limit: $\lim _{x \rightarrow 0} \frac{4 \sin x}{2-2 \cos x}$ . What is the result? A) 2 B) $\pi$ C) 0 D) does not exist.

See Solution

Problem 18341

Choose the false statement about polynomials:
1. Number of terms = monomials.
2. Trinomial has three terms.
3. Number of terms = highest exponent.

See Solution

Problem 18342

Find the value of $\sec \frac{\pi}{12} \csc \frac{5 \pi}{12}-\tan \frac{\pi}{12} \cot \frac{5 \pi}{12}$ .

See Solution

Problem 18343

Find $a_{18}$ in an arithmetic sequence with $a_{1}=\frac{1}{3}$ and common difference $c=3$ .

See Solution

Problem 18344

Find $a_{18}$ given $a_{1}=\frac{1}{3}$ and common difference $d=3$ .

See Solution

Problem 18345

Rewrite the expression $\frac{\sin ^{2} \theta+\cot ^{2} \theta+\cos ^{2} \theta}{\csc \theta}$ using basic trig identities.

See Solution

Problem 18346

Find $\lim _{x \rightarrow c}[2 f(x)+3 g(x)]$ given $\lim _{x \rightarrow c} f(x)=\frac{-2}{3}$ and $\lim _{x \rightarrow c} g(x)=\frac{5}{4}$ .

See Solution

Problem 18347

Determine which statement about the function $f(x)=\left\{\begin{array}{cr}|x-3| & x<0 \\ 6-3 x & 0 \leq x<3 \\ -(x-3)^{2} & x \geq 3\end{array}\right.$ is false: A) $\lim _{x \rightarrow 2} f(x)=0$ B) $\lim _{x \rightarrow 3^{-}} f(x)=-3$ C) $\lim _{x \rightarrow 0^{-}} f(x)=6$ D) $\lim _{x \rightarrow 3^{+}} f(x)=0$

See Solution

Problem 18348

Calculate $\cos 66^{\circ}$ and round your answer to four decimal places.

See Solution

Problem 18349

Find the roots of the equation $2x^3 + x^2 - 4 = 0$ .

See Solution

Problem 18350

Find the equivalent polynomial for $(-3 n+1)^{2}$ . Options: -9 n^{2}-6 n+1, -9 n^{2}+1, 9 n^{2}-6 n+1, 9 n^{2}+1.

See Solution

Problem 18351

Calculate: $14 \div\left[2^{2} \div(8-6)\right]-(-4)$ .

See Solution

Problem 18352

Convert $6.34 \times 10^{9}$ into standard form.

See Solution

Problem 18353

Convert $6.34 \times 10^{9}$ into standard decimal form.

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Problem 18354

Simplify the expression: $3x + 3x$ .

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Problem 18355

Calculate: $562 \times 19 =$

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Problem 18356

A football is kicked from 6 ft with a speed of 75 ft/s. Use $h=6+75t-16t^{2}$ to find height at $t=4$ seconds.

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Problem 18357

1. Find the identity element for the operation $a * b = a + b - 3$ . A. 3 B. 2 C. 0 D. -3
2. Calculate the sum of the sequence $4, -2, 1, -\frac{1}{2}, \ldots$ . A. $-\frac{3}{4}$ B. $\frac{3}{4}$ C. $\frac{8}{3}$ D. 8
3. Solve $256^{(x+1)} = 8^{(1-x^{2})}$ . A. $-1, -\frac{5}{3}$ B. $-\frac{3}{8}, -\frac{5}{3}$ C. $\frac{8}{3}, \frac{3}{5}$ D. $\frac{8}{3}, \frac{5}{3}$
4. For roots $\alpha$ and $\beta$ of $x^{2} + 3x - 4 = 0$ , find $\alpha^{2} + \beta^{2} - 3\alpha\beta$ . A. -11 B. 20 C. 21 D. 29
5. Rationalize $\frac{1}{\sqrt{3} - \sqrt{2}}$ . A. $\sqrt{3} - \sqrt{2}$ B. $\frac{\sqrt{3} + \sqrt{2}}{3}$ C. $\frac{\sqrt{3} + \sqrt{2}}{2}$ D. $\sqrt{3} + \sqrt{2}$
6. Solve $\log_{5}(6x + 7) - \log_{5} 6 = 2$ for $x$ .

See Solution

Problem 18358

Simplify the expression: $3(9x - 8) + 15x$ .

See Solution

Problem 18359

Solve for $x$ : $3(9x - 8) + 15x = 0$ .

See Solution

Problem 18360

Calculate: $562 \times 19 = ?$

See Solution

Problem 18361

Find the midpoint of points C(-2,5) and D(8,-12).

See Solution

Problem 18362

Simplify the expression: $4(-3 x^{2}+5 x) - (3 x - 3 x^{2})$

See Solution

Problem 18363

Simplify the expression: $3(9x - 8) + 15x$ .

See Solution

Problem 18364

What percent is 600 of 900? Solve for $x$ in $600=\frac{x}{100} \times 900$ .

See Solution

Problem 18365

Is the statement $2 + 7x = 9x$ true or false? If false, correct it to make it true.

See Solution

Problem 18366

Is the statement $3 + 9x = 12x$ true or false? If false, correct it to make it true.

See Solution

Problem 18367

Solve for $x$ : $2 + 7x = 9x$ .

See Solution

Problem 18368

Simplify $5(2x - 3) - 8x$

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Problem 18369

Find the average cost per clock for manufacturing $x$ clocks, given $C(x) = \frac{0.4x + 7000}{x}$ , at $x = 100, 1000, 10000$ .

See Solution

Problem 18370

Simplify $3(4 x^{2}+2 x)+2(5 x^{2}+x)$ .

See Solution

Problem 18371

Halla "m.n" si el sistema es corrónatible indeterminado: $5x + 3y = 1$ y $mx - ny = 4$ .

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Problem 18372

Find the rational zeros of $f(x)=x^3-31x-30$ . If none, enter DNE. Test: $x=1,-1,2,-2,3,-3,5,-5,6,-6,10,-10,15,-15,30,-30$ .

See Solution

Problem 18373

Solve the system of equations: 5x = -71 - 13y and -18x = 19 + 13y. Provide (x,y) as the answer.

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Problem 18374

Solve the system: 6x = -32 - 10y and 11x = 8 - 10y. Provide (x, y) in parentheses.

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Problem 18375

Solve for $y$ in the equation: $13=-2(y-4)+3y$ .

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Problem 18376

Solve the equation: $5(3-x)+2(3-x)=14$ .

See Solution

Problem 18377

Calculate $576 - 14.8 \div 8$ . What is the result?

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Problem 18378

Calculate $76 - 14.8 \div 8$ .

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Problem 18379

Solve the equation: $3(4g + 6) = 2(6g + 9)$ .

See Solution

Problem 18380

Solve the equation: $5(1+2 m)=\frac{1}{2}(8+20 m)$ .

See Solution

Problem 18381

Convert $1.5 \times 10^{9}$ eV to calories.

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Problem 18382

Simplify the expression: $y=\cos ^{2} x+\sin ^{2} x+1$ .

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Problem 18383

Identify and fix the mistake in solving the equation: $-\frac{m}{3}=-4$ leading to $m=-12$ .

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Problem 18384

Convert 745 torr to mbar using the conversion factor: 1 torr = 1.33322 mbar.

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Problem 18385

Marta solves $S=2 \pi r h+2 \pi r^{2}$ for $h$ . What is the correct expression for $h$ ?

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Problem 18386

Show that $f(x) = 2x - 7$ and $g(x) = \frac{x+7}{2}$ are inverses by verifying $f(g(x)) = x$ and $g(f(x)) = x$ .

See Solution

Problem 18387

Find the inverse equation of the relation $y=3x+2$ .

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Problem 18388

Find $y$ in the equation $\frac{9}{12}=\frac{y}{8}$ . Simplify your answer.

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Problem 18389

Is the equation $3 x-7=0$ equivalent to $3 x=-7$ true or false? If false, correct it.

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Problem 18390

Expand and simplify the expression: $(3x + 7)(x + 5)$ into a trinomial.

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Problem 18391

Solve the equation $8x = -16$ and verify your solution by substituting it back into the equation.

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Problem 18392

Solve the equation $8 x = -16$ and check your solution. What is the solution set? (Type an integer or simplified fraction.)

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Problem 18393

Solve the equation $3x - 12 = -63$ and verify your solution by substituting it back into the equation.

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Problem 18394

Solve the proportion $\frac{7}{13}=\frac{8}{v}$ for $v$ and round to the nearest tenth. What is $v$ ?

See Solution

Problem 18395

Solve the equation $2(8x - 1) = 25$ and verify your solution by substituting it back into the original equation.

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Problem 18396

Solve for $y$ in the equation $\frac{5}{2}=\frac{3}{y-3}$ . Simplify your answer.

See Solution

Problem 18397

Solve the equation: $5x + 7 = 3x + 41$

See Solution

Problem 18398

Solve for $u$ in the equation $4(v-4)-6=-4(-3 v+3)-4 u$ .

See Solution

Problem 18399

Solve the equation: 24(y+2) = 3(7y+8)

See Solution

Problem 18400

Solve the equation: $4(u-4)-6=-4(-3 u+3)-4 u$

See Solution

1 ...181 182 183 184 185 186 187 ...270

Math Statement

Problem 18301

Simplify the expression x−13x−47\frac{x^{-\frac{1}{3}}}{x^{-\frac{4}{7}}}x−74​x−31​​ using only positive exponents.

Problem 18302

Simplify: 448×984 \sqrt{48} \times \sqrt{98}448​×98​.

Problem 18303

Simplify: 50+298\sqrt{50}+2 \sqrt{98}50​+298​

Problem 18304

Simplify 18×298 \sqrt{18} \times 2 \sqrt{98} 18​×298​.

Problem 18305

Simplify: 54×448\sqrt{54} \times 4 \sqrt{48}54​×448​

Problem 18306

Simplify the expression: 32×250\sqrt{32} \times 2 \sqrt{50}32​×250​.

Problem 18307

Evaluate cot⁡π9\cot \frac{\pi}{9}cot9π​ using a calculator. What is cot⁡π9≈\cot \frac{\pi}{9} \approxcot9π​≈?

Problem 18308

Evaluate cot⁡86∘\cot 86^{\circ}cot86∘ using a calculator and round the final answer to four decimal places.

Problem 18309

Evaluate cos⁡69∘\cos 69^{\circ}cos69∘ using a calculator. Round the answer to four decimal places.

Problem 18310

Evaluate cos⁡π4\cos \frac{\pi}{4}cos4π​ using special right triangles and simplify your answer.

Problem 18311

Evaluate cot⁡π3\cot \frac{\pi}{3}cot3π​ using special right triangles. Simplify your answer with integers or fractions.

Problem 18312

Find the value of tan⁡π8cot⁡3π8−sec⁡π8csc⁡3π8\tan \frac{\pi}{8} \cot \frac{3 \pi}{8} - \sec \frac{\pi}{8} \csc \frac{3 \pi}{8}tan8π​cot83π​−sec8π​csc83π​.

Problem 18313

Rewrite cos⁡(90∘−θ)cot⁡θ\cos \left(90^{\circ}-\theta\right) \cot \thetacos(90∘−θ)cotθ using one of the six trigonometric functions of angle θ\thetaθ. cos⁡(90∘−θ)cot⁡θ=\cos \left(90^{\circ}-\theta\right) \cot \theta= cos(90∘−θ)cotθ=

Problem 18314

Find the common difference and the 20th term of the sequence: 1, 2, 5, 8, 11, ...; use a20a_{20}a20​.

Problem 18315

Find the common difference and the 20th term of the sequence: 2,5,8,11,…2, 5, 8, 11, \ldots2,5,8,11,…

Problem 18316

Find the six trigonometric functions of ttt for the point (−35,−225)\left(-\frac{\sqrt{3}}{5},-\frac{\sqrt{22}}{5}\right)(−53​​,−522​​) on the unit circle.

Problem 18317

Find the GCF of 48 and 30, then express 48+3048 + 3048+30 as GCF⋅(a+b)GCF \cdot (a + b)GCF⋅(a+b).

Problem 18318

Problem 18319

Based on the equation C=59(F−32)C=\frac{5}{9}(F-32)C=95​(F−32), which statements about temperature changes are true? A) I only B) II only C) III only D) I and II only

Problem 18320

If 3x−y=123x - y = 123x−y=12, find the value of 8x2y\frac{8^x}{2^y}2y8x​. A) 2122^{12}212 B) 444^{4}44 C) 828^{2}82 D) Cannot determine.

Problem 18321

Problem 18322

Combine the terms in the expression: −3x+y−y+7x-3x + y - y + 7x−3x+y−y+7x. What is the simplified result?

Problem 18323

Simplify the expression x+5y+3xx + 5y + 3xx+5y+3x.

Problem 18324

Simplify the expression −2x−3y+4x+5yi-2x - 3y + 4x + 5yi−2x−3y+4x+5yi.

Problem 18325

Simplify the expression: −2x+(−3y)−(−4x)+5y-2 x + (-3 y) - (-4 x) + 5 y−2x+(−3y)−(−4x)+5y.

Problem 18326

Simplify the expression: −3x(−2y−5z+3z)-3 x(-2 y - 5 z + 3 z)−3x(−2y−5z+3z).

Problem 18327

Find the acute angle θ\thetaθ such that sec⁡θ=2\sec \theta=2secθ=2. Solve for θ\thetaθ in radians. θ=\theta= θ=

Problem 18328

Choose the incorrect statement given i>0,j>0,k>0i>0, j>0, k>0i>0,j>0,k>0: a. If i>ji>ji>j then i+k>j+ki+k>j+ki+k>j+k b. If i<ji<ji<j then j>ij>ij>i c. If i>ji>ji>j then i×k>j×ki \times k>j \times ki×k>j×k d. If j<ij<ij<i and i<ki<ki<k then k<jk<jk<j

Problem 18329

Evaluate the expression using special right triangles: csc⁡245∘+tan⁡260∘cot⁡230∘\frac{\csc ^{2} 45^{\circ}+\tan ^{2} 60^{\circ}}{\cot ^{2} 30^{\circ}}cot230∘csc245∘+tan260∘​ Simplify your answer with integers or fractions.

Problem 18330

Find lim⁡x→03x2−sin⁡2x2x−sin⁡3x\lim _{x \rightarrow 0} \frac{3 x^{2}-\sin 2 x}{2 x-\sin 3 x}limx→0​2x−sin3x3x2−sin2x​. What is the result? A) -1 B) 0 C) 2 D) Does not exist.

Problem 18331

Solve for xxx in the equation 2−x2+20=02 - \frac{x}{2} + 20 = 02−2x​+20=0.

Problem 18332

Find the limit: lim⁡x→3−2−xx−3\lim _{x \rightarrow 3^{-}} \frac{2-x}{x-3}limx→3−​x−32−x​. What is the result? A) −∞-\infty−∞ B) +∞+\infty+∞ C) 0 D) 1

Problem 18333

Solve the equation x2+20=0\frac{x}{2}+20=02x​+20=0 for xxx.

Problem 18334

Solve the equation: 2x2−10x=02 x^{2}-10 x=02x2−10x=0 for the variable xxx.

Problem 18335

Solve the equation x2+2x=5xx^{2}+2x=5xx2+2x=5x.

Problem 18336

Find a23a_{23}a23​ given a1=−5a_{1}=-5a1​=−5 and d=4d=4d=4.

Problem 18337

Find the linear function fff such that f(35)=12f\left(\frac{3}{5}\right)=\frac{1}{2}f(53​)=21​ and f(2)=4f(2)=4f(2)=4.

Problem 18338

Find a71a_{71}a71​ using a1=0.1a_{1}=0.1a1​=0.1 and common difference d=−2d=-2d=−2.

Problem 18339

Evaluate the expression using special right triangles: sec⁡2π3+tan⁡2π4cot⁡2π6= \frac{\sec ^{2} \frac{\pi}{3}+\tan ^{2} \frac{\pi}{4}}{\cot ^{2} \frac{\pi}{6}}= cot26π​sec23π​+tan24π​​= Simplify your answer, including radicals.

Problem 18340

Find the limit: lim⁡x→04sin⁡x2−2cos⁡x\lim _{x \rightarrow 0} \frac{4 \sin x}{2-2 \cos x}limx→0​2−2cosx4sinx​. What is the result? A) 2 B) π\piπ C) 0 D) does not exist.

Problem 18341

Simplify the expression $\frac{x^{-\frac{1}{3}}}{x^{-\frac{4}{7}}}$ using only positive exponents.

Simplify: $4 \sqrt{48} \times \sqrt{98}$ .

Simplify: $\sqrt{50}+2 \sqrt{98}$

Simplify $\sqrt{18} \times 2 \sqrt{98}$ .

Simplify: $\sqrt{54} \times 4 \sqrt{48}$

Simplify the expression: $\sqrt{32} \times 2 \sqrt{50}$ .

Evaluate $\cot \frac{\pi}{9}$ using a calculator. What is $\cot \frac{\pi}{9} \approx$ ?

Evaluate $\cot 86^{\circ}$ using a calculator and round the final answer to four decimal places.

Evaluate $\cos 69^{\circ}$ using a calculator. Round the answer to four decimal places.

Evaluate $\cos \frac{\pi}{4}$ using special right triangles and simplify your answer.

Evaluate $\cot \frac{\pi}{3}$ using special right triangles. Simplify your answer with integers or fractions.

Find the value of $\tan \frac{\pi}{8} \cot \frac{3 \pi}{8} - \sec \frac{\pi}{8} \csc \frac{3 \pi}{8}$ .

Rewrite $\cos \left(90^{\circ}-\theta\right) \cot \theta$ using one of the six trigonometric functions of angle $\theta$ . $\cos \left(90^{\circ}-\theta\right) \cot \theta=$

Find the common difference and the 20th term of the sequence: 1, 2, 5, 8, 11, ...; use $a_{20}$ .

Find the common difference and the 20th term of the sequence: $2, 5, 8, 11, \ldots$

Find the six trigonometric functions of $t$ for the point $\left(-\frac{\sqrt{3}}{5},-\frac{\sqrt{22}}{5}\right)$ on the unit circle.

Find the GCF of 48 and 30, then express $48 + 30$ as $GCF \cdot (a + b)$ .

Based on the equation $C=\frac{5}{9}(F-32)$ , which statements about temperature changes are true? A) I only B) II only C) III only D) I and II only

If $3x - y = 12$ , find the value of $\frac{8^x}{2^y}$ . A) $2^{12}$ B) $4^{4}$ C) $8^{2}$ D) Cannot determine.

Combine the terms in the expression: $-3x + y - y + 7x$ . What is the simplified result?

Simplify the expression $x + 5y + 3x$ .

Simplify the expression $-2x - 3y + 4x + 5yi$ .

Simplify the expression: $-2 x + (-3 y) - (-4 x) + 5 y$ .

Simplify the expression: $-3 x(-2 y - 5 z + 3 z)$ .

Find the acute angle $\theta$ such that $\sec \theta=2$ . Solve for $\theta$ in radians. $\theta=$

Choose the incorrect statement given $i>0, j>0, k>0$ : a. If $i>j$ then $i+k>j+k$ b. If $i<j$ then $j>i$ c. If $i>j$ then $i \times k>j \times k$ d. If $j<i$ and $i<k$ then $k<j$

Evaluate the expression using special right triangles: $\frac{\csc ^{2} 45^{\circ}+\tan ^{2} 60^{\circ}}{\cot ^{2} 30^{\circ}}$ Simplify your answer with integers or fractions.

Find $\lim _{x \rightarrow 0} \frac{3 x^{2}-\sin 2 x}{2 x-\sin 3 x}$ . What is the result? A) -1 B) 0 C) 2 D) Does not exist.

Solve for $x$ in the equation $2 - \frac{x}{2} + 20 = 0$ .

Find the limit: $\lim _{x \rightarrow 3^{-}} \frac{2-x}{x-3}$ . What is the result? A) $-\infty$ B) $+\infty$ C) 0 D) 1

Solve the equation $\frac{x}{2}+20=0$ for $x$ .

Solve the equation: $2 x^{2}-10 x=0$ for the variable $x$ .

Solve the equation $x^{2}+2x=5x$ .

Find $a_{23}$ given $a_{1}=-5$ and $d=4$ .

Find the linear function $f$ such that $f\left(\frac{3}{5}\right)=\frac{1}{2}$ and $f(2)=4$ .

Find $a_{71}$ using $a_{1}=0.1$ and common difference $d=-2$ .

Evaluate the expression using special right triangles:
$\frac{\sec ^{2} \frac{\pi}{3}+\tan ^{2} \frac{\pi}{4}}{\cot ^{2} \frac{\pi}{6}}=$
Simplify your answer, including radicals.

Find the limit: $\lim _{x \rightarrow 0} \frac{4 \sin x}{2-2 \cos x}$ . What is the result? A) 2 B) $\pi$ C) 0 D) does not exist.

Choose the false statement about polynomials:
1. Number of terms = monomials.
2. Trinomial has three terms.
3. Number of terms = highest exponent.

Find the value of $\sec \frac{\pi}{12} \csc \frac{5 \pi}{12}-\tan \frac{\pi}{12} \cot \frac{5 \pi}{12}$ .

Find $a_{18}$ in an arithmetic sequence with $a_{1}=\frac{1}{3}$ and common difference $c=3$ .

Find $a_{18}$ given $a_{1}=\frac{1}{3}$ and common difference $d=3$ .

Rewrite the expression $\frac{\sin ^{2} \theta+\cot ^{2} \theta+\cos ^{2} \theta}{\csc \theta}$ using basic trig identities.

Find $\lim _{x \rightarrow c}[2 f(x)+3 g(x)]$ given $\lim _{x \rightarrow c} f(x)=\frac{-2}{3}$ and $\lim _{x \rightarrow c} g(x)=\frac{5}{4}$ .

Calculate $\cos 66^{\circ}$ and round your answer to four decimal places.

Find the roots of the equation $2x^3 + x^2 - 4 = 0$ .

Find the equivalent polynomial for $(-3 n+1)^{2}$ . Options: -9 n^{2}-6 n+1, -9 n^{2}+1, 9 n^{2}-6 n+1, 9 n^{2}+1.

Calculate: $14 \div\left[2^{2} \div(8-6)\right]-(-4)$ .

Convert $6.34 \times 10^{9}$ into standard form.

Convert $6.34 \times 10^{9}$ into standard decimal form.

Simplify the expression: $3x + 3x$ .

Calculate: $562 \times 19 =$

A football is kicked from 6 ft with a speed of 75 ft/s. Use $h=6+75t-16t^{2}$ to find height at $t=4$ seconds.

Simplify the expression: $3(9x - 8) + 15x$ .

Solve for $x$ : $3(9x - 8) + 15x = 0$ .

Calculate: $562 \times 19 = ?$

Simplify the expression: $4(-3 x^{2}+5 x) - (3 x - 3 x^{2})$

Simplify the expression: $3(9x - 8) + 15x$ .

What percent is 600 of 900? Solve for $x$ in $600=\frac{x}{100} \times 900$ .

Is the statement $2 + 7x = 9x$ true or false? If false, correct it to make it true.

Is the statement $3 + 9x = 12x$ true or false? If false, correct it to make it true.

Solve for $x$ : $2 + 7x = 9x$ .

Simplify $5(2x - 3) - 8x$

Find the average cost per clock for manufacturing $x$ clocks, given $C(x) = \frac{0.4x + 7000}{x}$ , at $x = 100, 1000, 10000$ .

Simplify $3(4 x^{2}+2 x)+2(5 x^{2}+x)$ .

Halla "m.n" si el sistema es corrónatible indeterminado: $5x + 3y = 1$ y $mx - ny = 4$ .

Find the rational zeros of $f(x)=x^3-31x-30$ . If none, enter DNE. Test: $x=1,-1,2,-2,3,-3,5,-5,6,-6,10,-10,15,-15,30,-30$ .