Browse Math problems in the Studdy Learning Bank!

Problem 1301

Solve the polynomial equation $9y^3 - 16y = 0$ by grouping and factoring. Enter the exact solutions.

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Problem 1302

Add fractions $\frac{7}{8} + \frac{3}{4} + \frac{2}{3}$ and express the sum in lowest terms.

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Problem 1303

Compute the regression line equation for a dataset with $\bar{x}=9$ , $s_{x}=1$ , $\bar{y}=682$ , $s_{y}=51$ , $r=-0.71$ . Round $a$ and $b$ to two decimal places.

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Problem 1304

Find the equation that represents "The sum of $-4 x$ and 2 is 9".

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Problem 1305

Design an assembly work table with sitting knee height range between $5^{th}$ percentile women and $95^{th}$ percentile men. Male sitting knee height $\sim \mathcal{N}(21.7\text{ in}, 1.2^2\text{ in}^2)$ , Female $\sim \mathcal{N}(19.2\text{ in}, 1.1^2\text{ in}^2)$ . Find minimum table clearance to fit $95\%$ of men.

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Problem 1306

Find the value of $\frac{x-5}{8x+2}$ when $x=2$ , and simplify the result.

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Problem 1307

Find the rule for the pattern: 2, 10, 8, 16, 14. Options: A. $+8, \times 2$ , B. $+8,-2$ , C. $x 5,-2$ , D. $x 8,-4$ .

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Problem 1308

Find the value of $x$ to the nearest ten-thousandth that satisfies the equation $9^{-3 x+2}=48$ .

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Problem 1309

Determine if $t(x)$ is a linear function given the values in the table: $x = \{0, 1, 2, 3\}$ , $f(x) = \{-8, -4, 0, 4\}$ . Select: A. $f(x) =$ __ or B. The function is not linear.

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Problem 1310

Determine if the relationship $y=5x(x+3)$ is linear. Explain your reasoning.

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Problem 1311

Find the range of the function $f(x) = \sqrt{x+5} - 3$ using graphing technology.

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Problem 1312

Evaluate the expression: $2ab^2c - 3(9+b) \div \frac{1}{4}a^2c^3 - abc$ where $a=2, b=5, c=3$ .

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Problem 1313

Calculate annual depreciation of machine using straight-line method: Machine cost $£ 16,000$ , salvage value $£ 1,000$ , useful life 5 years.

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Problem 1314

Simplify $\ln \frac{x}{e^{2 x}}$ by expressing it as a sum or difference of logarithms, and represent powers as factors.

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Problem 1315

Write the expression using radical notation and simplify if possible, assuming all variables represent nonnegative quantities. $\sqrt{64 x^{4}}$

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Problem 1316

Compare the z-scores of the tallest ( $230$ cm) and shortest ( $136.6$ cm) men, given a mean of $175.78$ cm and standard deviation of $6.01$ cm. The man with the more extreme z-score had the more extreme height.

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Problem 1317

Round $\log_{7} 42$ to the nearest thousand.

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Problem 1318

Graph the set $\{x \mid 2 \leq x < 6\}$ on the number line and express it using interval notation.

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Problem 1319

Solve the quadratic equation $6n^2 + 42n - 48 = 6$ for the value of $n$ .

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Problem 1320

Find the equation of the line perpendicular to $5x-3y=18$ and passing through $(-9,10)$ .

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Problem 1321

Find the area of a parallelogram with $a=15 \mathrm{~cm}, b=20 \mathrm{~cm}, \mathrm{~h}=12 \mathrm{~cm}$ . Options: $180 \mathrm{~cm}^2$ , $300 \mathrm{~cm}^2$ , $140 \mathrm{~cm}^2$ , $240 \mathrm{~cm}^2$ .

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Problem 1322

Graph the complex number $-3+i$ .

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Problem 1323

Multiply the expression $(x+5)(x-7)$ and simplify.

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Problem 1324

Bestimme die Innenwinkel eines Dreiecks mit gegebenen Winkeln. Gib die längste Seite an. a) $\alpha=43^{\circ} ; \beta=65^{\circ}$ b) $\alpha=40^{\circ} ; \beta=90^{\circ}$ d) $\alpha=90^{\circ} ; \beta=\gamma$ e) $\beta=2 \alpha ; \gamma=3 \alpha$ c) $\beta=\gamma=60^{\circ}$

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Problem 1325

Find the product of $-1.6(0.5)(-20)$ and write the answer in simplest form.

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Problem 1326

Solve the quadratic equation $4x^2 - 27 = 1756$ using the square root property. Provide the exact and approximate answers.
Exact answers: $x = \frac{\sqrt{1783}}{2}, -\frac{\sqrt{1783}}{2}$ Approximate answers: $x \approx 23.83, -23.83$

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Problem 1327

Find the value of $x$ that satisfies the equation $-2 x^{2} - 8 x = -64$ when the current time is 291.4.

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Problem 1328

Find the equations equivalent to $n-11=8$ using properties of equality.

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Problem 1329

Prove the statement "if $2^{x} = 3$ , then $x$ is not rational" is logically equivalent to the original statement "if $x$ is rational, then $2^{x} \neq 3$ ".

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Problem 1330

Which $r$ -value is not possible? A) 0.5, B) 1.2, C) -0.1, D) -0.75

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Problem 1331

Simplify $0.4 \times 8.7$ and choose the equivalent expression.

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Problem 1332

Find the difference between 4 ft 39 in and 1 ft 46 in in standard form.

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Problem 1333

Find the inn's nightly cost before $6\%$ sales tax, if the total cost per night is $\$ 143.10$ .

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Problem 1334

Find the value of $x$ that satisfies the quadratic equation $3 x^{2} + 6 x = -3$ .

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Problem 1335

Rahkim solved the equation $x-6=30$ , but his reasoning had a flaw. The best statement to describe the flaw is: B. Rahkim is confused about which number the 6 is being subtracted from.

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Problem 1336

Write a degree 2 trinomial with leading coef 8 and constant -5. Write two degree 1 binomials, then multiply and simplify.
$8 x^{2} - 5$

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Problem 1337

Maximize $9t + 8.50v$ under constraints $9t + 8.50v \leq 150$ and $v \geq 5$ .

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Problem 1338

Multiply and simplify $(4x+2)(4x+5)$

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Problem 1339

Find the composite function of two given linear functions. Given $f(x) = 4x + 14$ and $g(x) = 2x - 1$ , find $(f \circ g)(x)$ .

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Problem 1340

Solve the equation: $\left(\frac{1}{16}\right)^{-x}=\left(\frac{1}{32}\right)^{-x-1}$

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Problem 1341

Compare ride capacity: 25 race cars in 30 min vs 20 spin swings in 20 min. Which has higher hourly capacity?

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Problem 1342

Complete the table for $f(j) = j^2 + j$ given values of $j$ .

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Problem 1343

Add or subtract complex numbers. Find the result in standard form. $-7-(4-5i)-(2-4i)$

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Problem 1344

Determine which company has the least salary variability and the lowest average salaries based on the given salary ranges and means: Company A: range $\$ 47,000$ , mean $\$ 37,000$ Company B: range $\$ 56,000$ , mean $\$ 38,000$ Company C: range $\$ 50,000$ , mean $\$ 43,000$ Company D: range $\$ 48,000$ , mean $\$ 34,000$

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Problem 1345

Solve the addition problem: $9+3=9+1+2=\square$

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Problem 1346

Find the direction of the vector with endpoint $(4,7)$ in standard position. The direction is $\arctan(7/4)^\circ$ (rounded to nearest hundredth).

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Problem 1347

Rewrite the polynomial $-8m+7$ in factored form with a positive leading coefficient.

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Problem 1348

Solve for the value of $k$ in the equation $2+\frac{k}{3}=5$ .

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Problem 1349

Determine the periodic deposit to reach a $\$ 30,000$ financial goal over 5 years at a 3.5% quarterly compounded interest rate. Calculate how much of the goal comes from deposits vs. interest.
Periodic Deposit: $\$ ? \text{ every 3 months}$ Deposits: $\$ ?$ Interest: $\$ ?$

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Problem 1350

Find the angle $\theta$ where $180^\circ \leq \theta \leq 360^\circ$ and $\cos \theta = \frac{\sqrt{2}}{2}$ .

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Problem 1351

Find the value of $y$ that satisfies the equation $|y-6|+8=12$ .

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Problem 1352

The fraction $5 \frac{1}{2}$ lies between which two integers? Type the integers separated by a comma.

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Problem 1353

Find the y-value of the solution to the $2 \times 2$ matrix equation $\left[\begin{array}{ll} 3 & 2 \\ 2 & 1 \end{array}\right]\left[\begin{array}{l} x \\ y \end{array}\right]=\left[\begin{array}{l} 3 \\ 4 \end{array}\right]$ .

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Problem 1354

Solve the linear equation $3x + 5 = 17$ for the value of $x$ .

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Problem 1355

Solve for $x$ in the equation $w + x = 17$ .

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Problem 1356

Write inequalities to represent the distance to the nearest exit door and the weight of the cargo. The distance must be less than 150 feet ( $d < 150$ ) and the cargo weight must be no more than 2,400 pounds ( $w \le 2,400$ ).

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Problem 1357

Find the value of $x$ that satisfies the infinite series equation $\sum_{n=1}^{\infty} 2 x^{5 n} = 20$ .

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Problem 1358

Find the point on the curve $y=\tan x$ closest to (1,1), correct to two decimal places.

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Problem 1359

Solve the equation $x=-2-5x$ for $x$ .

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Problem 1360

Find $x$ and $y$ given $xy=144$ , $x+y=30$ , and $x \geq y$ . What is the value of $x-y$ ?

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Problem 1361

Find $c$ such that $f'(c)=0$ for $f(x)=e^{1-x^2}$ and determine if $f(x)$ has a local extremum at $x=c$ .

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Problem 1362

Convert Rachel's marathon finish time of 3.8 hours to minutes.
Solution: $3.8 \text{ hours} \times 60 \text{ minutes/hour} = 228 \text{ minutes}$

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Problem 1363

Describe the transformations for the quadratic $f(x) = (x-3)^2 + 2$ . Shift left 2 units and up 3 units, left 3 units and up 2 units, right 3 units and down 2 units, or right 3 units and up 2 units.

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Problem 1364

Convert 5/8 ft to inches.

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Problem 1365

Determine if the average weight of babies born in a week is a discrete or continuous variable.

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Problem 1366

Evaluate the expression $7 \times (10 + 3)$ and add the result to the product.

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Problem 1367

Solve for $y$ where $|7y| = 14$ . Write the solution as an integer or simplified fraction.

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Problem 1368

Solve the equation $(3x+8)(x+2)=0$ and write the answer in reduced fraction form.

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Problem 1369

Find the equation of a line passing through $(-2,2)$ and perpendicular to $y=\frac{1}{2} x-3$ . A. $y=-2 x+2$ B. $y=-2 x-2$ C. $y=\frac{1}{2} x-2$ D. $y=\frac{1}{2} x+2$

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Problem 1370

Solve the absolute value equation $|x| = 13$ .

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Problem 1371

Write a recursive formula for the arithmetic sequence $-38, -26, -14, -2, \ldots$ . Find $a_1$ and $a_n$ for $n \geq 2$ .

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Problem 1372

Simplify $7!$ and express the result as an integer or fraction.

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Problem 1373

Simplify the expression $\frac{11(x-3) \cdot 7 \cdot 7}{5 \cdot 7 \cdot 5 \cdot 11(x-3)}$ by dividing out common factors.

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Problem 1374

Solve the logarithmic equation $\ln (7 x-3)-5=-3$ for the value of $x$ .

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Problem 1375

Find the compound angle expression equivalent to $\sin x \cos y + \cos x \sin y$ .

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Problem 1376

Subtract the two numbers: $-5-5=\square$

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Problem 1377

Solve for the value of $m$ in the equation $9m + 7 = 8m$ .

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Problem 1378

Find the temperature range that Andrew considers comfortable. Write an absolute value equation to represent the situation, then solve for the minimum and maximum temperatures.
Part A: $|T - 70^{\circ} \mathrm{F}| \leq 5^{\circ} \mathrm{F}$ Part B: Minimum: $65^{\circ} \mathrm{F}$ , Maximum: $75^{\circ} \mathrm{F}$

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Problem 1379

Find the equation of the line passing through the points (1,6) and (2,7).

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Problem 1380

Solve the absolute value equation $|2x-1| = 9$ or indicate if it has no solution.

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Problem 1381

Find the equation equivalent to $0=-3 x^{2}+27 x+30$ .

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Problem 1382

Simplify the complex fraction $\frac{\frac{2}{5 t}-\frac{3}{3 t}}{\frac{1}{2 t}+\frac{1}{2 t}}$ . (1 point) $-\frac{3}{5}$ , $-4$ , $-\frac{5}{3}$ , $-\frac{1}{4}$

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Problem 1383

Find the value of $d$ where $d$ increased by 4 is -1.

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Problem 1384

Evaluate the expression $2 \cdot(-1 \div 6)^{4}$ to find the equivalent value.

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Problem 1385

Find the value of $q$ in the equation $-4 q - 3 = 1$ . The correct answer is B) $-15$ .

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Problem 1386

The cinema sells child, adult, and senior tickets. $35\%$ of tickets are child and $25\%$ are senior. What proportion of tickets sold are adult?

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Problem 1387

Find the missing values in the relative frequency table for the concession stand sales data. Solve for variables $a$ , $b$ , $c$ , $d$ , and $e$ to complete the table.

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Problem 1388

Find the standard error of the sample mean for the daily high temperatures (in $\degree$ F) in Des Moines over 1 week: Monday (64.5), Tuesday (64), Wednesday (66.5), Thursday (64), Friday (62.5), Saturday (61), Sunday (63).

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Problem 1389

Identify the property illustrated by the equation $x y = y x$ .

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Problem 1390

Solve for $u$ in the equation $45=3+2(3+4u)$ .

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Problem 1391

Solve for $x$ in $9.8(x-2.14)=53.9$ by dividing the left side by 9.8 and adding 2.14 to both sides.

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Problem 1392

Find the total number of questions on a math exam if a student answered 21 problems correctly, which is $70\%$ of the total.

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Problem 1393

Solve the absolute value equation $|5c-18|=30$ for the value of $c$ .

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Problem 1394

Solve the quadratic equation $2x^2 - 14x = -20$ by graphing the corresponding function.

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Problem 1395

Solve the quadratic equation $9x^2 + 12x = -6$ for the value of $x$ .

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Problem 1396

Identify the function represented by the power series $\sum_{k=1}^{\infty} \frac{x^{k}}{k}$ . Find the corresponding Taylor series $f(x)$ .

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Problem 1397

What is the number of real fifth roots of 0?

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Problem 1398

Find the probability that a baseball player with a batting average of $0.33$ has exactly 4 hits in their next 7 at-bats.

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Problem 1399

Find an equation with solution $n=5$ using multiplication. Select all correct answers.
$4=\frac{20}{n}$ $2(n+1)=10$ $36=8 n$ $7 n=28$ $4=4 n$ $36=9 n$

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Problem 1400

Complete the table by finding the logarithmic or exponential forms of $\log_8(8)=1$ , $\log_8(64)=2$ , $8^3=512$ , and $\log_8(1/8)=-1$ .

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Math

Problem 1301

Solve the polynomial equation 9y3−16y=09y^3 - 16y = 09y3−16y=0 by grouping and factoring. Enter the exact solutions.

Problem 1302

Add fractions 78+34+23\frac{7}{8} + \frac{3}{4} + \frac{2}{3}87​+43​+32​ and express the sum in lowest terms.

Problem 1303

Compute the regression line equation for a dataset with xˉ=9\bar{x}=9xˉ=9, sx=1s_{x}=1sx​=1, yˉ=682\bar{y}=682yˉ​=682, sy=51s_{y}=51sy​=51, r=−0.71r=-0.71r=−0.71. Round aaa and bbb to two decimal places.

Problem 1304

Find the equation that represents "The sum of −4x-4 x−4x and 2 is 9".

Problem 1305

Problem 1306

Find the value of x−58x+2\frac{x-5}{8x+2}8x+2x−5​ when x=2x=2x=2, and simplify the result.

Problem 1307

Find the rule for the pattern: 2, 10, 8, 16, 14. Options: A. +8,×2+8, \times 2+8,×2, B. +8,−2+8,-2+8,−2, C. x5,−2x 5,-2x5,−2, D. x8,−4x 8,-4x8,−4.

Problem 1308

Find the value of xxx to the nearest ten-thousandth that satisfies the equation 9−3x+2=489^{-3 x+2}=489−3x+2=48.

Problem 1309

Determine if t(x)t(x)t(x) is a linear function given the values in the table: x={0,1,2,3}x = \{0, 1, 2, 3\}x={0,1,2,3}, f(x)={−8,−4,0,4}f(x) = \{-8, -4, 0, 4\}f(x)={−8,−4,0,4}. Select: A. f(x)=f(x) = f(x)=__ or B. The function is not linear.

Problem 1310

Determine if the relationship y=5x(x+3)y=5x(x+3)y=5x(x+3) is linear. Explain your reasoning.

Problem 1311

Find the range of the function f(x)=x+5−3f(x) = \sqrt{x+5} - 3f(x)=x+5​−3 using graphing technology.

Problem 1312

Evaluate the expression: 2ab2c−3(9+b)÷14a2c3−abc2ab^2c - 3(9+b) \div \frac{1}{4}a^2c^3 - abc2ab2c−3(9+b)÷41​a2c3−abc where a=2,b=5,c=3a=2, b=5, c=3a=2,b=5,c=3.

Problem 1313

Calculate annual depreciation of machine using straight-line method: Machine cost £16,000£ 16,000£16,000, salvage value £1,000£ 1,000£1,000, useful life 5 years.

Problem 1314

Simplify ln⁡xe2x\ln \frac{x}{e^{2 x}}lne2xx​ by expressing it as a sum or difference of logarithms, and represent powers as factors.

Problem 1315

Write the expression using radical notation and simplify if possible, assuming all variables represent nonnegative quantities. 64x4\sqrt{64 x^{4}}64x4​

Problem 1316

Compare the z-scores of the tallest (230230230 cm) and shortest (136.6136.6136.6 cm) men, given a mean of 175.78175.78175.78 cm and standard deviation of 6.016.016.01 cm. The man with the more extreme z-score had the more extreme height.

Problem 1317

Round log⁡742\log_{7} 42log7​42 to the nearest thousand.

Problem 1318

Graph the set {x∣2≤x<6}\{x \mid 2 \leq x < 6\}{x∣2≤x<6} on the number line and express it using interval notation.

Problem 1319

Solve the quadratic equation 6n2+42n−48=66n^2 + 42n - 48 = 66n2+42n−48=6 for the value of nnn.

Problem 1320

Find the equation of the line perpendicular to 5x−3y=185x-3y=185x−3y=18 and passing through (−9,10)(-9,10)(−9,10).

Problem 1321

Find the area of a parallelogram with a=15 cm,b=20 cm, h=12 cma=15 \mathrm{~cm}, b=20 \mathrm{~cm}, \mathrm{~h}=12 \mathrm{~cm}a=15 cm,b=20 cm, h=12 cm. Options: 180 cm2180 \mathrm{~cm}^2180 cm2, 300 cm2300 \mathrm{~cm}^2300 cm2, 140 cm2140 \mathrm{~cm}^2140 cm2, 240 cm2240 \mathrm{~cm}^2240 cm2.

Problem 1322

Graph the complex number −3+i-3+i−3+i.

Problem 1323

Multiply the expression (x+5)(x−7)(x+5)(x-7)(x+5)(x−7) and simplify.

Problem 1324

Problem 1325

Find the product of −1.6(0.5)(−20)-1.6(0.5)(-20)−1.6(0.5)(−20) and write the answer in simplest form.

Problem 1326

Problem 1327

Find the value of xxx that satisfies the equation −2x2−8x=−64-2 x^{2} - 8 x = -64−2x2−8x=−64 when the current time is 291.4.

Problem 1328

Find the equations equivalent to n−11=8n-11=8n−11=8 using properties of equality.

Problem 1329

Prove the statement "if 2x=32^{x} = 32x=3, then xxx is not rational" is logically equivalent to the original statement "if xxx is rational, then 2x≠32^{x} \neq 32x=3".

Problem 1330

Which rrr-value is not possible? A) 0.5, B) 1.2, C) -0.1, D) -0.75

Problem 1331

Simplify 0.4×8.70.4 \times 8.70.4×8.7 and choose the equivalent expression.

Problem 1332

Find the difference between 4 ft 39 in and 1 ft 46 in in standard form.

Problem 1333

Find the inn's nightly cost before 6%6\%6% sales tax, if the total cost per night is $143.10\$ 143.10$143.10.

Problem 1334

Find the value of xxx that satisfies the quadratic equation 3x2+6x=−33 x^{2} + 6 x = -33x2+6x=−3.

Problem 1335

Rahkim solved the equation x−6=30x-6=30x−6=30, but his reasoning had a flaw. The best statement to describe the flaw is: B. Rahkim is confused about which number the 6 is being subtracted from.

Problem 1336

Write a degree 2 trinomial with leading coef 8 and constant -5. Write two degree 1 binomials, then multiply and simplify.8x2−58 x^{2} - 58x2−5

Problem 1337

Maximize 9t+8.50v9t + 8.50v9t+8.50v under constraints 9t+8.50v≤1509t + 8.50v \leq 1509t+8.50v≤150 and v≥5v \geq 5v≥5.

Problem 1338

Multiply and simplify (4x+2)(4x+5)(4x+2)(4x+5)(4x+2)(4x+5)

Problem 1339

Find the composite function of two given linear functions. Given f(x)=4x+14f(x) = 4x + 14f(x)=4x+14 and g(x)=2x−1g(x) = 2x - 1g(x)=2x−1, find (f∘g)(x)(f \circ g)(x)(f∘g)(x).

Problem 1340

Solve the equation: (116)−x=(132)−x−1\left(\frac{1}{16}\right)^{-x}=\left(\frac{1}{32}\right)^{-x-1}(161​)−x=(321​)−x−1

Problem 1341

Compare ride capacity: 25 race cars in 30 min vs 20 spin swings in 20 min. Which has higher hourly capacity?

Solve the polynomial equation $9y^3 - 16y = 0$ by grouping and factoring. Enter the exact solutions.

Add fractions $\frac{7}{8} + \frac{3}{4} + \frac{2}{3}$ and express the sum in lowest terms.

Compute the regression line equation for a dataset with $\bar{x}=9$ , $s_{x}=1$ , $\bar{y}=682$ , $s_{y}=51$ , $r=-0.71$ . Round $a$ and $b$ to two decimal places.

Find the equation that represents "The sum of $-4 x$ and 2 is 9".

Find the value of $\frac{x-5}{8x+2}$ when $x=2$ , and simplify the result.

Find the rule for the pattern: 2, 10, 8, 16, 14. Options: A. $+8, \times 2$ , B. $+8,-2$ , C. $x 5,-2$ , D. $x 8,-4$ .

Find the value of $x$ to the nearest ten-thousandth that satisfies the equation $9^{-3 x+2}=48$ .

Determine if $t(x)$ is a linear function given the values in the table: $x = \{0, 1, 2, 3\}$ , $f(x) = \{-8, -4, 0, 4\}$ . Select: A. $f(x) =$ __ or B. The function is not linear.

Determine if the relationship $y=5x(x+3)$ is linear. Explain your reasoning.

Find the range of the function $f(x) = \sqrt{x+5} - 3$ using graphing technology.

Evaluate the expression: $2ab^2c - 3(9+b) \div \frac{1}{4}a^2c^3 - abc$ where $a=2, b=5, c=3$ .

Calculate annual depreciation of machine using straight-line method: Machine cost $£ 16,000$ , salvage value $£ 1,000$ , useful life 5 years.

Simplify $\ln \frac{x}{e^{2 x}}$ by expressing it as a sum or difference of logarithms, and represent powers as factors.

Write the expression using radical notation and simplify if possible, assuming all variables represent nonnegative quantities. $\sqrt{64 x^{4}}$

Compare the z-scores of the tallest ( $230$ cm) and shortest ( $136.6$ cm) men, given a mean of $175.78$ cm and standard deviation of $6.01$ cm. The man with the more extreme z-score had the more extreme height.

Round $\log_{7} 42$ to the nearest thousand.

Graph the set $\{x \mid 2 \leq x < 6\}$ on the number line and express it using interval notation.

Solve the quadratic equation $6n^2 + 42n - 48 = 6$ for the value of $n$ .

Find the equation of the line perpendicular to $5x-3y=18$ and passing through $(-9,10)$ .

Find the area of a parallelogram with $a=15 \mathrm{~cm}, b=20 \mathrm{~cm}, \mathrm{~h}=12 \mathrm{~cm}$ . Options: $180 \mathrm{~cm}^2$ , $300 \mathrm{~cm}^2$ , $140 \mathrm{~cm}^2$ , $240 \mathrm{~cm}^2$ .

Graph the complex number $-3+i$ .

Multiply the expression $(x+5)(x-7)$ and simplify.

Find the product of $-1.6(0.5)(-20)$ and write the answer in simplest form.

Find the value of $x$ that satisfies the equation $-2 x^{2} - 8 x = -64$ when the current time is 291.4.

Find the equations equivalent to $n-11=8$ using properties of equality.

Prove the statement "if $2^{x} = 3$ , then $x$ is not rational" is logically equivalent to the original statement "if $x$ is rational, then $2^{x} \neq 3$ ".

Which $r$ -value is not possible? A) 0.5, B) 1.2, C) -0.1, D) -0.75

Simplify $0.4 \times 8.7$ and choose the equivalent expression.

Find the inn's nightly cost before $6\%$ sales tax, if the total cost per night is $\$ 143.10$ .

Find the value of $x$ that satisfies the quadratic equation $3 x^{2} + 6 x = -3$ .

Rahkim solved the equation $x-6=30$ , but his reasoning had a flaw. The best statement to describe the flaw is: B. Rahkim is confused about which number the 6 is being subtracted from.

Write a degree 2 trinomial with leading coef 8 and constant -5. Write two degree 1 binomials, then multiply and simplify.
$8 x^{2} - 5$

Maximize $9t + 8.50v$ under constraints $9t + 8.50v \leq 150$ and $v \geq 5$ .

Multiply and simplify $(4x+2)(4x+5)$

Find the composite function of two given linear functions. Given $f(x) = 4x + 14$ and $g(x) = 2x - 1$ , find $(f \circ g)(x)$ .

Solve the equation: $\left(\frac{1}{16}\right)^{-x}=\left(\frac{1}{32}\right)^{-x-1}$

Complete the table for $f(j) = j^2 + j$ given values of $j$ .

Add or subtract complex numbers. Find the result in standard form. $-7-(4-5i)-(2-4i)$

Solve the addition problem: $9+3=9+1+2=\square$

Find the direction of the vector with endpoint $(4,7)$ in standard position. The direction is $\arctan(7/4)^\circ$ (rounded to nearest hundredth).

Rewrite the polynomial $-8m+7$ in factored form with a positive leading coefficient.

Solve for the value of $k$ in the equation $2+\frac{k}{3}=5$ .

Find the angle $\theta$ where $180^\circ \leq \theta \leq 360^\circ$ and $\cos \theta = \frac{\sqrt{2}}{2}$ .

Find the value of $y$ that satisfies the equation $|y-6|+8=12$ .

The fraction $5 \frac{1}{2}$ lies between which two integers? Type the integers separated by a comma.

Find the y-value of the solution to the $2 \times 2$ matrix equation $\left[\begin{array}{ll} 3 & 2 \\ 2 & 1 \end{array}\right]\left[\begin{array}{l} x \\ y \end{array}\right]=\left[\begin{array}{l} 3 \\ 4 \end{array}\right]$ .

Solve the linear equation $3x + 5 = 17$ for the value of $x$ .

Solve for $x$ in the equation $w + x = 17$ .

Write inequalities to represent the distance to the nearest exit door and the weight of the cargo. The distance must be less than 150 feet ( $d < 150$ ) and the cargo weight must be no more than 2,400 pounds ( $w \le 2,400$ ).

Find the value of $x$ that satisfies the infinite series equation $\sum_{n=1}^{\infty} 2 x^{5 n} = 20$ .

Find the point on the curve $y=\tan x$ closest to (1,1), correct to two decimal places.

Solve the equation $x=-2-5x$ for $x$ .

Find $x$ and $y$ given $xy=144$ , $x+y=30$ , and $x \geq y$ . What is the value of $x-y$ ?

Find $c$ such that $f'(c)=0$ for $f(x)=e^{1-x^2}$ and determine if $f(x)$ has a local extremum at $x=c$ .

Convert Rachel's marathon finish time of 3.8 hours to minutes.
Solution: $3.8 \text{ hours} \times 60 \text{ minutes/hour} = 228 \text{ minutes}$

Describe the transformations for the quadratic $f(x) = (x-3)^2 + 2$ . Shift left 2 units and up 3 units, left 3 units and up 2 units, right 3 units and down 2 units, or right 3 units and up 2 units.

Evaluate the expression $7 \times (10 + 3)$ and add the result to the product.

Solve for $y$ where $|7y| = 14$ . Write the solution as an integer or simplified fraction.

Solve the equation $(3x+8)(x+2)=0$ and write the answer in reduced fraction form.

Find the equation of a line passing through $(-2,2)$ and perpendicular to $y=\frac{1}{2} x-3$ . A. $y=-2 x+2$ B. $y=-2 x-2$ C. $y=\frac{1}{2} x-2$ D. $y=\frac{1}{2} x+2$

Solve the absolute value equation $|x| = 13$ .

Write a recursive formula for the arithmetic sequence $-38, -26, -14, -2, \ldots$ . Find $a_1$ and $a_n$ for $n \geq 2$ .

Simplify $7!$ and express the result as an integer or fraction.

Simplify the expression $\frac{11(x-3) \cdot 7 \cdot 7}{5 \cdot 7 \cdot 5 \cdot 11(x-3)}$ by dividing out common factors.

Solve the logarithmic equation $\ln (7 x-3)-5=-3$ for the value of $x$ .