Measurement

Problem 201

12. Find another point on a line with slope $-\frac{2}{3}$ and point $A$ at $(-1,-5)$ .
13. A ladder leans against a wall. Its base is $1.5 \mathrm{m}$ from the wall, and its top touches the wall $4 \mathrm{~m}$ above the ground. Find the ladder's slope.

See Solution

Problem 202

Select the mutually exclusive option: $P(red) \text{ and } P(black)$ from a standard deck, or $P(sum = 6) \text{ and } P(sum = 4)$ from two dice rolls.

See Solution

Problem 203

Find the number line representation of the expression $\frac{5}{2} + 3$ .

See Solution

Problem 204

Simplify the expression $-3 k^{0}$ assuming the variable represents a nonzero real number.

See Solution

Problem 205

(a) A potter bought clay, used $1/5$ for mugs, $5/8$ for teapots, and $7/12$ of the remainder for bowls. He had 55 oz left. How many oz of clay did he buy? (b) How many oz of clay was used on each set of items?

See Solution

Problem 206

Calculate the percent change in grocery expenditures from March to April. Groceries: $112 in March,$ 120 in April. Round to nearest whole percent.

See Solution

Problem 207

Graph the solution set for the inequality $-4 > x$ .

See Solution

Problem 208

Find the value of $x$ where the linear functions $g(x) = 2x + 11$ and $f(x) = -2x + 9$ intersect.

See Solution

Problem 209

Evaluate the expression $96-5r$ when $r=13$ .

See Solution

Problem 210

Find a number $x$ such that $48 - x = 4x - 7$ .

See Solution

Problem 211

Solve the absolute value equation $4|7-\frac{5}{2}x|+8=40$ or indicate no solution.

See Solution

Problem 212

Write expressions for: $6x - 9$ , $\frac{6}{3} \times 8$ , and $x - 12$ .

See Solution

Problem 213

Find the value of $9^{-2}$ .

See Solution

Problem 214

Determine if the point $(2,1)$ satisfies the system of inequalities $5x + 2y < 18$ and $5x + y > 1$ .

See Solution

Problem 215

Find the missing number in the equation $3/4 + x/4 = 1$ .

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Problem 216

Find the value of $t$ where the logistic function $y=\frac{M}{1+c e^{-k M t}}$ equals $\frac{M}{2}$ .

See Solution

Problem 217

Simplify the expression $-\frac{48}{13}+(-8)$ .

See Solution

Problem 218

Solve the system of linear equations: $-6.4 x=4 y+2.1$ and $k y+3.2 x=5.8$

See Solution

Problem 219

Find the 43rd and 53rd percentiles of the ages of 29 Academy Award winning best actors, given in ascending order: $24, 27, 27, 30, 30, 36, 37, 37, 37, 39, 42, 45, 46, 47, 48, 49, 50, 51, 51, 56, 61, 63, 64, 69, 70, 71, 77, 78, 78$ .

See Solution

Problem 220

16. Approximate $\sqrt{2}$ as 1.414. Find approximate values for: a) $\sqrt{200}$ b) $\sqrt{20000}$
17. Approximate $\sqrt[3]{2}$ as 1.260 and $\sqrt[3]{4}$ as 1.587. Find approximate values for: a) $\sqrt[3]{2000}$ b) $\sqrt[3]{4000000}$

See Solution

Problem 221

Evaluate $u \odot v = 2u - v$ for $4 \odot (2 \odot 5)$ .

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Problem 222

Find the number of psychology and history textbooks sold, given that the total sold was 290 and the number of psychology textbooks was 42 more than the number of history textbooks. Let $x$ be the number of history textbooks sold. Then the number of psychology textbooks sold is $x + 42$ . The total number of textbooks sold is $x + (x + 42) = 290$ . Solve for $x$ to find the number of textbooks of each type sold.

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Problem 223

Solve for $y$ in the equation $-\frac{y}{8}=-23$ . Simplify the solution $y=$ .

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Problem 224

Find the value of $x$ when $y = a + b \ln x$ , given $a = 12.3301088919$ and $b = -8.22097130319$ , and $y = -16$ .

See Solution

Problem 225

Solve the trigonometric equation $\tan \theta = -\sqrt{3}$ using the unit circle.

See Solution

Problem 226

Find the value of $x$ that satisfies the equation $\frac{83}{x+4}=10$ .

See Solution

Problem 227

Solve the linear equation $x + 3.75 = 5.5$ to find the value of $x$ .

See Solution

Problem 228

Determine if $(-1,29)$ is a solution to the quadratic equation $y=-2x^2-5x+22$ . Show your work.

See Solution

Problem 229

Complete the exponential decay table: Original Amount: $19,000$ , Decay Rate: $13\%$ per year, Years: $18$ , Final Amount after $18$ years of decay.

See Solution

Problem 230

Solve for $x$ in the equation $1.008165=\frac{2}{2-x}-\frac{1.008165 x}{2}$ .

See Solution

Problem 231

Determine which term the negative sign belongs to in the expression $16 t-3 t$ compared to $3 t-16 t$ .

See Solution

Problem 232

Solve the system of linear equations to find the common solution.
$x+y=20$ and $y=2x-1$ $y=2x$ and $y=-6x+4$

See Solution

Problem 233

Solve for x in the linear equation $12-12x=-6x+48$ .

See Solution

Problem 234

Simplify the expression $-8(-4x^3 + 5 - 2y^2)$ using the distributive property.

See Solution

Problem 235

Find the product of two complex numbers and express the result in the form $a + bi$ .

See Solution

Problem 236

Identify the levels of measurement: $\{$ Nominal Data, Ratio, Quantitative Data, Ordinal Data $\}$

See Solution

Problem 237

Perform the indicated operation $2.6 + 2.1$ and use a calculator to verify the result.

See Solution

Problem 238

Determine if the underlined value, $59\%$ of passes completed for 265 yards and 2 TDs, is a parameter or statistic.

See Solution

Problem 239

Calculate the exact value of the ${ }_{27} P_{4}$ permutation expression.

See Solution

Problem 240

Find the demand function $D(p) = -2p^2 - 6p + 300$ and its rate of change w.r.t. price $p$ . Interpret the rate of change when $p = \$11$ .

See Solution

Problem 241

Solve for height $h$ given area $A$ and base $b$ using the formula $A=bh$ . Options: B) $h=\frac{A}{b}$

See Solution

Problem 242

Babies with low birth weight (< 2500 g) may have health issues. Mean birth weight is 3496 g, but 2646 g for babies born 1 month early. Find standardized score (z-score) for 2500 g birth weight for: a) all births, b) 1 month early births. Determine which group 2500 g is more common.
a. $z=-2.17$ b. $z=-0.32$ c. B. A birth weight of 2500 g is more common for all births in the country.

See Solution

Problem 243

Find the ordered pair that satisfies the inequality $12 \geq 2x + 4y$ given the points $(6,0)$ , $(0,6)$ , $(3,6)$ , and $(-2,8)$ on the graph of $12 = 2x + 4y$ .

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Problem 244

Find the time (in seconds) when Ana, who dives from a high springboard, hits the water given the height model $h(x) = -5(x+1)(x-3)$ .

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Problem 245

Multiply the complex number $9-12i$ by its complex conjugate and simplify the result.

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Problem 246

Solve the equation $\frac{8}{x}=2x$ graphically and numerically.

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Problem 247

Simplify the numerical expression $8^{2}+7(-2-5)+3$ using the rules for order of operations.

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Problem 248

Find the value of $12 t - 2 y$ given that $x = 3$ is a solution to the equation $2 t x - y = 4$ .

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Problem 249

Evaluate $\lim _{x \rightarrow 1} \frac{\sqrt{x}-1}{x-1}$ using the provided table of $x$ and $f(x)$ values.

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Problem 250

Solve the polynomial inequality $x^{3} - x^{2} - 12x > 0$ using the test-point method.

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Problem 251

Solve the equation $\pi x + 3 = 4\pi x$ for $x$ .

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Problem 252

Determine if the linear equation $3x + 6y = 12$ represents a function.

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Problem 253

Solve the equation $8^{2x-3} = \left(\frac{1}{16}\right)^{x-2}$ for the unknown variable $x$ .

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Problem 254

Rewrite the problem statement: Find the frequency distribution and construct a histogram for the hottest recorded temperatures (in °F) across 16 North American cities.
$92.5-96.5$ : $\square$ $96.5-100.5$ : $\square$ $100.5-104.5$ : $\square$ $104.5-108.5$ : $\square$ $108.5-112.5$ : $\square$

See Solution

Problem 255

Solve for time $t$ in the equation $r = r_0 + \frac{1}{2}at^2$ , where $r_0$ and $a$ are known constants.

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Problem 256

Simplify the complex expression $-6 i(8+2 i)$ and write the result in standard form.

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Problem 257

Differentiate the function $f(\theta) = \frac{\sec \theta}{5 + \sec \theta}$ .

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Problem 258

Solve the subtraction $(-7)-(+7)$ and model at least 3 subtraction problems.

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Problem 259

Solve for $q$ where the product of two linear expressions equals 0. Write the solutions as integers or simplified fractions.

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Problem 260

Solve the inequality $3|x+1|-2<4$ and select the correct solution.
A) $-3<x$ or $x<1$ B) $-3<x$ or $x>1$ C) $-3<x<1$ D) $-3<x$ and $x>1$

See Solution

Problem 261

Divide $8.8 \times 10^{-3}$ by $2.4 \times 10^{-7}$ and give the answer in scientific notation.

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Problem 262

Solve for $w$ where $w^{2}-4=0$ . Write answers as integers or simplified fractions.

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Problem 263

Simplify $\frac{x^{4}+7 x^{3}-10 x^{2}-63 x+9}{x^{2}-9}$ where $x^{2} \neq 9$ using long or synthetic division.

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Problem 264

Solve the inequality $3(x-9)<15$ and select the correct answer.

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Problem 265

Simplify the expression $\frac{5}{7 y} \times \frac{10}{3 y}$ .

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Problem 266

Convert temperature from Fahrenheit to Celsius given $101^\circ F$ .

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Problem 267

Solve for the unknown value $u$ given the equation $10.24 = 4u$ .

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Problem 268

Find the ratio of roses to daisies and daisies to all flowers in a vase with 5 roses and 11 total flowers.
(a) Ratio of roses to daisies: $\frac{5}{11-5}$ (b) Ratio of daisies to all flowers: $\frac{11-5}{11}$

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Problem 269

Describe the types of symmetry in the circle with equation $x^2 + y^2 = 1$ .

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Problem 270

Determine the number of significant digits in the value $587,410$ .

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Problem 271

Solve $\left(u-14\right)\left(u+10\right)=-104$ using the completing the square method. Answer: $u=\pm 2, \pm 12$

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Problem 272

Find the derivative of $\sqrt{5 x^{2}-4}$ with respect to $x$ .

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Problem 273

Calculate the total liabilities of White Cleaning Services on $31/12/2022$ given that total assets on $31/12/2022$ were $\$ 126,000$ , total assets on $1/1/2022$ were $\$ 85,000$ , total liabilities on $1/1/2022$ were $\$ 17,000$ , total revenue in 2022 was $\$ 61,000$ , total expenses in 2022 were $\$ 35,000$ , and Mr. Mansoor made an additional investment of $\$ 12,000$ to the business in 2022.
Response: 29000

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Problem 274

Solve for the variable $v$ in the equation $3xy = v/4$ .

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Problem 275

Solve for $x$ : $x+8=60$ , $\frac{x}{4}=50$ , $x^{2}=400$ , $54=9 x$ , $60=35+x$ .

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Problem 276

Company bought a 3-year insurance policy for $\$25,200$ on $1/4/2020$ . Reported net income for 2020 was $\$63,000$ . If the accountant missed the insurance adjustment on $12/31/2020$ , the correct 2020 net income should be $\$56,700$ .

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Problem 277

Find the 98th percentile of a standard normal distribution with mean 0 and standard deviation 1.

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Problem 278

Solve for the value of $d$ in the equation $4d - 4 = 5d - 8$ .

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Problem 279

Solve for $m$ in the equation $12.6+4m=9.6+8m$ .

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Problem 280

Solve for $u$ where $(5u-2)(-3u+4)=0$ . Write the solutions as integers or simplified fractions.

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Problem 281

Find values of $x$ that cannot be solutions to the equation $\frac{7}{4x+1} - \frac{1}{x-2} = 0$ .

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Problem 282

Compare the numbers. Pick the correct sign: $-7 ? 6$ , where the options are $>$ , $<$ , or $=$ .

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Problem 283

Solve $\left(u+3\right)^{3/2} = 6$ for real number $u$ , and simplify the solution.

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Problem 284

Solve for $x$ , rounding to the nearest tenth if necessary. $\frac{9}{4}=\frac{7 x+6}{2}$

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Problem 285

Determine if $t=-5$ is a solution to the equation $-2t^3 - 4t^2 + 4t - 3 = 127$ .

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Problem 286

Calculate the range, variance, and standard deviation for the given samples. a. $34, 47, 45, 40, 48$ , b. $100, 3, 9160, 16207$ , c. $100, 35, 40, 6040, 447$ . a. The range is $\square$ .

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Problem 287

Evaluate the definite integral of $\frac{4y}{e^{2y}}$ from 0 to 1.

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Problem 288

Solve for $x$ in the equation $x \times -6.3 = -3$ .

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Problem 289

Compare the z-scores of a 45-year-old Best Actor and a 37-year-old Best Supporting Actor with $\mu_{BA}=44.0$ , $\sigma_{BA}=7.2$ , $\mu_{BSA}=54.0$ , and $\sigma_{BSA}=16$ .
Best Actor: $z=\frac{45-44.0}{7.2} = 0.14$ Best Supporting Actor: $z=\frac{37-54.0}{16} = -1.06$

See Solution

Problem 290

Find the y-intercept of the line passing through the points $(8,6)$ and $(4,22)$ .

See Solution

Problem 291

Find the number of solutions for the system of linear equations: $x+y+z=66$ and $5x+10y+20z=730$ , where $x, y, z$ are integers.

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Problem 292

Solve the equation $8-8x=(3x+1)(x-1)$ by factoring. The solution set is $x=1, -\frac{1}{3}$ .

See Solution

Problem 293

Determine if $u$ values satisfy inequality $37 \leq 25+u$ and mark solution status.

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Problem 294

Simplify the expression $16^{\frac{1}{4}} \div 16^{\frac{1}{2}}$ to an integer or fraction.

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Problem 295

Solve the linear equation $\frac{u}{4} + -2 = 2$ for $u$ .

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Problem 296

Write an equation to represent "57 is the difference of Hector's age $h$ and 10".

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Problem 297

Expresar como desigualdad: $w - 5 \geq 26$

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Problem 298

Classify variables as quantitative or categorical: (a) customer satisfaction (very/somewhat satisfied/dissatisfied), (b) weight (in lbs) needed to break bridge cable, (c) cell phone service provider.

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Problem 299

Marcos' cell phone balance $B=25-0.1n$ where $n$ is minutes talked. a) Initial balance: $\$ 25$ . b) Minutes until balance is $0$ : 250 minutes. c) Slope: $-0.1$ minutes/ $\$$

See Solution

Problem 300

Solve the following exponential equations: a. $e^{-0.2 t}=9$ , b. $e^{k t}=\frac{1}{5}$ , c. $e^{(\ln 0.4) t}=0.7$ .

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1 2 3 4 5 6 ...10

Measurement

Problem 201

12. Find another point on a line with slope −23-\frac{2}{3}−32​ and point AAA at (−1,−5)(-1,-5)(−1,−5).13. A ladder leans against a wall. Its base is 1.5m1.5 \mathrm{m}1.5m from the wall, and its top touches the wall 4 m4 \mathrm{~m}4 m above the ground. Find the ladder's slope.

Problem 202

Select the mutually exclusive option: P(red) and P(black)P(red) \text{ and } P(black)P(red) and P(black) from a standard deck, or P(sum=6) and P(sum=4)P(sum = 6) \text{ and } P(sum = 4)P(sum=6) and P(sum=4) from two dice rolls.

Problem 203

Find the number line representation of the expression 52+3\frac{5}{2} + 325​+3.

Problem 204

Simplify the expression −3k0-3 k^{0}−3k0 assuming the variable represents a nonzero real number.

Problem 205

(a) A potter bought clay, used 1/51/51/5 for mugs, 5/85/85/8 for teapots, and 7/127/127/12 of the remainder for bowls. He had 55 oz left. How many oz of clay did he buy? (b) How many oz of clay was used on each set of items?

Problem 206

Calculate the percent change in grocery expenditures from March to April. Groceries: 112inMarch,112 in March, 112inMarch,120 in April. Round to nearest whole percent.

Problem 207

Graph the solution set for the inequality −4>x-4 > x−4>x.

Problem 208

Find the value of xxx where the linear functions g(x)=2x+11g(x) = 2x + 11g(x)=2x+11 and f(x)=−2x+9f(x) = -2x + 9f(x)=−2x+9 intersect.

Problem 209

Evaluate the expression 96−5r96-5r96−5r when r=13r=13r=13.

Problem 210

Find a number xxx such that 48−x=4x−748 - x = 4x - 748−x=4x−7.

Problem 211

Solve the absolute value equation 4∣7−52x∣+8=404|7-\frac{5}{2}x|+8=404∣7−25​x∣+8=40 or indicate no solution.

Problem 212

Write expressions for: 6x−96x - 96x−9, 63×8\frac{6}{3} \times 836​×8, and x−12x - 12x−12.

Problem 213

Find the value of 9−29^{-2}9−2.

Problem 214

Determine if the point (2,1)(2,1)(2,1) satisfies the system of inequalities 5x+2y<185x + 2y < 185x+2y<18 and 5x+y>15x + y > 15x+y>1.

Problem 215

Find the missing number in the equation 3/4+x/4=13/4 + x/4 = 13/4+x/4=1.

Problem 216

Find the value of ttt where the logistic function y=M1+ce−kMty=\frac{M}{1+c e^{-k M t}}y=1+ce−kMtM​ equals M2\frac{M}{2}2M​.

Problem 217

Simplify the expression −4813+(−8)-\frac{48}{13}+(-8)−1348​+(−8).

Problem 218

Solve the system of linear equations: −6.4x=4y+2.1-6.4 x=4 y+2.1−6.4x=4y+2.1 and ky+3.2x=5.8k y+3.2 x=5.8ky+3.2x=5.8

Problem 219

Problem 220

16. Approximate 2\sqrt{2}2​ as 1.414. Find approximate values for: a) 200\sqrt{200}200​ b) 20000\sqrt{20000}20000​17. Approximate 23\sqrt[3]{2}32​ as 1.260 and 43\sqrt[3]{4}34​ as 1.587. Find approximate values for: a) 20003\sqrt[3]{2000}32000​ b) 40000003\sqrt[3]{4000000}34000000​

Problem 221

Evaluate u⊙v=2u−vu \odot v = 2u - vu⊙v=2u−v for 4⊙(2⊙5)4 \odot (2 \odot 5)4⊙(2⊙5).

Problem 222

Problem 223

Solve for yyy in the equation −y8=−23-\frac{y}{8}=-23−8y​=−23. Simplify the solution y=y=y=.

Problem 224

Find the value of xxx when y=a+bln⁡xy = a + b \ln xy=a+blnx, given a=12.3301088919a = 12.3301088919a=12.3301088919 and b=−8.22097130319b = -8.22097130319b=−8.22097130319, and y=−16y = -16y=−16.

Problem 225

Solve the trigonometric equation tan⁡θ=−3\tan \theta = -\sqrt{3}tanθ=−3​ using the unit circle.

Problem 226

Find the value of xxx that satisfies the equation 83x+4=10\frac{83}{x+4}=10x+483​=10.

Problem 227

Solve the linear equation x+3.75=5.5x + 3.75 = 5.5x+3.75=5.5 to find the value of xxx.

Problem 228

Determine if (−1,29)(-1,29)(−1,29) is a solution to the quadratic equation y=−2x2−5x+22y=-2x^2-5x+22y=−2x2−5x+22. Show your work.

Problem 229

Complete the exponential decay table: Original Amount: 19,00019,00019,000, Decay Rate: 13%13\%13% per year, Years: 181818, Final Amount after 181818 years of decay.

Problem 230

Solve for xxx in the equation 1.008165=22−x−1.008165x21.008165=\frac{2}{2-x}-\frac{1.008165 x}{2}1.008165=2−x2​−21.008165x​.

Problem 231

Determine which term the negative sign belongs to in the expression 16t−3t16 t-3 t16t−3t compared to 3t−16t3 t-16 t3t−16t.

Problem 232

Solve the system of linear equations to find the common solution.x+y=20x+y=20x+y=20 and y=2x−1y=2x-1y=2x−1 y=2xy=2xy=2x and y=−6x+4y=-6x+4y=−6x+4

Problem 233

Solve for x in the linear equation 12−12x=−6x+4812-12x=-6x+4812−12x=−6x+48.

Problem 234

Simplify the expression −8(−4x3+5−2y2)-8(-4x^3 + 5 - 2y^2)−8(−4x3+5−2y2) using the distributive property.

Problem 235

Find the product of two complex numbers and express the result in the form a+bia + bia+bi.

Problem 236

Identify the levels of measurement: {\{{Nominal Data, Ratio, Quantitative Data, Ordinal Data}\}}

Problem 237

Perform the indicated operation 2.6+2.12.6 + 2.12.6+2.1 and use a calculator to verify the result.

Problem 238

Determine if the underlined value, 59%59\%59% of passes completed for 265 yards and 2 TDs, is a parameter or statistic.

Problem 239

Calculate the exact value of the 27P4{ }_{27} P_{4}27​P4​ permutation expression.

Problem 240

Find the demand function D(p)=−2p2−6p+300D(p) = -2p^2 - 6p + 300D(p)=−2p2−6p+300 and its rate of change w.r.t. price ppp. Interpret the rate of change when p=$11p = \$11p=$11.

Problem 241

12. Find another point on a line with slope $-\frac{2}{3}$ and point $A$ at $(-1,-5)$ .
13. A ladder leans against a wall. Its base is $1.5 \mathrm{m}$ from the wall, and its top touches the wall $4 \mathrm{~m}$ above the ground. Find the ladder's slope.

Select the mutually exclusive option: $P(red) \text{ and } P(black)$ from a standard deck, or $P(sum = 6) \text{ and } P(sum = 4)$ from two dice rolls.

Find the number line representation of the expression $\frac{5}{2} + 3$ .

Simplify the expression $-3 k^{0}$ assuming the variable represents a nonzero real number.

(a) A potter bought clay, used $1/5$ for mugs, $5/8$ for teapots, and $7/12$ of the remainder for bowls. He had 55 oz left. How many oz of clay did he buy? (b) How many oz of clay was used on each set of items?

Calculate the percent change in grocery expenditures from March to April. Groceries: $112 in March,$ 120 in April. Round to nearest whole percent.

Graph the solution set for the inequality $-4 > x$ .

Find the value of $x$ where the linear functions $g(x) = 2x + 11$ and $f(x) = -2x + 9$ intersect.

Evaluate the expression $96-5r$ when $r=13$ .

Find a number $x$ such that $48 - x = 4x - 7$ .

Solve the absolute value equation $4|7-\frac{5}{2}x|+8=40$ or indicate no solution.

Write expressions for: $6x - 9$ , $\frac{6}{3} \times 8$ , and $x - 12$ .

Find the value of $9^{-2}$ .

Determine if the point $(2,1)$ satisfies the system of inequalities $5x + 2y < 18$ and $5x + y > 1$ .

Find the missing number in the equation $3/4 + x/4 = 1$ .

Find the value of $t$ where the logistic function $y=\frac{M}{1+c e^{-k M t}}$ equals $\frac{M}{2}$ .

Simplify the expression $-\frac{48}{13}+(-8)$ .

Solve the system of linear equations: $-6.4 x=4 y+2.1$ and $k y+3.2 x=5.8$

16. Approximate $\sqrt{2}$ as 1.414. Find approximate values for: a) $\sqrt{200}$ b) $\sqrt{20000}$
17. Approximate $\sqrt[3]{2}$ as 1.260 and $\sqrt[3]{4}$ as 1.587. Find approximate values for: a) $\sqrt[3]{2000}$ b) $\sqrt[3]{4000000}$

Evaluate $u \odot v = 2u - v$ for $4 \odot (2 \odot 5)$ .

Solve for $y$ in the equation $-\frac{y}{8}=-23$ . Simplify the solution $y=$ .

Find the value of $x$ when $y = a + b \ln x$ , given $a = 12.3301088919$ and $b = -8.22097130319$ , and $y = -16$ .

Solve the trigonometric equation $\tan \theta = -\sqrt{3}$ using the unit circle.

Find the value of $x$ that satisfies the equation $\frac{83}{x+4}=10$ .

Solve the linear equation $x + 3.75 = 5.5$ to find the value of $x$ .

Determine if $(-1,29)$ is a solution to the quadratic equation $y=-2x^2-5x+22$ . Show your work.

Complete the exponential decay table: Original Amount: $19,000$ , Decay Rate: $13\%$ per year, Years: $18$ , Final Amount after $18$ years of decay.

Solve for $x$ in the equation $1.008165=\frac{2}{2-x}-\frac{1.008165 x}{2}$ .

Determine which term the negative sign belongs to in the expression $16 t-3 t$ compared to $3 t-16 t$ .

Solve the system of linear equations to find the common solution.
$x+y=20$ and $y=2x-1$ $y=2x$ and $y=-6x+4$

Solve for x in the linear equation $12-12x=-6x+48$ .

Simplify the expression $-8(-4x^3 + 5 - 2y^2)$ using the distributive property.

Find the product of two complex numbers and express the result in the form $a + bi$ .

Identify the levels of measurement: $\{$ Nominal Data, Ratio, Quantitative Data, Ordinal Data $\}$

Perform the indicated operation $2.6 + 2.1$ and use a calculator to verify the result.

Determine if the underlined value, $59\%$ of passes completed for 265 yards and 2 TDs, is a parameter or statistic.

Calculate the exact value of the ${ }_{27} P_{4}$ permutation expression.

Find the demand function $D(p) = -2p^2 - 6p + 300$ and its rate of change w.r.t. price $p$ . Interpret the rate of change when $p = \$11$ .

Solve for height $h$ given area $A$ and base $b$ using the formula $A=bh$ . Options: B) $h=\frac{A}{b}$

Find the ordered pair that satisfies the inequality $12 \geq 2x + 4y$ given the points $(6,0)$ , $(0,6)$ , $(3,6)$ , and $(-2,8)$ on the graph of $12 = 2x + 4y$ .

Find the time (in seconds) when Ana, who dives from a high springboard, hits the water given the height model $h(x) = -5(x+1)(x-3)$ .

Multiply the complex number $9-12i$ by its complex conjugate and simplify the result.

Solve the equation $\frac{8}{x}=2x$ graphically and numerically.

Simplify the numerical expression $8^{2}+7(-2-5)+3$ using the rules for order of operations.

Find the value of $12 t - 2 y$ given that $x = 3$ is a solution to the equation $2 t x - y = 4$ .

Evaluate $\lim _{x \rightarrow 1} \frac{\sqrt{x}-1}{x-1}$ using the provided table of $x$ and $f(x)$ values.

Solve the polynomial inequality $x^{3} - x^{2} - 12x > 0$ using the test-point method.

Solve the equation $\pi x + 3 = 4\pi x$ for $x$ .

Determine if the linear equation $3x + 6y = 12$ represents a function.

Solve the equation $8^{2x-3} = \left(\frac{1}{16}\right)^{x-2}$ for the unknown variable $x$ .

Solve for time $t$ in the equation $r = r_0 + \frac{1}{2}at^2$ , where $r_0$ and $a$ are known constants.

Simplify the complex expression $-6 i(8+2 i)$ and write the result in standard form.

Differentiate the function $f(\theta) = \frac{\sec \theta}{5 + \sec \theta}$ .

Solve the subtraction $(-7)-(+7)$ and model at least 3 subtraction problems.

Solve for $q$ where the product of two linear expressions equals 0. Write the solutions as integers or simplified fractions.

Solve the inequality $3|x+1|-2<4$ and select the correct solution.
A) $-3<x$ or $x<1$ B) $-3<x$ or $x>1$ C) $-3<x<1$ D) $-3<x$ and $x>1$

Divide $8.8 \times 10^{-3}$ by $2.4 \times 10^{-7}$ and give the answer in scientific notation.

Solve for $w$ where $w^{2}-4=0$ . Write answers as integers or simplified fractions.

Simplify $\frac{x^{4}+7 x^{3}-10 x^{2}-63 x+9}{x^{2}-9}$ where $x^{2} \neq 9$ using long or synthetic division.

Solve the inequality $3(x-9)<15$ and select the correct answer.

Simplify the expression $\frac{5}{7 y} \times \frac{10}{3 y}$ .

Convert temperature from Fahrenheit to Celsius given $101^\circ F$ .

Solve for the unknown value $u$ given the equation $10.24 = 4u$ .

Find the ratio of roses to daisies and daisies to all flowers in a vase with 5 roses and 11 total flowers.
(a) Ratio of roses to daisies: $\frac{5}{11-5}$ (b) Ratio of daisies to all flowers: $\frac{11-5}{11}$

Describe the types of symmetry in the circle with equation $x^2 + y^2 = 1$ .

Determine the number of significant digits in the value $587,410$ .

Solve $\left(u-14\right)\left(u+10\right)=-104$ using the completing the square method. Answer: $u=\pm 2, \pm 12$

Find the derivative of $\sqrt{5 x^{2}-4}$ with respect to $x$ .

Solve for the variable $v$ in the equation $3xy = v/4$ .