Solve

Problem 29201

Solve the equation $x^{2}-32=0$ to find $x$ algebraically and graphically.

See Solution

Problem 29202

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

See Solution

Problem 29203

Calculate the grams of Sodium carbonate (Na2CO3) needed for a 1.1\% w/v solution in 50 mL of water.

See Solution

Problem 29204

Solve the initial value problem $y' = 9ty^2$ , $y(0) = y_0$ , and find how the solution interval depends on $y_0$ .

See Solution

Problem 29205

Find the derivative $f^{\prime}(x)$ of $f(x)=\frac{12}{x}$ and evaluate $f^{\prime}(-2), f^{\prime}(0), f^{\prime}(5)$ .

See Solution

Problem 29206

Calculate $n$ using the formula $n = A \cdot B \times A C$ and the determinant $\left| \begin{array}{ccc} 3 & 1 & 1 \\ 2 & -1 & -3 \end{array} \right|$ .

See Solution

Problem 29207

Find the derivative $f^{\prime}(x)$ for $f(x)=\frac{48}{x}$ and calculate $f^{\prime}(-4)$ , $f^{\prime}(0)$ , $f^{\prime}(3)$ .

See Solution

Problem 29208

Solve $2.25 - 11j - 7.75 + 1.5j = 0.5j - 1$ . Find the value of $j$ . Options: $-0.45$ , $-0.25$ , $0.25$ , $0.45$ .

See Solution

Problem 29209

Find the grams of NaOH required for a $0.1 \, \text{M}$ solution in a $50 \, \text{ml}$ flask with deionized water.

See Solution

Problem 29210

Find the derivative $g^{\prime}(x)$ for $g(x)=\sqrt{7 x}$ , then calculate $g^{\prime}(-3), g^{\prime}(0), g^{\prime}(4)$ .

See Solution

Problem 29211

Solve the initial value problem $y^{\prime}+7 y=g(t)$ with $y(0)=0$ , where $g(t)=1$ for $0 \leq t \leq 1$ and $g(t)=0$ for $t>1$ .

See Solution

Problem 29212

Solve the equation $2.25 - 11j - 7.75 + 1.5j = 0.5j - 1$ . Find the value of $j$ .

See Solution

Problem 29213

Find the derivative $g^{\prime}(x)$ of $g(x)=\sqrt{15 x}$ , then compute $g^{\prime}(-3)$ , $g^{\prime}(0)$ , and $g^{\prime}(3)$ .

See Solution

Problem 29214

Calculate Michael Phelps' resultant velocity swimming North at $14 \mathrm{~m/s}$ against a $5 \mathrm{~m/s}$ South current.

See Solution

Problem 29215

Find the resultant velocity when crossing a river with a current of $15 \mathrm{~m/s}$ downstream and crossing at $2 \mathrm{~m/s}$ north.

See Solution

Problem 29216

Find the value of $\frac{4 x-y}{2 y+x}$ for $x=3$ and $y=3$ .

See Solution

Problem 29217

Find the derivative $f^{\prime}(x)$ of $f(x)=4x^{3}+10$ using the limit definition, then calculate $f^{\prime}(-1)$ , $f^{\prime}(0)$ , and $f^{\prime}(4)$ .

See Solution

Problem 29218

Find the value of $2x + 11y$ for $x = 4$ and $y = 2$ . Choices: 30, 38, 48, 136.

See Solution

Problem 29219

Prepare a 100 ppm NaCl solution from a 1000 ppm stock using $M1V1 = M2V2$ . Find the volume of stock needed.

See Solution

Problem 29220

Alice has $\frac{3}{4}$ of a chocolate bar. How much does each of the 4 people get when shared equally?

See Solution

Problem 29221

Solve for $b$ in the equation $(2b + 88) + (-6b + 74) = 170$ .

See Solution

Problem 29222

Find the value of $x$ in the equation $x - 3x = 2(4 + x)$ .

See Solution

Problem 29223

Solve for $x$ : $x^{\frac{1}{3}}=2$ .

See Solution

Problem 29224

In a race, a turtle has a 7 km head start and runs at 2 km/hr. A rabbit runs at 7 km/hr. How long until the rabbit catches the turtle?
1. The distance that the rabbit travels is $d_r = 7 + 7t$ .
2. The distance that the turtle travels is $d_t = 2t$ .
The rabbit races a distance of $d_r$ at 7 km/hr for time $t$ .

See Solution

Problem 29225

Find the constant of proportionality for Rocko's and Louisa's game ticket purchases.

See Solution

Problem 29226

Find the constant of proportionality in minutes per cupcake for 40 cupcakes in 70 minutes and 28 cupcakes in 49 minutes.

See Solution

Problem 29227

Calculate midpoints for class intervals using the formula $\frac{{\text{{lower limit}} + \text{{upper limit}}}}{2}$ .

See Solution

Problem 29228

Find the secant line for $y=f(x)=x^{2}+x$ at $x=3$ and $x=7$ , and the tangent line at $x=3$ .

See Solution

Problem 29229

Find the maximum height of a projectile launched at $30^{\circ}$ with an initial speed of $50 \mathrm{~m/s}$ . Use $h(t)=v_{0} \sin (\theta) t-\frac{1}{2} g t^{2}$ , where $g=9.81 \mathrm{~m/s}^{2}$ .

See Solution

Problem 29230

Find the secant line between $x=3$ and $x=7$ for $y=f(x)=x^{2}+x$ , and the tangent line at $x=3$ .

See Solution

Problem 29231

Solve for real solutions of $2 x^{4}-23 x^{3}+89 x^{2}-129 x+45=0$ . A: $\mathrm{x}=$ (exact answers); B: No real solutions.

See Solution

Problem 29232

Convert $617 \times 10^{3}$ to standard notation.

See Solution

Problem 29233

Solve for $x$ in the equation: $8 - 2x = -8x + 14$ . Options: $x = -1$ , $x = -\frac{3}{5}$ , $x = \frac{3}{5}$ , $x = 1$ .

See Solution

Problem 29234

Solve the inequality: $9x - 9 \geq -4x^2$ . Provide the solution in interval notation.

See Solution

Problem 29235

Find the complex zeros of the polynomial $f(x)=x^{3}-15 x^{2}+79 x-145$ .

See Solution

Problem 29236

Evaluate $4 + 2 \times [(29 - 15) \div 2]$ . Find values inside parentheses, brackets, and the entire expression.

See Solution

Problem 29237

Solve the equation $d-10-2d+7=8+d-10-3d$ . What is $d$ ? Options: $-5$ , $-1$ , $1$ , $5$ .

See Solution

Problem 29238

Solve the inequality: $\frac{x+1}{x-4}>0$ . Provide your answer in interval notation.

See Solution

Problem 29239

Find the product of the functions $f(x)=3 x^{2}+5 x$ and $g(x)=7 x+3$ . What is $f(x) g(x)$ ?

See Solution

Problem 29240

Find $f(3) g(3)$ for $f(x)=2 x^{2}+4 x+5$ and $g(x)=x^{2}+x+1$ .

See Solution

Problem 29241

If $y$ varies directly with $x$ and $y$ is 72 when $x$ is 9, find $y$ when $x$ is 17. $y=[?]$

See Solution

Problem 29242

In a race, a turtle has a $7 \mathrm{~km}$ head start, running at $\frac{2 \mathrm{~km}}{\mathrm{hr}}$ , while a rabbit runs at $\frac{7 \mathrm{~km}}{\mathrm{hr}}$ . How long until the rabbit catches the turtle?
1. The distance that the rabbit travels is $7 + 2t$ .
2. The distance that the turtle travels is $7t$ .
The rabbit races $7 + 2t$ km at $\frac{7 \mathrm{~km}}{\mathrm{hr}}$ for time $t$ .

See Solution

Problem 29243

Solve the equation $2.8y + 6 + 0.2y = 5y - 14$ . Find the value of $y$ . Options: $-10$ , $-1$ , $1$ , $10$ .

See Solution

Problem 29244

Solve for $y$ in the equation: $y + 6 = -3y + 26$ . Options: $-8$ , $-5$ , $5$ , $8$ .

See Solution

Problem 29245

Solve the equation: $\frac{2}{3} x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6} x$ . What is $x$ ?

See Solution

Problem 29246

What is the maximum mass of $H_{2}O$ produced from $8.0 \mathrm{~g}$ of $N_{2}H_{4}$ and $92 \mathrm{~g}$ of $N_{2}O_{4}$ ?

See Solution

Problem 29247

Find the product $f(x) g(x)$ for $f(x)=3 x^{2}+4 x+5$ and $g(x)=x^{2}+x+1$ .

See Solution

Problem 29248

Find all real zeros of the polynomial $f(x)=2 x^{4}+x^{3}-7 x^{2}-3 x+3$ and factor it over the reals.

See Solution

Problem 29249

Find the value of the piecewise function $f(x)$ at $x = -4$ .

See Solution

Problem 29250

Find the value of the piecewise function $f(x)$ at $x = -1$ , where $f(x)$ is defined as:
$f(x)=\left\{\begin{array}{lll} 3 x-5 & \text { for } & x<1 \\ 1 & \text { for } & x=1 \\ -2 & \text { for } & 1<x \leq 5 \end{array}\right.$

See Solution

Problem 29251

Evaluate the following compositions: $(f \circ g)(1)$ , $(f \circ g)(-1)$ , $(g \circ f)(0)$ , $(g \circ f)(-1)$ , $(g \circ g)(-2)$ , $(f \circ f)(-1)$ . Use values from $f(x)$ and $g(x)$ : $f(-3)=-6$ , $f(-2)=-4$ , $f(-1)=-2$ , $f(0)=-1$ , $f(1)=2$ , $f(2)=4$ , $f(3)=6$ , $g(-3)=6$ , $g(-2)=2$ , $g(-1)=0$ , $g(0)=-1$ , $g(1)=0$ , $g(2)=2$ , $g(3)=6$ .

See Solution

Problem 29252

Find the value of the piecewise function $f(x)$ at $x = -1$ :
$f(x)=\left\{\begin{array}{lll} 2 x+8 & \text { for } & -5 \leq x<-1 \\ -6 & \text { for } & x=-1 \\ x+5 & \text { for } & -1<x \leq 2 \end{array}\right.$

See Solution

Problem 29253

Calculate $-94 \div 47$ .

See Solution

Problem 29254

Convert the mixed number $1 \frac{5}{12}$ to its decimal form.

See Solution

Problem 29255

Calculate: 10. $52 \cdot(-6)$ and 13. $-94 \div 47$ .

See Solution

Problem 29256

Find the probability of drawing a 7 from a standard 52-card deck. Express your answer as a fraction.

See Solution

Problem 29257

Calculate the value of $-3 \cdot(-8) \div(-6)$ .

See Solution

Problem 29258

Calculate the product of 52 and -6: $52 \cdot (-6)$ .

See Solution

Problem 29259

Solve for $p$ : $2.6(5.5 p-12.4)=127.92$ . Use the distributive, addition, and division properties.

See Solution

Problem 29260

Convert the mixed number to a decimal: $5 \frac{3}{20}=$

See Solution

Problem 29261

Calculate the value of $5 \frac{3}{20}$ .

See Solution

Problem 29262

Find the probability of exactly 5 Mexican-Americans among 12 jurors: $P(x=5)=$ . Also, find $P(x \leq 5)=$ . Round to four decimal places.

See Solution

Problem 29263

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\sin \theta = \frac{\sqrt{3}}{2}$ .

See Solution

Problem 29264

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\cos \theta=\frac{\sqrt{2}}{2}$ .

See Solution

Problem 29265

A school play sold tickets for \$ 3 (student) and \$ 7 (adult). Total sales were \$ 2,001 with 467 tickets sold. Find counts.

See Solution

Problem 29266

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

See Solution

Problem 29267

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ where $\tan \theta = -\sqrt{3}$ .

See Solution

Problem 29268

Find the following: (a) $(f \circ g)(4)$ for $f(x)=3x$ and $g(x)=6x^2+6$ (b) $(g \circ f)(2)$ (c) $(f \circ f)(1)$ (d) $(g \circ g)(0)$

See Solution

Problem 29269

Lisa bought 100 items: cups at \ $2 and bracelets at \$3, costing \$260. Find the number of cups using:$ $\left\{\begin{array}{l} c+b=100 \\ 2 c+3 b=260 \end{array}\right.$ $

See Solution

Problem 29270

1. Find $\sin 83^{\circ}$ .
2. Find $\cos^{-1} 0.47$ .
3. Find $\tan 16^{\circ}$ .
4. Find $\cot 21^{\circ}$ .
5. Find $\sin^{-1} 0.40$ .

See Solution

Problem 29271

Find composite functions for $f(x)=9x+7$ and $g(x)=x^{2}$ : (a) $f \circ g$ , (b) $g \circ f$ , (c) $f \circ f$ , (d) $g \circ g$ . State their domains.

See Solution

Problem 29272

Find the solutions for the system: $2y=4x+12$ and $y=2x-6$ .

See Solution

Problem 29273

Solve the equations: 4x - 3y = 8 and 2x + y = 11. Find the value of $y$ . Choices: $-\frac{8}{3}$ , $-6$ , $14$ , $\frac{14}{5}$ .

See Solution

Problem 29274

Qian is one of 12 students. What is the probability he is chosen among 3 leaders? Convert the fraction to a decimal.

See Solution

Problem 29275

Find the composite functions for $f(x)=6x+8$ and $g(x)=x^{2}$ :
(a) $f \circ g$ , (b) $g \circ f$ , (c) $f \circ f$ , (d) $g \circ g$ . State their domains.

See Solution

Problem 29276

Solve for $x$ in the equation: $x - 6 = -13$ .

See Solution

Problem 29277

Find $g(x)=3x+2$ for $x = -1, 0, 2, 3, 5$ and complete the function table with the values of $g(x)$ .

See Solution

Problem 29278

Find the probability that a job is offered to a woman from 4 men and 8 women. Round the decimal to three places.

See Solution

Problem 29279

Solve for $x$ in the equation: $-10.1 = x + 5.3$ .

See Solution

Problem 29280

Calculate $4(15 \div 3)+(6 \times 3)-2^{2}$ and show your work.

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Problem 29281

Find values of $g(x)=3x+2$ for $x=-1, 0, 2, 3, 5$ . Complete the function table.

See Solution

Problem 29282

Find values of $f(x)=4x+4$ for $x=-1, 0, 1, 2, 5$ .

See Solution

Problem 29283

Given the data pairs (0, 4), (1, 55), (2, 4578), (3, 2), find the mean, median, and mode(s) of the values.

See Solution

Problem 29284

A car goes 64 mph. How far does it travel in 3 hours and 15 minutes? Calculate using $d = rt$ .

See Solution

Problem 29285

A school play sold 500 tickets for \$1480. Student tickets are \$2, adult tickets are \$5. How many of each type?

See Solution

Problem 29286

Find $f(-6)$ for $f(x)=2x+2$ and $g(-3)$ for $g(x)=-2x^{3}-5$ . Simplify your answers.

See Solution

Problem 29287

A copy machine makes 154 copies in 3.5 minutes. How many copies does it make per minute? $\frac{154}{3.5}$ copies per minute.

See Solution

Problem 29288

Solve the equations: $-2x + 3y = 8$ and $5x - 2y = -9$ . Choose the correct solution from the options provided.

See Solution

Problem 29289

Calculate the sum: $\frac{12}{13} + \left(-\frac{1}{13}\right)$ .

See Solution

Problem 29290

A car goes 68 mph. How long to travel 238 miles? hours $\square$ minutes

See Solution

Problem 29291

A light bulb uses 3600 watt-hours daily. Find its consumption in 3 days and 18 hours.

See Solution

Problem 29292

Solve the equations: $-3x + 4y = 13$ and $5x - 3y = -18$ . Choose the correct solution from the options provided.

See Solution

Problem 29293

Xavier buys 18 bottles of orange juice for a total of \ $14.04. What is the cost per bottle? Calculate:$ \frac{14.04}{18}$.

See Solution

Problem 29294

Tomás calculates $-2.6 + (-5.4)$ . What is the result?

See Solution

Problem 29295

A store buys 17 sweaters for \$204 and sells them for \$646. Find the profit per sweater.

See Solution

Problem 29296

Find the correct formula for rubidium phosphate.

See Solution

Problem 29297

Nicole practiced the piano 2030 minutes in 5 weeks. Find her daily practice rate in minutes per day.

See Solution

Problem 29298

Write numbers in specified place values: 1 in hundreds, 8 in tens, 4 in ones, etc. Explain value of 0 in ten thousands.

See Solution

Problem 29299

Ava practiced piano for 588 minutes over 14 days. What is her daily practice rate in minutes?

See Solution

Problem 29300

Calculate the mean, median, and mode for the data set: 89, 56, 60, 48, 22, 48. Round answers to one decimal place.

See Solution

1 ...290 291 292 293 294 295 296 ...307

Solve

Problem 29201

Solve the equation x2−32=0x^{2}-32=0x2−32=0 to find xxx algebraically and graphically.

Problem 29202

Calculate −34+56-\frac{3}{4}+\frac{5}{6}−43​+65​.

Problem 29203

Calculate the grams of Sodium carbonate (Na2CO3) needed for a 1.1\% w/v solution in 50 mL of water.

Problem 29204

Solve the initial value problem y′=9ty2y' = 9ty^2y′=9ty2, y(0)=y0y(0) = y_0y(0)=y0​, and find how the solution interval depends on y0y_0y0​.

Problem 29205

Find the derivative f′(x)f^{\prime}(x)f′(x) of f(x)=12xf(x)=\frac{12}{x}f(x)=x12​ and evaluate f′(−2),f′(0),f′(5)f^{\prime}(-2), f^{\prime}(0), f^{\prime}(5)f′(−2),f′(0),f′(5).

Problem 29206

Calculate nnn using the formula n=A⋅B×ACn = A \cdot B \times A Cn=A⋅B×AC and the determinant ∣3112−1−3∣\left| \begin{array}{ccc} 3 & 1 & 1 \\ 2 & -1 & -3 \end{array} \right|∣∣​32​1−1​1−3​∣∣​.

Problem 29207

Find the derivative f′(x)f^{\prime}(x)f′(x) for f(x)=48xf(x)=\frac{48}{x}f(x)=x48​ and calculate f′(−4)f^{\prime}(-4)f′(−4), f′(0)f^{\prime}(0)f′(0), f′(3)f^{\prime}(3)f′(3).

Problem 29208

Solve 2.25−11j−7.75+1.5j=0.5j−12.25 - 11j - 7.75 + 1.5j = 0.5j - 12.25−11j−7.75+1.5j=0.5j−1. Find the value of jjj. Options: −0.45-0.45−0.45, −0.25-0.25−0.25, 0.250.250.25, 0.450.450.45.

Problem 29209

Find the grams of NaOH required for a 0.1 M0.1 \, \text{M}0.1M solution in a 50 ml50 \, \text{ml}50ml flask with deionized water.

Problem 29210

Find the derivative g′(x)g^{\prime}(x)g′(x) for g(x)=7xg(x)=\sqrt{7 x}g(x)=7x​, then calculate g′(−3),g′(0),g′(4)g^{\prime}(-3), g^{\prime}(0), g^{\prime}(4)g′(−3),g′(0),g′(4).

Problem 29211

Solve the initial value problem y′+7y=g(t)y^{\prime}+7 y=g(t)y′+7y=g(t) with y(0)=0y(0)=0y(0)=0, where g(t)=1g(t)=1g(t)=1 for 0≤t≤10 \leq t \leq 10≤t≤1 and g(t)=0g(t)=0g(t)=0 for t>1t>1t>1.

Problem 29212

Solve the equation 2.25−11j−7.75+1.5j=0.5j−12.25 - 11j - 7.75 + 1.5j = 0.5j - 12.25−11j−7.75+1.5j=0.5j−1. Find the value of jjj.

Problem 29213

Find the derivative g′(x)g^{\prime}(x)g′(x) of g(x)=15xg(x)=\sqrt{15 x}g(x)=15x​, then compute g′(−3)g^{\prime}(-3)g′(−3), g′(0)g^{\prime}(0)g′(0), and g′(3)g^{\prime}(3)g′(3).

Problem 29214

Calculate Michael Phelps' resultant velocity swimming North at 14 m/s14 \mathrm{~m/s}14 m/s against a 5 m/s5 \mathrm{~m/s}5 m/s South current.

Problem 29215

Find the resultant velocity when crossing a river with a current of 15 m/s15 \mathrm{~m/s}15 m/s downstream and crossing at 2 m/s2 \mathrm{~m/s}2 m/s north.

Problem 29216

Find the value of 4x−y2y+x\frac{4 x-y}{2 y+x}2y+x4x−y​ for x=3x=3x=3 and y=3y=3y=3.

Problem 29217

Find the derivative f′(x)f^{\prime}(x)f′(x) of f(x)=4x3+10f(x)=4x^{3}+10f(x)=4x3+10 using the limit definition, then calculate f′(−1)f^{\prime}(-1)f′(−1), f′(0)f^{\prime}(0)f′(0), and f′(4)f^{\prime}(4)f′(4).

Problem 29218

Find the value of 2x+11y2x + 11y2x+11y for x=4x = 4x=4 and y=2y = 2y=2. Choices: 30, 38, 48, 136.

Problem 29219

Prepare a 100 ppm NaCl solution from a 1000 ppm stock using M1V1=M2V2M1V1 = M2V2M1V1=M2V2. Find the volume of stock needed.

Problem 29220

Alice has 34\frac{3}{4}43​ of a chocolate bar. How much does each of the 4 people get when shared equally?

Problem 29221

Solve for bbb in the equation (2b+88)+(−6b+74)=170(2b + 88) + (-6b + 74) = 170(2b+88)+(−6b+74)=170.

Problem 29222

Find the value of xxx in the equation x−3x=2(4+x)x - 3x = 2(4 + x)x−3x=2(4+x).

Problem 29223

Solve for xxx: x13=2x^{\frac{1}{3}}=2x31​=2.

Problem 29224

Problem 29225

Find the constant of proportionality for Rocko's and Louisa's game ticket purchases.

Problem 29226

Find the constant of proportionality in minutes per cupcake for 40 cupcakes in 70 minutes and 28 cupcakes in 49 minutes.

Problem 29227

Calculate midpoints for class intervals using the formula lower limit+upper limit2\frac{{\text{{lower limit}} + \text{{upper limit}}}}{2}2lower limit+upper limit​.

Problem 29228

Find the secant line for y=f(x)=x2+xy=f(x)=x^{2}+xy=f(x)=x2+x at x=3x=3x=3 and x=7x=7x=7, and the tangent line at x=3x=3x=3.

Problem 29229

Find the maximum height of a projectile launched at 30∘30^{\circ}30∘ with an initial speed of 50 m/s50 \mathrm{~m/s}50 m/s. Use h(t)=v0sin⁡(θ)t−12gt2h(t)=v_{0} \sin (\theta) t-\frac{1}{2} g t^{2}h(t)=v0​sin(θ)t−21​gt2, where g=9.81 m/s2g=9.81 \mathrm{~m/s}^{2}g=9.81 m/s2.

Problem 29230

Find the secant line between x=3x=3x=3 and x=7x=7x=7 for y=f(x)=x2+xy=f(x)=x^{2}+xy=f(x)=x2+x, and the tangent line at x=3x=3x=3.

Problem 29231

Solve for real solutions of 2x4−23x3+89x2−129x+45=02 x^{4}-23 x^{3}+89 x^{2}-129 x+45=02x4−23x3+89x2−129x+45=0. A: x=\mathrm{x}=x= (exact answers); B: No real solutions.

Problem 29232

Convert 617×103617 \times 10^{3}617×103 to standard notation.

Problem 29233

Solve for xxx in the equation: 8−2x=−8x+148 - 2x = -8x + 148−2x=−8x+14. Options: x=−1x = -1x=−1, x=−35x = -\frac{3}{5}x=−53​, x=35x = \frac{3}{5}x=53​, x=1x = 1x=1.

Problem 29234

Solve the inequality: 9x−9≥−4x29x - 9 \geq -4x^29x−9≥−4x2. Provide the solution in interval notation.

Problem 29235

Find the complex zeros of the polynomial f(x)=x3−15x2+79x−145f(x)=x^{3}-15 x^{2}+79 x-145f(x)=x3−15x2+79x−145.

Problem 29236

Evaluate 4+2×[(29−15)÷2]4 + 2 \times [(29 - 15) \div 2]4+2×[(29−15)÷2]. Find values inside parentheses, brackets, and the entire expression.

Problem 29237

Solve the equation d−10−2d+7=8+d−10−3dd-10-2d+7=8+d-10-3dd−10−2d+7=8+d−10−3d. What is ddd? Options: −5-5−5, −1-1−1, 111, 555.

Problem 29238

Solve the inequality: x+1x−4>0\frac{x+1}{x-4}>0x−4x+1​>0. Provide your answer in interval notation.

Problem 29239

Find the product of the functions f(x)=3x2+5xf(x)=3 x^{2}+5 xf(x)=3x2+5x and g(x)=7x+3g(x)=7 x+3g(x)=7x+3. What is f(x)g(x)f(x) g(x)f(x)g(x)?

Problem 29240

Find f(3)g(3)f(3) g(3)f(3)g(3) for f(x)=2x2+4x+5f(x)=2 x^{2}+4 x+5f(x)=2x2+4x+5 and g(x)=x2+x+1g(x)=x^{2}+x+1g(x)=x2+x+1.

Solve the equation $x^{2}-32=0$ to find $x$ algebraically and graphically.

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

Solve the initial value problem $y' = 9ty^2$ , $y(0) = y_0$ , and find how the solution interval depends on $y_0$ .

Find the derivative $f^{\prime}(x)$ of $f(x)=\frac{12}{x}$ and evaluate $f^{\prime}(-2), f^{\prime}(0), f^{\prime}(5)$ .

Calculate $n$ using the formula $n = A \cdot B \times A C$ and the determinant $\left| \begin{array}{ccc} 3 & 1 & 1 \\ 2 & -1 & -3 \end{array} \right|$ .

Find the derivative $f^{\prime}(x)$ for $f(x)=\frac{48}{x}$ and calculate $f^{\prime}(-4)$ , $f^{\prime}(0)$ , $f^{\prime}(3)$ .

Solve $2.25 - 11j - 7.75 + 1.5j = 0.5j - 1$ . Find the value of $j$ . Options: $-0.45$ , $-0.25$ , $0.25$ , $0.45$ .

Find the grams of NaOH required for a $0.1 \, \text{M}$ solution in a $50 \, \text{ml}$ flask with deionized water.

Find the derivative $g^{\prime}(x)$ for $g(x)=\sqrt{7 x}$ , then calculate $g^{\prime}(-3), g^{\prime}(0), g^{\prime}(4)$ .

Solve the initial value problem $y^{\prime}+7 y=g(t)$ with $y(0)=0$ , where $g(t)=1$ for $0 \leq t \leq 1$ and $g(t)=0$ for $t>1$ .

Solve the equation $2.25 - 11j - 7.75 + 1.5j = 0.5j - 1$ . Find the value of $j$ .

Find the derivative $g^{\prime}(x)$ of $g(x)=\sqrt{15 x}$ , then compute $g^{\prime}(-3)$ , $g^{\prime}(0)$ , and $g^{\prime}(3)$ .

Calculate Michael Phelps' resultant velocity swimming North at $14 \mathrm{~m/s}$ against a $5 \mathrm{~m/s}$ South current.

Find the resultant velocity when crossing a river with a current of $15 \mathrm{~m/s}$ downstream and crossing at $2 \mathrm{~m/s}$ north.

Find the value of $\frac{4 x-y}{2 y+x}$ for $x=3$ and $y=3$ .

Find the derivative $f^{\prime}(x)$ of $f(x)=4x^{3}+10$ using the limit definition, then calculate $f^{\prime}(-1)$ , $f^{\prime}(0)$ , and $f^{\prime}(4)$ .

Find the value of $2x + 11y$ for $x = 4$ and $y = 2$ . Choices: 30, 38, 48, 136.

Prepare a 100 ppm NaCl solution from a 1000 ppm stock using $M1V1 = M2V2$ . Find the volume of stock needed.

Alice has $\frac{3}{4}$ of a chocolate bar. How much does each of the 4 people get when shared equally?

Solve for $b$ in the equation $(2b + 88) + (-6b + 74) = 170$ .

Find the value of $x$ in the equation $x - 3x = 2(4 + x)$ .

Solve for $x$ : $x^{\frac{1}{3}}=2$ .

Calculate midpoints for class intervals using the formula $\frac{{\text{{lower limit}} + \text{{upper limit}}}}{2}$ .

Find the secant line for $y=f(x)=x^{2}+x$ at $x=3$ and $x=7$ , and the tangent line at $x=3$ .

Find the maximum height of a projectile launched at $30^{\circ}$ with an initial speed of $50 \mathrm{~m/s}$ . Use $h(t)=v_{0} \sin (\theta) t-\frac{1}{2} g t^{2}$ , where $g=9.81 \mathrm{~m/s}^{2}$ .

Find the secant line between $x=3$ and $x=7$ for $y=f(x)=x^{2}+x$ , and the tangent line at $x=3$ .

Solve for real solutions of $2 x^{4}-23 x^{3}+89 x^{2}-129 x+45=0$ . A: $\mathrm{x}=$ (exact answers); B: No real solutions.

Convert $617 \times 10^{3}$ to standard notation.

Solve for $x$ in the equation: $8 - 2x = -8x + 14$ . Options: $x = -1$ , $x = -\frac{3}{5}$ , $x = \frac{3}{5}$ , $x = 1$ .

Solve the inequality: $9x - 9 \geq -4x^2$ . Provide the solution in interval notation.

Find the complex zeros of the polynomial $f(x)=x^{3}-15 x^{2}+79 x-145$ .

Evaluate $4 + 2 \times [(29 - 15) \div 2]$ . Find values inside parentheses, brackets, and the entire expression.

Solve the equation $d-10-2d+7=8+d-10-3d$ . What is $d$ ? Options: $-5$ , $-1$ , $1$ , $5$ .

Solve the inequality: $\frac{x+1}{x-4}>0$ . Provide your answer in interval notation.

Find the product of the functions $f(x)=3 x^{2}+5 x$ and $g(x)=7 x+3$ . What is $f(x) g(x)$ ?

Find $f(3) g(3)$ for $f(x)=2 x^{2}+4 x+5$ and $g(x)=x^{2}+x+1$ .

If $y$ varies directly with $x$ and $y$ is 72 when $x$ is 9, find $y$ when $x$ is 17. $y=[?]$

Solve the equation $2.8y + 6 + 0.2y = 5y - 14$ . Find the value of $y$ . Options: $-10$ , $-1$ , $1$ , $10$ .

Solve for $y$ in the equation: $y + 6 = -3y + 26$ . Options: $-8$ , $-5$ , $5$ , $8$ .

Solve the equation: $\frac{2}{3} x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6} x$ . What is $x$ ?

What is the maximum mass of $H_{2}O$ produced from $8.0 \mathrm{~g}$ of $N_{2}H_{4}$ and $92 \mathrm{~g}$ of $N_{2}O_{4}$ ?

Find the product $f(x) g(x)$ for $f(x)=3 x^{2}+4 x+5$ and $g(x)=x^{2}+x+1$ .

Find all real zeros of the polynomial $f(x)=2 x^{4}+x^{3}-7 x^{2}-3 x+3$ and factor it over the reals.

Find the value of the piecewise function $f(x)$ at $x = -4$ .

Calculate $-94 \div 47$ .

Convert the mixed number $1 \frac{5}{12}$ to its decimal form.

Calculate: 10. $52 \cdot(-6)$ and 13. $-94 \div 47$ .

Calculate the value of $-3 \cdot(-8) \div(-6)$ .

Calculate the product of 52 and -6: $52 \cdot (-6)$ .

Solve for $p$ : $2.6(5.5 p-12.4)=127.92$ . Use the distributive, addition, and division properties.

Convert the mixed number to a decimal: $5 \frac{3}{20}=$

Calculate the value of $5 \frac{3}{20}$ .

Find the probability of exactly 5 Mexican-Americans among 12 jurors: $P(x=5)=$ . Also, find $P(x \leq 5)=$ . Round to four decimal places.

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\sin \theta = \frac{\sqrt{3}}{2}$ .

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ such that $\cos \theta=\frac{\sqrt{2}}{2}$ .

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

Find all $\theta$ in $[0^{\circ}, 360^{\circ})$ where $\tan \theta = -\sqrt{3}$ .

Find the following: (a) $(f \circ g)(4)$ for $f(x)=3x$ and $g(x)=6x^2+6$ (b) $(g \circ f)(2)$ (c) $(f \circ f)(1)$ (d) $(g \circ g)(0)$

1. Find $\sin 83^{\circ}$ .
2. Find $\cos^{-1} 0.47$ .
3. Find $\tan 16^{\circ}$ .
4. Find $\cot 21^{\circ}$ .
5. Find $\sin^{-1} 0.40$ .

Find composite functions for $f(x)=9x+7$ and $g(x)=x^{2}$ : (a) $f \circ g$ , (b) $g \circ f$ , (c) $f \circ f$ , (d) $g \circ g$ . State their domains.

Find the solutions for the system: $2y=4x+12$ and $y=2x-6$ .

Solve the equations: 4x - 3y = 8 and 2x + y = 11. Find the value of $y$ . Choices: $-\frac{8}{3}$ , $-6$ , $14$ , $\frac{14}{5}$ .