Math

Problem 301

Determine which set(s) the number $\frac{2}{7}$ belongs to: Natural (N), Whole (W), Integers (I), Rational (Q), Irrational (S), Real (R).

See Solution

Problem 302

Solve for the value of $p$ in the equation $3p = 5 - 2p$ .

See Solution

Problem 303

Find the margin of error for $c=0.95$ , $s=4$ , and $n=8$ .

See Solution

Problem 304

Evaluate the expressions $c-9$ for $c=11$ , $b+16$ for $b=4$ , and $a-4$ for $a=y$ .

See Solution

Problem 305

Solve the equations $3(x-4)=x+2$ , $\frac{2}{3}x-\frac{1}{2}=\frac{1}{3}x+\frac{5}{2}$ , and $\frac{1}{5}(10x-5)=3x+2$ . Determine which statements are true.

See Solution

Problem 306

Test whether the mean retirement age of women executives is different from the reported 62.7 years, given a sample of 80 with $\sigma = 4.7$ years.
$\begin{array}{l} H_{0}: \mu = 62.7 \\ H_{a}: \mu \neq 62.7 \end{array}$

See Solution

Problem 307

Find the number of children and adults admitted to the amusement park given that the admission fee is $\$ 2.50$ for children and $\$ 6.40$ for adults, and the total admission fees collected was $\$ 986$ from 215 people.

See Solution

Problem 308

Evaluate the formula $\chi^{2}=\frac{(n-1) s^{2}}{\sigma^{2}}$ given $\sigma=1.57, n=40, s=3.23$ . Round $\chi^{2}$ to three decimal places.

See Solution

Problem 309

Find the equation with solution $k=6.5$ .

See Solution

Problem 310

Find the conjugate of $7-\sqrt{x+3}$ when $x \geq -3$ .

See Solution

Problem 311

Determine if the point $(6,30)$ satisfies the equation $x=6$ .

See Solution

Problem 312

Find the solution to the quadratic equation $x^{2} = 8x + 9$ by completing the square.

See Solution

Problem 313

Solve the division of two rational expressions: $(x+7)/(x^2+4x-21)$ divided by $(x+5)/(x^2+8x+15)$ .

See Solution

Problem 314

Find all possible outcomes when tossing 4 fair coins, then list the ways to get at least 2 tails.

See Solution

Problem 315

Solve for $x$ in the equation $y-2=-3(x-5)$ .

See Solution

Problem 316

Solve the absolute value equation $|5t-1| = 6$ for the value of $t$ .

See Solution

Problem 317

Find the equation of a line with slope -2.

See Solution

Problem 318

Solve the quadratic equation $x^{2} + 8x = 9$ . Write the expanded and factored forms, a solution, and check your work.

See Solution

Problem 319

Solve the equation $6(x+4)=8(x+2.8)$ .

See Solution

Problem 320

Multiply $28y(y-24)$ and enter the correct answer.

See Solution

Problem 321

Solve the division problems: $88 \div 11 = \frac{8}{1}$ , $11 \div 0$ , $360 \div 70$ , $132 \div 12$ , $240 \div 80$ , and $431 \div 58$ .

See Solution

Problem 322

Simplify the expression $2p - 5p + 4$ .

See Solution

Problem 323

Find the decibel level of a noise that produces $2.72 \times 10^{-5}$ watt/m $^2$ of power, given the formula $\mathrm{D}=10 \mathrm{log}\left(\mathrm{S} / \mathrm{S}_{0}\right)$ where $\mathrm{S}_{0}$ is $10^{-12}$ watt/m $^2$ . (Round to the nearest decibel.)

See Solution

Problem 324

Which isotope of oxygen is not naturally occurring? $\{$ a. Oxygen-16, b. Oxygen-17, c. Ozone, d. Oxygen-15 $\}$

See Solution

Problem 325

Solve the absolute value equation $|y+4|=8.5$ for the value of $y$ .

See Solution

Problem 326

Multiply $6x(-5x^4)$ and simplify the result.

See Solution

Problem 327

Solve the absolute value equation $|4x-10|-11=-5$ .

See Solution

Problem 328

Find the width of a rectangle with a $27.1 \mathrm{~m}$ diagonal that makes a $32.5^{\circ}$ angle with the length, to the nearest tenth of a metre.

See Solution

Problem 329

When can a quadratic function have an inverse? A) When its range is restricted B) When its domain is restricted C) When all $x$ -values are $>-1$ D) When all $y$ -values are $>-1$

See Solution

Problem 330

Solve for $c$ in the equation $-2c = -18$ .

See Solution

Problem 331

Solve the equation $4^{-x+3}=4^{-3 x}$ .

See Solution

Problem 332

Expand the expression $(3 x-2)(x+5)$ and find the coefficients of the resulting quadratic expression.

See Solution

Problem 333

Find all solutions, including complex, for the nonlinear system: $7x^2 - 9y^2 = 42$ , $21x^2 + 5y^2 = 126$ .

See Solution

Problem 334

Solve the following linear equations, showing your work. 1) $15-2x=3x$ 2) $26-4x=9x$ 3) $5x-9=2x+12$ 4) $8x+10=35+3x$ 5) $5x+16=6-5x$

See Solution

Problem 335

Find the roots of the quadratic equation $f(x) = 5x^2 + 6x + 1$ .

See Solution

Problem 336

Write the quadratic equation with roots $x = 5$ and $x = 6$ , and leading coefficient $5$ .

See Solution

Problem 337

Find the equation of the line through $(-2,6)$ and $(2,-12)$ , then determine which points $[(7,34.5), (4,-21), (5,25.5), (-7,28.5), (-4,21)]$ also lie on the line.

See Solution

Problem 338

Add the two rational expressions $\frac{x+3}{x+4}$ and $\frac{x-4}{x-3}$ , and simplify the result to lowest terms.

See Solution

Problem 339

Yusuf uses a mirror to measure the height of his school building. He walks 13.95 m, places a mirror with an X, steps 2.15 m, and his eye height is 1.35 m. Find the school's height rounded to the nearest hundredth of a meter.

See Solution

Problem 340

Compute the area between the graph of $f$ and the $x$ -axis on interval $I$ . a) $f(x)=3x-6, I=[-2; 6]$ b) $f(x)=\cos(x), I=[0; 2\pi]$

See Solution

Problem 341

Find the number of books the publisher must produce and sell to break even, given fixed costs of $\$77,142$ , variable costs of $\$8.25$ per book, and a selling price of $\$25.50$ per book.

See Solution

Problem 342

Find the area in square inches of a scale drawing of a classroom floor that is 34 ft long and 36 ft wide, if the scale drawing has a length of 17 inches.

See Solution

Problem 343

Solve $x=2Y+6z-y^2$ for $x$ given $y=6$ and $z=2$ . A) 12 B) 11 C) -11 D) -12

See Solution

Problem 344

Find the $y$ -intercept of linear function $y = \frac{3}{4}x + 2$ and compare it to the $y$ -intercepts of the points for function B. Determine which statement is true about the $y$ -intercepts.

See Solution

Problem 345

Solve $\sqrt{3}(3x-1)+\pi x=0$ numerically to the nearest tenth.

See Solution

Problem 346

Determine if the following are valid statistical questions: a) How much money do high-school students typically carry? b) How many quarters equal $\$10$ ?

See Solution

Problem 347

Find the values of $x$ that satisfy the inequality $|x| + 28 < 15$ .

See Solution

Problem 348

Express velocity $v$ in terms of time $t$ using the equation $t=\frac{v}{4}+1$ .

See Solution

Problem 349

Find the angle $\theta$ where $\cos \theta = \sin (\theta - 30^\circ)$ .

See Solution

Problem 350

Solve the radical equation $\sqrt{5 x+50}=x$ , and check all proposed solutions.

See Solution

Problem 351

Solve $\left(z-7\right)^{\frac{4}{3}}=5$ for real number $z$ .

See Solution

Problem 352

To find $5b$ , solve $15b = -60$ for $b$ , then multiply $b$ by $5$ .

See Solution

Problem 353

Solve the linear equation $10-6v=-104$ for the variable $v$ .

See Solution

Problem 354

Find the minimum point of the curve $y = x^2 - 6x + 5$ by completing the square.

See Solution

Problem 355

Find the difference between $\frac{4}{5}$ and $-\frac{3}{10}$ , and express the answer as a simplified fraction.

See Solution

Problem 356

Evaluate the derivative $\frac{d}{d x}[(f \circ f)(x)]$ at $x=1$ given the provided table of $f(x)$ and $f'(x)$ values.

See Solution

Problem 357

Find the value of $f(-3)$ when the polynomial $f(x)=3x^2-25x+k$ has a remainder of 0 when divided by $(x-6)$ .

See Solution

Problem 358

Solve the equation $49=1-(x+1)$ for x.

See Solution

Problem 359

Find the present value of $\$ 2652.15$ at $4.3\%$ annual interest rate for $7$ years.

See Solution

Problem 360

Find the percentage equivalent of the fraction $\frac{21}{25}$ .

See Solution

Problem 361

Simplify the expressions: $(3 m + 6)(4 m + 11)$ and $5 x(x - 4) - 2 x(x + 6)$ .

See Solution

Problem 362

Choose the expression for $2 + 6j$ .

See Solution

Problem 363

Find the value of $3^{3} + 3$ . Options: A. 12, B. 30, C. 27, D. 9.

See Solution

Problem 364

Subtract two polynomials and simplify the result: $(-3x^5 + 9x^4 - 2x^3 + 2x^2) - (11x^5 + 7x^3 + 8x^2 + 6x)$ .

See Solution

Problem 365

Solve $\ln (2x-1)=8$ . Round the solution to the nearest thousandth.

See Solution

Problem 366

Solve for the value of $v$ in the quadratic equation $-8v-3=5v^2$ .

See Solution

Problem 367

Solve the rational equation $\frac{8 x-16}{2 x-12}=-4$ .

See Solution

Problem 368

Find the product of the sum and difference of two terms: $(7x^2 + 3)(7x^2 - 3)$ .

See Solution

Problem 369

Find the image coordinates of a point $Q(-5,1)$ under the transformation $(x, y) \rightarrow(-y,-x)$ .

See Solution

Problem 370

Find the solution to the linear equation $3x - 2 = 12(10x - 3)$ .

See Solution

Problem 371

Find the probability that a standard normal random variable $z$ is less than 0.24 or greater than or equal to -0.42.

See Solution

Problem 372

Find the value of $k$ that makes $x^2 - kx + 121 = 0$ a perfect square trinomial.

See Solution

Problem 373

Solve the quadratic equation $x^2 + 3x - 18 = 0$ and find its real-valued solutions.

See Solution

Problem 374

Fetal head circumference $H$ depends on age $t$ in weeks as $H=-30.04+1.802t^2-0.9032t^2\log t$ . (a) Calculate $\frac{dH}{dt}$ . (b) Is $\frac{dH}{dt}$ larger at $t=8$ or $t=36$ weeks? (c) Repeat (b) for $\frac{1}{H}\frac{dH}{dt}$ . (a) $\frac{dH}{dt}=3.604t-0.9032t\log t-0.9032t$ .

See Solution

Problem 375

Solve and graph the inequality $8 > |2x + 3|$ , rounding the solution to the nearest tenth.

See Solution

Problem 376

Find the value of $5 \frac{7}{10}$ of 200.

See Solution

Problem 377

Find the values of $x$ that cannot be solutions to the equation $\frac{3 x}{3 x-8}-4=\frac{8}{7 x}$ .

See Solution

Problem 378

Write a linear function $f$ with given values: $f(-4)=-2$ , $f(-2)=-1$ , $f(0)=0$ . Find the equation of $f(x)$ .

See Solution

Problem 379

Solve the equation $|x+4| + 8 = 6$ or determine if no solution exists.

See Solution

Problem 380

Solve for $c$ in the equation $3(2c+7)=4c+39$ .

See Solution

Problem 381

Find the amount of hazelnuts and peanuts to make a 41 lb mixture that sells for $\$ 6.04$ per pound.

See Solution

Problem 382

Solve the linear equation $0=2y-8x+10$ for $y$ .

See Solution

Problem 383

Simplify the expression $19-(-8)-(-14)$ .

See Solution

Problem 384

Find the equation that represents a linear function: A. $y=\frac{1}{2} x^{2}-5$ B. $y=\frac{1}{2} x^{3}-5$ C. $y=\frac{1}{2} x+5$ D. $y=\left(\frac{1}{2}\right)^{x}-5$

See Solution

Problem 385

Find the coordinates of the points where the circle $x^2 + y^2 = 16$ intersects the parabola $y = x^2 - x - 5$ . Round to the nearest hundredth.

See Solution

Problem 386

Find the 5th term of the sequence $a_n = -43(-2)^{n-1}$ . Write the answer as a decimal or integer.

See Solution

Problem 387

Simplify the expression $16x^{2} - 9$ .

See Solution

Problem 388

Solve the linear equation $2x - 6 = 10$ for the value of $x$ .

See Solution

Problem 389

Find the slope of a 120-inch waterslide with a 56-inch height for children's play.
Simplified problem statement: What is the slope of a waterslide with a run of $120$ inches and a height of $56$ inches?

See Solution

Problem 390

Find the equation that shows how to multiply $1,000,000$ and $1,000,000$ using scientific notation: $A. (1 \times 10^{6}) \times (1 \times 10^{6}) = 1 \times 10^{12}$

See Solution

Problem 391

Solve for $a$ in the equation $5^{3a-2}=8$ .

See Solution

Problem 392

Find the expression that also defines the function $k(x)=9^x$ .

See Solution

Problem 393

Determine the best-fit model for the data: $\{(x, y) | x = 0, 1, 2, 3, 4, 5; y = -17, -13, -3, 13, 35, 63\}$ .

See Solution

Problem 394

Estimate the sum of 49 and 768 using any method. Write the number sentence for your estimate.

See Solution

Problem 395

Find the expression with product 3.24: $5 \times 0.72$ , $4.5 \times 7.2$ , $0.45 \times 0.72$ , or $0.45 \times 72$ .

See Solution

Problem 396

Find the equation of a function $f(x)$ whose range decreases in $-1<x<1$ and increases in $x>1$ and $x<-1$ . A. $f(x)=x^{2}-2x+1$ B. $f(x)=x^{2}+2x+1$ C. $f(x)=x^{3}+3x+5$ D. $f(x)=x^{3}-3x+5$

See Solution

Problem 397

Find $f(4c-1)$ if $f(x)=7x+1$ , where (A) $28c+6$ , (B) $21c+1$ , (C) $28c+1$ , (D) $28c-6$ .

See Solution

Problem 398

Determine the minimum and maximum value of $f(x) = -8 \cos 2x$ .

See Solution

Problem 399

Elizabeth needs $92/3$ feet of packaging tape. Each roll has $45/6$ feet of tape. How many rolls should Elizabeth buy?

See Solution

Problem 400

Find the inverse cotangent of -1.

See Solution

1 2 3 4 5 6 7 ...659

Math

Problem 301

Determine which set(s) the number 27\frac{2}{7}72​ belongs to: Natural (N), Whole (W), Integers (I), Rational (Q), Irrational (S), Real (R).

Problem 302

Solve for the value of ppp in the equation 3p=5−2p3p = 5 - 2p3p=5−2p.

Problem 303

Find the margin of error for c=0.95c=0.95c=0.95, s=4s=4s=4, and n=8n=8n=8.

Problem 304

Evaluate the expressions c−9c-9c−9 for c=11c=11c=11, b+16b+16b+16 for b=4b=4b=4, and a−4a-4a−4 for a=ya=ya=y.

Problem 305

Solve the equations 3(x−4)=x+23(x-4)=x+23(x−4)=x+2, 23x−12=13x+52\frac{2}{3}x-\frac{1}{2}=\frac{1}{3}x+\frac{5}{2}32​x−21​=31​x+25​, and 15(10x−5)=3x+2\frac{1}{5}(10x-5)=3x+251​(10x−5)=3x+2. Determine which statements are true.

Problem 306

Test whether the mean retirement age of women executives is different from the reported 62.7 years, given a sample of 80 with σ=4.7\sigma = 4.7σ=4.7 years.H0:μ=62.7Ha:μ≠62.7 \begin{array}{l} H_{0}: \mu = 62.7 \\ H_{a}: \mu \neq 62.7 \end{array} H0​:μ=62.7Ha​:μ=62.7​

Problem 307

Find the number of children and adults admitted to the amusement park given that the admission fee is $2.50\$ 2.50$2.50 for children and $6.40\$ 6.40$6.40 for adults, and the total admission fees collected was $986\$ 986$986 from 215 people.

Problem 308

Evaluate the formula χ2=(n−1)s2σ2\chi^{2}=\frac{(n-1) s^{2}}{\sigma^{2}}χ2=σ2(n−1)s2​ given σ=1.57,n=40,s=3.23\sigma=1.57, n=40, s=3.23σ=1.57,n=40,s=3.23. Round χ2\chi^{2}χ2 to three decimal places.

Problem 309

Find the equation with solution k=6.5k=6.5k=6.5.

Problem 310

Find the conjugate of 7−x+37-\sqrt{x+3}7−x+3​ when x≥−3x \geq -3x≥−3.

Problem 311

Determine if the point (6,30)(6,30)(6,30) satisfies the equation x=6x=6x=6.

Problem 312

Find the solution to the quadratic equation x2=8x+9x^{2} = 8x + 9x2=8x+9 by completing the square.

Problem 313

Solve the division of two rational expressions: (x+7)/(x2+4x−21)(x+7)/(x^2+4x-21)(x+7)/(x2+4x−21) divided by (x+5)/(x2+8x+15)(x+5)/(x^2+8x+15)(x+5)/(x2+8x+15).

Problem 314

Find all possible outcomes when tossing 4 fair coins, then list the ways to get at least 2 tails.

Problem 315

Solve for xxx in the equation y−2=−3(x−5)y-2=-3(x-5)y−2=−3(x−5).

Problem 316

Solve the absolute value equation ∣5t−1∣=6|5t-1| = 6∣5t−1∣=6 for the value of ttt.

Problem 317

Find the equation of a line with slope -2.

Problem 318

Solve the quadratic equation x2+8x=9x^{2} + 8x = 9x2+8x=9. Write the expanded and factored forms, a solution, and check your work.

Problem 319

Solve the equation 6(x+4)=8(x+2.8)6(x+4)=8(x+2.8)6(x+4)=8(x+2.8).

Problem 320

Multiply 28y(y−24)28y(y-24)28y(y−24) and enter the correct answer.

Problem 321

Solve the division problems: 88÷11=8188 \div 11 = \frac{8}{1}88÷11=18​, 11÷011 \div 011÷0, 360÷70360 \div 70360÷70, 132÷12132 \div 12132÷12, 240÷80240 \div 80240÷80, and 431÷58431 \div 58431÷58.

Problem 322

Simplify the expression 2p−5p+42p - 5p + 42p−5p+4.

Problem 323

Problem 324

Which isotope of oxygen is not naturally occurring? {\{{a. Oxygen-16, b. Oxygen-17, c. Ozone, d. Oxygen-15}\}}

Problem 325

Solve the absolute value equation ∣y+4∣=8.5|y+4|=8.5∣y+4∣=8.5 for the value of yyy.

Problem 326

Multiply 6x(−5x4)6x(-5x^4)6x(−5x4) and simplify the result.

Problem 327

Solve the absolute value equation ∣4x−10∣−11=−5|4x-10|-11=-5∣4x−10∣−11=−5.

Problem 328

Find the width of a rectangle with a 27.1 m27.1 \mathrm{~m}27.1 m diagonal that makes a 32.5∘32.5^{\circ}32.5∘ angle with the length, to the nearest tenth of a metre.

Problem 329

When can a quadratic function have an inverse? A) When its range is restricted B) When its domain is restricted C) When all xxx-values are >−1>-1>−1 D) When all yyy-values are >−1>-1>−1

Problem 330

Solve for ccc in the equation −2c=−18-2c = -18−2c=−18.

Problem 331

Solve the equation 4−x+3=4−3x4^{-x+3}=4^{-3 x}4−x+3=4−3x.

Problem 332

Expand the expression (3x−2)(x+5)(3 x-2)(x+5)(3x−2)(x+5) and find the coefficients of the resulting quadratic expression.

Problem 333

Find all solutions, including complex, for the nonlinear system: 7x2−9y2=427x^2 - 9y^2 = 427x2−9y2=42, 21x2+5y2=12621x^2 + 5y^2 = 12621x2+5y2=126.

Problem 334

Solve the following linear equations, showing your work. 1) 15−2x=3x15-2x=3x15−2x=3x 2) 26−4x=9x26-4x=9x26−4x=9x 3) 5x−9=2x+125x-9=2x+125x−9=2x+12 4) 8x+10=35+3x8x+10=35+3x8x+10=35+3x 5) 5x+16=6−5x5x+16=6-5x5x+16=6−5x

Problem 335

Find the roots of the quadratic equation f(x)=5x2+6x+1f(x) = 5x^2 + 6x + 1f(x)=5x2+6x+1.

Problem 336

Write the quadratic equation with roots x=5x = 5x=5 and x=6x = 6x=6, and leading coefficient 555.

Problem 337

Find the equation of the line through (−2,6)(-2,6)(−2,6) and (2,−12)(2,-12)(2,−12), then determine which points [(7,34.5),(4,−21),(5,25.5),(−7,28.5),(−4,21)][(7,34.5), (4,-21), (5,25.5), (-7,28.5), (-4,21)][(7,34.5),(4,−21),(5,25.5),(−7,28.5),(−4,21)] also lie on the line.

Problem 338

Add the two rational expressions x+3x+4\frac{x+3}{x+4}x+4x+3​ and x−4x−3\frac{x-4}{x-3}x−3x−4​, and simplify the result to lowest terms.

Problem 339

Yusuf uses a mirror to measure the height of his school building. He walks 13.95 m, places a mirror with an X, steps 2.15 m, and his eye height is 1.35 m. Find the school's height rounded to the nearest hundredth of a meter.

Problem 340

Compute the area between the graph of fff and the xxx-axis on interval III. a) f(x)=3x−6,I=[−2;6]f(x)=3x-6, I=[-2; 6]f(x)=3x−6,I=[−2;6] b) f(x)=cos⁡(x),I=[0;2π]f(x)=\cos(x), I=[0; 2\pi]f(x)=cos(x),I=[0;2π]

Determine which set(s) the number $\frac{2}{7}$ belongs to: Natural (N), Whole (W), Integers (I), Rational (Q), Irrational (S), Real (R).

Solve for the value of $p$ in the equation $3p = 5 - 2p$ .

Find the margin of error for $c=0.95$ , $s=4$ , and $n=8$ .

Evaluate the expressions $c-9$ for $c=11$ , $b+16$ for $b=4$ , and $a-4$ for $a=y$ .

Solve the equations $3(x-4)=x+2$ , $\frac{2}{3}x-\frac{1}{2}=\frac{1}{3}x+\frac{5}{2}$ , and $\frac{1}{5}(10x-5)=3x+2$ . Determine which statements are true.

Test whether the mean retirement age of women executives is different from the reported 62.7 years, given a sample of 80 with $\sigma = 4.7$ years.
$\begin{array}{l} H_{0}: \mu = 62.7 \\ H_{a}: \mu \neq 62.7 \end{array}$

Find the number of children and adults admitted to the amusement park given that the admission fee is $\$ 2.50$ for children and $\$ 6.40$ for adults, and the total admission fees collected was $\$ 986$ from 215 people.

Evaluate the formula $\chi^{2}=\frac{(n-1) s^{2}}{\sigma^{2}}$ given $\sigma=1.57, n=40, s=3.23$ . Round $\chi^{2}$ to three decimal places.

Find the equation with solution $k=6.5$ .

Find the conjugate of $7-\sqrt{x+3}$ when $x \geq -3$ .

Determine if the point $(6,30)$ satisfies the equation $x=6$ .

Find the solution to the quadratic equation $x^{2} = 8x + 9$ by completing the square.

Solve the division of two rational expressions: $(x+7)/(x^2+4x-21)$ divided by $(x+5)/(x^2+8x+15)$ .

Solve for $x$ in the equation $y-2=-3(x-5)$ .

Solve the absolute value equation $|5t-1| = 6$ for the value of $t$ .

Solve the quadratic equation $x^{2} + 8x = 9$ . Write the expanded and factored forms, a solution, and check your work.

Solve the equation $6(x+4)=8(x+2.8)$ .

Multiply $28y(y-24)$ and enter the correct answer.

Solve the division problems: $88 \div 11 = \frac{8}{1}$ , $11 \div 0$ , $360 \div 70$ , $132 \div 12$ , $240 \div 80$ , and $431 \div 58$ .

Simplify the expression $2p - 5p + 4$ .

Which isotope of oxygen is not naturally occurring? $\{$ a. Oxygen-16, b. Oxygen-17, c. Ozone, d. Oxygen-15 $\}$

Solve the absolute value equation $|y+4|=8.5$ for the value of $y$ .

Multiply $6x(-5x^4)$ and simplify the result.

Solve the absolute value equation $|4x-10|-11=-5$ .

Find the width of a rectangle with a $27.1 \mathrm{~m}$ diagonal that makes a $32.5^{\circ}$ angle with the length, to the nearest tenth of a metre.

When can a quadratic function have an inverse? A) When its range is restricted B) When its domain is restricted C) When all $x$ -values are $>-1$ D) When all $y$ -values are $>-1$

Solve for $c$ in the equation $-2c = -18$ .

Solve the equation $4^{-x+3}=4^{-3 x}$ .

Expand the expression $(3 x-2)(x+5)$ and find the coefficients of the resulting quadratic expression.

Find all solutions, including complex, for the nonlinear system: $7x^2 - 9y^2 = 42$ , $21x^2 + 5y^2 = 126$ .

Solve the following linear equations, showing your work. 1) $15-2x=3x$ 2) $26-4x=9x$ 3) $5x-9=2x+12$ 4) $8x+10=35+3x$ 5) $5x+16=6-5x$

Find the roots of the quadratic equation $f(x) = 5x^2 + 6x + 1$ .

Write the quadratic equation with roots $x = 5$ and $x = 6$ , and leading coefficient $5$ .

Find the equation of the line through $(-2,6)$ and $(2,-12)$ , then determine which points $[(7,34.5), (4,-21), (5,25.5), (-7,28.5), (-4,21)]$ also lie on the line.

Add the two rational expressions $\frac{x+3}{x+4}$ and $\frac{x-4}{x-3}$ , and simplify the result to lowest terms.

Compute the area between the graph of $f$ and the $x$ -axis on interval $I$ . a) $f(x)=3x-6, I=[-2; 6]$ b) $f(x)=\cos(x), I=[0; 2\pi]$

Find the number of books the publisher must produce and sell to break even, given fixed costs of $\$77,142$ , variable costs of $\$8.25$ per book, and a selling price of $\$25.50$ per book.

Solve $x=2Y+6z-y^2$ for $x$ given $y=6$ and $z=2$ . A) 12 B) 11 C) -11 D) -12

Find the $y$ -intercept of linear function $y = \frac{3}{4}x + 2$ and compare it to the $y$ -intercepts of the points for function B. Determine which statement is true about the $y$ -intercepts.

Solve $\sqrt{3}(3x-1)+\pi x=0$ numerically to the nearest tenth.

Determine if the following are valid statistical questions: a) How much money do high-school students typically carry? b) How many quarters equal $\$10$ ?

Find the values of $x$ that satisfy the inequality $|x| + 28 < 15$ .

Express velocity $v$ in terms of time $t$ using the equation $t=\frac{v}{4}+1$ .

Find the angle $\theta$ where $\cos \theta = \sin (\theta - 30^\circ)$ .

Solve the radical equation $\sqrt{5 x+50}=x$ , and check all proposed solutions.

Solve $\left(z-7\right)^{\frac{4}{3}}=5$ for real number $z$ .

To find $5b$ , solve $15b = -60$ for $b$ , then multiply $b$ by $5$ .

Solve the linear equation $10-6v=-104$ for the variable $v$ .

Find the minimum point of the curve $y = x^2 - 6x + 5$ by completing the square.

Find the difference between $\frac{4}{5}$ and $-\frac{3}{10}$ , and express the answer as a simplified fraction.

Evaluate the derivative $\frac{d}{d x}[(f \circ f)(x)]$ at $x=1$ given the provided table of $f(x)$ and $f'(x)$ values.

Find the value of $f(-3)$ when the polynomial $f(x)=3x^2-25x+k$ has a remainder of 0 when divided by $(x-6)$ .

Solve the equation $49=1-(x+1)$ for x.

Find the present value of $\$ 2652.15$ at $4.3\%$ annual interest rate for $7$ years.

Find the percentage equivalent of the fraction $\frac{21}{25}$ .

Simplify the expressions: $(3 m + 6)(4 m + 11)$ and $5 x(x - 4) - 2 x(x + 6)$ .

Choose the expression for $2 + 6j$ .

Find the value of $3^{3} + 3$ . Options: A. 12, B. 30, C. 27, D. 9.

Subtract two polynomials and simplify the result: $(-3x^5 + 9x^4 - 2x^3 + 2x^2) - (11x^5 + 7x^3 + 8x^2 + 6x)$ .

Solve $\ln (2x-1)=8$ . Round the solution to the nearest thousandth.

Solve for the value of $v$ in the quadratic equation $-8v-3=5v^2$ .

Solve the rational equation $\frac{8 x-16}{2 x-12}=-4$ .

Find the product of the sum and difference of two terms: $(7x^2 + 3)(7x^2 - 3)$ .

Find the image coordinates of a point $Q(-5,1)$ under the transformation $(x, y) \rightarrow(-y,-x)$ .

Find the solution to the linear equation $3x - 2 = 12(10x - 3)$ .

Find the probability that a standard normal random variable $z$ is less than 0.24 or greater than or equal to -0.42.

Find the value of $k$ that makes $x^2 - kx + 121 = 0$ a perfect square trinomial.

Solve the quadratic equation $x^2 + 3x - 18 = 0$ and find its real-valued solutions.