Browse Math problems in the Studdy Learning Bank!

Problem 401

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

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Problem 402

Multiply the two binomials $(3x-9)(4x-7)$ using the FOIL or BOX method.

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Problem 403

Graph the interval $\{x \in \mathbb{R} | x > 8\}$ on the number line.

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Problem 404

Calculate simple interest for given principal, rate, and time values.
$1000$ at $7\%$ for $3$ years $2500$ at $4.5\%$ for $30$ months $750$ at $2.8\%$ for $78$ weeks

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Problem 405

Given congruent triangles $\triangle ABC \cong \triangle DEF$ with $AB=4x-5$ , $DE=67$ , $\angle C=5y+7$ , and $\angle F=57$ , find $x$ and $y$ .

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Problem 406

Solve for the value of $j$ that satisfies the equation $(7j-9)(8j+9)=0$ .

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Problem 407

Find the algebraic expression for the sum of 5 and $x$ multiplied by 2, then subtracted from 13.

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Problem 408

Express $k^2 - 8k + 20$ as $a(k+b)^2 + c$ . Prove the equation $x^2 - kx + 2k = 5$ has real, distinct roots for all real $k$ .

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Problem 409

Solve the equation $74=8x$ and select the correct answer from the options provided.

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Problem 410

Identify the scalar quantity among force, mass, displacement, and velocity.

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Problem 411

After 100 hours, the fractional part of the battery $B$ still operating is $5^{-0.01 \cdot 100} = 0.368$ .

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Problem 412

Solve for $x$ and $y$ in the linear equation $12y = \frac{8x - 48}{3}$ .

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Problem 413

Calculate the following expressions: a) $21 / 4-0.75-1 / 6+2$ , b) $61 / 6+8+73 / 4$ , c) $81 / 2-3 / 4-1.75$ , d) $0.65+5 / 2-9 / 2$ .

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Problem 414

Find the value of $m$ given the equation $n=6+m$ .

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Problem 415

Solve the quadratic equation $49 x^{2} - 28 x = -4$ .

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Problem 416

Solve the quadratic equation $z^2 - 10z = -50$ .

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Problem 417

Solve for $q$ by completing the square: $q^{2} - 23q = 21$ . Write the solution as an integer, proper/improper fraction in simplest form, or decimal rounded to the nearest hundredth.

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Problem 418

Rewrite the power $3^{4}$ as repeated multiplication, then evaluate the expression.

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Problem 419

Find the zeros of the polynomial $f(x) = x^{3} - x + 2x^{2} - 2$ given that $(x - 1)$ is a factor.

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Problem 420

Solve for $x$ in the equation $2(x+2)=9x+11$ .

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Problem 421

Identify the property that justifies each statement: a) If $2x=y$ and $y=7$ , then $2x=7$ . b) If $\angle X \cong \angle P$ and $\angle P \cong \angle D$ , then $\angle X \cong \angle D$ . c) $m \angle DEF=m \angle DEF$ . d) If $ST=XY$ , then $XY=ST$ .

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Problem 422

Solve for $x$ in the quadratic equation $(x+7)^2 - 49 = 0$ . The solutions are $x = -14, 0$ .

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Problem 423

Simplify the expression $-0.3(3g-0.2)+0.4(-0.8g+10)$ .

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Problem 424

Solve the system of equations: $\frac{12}{x}=\frac{18}{21}=\frac{y}{7}$

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Problem 425

Solve for $x$ in the equation $\frac{\ln (x-2)}{3}=9$ .

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Problem 426

Solve the linear equation $y + 2 = \frac{1}{6}(x - 4)$ for the value of $y$ .

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Problem 427

An art teacher has $70 \frac{1}{2}$ pounds of clay for 20 students. How much clay does each student get? Write the answer as a mixed number.

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Problem 428

Solve for the value of $W$ given the equation $28 = -\frac{4}{9}W$ .

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Problem 429

Solve the equation $-13=-4.6(14-2p)$ , and round the answer to the nearest hundredth.

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Problem 430

Evaluate the expression $(5+4) \cdot (5+3 \cdot 3)$ using the correct order of operations.

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Problem 431

Solve for $w$ in the equation $3+5w=-27$ . Simplify the solution for $w$ .

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Problem 432

Solve the system of linear equations $x - 2y = 4$ and $2x - 4y = -4$ .

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Problem 433

Solve the inequality $x^{2} + 5x - 8 \geq x - 3$ and express the solution set in interval notation.

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Problem 434

Shawna needs to make cupcakes and muffins using at least 460g of sugar and at most 970g of flour. A cupcake requires $35$ g of sugar and $50$ g of flour, while a muffin requires $30$ g of sugar and $65$ g of flour. Write inequalities to represent the conditions based on sugar and flour.

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Problem 435

Find the value of $\frac{1.6 \times 10^{5}}{0.2 \times 10^{2}}$ . Options: A) $0.8 \times 10^{3}$ B) $8 \times 10^{3}$ C) $0.8 \times 10^{7}$ D) $8 \times 10^{7}$

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Problem 436

Find the general term of an arithmetic sequence given the 50th term is 238 and the 93rd term is 539.

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Problem 437

Solve the inequality $2(3c+3)<6c+9$ where $c>1$ . Determine the solution set.

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Problem 438

Solve a system of linear equations with coordinates for the solutions.

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Problem 439

Find the height $h$ of a triangle given its area $A$ and base $b$ , where $A = \frac{1}{2} b h$ . Choose the correct formula for $h$ .

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Problem 440

Solve the equation $\frac{x-3}{x+5}+\frac{6x}{x+3}=\frac{x^2+35x+16}{x^2+8x+15}$ and state the excluded values of $x$ .

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Problem 441

Solve for $t$ in the equation $-9=t+4s$ . Options: a) $t=-9-4s$ , b) $t=\frac{-9+s}{4}$ , c) $t=\frac{-9-s}{4}$ , d) $t=-9-s-4$ .

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Problem 442

Priya's equation $5+0.5w=4+0.75w$ represents a situation. Find the meaning of the solution $w=4$ .

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Problem 443

Find the value of $x$ in the equation $8^{2x-1}=16$ , rounded to the nearest hundredth.

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Problem 444

Find equivalent fractions, decimals, and percents. Simplify fractions. $1$ has decimal $1.25$ and percent $?$ . $\frac{3}{5}$ has decimal $?$ and percent $?$ . $?$ has decimal $?$ and percent $5\%$ .

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Problem 445

Find the value of $s$ that solves the equation $-30=6(s-5)-6$ . The solutions are $s=0$ and $s=1$ .

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Problem 446

Find the solution points for the equation $X + Y = 6$ and select the correct plot that passes through them.

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Problem 447

Select the best volume of a cord of wood in cubic feet. $4 \text{ ft } \times 4 \text{ ft } \times 8 \text{ ft } = 128 \text{ cu. ft.}$

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Problem 448

Anton watched $x$ movies in 2019. If Michael watched $\frac{1}{4}$ as many movies as Anton, which approximates Michael's movies?

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Problem 449

Differentiate $e^{3x}(\sin x + 2\cos x)$ with respect to $x$ .

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Problem 450

Solve the linear equation $25n + 13 = -27$ for the unknown variable $n$ .

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Problem 451

Solve for $y$ in the equation $4=\frac{y+2}{3}$ .

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Problem 452

Solve for $w$ in the equation $4.5 = 1.5w$ , then check your solution.

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Problem 453

Find the value of $93 - 54$ .

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Problem 454

Determine if the linear function $f(x) = 2 - 9x$ is increasing, decreasing, or constant.

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Problem 455

Solve the expression $(14-4) \times 2$ and identify the correct answer among $14-4$ , $4 \times 2$ , and $14 \times 2$ .

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Problem 456

Find the values of $x$ that satisfy $|x-3|=6$ .

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Problem 457

Solve the exponential equation $3^{x}=81$ .

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Problem 458

Solve the linear equation $-\frac{3}{4} z + 1 = -40$ for the variable $z$ .

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Problem 459

Find the value of $y$ when $x=1$ in the equation $y=-3x+2.5$ .

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Problem 460

Find the equation of the line passing through the points $(6, 20)$ and $(8, 42)$ .

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Problem 461

Evaluate the quadratic expression $a^{2} + 5a + 1$ when $a = -4$ .

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Problem 462

Find the probability that a random sample of size $n=61$ drawn from a normal distribution with $\mu=176.7$ and $\sigma=57.5$ has a mean between $166.4$ and $187.7$ .

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Problem 463

Solve for $x$ using addition and multiplication principles, given $-\frac{7}{3} x+\frac{1}{3}=-9$ .

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Problem 464

Eliminate x-terms in system: $3x+5y=5$ , multiply by ? on both sides; $-2x-8y=-6$ , multiply by ? on both sides.

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Problem 465

Find the sum $7,167 + 4,107$ and difference $7,167 - 4,107$ of two numbers.

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Problem 466

Find the least common denominator (LCD) of the set of fractions $\frac{1}{2}, \frac{2}{3}, \frac{3}{4}$ .

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Problem 467

A machine makes 4 toy cars every 1/3 hour. How many toy cars does it make per hour? Draw a model to represent this.

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Problem 468

How many times is $8 \times 10^{5}$ larger than $4 \times 10^{3}$ ? 2,000

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Problem 469

Find the issue with the equation $4+(10 / 5)=6-2$ . The correct answer is (C) The two sides do not evaluate to the same value.

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Problem 470

Find the rational numbers in the set $\left\{-\frac{15}{7},-\sqrt{2}, \sqrt{1}, \sqrt{\frac{4}{9}}, 1, \sqrt{3}, 3.25\right\}$ .

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Problem 471

Find the value of $x$ that satisfies the equation $x-12=-4$ .

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Problem 472

Calculate the percentage decrease in a town's population, given the population was 15600 in 1990 and is now 11420.

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Problem 473

Solve for $f$ where $f+2 \geq 6$ .

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Problem 474

How many pieces of candy were in a bag divided evenly among 23 students, if each student received 4 pieces? Let $p$ represent the total pieces.

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Problem 475

Evaluate the expression $3 \cdot 5^{x}$ when $x = 2$ .

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Problem 476

Solve the linear equation $3x + 7y = 15$ for either $x$ or $y$ .

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Problem 477

Solve for $x$ in the equation $1 + \frac{6}{5x} = 3$ .

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Problem 478

Find the lengths of $PN$ and $QP$ where $P$ is the centroid of $\triangle LMN$ and $QN=9$ .

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Problem 479

An online store awards the same number of reward points per purchase. Kevin made 5 purchases and earned 8.5 points. Find the number of points per purchase. (a) Let $n$ be the points per purchase. The equation is: $5n = 8.5$ (b) Solve for $n$ to find the points per purchase.

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Problem 480

Find the linear equation $y = mx + b$ describing a baby's weight, where the baby weighs 7 lbs at birth and gains 5 lbs every 2 months.

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Problem 481

Solve for $u$ in the equation $-6 u-28=-2(u-6)$ . Simplify the solution.

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Problem 482

Find the product of 4.12 and $2.5$ .

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Problem 483

Fill in the missing values in the matrix equation $\begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix} \begin{bmatrix} 0 \\ 0 \\ 0 \end{bmatrix} = \begin{bmatrix} ? \\ ? \\ ? \end{bmatrix}$ .

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Problem 484

Find the correct number line for the expression $-3-1.5$ .

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Problem 485

Find the value of $x$ if the numbers 13, 18, and $x$ have a mean of 18.

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Problem 486

Solve for $x$ when $g(x) = 5x + 2 = 7$ .

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Problem 487

Solve the exponential equations. Verify solutions using graphing technology. a) $4^{3x} = 8^{x-3}$ b) $27^{x} = 9^{2x-3}$ c) $125^{2y-1} = 25^{y+4}$ d) $16^{2k-3} = 32^{k+3}$

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Problem 488

Find the polynomials in standard form. Choose all correct options. $5x^5 + 4x^4 + 12x^3 - 23x + 15$ , $2x^4 - 12x^2 + 5x - 9$ , $5 - 3x$ , $4x^2 + 12x - 13x^3$ .

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Problem 489

Find the value of $d$ given the equation $d^{2}=21$ . Express the solution in simplest radical form.

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Problem 490

Find the equation of the parabola that passes through the points $(3,5), (4,7)$ , and $(5,5)$ .

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Problem 491

Plot -5.5 on number line and find the sum of -5.5 and 3.7.
$-5.5 + 3.7 =$

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Problem 492

Find the derivative of $\ln \left(\frac{x}{2}\right)$ .

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Problem 493

The oven's temperature, $F$ (in $^{\circ}$ F), increases by $30$ per minute according to the line of best fit $F=30t+70$ . What does the slope of $30$ represent?

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Problem 494

Solve absolute value equations: 1) $|4x| = x^2 - 5$ , 2) $2x^2 = |5x + 3|$ , 3) $|2(x-4)^2 - 5| = 3$ , 4) $0 = |x^2 - 2x - 3| - 4$ .

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Problem 495

Find the error interval for a number $x$ rounded to 1 significant figure as $0.08$ .

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Problem 496

Find the exact value of $\sin 2x$ given $\cos x = \frac{3}{5}$ and $0 < x < \frac{\pi}{2}$ .

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Problem 497

Solve the linear equation $7(m-12)=5m$ for the value of $m$ .

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Problem 498

Find the derivative $k'(x)$ of $k(x) = \sqrt[6]{-4 x^{2} + 10 x^{3}} \cdot (4 x^{3} - 7 x^{2})$ .

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Problem 499

Find the best decimal approximation for $\sqrt{62}$ .

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Problem 500

Rewrite $1 \frac{3}{4} - \frac{4}{5}$ using twentieths and simplify.

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Math

Problem 401

Elizabeth needs 92/392/392/3 feet of packaging tape. Each roll has 45/645/645/6 feet of tape. How many rolls should Elizabeth buy?

Problem 402

Multiply the two binomials (3x−9)(4x−7)(3x-9)(4x-7)(3x−9)(4x−7) using the FOIL or BOX method.

Problem 403

Graph the interval {x∈R∣x>8}\{x \in \mathbb{R} | x > 8\}{x∈R∣x>8} on the number line.

Problem 404

Calculate simple interest for given principal, rate, and time values.100010001000 at 7%7\%7% for 333 years 250025002500 at 4.5%4.5\%4.5% for 303030 months 750750750 at 2.8%2.8\%2.8% for 787878 weeks

Problem 405

Given congruent triangles △ABC≅△DEF\triangle ABC \cong \triangle DEF△ABC≅△DEF with AB=4x−5AB=4x-5AB=4x−5, DE=67DE=67DE=67, ∠C=5y+7\angle C=5y+7∠C=5y+7, and ∠F=57\angle F=57∠F=57, find xxx and yyy.

Problem 406

Solve for the value of jjj that satisfies the equation (7j−9)(8j+9)=0(7j-9)(8j+9)=0(7j−9)(8j+9)=0.

Problem 407

Find the algebraic expression for the sum of 5 and xxx multiplied by 2, then subtracted from 13.

Problem 408

Express k2−8k+20k^2 - 8k + 20k2−8k+20 as a(k+b)2+ca(k+b)^2 + ca(k+b)2+c. Prove the equation x2−kx+2k=5x^2 - kx + 2k = 5x2−kx+2k=5 has real, distinct roots for all real kkk.

Problem 409

Solve the equation 74=8x74=8x74=8x and select the correct answer from the options provided.

Problem 410

Identify the scalar quantity among force, mass, displacement, and velocity.

Problem 411

After 100 hours, the fractional part of the battery BBB still operating is 5−0.01⋅100=0.3685^{-0.01 \cdot 100} = 0.3685−0.01⋅100=0.368.

Problem 412

Solve for xxx and yyy in the linear equation 12y=8x−48312y = \frac{8x - 48}{3}12y=38x−48​.

Problem 413

Calculate the following expressions: a) 21/4−0.75−1/6+221 / 4-0.75-1 / 6+221/4−0.75−1/6+2, b) 61/6+8+73/461 / 6+8+73 / 461/6+8+73/4, c) 81/2−3/4−1.7581 / 2-3 / 4-1.7581/2−3/4−1.75, d) 0.65+5/2−9/20.65+5 / 2-9 / 20.65+5/2−9/2.

Problem 414

Find the value of mmm given the equation n=6+mn=6+mn=6+m.

Problem 415

Solve the quadratic equation 49x2−28x=−449 x^{2} - 28 x = -449x2−28x=−4.

Problem 416

Solve the quadratic equation z2−10z=−50z^2 - 10z = -50z2−10z=−50.

Problem 417

Solve for qqq by completing the square: q2−23q=21q^{2} - 23q = 21q2−23q=21. Write the solution as an integer, proper/improper fraction in simplest form, or decimal rounded to the nearest hundredth.

Problem 418

Rewrite the power 343^{4}34 as repeated multiplication, then evaluate the expression.

Problem 419

Find the zeros of the polynomial f(x)=x3−x+2x2−2f(x) = x^{3} - x + 2x^{2} - 2f(x)=x3−x+2x2−2 given that (x−1)(x - 1)(x−1) is a factor.

Problem 420

Solve for xxx in the equation 2(x+2)=9x+112(x+2)=9x+112(x+2)=9x+11.

Problem 421

Problem 422

Solve for xxx in the quadratic equation (x+7)2−49=0(x+7)^2 - 49 = 0(x+7)2−49=0. The solutions are x=−14,0x = -14, 0x=−14,0.

Problem 423

Simplify the expression −0.3(3g−0.2)+0.4(−0.8g+10)-0.3(3g-0.2)+0.4(-0.8g+10)−0.3(3g−0.2)+0.4(−0.8g+10).

Problem 424

Solve the system of equations: 12x=1821=y7\frac{12}{x}=\frac{18}{21}=\frac{y}{7}x12​=2118​=7y​

Problem 425

Solve for xxx in the equation ln⁡(x−2)3=9\frac{\ln (x-2)}{3}=93ln(x−2)​=9.

Problem 426

Solve the linear equation y+2=16(x−4)y + 2 = \frac{1}{6}(x - 4)y+2=61​(x−4) for the value of yyy.

Problem 427

An art teacher has 701270 \frac{1}{2}7021​ pounds of clay for 20 students. How much clay does each student get? Write the answer as a mixed number.

Problem 428

Solve for the value of WWW given the equation 28=−49W28 = -\frac{4}{9}W28=−94​W.

Problem 429

Solve the equation −13=−4.6(14−2p)-13=-4.6(14-2p)−13=−4.6(14−2p), and round the answer to the nearest hundredth.

Problem 430

Evaluate the expression (5+4)⋅(5+3⋅3)(5+4) \cdot (5+3 \cdot 3)(5+4)⋅(5+3⋅3) using the correct order of operations.

Problem 431

Solve for www in the equation 3+5w=−273+5w=-273+5w=−27. Simplify the solution for www.

Problem 432

Solve the system of linear equations x−2y=4x - 2y = 4x−2y=4 and 2x−4y=−42x - 4y = -42x−4y=−4.

Problem 433

Solve the inequality x2+5x−8≥x−3x^{2} + 5x - 8 \geq x - 3x2+5x−8≥x−3 and express the solution set in interval notation.

Problem 434

Shawna needs to make cupcakes and muffins using at least 460g of sugar and at most 970g of flour. A cupcake requires 353535g of sugar and 505050g of flour, while a muffin requires 303030g of sugar and 656565g of flour. Write inequalities to represent the conditions based on sugar and flour.

Problem 435

Find the value of 1.6×1050.2×102\frac{1.6 \times 10^{5}}{0.2 \times 10^{2}}0.2×1021.6×105​. Options: A) 0.8×1030.8 \times 10^{3}0.8×103 B) 8×1038 \times 10^{3}8×103 C) 0.8×1070.8 \times 10^{7}0.8×107 D) 8×1078 \times 10^{7}8×107

Problem 436

Find the general term of an arithmetic sequence given the 50th term is 238 and the 93rd term is 539.

Problem 437

Solve the inequality 2(3c+3)<6c+92(3c+3)<6c+92(3c+3)<6c+9 where c>1c>1c>1. Determine the solution set.

Problem 438

Solve a system of linear equations with coordinates for the solutions.

Problem 439

Find the height hhh of a triangle given its area AAA and base bbb, where A=12bhA = \frac{1}{2} b hA=21​bh. Choose the correct formula for hhh.

Problem 440

Solve the equation x−3x+5+6xx+3=x2+35x+16x2+8x+15\frac{x-3}{x+5}+\frac{6x}{x+3}=\frac{x^2+35x+16}{x^2+8x+15}x+5x−3​+x+36x​=x2+8x+15x2+35x+16​ and state the excluded values of xxx.

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

Multiply the two binomials $(3x-9)(4x-7)$ using the FOIL or BOX method.

Graph the interval $\{x \in \mathbb{R} | x > 8\}$ on the number line.

Calculate simple interest for given principal, rate, and time values.
$1000$ at $7\%$ for $3$ years $2500$ at $4.5\%$ for $30$ months $750$ at $2.8\%$ for $78$ weeks

Given congruent triangles $\triangle ABC \cong \triangle DEF$ with $AB=4x-5$ , $DE=67$ , $\angle C=5y+7$ , and $\angle F=57$ , find $x$ and $y$ .

Solve for the value of $j$ that satisfies the equation $(7j-9)(8j+9)=0$ .

Find the algebraic expression for the sum of 5 and $x$ multiplied by 2, then subtracted from 13.

Express $k^2 - 8k + 20$ as $a(k+b)^2 + c$ . Prove the equation $x^2 - kx + 2k = 5$ has real, distinct roots for all real $k$ .

Solve the equation $74=8x$ and select the correct answer from the options provided.

After 100 hours, the fractional part of the battery $B$ still operating is $5^{-0.01 \cdot 100} = 0.368$ .

Solve for $x$ and $y$ in the linear equation $12y = \frac{8x - 48}{3}$ .

Calculate the following expressions: a) $21 / 4-0.75-1 / 6+2$ , b) $61 / 6+8+73 / 4$ , c) $81 / 2-3 / 4-1.75$ , d) $0.65+5 / 2-9 / 2$ .

Find the value of $m$ given the equation $n=6+m$ .

Solve the quadratic equation $49 x^{2} - 28 x = -4$ .

Solve the quadratic equation $z^2 - 10z = -50$ .

Solve for $q$ by completing the square: $q^{2} - 23q = 21$ . Write the solution as an integer, proper/improper fraction in simplest form, or decimal rounded to the nearest hundredth.

Rewrite the power $3^{4}$ as repeated multiplication, then evaluate the expression.

Find the zeros of the polynomial $f(x) = x^{3} - x + 2x^{2} - 2$ given that $(x - 1)$ is a factor.

Solve for $x$ in the equation $2(x+2)=9x+11$ .

Solve for $x$ in the quadratic equation $(x+7)^2 - 49 = 0$ . The solutions are $x = -14, 0$ .

Simplify the expression $-0.3(3g-0.2)+0.4(-0.8g+10)$ .

Solve the system of equations: $\frac{12}{x}=\frac{18}{21}=\frac{y}{7}$

Solve for $x$ in the equation $\frac{\ln (x-2)}{3}=9$ .

Solve the linear equation $y + 2 = \frac{1}{6}(x - 4)$ for the value of $y$ .

An art teacher has $70 \frac{1}{2}$ pounds of clay for 20 students. How much clay does each student get? Write the answer as a mixed number.

Solve for the value of $W$ given the equation $28 = -\frac{4}{9}W$ .

Solve the equation $-13=-4.6(14-2p)$ , and round the answer to the nearest hundredth.

Evaluate the expression $(5+4) \cdot (5+3 \cdot 3)$ using the correct order of operations.

Solve for $w$ in the equation $3+5w=-27$ . Simplify the solution for $w$ .

Solve the system of linear equations $x - 2y = 4$ and $2x - 4y = -4$ .

Solve the inequality $x^{2} + 5x - 8 \geq x - 3$ and express the solution set in interval notation.

Shawna needs to make cupcakes and muffins using at least 460g of sugar and at most 970g of flour. A cupcake requires $35$ g of sugar and $50$ g of flour, while a muffin requires $30$ g of sugar and $65$ g of flour. Write inequalities to represent the conditions based on sugar and flour.

Find the value of $\frac{1.6 \times 10^{5}}{0.2 \times 10^{2}}$ . Options: A) $0.8 \times 10^{3}$ B) $8 \times 10^{3}$ C) $0.8 \times 10^{7}$ D) $8 \times 10^{7}$

Solve the inequality $2(3c+3)<6c+9$ where $c>1$ . Determine the solution set.

Find the height $h$ of a triangle given its area $A$ and base $b$ , where $A = \frac{1}{2} b h$ . Choose the correct formula for $h$ .

Solve the equation $\frac{x-3}{x+5}+\frac{6x}{x+3}=\frac{x^2+35x+16}{x^2+8x+15}$ and state the excluded values of $x$ .

Solve for $t$ in the equation $-9=t+4s$ . Options: a) $t=-9-4s$ , b) $t=\frac{-9+s}{4}$ , c) $t=\frac{-9-s}{4}$ , d) $t=-9-s-4$ .

Priya's equation $5+0.5w=4+0.75w$ represents a situation. Find the meaning of the solution $w=4$ .

Find the value of $x$ in the equation $8^{2x-1}=16$ , rounded to the nearest hundredth.

Find equivalent fractions, decimals, and percents. Simplify fractions. $1$ has decimal $1.25$ and percent $?$ . $\frac{3}{5}$ has decimal $?$ and percent $?$ . $?$ has decimal $?$ and percent $5\%$ .

Find the value of $s$ that solves the equation $-30=6(s-5)-6$ . The solutions are $s=0$ and $s=1$ .

Find the solution points for the equation $X + Y = 6$ and select the correct plot that passes through them.

Select the best volume of a cord of wood in cubic feet. $4 \text{ ft } \times 4 \text{ ft } \times 8 \text{ ft } = 128 \text{ cu. ft.}$

Anton watched $x$ movies in 2019. If Michael watched $\frac{1}{4}$ as many movies as Anton, which approximates Michael's movies?

Differentiate $e^{3x}(\sin x + 2\cos x)$ with respect to $x$ .

Solve the linear equation $25n + 13 = -27$ for the unknown variable $n$ .

Solve for $y$ in the equation $4=\frac{y+2}{3}$ .

Solve for $w$ in the equation $4.5 = 1.5w$ , then check your solution.

Find the value of $93 - 54$ .

Determine if the linear function $f(x) = 2 - 9x$ is increasing, decreasing, or constant.

Solve the expression $(14-4) \times 2$ and identify the correct answer among $14-4$ , $4 \times 2$ , and $14 \times 2$ .

Find the values of $x$ that satisfy $|x-3|=6$ .

Solve the exponential equation $3^{x}=81$ .

Solve the linear equation $-\frac{3}{4} z + 1 = -40$ for the variable $z$ .

Find the value of $y$ when $x=1$ in the equation $y=-3x+2.5$ .

Find the equation of the line passing through the points $(6, 20)$ and $(8, 42)$ .

Evaluate the quadratic expression $a^{2} + 5a + 1$ when $a = -4$ .

Find the probability that a random sample of size $n=61$ drawn from a normal distribution with $\mu=176.7$ and $\sigma=57.5$ has a mean between $166.4$ and $187.7$ .

Solve for $x$ using addition and multiplication principles, given $-\frac{7}{3} x+\frac{1}{3}=-9$ .

Eliminate x-terms in system: $3x+5y=5$ , multiply by ? on both sides; $-2x-8y=-6$ , multiply by ? on both sides.

Find the sum $7,167 + 4,107$ and difference $7,167 - 4,107$ of two numbers.

Find the least common denominator (LCD) of the set of fractions $\frac{1}{2}, \frac{2}{3}, \frac{3}{4}$ .

How many times is $8 \times 10^{5}$ larger than $4 \times 10^{3}$ ? 2,000

Find the issue with the equation $4+(10 / 5)=6-2$ . The correct answer is (C) The two sides do not evaluate to the same value.

Find the rational numbers in the set $\left\{-\frac{15}{7},-\sqrt{2}, \sqrt{1}, \sqrt{\frac{4}{9}}, 1, \sqrt{3}, 3.25\right\}$ .

Find the value of $x$ that satisfies the equation $x-12=-4$ .

Solve for $f$ where $f+2 \geq 6$ .

How many pieces of candy were in a bag divided evenly among 23 students, if each student received 4 pieces? Let $p$ represent the total pieces.