Model

Problem 301

What substitution should be used to rewrite $16\left(x^{3}+1\right)^{2}-22\left(x^{3}+1\right)-3=0$ as a quadratic equation? $u=\left(x^{3}\right)$ $u=\left(x^{3}+1\right)$ $u=\left(x^{3}+1\right)^{2}$ $u=\left(x^{3}+1\right)^{3}$

See Solution

Problem 302

Q2. The function $f(x)=x^{2}$ is shrinked (compressed) horizontally by A factor of 2 , then horizontally shifted 1 unit to the left then reflected About the $y$ -axis. The equation of the resulting function is?

See Solution

Problem 303

$\checkmark 1$ $\checkmark 2$ $\checkmark 3$ $\checkmark 4$ $\checkmark 5$ $\checkmark 6$ $\checkmark 7$ 18 10 11 Español 13
Are you smarter than a second grader? A random sample of 57 second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is $\bar{x}=46$ . Assume the standard deviation of test scores is $\sigma=15$ . The nationwide average score on this test is 50 . The school superintendent wants to know whether the second graders in her school district have weaker math skills than the nationwide average. Use the $\alpha=0.05$ level of significance and the $P$ -value method with the TI-84 Plus calculator.
Part: $0 / 5$
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. $\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}$
This hypothesis test is a (Choose one) $\square$ test. $\square$

See Solution

Problem 304

Identify the conic. Find the standard form of the equation by completing the square. Graph. $x^{2}+y^{2}+8 x-10 y-8=0$

See Solution

Problem 305

How long will it take you to double your savings with a $6 \%$ annual compound interest rate? Round up to nearest whole year.
Hint: Use Rule of 72 Enter number of years only $\square$ A

See Solution

Problem 306

Write the equation in exponential form. Assume that all constants are positive and not equal to 1. $\log _{a}(t)=n$

See Solution

Problem 307

7. An antique lamp was worth $\$ 500$ in 1992. Each year its value increased by $8 \%$ . a) Write an equation that models the value of the lamp as a function of time (years since 1992). b) Determine the value of the lamp in 2010. c) During which year will the dressers value increase to $\$ 1500$ ?

See Solution

Problem 308

61. Design a Julee Can Flannery Cannery packs peaches in 0.5-L cylindrical cans. (a) Express the surface area $S$ of the can as a function of the radius $x$ (in cm ). (b) Find the dimensions of the can if the surface is less than $900 \mathrm{~cm}^{2}$ . (c) Find the least possible surface area of the can.

See Solution

Problem 309

Assignment 3.2 and 4.1 (Question 8) Print
Name: Jude Elsayed Date: 2024-11-13 Official Time: 10:07:47 Question 8 [3 points] Find the vector equation for the line passing through the points $P_{1}(10,-2,2)$ and $P_{2}(3,-4,3)$ . $\left[\begin{array}{l} x \\ y \\ z \end{array}\right]=\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right]+t\left[\begin{array}{l} 0 \\ 0 \\ 0 \end{array}\right]$ SUBMIT AND MARK

See Solution

Problem 310

3. Schmetterlinge
Die Entwicklung einer Schmetterlingsart: Aus den gelegten Eiern entwickeln sich zunächst Raupen, die nach Verpuppung zu Schmetterlingen werden, die wiederum Eier legen. Innerhalb eines Monats entwickeln sich $10 \%$ der Eier zu Raupen, welche sich wiederum im Folgemonat $\mathrm{zu} 25 \% \mathrm{zu}$ Schmetterlingen entwickeln (die anderen Anteile sterben oder werden gefressen). Ein Schmetterling legt ca. 60 Eier. a) Stellen Sie Übergangsgraphen und Übergangsmatrix dar. b) Zu Beginn sind 160 Eier, 80 Raupen und 10 Schmetterlinge vorhanden. Untersuchen Sie die Entwicklung der Population für die nächsten 4 Monate. c) Untersuchen Sie, ob bei einer anderen Anzahl von Eiern, die ein Schmetterling ablegt, ein stabiler Zyklus entstehen kann, der sich regelmäBig wiederholt. Verwenden Sie das Matrixmodell aus Übung 2b.

See Solution

Problem 311

Convert to an exponential equation. $\log _{p} V=-y$

See Solution

Problem 312

(1 point) a. Set up an integral for finding the Laplace transform of the following function: $f(t)=\left\{\begin{array}{ll} 0, & 0 \leq t<6 \\ t-3, & 6 \leq t . \end{array}\right.$ $F(s)=\mathcal{L}\{f(t)\}=\int_{A}^{B} \square$ help (formulas) where $A=$ $\square$ and $B=$ $\square$ b. Find the antiderivative (with constant term 0 ) corresponding to the previous part. $\square$ c. Evaluate appropriate limits to compute the Laplace transform of $f(t)$ : $F(s)=\mathcal{L}\{f(t)\}=$ $\square$ d. Where does the Laplace transform you found exist? In other words, what is the domain of $F(s)$ ? $\square$ help (inequalities)

See Solution

Problem 313

Question 10 (Suggested maximum time: 5 minutes) (a) Write three integers into the following boxes so that the three numbers have: - a mode of 2 - a mean of 5
Answer: $\square$ $\square$ , and $\square$ $\square$ (b) Write five integers into the following boxes so that the five numbers have: - a mode of 4 - a median of 4 - a mean of 5 - a range of 12
Answer: $\square$ $\square$ $\square$ $\square$ , and $\square$

See Solution

Problem 314

Write the log equation as an exponential equation. You do not need to solve for x. $\log (3)=3 x-1$

See Solution

Problem 315

Question
Write the log equation as an exponential equation. You do not need to solve for x . $\ln (x)=2$

See Solution

Problem 316

A bag contains 13 yellow tokens and 7 green tokens. Two tokens are drawn from the bag without replacement. $\qquad$ Probabtity win change on second dran Draw a tree diagram to represent this experiment.

See Solution

Problem 317

3. A department store sells a pair of shoes for $\$ 73$ and an assortment of bags for $\$ 44$ each. In one day, the store sells $n$ pairs of shoes and $(n-7)$ bags. Which expressions represent the day's total sales for shoes and bags at the store? (A) $73 n+44 n+308$ (B) $44(n-7)+73 n$ (C) $44 n+73(n-7)$ (D) $73 n+44(n-7)$ (E) $n(73+44)-7$ (F) $117 n-308$ (G) $117 n-7$

See Solution

Problem 318

Graph the set and express the set in interval notation. $\{y \mid y<-5\}$
Part: $0 / 2$
Part 1 of 2
The graph of the set is

See Solution

Problem 319

Graph the function. $f(x)=(x-1)^{2}(x+1)^{2}$

See Solution

Problem 320

An open-top box is to be made from a 12 -inch by 42 -inch piece of plastic by removing a square from each corner of the plastic and folding up the flaps on each side. What should be the length of the side $x$ of the square cut out of each corner to get a box with the maximum volume? You may enter an exact answer or round to the nearest hundredth.

See Solution

Problem 321

Graph the function. $f(x)=\frac{1}{12}(x-5)(x-3)(x-1)$

See Solution

Problem 322

Question 9, *5.6.7 Points: 0 of 1
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. $(-9,-3) ; y=-4 x+5$
Write an equation for the line in slope-intercept form. $\square$ (Simplify your answer. Use integers or fractions for any numbers in the equation.)

See Solution

Problem 323

What is the equation in slope-intercept form of the line that passes through the point $(6,3)$ and is parallel to the graph of $\begin{array}{l} y=-\frac{2}{3} x+12 ? \\ y=-\frac{2}{3} x+\square \end{array}$

See Solution

Problem 324

21 +2 23 +0.5 = 23.5 Add on 2 to get to the whole number cl - Add on 0.5 to get to 23.5. = 2 ones + 5 tenths + 2 hundredths = 2.52 distance around a baseball is 2.52 centimeters greater than the distance around nis ball. mplete the bar model for n te a related addition equation. = 11.75 -9.30. 11.75 - 9.30 that n

See Solution

Problem 325

The Problem Describe a real life scenario that would involve permutations that have at least one restriction, and create a question related to the situation. Provide a full solution to your question.
Marks may be awarded as outlined below. If your teacher plans to use a different strategy to evaluate your work they will inform you before you start the assignment.
Unless you are instructed differently this assignment is worth 4 marks. Use the following information to guide your work:
1 mark for a question involving permutations 1 mark for the question having at least one restriction 2 marks for a complete solution to the question

See Solution

Problem 326

In $1-3$ , write the logarithmic equation in exponential equation form.
1. $\log _{3} 81=4$
2. $\log _{64} 4=\frac{1}{3}$
3. $\log 10000=4$

See Solution

Problem 327

5.08 PRACTICE: Growth and Decay Date $\qquad$ E4period $\qquad$ PRACTICEA.
1. Jose must decide between two student loans and is deciding which to use. The subsidized loan has an interest rate of $7.5 \%$ compounded monthly but interest only starts after 4 years of college. The unsubsidized loan has an interest rate of $5 \%$ cqmpounded monthly and interest starts right away. He will not be able to make any payments until 10 years after taking out elther loan. a. Write an equation to model subsidized loan. b. Write an equation to model unsubsidized loan. c. Find the total amount Jose can borrow if he does not want to owe more than $\$ 50,000$ , d. Find the total amount Jose can borrow if he does not want to owe more than $\$ 50,000$ .. e. Which loan would you recommend to Jose? Explain why you would make this choice.
2. You're getting ready for a road trip to Las Vegas and want to take some coffee with you on the drive. You can either use your old travel mug or you can buy a new YETI travel mug. The old travel mug will keep coffee warm for at least One reviewer tested a YETI travel mug coffee 6 hours. In previous uses, the coffee started at $150^{\circ}$ brewed at $178^{\circ}$ and it was $124^{\circ}$ after 5 hours. and was $115^{\circ}$ at the end. a. Write an equation to model old travel mug. b. Write an equation to model the YETI travel mug. c. Find the rate of cooling per hour. d. Find the rate of cooling per hour.
Which option will ensure you still have warm coffee when you arrive in Las Vegas? Explain why you would make this choice.

See Solution

Problem 328

Translate the phrase into an algebraic expression. The product of $x$ and 9

See Solution

Problem 329

Translate the phrase into an algebraic expression. The difference of $c$ and 6

See Solution

Problem 330

A holding pen is being built alongside a long building. The pen requires only three fenced sides, with the building forming the fourth side. There is enough material for 90 m of fencing. a) Predict what dimensions will give the maximum area of the pen. b) Write a function to model the area. c) Determine the maximum possible area.

See Solution

Problem 331

Question Show Examples
What is the equation of the line that passes through the point $(-3,-6)$ and has a slope of $-\frac{2}{3}$ ?
Answer Attempt 1 out of 2

See Solution

Problem 332

Question Show Examples
What is the equation of the line that passes through the point $(-3,-6)$ and has a slope of $-\frac{2}{3}$ ?
Answer Attempt 2 out of 2

See Solution

Problem 333

Question Watch Video Show Examples
What is an equation of the line that passes through the point $(5,-3)$ and is parallel to the line $4 x+5 y=15$ ?

See Solution

Problem 334

a) Write $z=(2-5 j)^{4}$ in the form $z=r e^{\theta j}$ where $r=$ $\square$ $x$ and $\theta=$ $\square$ radians

See Solution

Problem 335

$\text{Given the functions:}$ $f(x) = x^2 - 2x + 2$ $g(x) = ax + 2$ $\text{and the area } A = 36,$ $\text{find the value of } a \text{ such that } a > 0.$

See Solution

Problem 336

A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Volume of Water in Pool
Segment Undo Redo Reset

See Solution

Problem 337

302 Electron Config
11. Write the order of sublevels in electron configuration ( $1 \mathrm{~s} \rightarrow \ldots$ up to at least 3 d ) and state how many electrons can fit in each of the $s, p$ and $d$ sublevels)

See Solution

Problem 338

B. 1 Write variable expressions D7K
Write an expression for the sequence of operations described below divide the product of $a$ and 8 by 3 Do not simplify any part of the expression.

See Solution

Problem 339

This is the graph of a linear inequality. Write the inequality in slope-

See Solution

Problem 340

The pulse rates of 176 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm . Find the minimum sample size required to estimate the mean pulse rate of adult males. Assume that we want $95 \%$ confidence that the sample mean is within 4 bpm of the population mean. Complete parts (a) through (c) below. a. Find the sample size using the range rule of thumb to estimate $\sigma$ . $n=$ $\square$ (Round up to the nearest whole number as needed.)

See Solution

Problem 341

A data set includes 103 body temperatures of healthy adult humans having a mean of $98.3^{\circ} \mathrm{F}$ and a standard deviation of $0.73^{\circ} \mathrm{F}$ . Construct a $99 \%$ confidence interval estimate of the mean body temperature of all healthy humans. What does the sample suggest about the use of $98.6^{\circ} \mathrm{F}$ as the mean body temperature? Click here to view a t distribution table. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
What is the confidence interval estimate of the population mean $\mu$ ? $\square$ $\square$ ${ }^{\circ} \mathrm{F}<\mu<\square^{\circ} \mathrm{F}$ (Round to three decimal places as needed.)

See Solution

Problem 342

Question Write the equation of the line that passes through the points $(4,7)$ and $(5,-7)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

See Solution

Problem 343

Troy has $p$ peppermints. Riley has 4 fewer peppermints than Troy. Write an expression that shows how many peppermints Riley has. $\square$ Submit

See Solution

Problem 344

$0 \leq t \leq 4 \text {. }$
2. Find the corresponding rectangular equation of the following parametric equations: a. $x=2 t-3, y=3 t+1$ b. $x=t^{3}, y=\frac{t^{2}}{2}$ c. $x=\sec \theta, y=\cos \theta$

See Solution

Problem 345

3 Intil initheresment continued Date Form
3 Sean has 10 books. He has 6 more books than Kali has. How many books does Kali have? $\mathrm{Parta}_{A}$ Draw a picture to show the problem.
Part $B$ Write an equation to solve the problem. How many books does Kali have?
Solution $\qquad$ 4 Maria makes a picture graph to Bookshelf Items show all the things on her bookshelf. Which statements about her bookshelf are true? Choose all the correct answers. (A) Maria has 5 more dolls than lamps. (B) Maria has 2 fewer books than dolls. (C) Maria has the same number of dolls as books. (D) Maria has 12 things on her bookshelf. (E) Maria has more books than dolls. Grade 2 Unit 1 Unit Assessment-Form A 2 - Curriculum Associates, LLC copying permitted for classoom use. bowntoaded by G. Finley at UNION SPRINES E.EM SCHOOL. This resource explies on 6/30/2025.

See Solution

Problem 346

roblem 4.1 A school choir has an upcoming concert. They are figuring out what prices to set for student tickets, $s$ , and adult tickets, $a$ . - They estimate that 150 students and 50 adults will buy tickets. - They hope to make $\$ 1000$ in ticket sales. - They would like the adult ticket price to be double the student ticket price.
Write a system of equations that represents this situation. Let a=adult ticket price and $\mathrm{s}=\mathrm{student}$ ticket price \begin{tabular}{|c|c|} \hline First equation & \\ \hline Second equation & \\ \hline \end{tabular}

See Solution

Problem 347

For babysitting, Nicole charges a flat fee of $\$ 3$ , plus $\$ 5$ per hour. Write an equation for the cost, C , after $h$ hours of babysitting.

See Solution

Problem 348

Homework 4.3 - Exponential Functions Question 8 of 8 (1 point) I Question Attempt: 1 of Unlimited Juliana
The population of a country was 933,000 in 2009 with an annual growth rate of $0.07 \%$ . (a) Find a mathematical model that relates the population of a country as a function of the number of years after 2009. (b) If the annual rate of increase remains the same, use this model to predict the population of a country in the year 2050. Round to the nearest thousand.
Part 1 of 2 (a) The model is $P(t)=$ $\square$ Esp

See Solution

Problem 349

Graph the following function on the axes provided. $f(x)=\left\{\begin{array}{lll} -x-2 & \text { for } & x<-1 \\ 2 & \text { for } & x>2 \end{array}\right.$
Click and drag to make a line. Click the line to delete it. Click on an endpoint of a line to change it.
Answer Attempt 1 out of $z$

See Solution

Problem 350

Transformaciones y figuras geometricas Escribir una regla para describir una rotación
I triángulo $R S T$ se rota $270^{\circ}$ en sentido antihorario en torno al origen. 1 resultado es $\triangle R^{\prime} S^{\prime} T^{\prime}$ tal como se muestra a continuación. (a) Las flechas a continuación muestran que las coordenadas de la izquierda se asignan a las coordenadas de la derecha. Llenar los espacios vacios para dar las coordenadas tras haber realizado la rotación. coordenadas originales $\rightarrow$ coordenadas finales $\begin{array}{r} R(-8,1) \rightarrow R^{\prime}(\square, \Pi) \\ S(-6,7) \rightarrow S^{\prime}(\square, \square) \\ T(-2,-3) \rightarrow T^{\prime}(\square, \square) \end{array}$ (b) Elegir la regla general que describe la rotación de $\triangle R S T$ a $\triangle R^{\prime} S^{\prime} T^{\prime}$ . $(x, y) \rightarrow(-x,-y)$ $(x, y) \rightarrow(-x, y)$ $(x, y) \rightarrow(y,-x)$ $(x, y) \rightarrow(y, x)$ $(x, y) \rightarrow(x,-y)$ $(x, y) \rightarrow(-y, x)$ $(x, y) \rightarrow(-y,-x)$

See Solution

Problem 351

The city of Raleigh has 10,500 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 350 randomly selected registered voters was conducted. 130 said they'd vote for Brown, 199 said they'd vote for Feliz, and 21 were undecided.
Use this information from the sample to complete the following statements about the population of all registered voters in Raleigh. Round your answers to the nearest person.
Based on this sample, we could expect 3,900 $0^{8} 3900$ of the 10,500 registered voters to vote for Brown.
Based on this sample, we could expect $\square$ of the 10,500 registered voters to vote for Feliz. Based on this sample, $\square$ of the 10,500 registered voters are still undecided.
Question Help: Video Message instructor Submit Question

See Solution

Problem 352

Find the locus of $P(x, y)$ which moves such that a) Its distance from $(-4,5)$ is 5 . b) Its distance form $x$ -axis is always 5 units. c) Its distance from $y$ -axis is always -3 . d) Its distance from $(-5,-2)$ is always 6 units. e) Its distance from origin is 3 . f) Its distance from $(1,6)$ is 7

See Solution

Problem 353

3-101.
Write an equation for each situation below showing that the area as a product is equal to the area as a sum. Homework Help i $\begin{array}{l} \text { Prosuct: }(12 x+1)(x-5)=\left(2 x^{2}-59 x-5\right) \\ 12 \mathrm{x} \quad+1 \\ \text { sum } \\ 2 m^{2} \quad-4 m \quad-1 \\ \begin{array}{l|l|l|l|} \hline 6 m & 6 m & -20 m & \\ \hline & -5 & & \\ \hline \end{array} \end{array}$

See Solution

Problem 354

「豨 What compound inequality describes this graph?
Write a compotind inequality like $\mathbf{1}<\mathrm{x}<\mathbf{3}$ or like $\mathbf{x}<\mathbf{1}$ or $\mathbf{x}>\mathbf{3}$ .

See Solution

Problem 355

7. Write and solve an equation for the model shown below.
Equation: $\qquad$ Solution: $\qquad$

See Solution

Problem 356

16. A pen manufacturer gets its pen cartridges from 2 suppliers. $58 \%$ of the cartridges come from supplier A and $2.25 \%$ of them are defective. $42 \%$ of the cartridges come from supplier B and $1.75 \%$ of them are defective. Answer the following questions: (a) Draw a tree diagram representing the problem. (b) Find the probability that a cartridge is defective and from supplier A. (c) Find the probability that a randomly chosen cartridge is not defective.

See Solution

Problem 357

Use the given zeros to write the complete factored form of $f(x)$ . $f(x)=2 x^{2}-23 x+66 ;$ zeros: $\frac{11}{2}$ and 6 $f(x)=$ $\square$ (Type your answer in factored form. Use integers or fractions for any numbers

See Solution

Problem 358

Points: 0 of 1
Assume the carrying copacity of the Earth is 27 billion, Use the 1960 annual growth rate of $2.1 \%$ and population of 3 billion to predict the base growth rate and current growth rate with a logistio model, Assume a current world population of 7.8 billion. How does the prodictod growth rate compare to the actual growth rate of about $1,1 \%$ per year?
What is the base growth rate? $\square$ \% (Round to four docimal places as needed.)

See Solution

Problem 359

The graph of a polynomial $f(x)$ with leading coefficient -1 and integer zeros is shown in the figure to the right. Write its complete factored form.
The complete factored form of $f(x)=$ $\square$ .

See Solution

Problem 360

(2) Carmen has a bag of $p$ peaches. She adds 10 peaches to the bag. Then she gives all the peaches away She gives an equal number to each of 5 friends Write an expression that represents the number of peaches each friend recelves. Show your work. PHo 5 (i) $1(0) \div$ $\div 5$

See Solution

Problem 361

The number of cells in a tumor doubles every 3.5 months. If the tumor begins with a single cell, how many cells will there be after 3 years? after 4 years?
How may cells will there be after 3 years? $\square$ (Do not round until the final answer. Then round to the nearest whole number as needed.)

See Solution

Problem 362

Write the sentence as an equation. $w$ is equal to 7 divided by $m$
Type a slash ( / ) if you want to use a division sign.

See Solution

Problem 363

5
Fill in the Blank 1 point Add the correct number (coefficient) in front of each element/compound to balance the following equation: type your answer... type your answer... $\mathrm{O}_{2} \rightarrow$ $\square$ type your answer... MgO $\square$
Previous

See Solution

Problem 364

Starting from the estimated 7.8 billion world population in 2021, assume that the population maintains an annual growth rate of $1.2 \%$ . Suppose a student was born in 2001 . What will the world population be when the student is 52 years old? 83 years old? 97 years old? Use the approximate doubling time formula.
When the student is 52 years old, the world will have a population of about $\square$ billion. (Round to the nearest tenth as needed.)

See Solution

Problem 365

4 A value of 500 increases by $12 \%$ . Part A Write an equation that could be used to find the new value.

See Solution

Problem 366

Complete the table shown to the right for the population growth model for a certain country. \begin{tabular}{|c|c|c|} \hline 2006 Population(millions) & Projected 2030 Population (millions) & Projected Growth Rate, k \\ \hline 77.9 & & 0.0172 \\ \hline \end{tabular} he projected 2030 population is $\square$ million. zound to one decimal place as needed.)

See Solution

Problem 367

DESIGNING A NEW SCHOOL Your city is getting a new $10000 \mathrm{~m}^{2}$ school. It is going to be built on a lot $(200 \mathrm{~m} \times 130 \mathrm{~m})$ . Besides the school, there will also be an all-weather soccer field ( $100 \mathrm{~m} \times 75 \mathrm{~m}$ ), two tennis courts (each 15 mx 27.5 m ), and a 30 car parking lot on the grounds.
The following requirements must be met: - all fields, courts, buildings, and parking lots must be no closer than 10 m to any of the property lines. - any leftover property will be used as green space - grass, trees, shrubs. - good use of green space is an important part of making the school grounds attractive.
To help you with your design and layout you have been provided with a scaled map of the propert (every square is $10 \mathrm{~m} \times 10 \mathrm{~m}$ ). Present your final design on a copy of this map. Describe all decisions made on a separate piece paper. Label all structures and shade the green space.

See Solution

Problem 368

Abba grew 1 foot over the past year. He is now 5 feet tall. Part A Draw a tape diagram to compare Abba's previous height to the amount he grew over the past year.

See Solution

Problem 369

P.S. \#4.6b - Modelling with Trigonometric Functions 50.) To test the resistance of a new product to changes in static pressure, the product is placed in a controlled environment. The static pressure in this environment as a function of time can be described by a sinusoidal function. The maximum static pressure is 5000 pascals, the minimum is 100 pascals, and at $t=0$ , the static pressure is at 1000 pascals and increasing. In 40 hours the static pressure performs 5 cycles. a. Determine the equation of the function that describes the static pressure in the environment? b. At what times in the first day will the static pressure reach 1000 pascals?

See Solution

Problem 370

Write an equation for a rational function with:
Vertical asymptotes at $x=-2$ and $x=2$ $x$ intercepts at $x=3$ and $x=6$ $y$ intercept at 5 $y=$

See Solution

Problem 371

Write a division sentence for each.
2. $\begin{array}{r}18 \\ -\frac{6}{12}\end{array} / \begin{array}{c}12 \\ -6\end{array} / \begin{array}{c}6 \\ -6\end{array}$
3. $\begin{array}{r}10 \\ -2 \\ -2\end{array}{ }^{8}-\frac{2}{6} /{ }^{6}-2$
4. $\left.\begin{array}{c}16 \\ -\frac{4}{12}\end{array} \wedge^{12}-\frac{4}{8} / \begin{array}{c}8 \\ -4\end{array}\right)^{4}-\frac{-4}{0}$

See Solution

Problem 372

Match each metric measurement on the left with an equivalent unit of measurement on the right. 0.3 hectoliter 0.3 dekaliters 0.03 liter
3,000 centiliters 30 centiliters 3 deciliters 3000 milliliters 30 milliliters
Clear Click and hold an item in one column, then drag it to the matching item in the other column Wirch this video

See Solution

Problem 373

Graph this line: $y+7=\frac{1}{4}(x+5)$
Click to select points on the graph.

See Solution

Problem 374

Gabe planted 15 sunflower seeds, and $40 \%$ of them have sprouted. How many of the sunflower seeds have sprouted?
Pick the model that represents the oroblem. \begin{tabular}{|c|c|c|c|c|c|} \hline 0\% & 20\% & 40\% & 60\% & 80\% & 100\% \\ \hline 0 & & ? & & & 15 \\ \hline 0\% & 20\% & 40\% & 60\% & 80\% & 100\% \\ \hline 0 & & 15 & & & ? \\ \hline \end{tabular}
How many of the sunflower seeds nave sprouted? - (1) $\square$ seeds

See Solution

Problem 375

During recess, 60 kids played capture the flag. If 15 kids were on the winning team, what percent of the kids were on the winning team?
Pick the model that represents the oroblem.

See Solution

Problem 376

3) Write an equation for a rational function with vertical asymptotes at $x=-3$ and $x=6, x$ -intercepts at $(-2,0)$ and $(1,0)$ , and a horizontal asymptote at $y=-2$ . Check that your answer is reasonable using Desmos.

See Solution

Problem 377

Suppose that the amount of time it takes to build a highway varies directly with the length of the highway and inversely with the number of workers. Suppose also that it takes 150 workers 14 weeks to build 12 miles of highway. How many workers would be needed to build 15 miles of highway in 21 weeks?

See Solution

Problem 378

Score: 0/1 Penalty: 1 off Watch Video Show Examples
Question William is going to invest in an account paying an interest rate of $5.5 \%$ compounded monthly. How much would William need to invest, to the nearest hundred dollars, for the value of the account to reach $\$ 980$ in 7 years? Answer Attempt 1 out of 2 Submit Answer

See Solution

Problem 379

Carlos got 130 pieces of candy on Halloween, and 39 of them were lollipops. What percent of the pieces of candy were lollipops?
Pick the model that represents the oblem. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline $0 \%$ \\ \hline & & & & & \\ 100 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|} \hline 0\% & ? & 100 \\ \hline 0 & 39 & 130 \\ \hline \end{tabular}

See Solution

Problem 380

$80 \%$ of the 400 pieces of art at the Classical Art Museum are paintings. How many pieces of art are paintings?
Pick the model that represents the roblem. $0 \% 10 \% \quad 20 \% \quad 30 \% \quad 40 \%$ 50\% 60\% 70\% 80\% 90\% 100\% $\square$ 0 ? 400 $0 \% 10 \% \quad 20 \% \quad 30 \% \quad 40 \%$ 50\% 60\% 70\% 80\% 90\% 100\% $\square$ 0 400 ?

See Solution

Problem 381

The wheel and piston device shown above consists of a wheel of radius 1 foot that is connected at the point $\mathbf{W}$ to a pistion at $\mathbf{P}$ by a connecting rod (represented by the segment WP in the diagram) of length 7 feet. The wheel rotates counterclockwise at a rate of of 5 radians per second as the piston moves up and down along the $y$ -axis. (Click the hint îo see animation). The point $\mathbf{W}$ is at $(1,0)$ at $t=0$ seconds. a) What is the measure of angle $\theta$ after $t$ seconds? $\theta=$
5 t $\square$ radians
b) Find the coordinates of point $\mathbf{W}$ at time $t$ seconds. $\begin{array}{l} x=\cos (5 t) \\ y=\sin (5 t) \end{array}$ c) Find the $y$ -coordifate of $\mathbf{P}$ at time $t$ seconds. (The $x$ -coordinate of $\mathbf{P}$ is always zero.) $y=$ $\square$ 园
Section Attempt 1 of 4 Verify

See Solution

Problem 382

Six players on the Sluggers baseball team are pitchers. The pitchers make up 25\% of the team. How many players are on the Sluggers baseball team? )) Pick the model that represents the oblem. \begin{tabular}{|c|c|c|c|c|} \hline 0\% & 25\% & 50\% & 75\% & 100\% \\ \hline 0 & 6 & & & ? \\ \hline 0\% & 25\% & 50\% & 75\% & 100\% \\ \hline 0 & ? & & & 25 \\ \hline \end{tabular}

See Solution

Problem 383

The following table describes the contents of a bag that contains red, green, blue, pink, and white marbles. \begin{tabular}{|c|c|} \hline Color & Number of Marbles \\ \hline Red & 12 \\ \hline Green & 6 \\ \hline Blue & 10 \\ \hline Pink & 9 \\ \hline White & 30 \\ \hline \end{tabular}
If you select a single marble out of the bag, what is the probability that it is a color other than white or blue? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

See Solution

Problem 384

20/25
Yellow Cab Taxi charges a $\$ 1.75$ flat rate in addition to $\$ 0.65$ per mile. Katie has no more than $\$ 10$ to spend on the taxi ride. $1.75+0.65 m \leq 10$ $1.75+0.65 m \geq 10$ $1.75 m+0.65 \leq 10$ $1.75 m+0.65 \geq 10$ armekii Skip

See Solution

Problem 385

Score on last try: 0 of $\mathbf{1}$ pts. See Details for more. You can retry this question below
The graphs of $y=x$ and $y=2$ are shown below. Plot the graph of $y=x+2$ using these two graphs. Clear All Draw: $\square$ Question Help: Message instructor Post to forum Submit Question
Combining Three Monomial Functions Understanding the Value of a Polynomial Function as the Sum of Two Function Values

See Solution

Problem 386

Street D has a x-intercept of 5 and a $y$ -intercept of -4 . Write this street's equation in point slope form using the $x$ -intercept as $\left(x_{1}, y_{1}\right)$ .

See Solution

Problem 387

Score: 1/5 Penalty: 1 off
Question Watch Video Show Examples
The width of a rectangle measures $(5 r+8 s)$ centimeters, and its length measures $(7 r-7 s)$ centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
Answer $2+24 r$ $-14 s+24 r+8$ Submit Answer $2 s+24 r$ $1+12 r$

See Solution

Problem 388

A shoe company conducts a survey to determine the expected value of online sales for their new line of shoes coming out next fall. Based on past years, they have observed the following data on the probability of selling different types of shoes in the new line. The company expects that 3493 people will visit the website for their new line on launch day. Note that some of the online shoppers will not make a purchase. \begin{tabular}{|c|c|c|} \hline Shoe type & Price & Probability \\ \hline Sneakers & $\$ 93.99$ & $\frac{3}{25}$ \\ \hline High heels & $\$ 83.25$ & $\frac{1}{20}$ \\ \hline Sandals & $\$ 50.50$ & $\frac{1}{10}$ \\ \hline Loafers & $\$ 70.75$ & $\frac{4}{25}$ \\ \hline \end{tabular}
How much should the company expect its shoppers to spend on the website on launch day? Round your answer to the nearest cent, if necessary.

See Solution

Problem 389

Linear Functions, Determining The Equation Find the slope of the line that passes through the given points. Then determine the Vertical Intercept. Use the Slope and Vertical Intercept to write the Equation for the Line. The first one is done for you as an example.
Note: If the slope does not exist, enter DNE

See Solution

Problem 390

Linear Functions, Determining The Equation Find the slope of the line that passes through the given points. Then determine the Vertical Intercept. Use the Slope and Vertical Intercept to write the Equation for the Line. The first one is done for you as an example. Note: If the slope does not exist, enter DNE

See Solution

Problem 391

7.) Find the equations of the lines parallel and perpendicular to the line, $3 x-19 y=-27$ , and passing through e point $(5,-2)$

See Solution

Problem 392

14. [-/3 Points]
DETAILS MY NOTES
SPRECALC7 10.2.046. Kitchen Korner produces refrigerators, dishwashers, and stoves at three different factories. The table gives the number of each product produced at each factory per day. Kitchen Korner receives an order for 166 refrigerators, 210 dishwashers, and 172 ovens. How many days should each plant be scheduled to fill this order? \begin{tabular}{|l|c|c|c|} \hline Appliance & Factory A & Factory B & Factory C \\ \hline Refrigerators & 8 & 10 & 14 \\ Dishwashers & 16 & 12 & 10 \\ Stoves & 10 & 18 & 6 \\ \hline \end{tabular}

See Solution

Problem 393

Kitchen Korner produces refrigerators, dishwashers, and stoves at three different factories. The table gives the number of each product produced at each factory per day. Kitchen Korner receives an order for 166 refrigerators, 210 dishwashers, and 172 ovens. How many days should each plant be scheduled to fill this order? \begin{tabular}{|l|c|c|c|} \hline Appliance & Factory A & Factory B & Factory C \\ \hline Refrigerators & 8 & 10 & 14 \\ Dishwashers & 16 & 12 & 10 \\ Stoves & 10 & 18 & 6 \\ \hline \end{tabular}

See Solution

Problem 394

For an elastic collision, both energy and momentum are conserved for a system. In this particular elastic collision, assume that it is a head-on collision in one dimension. The first object has a mass of $m_{1}$ and initial speed of $v_{1 i}$ , and the second object has a mass of $m_{2}$ and is initially at rest. Follow these steps to find the final speeds $v_{1 f}$ and $v_{2 f}$ of the two objects after the elastic collision. Record your answers in your lab notebook before turning in this worksheet.
1. Write an expression for the initial kinetic energy of (2 pts): a. Object 1 b. Object 2
2. Write an expression for the final kinetic energy of (2 pts): a. Object 1 b. Object 2
3. Write an equation for conservation of kinetic energy for this collision. (2 pts)
4. Write an expression for the initial momentum of (2 pts): a. Object 1 b. Object 2

See Solution

Problem 395

Graph the function. Plot at least 4 points. $t(x)=\frac{x^{2}+4 x-5}{x+2}$

See Solution

Problem 396

Question 4 The fox population in a certain region has an annual growth rate of 5 percent per year. It is estimated that the population in the year 2000 was 26800. (a) Find a function that models the population $t$ years after 2000 ( $t=0$ for 2000).
Your answer is $P(t)=$ $\square$ (b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer) $\square$ Question Help: Video Message instructor

See Solution

Problem 397

Convert the following polar coordinates to rectangular coordinates equations. (Here $a$ is a constant number.) $r=a$ $\square$ $r=a \sec (\theta)$ $\square$ $r=a \csc (\theta)$ $\square$ $r=2 a \sin (\theta)$ $\square$ $r=2 a \cos (\theta)$ $\square$ $r=a \sec (2 \theta)$ $\square$ $\theta=\frac{\pi}{4}$ $\square$
Drag or tap the options below to fill in the blanks $\left.x^{2}-y^{2}=a y=a y=x x^{2}+(y-a)^{2}=a^{2} x=a\right)^{2}+y^{2}=a^{2} x^{2}+y^{2}=a^{2}$

See Solution

Problem 398

2. Graph the function: $f(x)=\frac{-4 x^{2}+1}{x^{2}+x+3}$

See Solution

Problem 399

(1 point)
Use the third-order Taylor polynonial for $e^{x} \sin (3 x)$ at $x=0$ to approximate $e^{\frac{1}{7}} \sin (3 / 7)$ by a rational number. $e^{\frac{1}{7}} \sin (3 / 7) \approx$ $\square$

See Solution

Problem 400

Knowledge Check Question 10
Bulld a Venn diagram. - Use the names of the sets to label the reglons. - Place the numbers in the correct reglons. \begin{tabular}{|l|l|} \hline Names of the sets \\ Integers \\ Rational numbers \\ Whole numbers \\ Numbers \end{tabular}

See Solution

1 2 3 4 5 6 7 ...42

Model

Problem 301

Problem 302

Q2. The function f(x)=x2f(x)=x^{2}f(x)=x2 is shrinked (compressed) horizontally by A factor of 2 , then horizontally shifted 1 unit to the left then reflected About the yyy-axis. The equation of the resulting function is?

Problem 303

Problem 304

Identify the conic. Find the standard form of the equation by completing the square. Graph. x2+y2+8x−10y−8=0x^{2}+y^{2}+8 x-10 y-8=0x2+y2+8x−10y−8=0

Problem 305

How long will it take you to double your savings with a 6%6 \%6% annual compound interest rate? Round up to nearest whole year.Hint: Use Rule of 72 Enter number of years only □\square□ A

Problem 306

Write the equation in exponential form. Assume that all constants are positive and not equal to 1. log⁡a(t)=n\log _{a}(t)=nloga​(t)=n

Problem 307

Problem 308

Problem 309

Problem 310

Problem 311

Convert to an exponential equation. log⁡pV=−y\log _{p} V=-ylogp​V=−y

Problem 312

Problem 313

Problem 314

Write the log equation as an exponential equation. You do not need to solve for x. log⁡(3)=3x−1\log (3)=3 x-1log(3)=3x−1

Problem 315

QuestionWrite the log equation as an exponential equation. You do not need to solve for x . ln⁡(x)=2\ln (x)=2ln(x)=2

Problem 316

A bag contains 13 yellow tokens and 7 green tokens. Two tokens are drawn from the bag without replacement. \qquad Probabtity win change on second dran Draw a tree diagram to represent this experiment.

Problem 317

Problem 318

Graph the set and express the set in interval notation. {y∣y<−5}\{y \mid y<-5\}{y∣y<−5}Part: 0/20 / 20/2Part 1 of 2The graph of the set is

Problem 319

Graph the function. f(x)=(x−1)2(x+1)2f(x)=(x-1)^{2}(x+1)^{2}f(x)=(x−1)2(x+1)2

Problem 320

Problem 321

Graph the function. f(x)=112(x−5)(x−3)(x−1)f(x)=\frac{1}{12}(x-5)(x-3)(x-1)f(x)=121​(x−5)(x−3)(x−1)

Problem 322

Problem 323

What is the equation in slope-intercept form of the line that passes through the point (6,3)(6,3)(6,3) and is parallel to the graph of y=−23x+12?y=−23x+□\begin{array}{l} y=-\frac{2}{3} x+12 ? \\ y=-\frac{2}{3} x+\square \end{array}y=−32​x+12?y=−32​x+□​

Problem 324

Problem 325

Problem 326

In 1−31-31−3, write the logarithmic equation in exponential equation form.1. log⁡381=4\log _{3} 81=4log3​81=42. log⁡644=13\log _{64} 4=\frac{1}{3}log64​4=31​3. log⁡10000=4\log 10000=4log10000=4

Problem 327

Problem 328

Translate the phrase into an algebraic expression. The product of xxx and 9

Problem 329

Translate the phrase into an algebraic expression. The difference of ccc and 6

Problem 330

Problem 331

Question Show ExamplesWhat is the equation of the line that passes through the point (−3,−6)(-3,-6)(−3,−6) and has a slope of −23-\frac{2}{3}−32​ ?Answer Attempt 1 out of 2

Problem 332

Question Show ExamplesWhat is the equation of the line that passes through the point (−3,−6)(-3,-6)(−3,−6) and has a slope of −23-\frac{2}{3}−32​ ?Answer Attempt 2 out of 2

Problem 333

Question Watch Video Show ExamplesWhat is an equation of the line that passes through the point (5,−3)(5,-3)(5,−3) and is parallel to the line 4x+5y=154 x+5 y=154x+5y=15 ?

Problem 334

a) Write z=(2−5j)4z=(2-5 j)^{4}z=(2−5j)4 in the form z=reθjz=r e^{\theta j}z=reθj where r=r=r= □\square□ xxx and θ=\theta=θ= □\square□ radians

Problem 335

Problem 336

Problem 337

302 Electron Config11. Write the order of sublevels in electron configuration ( 1 s→…1 \mathrm{~s} \rightarrow \ldots1 s→… up to at least 3 d ) and state how many electrons can fit in each of the s,ps, ps,p and ddd sublevels)

Problem 338

B. 1 Write variable expressions D7KWrite an expression for the sequence of operations described below divide the product of aaa and 8 by 3 Do not simplify any part of the expression.

Problem 339

This is the graph of a linear inequality. Write the inequality in slope-

Problem 340

Problem 341

Problem 342

Question Write the equation of the line that passes through the points (4,7)(4,7)(4,7) and (5,−7)(5,-7)(5,−7). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Problem 343

Troy has ppp peppermints. Riley has 4 fewer peppermints than Troy. Write an expression that shows how many peppermints Riley has. □\square□ Submit

Problem 344

Problem 345

Problem 346

Problem 347

For babysitting, Nicole charges a flat fee of $3\$ 3$3, plus $5\$ 5$5 per hour. Write an equation for the cost, C , after hhh hours of babysitting.

Problem 348

Problem 349

Problem 350

Problem 351

Problem 352

Problem 353

Problem 354

Q2. The function $f(x)=x^{2}$ is shrinked (compressed) horizontally by A factor of 2 , then horizontally shifted 1 unit to the left then reflected About the $y$ -axis. The equation of the resulting function is?

Identify the conic. Find the standard form of the equation by completing the square. Graph. $x^{2}+y^{2}+8 x-10 y-8=0$

How long will it take you to double your savings with a $6 \%$ annual compound interest rate? Round up to nearest whole year.
Hint: Use Rule of 72 Enter number of years only $\square$ A

Write the equation in exponential form. Assume that all constants are positive and not equal to 1. $\log _{a}(t)=n$

Convert to an exponential equation. $\log _{p} V=-y$

Write the log equation as an exponential equation. You do not need to solve for x. $\log (3)=3 x-1$

Question
Write the log equation as an exponential equation. You do not need to solve for x . $\ln (x)=2$

A bag contains 13 yellow tokens and 7 green tokens. Two tokens are drawn from the bag without replacement. $\qquad$ Probabtity win change on second dran Draw a tree diagram to represent this experiment.

Graph the set and express the set in interval notation. $\{y \mid y<-5\}$
Part: $0 / 2$
Part 1 of 2
The graph of the set is

Graph the function. $f(x)=(x-1)^{2}(x+1)^{2}$

Graph the function. $f(x)=\frac{1}{12}(x-5)(x-3)(x-1)$

What is the equation in slope-intercept form of the line that passes through the point $(6,3)$ and is parallel to the graph of $\begin{array}{l} y=-\frac{2}{3} x+12 ? \\ y=-\frac{2}{3} x+\square \end{array}$

In $1-3$ , write the logarithmic equation in exponential equation form.
1. $\log _{3} 81=4$
2. $\log _{64} 4=\frac{1}{3}$
3. $\log 10000=4$

Translate the phrase into an algebraic expression. The product of $x$ and 9

Translate the phrase into an algebraic expression. The difference of $c$ and 6

Question Show Examples
What is the equation of the line that passes through the point $(-3,-6)$ and has a slope of $-\frac{2}{3}$ ?
Answer Attempt 1 out of 2

Question Show Examples
What is the equation of the line that passes through the point $(-3,-6)$ and has a slope of $-\frac{2}{3}$ ?
Answer Attempt 2 out of 2

Question Watch Video Show Examples
What is an equation of the line that passes through the point $(5,-3)$ and is parallel to the line $4 x+5 y=15$ ?

a) Write $z=(2-5 j)^{4}$ in the form $z=r e^{\theta j}$ where $r=$ $\square$ $x$ and $\theta=$ $\square$ radians

302 Electron Config
11. Write the order of sublevels in electron configuration ( $1 \mathrm{~s} \rightarrow \ldots$ up to at least 3 d ) and state how many electrons can fit in each of the $s, p$ and $d$ sublevels)

B. 1 Write variable expressions D7K
Write an expression for the sequence of operations described below divide the product of $a$ and 8 by 3 Do not simplify any part of the expression.

Question Write the equation of the line that passes through the points $(4,7)$ and $(5,-7)$ . Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.

Troy has $p$ peppermints. Riley has 4 fewer peppermints than Troy. Write an expression that shows how many peppermints Riley has. $\square$ Submit

For babysitting, Nicole charges a flat fee of $\$ 3$ , plus $\$ 5$ per hour. Write an equation for the cost, C , after $h$ hours of babysitting.

「豨 What compound inequality describes this graph?
Write a compotind inequality like $\mathbf{1}<\mathrm{x}<\mathbf{3}$ or like $\mathbf{x}<\mathbf{1}$ or $\mathbf{x}>\mathbf{3}$ .

7. Write and solve an equation for the model shown below.
Equation: $\qquad$ Solution: $\qquad$

Use the given zeros to write the complete factored form of $f(x)$ . $f(x)=2 x^{2}-23 x+66 ;$ zeros: $\frac{11}{2}$ and 6 $f(x)=$ $\square$ (Type your answer in factored form. Use integers or fractions for any numbers

The graph of a polynomial $f(x)$ with leading coefficient -1 and integer zeros is shown in the figure to the right. Write its complete factored form.
The complete factored form of $f(x)=$ $\square$ .

(2) Carmen has a bag of $p$ peaches. She adds 10 peaches to the bag. Then she gives all the peaches away She gives an equal number to each of 5 friends Write an expression that represents the number of peaches each friend recelves. Show your work. PHo 5 (i) $1(0) \div$ $\div 5$

Write the sentence as an equation. $w$ is equal to 7 divided by $m$
Type a slash ( / ) if you want to use a division sign.

5
Fill in the Blank 1 point Add the correct number (coefficient) in front of each element/compound to balance the following equation: type your answer... type your answer... $\mathrm{O}_{2} \rightarrow$ $\square$ type your answer... MgO $\square$
Previous

4 A value of 500 increases by $12 \%$ . Part A Write an equation that could be used to find the new value.

Write an equation for a rational function with:
Vertical asymptotes at $x=-2$ and $x=2$ $x$ intercepts at $x=3$ and $x=6$ $y$ intercept at 5 $y=$

Graph this line: $y+7=\frac{1}{4}(x+5)$
Click to select points on the graph.