Math Statement

Problem 23501

Simplify the expression $(2 x + 3 y)^{2}$ .

See Solution

Problem 23502

Find the equation of the tangent line to the curve $y=\frac{4}{x}$ at the point $\left(3, \frac{4}{3}\right)$ .

See Solution

Problem 23503

Convert the fraction $\frac{4}{3}$ into a mixed number.

See Solution

Problem 23504

Determine the quadrant for angle $\theta$ given that $\cos \theta > 0$ and $\csc \theta < 0$ .

See Solution

Problem 23505

Determine the quadrant for angle $\theta$ if $\csc \theta>0$ and $\sec \theta>0$ .

See Solution

Problem 23506

Find the exact value of $\tan \frac{-3 \pi}{4}$ using the reference angle without a calculator.

See Solution

Problem 23507

Find $f(x)=2$ . Calculate $f(7)$ , $f(-7)$ , $f(1.6)$ , $f(-1.3)$ . What is $f(7)$ ? A. $f(7)=$ B. $f(7)$ is undefined.

See Solution

Problem 23508

Find the exact value of $\cot \frac{-11 \pi}{6}$ using the reference angle without a calculator.

See Solution

Problem 23509

Determine the quadrant for angle $\theta$ given that $\cot \theta<0$ and $\cos \theta>0$ .

See Solution

Problem 23510

Find the values of $\theta$ for which the function $f(\theta)=\sec \theta$ is undefined.

See Solution

Problem 23511

Convert $\frac{32}{3}$ into a mixed number.

See Solution

Problem 23512

Evaluate the function $f(x)=\frac{\sqrt{x-4}}{x^{2}-8}$ at $f(7)$ . Is it defined or undefined?

See Solution

Problem 23513

Evaluate the function $f(x)=14 x^{2}+7 x$ at these points: (a) $f(5)$ , (b) $f(-9)$ , (c) $f(4.5)$ , (d) $f(-3.5)$ .

See Solution

Problem 23514

For the function $f(x)=\sqrt{14-x}$ , calculate $f(5)$ , $f(-4)$ , $f(11.1)$ , and $f(-3.7)$ .

See Solution

Problem 23515

Given the function $f(x)=\frac{\sqrt{x-4}}{x^{2}-8}$ , find $f(7)$ and $f(-6)$ . Are they defined?

See Solution

Problem 23516

Find the values of $\theta$ for which $f(\theta)=\sec \theta$ is undefined.

See Solution

Problem 23517

Determine the quadrant for angle $\theta$ given that $\sin \theta > 0$ and $\cos \theta < 0$ .

See Solution

Problem 23518

Evaluate the function $f(x)=\frac{\sqrt{x-4}}{x^{2}-8}$ for $f(7)$ , $f(-6)$ , and $f(4.3)$ .

See Solution

Problem 23519

Convert $\frac{51}{5}$ into a mixed number.

See Solution

Problem 23520

Calcula la división de fracciones: $24 \div -\frac{1}{36} =$

See Solution

Problem 23521

Simplify $3^{8} \div 3^{4}$ or $\frac{3^{8}}{3^{4}}$ .

See Solution

Problem 23522

Find the derivative $U'(t)$ of $U(t)=5.1 t^{2}-1.2 t$ and evaluate it at $t=8$ .

See Solution

Problem 23523

Evaluate for $x=2$ and $y=7$ : a. $9 x^{2} y^{0}+1$ , b. $\left(\frac{x^{9}}{x^{3}}\right)-y^{2}$ .

See Solution

Problem 23524

Rewrite $\frac{7^{8} \div 7^{2}}{7^{3}}$ as a single exponent.

See Solution

Problem 23525

Calculate the sum of 75 and 28. What is $75 + 28$ ?

See Solution

Problem 23526

Calculate $2^{16} \div 2^{4}$ and fill in the blanks: $2^{16} \square_{4} = \square$ .

See Solution

Problem 23527

Rearrange $2000=1000\left(1+\frac{R}{100}\right)^{D}$ to find $D=\frac{\log (2)}{\log \left(1+\frac{R}{100}\right)}$ .

See Solution

Problem 23528

Calculate $75 + (6 \times 5) - (7 + 2)$ .

See Solution

Problem 23529

Solve for the missing numbers in the equation $\left(\frac{7}{11}\right)^{4}=\frac{7 \square}{11 \square}$ .

See Solution

Problem 23530

Calculate $-3 / 7 \div(-8 / 21)$ .

See Solution

Problem 23531

Simplify the equations: $1281=1-281$ , $|150|=$ , $|-8|=|-8|$ , $|1|=|1|$ , $|-6|=1$ , $|-3|=$ . True? Yes or No.

See Solution

Problem 23532

Determine the quadrant for angle $\theta$ given that $\cot \theta>0$ and $\sin \theta<0$ .

See Solution

Problem 23533

Simplify $12^{9} \div 12^{3}$ .

See Solution

Problem 23534

Calculate $\left(\frac{4}{7}\right)^{5}$ .

See Solution

Problem 23535

Find the remainder when 104 is divided by 16. What is $104 \div 16$ ?

See Solution

Problem 23536

Determine the quadrant for angle $\theta$ given that $\cos \theta < 0$ and $\csc \theta < 0$ .

See Solution

Problem 23537

Solve for the missing value in the equation $-2(2x-\square)+1=17-4x$ that makes it an identity, has one solution, or no solution.

See Solution

Problem 23538

Find $\csc \theta$ given that $\sin \theta = \frac{1}{3}$ .

See Solution

Problem 23539

Calculate $6^{8} \div 3^{4}$ .

See Solution

Problem 23540

Find the reference angle for the angle $\frac{7 \pi}{8}$ .

See Solution

Problem 23541

Find $\cos \theta$ for the point $P(12, 5)$ on the circle $x^{2}+y^{2}=r^{2}$ .

See Solution

Problem 23542

Identify the means in the proportion $\frac{3}{5}=\frac{18}{30}$ . Choices: 18 & 30, 3 & 5, 3 & 30, 5 & 18.

See Solution

Problem 23543

Find $\cot \theta$ for the point $P(-3,2)$ on the circle $x^{2}+y^{2}=r^{2}$ .

See Solution

Problem 23544

Convert $5\%$ to a simplified fraction or mixed number. Choices: $\frac{100}{5}$ , $\frac{1}{20}$ , $\frac{5}{10}$ , $\frac{5}{1000}$ , None.

See Solution

Problem 23545

Solve the inequality: $-\frac{2}{7}(3-4 x)+8<18$ .

See Solution

Problem 23546

Solve the inequality: $\frac{2.6 x-4.8}{-2}+3.2 < -8.7$

See Solution

Problem 23547

Find the values of $\theta$ for which $f(\theta)=\csc \theta$ is undefined.

See Solution

Problem 23548

Solve the inequality: $\frac{2}{7}(3-4 x)+8>18$ .

See Solution

Problem 23549

Solve these inequalities for 'x':
1) $\frac{2.6x - 4.8}{-2} + 3.2 < x$
2) $\frac{2}{7}(3 - 4x) + 8 > x$

See Solution

Problem 23550

Solve the inequality: $-3x + 4 < 5$ .

See Solution

Problem 23551

Find the values of $\theta$ for which $f(\theta)=\csc \theta$ is undefined.

See Solution

Problem 23552

Add the numbers in base four: $12_{\text{four}} + 13_{\text{four}} = \square \text{ four}$ .

See Solution

Problem 23553

If $\tan \theta=a$ (where $a \neq 0$ ), determine $\cot \theta$ .

See Solution

Problem 23554

If $\tan \theta=a(a \neq 0)$ , what is $\cot \theta$ using reciprocal identities?

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Problem 23555

Find the reference angle for the angle $-\frac{13 \pi}{12}$ .

See Solution

Problem 23556

Find the reference angle for $\frac{4 \pi}{3}$ . Options: $\frac{2 \pi}{3}$ , $\frac{\pi}{6}$ , $\frac{\pi}{3}$ , $\frac{4 \pi}{3}$ .

See Solution

Problem 23557

Find $\tan \theta$ using $\sin \theta=\frac{6 \sqrt{37}}{37}$ and $\cos \theta=\frac{\sqrt{37}}{37}$ .

See Solution

Problem 23558

If $\sin \theta=\frac{\sqrt{3}}{3}$ , calculate $(\sin \theta)^{2}$ .

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Problem 23559

If $\tan \theta=3$ , calculate $\tan^{3} \theta$ .

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Problem 23560

Find $\cot \theta$ using the values $\sin \theta=-\frac{9}{41}$ and $\cos \theta=-\frac{40}{41}$ .

See Solution

Problem 23561

Find $\tan \theta$ if $\sin \theta = \frac{8}{17}$ and $\cos \theta = \frac{15}{17}$ .

See Solution

Problem 23562

Find $\cos \theta$ given $\sin \theta=\frac{1}{2}$ and $\theta$ in QII. $\cos \theta=\square$

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Problem 23563

Find $\sin \theta$ given $\cos \theta = \frac{4}{5}$ and $\theta$ is in QI. $\sin \theta =$

See Solution

Problem 23564

Find $\sec \theta$ given that $\sin \theta = \frac{8}{17}$ and $\cos \theta = \frac{15}{17}$ .

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Problem 23565

Identify the properties in these equations:
1. $9 \cdot(7 \cdot 6)=(9 \cdot 7) \cdot 6$
2. $9 \cdot(7 \cdot 6)=9 \cdot(6 \cdot 7$
Options: A. Identity, B. Commutative, C. Distributive, D. Associative, E. Zero property.

See Solution

Problem 23566

Find $\csc \theta$ given $\cot \theta=-48/55$ and $\sin \theta>0$ . What is $\csc \theta$ ?

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Problem 23567

Calculate the expression: $4^{*} 4(3)+10-2$ .

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Problem 23568

Calculate the following operations in the given bases: a. $31_{\text {five }} \cdot 3_{\text {five }}$ b. $31_{\text {five }} + 3_{\text {five }}$ c. $51_{\text {six }} \cdot 23_{\text {six }}$ d. $242_{\text {five }} \div 4$ e. $10110_{\text {two }} + 10_{\text {two }}$ f. $10011_{\text {two }} \cdot 100_{\text {two }}$

See Solution

Problem 23569

Express $\cos \theta$ using only $\sin \theta$ .

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Problem 23570

Express $\sec \theta$ using only $\cos \theta$ .

See Solution

Problem 23571

Find the compositions of functions $f(x)=5x+4$ and $g(x)=\frac{x-4}{5}$ : a. $(f \circ g)(x)$ , b. $(g \circ f)(x)$ , c. $(f \circ g)(5)$ , d. $(g \circ f)(5)$ .

See Solution

Problem 23572

Perform operations in given bases:
a. $31_{\text {five }} \cdot 3_{\text {five }}$
b. $31_{\text {five }}+3_{\text {five }}$
c. $51_{\text {six }} \cdot 23_{\text {six }}$
d. $242_{\text {five }}+4_{\text {five }}$
e. $10110_{\text {two }}+10_{\text {two }}$
f. $10011_{\text {two }} \cdot 100_{\text {two }}$

See Solution

Problem 23573

Simplify: (a) $\frac{\frac{1}{a}}{\frac{1}{b}}$

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Problem 23574

Rewrite $csc \theta$ using only $\cos \theta$ .

See Solution

Problem 23575

Simplify the expression: $\frac{\frac{1}{\cos \theta}}{\frac{1}{\sin \theta}}$ .

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Problem 23576

Find the set $(A \cup B) \cap (A \cup C)$ given $U=\{1,2,3,\ldots,10\}$ , $A=\{1,4,5,8\}$ , $B=\{3,6,9\}$ , $C=\{1,2,3,4,5\}$ .

See Solution

Problem 23577

Define $f(x)=x+4$ , $g(x)=2x+1$ , $h(x)=2x^2+9x+4$ . Find the formulas for: a. $\frac{f+g}{h}$ b. $\frac{fg}{h}$ c. $ff$ d. $gg$ e. $ff - gg$ $f \cdot (f+g)(f-g)$

See Solution

Problem 23578

Rewrite $\csc \theta \cot \theta$ using $\sin \theta$ and $\cos \theta$ , then simplify if possible.

See Solution

Problem 23579

Rewrite $\csc \theta \tan \theta$ using $\sin \theta$ and $\cos \theta$ , then simplify if possible.

See Solution

Problem 23580

Rewrite $\frac{\sec \theta}{\csc \theta}$ using $\sin \theta$ and $\cos \theta$ , then simplify if possible.

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Problem 23581

Find the fixed point of the function where $f(x)=-2x+3$ . Solve for $x$ such that $f(x)=x$ .

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Problem 23582

Find the fixed point of the function where $f(x)=\frac{1}{2} x-3$ and $f(x)=x$ . What is $x$ ?

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Problem 23583

Find the fixed point of the function where $f(x)=\frac{2}{3} x-\frac{1}{2}$ , i.e., solve $f(x)=x$ .

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Problem 23584

Given the weight regression $\text{Weight} = -115 + 3 \cdot 6(\text{Height})$ , which statements are true about height and weight?

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Problem 23585

Rewrite $\frac{\sec \theta}{\tan \theta}$ using $\sin \theta$ and $\cos \theta$ , then simplify.

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Problem 23586

Solve $|3k - 2| - 2|k + 2| = 0$ . Find the solutions for $k$ .

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Problem 23587

Express $\frac{\tan \theta}{\cot \theta}$ using $\sin \theta$ and $\cos \theta$ , then simplify if possible.

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Problem 23588

Find the GCF of 180, 270, and 360. What is $\operatorname{GCF}(180,270,360)$ ?

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Problem 23589

Rewrite $\frac{\sin \theta}{\csc \theta}$ using $\sin \theta$ and $\cos \theta$ , and simplify if possible.

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Problem 23590

Solve the equation $m + 3 = 7$ for the value of $m$ .

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Problem 23591

Express $\tan \theta + \sec \theta$ using $\sin \theta$ and $\cos \theta$ , then simplify if possible.

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Problem 23592

Solve the equation $|4 n-15|=|n|$ . Find the values of $n=$ and $n=$ .

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Problem 23593

Rewrite $\sin \theta \cot \theta + 4 \cos \theta$ using $\sin \theta$ and $\cos \theta$ , then simplify.

See Solution

Problem 23594

Express $\sec \theta - \tan \theta \sin \theta$ using $\sin \theta$ and $\cos \theta$ , then simplify.

See Solution

Problem 23595

Solve the equation $-4|8-5 n|=13$ for $n$ .

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Problem 23596

Simplify: (a) $\frac{1}{a}-\frac{1}{b}$

See Solution

Problem 23597

Add or subtract: (a) $\frac{b}{a}+\frac{1}{b}$ and simplify if possible.

See Solution

Problem 23598

Add or subtract the fractions: $\frac{b}{a}+\frac{1}{b}$ and simplify if possible.

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Problem 23599

Simplify $\frac{\cos \theta}{\sin \theta}+\frac{1}{\cos \theta}$ using $\sin \theta$ and $\cos \theta$ .

See Solution

Problem 23600

Solve $9|A p+2|+8=35$ for the variable $A$ .

See Solution

1 ...233 234 235 236 237 238 239 ...270

Math Statement

Problem 23501

Simplify the expression (2x+3y)2(2 x + 3 y)^{2}(2x+3y)2.

Problem 23502

Find the equation of the tangent line to the curve y=4xy=\frac{4}{x}y=x4​ at the point (3,43)\left(3, \frac{4}{3}\right)(3,34​).

Problem 23503

Convert the fraction 43\frac{4}{3}34​ into a mixed number.

Problem 23504

Determine the quadrant for angle θ\thetaθ given that cos⁡θ>0\cos \theta > 0cosθ>0 and csc⁡θ<0\csc \theta < 0cscθ<0.

Problem 23505

Determine the quadrant for angle θ\thetaθ if csc⁡θ>0\csc \theta>0cscθ>0 and sec⁡θ>0\sec \theta>0secθ>0.

Problem 23506

Find the exact value of tan⁡−3π4\tan \frac{-3 \pi}{4}tan4−3π​ using the reference angle without a calculator.

Problem 23507

Find f(x)=2f(x)=2f(x)=2. Calculate f(7)f(7)f(7), f(−7)f(-7)f(−7), f(1.6)f(1.6)f(1.6), f(−1.3)f(-1.3)f(−1.3). What is f(7)f(7)f(7)? A. f(7)=f(7)=f(7)= B. f(7)f(7)f(7) is undefined.

Problem 23508

Find the exact value of cot⁡−11π6\cot \frac{-11 \pi}{6}cot6−11π​ using the reference angle without a calculator.

Problem 23509

Determine the quadrant for angle θ\thetaθ given that cot⁡θ<0\cot \theta<0cotθ<0 and cos⁡θ>0\cos \theta>0cosθ>0.

Problem 23510

Find the values of θ\thetaθ for which the function f(θ)=sec⁡θf(\theta)=\sec \thetaf(θ)=secθ is undefined.

Problem 23511

Convert 323\frac{32}{3}332​ into a mixed number.

Problem 23512

Evaluate the function f(x)=x−4x2−8f(x)=\frac{\sqrt{x-4}}{x^{2}-8}f(x)=x2−8x−4​​ at f(7)f(7)f(7). Is it defined or undefined?

Problem 23513

Evaluate the function f(x)=14x2+7xf(x)=14 x^{2}+7 xf(x)=14x2+7x at these points: (a) f(5)f(5)f(5), (b) f(−9)f(-9)f(−9), (c) f(4.5)f(4.5)f(4.5), (d) f(−3.5)f(-3.5)f(−3.5).

Problem 23514

For the function f(x)=14−xf(x)=\sqrt{14-x}f(x)=14−x​, calculate f(5)f(5)f(5), f(−4)f(-4)f(−4), f(11.1)f(11.1)f(11.1), and f(−3.7)f(-3.7)f(−3.7).

Problem 23515

Given the function f(x)=x−4x2−8f(x)=\frac{\sqrt{x-4}}{x^{2}-8}f(x)=x2−8x−4​​, find f(7)f(7)f(7) and f(−6)f(-6)f(−6). Are they defined?

Problem 23516

Find the values of θ\thetaθ for which f(θ)=sec⁡θf(\theta)=\sec \thetaf(θ)=secθ is undefined.

Problem 23517

Determine the quadrant for angle θ\thetaθ given that sin⁡θ>0\sin \theta > 0sinθ>0 and cos⁡θ<0\cos \theta < 0cosθ<0.

Problem 23518

Evaluate the function f(x)=x−4x2−8f(x)=\frac{\sqrt{x-4}}{x^{2}-8}f(x)=x2−8x−4​​ for f(7)f(7)f(7), f(−6)f(-6)f(−6), and f(4.3)f(4.3)f(4.3).

Problem 23519

Convert 515\frac{51}{5}551​ into a mixed number.

Problem 23520

Calcula la división de fracciones: 24÷−136=24 \div -\frac{1}{36} = 24÷−361​=

Problem 23521

Simplify 38÷343^{8} \div 3^{4}38÷34 or 3834\frac{3^{8}}{3^{4}}3438​.

Problem 23522

Find the derivative U′(t)U'(t)U′(t) of U(t)=5.1t2−1.2tU(t)=5.1 t^{2}-1.2 tU(t)=5.1t2−1.2t and evaluate it at t=8t=8t=8.

Problem 23523

Evaluate for x=2x=2x=2 and y=7y=7y=7: a. 9x2y0+19 x^{2} y^{0}+19x2y0+1, b. (x9x3)−y2\left(\frac{x^{9}}{x^{3}}\right)-y^{2}(x3x9​)−y2.

Problem 23524

Rewrite 78÷7273\frac{7^{8} \div 7^{2}}{7^{3}}7378÷72​ as a single exponent.

Problem 23525

Calculate the sum of 75 and 28. What is 75+2875 + 2875+28?

Problem 23526

Calculate 216÷242^{16} \div 2^{4}216÷24 and fill in the blanks: 216□4=□2^{16} \square_{4} = \square216□4​=□.

Problem 23527

Rearrange 2000=1000(1+R100)D2000=1000\left(1+\frac{R}{100}\right)^{D}2000=1000(1+100R​)D to find D=log⁡(2)log⁡(1+R100)D=\frac{\log (2)}{\log \left(1+\frac{R}{100}\right)}D=log(1+100R​)log(2)​.

Problem 23528

Calculate 75+(6×5)−(7+2)75 + (6 \times 5) - (7 + 2)75+(6×5)−(7+2).

Problem 23529

Solve for the missing numbers in the equation (711)4=7□11□\left(\frac{7}{11}\right)^{4}=\frac{7 \square}{11 \square}(117​)4=11□7□​.

Problem 23530

Calculate −3/7÷(−8/21)-3 / 7 \div(-8 / 21)−3/7÷(−8/21).

Problem 23531

Simplify the equations: 1281=1−2811281=1-2811281=1−281, ∣150∣=|150|=∣150∣=, ∣−8∣=∣−8∣|-8|=|-8|∣−8∣=∣−8∣, ∣1∣=∣1∣|1|=|1|∣1∣=∣1∣, ∣−6∣=1|-6|=1∣−6∣=1, ∣−3∣=|-3|=∣−3∣=. True? Yes or No.

Problem 23532

Determine the quadrant for angle θ\thetaθ given that cot⁡θ>0\cot \theta>0cotθ>0 and sin⁡θ<0\sin \theta<0sinθ<0.

Problem 23533

Simplify 129÷12312^{9} \div 12^{3}129÷123.

Problem 23534

Calculate (47)5\left(\frac{4}{7}\right)^{5}(74​)5.

Problem 23535

Find the remainder when 104 is divided by 16. What is 104÷16104 \div 16104÷16?

Problem 23536

Determine the quadrant for angle θ\thetaθ given that cos⁡θ<0\cos \theta < 0cosθ<0 and csc⁡θ<0\csc \theta < 0cscθ<0.

Problem 23537

Solve for the missing value in the equation −2(2x−□)+1=17−4x-2(2x-\square)+1=17-4x−2(2x−□)+1=17−4x that makes it an identity, has one solution, or no solution.

Problem 23538

Find csc⁡θ\csc \thetacscθ given that sin⁡θ=13\sin \theta = \frac{1}{3}sinθ=31​.

Problem 23539

Calculate 68÷346^{8} \div 3^{4}68÷34.

Problem 23540

Simplify the expression $(2 x + 3 y)^{2}$ .

Find the equation of the tangent line to the curve $y=\frac{4}{x}$ at the point $\left(3, \frac{4}{3}\right)$ .

Convert the fraction $\frac{4}{3}$ into a mixed number.

Determine the quadrant for angle $\theta$ given that $\cos \theta > 0$ and $\csc \theta < 0$ .

Determine the quadrant for angle $\theta$ if $\csc \theta>0$ and $\sec \theta>0$ .

Find the exact value of $\tan \frac{-3 \pi}{4}$ using the reference angle without a calculator.

Find $f(x)=2$ . Calculate $f(7)$ , $f(-7)$ , $f(1.6)$ , $f(-1.3)$ . What is $f(7)$ ? A. $f(7)=$ B. $f(7)$ is undefined.

Find the exact value of $\cot \frac{-11 \pi}{6}$ using the reference angle without a calculator.

Determine the quadrant for angle $\theta$ given that $\cot \theta<0$ and $\cos \theta>0$ .

Find the values of $\theta$ for which the function $f(\theta)=\sec \theta$ is undefined.

Convert $\frac{32}{3}$ into a mixed number.

Evaluate the function $f(x)=\frac{\sqrt{x-4}}{x^{2}-8}$ at $f(7)$ . Is it defined or undefined?

Evaluate the function $f(x)=14 x^{2}+7 x$ at these points: (a) $f(5)$ , (b) $f(-9)$ , (c) $f(4.5)$ , (d) $f(-3.5)$ .

For the function $f(x)=\sqrt{14-x}$ , calculate $f(5)$ , $f(-4)$ , $f(11.1)$ , and $f(-3.7)$ .

Given the function $f(x)=\frac{\sqrt{x-4}}{x^{2}-8}$ , find $f(7)$ and $f(-6)$ . Are they defined?

Find the values of $\theta$ for which $f(\theta)=\sec \theta$ is undefined.

Determine the quadrant for angle $\theta$ given that $\sin \theta > 0$ and $\cos \theta < 0$ .

Evaluate the function $f(x)=\frac{\sqrt{x-4}}{x^{2}-8}$ for $f(7)$ , $f(-6)$ , and $f(4.3)$ .

Convert $\frac{51}{5}$ into a mixed number.

Calcula la división de fracciones: $24 \div -\frac{1}{36} =$

Simplify $3^{8} \div 3^{4}$ or $\frac{3^{8}}{3^{4}}$ .

Find the derivative $U'(t)$ of $U(t)=5.1 t^{2}-1.2 t$ and evaluate it at $t=8$ .

Evaluate for $x=2$ and $y=7$ : a. $9 x^{2} y^{0}+1$ , b. $\left(\frac{x^{9}}{x^{3}}\right)-y^{2}$ .

Rewrite $\frac{7^{8} \div 7^{2}}{7^{3}}$ as a single exponent.

Calculate the sum of 75 and 28. What is $75 + 28$ ?

Calculate $2^{16} \div 2^{4}$ and fill in the blanks: $2^{16} \square_{4} = \square$ .

Rearrange $2000=1000\left(1+\frac{R}{100}\right)^{D}$ to find $D=\frac{\log (2)}{\log \left(1+\frac{R}{100}\right)}$ .

Calculate $75 + (6 \times 5) - (7 + 2)$ .

Solve for the missing numbers in the equation $\left(\frac{7}{11}\right)^{4}=\frac{7 \square}{11 \square}$ .

Calculate $-3 / 7 \div(-8 / 21)$ .

Simplify the equations: $1281=1-281$ , $|150|=$ , $|-8|=|-8|$ , $|1|=|1|$ , $|-6|=1$ , $|-3|=$ . True? Yes or No.

Determine the quadrant for angle $\theta$ given that $\cot \theta>0$ and $\sin \theta<0$ .

Simplify $12^{9} \div 12^{3}$ .

Calculate $\left(\frac{4}{7}\right)^{5}$ .

Find the remainder when 104 is divided by 16. What is $104 \div 16$ ?

Determine the quadrant for angle $\theta$ given that $\cos \theta < 0$ and $\csc \theta < 0$ .

Solve for the missing value in the equation $-2(2x-\square)+1=17-4x$ that makes it an identity, has one solution, or no solution.

Find $\csc \theta$ given that $\sin \theta = \frac{1}{3}$ .

Calculate $6^{8} \div 3^{4}$ .

Find the reference angle for the angle $\frac{7 \pi}{8}$ .

Find $\cos \theta$ for the point $P(12, 5)$ on the circle $x^{2}+y^{2}=r^{2}$ .

Identify the means in the proportion $\frac{3}{5}=\frac{18}{30}$ . Choices: 18 & 30, 3 & 5, 3 & 30, 5 & 18.

Find $\cot \theta$ for the point $P(-3,2)$ on the circle $x^{2}+y^{2}=r^{2}$ .

Convert $5\%$ to a simplified fraction or mixed number. Choices: $\frac{100}{5}$ , $\frac{1}{20}$ , $\frac{5}{10}$ , $\frac{5}{1000}$ , None.

Solve the inequality: $-\frac{2}{7}(3-4 x)+8<18$ .

Solve the inequality: $\frac{2.6 x-4.8}{-2}+3.2 < -8.7$

Find the values of $\theta$ for which $f(\theta)=\csc \theta$ is undefined.

Solve the inequality: $\frac{2}{7}(3-4 x)+8>18$ .

Solve these inequalities for 'x':
1) $\frac{2.6x - 4.8}{-2} + 3.2 < x$
2) $\frac{2}{7}(3 - 4x) + 8 > x$

Solve the inequality: $-3x + 4 < 5$ .

Find the values of $\theta$ for which $f(\theta)=\csc \theta$ is undefined.

Add the numbers in base four: $12_{\text{four}} + 13_{\text{four}} = \square \text{ four}$ .

If $\tan \theta=a$ (where $a \neq 0$ ), determine $\cot \theta$ .

If $\tan \theta=a(a \neq 0)$ , what is $\cot \theta$ using reciprocal identities?

Find the reference angle for the angle $-\frac{13 \pi}{12}$ .

Find the reference angle for $\frac{4 \pi}{3}$ . Options: $\frac{2 \pi}{3}$ , $\frac{\pi}{6}$ , $\frac{\pi}{3}$ , $\frac{4 \pi}{3}$ .

Find $\tan \theta$ using $\sin \theta=\frac{6 \sqrt{37}}{37}$ and $\cos \theta=\frac{\sqrt{37}}{37}$ .

If $\sin \theta=\frac{\sqrt{3}}{3}$ , calculate $(\sin \theta)^{2}$ .

If $\tan \theta=3$ , calculate $\tan^{3} \theta$ .

Find $\cot \theta$ using the values $\sin \theta=-\frac{9}{41}$ and $\cos \theta=-\frac{40}{41}$ .

Find $\tan \theta$ if $\sin \theta = \frac{8}{17}$ and $\cos \theta = \frac{15}{17}$ .

Find $\cos \theta$ given $\sin \theta=\frac{1}{2}$ and $\theta$ in QII. $\cos \theta=\square$

Find $\sin \theta$ given $\cos \theta = \frac{4}{5}$ and $\theta$ is in QI. $\sin \theta =$

Find $\sec \theta$ given that $\sin \theta = \frac{8}{17}$ and $\cos \theta = \frac{15}{17}$ .

Find $\csc \theta$ given $\cot \theta=-48/55$ and $\sin \theta>0$ . What is $\csc \theta$ ?

Calculate the expression: $4^{*} 4(3)+10-2$ .

Express $\cos \theta$ using only $\sin \theta$ .

Express $\sec \theta$ using only $\cos \theta$ .

Find the compositions of functions $f(x)=5x+4$ and $g(x)=\frac{x-4}{5}$ : a. $(f \circ g)(x)$ , b. $(g \circ f)(x)$ , c. $(f \circ g)(5)$ , d. $(g \circ f)(5)$ .

Simplify: (a) $\frac{\frac{1}{a}}{\frac{1}{b}}$

Rewrite $csc \theta$ using only $\cos \theta$ .