Math Statement

Problem 23401

Evaluate $b - 2y$ for $b = -3$ and $y = 3$ .

See Solution

Problem 23402

Calculate $6 \frac{3}{4}+2 \frac{4}{5}$ .

See Solution

Problem 23403

Use the distributive property: $(7 \times 3)-(7 \times 2)=7 \times$ __.

See Solution

Problem 23404

Find the derivative of the implicit function: $y^2 + \sin y + x + y + y \sin x + y \sin y + \cos(y^2 + 1) + \sin y + x^2 + 4y = \cos x$ and $3xy^2 + \cos y^2 = 2x^3 + 5$ and $\tan(5y) - y \sin x + 3xy^2 = 9$ .

See Solution

Problem 23405

Solve for $t$ using the square root property: $2 t^{2}-45=-19$ . Find $t=$ .

See Solution

Problem 23406

Complete the square for the equation $p^{2}+14 p-33=10$ . Write it as $(p-a)^{2}=b$ and find $p=$ .

See Solution

Problem 23407

Solve the equation $4 m^{2}-3 m-2=0$ using the quadratic formula and list solutions in simplest radical form.

See Solution

Problem 23408

Solve: $\sqrt{-1 x+68}=x-12$ . Find $x=$ (Separate answers with commas; use integers or reduced fractions. If none, enter DNE.)

See Solution

Problem 23409

Solve for $x$ : $x^{3/5} = 8$

See Solution

Problem 23410

Solve $a^{2}=15 a-56$ . Find $a=$ . If multiple solutions, separate with a comma.

See Solution

Problem 23411

Solve the equation $3 r^{3}-12 r=-2 r^{2}+8$ for real values of $r$ . Provide answers as integers or simplified fractions, separated by commas.

See Solution

Problem 23412

Find the six trigonometric functions for the angle $750^{\circ}$ . Simplify $\sin 750^{\circ}=$ .

See Solution

Problem 23413

Solve for $x$ : $12 < -14(x+3) < 15$ . Type DNE if no solution exists. Provide your answer in interval notation.

See Solution

Problem 23414

Find the intersection point of the lines defined by $y=3x$ and $y=-4x-49$ .

See Solution

Problem 23415

Solve the inequality: -6 ≤ x + 12. Provide the solution in interval notation.

See Solution

Problem 23416

Solve the quadratic $p^{2}+14 p-33=10$ by completing the square. Give the equation as $(p-a)^{2}=b$ and list solutions.

See Solution

Problem 23417

Find the six trigonometric function values for the angle $420^{\circ}$ . Calculate $\sin 420^{\circ}=$ .

See Solution

Problem 23418

Find the derivative $f^{\prime}(x)$ of the function $f(x)=9x-2$ .

See Solution

Problem 23419

Find the six trigonometric functions for the angle $420^{\circ}$ .

See Solution

Problem 23420

Calculate $8 \times 10^{-1} + 6.9 \times 10^{3}$ .

See Solution

Problem 23421

Solve the equation $4 m^{2}-3 m-2=0$ using the quadratic formula. Provide solutions in simplest radical form.

See Solution

Problem 23422

Calculate $2.74 \times 10^{-1} - 6.53 \times 10^{-4}$ .

See Solution

Problem 23423

Find $f(64)$ given the function $f(x)=9 \sqrt{x}$ . What is $f(64)=?$

See Solution

Problem 23424

Find the six trigonometric functions for the angle $-330^{\circ}$ . Calculate $\sin \left(-330^{\circ}\right)=$ (simplify and rationalize).

See Solution

Problem 23425

Calculate $5.9 \times 10^{-2} - 0.078 \times 10^{3}$ .

See Solution

Problem 23426

Calculate $6.36 \times 10^{3} - 5.8 \times 10^{-1}$ .

See Solution

Problem 23427

Find the six trigonometric function values for the angle $-1650^{\circ}$ . Calculate $\sin \left(-1650^{\circ}\right)$ .

See Solution

Problem 23428

Find $f(10)$ for the function $f(x)=5x+x^{2}+10$ . What is $f(10)$ ?

See Solution

Problem 23429

Calculate the product of $1.08 \times 10^{-3}$ and $9.3 \times 10^{-3}$ .

See Solution

Problem 23430

Find $f(5.75)$ using the function $f(x)=\frac{5.98}{x}$ . Provide the answer as a decimal or whole number.

See Solution

Problem 23431

Convert $86_{\text {twelve }}$ to decimal. What is the decimal value?

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Problem 23432

Convert the number $86_{\text{twelve}}$ to decimal.

See Solution

Problem 23433

Find when the water ride height $y=3 \sin \left(\frac{\pi}{2}(x+3)-2\right)$ is 1 foot below the start in $0<x<5$ .

See Solution

Problem 23434

Find the six trigonometric functions for the angle $-2025^{\circ}$ . Simplify $\sin(-2025^{\circ})=$ .

See Solution

Problem 23435

Find the exact value of $\cot (-855)^{\circ}$ . Simplify your answer, including radicals, using integers or fractions.

See Solution

Problem 23436

Find the exact value of $\sin 1020^{\circ}$ . Simplify your answer with integers, fractions, or radicals.

See Solution

Problem 23437

Find $f(34.58)$ using the rule $f(x)=0.07 \sqrt{38.58-x}$ . What is $f(34.58)$ ?

See Solution

Problem 23438

Evaluate $\sin ^{2} 240^{\circ}-\cos ^{2} 270^{\circ}+\tan ^{2} 45^{\circ}$ and simplify your answer.

See Solution

Problem 23439

Evaluate $\cos ^{2} 30^{\circ}+\sec ^{2} 150^{\circ}-\csc ^{2} 210^{\circ}$ and simplify your answer.

See Solution

Problem 23440

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\sin \theta=\frac{1}{2}$ . What are the values of $\theta$ ?

See Solution

Problem 23441

Solve the equation $-2 \sin ^{2} \theta+\cos \theta=-1$ for $0 \leq \theta<2 \pi$ .

See Solution

Problem 23442

Solve $-2 \sin ^{2} \theta+\cos \theta=-1$ for $0 \leq \theta<2 \pi$ . Options include $\frac{\pi}{3}, \pi$ .

See Solution

Problem 23443

Find all values of $\theta$ in $[0^{\circ}, 360^{\circ})$ where $\csc \theta=\frac{2 \sqrt{3}}{3}$ .

See Solution

Problem 23444

Find $\tan A$ in triangle $ABC$ (right angle at $C$ ) with sides $a=6$ and $b=7$ . Provide exact answers.

See Solution

Problem 23445

Find the exact value of $\csc \frac{\pi}{6}$ without a calculator. Options: $\sqrt{2}$ , $\frac{2 \sqrt{3}}{3}$ , 2, $\frac{1}{2}$ .

See Solution

Problem 23446

Find $\sin A$ for right triangle $\mathrm{ABC}$ with sides $a=5$ and $b=3$ . Exact answers only.

See Solution

Problem 23447

Find the exact value of $\sec \frac{9 \pi}{4}$ using a coterminal angle without a calculator. Options: $\frac{\sqrt{2}}{2}$ , $\frac{2 \sqrt{3}}{3}$ , $\sqrt{2}$ , 2.

See Solution

Problem 23448

Find the exact value of $\sec \left(\frac{\pi}{2}-\theta\right)$ if $\tan \theta=2$ . Choices: $\sqrt{5}$ , $\frac{\sqrt{5}}{2}$ , 2, $\frac{1}{2}$ .

See Solution

Problem 23449

Solve for $\theta$ in the equation $2 \sin (\theta) = 0.651$ .

See Solution

Problem 23450

Find $\cos A$ for a right triangle with sides $a=5$ and $b=2$ . Provide the exact answer with a rational denominator.

See Solution

Problem 23451

Find the product and simplify: $(x+8)^{2}$ .

See Solution

Problem 23452

Convert $52.4_{8}$ (octal) to decimal (base ten).

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Problem 23453

Calculate the value of $1 - \sin^2 30^{\circ} - \sin^2 60^{\circ}$ without a calculator. Options: $\frac{1-\sqrt{3}}{2}$ , 1, 0, $\frac{1}{4}$ .

See Solution

Problem 23454

Find $\cot \theta$ if $\cos \theta=\frac{3 \sqrt{10}}{10}$ .

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Problem 23455

Is the value of $\sin \left(\frac{\pi}{12}\right) = \frac{\sqrt{2-\sqrt{3}}}{2}$ exact or approximate? Explain.

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Problem 23456

Calculate the value of $\tan \frac{\pi}{6} - \sin \frac{\pi}{3}$ without a calculator.

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Problem 23457

Simplify the expression: $\sqrt[3]{\left(x^{2} y^{3} z^{4}\right)^{2}}$

See Solution

Problem 23458

Solve for $0^{\circ} \leq \theta < 360^{\circ}$ where $\cos \theta = \frac{1}{2}$ . What are the values of $\theta$ ?

See Solution

Problem 23459

Calculate the value of $\tan \frac{\pi}{6} - \sin \frac{\pi}{3}$ without a calculator.

See Solution

Problem 23460

Find the sum of the infinite geometric series with $a_{n}=64\left(\frac{1}{4}\right)^{n-1}$ .

See Solution

Problem 23461

Find the exact value of $\csc \theta$ given $\sin \theta=\frac{1}{4}$ and $\cos \theta=\frac{\sqrt{15}}{4}$ .

See Solution

Problem 23462

Find the value of $\cot A$ in triangle $ABC$ where $b=5$ and $c=6$ . Provide exact answers with rational denominators.

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Problem 23463

Find the length of side $a$ in triangle $ABC$ with $b=13.5$ , $c=8.9$ , and $\angle A = 29^{\circ}$ .

See Solution

Problem 23464

Identify the conic section for the equation $9 x^{2}+4 y^{2}=36$ : Ellipse, Parabola, Circle, or Hyperbola?

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Problem 23465

Solve the system: 3x + 5y = -7 and 14x - 9y = 32. Choose from (2,1), (-2,1), (1,-2), (1,2).

See Solution

Problem 23466

Find the exact value of $\tan \frac{\pi}{4}$ . Options: $\frac{\sqrt{3}}{3}$ , $-1$ , 0, 1.

See Solution

Problem 23467

Find the exact value of $\tan (30 \pi)$ using a coterminal angle. Options: -1, 0, 1, undefined.

See Solution

Problem 23468

Find $\csc B$ for a right triangle with sides $a=5$ and $b=6$ . Provide exact answers with rational denominators.

See Solution

Problem 23469

Simplify the expression: $-5 r(r+s)^2$

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Problem 23470

Find the exact value of $-\frac{\sec 10^{\circ}}{\csc 50^{\circ}}$ using identities. Choices: $-1$ , $1$ , $0$ , undefined.

See Solution

Problem 23471

Find the exact value of $\tan(-690^{\circ})$ using a coterminal angle, without a calculator. Choices: $\frac{\sqrt{3}}{3}$ , $\sqrt{3}$ , $-\sqrt{3}$ , $\frac{\sqrt{3}}{2}$ .

See Solution

Problem 23472

Find the derivative $f'(x)$ of the function $f(x) = x^2 - 5$ .

See Solution

Problem 23473

Simplify and factor $-5\left(x^{2}+\frac{6}{5} x+\frac{5}{2}\right)-40+15$ .

See Solution

Problem 23474

Complete the square and find the vertex of the function $s(x)=-5 x^{2}-30 x-40$ .

See Solution

Problem 23475

Given point $(-3,-4)$ , find $\sec \theta$ . Options: $-\frac{3}{5}$ , $-\frac{5}{3}$ , $\frac{5}{4}$ , $\frac{4}{3}$ .

See Solution

Problem 23476

Find the exact value of $\sin \frac{5 \pi}{3}$ using the reference angle, without a calculator. Options: $-\frac{1}{2}$ , $\frac{\sqrt{3}}{2}$ , $-1$ , $-\frac{\sqrt{3}}{2}$ .

See Solution

Problem 23477

Find $f(45^{\circ})$ for $f(\theta)=\sin \theta$ . What is the value? Options: $\frac{\sqrt{2}}{2}$ , $\frac{1}{2}$ , $\sqrt{2}$ , $-\frac{\sqrt{2}}{2}$ .

See Solution

Problem 23478

Find $\sec \theta$ for the point $P(-3,-1)$ on the circle $x^{2}+y^{2}=r^{2}$ .

See Solution

Problem 23479

Find $\theta$ in $[0^{\circ}, 90^{\circ}]$ such that $\tan \theta = 0.75248493$ . Calculate $\theta \approx$ .

See Solution

Problem 23480

Find the domain of the function $f(x)=\sqrt[4]{17-x}$ .

See Solution

Problem 23481

Find the domain of the function $f(x)=\frac{1}{x-2}$ .

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Problem 23482

Is the statement true or false? Evaluate if $1+\tan^{2} 30.1^{\circ} = -\sec^{2} 30.1^{\circ}$ .

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Problem 23483

Find the domain of the function $g(x)=\frac{8 x}{x^{2}-9}$ .

See Solution

Problem 23484

Simplify the expression: $\sqrt[3]{8 y^{27}}$

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Problem 23485

Calculate: $\frac{8}{5} + \frac{6}{4} - \frac{9}{10} + \frac{2}{25} - \frac{3}{2} =$

See Solution

Problem 23486

Find the vertex of the quadratic function $3 x^{2}+10 x-3$ .

See Solution

Problem 23487

Graph the function defined as: $f(x) = -3 - x$ for $x \leq 1$ and $f(x) = -3 + 2x$ for $x > 1$ .

See Solution

Problem 23488

Find the vertex of the quadratic function $2x^{2} - 2x - 4$ .

See Solution

Problem 23489

Find the derivative $f^{\prime}(x)$ for the function $f(x)=7 x^{2}+x$ .

See Solution

Problem 23490

Find the equation of the axis of symmetry for the function $2x^{2} - 2x - 4$ .

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Problem 23491

An employee's Medicare tax is given by a piecewise function. Find $f(0)$ , $f(200)$ , and $f(400)$ for $f(x)$ .
$f(x)=\left\{\begin{array}{ll} 13.5 x & \text { if } 0 \leq x \leq 200 \\ 2700+26.5(x-200) & \text { if } x>200 \end{array}\right.$

See Solution

Problem 23492

Calculate the Medicare tax function values for $x = 0$ , $200$ , and $400$ using the piecewise function defined for 2022.

See Solution

Problem 23493

Determine the quadrant for angle $\theta$ where $\sin \theta > 0$ and $\cos \theta > 0$ .

See Solution

Problem 23494

Find the derivative $R'(t)$ for $R(t) = -0.1 t^{2}$ and calculate $R'(1)$ .

See Solution

Problem 23495

Realiza la operación de $5 x^{3} y(2 x+3 y-4)$ .

See Solution

Problem 23496

Find the derivative of $R(t)=-0.1 t^{2}$ and evaluate it at $t=1$ . What is $R'(1)$ ?

See Solution

Problem 23497

Find the reference angle for the angle $-\frac{42 \pi}{8}$ .

See Solution

Problem 23498

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

See Solution

Problem 23499

Find the reference angle for $-\frac{42 \pi}{8}$ . Options: $\frac{\pi}{4}$ , $\frac{\pi}{2}$ , $\frac{\pi}{3}$ , $\frac{\pi}{8}$ .

See Solution

Problem 23500

Find $\cot \theta$ if $\cos \theta = \frac{21}{29}$ and $\frac{3 \pi}{2} < \theta < 2 \pi$ .

See Solution

1 ...232 233 234 235 236 237 238 ...269

Math Statement

Problem 23401

Evaluate b−2yb - 2yb−2y for b=−3b = -3b=−3 and y=3y = 3y=3.

Problem 23402

Calculate 634+2456 \frac{3}{4}+2 \frac{4}{5}643​+254​.

Problem 23403

Use the distributive property: (7×3)−(7×2)=7×(7 \times 3)-(7 \times 2)=7 \times(7×3)−(7×2)=7× __.

Problem 23404

Problem 23405

Solve for ttt using the square root property: 2t2−45=−192 t^{2}-45=-192t2−45=−19. Find t=t=t=.

Problem 23406

Complete the square for the equation p2+14p−33=10p^{2}+14 p-33=10p2+14p−33=10. Write it as (p−a)2=b(p-a)^{2}=b(p−a)2=b and find p=p=p=.

Problem 23407

Solve the equation 4m2−3m−2=04 m^{2}-3 m-2=04m2−3m−2=0 using the quadratic formula and list solutions in simplest radical form.

Problem 23408

Solve: −1x+68=x−12\sqrt{-1 x+68}=x-12−1x+68​=x−12. Find x=x=x= (Separate answers with commas; use integers or reduced fractions. If none, enter DNE.)

Problem 23409

Solve for xxx: x3/5=8x^{3/5} = 8x3/5=8

Problem 23410

Solve a2=15a−56a^{2}=15 a-56a2=15a−56. Find a=a=a=. If multiple solutions, separate with a comma.

Problem 23411

Solve the equation 3r3−12r=−2r2+83 r^{3}-12 r=-2 r^{2}+83r3−12r=−2r2+8 for real values of rrr. Provide answers as integers or simplified fractions, separated by commas.

Problem 23412

Find the six trigonometric functions for the angle 750∘750^{\circ}750∘. Simplify sin⁡750∘=\sin 750^{\circ}=sin750∘=.

Problem 23413

Solve for xxx: 12<−14(x+3)<1512 < -14(x+3) < 1512<−14(x+3)<15. Type DNE if no solution exists. Provide your answer in interval notation.

Problem 23414

Find the intersection point of the lines defined by y=3xy=3xy=3x and y=−4x−49y=-4x-49y=−4x−49.

Problem 23415

Solve the inequality: -6 ≤ x + 12. Provide the solution in interval notation.

Problem 23416

Solve the quadratic p2+14p−33=10p^{2}+14 p-33=10p2+14p−33=10 by completing the square. Give the equation as (p−a)2=b(p-a)^{2}=b(p−a)2=b and list solutions.

Problem 23417

Find the six trigonometric function values for the angle 420∘420^{\circ}420∘. Calculate sin⁡420∘=\sin 420^{\circ}=sin420∘=.

Problem 23418

Find the derivative f′(x)f^{\prime}(x)f′(x) of the function f(x)=9x−2f(x)=9x-2f(x)=9x−2.

Problem 23419

Find the six trigonometric functions for the angle 420∘420^{\circ}420∘.

Problem 23420

Calculate 8×10−1+6.9×1038 \times 10^{-1} + 6.9 \times 10^{3}8×10−1+6.9×103.

Problem 23421

Solve the equation 4m2−3m−2=04 m^{2}-3 m-2=04m2−3m−2=0 using the quadratic formula. Provide solutions in simplest radical form.

Problem 23422

Calculate 2.74×10−1−6.53×10−42.74 \times 10^{-1} - 6.53 \times 10^{-4}2.74×10−1−6.53×10−4.

Problem 23423

Find f(64)f(64)f(64) given the function f(x)=9xf(x)=9 \sqrt{x}f(x)=9x​. What is f(64)=?f(64)=?f(64)=?

Problem 23424

Find the six trigonometric functions for the angle −330∘-330^{\circ}−330∘. Calculate sin⁡(−330∘)=\sin \left(-330^{\circ}\right)=sin(−330∘)= (simplify and rationalize).

Problem 23425

Calculate 5.9×10−2−0.078×1035.9 \times 10^{-2} - 0.078 \times 10^{3}5.9×10−2−0.078×103.

Problem 23426

Calculate 6.36×103−5.8×10−16.36 \times 10^{3} - 5.8 \times 10^{-1}6.36×103−5.8×10−1.

Problem 23427

Find the six trigonometric function values for the angle −1650∘-1650^{\circ}−1650∘. Calculate sin⁡(−1650∘)\sin \left(-1650^{\circ}\right)sin(−1650∘).

Problem 23428

Find f(10)f(10)f(10) for the function f(x)=5x+x2+10f(x)=5x+x^{2}+10f(x)=5x+x2+10. What is f(10)f(10)f(10)?

Problem 23429

Calculate the product of 1.08×10−31.08 \times 10^{-3}1.08×10−3 and 9.3×10−39.3 \times 10^{-3}9.3×10−3.

Problem 23430

Find f(5.75)f(5.75)f(5.75) using the function f(x)=5.98xf(x)=\frac{5.98}{x}f(x)=x5.98​. Provide the answer as a decimal or whole number.

Problem 23431

Convert 86twelve 86_{\text {twelve }}86twelve ​ to decimal. What is the decimal value?

Problem 23432

Convert the number 86twelve86_{\text{twelve}}86twelve​ to decimal.

Problem 23433

Find when the water ride height y=3sin⁡(π2(x+3)−2)y=3 \sin \left(\frac{\pi}{2}(x+3)-2\right)y=3sin(2π​(x+3)−2) is 1 foot below the start in 0<x<50<x<50<x<5.

Problem 23434

Find the six trigonometric functions for the angle −2025∘-2025^{\circ}−2025∘. Simplify sin⁡(−2025∘)=\sin(-2025^{\circ})=sin(−2025∘)=.

Problem 23435

Find the exact value of cot⁡(−855)∘\cot (-855)^{\circ}cot(−855)∘. Simplify your answer, including radicals, using integers or fractions.

Problem 23436

Find the exact value of sin⁡1020∘\sin 1020^{\circ}sin1020∘. Simplify your answer with integers, fractions, or radicals.

Problem 23437

Find f(34.58)f(34.58)f(34.58) using the rule f(x)=0.0738.58−xf(x)=0.07 \sqrt{38.58-x}f(x)=0.0738.58−x​. What is f(34.58)f(34.58)f(34.58)?

Problem 23438

Evaluate sin⁡2240∘−cos⁡2270∘+tan⁡245∘\sin ^{2} 240^{\circ}-\cos ^{2} 270^{\circ}+\tan ^{2} 45^{\circ}sin2240∘−cos2270∘+tan245∘ and simplify your answer.

Problem 23439

Evaluate cos⁡230∘+sec⁡2150∘−csc⁡2210∘\cos ^{2} 30^{\circ}+\sec ^{2} 150^{\circ}-\csc ^{2} 210^{\circ}cos230∘+sec2150∘−csc2210∘ and simplify your answer.

Problem 23440

Find all θ\thetaθ in [0∘,360∘)[0^{\circ}, 360^{\circ})[0∘,360∘) such that sin⁡θ=12\sin \theta=\frac{1}{2}sinθ=21​. What are the values of θ\thetaθ?

Evaluate $b - 2y$ for $b = -3$ and $y = 3$ .

Calculate $6 \frac{3}{4}+2 \frac{4}{5}$ .

Use the distributive property: $(7 \times 3)-(7 \times 2)=7 \times$ __.

Solve for $t$ using the square root property: $2 t^{2}-45=-19$ . Find $t=$ .

Complete the square for the equation $p^{2}+14 p-33=10$ . Write it as $(p-a)^{2}=b$ and find $p=$ .

Solve the equation $4 m^{2}-3 m-2=0$ using the quadratic formula and list solutions in simplest radical form.

Solve: $\sqrt{-1 x+68}=x-12$ . Find $x=$ (Separate answers with commas; use integers or reduced fractions. If none, enter DNE.)

Solve for $x$ : $x^{3/5} = 8$

Solve $a^{2}=15 a-56$ . Find $a=$ . If multiple solutions, separate with a comma.

Solve the equation $3 r^{3}-12 r=-2 r^{2}+8$ for real values of $r$ . Provide answers as integers or simplified fractions, separated by commas.

Find the six trigonometric functions for the angle $750^{\circ}$ . Simplify $\sin 750^{\circ}=$ .

Solve for $x$ : $12 < -14(x+3) < 15$ . Type DNE if no solution exists. Provide your answer in interval notation.

Find the intersection point of the lines defined by $y=3x$ and $y=-4x-49$ .

Solve the quadratic $p^{2}+14 p-33=10$ by completing the square. Give the equation as $(p-a)^{2}=b$ and list solutions.

Find the six trigonometric function values for the angle $420^{\circ}$ . Calculate $\sin 420^{\circ}=$ .

Find the derivative $f^{\prime}(x)$ of the function $f(x)=9x-2$ .

Find the six trigonometric functions for the angle $420^{\circ}$ .

Calculate $8 \times 10^{-1} + 6.9 \times 10^{3}$ .

Solve the equation $4 m^{2}-3 m-2=0$ using the quadratic formula. Provide solutions in simplest radical form.

Calculate $2.74 \times 10^{-1} - 6.53 \times 10^{-4}$ .

Find $f(64)$ given the function $f(x)=9 \sqrt{x}$ . What is $f(64)=?$

Find the six trigonometric functions for the angle $-330^{\circ}$ . Calculate $\sin \left(-330^{\circ}\right)=$ (simplify and rationalize).

Calculate $5.9 \times 10^{-2} - 0.078 \times 10^{3}$ .

Calculate $6.36 \times 10^{3} - 5.8 \times 10^{-1}$ .

Find the six trigonometric function values for the angle $-1650^{\circ}$ . Calculate $\sin \left(-1650^{\circ}\right)$ .

Find $f(10)$ for the function $f(x)=5x+x^{2}+10$ . What is $f(10)$ ?

Calculate the product of $1.08 \times 10^{-3}$ and $9.3 \times 10^{-3}$ .

Find $f(5.75)$ using the function $f(x)=\frac{5.98}{x}$ . Provide the answer as a decimal or whole number.

Convert $86_{\text {twelve }}$ to decimal. What is the decimal value?

Convert the number $86_{\text{twelve}}$ to decimal.

Find when the water ride height $y=3 \sin \left(\frac{\pi}{2}(x+3)-2\right)$ is 1 foot below the start in $0<x<5$ .

Find the six trigonometric functions for the angle $-2025^{\circ}$ . Simplify $\sin(-2025^{\circ})=$ .

Find the exact value of $\cot (-855)^{\circ}$ . Simplify your answer, including radicals, using integers or fractions.

Find the exact value of $\sin 1020^{\circ}$ . Simplify your answer with integers, fractions, or radicals.

Find $f(34.58)$ using the rule $f(x)=0.07 \sqrt{38.58-x}$ . What is $f(34.58)$ ?

Evaluate $\sin ^{2} 240^{\circ}-\cos ^{2} 270^{\circ}+\tan ^{2} 45^{\circ}$ and simplify your answer.

Evaluate $\cos ^{2} 30^{\circ}+\sec ^{2} 150^{\circ}-\csc ^{2} 210^{\circ}$ and simplify your answer.

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\sin \theta=\frac{1}{2}$ . What are the values of $\theta$ ?

Solve the equation $-2 \sin ^{2} \theta+\cos \theta=-1$ for $0 \leq \theta<2 \pi$ .

Solve $-2 \sin ^{2} \theta+\cos \theta=-1$ for $0 \leq \theta<2 \pi$ . Options include $\frac{\pi}{3}, \pi$ .

Find all values of $\theta$ in $[0^{\circ}, 360^{\circ})$ where $\csc \theta=\frac{2 \sqrt{3}}{3}$ .

Find $\tan A$ in triangle $ABC$ (right angle at $C$ ) with sides $a=6$ and $b=7$ . Provide exact answers.

Find the exact value of $\csc \frac{\pi}{6}$ without a calculator. Options: $\sqrt{2}$ , $\frac{2 \sqrt{3}}{3}$ , 2, $\frac{1}{2}$ .

Find $\sin A$ for right triangle $\mathrm{ABC}$ with sides $a=5$ and $b=3$ . Exact answers only.

Find the exact value of $\sec \frac{9 \pi}{4}$ using a coterminal angle without a calculator. Options: $\frac{\sqrt{2}}{2}$ , $\frac{2 \sqrt{3}}{3}$ , $\sqrt{2}$ , 2.

Find the exact value of $\sec \left(\frac{\pi}{2}-\theta\right)$ if $\tan \theta=2$ . Choices: $\sqrt{5}$ , $\frac{\sqrt{5}}{2}$ , 2, $\frac{1}{2}$ .

Solve for $\theta$ in the equation $2 \sin (\theta) = 0.651$ .

Find $\cos A$ for a right triangle with sides $a=5$ and $b=2$ . Provide the exact answer with a rational denominator.

Find the product and simplify: $(x+8)^{2}$ .

Convert $52.4_{8}$ (octal) to decimal (base ten).

Calculate the value of $1 - \sin^2 30^{\circ} - \sin^2 60^{\circ}$ without a calculator. Options: $\frac{1-\sqrt{3}}{2}$ , 1, 0, $\frac{1}{4}$ .

Find $\cot \theta$ if $\cos \theta=\frac{3 \sqrt{10}}{10}$ .

Is the value of $\sin \left(\frac{\pi}{12}\right) = \frac{\sqrt{2-\sqrt{3}}}{2}$ exact or approximate? Explain.

Calculate the value of $\tan \frac{\pi}{6} - \sin \frac{\pi}{3}$ without a calculator.

Simplify the expression: $\sqrt[3]{\left(x^{2} y^{3} z^{4}\right)^{2}}$

Solve for $0^{\circ} \leq \theta < 360^{\circ}$ where $\cos \theta = \frac{1}{2}$ . What are the values of $\theta$ ?

Calculate the value of $\tan \frac{\pi}{6} - \sin \frac{\pi}{3}$ without a calculator.

Find the sum of the infinite geometric series with $a_{n}=64\left(\frac{1}{4}\right)^{n-1}$ .

Find the exact value of $\csc \theta$ given $\sin \theta=\frac{1}{4}$ and $\cos \theta=\frac{\sqrt{15}}{4}$ .

Find the value of $\cot A$ in triangle $ABC$ where $b=5$ and $c=6$ . Provide exact answers with rational denominators.

Find the length of side $a$ in triangle $ABC$ with $b=13.5$ , $c=8.9$ , and $\angle A = 29^{\circ}$ .

Identify the conic section for the equation $9 x^{2}+4 y^{2}=36$ : Ellipse, Parabola, Circle, or Hyperbola?

Find the exact value of $\tan \frac{\pi}{4}$ . Options: $\frac{\sqrt{3}}{3}$ , $-1$ , 0, 1.

Find the exact value of $\tan (30 \pi)$ using a coterminal angle. Options: -1, 0, 1, undefined.

Find $\csc B$ for a right triangle with sides $a=5$ and $b=6$ . Provide exact answers with rational denominators.

Simplify the expression: $-5 r(r+s)^2$

Find the exact value of $-\frac{\sec 10^{\circ}}{\csc 50^{\circ}}$ using identities. Choices: $-1$ , $1$ , $0$ , undefined.

Find the exact value of $\tan(-690^{\circ})$ using a coterminal angle, without a calculator. Choices: $\frac{\sqrt{3}}{3}$ , $\sqrt{3}$ , $-\sqrt{3}$ , $\frac{\sqrt{3}}{2}$ .

Find the derivative $f'(x)$ of the function $f(x) = x^2 - 5$ .

Simplify and factor $-5\left(x^{2}+\frac{6}{5} x+\frac{5}{2}\right)-40+15$ .

Complete the square and find the vertex of the function $s(x)=-5 x^{2}-30 x-40$ .