Model

Problem 4001

A biologist has butterfly specimens of colors G, R, Y and ages 1-6 months. Identify specimens in events $A$ , $B$ , or $A \cap B$ .

See Solution

Problem 4002

Kevin starts with \ $750 in savings and adds \$70 weekly. Write$ S $as a function of$ W $and find$ S$ after 11 weeks.

See Solution

Problem 4003

A school needs 5 more desks in secondary classrooms than in elementary ones. With 20 elementary and 25 secondary classrooms totaling 1,115 desks, find the number of desks in each secondary classroom.

See Solution

Problem 4004

A pond starts with 700 liters and water is added at 35 liters/min. Write $W$ as a function of $T$ and find $W$ after 14 mins.

See Solution

Problem 4005

Justin's total pay $P$ is given by $P = 2100 + 70N$ . Find $P$ if he sells 28 copies: $P = 2100 + 70(28)$ .

See Solution

Problem 4006

A road starts at 54 miles, increasing by 2 miles daily. Find the equation $L = 54 + 2D$ and total length after 36 days.

See Solution

Problem 4007

The Sugar Sweet Company has a total cost $C = 7500 + 175S$ . Find the cost to transport 19 tons of sugar.

See Solution

Problem 4008

Sam starts with \ $350 and adds \$30 weekly. Write the equation for total savings$ S $after$ W $weeks and find$ S$ after 18 weeks.

See Solution

Problem 4009

A pond starts with 300 liters and fills at 29 liters/min. Write $W$ in terms of $T$ and find $W$ after 17 minutes.

See Solution

Problem 4010

Find the secant line between $x=-3$ and $x=-1$ for $y=f(x)=x^{2}+x$ and the tangent line at $x=-3$ .

See Solution

Problem 4011

Let $x$ be the weight bench-pressed by other competitors. Write the inequality: $x \leq 400 - 23$ .

See Solution

Problem 4012

Rewrite the cost of the software product as an inequality: $235 < x < 370$ .

See Solution

Problem 4013

How many years does light take to travel $3.65 \times 10^{8}$ miles if a light year is $5.87 \times 10^{12}$ miles?

See Solution

Problem 4014

Find Revenue, Cost, and Profit for selling $x$ thousand items with price \ $3.00, fixed cost \$143,185, and variable cost$ -3x^{2}+3480x-100$.

See Solution

Problem 4015

The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been observed to be predictable largely on the basis of the weather on the previous day. Specifically:
- if it is sunny on one day, it will be sunny the next day $\frac{1}{3}$ of the time, and be cloudy the next day $\frac{2}{3}$ of the time - if it is cloudy on one day, it will be sunny the next day $\frac{2}{3}$ of the time, and be cloudy the next day $\frac{1}{6}$ of the time - if it is rainy on one day, it will be sunny the next day $\frac{1}{6}$ of the time, and be cloudy the next day $\frac{1}{3}$ of the time
Using 'sunny', 'cloudy', and 'rainy' (in that order) as the states in a system, set up the transition matrix for a Markov chain to describe this system.
Use your matrix to determine the probability that it will rain on Thursday if it is sunny on Sunday.
$P=\left[\begin{array}{lll} 0 & 0 & 0 \\ 0 & 0 & 0 \\ 0 & 0 & 0 \end{array}\right]$
Probability of rain on Thursday $=0$

See Solution

Problem 4016

assessment.peardeck.com Tube Math 2 Final Review Fall 2024 Fall 2024 Pear Assessment Pakas en las Rakas - Junior H BOOKMARK CHECK ANSWER
53 What is the absolute value function represented by the graph below? Give your answer in vertex form $(y=a|x-h|+k)$

See Solution

Problem 4017

The graph shows $g(x)$ , which is a translation of $f(x)=x^{2}$ . Write the function rule for $g(x)$ .
Write your answer in the form $\mathrm{a}(\mathrm{x}-\mathrm{h})^{2}+\mathrm{k}$ , where $\mathrm{a}, \mathrm{h}$ , and k are integers or simplified fractions. $g(x)=$

See Solution

Problem 4018

82. Write an equation of a line in slope-intercept form that is perpendicular to the line $x-5 y=20$ .

See Solution

Problem 4019

Results of Dart Competition \begin{tabular}{|l|c|c|c|c|c|} \hline Number of bull's eyes & 6 & 7 & 8 & 9 & 10 \\ \hline Number of players & 2 & 3 & 4 & 0 & 1 \\ \hline \end{tabular}
Source: Data from dart competition 5: Draw a line plot using the data in the table. Online Workbook AC Chapter 18 Practice 2

See Solution

Problem 4020

a) A factory makes 3types of products $P_{1}, P_{2}, P_{3}$ . The factory needs 5 units of volume to store one unit of $P_{1}, 3.5$ units of volume to store one unit of $P_{2}, 4.2$ units of volume to store one unit of $P_{3}$ . The factory uses 3 hours of manpower to make 1 unit of $P_{1}, 4$ hours of manpower to make 1 unit of $P_{2}, 6$ hours of manpower to make 1 unit of $P_{3}$ It sells 1 unit of $P_{1}$ at $450 \mathrm{~F}, 1$ unit of $P_{2}$ at $620 \mathrm{~F}, 1$ unit of $P_{3}$ at 780 F . The factory has only 40 units of stock volume, it cannot pay over 20 hours of manpower. Formulate it as the optimization LPP. b) What is difference between TRANSPORTATION PROBLEM and ASSIGNMENT PROBLEM? c) What are the steps in decision marking process? d) Find the maximum of $f(x, y)=17 x+15 y$ $\begin{array}{l} 80 \leq 4 x+2 y \\ y \leq 4+x \\ x \leq 8+y \\ x+y \leq 40 \\ x \geq 0 \\ y \geq 0 \end{array}$

See Solution

Problem 4021

Journalize Period Payroll The payroll register of Chen Engineering Co, indicates $\$ 1,140$ of social security withheld and $\$ 285$ of Medicare tax withheld on total salaries of $\$ 19,000$ for the period. Retirement savings withheld from employee paychecks were $\$ 1,330$ for the period. Federal withholding for the period totaled $\$ 3,420$ .
Provide the journal entry for the period's payroll. If an amount box does not require an entry, leave it blank.

See Solution

Problem 4022

Joumalize Period Payroll The payroll register of Chen Engineering Co. indicates $\$ 1,140$ of social security withheld and $\$ 285$ of Medicare tax withheld on total salaries of $\$ 19,000$ for the period. Retirement savings withheld from employee paychecks were $\$ 1,330$ for the period. Federal withholding for the period totaled $\$ 3,420$ .
Provide the journal entry for the period's payroll. If an amount box does not require an entry, leave it blank.

See Solution

Problem 4023

Journalize Payroll Tax The payroll register of Shortman Co. indicates $\$ 3,240$ of social security withineld and $\$ 810$ of Medicare tax withheld on total salaries of $\$ 54,000$ for the period. Earnings of $\$ 5,000$ are subject to state and federal unemployment compensation taxes at the federal rate of $0.6 \%$ and the state rate of $5.4 \%$ .
Provide the journal entry to record the payroll tax expense for the period. If an amount box does not require an entry, leave it blank.

See Solution

Problem 4024

Write the sentence as an equation.
201 is equal to $r$ and 246 more

See Solution

Problem 4025

35.16. Найти систему линейных уравнений, задающую систему векторов: а) $\langle(1,-1,1,0),(1,1,0,1),(2,0,1,1)\rangle$ ; б) $\langle(1,-1,1,-1,1),(1,1,0,0,3),(3,1,1,-1,7)\rangle$ .

See Solution

Problem 4026

Write the equation of this circle in standard form. $\square$ $\square$ 2

See Solution

Problem 4027

8. A manufacturer makes two types of jet skis, single rider and multiple riders. The profit on a single-rider jet ski is $\$ 200$ and the profit on the multi-rider jet ski is $\$ 250$ . To meet customer demand, the company must manufacture at least 50 single-rider jet skis and 75 multi-rider jet skis per week. To maintain high quality, the total number of both models manufactured by the company should not exceed 150 models per week. How many of each model should the company produce to maximize the profit?

See Solution

Problem 4028

A graph for simple interest steps up uniformly from interest period to interest period since the interest earned is constant and is always calculated on the original principal. The stairs line up in a line similar to the photographed railing. \$10 invested at 50\% interest year 1 = \$15 year 2 = \$20 year 3 = \$25

See Solution

Problem 4029

48. Draw a picture to illustrate the property of a parallelogram. a. Both pairs of opposite sides are parallel. b. Both pairs of opposite sides are congruent. c. Both pairs of opposite angles are congruent. d. Diagonals bisect each other. e. One pair of opposite sides are congruent and parallel.

See Solution

Problem 4030

Translate this phrase into an algebraic expression. The sum of 16 and twice Chrissy's savings Use the variable $c$ to represent Chrissy's savings.

See Solution

Problem 4031

15. A bakery sells loaves of sourdough bread for $\$ 15$ and baguettes for $\$ 10$ . The owner wants at least $\$ 250$ in sales today. Which inequality shows the number of loaves and baguettes that must be sold? A) $15 x+10 y>250$ B) $15 x+10 y<250$ C) $15 x+10 y \geq 250$ D) $15 x+10 y \leq 250$

See Solution

Problem 4032

Use the linear function aituation to answer the questions. Complete Stepa 1-2 in ordar. For a new hobby, Leo purchases a vintage camera for \$475. Leo pays \$5.99 for each roll he gets developed. Calculate how much Leo's new hobby is costing him based on the number of film rolls he needs to develop.
5. Step 2: Use the linear function situation to angwer the queation.
Choose the function equation for the situation. $y=\frac{475}{5.99} \pi$ $y=475+5.99 x$ $y=475-5.99 x$ $y=475 x+5.99$
6. Step 1: Use the linear function situation to answer the question.
Select the correct definitions for $x$ and $y$ . Let $x$ equal the number of film rolls. Let $y$ equal how much Leols new hobby is costing him Let $y$ equal the number of film roils. Let $x$ equal the cost to develop 1 roll of film. Let $y$ equal the cost to develop 1 roll of film. Let $x$ equal how much Ledia new hobby is costing him.

See Solution

Problem 4033

Write an algebraic expression for a number divided by 8.

See Solution

Problem 4034

Find the secant line for $f(x)=\frac{5}{x}$ at $x=4$ and $x=5$ , and the tangent line at $x=4$ .

See Solution

Problem 4035

The Tigers scored 6 runs, which is 2 times the Orioles' runs. Find the equation for the Orioles' runs, $r$ .

See Solution

Problem 4036

Find the average cost per unit for $C=-5.4 x^{2}+4900 x+190,000$ when $x=30$ . Round to the nearest cent.

See Solution

Problem 4037

Ella starts with 25 points and earns 5.5 points per visit. Write the inequality for visits $v$ to reach at least 80 points:
$25 + 5.5v \geq 80$

See Solution

Problem 4038

Change the thousands digit in 748,712 to be $\frac{1}{10}$ of the ten thousands digit. What is the new number?

See Solution

Problem 4039

Find the linear demand function $p(x)$ for a stadium with 52,000 capacity, given ticket prices and attendance data. Write $p(x)$ in slope-intercept form.

See Solution

Problem 4040

Californian rabbits in New Zealand: currently 190M, growing by 4M/year. Find: A. Equation $P(t)=mt+b$ ; B. $P(13)$ ; C. years since intro.

See Solution

Problem 4041

Easton can rent a car for \$49.67/day and \$0.14/mile. With \$290 and driving 475 miles, how many days can he rent?

See Solution

Problem 4042

What is the new equation of the graph $y=f(x)$ after translating it left 7 units and up 3 units?

See Solution

Problem 4043

Find the equation of the graph after translating $y=f(x)$ left 8 units and reflecting it across the $x$ -axis: $y=$ .

See Solution

Problem 4044

Find the new equation of $y=f(x)$ after translating left 5 units, up 2 units, and stretching horizontally by 3.

See Solution

Problem 4045

Graph the function $g(x)=|x|+2$ based on the graph of $f(x)=|x|$ .

See Solution

Problem 4046

Reflect the graph of $f(x)=x^{3}$ about the $x$ -axis, shift it down 9 and right 2. Find $g(x)$ .

See Solution

Problem 4047

Graph the function $g$ by reflecting $f(x)=x^{2}$ about the $x$ -axis, then shifting up 2 and left 4. Find $g(x)$ .

See Solution

Problem 4048

Estimate the number of employees in educational services in 2010, given 14.5 million in 2005 and 16.5 million in 2014. Use a linear model.

See Solution

Problem 4049

4. A teacher is creating a test for his Algebra 1 students. The test is made up of multiple-choice and free response questions. Each mutliple-choice question is worth 7 points and each free response question is worth 8 points. If the test has 48 questions and is worth a total of 374 points, which equations can be used to find $x$ , the number of multiple-choice questions and $y$ , the number of free response questions on the test? Choose TWO correct answers.

See Solution

Problem 4050

8. Represent and Connect Andre wrote the expression $15(1.5 x-3)$ to represent the relationship shown in the table. Write two other expressions that represent the relationship shown in the table.

See Solution

Problem 4051

Une $f$ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 2 & 7 \\ \hline 4 & 10.5 \\ \hline 7 & 15.75 \\ \hline 11 & 22.75 \\ \hline \end{tabular}
Line $g$ \begin{tabular}{|r|r|} \hline $x$ & \multicolumn{1}{|c|}{ $y$ } \\ \hline-3 & 4 \\ \hline-2 & 0 \\ \hline 1 & -12 \\ \hline 4 & -24 \\ \hline \end{tabular}
Write a system of equations that represents lines fand $g$ . (work space below)

See Solution

Problem 4052

The table below shows the time spent watching TV and the time spent doing homework for each of 7 students. Create a scatter plot for the data. \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Time spent \\ watching TV \\ (in hours) \end{tabular} & \begin{tabular}{c} Time spent \\ doing homework \\ (in hours) \end{tabular} \\ \hline 5 & 12 \\ \hline 8 & 7 \\ \hline 9 & 9 \\ \hline 10 & 6 \\ \hline 11 & 4 \\ \hline 13 & 1 \\ \hline 14 & 2 \\ \hline \end{tabular}

See Solution

Problem 4053

39.) Write a quadratic function in standard form that has roots of $\frac{2}{3}$ and -4 .

See Solution

Problem 4054

Find the equation for the function that is finally graphed after the following transformations are applied to the graph of $y=x^{2}$ in the order listed. a) Reflect about the $x$ -axis b) Shift up 5 units c) Shift left 2 units

See Solution

Problem 4055

12 The registration at a preschool is $\$ 125$ . Then, parents must also pay $\$ 475$ per month for tuition. A. What is the rate of change? $\square$ B. What is the initial value? $\square$ C. What is the independent variable? $\square$ D. What is the dependent variable? $\square$
Write an equation to represent the total cost after each month. $\square$

See Solution

Problem 4056

Ready Graph Systems of Linear Equations - Quiz - Level H
Two groups are hiking on a glacier. Group B starts 1 mile ahead of Group A and walks 2 miles per hour. To catch up to Group B, Group A walks 3 miles per hour. $x$ : hours since the start of the hike $y$ : miles from the start of the trail Which equation shows Group A's distance from the start? $y=3 x$ $y=x+1$ $y=x+3$ $y=3 x+1$

See Solution

Problem 4057

32500 صندوق، 2000 دئر 2000 بنك ، 525 نور وميار، 875 عمولة وكلاء الشراء، 2500 جمارك مشتريات، 3500 مردود المبيعات، 2000 ايجار، 625 خصم مسموح به، 32500 مصاريف نتل مبيعات، 1250 عمولة وكلاء البيع، 14000 أنات، 175000 عملاء، 1750 مردود مشتريات، 4000 مسحوبات، 13635 خصم مكتسب، 1125 فواند داننة، 6000 أوراق مالية ، 8750أوراق دفع، 1300 مصروف دعاية وإعلان ، 13625 موردون، 127500 راس المال. إذا علمت أن بضاعة أخر المدة قدرت ب 35875 المطلوب: 1. إعداد قائمة الدخل (قَائمة نتيجة الاعمال) عن السنة المنتهية في 2018/12/31

See Solution

Problem 4058

1 Die Punkte $A(1|2| 1), B(-2|4| 1)$ und $C(4|1|-1)$ legen eine Ebene fest. Geben Sie für die Ebene eine a) Parametergleichung b) Koordinatengleichung an.

See Solution

Problem 4059

15 из 45 Следующий 37:32 II
Ученый изучает популяцию белок в определенном регионе в течение нескольких лет. Изначально там 24 белки, и популяция белок удваивается каждый год.
Какая функция лучше всего представляет количество белок в регионе в концехлет? Обоснуйте свой ответ.
A $f(x)=x^{2}-24$ , поскольку функция растет на одинаковую разницу каждый год и лучше всего представляется линейной функцией.
5 $f(x)=24\left(2^{x}\right)$ , поскольку функция ежегодно увеличивается в 2 раза и лучше всего ее можно представить экспоненциальной функцией.
C $f(x)=2 x+24$ , поскольку функция ежегодно увеличивается на постоянный коэффициент 2 и лучше всего представляется линейной функцией.
Д $f(x)=2\left(24^{x}\right)$ , поскольку функция ежегодно увеличивается в 2 раза и лучше всего ее можно представить экспоненциальной функцией.

See Solution

Problem 4060

Mr. Ishimoto ordered $x$ new math books and $y$ new workbooks for his class. The totat weight of the box of books cannot be more than 50 pounds. If each math book weighs 3.2 pounds and each workbook weighs 0.8 pounds, which inequality represents the maximum numberfof each type of book that can be shipped in a single box? $3.2 x+0.8 y<50$ $3.2 x+0.8 y \leq 50$ $0.8 x+3.2 y<50$ $0.8 x+3.2 y \leq 50$

See Solution

Problem 4061

25 и3 45 Следующий 01:06:22
Прокат велосипедов на пляже стоит $\$ 5$ плюс $\$ 2$ в час. Напишите функцию для моделирования этой ситуации и постройте ее график ниже.
Прокат велосипедов Рэй Отменить
Переделать Перезагрузить D2LL

See Solution

Problem 4062

8. Sketch a graph where $f(4)$ does not exist but $\lim _{x \rightarrow 4} \quad f(x)$ does exist.

See Solution

Problem 4063

Find an equation for the line below. Continue

See Solution

Problem 4064

Using Microsoft Excel, create an investment cash-flow diagram that will have a present worth of zero using MARR $=12 \%$ . The study period needs to be exactly $\underline{9}$ years and each year should have at least one unique cash-flow that is different from the cash-flows over the other years. Your answer should contain a table showing the cash-flows for each year and a graphical representation of the cash-flows (cash-flow diagram).

See Solution

Problem 4065

Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through $(1,9)$ and perpendicular to $2 x+5 y=1$ . a) The equation of the ine in slope-intercept form is $\square$ . (Type your answer in slope-intercept form. Use irfegers or fractions for any numbers in the equation.)

See Solution

Problem 4066

Write an expression for the sequence of operations described below. raise 7 to the 4th power, then divide the result by $y$ Do not simplify any part of the expression. $\square$

See Solution

Problem 4067

At The Ski Shack, customers can rent skis, snowboards, boots, and poles by the day. Mrs. Alvarez is renting skis and poles. She has a coupon for \$18 off.
Which expression represents the total cost for Mrs. Alvarez to rent skis for $s$ days and poles for $p$ days? $48 s+12 p-18$
Mrs. Alvarez rents skis and poles for 3 days. What is the total cost of the rental?
The total cost of the rental is $\$$ \begin{tabular}{|ll} \hline \multicolumn{2}{|c|}{ Rentals } \\ & \\ \hline Skis & $\$ 48 /$ day \\ Snowboard & $\$ 52 /$ day \\ Boots & $\$ 30 /$ day \\ Poles & $\$ 12 /$ day \\ \hline & \\ \hline Helmet & Add $\$ 10$ \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|} \hline & \multicolumn{2}{c|}{} & $x$ \\ \hline 7 & 8 & 9 & $x$ \\ \hline 4 & 5 & 6 & - \\ \hline 1 & 2 & 3 & - \\ \hline 0 & & $(-1)$ & \\ \hline \end{tabular}

See Solution

Problem 4068

Graph the linear equation $y=\frac{5}{3} x$ .

See Solution

Problem 4069

Let the number of schools in 2006 be 98,825 and in 2010 be 97,241. Write an inequality: 98,825 > 97,241.

See Solution

Problem 4070

Write an inequality to compare new book titles published in 2009 ( $1,487,829$ ) and 2010 ( $4,137,174$ ).

See Solution

Problem 4071

Use the Partial Product Strategy to calculate 861 × 28.

See Solution

Problem 4072

Jared made 75% of his $x$ shots, Zach made 80% of $x+10$ shots. Together they made 101 shots. Which equation fits?

See Solution

Problem 4073

Find the volume of a box with a 19 by 22 base and 27 height using the formula: volume = base area × height.

See Solution

Problem 4074

A pet shop has 24 fish in 8 tanks. What multiplication fact helps find fish per tank? Use $24 \div 8$ .

See Solution

Problem 4075

Find the distance from Fresno to San Francisco on a second map with a scale of $1 \mathrm{~cm}$ to $100 \mathrm{~km}$ .

See Solution

Problem 4076

Ezra delivered 5 gallons of coffee, each cup is $\frac{1}{7}$ gallon. How many cups did he deliver?

See Solution

Problem 4077

Convert 5 hundreds, 6 ten thousands, and 2 ones into a single numerical value.

See Solution

Problem 4078

For three food shelters, model food costs $F$ based on people served $N$ and receipts $R$ . Predict $F$ for $N=3500$ , $R=\$ 13,500$ .

See Solution

Problem 4079

Estimate household size $\mathrm{H}$ using $\mathrm{H}=a \mathrm{M}+b \mathrm{P}+c$ from given data: (6, 5, 2.2), (3, 3.5, 0.1), (9, 6, 4.6). Find $\mathrm{a}$ , $\mathrm{b}$ , $\mathrm{c}$ .

See Solution

Problem 4080

A lab device releases gas at $\frac{0.25 \text{ L}}{s}$ with density $\frac{4.3 \text{ g}}{L}$ . Find time to release 154 g.

See Solution

Problem 4081

The Lopez family drove 210 miles to Nashville and 390 miles total. Find the distance to Knoxville and the property of equality used.

See Solution

Problem 4082

1. Solve $-\frac{3}{4} y=\frac{8}{20}$ for $y$ .
2. The Lopez family drove 210 miles to Nashville and 390 miles total. Find the distance from Nashville to Knoxville.
3. Explain a property of equality to isolate the variable.
4. How far is Knoxville from Nashville, and how can you verify your answer?
5. If they drive 47 miles less to Chattanooga, write an equation for the distance from Memphis to Chattanooga. How far is Chattanooga from Nashville?

See Solution

Problem 4083

Find how many seconds it takes for a device releasing gas at $\frac{0.25}{1 \text{ liter}}$ to produce 154 grams.

See Solution

Problem 4084

Complete the unit conversions for problems 1-11, rounding to the nearest hundredth if needed. 12: How far can Miss Baker walk in an hour?

See Solution

Problem 4085

A lab device releases gas at a rate of $\frac{0.25}{\text{second}}$ . With a density of $\frac{4.3 \text{ grams}}{1 \text{ liter}}$ , find the time to release 154 grams.

See Solution

Problem 4086

Find the slope-intercept form of a line with $x$ -intercept $=7$ and $y$ -intercept $=2$ .

See Solution

Problem 4087

A car moves at 41 m/s using 756 J/s. How far does it travel using 52,700 J? Calculate the distance.

See Solution

Problem 4088

A new apartment complex is being built down the street from Denise's house. The apartment complex has 4 floors, and residents can choose between the Kensington floor plan with 2 bedrooms or the Windshire floor plan with 3 bedrooms. There are $k$ Kensington apartments and $w$ Windshire apartments on each floor.
Pick all the expressions that represent how many bedrooms are in the new apartment complex. $4(2 k+3 w)$ $20(k+w)$ $8 k+12 w$ $4(2 k)+4(3 w)$

See Solution

Problem 4089

20. People are entering a stadium at a steady rate of 32 people per minute. When the gates open, there are already 46 people in the stadium. No one leaves the stadium for the first hour after the gates have opened. (a) How many people will be in the stadium 30 minutes after it opens? Show the calculations that lead to you answer. (b) Write a linear equation for the number of people, $n$ , as a function of the time in minutes, $m$ , since the gates were opened. $\begin{aligned} 32(30) & =960 \text { people } \\ & +46 \text { people } \\ & 1006 \text { people } \end{aligned}$ $n(m)=32 n+46$ (c) After one hour, no additional people enter, but some start to leave. If it takes a total of 4 hours for the stadium to completely empty, what is the average rate at which people leave, in people per hour? Show the calculations that lead to your answer. $\begin{aligned} h(60) & =32(60)+46 \\ & =1966 \text { prople } \end{aligned}$ $=1966$ people $\frac{1966}{3}=6553 \geqslant \text { people pe }$

See Solution

Problem 4090

Graph the function. $f(x)=\sqrt{x}-7$

See Solution

Problem 4091

The table below shows the amount of rainfall and the temperature at noon in each of 8 cities. Create a scatter plot for the data. \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Amount of rainfall \\ (in millimeters) \end{tabular} & \begin{tabular}{c} Temperature \\ (in ${ }^{\circ} \mathrm{C}$ ) \end{tabular} \\ \hline 3 & 13 \\ \hline 5 & 9 \\ \hline 7 & 10 \\ \hline 8 & 8 \\ \hline 10 & 5 \\ \hline 11 & 6 \\ \hline 12 & 2 \\ \hline 14 & 3 \\ \hline \end{tabular}

See Solution

Problem 4092

Find an equation for a sinusoidal function that has period $2 \pi$ , amplitude 2 , and contains the point ( $2 \pi, 0$ ).
Write your answer in the form $\mathrm{f}(\mathrm{x})=\mathrm{A} \sin (\mathrm{Bx}+\mathrm{C})+\mathrm{D}$ , where $\mathrm{A}, \mathrm{B}, \mathrm{C}$ , and D are real numbers. $f(x)=$ $\square$

See Solution

Problem 4093

Use the given conditions to write an equation for the line in point-slope form and general form. Passing through $(8,-1)$ and perpendicular to the line whose equation is $x-7 y-9=0$

See Solution

Problem 4094

Joanna has a total of 50 coins in her purse. • The coins are either nickels or quarters. ■ The total value of the coins is $7.10. Which system of equations can be used to determine the number of nickels, n, and quarters, q, that Joanna has in her purse? O n+q= 50 0.05n+ 0.25q = 7.10 n+q=7.10 50n+50q = 7.10 0.05n+ 0.25q = 50 n+q= 7.10 0.05n+ 0.25q = 7.10 50n+ 50q = 7.10

See Solution

Problem 4095

Question 4 The Remaining 85 mins
A group of friends wants to go to the amusement park. They have no more than $\$ 125$ to spend on parking and admission. Parking is $\$ 16.75$ , and tickets cost $\$ 20.25$ per person, including tax. Which inequality can be used to determine $x$ , the maximum number of people who can go to the amusement park?
Answer $16.75+20.25 x \geq 125$ $20.25(x+16.75) \geq 125$ Subnil Alshar $20.25(x+16.75) \leq 125$ $16.75+20.25 x \leq 125$

See Solution

Problem 4096

Problem A Continue the two sequences of numbers below and find an equation to calculate the $n$ -th value: \begin{tabular}{c|c|c|c|c|c|c|c|c} $\mathbf{n}$ & $\mathbf{1}$ & $\mathbf{2}$ & $\mathbf{3}$ & $\mathbf{4}$ & $\mathbf{5}$ & $\mathbf{6}$ & $\mathbf{7}$ & Equation \\ \hline $a_{n}$ & 2 & 5 & 10 & 17 & 26 & 37 & & \\ \hline $b_{n}$ & 1 & 2 & 8 & 48 & 384 & 3840 & & \end{tabular}

See Solution

Problem 4097

A new car is worth $\$ 25,000$ . However, it loses $12 \%$ of its value each year due to depreciation. Write an explicit formula describing the value of the car, $a_{n}$ , after $n$ years.

See Solution

Problem 4098

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is $2 x^{2}+1$ inches. She plans to make a similar pillow, including the ribbon, whose side length is $4 x-7$ inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if $x=3.5$ ? $2 x^{2}+4 x-6 ; 22.0$ inches $2 x^{2}+4 x-6 ; 32.5$ inches $4\left(2 x^{2}+4 x-6 ;\right) 88.0$ inches $4\left(2 x^{2}+4 x-6 ;\right) 130.0$ inches

See Solution

Problem 4099

Give the relevant proportion using correct notation. A survey conducted of 1060 randomly selected US teens aged 13 to 17 found that 605 of them say they have made a new friend online. ${ }^{1}$ ${ }^{1}$ Lenhart A, "Teens, Technology, and Friendships", Pew Research Center, pewresearch.org, August 6, 2015. $:=$ $\square$ $\square$ $\square$ : : < : $\mu$ $\mu_{1}$ $\mu_{2}$ : $p$ : $p_{1}$ $p_{2}$ 0.57 : $\rho$ $\bar{x}$ $\square$ $\bar{x}_{2}$ $\hat{p}$ $\hat{p}_{1}$ $\hat{p}_{2}$ : $r$

See Solution

Problem 4100

(MP) Model with Mathematics A box of pasta weighs 13.6 ounces. A recipe calls for 95.2 ounces of pasta. Write and solve an equation to find the number of boxes of pasta needed to make the recipe.

See Solution

1 ...38 39 40 41 42

Model

Problem 4001

A biologist has butterfly specimens of colors G, R, Y and ages 1-6 months. Identify specimens in events AAA, BBB, or A∩BA \cap BA∩B.

Problem 4002

Kevin starts with \750insavingsandadds$70weekly.Write750 in savings and adds \$70 weekly. Write 750insavingsandadds$70weekly.WriteSasafunctionof as a function of asafunctionofWandfind and find andfindS$ after 11 weeks.

Problem 4003

A school needs 5 more desks in secondary classrooms than in elementary ones. With 20 elementary and 25 secondary classrooms totaling 1,115 desks, find the number of desks in each secondary classroom.

Problem 4004

A pond starts with 700 liters and water is added at 35 liters/min. Write WWW as a function of TTT and find WWW after 14 mins.

Problem 4005

Justin's total pay PPP is given by P=2100+70NP = 2100 + 70NP=2100+70N. Find PPP if he sells 28 copies: P=2100+70(28)P = 2100 + 70(28)P=2100+70(28).

Problem 4006

A road starts at 54 miles, increasing by 2 miles daily. Find the equation L=54+2DL = 54 + 2DL=54+2D and total length after 36 days.

Problem 4007

The Sugar Sweet Company has a total cost C=7500+175SC = 7500 + 175SC=7500+175S. Find the cost to transport 19 tons of sugar.

Problem 4008

Sam starts with \350andadds$30weekly.Writetheequationfortotalsavings350 and adds \$30 weekly. Write the equation for total savings 350andadds$30weekly.WritetheequationfortotalsavingsSafter after afterWweeksandfind weeks and find weeksandfindS$ after 18 weeks.

Problem 4009

A pond starts with 300 liters and fills at 29 liters/min. Write WWW in terms of TTT and find WWW after 17 minutes.

Problem 4010

Find the secant line between x=−3x=-3x=−3 and x=−1x=-1x=−1 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 4011

Let xxx be the weight bench-pressed by other competitors. Write the inequality: x≤400−23x \leq 400 - 23x≤400−23.

Problem 4012

Rewrite the cost of the software product as an inequality: 235<x<370235 < x < 370235<x<370.

Problem 4013

How many years does light take to travel 3.65×1083.65 \times 10^{8}3.65×108 miles if a light year is 5.87×10125.87 \times 10^{12}5.87×1012 miles?

Problem 4014

Find Revenue, Cost, and Profit for selling xxx thousand items with price \3.00,fixedcost$143,185,andvariablecost3.00, fixed cost \$143,185, and variable cost 3.00,fixedcost$143,185,andvariablecost-3x^{2}+3480x-100$.

Problem 4015

Problem 4016

assessment.peardeck.com Tube Math 2 Final Review Fall 2024 Fall 2024 Pear Assessment Pakas en las Rakas - Junior H BOOKMARK CHECK ANSWER53 What is the absolute value function represented by the graph below? Give your answer in vertex form (y=a∣x−h∣+k)(y=a|x-h|+k)(y=a∣x−h∣+k)

Problem 4017

Problem 4018

82. Write an equation of a line in slope-intercept form that is perpendicular to the line x−5y=20x-5 y=20x−5y=20.

Problem 4019

Problem 4020

Problem 4021

Problem 4022

Problem 4023

Problem 4024

Write the sentence as an equation.201 is equal to rrr and 246 more

Problem 4025

Problem 4026

Write the equation of this circle in standard form. □\square□ □\square□ 2

Problem 4027

Problem 4028

Problem 4029

48. Draw a picture to illustrate the property of a parallelogram. a. Both pairs of opposite sides are parallel. b. Both pairs of opposite sides are congruent. c. Both pairs of opposite angles are congruent. d. Diagonals bisect each other. e. One pair of opposite sides are congruent and parallel.

Problem 4030

Translate this phrase into an algebraic expression. The sum of 16 and twice Chrissy's savings Use the variable ccc to represent Chrissy's savings.

Problem 4031

Problem 4032

Problem 4033

Write an algebraic expression for a number divided by 8.

Problem 4034

Find the secant line for f(x)=5xf(x)=\frac{5}{x}f(x)=x5​ at x=4x=4x=4 and x=5x=5x=5, and the tangent line at x=4x=4x=4.

Problem 4035

The Tigers scored 6 runs, which is 2 times the Orioles' runs. Find the equation for the Orioles' runs, rrr.

Problem 4036

Find the average cost per unit for C=−5.4x2+4900x+190,000C=-5.4 x^{2}+4900 x+190,000C=−5.4x2+4900x+190,000 when x=30x=30x=30. Round to the nearest cent.

Problem 4037

Ella starts with 25 points and earns 5.5 points per visit. Write the inequality for visits vvv to reach at least 80 points: 25+5.5v≥8025 + 5.5v \geq 8025+5.5v≥80

Problem 4038

Change the thousands digit in 748,712 to be 110\frac{1}{10}101​ of the ten thousands digit. What is the new number?

Problem 4039

Find the linear demand function p(x)p(x)p(x) for a stadium with 52,000 capacity, given ticket prices and attendance data. Write p(x)p(x)p(x) in slope-intercept form.

Problem 4040

Californian rabbits in New Zealand: currently 190M, growing by 4M/year. Find: A. Equation P(t)=mt+bP(t)=mt+bP(t)=mt+b; B. P(13)P(13)P(13); C. years since intro.

Problem 4041

Easton can rent a car for \$49.67/day and \$0.14/mile. With \$290 and driving 475 miles, how many days can he rent?

Problem 4042

What is the new equation of the graph y=f(x)y=f(x)y=f(x) after translating it left 7 units and up 3 units?

Problem 4043

Find the equation of the graph after translating y=f(x)y=f(x)y=f(x) left 8 units and reflecting it across the xxx-axis: y=y=y=.

Problem 4044

Find the new equation of y=f(x)y=f(x)y=f(x) after translating left 5 units, up 2 units, and stretching horizontally by 3.

Problem 4045

Graph the function g(x)=∣x∣+2g(x)=|x|+2g(x)=∣x∣+2 based on the graph of f(x)=∣x∣f(x)=|x|f(x)=∣x∣.

Problem 4046

A biologist has butterfly specimens of colors G, R, Y and ages 1-6 months. Identify specimens in events $A$ , $B$ , or $A \cap B$ .

Kevin starts with \ $750 in savings and adds \$70 weekly. Write$ S $as a function of$ W $and find$ S$ after 11 weeks.

A pond starts with 700 liters and water is added at 35 liters/min. Write $W$ as a function of $T$ and find $W$ after 14 mins.

Justin's total pay $P$ is given by $P = 2100 + 70N$ . Find $P$ if he sells 28 copies: $P = 2100 + 70(28)$ .

A road starts at 54 miles, increasing by 2 miles daily. Find the equation $L = 54 + 2D$ and total length after 36 days.

The Sugar Sweet Company has a total cost $C = 7500 + 175S$ . Find the cost to transport 19 tons of sugar.

Sam starts with \ $350 and adds \$30 weekly. Write the equation for total savings$ S $after$ W $weeks and find$ S$ after 18 weeks.

A pond starts with 300 liters and fills at 29 liters/min. Write $W$ in terms of $T$ and find $W$ after 17 minutes.

Find the secant line between $x=-3$ and $x=-1$ for $y=f(x)=x^{2}+x$ and the tangent line at $x=-3$ .

Let $x$ be the weight bench-pressed by other competitors. Write the inequality: $x \leq 400 - 23$ .

Rewrite the cost of the software product as an inequality: $235 < x < 370$ .

How many years does light take to travel $3.65 \times 10^{8}$ miles if a light year is $5.87 \times 10^{12}$ miles?

Find Revenue, Cost, and Profit for selling $x$ thousand items with price \ $3.00, fixed cost \$143,185, and variable cost$ -3x^{2}+3480x-100$.

assessment.peardeck.com Tube Math 2 Final Review Fall 2024 Fall 2024 Pear Assessment Pakas en las Rakas - Junior H BOOKMARK CHECK ANSWER
53 What is the absolute value function represented by the graph below? Give your answer in vertex form $(y=a|x-h|+k)$

82. Write an equation of a line in slope-intercept form that is perpendicular to the line $x-5 y=20$ .

Write the sentence as an equation.
201 is equal to $r$ and 246 more

Write the equation of this circle in standard form. $\square$ $\square$ 2

Translate this phrase into an algebraic expression. The sum of 16 and twice Chrissy's savings Use the variable $c$ to represent Chrissy's savings.

Find the secant line for $f(x)=\frac{5}{x}$ at $x=4$ and $x=5$ , and the tangent line at $x=4$ .

The Tigers scored 6 runs, which is 2 times the Orioles' runs. Find the equation for the Orioles' runs, $r$ .

Find the average cost per unit for $C=-5.4 x^{2}+4900 x+190,000$ when $x=30$ . Round to the nearest cent.

Ella starts with 25 points and earns 5.5 points per visit. Write the inequality for visits $v$ to reach at least 80 points:
$25 + 5.5v \geq 80$

Change the thousands digit in 748,712 to be $\frac{1}{10}$ of the ten thousands digit. What is the new number?

Find the linear demand function $p(x)$ for a stadium with 52,000 capacity, given ticket prices and attendance data. Write $p(x)$ in slope-intercept form.

Californian rabbits in New Zealand: currently 190M, growing by 4M/year. Find: A. Equation $P(t)=mt+b$ ; B. $P(13)$ ; C. years since intro.

What is the new equation of the graph $y=f(x)$ after translating it left 7 units and up 3 units?

Find the equation of the graph after translating $y=f(x)$ left 8 units and reflecting it across the $x$ -axis: $y=$ .

Find the new equation of $y=f(x)$ after translating left 5 units, up 2 units, and stretching horizontally by 3.

Graph the function $g(x)=|x|+2$ based on the graph of $f(x)=|x|$ .

Reflect the graph of $f(x)=x^{3}$ about the $x$ -axis, shift it down 9 and right 2. Find $g(x)$ .

Graph the function $g$ by reflecting $f(x)=x^{2}$ about the $x$ -axis, then shifting up 2 and left 4. Find $g(x)$ .

8. Represent and Connect Andre wrote the expression $15(1.5 x-3)$ to represent the relationship shown in the table. Write two other expressions that represent the relationship shown in the table.

39.) Write a quadratic function in standard form that has roots of $\frac{2}{3}$ and -4 .

Find the equation for the function that is finally graphed after the following transformations are applied to the graph of $y=x^{2}$ in the order listed. a) Reflect about the $x$ -axis b) Shift up 5 units c) Shift left 2 units

1 Die Punkte $A(1|2| 1), B(-2|4| 1)$ und $C(4|1|-1)$ legen eine Ebene fest. Geben Sie für die Ebene eine a) Parametergleichung b) Koordinatengleichung an.

8. Sketch a graph where $f(4)$ does not exist but $\lim _{x \rightarrow 4} \quad f(x)$ does exist.

Write an expression for the sequence of operations described below. raise 7 to the 4th power, then divide the result by $y$ Do not simplify any part of the expression. $\square$

Graph the linear equation $y=\frac{5}{3} x$ .

Write an inequality to compare new book titles published in 2009 ( $1,487,829$ ) and 2010 ( $4,137,174$ ).

Jared made 75% of his $x$ shots, Zach made 80% of $x+10$ shots. Together they made 101 shots. Which equation fits?

A pet shop has 24 fish in 8 tanks. What multiplication fact helps find fish per tank? Use $24 \div 8$ .