Function

Problem 5301

In a forest, the raccoon population starts at 8 and triples each generation. Find the formula for generation $n$ .

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Problem 5302

Is Andrea correct that the interest on the CD is simple interest based on the future values after $x$ years? A. True B. False

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Problem 5303

Find the 6th term of the geometric sequence given by $a_{n}=3 \cdot 4^{(n-1)}$ .

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Problem 5304

Find the current value of a building with a replacement cost of \$560,000, 40 years life, and 30 years remaining. Options: \$420,000, \$140,000, \$392,000, \$560,000.

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Problem 5305

Find the zeros of $f(x)=x^{2}-24$ using the square root method. What are the $x$ -intercepts?

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Problem 5306

Find the zeros of the function $f(x)=x^{2}-45$ using the square root method. What are the $x$ -intercepts?

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Problem 5307

Find the real zeros of the function $f(x)=x^{2}+10x+22$ using the quadratic formula. What are the x-intercepts?

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Problem 5308

Find the real zeros of the function $f(x)=x^{2}+6x+4$ using the quadratic formula. Choose A, B, or C for answers.

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Problem 5309

Find the zeros of the function $f(x)=4x^2+10x+5$ using the quadratic formula. What are the $x$ -intercepts?

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Problem 5310

Find the real zeros of the function $f(x)=x^{2}+8x+14$ using the quadratic formula. What are the x-intercepts?

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Problem 5311

Find the real zeros of the function $f(x)=x^{2}+4x+1$ using the quadratic formula. What are the x-intercepts?

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Problem 5312

Find the real zeros of $f(x)=x^{2}+6x+4$ using the quadratic formula. What are the $x$ -intercepts?

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Problem 5313

Find the real zeros and x-intercepts of the function $f(x)=x^{2}+10x+22$ using the quadratic formula.

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Problem 5314

Find the cost function $C(x)$ for a sandwich store with fixed cost \$530 and variable cost \$0.60 per sandwich.

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Problem 5315

Maximize revenue $R(p) = -7p^2 + 21,000$ . What is the optimal price $p$ and the maximum revenue?

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Problem 5316

a. Define the weekly cost function $C(x)=530.00+0.60 x$ for sandwiches sold. b. Find the profit function $P(x)$ using $R(x)=-0.001 x^{2}+3 x$ . $P(x)=R(x)-C(x)$

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Problem 5317

Find the profit function $P(x)=-0.001 x^{2}+2.45 x-510$ and determine the $x$ for max profit. What is the max profit in \$?

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Problem 5318

Find the weekly profit function $P(x)$ for a sandwich store given cost $C(x)=555.00+0.45x$ and revenue $R(x)=-0.001x^{2}+3x$ . Simplify your answer.

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Problem 5319

A sandwich shop has a fixed cost of \ $510 and a variable cost of \$0.55 per roast beef sandwich. Find the cost function$ C(x)$.

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Problem 5320

The profit function is $P(x)=-0.001 x^{2}+2.4 x-530$ . Find $P(x)$ in simplified form and determine $x$ for max profit.

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Problem 5321

Maximize profit from selling $x$ roast beef sandwiches using $P(x)=-0.001 x^{2}+2.55 x-555$ . Find $x$ and max profit.

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Problem 5322

Let $x$ be the number of roast beef sandwiches sold weekly. Cost: $C(x)=510.000+0.55x$ . Revenue: $R(x)=-0.001x^{2}+3x$ . Find profit: $P(x)=R(x)-C(x)$ . Simplify $P(x)$ .

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Problem 5323

A sandwich shop has a weekly cost of \$515 and variable costs of \$0.55 per roast beef sandwich.
a. Write the cost function $C(x)=515.00+0.55 x$ .
b. The revenue function is $R(x)=-0.001 x^{2}+3 x$ . Write the profit function $P(x)=R(x)-C(x)$ . Simplify your answer.

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Problem 5324

Find the number of roast beef sandwiches to maximize profit from $P(x)=-0.001 x^{2}+2.45 x-515.00$ . What is the max profit?

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Problem 5325

Find the angle $C$ if $\tan C=0.1405$ .

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Problem 5326

Peter has 2000 yards of fencing. Find the rectangle dimensions that maximize the area and state the maximum area.

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Problem 5327

Farmer Ed has 650 m of fencing for a rectangular plot by a river. Find dimensions for maximum area and the area itself.

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Problem 5328

Calculate the horizontal distance a ball travels from a height of 7 feet before hitting the ground, rounding to the nearest tenth.

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Problem 5329

A ball is thrown from 7 feet high. Its height is modeled by $f(x)=-0.2 x^{2}+1.4 x+7$ . Find its max height and distance.

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Problem 5330

Calculate the correlation coefficient $r$ , find the regression line, and predict the 5K time for $\mathrm{VO}_{2} \mathrm{max} = 24.79$ .

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Problem 5331

Calculate the monthly deposit needed to reach \$85,000 in 18 years with a 6% APR.

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Problem 5332

Calculate your final course average using the weights: Tests (44%), Labs (15%), Homework (27%), Final Exam (14%) with grades 45%, 83%, 91%, and 56%. Record the average as a percentage accurate to two decimal places.

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Problem 5333

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=x^{2}+8x+5$ , where $h \neq 0$ .

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Problem 5334

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=x^{2}+3x-9$ , where $h \neq 0$ .

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Problem 5335

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=9x+4$ , where $h \neq 0$ .

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Problem 5336

Identify which functions are symmetric about the $y$ -axis: A. $y=x^{3}$ , B. $y=\sqrt{x}$ , C. $y=\frac{1}{x}$ , D. $y=|x|$ .

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Problem 5337

Graph $y=f(x)$ where $f(x)=-1$ . Find $y$ for $x=-1, 0, 1$ . What are the $y$ -coordinates?

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Problem 5338

What expression shows John's age in 8 years if $y$ is his current age? Options: $y+8$ , $y-8$ , $8y$ , $\frac{y}{8}$ .

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Problem 5339

Find (a) $f(-1)$ , (b) $f(0)$ , and (c) $f(4)$ for the piecewise function $f(x)$ defined as: $f(x)=\left\{\begin{array}{ll} x^{2} & \text { if } x<0 \\ 0 & \text { if } x=0 \\ 3 x+3 & \text { if } x>0 \end{array}\right.$

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Problem 5340

Find $f(0)$ , $f(1)$ , $f(5)$ , and $f(6)$ for the piecewise function: $f(x)=\begin{cases}3x-4 & \text{if } -3 \leq x \leq 5 \\ x^3-5 & \text{if } 5<x \leq 6\end{cases}$ .

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Problem 5341

Kathy invests 20% of her paycheck since age 20. Mark started at 35. Together they have \$1,455,000. Find their savings.

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Problem 5342

Doggo Inc. maximizes profit by producing 0 Deluxe Lamb and 125 Traditional Chicken bags daily. What does this mean?

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Problem 5343

Janet needs an IV medication at $2.0 \mu \mathrm{g} / \mathrm{kg} / \mathrm{min}$ . She weighs $115 \mathrm{lbs}$ . How many $\mathrm{mL} / \mathrm{hr}$ will you give her?

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Problem 5344

Find the relationship between $x$ and $y$ if the line through points (3,6) and (6,8) represents $Y=\log y$ vs. $X=\log x$ .

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Problem 5345

Identify which function is continuous for all $x$ in the interval $(-\infty, \infty)$ from the given options.

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Problem 5346

Find the six trigonometric functions for the angle $-\frac{5 \pi}{4}$ without using a calculator.

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Problem 5347

Find the values of the six trigonometric functions for the angle $\frac{\pi}{4}$ without using a calculator.

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Problem 5348

Find the values of the six trigonometric functions for the angle $\theta$ with point $(-6,7)$ on its terminal side.

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Problem 5349

Find the exact value of $\sin(13 \pi)$ without using a calculator.

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Problem 5350

Find the exact value of $\tan(11 \pi)$ without using a calculator.

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Problem 5351

Find the exact value of $\cos (-2 \pi)$ without using a calculator.

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Problem 5352

Find the six trigonometric functions for the angle $\frac{3 \pi}{4}$ . State "not defined" if applicable.

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Problem 5353

Find the exact value of $\cot \frac{3 \pi}{2} - \cos \frac{3 \pi}{2}$ without a calculator.

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Problem 5354

Find the exact values of the six trigonometric functions for the angle $\theta$ with the point (4, -5) on its terminal side.

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Problem 5355

Find the exact values of the six trigonometric functions of $t$ for the point $P=\left(\frac{2 \sqrt{2}}{3},-\frac{1}{3}\right)$ on the unit circle.

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Problem 5356

Calculate the value of $\cos 90^{\circ} + \cot 45^{\circ}$ without using a calculator.

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Problem 5357

Calculate the exact value of $\sin 46^{\circ} - \cos 44^{\circ}$ without a calculator.

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Problem 5358

Calculate the value of $\sin 90^{\circ} + \tan 45^{\circ}$ without a calculator.

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Problem 5359

Calculate the value of $2 \cos \frac{\pi}{3} - 6 \tan \frac{\pi}{6}$ without using a calculator.

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Problem 5360

Find the exact value of $\sin 29^{\circ} - \cos 61^{\circ}$ without a calculator.

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Problem 5361

Define the function $f$ : $f(x) = -3x + 4$ for $x < 1$ and $f(x) = 4x - 3$ for $x \geq 1$ . Find its domain, intercepts, graph, and range.

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Problem 5362

Identify the types of functions $f(x)=x^{3}+x^{2}-3 x+4$ and $g(x)=2^{x}-4$ . What do they have in common?

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Problem 5363

Define the function $f(x)$ as: $f(x)=x$ if $x<0$ and $f(x)=x^{2}$ if $x \geq 0$ . Find its domain, intercepts, graph, and range.

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Problem 5364

Find the sum function $(f+g)(x)$ for $f(x)=5x+4$ if $x<2$ and $x^2+4x$ if $x \geq 2$ , and $g(x)=-3x+1$ if $x \leq 0$ and $g(x)=x-7$ if $x > 0$ .

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Problem 5365

Identify the types of functions $f(x)=x^{3}+x^{2}-3 x+4$ and $g(x)=2^{x}-4$ . What do they have in common?

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Problem 5366

Calculate the wind chill $W$ for $t=10^{\circ}C$ and $v=1 \text{ m/s}$ using the given formula. Round to the nearest degree.

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Problem 5367

How long until two joggers meet again if one takes 21 min and the other 45 min to complete a lap? Answer in minutes.

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Problem 5368

How much should Mary Ellen invest at $5\%$ to earn \$1185 in interest in one year?

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Problem 5369

A 20-year-old deposits \ $55 monthly in an IRA at$ 4\%$ APR. What is the amount at age 65 compared to total deposits?

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Problem 5370

Find the value of $k$ for the function $f(x)=\left\{\begin{array}{ll}\frac{\sqrt{x+3}-\sqrt{3 x-1}}{x-2} & x \neq 2 \\ k & x=2\end{array}\right.$ to be continuous.

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Problem 5371

A ball is thrown from a 112 ft building with an initial velocity of 96 ft/s. Find when it hits the ground and passes the building.

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Problem 5372

Find the unit price $p$ that maximizes revenue $r(p) = -9p^2 + 27,000p$ and determine the maximum revenue.

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Problem 5373

Find the unit price $p$ that maximizes revenue given $r(p)=-9p^2+36,000p$ . What is the maximum revenue?

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Problem 5374

Minimize marginal cost for $C(x) = x^{2} - 140x + 7700$ . Find optimal $x$ and minimum cost.

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Problem 5375

Monthly revenue is $R(x)=79x-0.2x^2$ and cost is $C(x)=26x+1650$ . Find wristwatches for max revenue and profit, then explain differences.

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Problem 5376

A car dealership reduced a car's price by $6\%$ from the original price of \$49,600.
(a) New price = $\square \times$ Original price.
(b) Find the new price.

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Problem 5377

A house valued at \$263,000 increased by 15%.
(a) New value = $\prod \times$ Old value.
(b) Find the new value. New value: \$ \square

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Problem 5378

Monthly revenue from selling $x$ wristwatches is $R(x)=79x-0.2x^2$ and cost is $C(x)=26x+1650$ . Find max revenue, profit function, and max profit. Explain differences in results.

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Problem 5379

Raina invested \$7800 and it increased by 7%.
(a) Year-end amount as a decimal: Year-end amount = 1.07 × Original amount. (b) Calculate the year-end amount in Raina's account: Year-end amount: \$

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Problem 5380

Revenue from selling $x$ wristwatches is $R(x)=75x-0.2x^2$ , and cost is $C(x)=32x+1750$ . Find max revenue and profit.

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Problem 5381

Monthly revenue from selling $x$ wristwatches is $R(x)=75x-0.2x^2$ and cost is $C(x)=32x+1750$ .
(a) Find $x$ for max revenue and max revenue amount. (b) Profit function is $P(x)=R(x)-C(x)$ . (c) Find $x$ for max profit and max profit amount. (d) Explain differences in (a) and (c) and why a quadratic model works for revenue.

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Problem 5382

An athlete releases a shot at $60^{\circ}$ with height modeled by $f(x)=-0.02 x^{2}+1.7 x+5.9$ . Find max height and distance.

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Problem 5383

Monthly revenue is $R(x)=79x-0.2x^2$ and cost is $C(x)=30x+1600$ . Find wristwatches for max revenue and profit. Explain differences.

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Problem 5384

Find the shot's max horizontal distance given its max height is 42.85 ft at 35 ft from release, thrown at 65 degrees. Use $F(x)=-0.03x^2+2.1x+6.1$ .

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Problem 5385

An athlete releases a shot modeled by $f(x)=-0.02 x^{2}+1.4 x+5.3$ . Find its maximum height and distance from release.

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Problem 5386

Monthly revenue from selling $x$ wristwatches is $R(x)=75x-0.2x^2$ , and cost is $C(x)=30x+1600$ . Find:
(a) Wristwatches for max revenue and max revenue $\$$ . (b) Profit function $P(x)=R(x)-C(x)$ . (c) Wristwatches for max profit and max profit $\$$ . (d) Explain why max revenue and profit quantities differ and why a quadratic model is suitable for revenue.

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Problem 5387

Jason drove 435.75 miles over three months. If June was 127.35 and July was 167.98, find August's mileage: $?$

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Problem 5388

A shot put's height is given by $F(x)=-0.02x^2+1.2x+5.3$ .
a. Confirm if the max height is 23.3 feet.
b. Find the max horizontal distance of the throw.

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Problem 5389

An athlete releases a shot at $50^{\circ}$ with height modeled by $f(x)=-0.02 x^{2}+1.2 x+5.3$ . Find max height and distance.

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Problem 5390

An athlete releases a shot at 50 degrees, modeled by $f(x)=-0.2x^2+1.2x+5.3$ . Find max height and distance.

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Problem 5391

An athlete releases a shot modeled by $f(x)=-0.04 x^{2}+2.1 x+5.2$ . Find the maximum height and distance from release.

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Problem 5392

An athlete releases a shot at $65^{\circ}$ with height modeled by $f(x)=-0.04 x^{2}+2.1 x+5.2$ . Find the max height and distance from release.

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Problem 5393

Find the maximum height of the shot modeled by $f(x)=-0.01 x^{2}+0.6 x+5.8$ and its distance from the release point.

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Problem 5394

An athlete releases a shot modeled by $f(x)=-0.01 x^{2}+0.6 x$ . Find the max height and distance from release point.

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Problem 5395

An athlete releases a shot at $55^{\circ}$ with height modeled by $f(x)=-0.02 x^{2}+1.4 x+6.1$ . Find max height and distance.

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Problem 5396

An athlete releases a shot put at $70^{\circ}$ with height modeled by $f(x)=-0.06 x^{2}+2.7 x+6.4$ . Find the max height and distance.

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Problem 5397

An athlete releases a shot at $55^{\circ}$ , modeled by $f(x)=-0.02 x^{2}+1.4 x+6.1$ . Find max height and distance.

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Problem 5398

An athlete releases a shot modeled by $f(x)=-0.03 x^{2}+2.1 x+5.3$ . Find the maximum height and distance from release.

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Problem 5399

An athlete releases a shot put at $65^{\circ}$ . The height is modeled by $f(x)=-0.03 x^{2}+21 x+5.3$ . Find the max height and distance.

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Problem 5400

Use the distributive property to simplify $8-3(2+4 k)$ . Identify the correct student and explain mistakes in others' work.

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1 ...51 52 53 54 55 56 57 ...103

Function

Problem 5301

In a forest, the raccoon population starts at 8 and triples each generation. Find the formula for generation nnn.

Problem 5302

Is Andrea correct that the interest on the CD is simple interest based on the future values after xxx years? A. True B. False

Problem 5303

Find the 6th term of the geometric sequence given by an=3⋅4(n−1)a_{n}=3 \cdot 4^{(n-1)}an​=3⋅4(n−1).

Problem 5304

Find the current value of a building with a replacement cost of \$560,000, 40 years life, and 30 years remaining. Options: \$420,000, \$140,000, \$392,000, \$560,000.

Problem 5305

Find the zeros of f(x)=x2−24f(x)=x^{2}-24f(x)=x2−24 using the square root method. What are the xxx-intercepts?

Problem 5306

Find the zeros of the function f(x)=x2−45f(x)=x^{2}-45f(x)=x2−45 using the square root method. What are the xxx-intercepts?

Problem 5307

Find the real zeros of the function f(x)=x2+10x+22f(x)=x^{2}+10x+22f(x)=x2+10x+22 using the quadratic formula. What are the x-intercepts?

Problem 5308

Find the real zeros of the function f(x)=x2+6x+4f(x)=x^{2}+6x+4f(x)=x2+6x+4 using the quadratic formula. Choose A, B, or C for answers.

Problem 5309

Find the zeros of the function f(x)=4x2+10x+5f(x)=4x^2+10x+5f(x)=4x2+10x+5 using the quadratic formula. What are the xxx-intercepts?

Problem 5310

Find the real zeros of the function f(x)=x2+8x+14f(x)=x^{2}+8x+14f(x)=x2+8x+14 using the quadratic formula. What are the x-intercepts?

Problem 5311

Find the real zeros of the function f(x)=x2+4x+1f(x)=x^{2}+4x+1f(x)=x2+4x+1 using the quadratic formula. What are the x-intercepts?

Problem 5312

Find the real zeros of f(x)=x2+6x+4f(x)=x^{2}+6x+4f(x)=x2+6x+4 using the quadratic formula. What are the xxx-intercepts?

Problem 5313

Find the real zeros and x-intercepts of the function f(x)=x2+10x+22f(x)=x^{2}+10x+22f(x)=x2+10x+22 using the quadratic formula.

Problem 5314

Find the cost function C(x)C(x)C(x) for a sandwich store with fixed cost \$530 and variable cost \$0.60 per sandwich.

Problem 5315

Maximize revenue R(p)=−7p2+21,000R(p) = -7p^2 + 21,000R(p)=−7p2+21,000. What is the optimal price ppp and the maximum revenue?

Problem 5316

a. Define the weekly cost function C(x)=530.00+0.60xC(x)=530.00+0.60 xC(x)=530.00+0.60x for sandwiches sold. b. Find the profit function P(x)P(x)P(x) using R(x)=−0.001x2+3xR(x)=-0.001 x^{2}+3 xR(x)=−0.001x2+3x. P(x)=R(x)−C(x)P(x)=R(x)-C(x)P(x)=R(x)−C(x)

Problem 5317

Find the profit function P(x)=−0.001x2+2.45x−510P(x)=-0.001 x^{2}+2.45 x-510P(x)=−0.001x2+2.45x−510 and determine the xxx for max profit. What is the max profit in \$?

Problem 5318

Find the weekly profit function P(x)P(x)P(x) for a sandwich store given cost C(x)=555.00+0.45xC(x)=555.00+0.45xC(x)=555.00+0.45x and revenue R(x)=−0.001x2+3xR(x)=-0.001x^{2}+3xR(x)=−0.001x2+3x. Simplify your answer.

Problem 5319

A sandwich shop has a fixed cost of \510andavariablecostof$0.55perroastbeefsandwich.Findthecostfunction510 and a variable cost of \$0.55 per roast beef sandwich. Find the cost function 510andavariablecostof$0.55perroastbeefsandwich.FindthecostfunctionC(x)$.

Problem 5320

The profit function is P(x)=−0.001x2+2.4x−530P(x)=-0.001 x^{2}+2.4 x-530P(x)=−0.001x2+2.4x−530. Find P(x)P(x)P(x) in simplified form and determine xxx for max profit.

Problem 5321

Maximize profit from selling xxx roast beef sandwiches using P(x)=−0.001x2+2.55x−555P(x)=-0.001 x^{2}+2.55 x-555P(x)=−0.001x2+2.55x−555. Find xxx and max profit.

Problem 5322

Let xxx be the number of roast beef sandwiches sold weekly. Cost: C(x)=510.000+0.55xC(x)=510.000+0.55xC(x)=510.000+0.55x. Revenue: R(x)=−0.001x2+3xR(x)=-0.001x^{2}+3xR(x)=−0.001x2+3x. Find profit: P(x)=R(x)−C(x)P(x)=R(x)-C(x)P(x)=R(x)−C(x). Simplify P(x)P(x)P(x).

Problem 5323

Problem 5324

Find the number of roast beef sandwiches to maximize profit from P(x)=−0.001x2+2.45x−515.00P(x)=-0.001 x^{2}+2.45 x-515.00P(x)=−0.001x2+2.45x−515.00. What is the max profit?

Problem 5325

Find the angle CCC if tan⁡C=0.1405\tan C=0.1405tanC=0.1405.

Problem 5326

Peter has 2000 yards of fencing. Find the rectangle dimensions that maximize the area and state the maximum area.

Problem 5327

Farmer Ed has 650 m of fencing for a rectangular plot by a river. Find dimensions for maximum area and the area itself.

Problem 5328

Calculate the horizontal distance a ball travels from a height of 7 feet before hitting the ground, rounding to the nearest tenth.

Problem 5329

A ball is thrown from 7 feet high. Its height is modeled by f(x)=−0.2x2+1.4x+7f(x)=-0.2 x^{2}+1.4 x+7f(x)=−0.2x2+1.4x+7. Find its max height and distance.

Problem 5330

Calculate the correlation coefficient rrr, find the regression line, and predict the 5K time for VO2max=24.79\mathrm{VO}_{2} \mathrm{max} = 24.79VO2​max=24.79.

Problem 5331

Calculate the monthly deposit needed to reach \$85,000 in 18 years with a 6% APR.

Problem 5332

Calculate your final course average using the weights: Tests (44%), Labs (15%), Homework (27%), Final Exam (14%) with grades 45%, 83%, 91%, and 56%. Record the average as a percentage accurate to two decimal places.

Problem 5333

Simplify the difference quotient f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​ for f(x)=x2+8x+5f(x)=x^{2}+8x+5f(x)=x2+8x+5, where h≠0h \neq 0h=0.

Problem 5334

Simplify the difference quotient f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​ for f(x)=x2+3x−9f(x)=x^{2}+3x-9f(x)=x2+3x−9, where h≠0h \neq 0h=0.

Problem 5335

Simplify the difference quotient f(x+h)−f(x)h\frac{f(x+h)-f(x)}{h}hf(x+h)−f(x)​ for f(x)=9x+4f(x)=9x+4f(x)=9x+4, where h≠0h \neq 0h=0.

Problem 5336

Identify which functions are symmetric about the yyy-axis: A. y=x3y=x^{3}y=x3, B. y=xy=\sqrt{x}y=x​, C. y=1xy=\frac{1}{x}y=x1​, D. y=∣x∣y=|x|y=∣x∣.

Problem 5337

Graph y=f(x)y=f(x)y=f(x) where f(x)=−1f(x)=-1f(x)=−1. Find yyy for x=−1,0,1x=-1, 0, 1x=−1,0,1. What are the yyy-coordinates?

Problem 5338

What expression shows John's age in 8 years if yyy is his current age? Options: y+8y+8y+8, y−8y-8y−8, 8y8y8y, y8\frac{y}{8}8y​.

Problem 5339

Problem 5340

Find f(0)f(0)f(0), f(1)f(1)f(1), f(5)f(5)f(5), and f(6)f(6)f(6) for the piecewise function: f(x)={3x−4if −3≤x≤5x3−5if 5<x≤6f(x)=\begin{cases}3x-4 & \text{if } -3 \leq x \leq 5 \\ x^3-5 & \text{if } 5<x \leq 6\end{cases}f(x)={3x−4x3−5​if −3≤x≤5if 5<x≤6​.

Problem 5341

In a forest, the raccoon population starts at 8 and triples each generation. Find the formula for generation $n$ .

Is Andrea correct that the interest on the CD is simple interest based on the future values after $x$ years? A. True B. False

Find the 6th term of the geometric sequence given by $a_{n}=3 \cdot 4^{(n-1)}$ .

Find the zeros of $f(x)=x^{2}-24$ using the square root method. What are the $x$ -intercepts?

Find the zeros of the function $f(x)=x^{2}-45$ using the square root method. What are the $x$ -intercepts?

Find the real zeros of the function $f(x)=x^{2}+10x+22$ using the quadratic formula. What are the x-intercepts?

Find the real zeros of the function $f(x)=x^{2}+6x+4$ using the quadratic formula. Choose A, B, or C for answers.

Find the zeros of the function $f(x)=4x^2+10x+5$ using the quadratic formula. What are the $x$ -intercepts?

Find the real zeros of the function $f(x)=x^{2}+8x+14$ using the quadratic formula. What are the x-intercepts?

Find the real zeros of the function $f(x)=x^{2}+4x+1$ using the quadratic formula. What are the x-intercepts?

Find the real zeros of $f(x)=x^{2}+6x+4$ using the quadratic formula. What are the $x$ -intercepts?

Find the real zeros and x-intercepts of the function $f(x)=x^{2}+10x+22$ using the quadratic formula.

Find the cost function $C(x)$ for a sandwich store with fixed cost \$530 and variable cost \$0.60 per sandwich.

Maximize revenue $R(p) = -7p^2 + 21,000$ . What is the optimal price $p$ and the maximum revenue?

a. Define the weekly cost function $C(x)=530.00+0.60 x$ for sandwiches sold. b. Find the profit function $P(x)$ using $R(x)=-0.001 x^{2}+3 x$ . $P(x)=R(x)-C(x)$

Find the profit function $P(x)=-0.001 x^{2}+2.45 x-510$ and determine the $x$ for max profit. What is the max profit in \$?

Find the weekly profit function $P(x)$ for a sandwich store given cost $C(x)=555.00+0.45x$ and revenue $R(x)=-0.001x^{2}+3x$ . Simplify your answer.

A sandwich shop has a fixed cost of \ $510 and a variable cost of \$0.55 per roast beef sandwich. Find the cost function$ C(x)$.

The profit function is $P(x)=-0.001 x^{2}+2.4 x-530$ . Find $P(x)$ in simplified form and determine $x$ for max profit.

Maximize profit from selling $x$ roast beef sandwiches using $P(x)=-0.001 x^{2}+2.55 x-555$ . Find $x$ and max profit.

Let $x$ be the number of roast beef sandwiches sold weekly. Cost: $C(x)=510.000+0.55x$ . Revenue: $R(x)=-0.001x^{2}+3x$ . Find profit: $P(x)=R(x)-C(x)$ . Simplify $P(x)$ .

Find the number of roast beef sandwiches to maximize profit from $P(x)=-0.001 x^{2}+2.45 x-515.00$ . What is the max profit?

Find the angle $C$ if $\tan C=0.1405$ .

A ball is thrown from 7 feet high. Its height is modeled by $f(x)=-0.2 x^{2}+1.4 x+7$ . Find its max height and distance.

Calculate the correlation coefficient $r$ , find the regression line, and predict the 5K time for $\mathrm{VO}_{2} \mathrm{max} = 24.79$ .

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=x^{2}+8x+5$ , where $h \neq 0$ .

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=x^{2}+3x-9$ , where $h \neq 0$ .

Simplify the difference quotient $\frac{f(x+h)-f(x)}{h}$ for $f(x)=9x+4$ , where $h \neq 0$ .

Identify which functions are symmetric about the $y$ -axis: A. $y=x^{3}$ , B. $y=\sqrt{x}$ , C. $y=\frac{1}{x}$ , D. $y=|x|$ .

Graph $y=f(x)$ where $f(x)=-1$ . Find $y$ for $x=-1, 0, 1$ . What are the $y$ -coordinates?

What expression shows John's age in 8 years if $y$ is his current age? Options: $y+8$ , $y-8$ , $8y$ , $\frac{y}{8}$ .

Find $f(0)$ , $f(1)$ , $f(5)$ , and $f(6)$ for the piecewise function: $f(x)=\begin{cases}3x-4 & \text{if } -3 \leq x \leq 5 \\ x^3-5 & \text{if } 5<x \leq 6\end{cases}$ .

Janet needs an IV medication at $2.0 \mu \mathrm{g} / \mathrm{kg} / \mathrm{min}$ . She weighs $115 \mathrm{lbs}$ . How many $\mathrm{mL} / \mathrm{hr}$ will you give her?

Find the relationship between $x$ and $y$ if the line through points (3,6) and (6,8) represents $Y=\log y$ vs. $X=\log x$ .

Identify which function is continuous for all $x$ in the interval $(-\infty, \infty)$ from the given options.

Find the six trigonometric functions for the angle $-\frac{5 \pi}{4}$ without using a calculator.

Find the values of the six trigonometric functions for the angle $\frac{\pi}{4}$ without using a calculator.

Find the values of the six trigonometric functions for the angle $\theta$ with point $(-6,7)$ on its terminal side.

Find the exact value of $\sin(13 \pi)$ without using a calculator.

Find the exact value of $\tan(11 \pi)$ without using a calculator.

Find the exact value of $\cos (-2 \pi)$ without using a calculator.

Find the six trigonometric functions for the angle $\frac{3 \pi}{4}$ . State "not defined" if applicable.

Find the exact value of $\cot \frac{3 \pi}{2} - \cos \frac{3 \pi}{2}$ without a calculator.

Find the exact values of the six trigonometric functions for the angle $\theta$ with the point (4, -5) on its terminal side.

Find the exact values of the six trigonometric functions of $t$ for the point $P=\left(\frac{2 \sqrt{2}}{3},-\frac{1}{3}\right)$ on the unit circle.

Calculate the value of $\cos 90^{\circ} + \cot 45^{\circ}$ without using a calculator.

Calculate the exact value of $\sin 46^{\circ} - \cos 44^{\circ}$ without a calculator.

Calculate the value of $\sin 90^{\circ} + \tan 45^{\circ}$ without a calculator.

Calculate the value of $2 \cos \frac{\pi}{3} - 6 \tan \frac{\pi}{6}$ without using a calculator.

Find the exact value of $\sin 29^{\circ} - \cos 61^{\circ}$ without a calculator.

Define the function $f$ : $f(x) = -3x + 4$ for $x < 1$ and $f(x) = 4x - 3$ for $x \geq 1$ . Find its domain, intercepts, graph, and range.

Identify the types of functions $f(x)=x^{3}+x^{2}-3 x+4$ and $g(x)=2^{x}-4$ . What do they have in common?

Define the function $f(x)$ as: $f(x)=x$ if $x<0$ and $f(x)=x^{2}$ if $x \geq 0$ . Find its domain, intercepts, graph, and range.

Find the sum function $(f+g)(x)$ for $f(x)=5x+4$ if $x<2$ and $x^2+4x$ if $x \geq 2$ , and $g(x)=-3x+1$ if $x \leq 0$ and $g(x)=x-7$ if $x > 0$ .

Identify the types of functions $f(x)=x^{3}+x^{2}-3 x+4$ and $g(x)=2^{x}-4$ . What do they have in common?

Calculate the wind chill $W$ for $t=10^{\circ}C$ and $v=1 \text{ m/s}$ using the given formula. Round to the nearest degree.

How much should Mary Ellen invest at $5\%$ to earn \$1185 in interest in one year?

A 20-year-old deposits \ $55 monthly in an IRA at$ 4\%$ APR. What is the amount at age 65 compared to total deposits?

Find the value of $k$ for the function $f(x)=\left\{\begin{array}{ll}\frac{\sqrt{x+3}-\sqrt{3 x-1}}{x-2} & x \neq 2 \\ k & x=2\end{array}\right.$ to be continuous.

Find the unit price $p$ that maximizes revenue $r(p) = -9p^2 + 27,000p$ and determine the maximum revenue.

Find the unit price $p$ that maximizes revenue given $r(p)=-9p^2+36,000p$ . What is the maximum revenue?

Minimize marginal cost for $C(x) = x^{2} - 140x + 7700$ . Find optimal $x$ and minimum cost.