8 C(n) = 14 + n a. Find the new concentration (of acid) if 1 mL of water has been added. The new acid concentration will be at %. b. What is the behavior as n → ∞ , and what is the physical significance of this?

8 C(n) = 14 + n a. Find the new concentration (of acid) if 1 mL of water has been added. The new acid concentration will be at %. b. What is the behavior as n → ∞ , and what is the physical significance of this?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter8: Polynomials

Section8.1: Adding And Subtracting Polynomials

Problem 19CYU

See similar textbooks

Related questions

Q: 2. On a college campus of 5000 students, the spread of flu virus through the student is modeled 5…

A: For all students to be infected by flu Pt=5000. So:…

Q: (3) A production manager determines that t months after production on a new product begins, 17r +131…

A: We will find out the required values.

Q: At a crime scene, a forensic technician found the body temperature of the victim was 33◦C at 6:00…

A: Given body temperature of the victim was 33°C at 6:00 p.m.One hour later, body temperature of the…

Q: A production manager determines that t months after production on a new product begins, the number…

A: We will find out the required value.

Q: The number N of bacteria in a refrigerated food is given by N(T)=20T^2-80T +500, 2<T<14 where T is…

A: Given A) The given functions are NT=20T2-80T+500, 2<T<14Tt=4t+2, 0<t<3 B) The given…

Q: 1 At 1:00 P.M., a thermometer reading 70°F is taken outside where the air temperature is - 10°F (ten…

A: Given: Thermometer was taken outside T=Ts+(To−Ts)e-kt T=-10+70+10e-kt…

Q: When a certain industrial machine has become t years old, its resale value will be…

A: Given equation is V(t)=4,800e^(-t/5) +400 Using various conditions we have to calculate the values…

Q: 11. The temperature over a 10-hour period in December in St. Paul, Minn. is given by T(t) = -ť² + 5t…

Q: The number of fish, N, in a pond is decreasing according to the model N(t)=ab−t+40, t(greater…

A: Given problem is given in form of a equation of variables. Analyze the given information. Try to…

Q: For a particular model of car, bought in 1987 for £4750, the second-hand value after t years is…

A: The price of car is decreasing each year exponentially while the running cost is increasing each…

Q: Tolits is working on a restaurant famous for its bulalo soup. His end of shift is 5:00 pm and needs…

A: We can use Newton's law of cooling/heating to answer this question. We have T(t) = Ce-kt+Ts, where…

Q: Radioactive decay can be described by the following equation In A = In Ao - kt where Ao is the…

A: Given : ln A = ln Ao- kt Ao= original amount of substance A= amount of substance…

Q: The number of new members joining MySpace each year in the period from 2004 to the middle of 2007…

Q: A certain bamboo plant was measured to be 9 inches tall on Sunday. On Wednesday, three days later,…

Q: The number of bacteria at present time t can be represented by B (t)- Boet. Calculate the initial…

A: *** This is the problem related to DIFFERENTIAL EQUATIONS and we are Advanced math expert and have…

Q: Q.1) a) If the temperature of air is 30 °C & a substance cools from 100 °C to 70 °C in 15 minutes,…

Q: The population of a slowly growing bacterial colony after t hours is given by p(t) = 5t + 34t + 200.…

A: We have to find the growth rate of bacteria in the colony after 3 hours. The solution is given in…

Q: Q1. A certain radioactive material is known to decay at a rate proportional to the amount present.…

A: Let x(t) be the amount of radioactive material which is present in milligrams after t years. Given…

Q: 43. Cooling A pitcher of buttermilk initially at 25°C is to be cooled by setting it on the front…

A: Introduction: When a body with temperature T is kept at a medium of temperature Tm, the rate of…

Q: 5. Based on sales data over the past year, the owner of a DVD D(p)-40-2p where D(p) is the number of…

A: answer is in next step. Since you have posted a question with multiple sub-parts, we will solve…

Q: Police arrive at the scene of a murder at 11 am. They immediately record the temperature of the…

A: Let T(t) be the temperature of the body at time t; take t=0 to be 11 am. We have this information.…

Q: 17. A firecracker is fired straight up into the air out of a window of a building. Its height in…

Q: The number of new members joining MySpace each year in the period from 2004 to the middle of 2007…

Q: A dead body was found within a closed room of a house where the temperature was a constant 70°F. At…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where A, is the…

A: lnA=lnAo-ktk=2.17×10-2 hours-1Ao=59.4mgt=31.7 hours put all the values and fine A=?

Q: 4. A pie is thrown upward, and its height in feet above the ground after t seconds is modeled by…

Q: A. In what year between 1850 and 2000 was the population growing at 1.8 million people per year? B.…

Q: A production manager determines that t months after production on a new product begins, the number…

A: Answer is following.

Q: 25% of the 3rd Quarter grades in Mathematics of the Grade 10 Students is less than or equal to…

A: Given information: Class number Class Boundaries Class Interval Frequency Cumulative frequency…

Q: The number of fish, N, in a pond is decreasing according to the model N(t)=ab−t+40, t(greater…

A: Here we have the decreasing model for the number of fish, N N(t)=ab-t+40 (1) where a and b…

Q: The population of a certain city t years after 2000 is given by f(t)=40,000e0.02t. a) What is the…

Q: 5. Co Deter 2. The value of a textbook is $69 and decreases at a rate of 15% per year for 11 years.…

Q: 3. The initial amount for J.W.'s new bank account is $2,500. The total amount in the bank account,…

A: Given data is : Initial amount P=$2500 A6=$4000 Amount after t years is At=25001+x12t12 Find the…

Q: For this equation is about the exponential growth and decay functions. In which rewrite…

Q: Radioactive decay can be described by the following equation In A = In Ao – kt where A, is the…

Q: (b) Solve the initial-value problem and then use a graphing utility to verify the solution curve in…

A: Given the given initial value is dNdt=N1-0.0004N N0=1

Q: (3) A production manager determines that t months after production on a new product begins, the…

A: Given: N(t)=17t2+13t2t+12

Q: You borrow $5000 today. The loan is due in 5 years, with interest at j1 = 7%. It is agreed that you…

A: Consider the given information.

Q: An animal population currently has 7400 members and is reproducing at a rate of R(t) = 2270 + 50t…

Q: At t years from now, one investment plan will be generating profit at the rate of 50 + t ^ 2…

A: Given , At t years from now, one investment plan will be generating profit at the rate of 50 + t2…

Q: The sales decay for a product is given by S= 80,000e^-0.3x, where S is the monthly sales and X is…

A: A) S(x)= 80,000(e^-0.3x) Given x= 2 S(2)= 8000×(e^(-.3*2)) S(2)= $ 4390.493089

Q: According to a study conducted in 2003, the total number of U.S. jobs (in millions) that are…

A: Given The total number of U.S. jobs (in millions) that are projected to leave the country by year t…

Q: The Kp for the reaction A (g) ⇌ 2 B (g) is 0.0430. What is Kp for the reaction 4 B (g) ⇌ 2 A (g)?

Q: f the temperature at 11:00 p.m. on Wednesday is warmer than Tuesday's temperature (-10 degrees…

A: We can form a linear equation based on the hints given in the question.

Q: (3) A production manager determines that t months after production on a new product begins, 17t?…

Q: The concentration, y, of a drug in the bloodstreamt seconds after injection into a muscle is given…

Q: A model for growth of a sandwich shop franchise is N(t)=-765+482lnt where N(t) is the number of…

A: Given:

Q: A production manager determines that t months after production on a new product begins, units…

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

A scientist has a beaker containing 20 mL of a solution containing 20% acid. To dilute the acid, she adds pur
water.
An equation for the concentration in the beaker after adding n mL of water, C(n) , is
8
C(n):
14 + n
a. Find the new concentration (of acid) if 1 mL of water has been added.
The new acid concentration will be at
%.
b. What is the behavior as n → ∞ , and what is the physical significance of this?
As n → 0 , C(n) →
?
Your explanation for the physical meaning:

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Differential Equation$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

A high school charters a bus for $560 to take a group of students to an observatory. When 8 more students join the trip, the cost per student decreases by $3.50. How many students were in the original group?
Starting with the point-slope formula yy1=m(xx1) , solve this expression for x in terms of x1,y,y1,andm .
A group of npeople decide to buy a 36,000minibus. Each person will pay an equal share of the cost. When three additional people join the group, the cost per person will decrease by 1000.Find n.
A frozen yogurt stand makes a profit of P(x) = .40x - 80 dollars when selling x scoops of yogurt per day. (a) Find the breakeven sales level, that is, the level at which P(x) = 0. (b) What sales level generates a daily profit of $30? (c) How many more scoops of yogurt will have to be sold to raise the daily profit from $30 to $40?
A baker supplies 16 croissants at a price of 1.70 each, if she's offered 1.50 for each croissant she will supply 4 fewer croissants to the cafe. cafe demand: p= -0.58x +7.2 where x is the number of croissants demanded and p is the price of croissants. Find the equilibrium point.
The number of retro portable CD players you are prepared to supply to a retail outlet every week is given by the formula: q=0.1p2+3p Where p is the price the retail outlet offers you. The retail outlet is currently offering you $40 per CD player. If the price they offer decreases at a rate of $2 per week, specifically describe how will this affect the number you supply to them?
y''=6x-4 find the general solution for the diff eq. above
A $649,000 property is depreciated for tax purposes by its owner with the straight-line depreciation method. The value of the building, y, after x months of use is given by y = 649,000 − 1800x dollars. After how many months will the value of the building be $384,400
Ezra has a base salary of $25,000 and earns 65% commission on vacuum cleaners. This means that for each vacuum cleaner he sells, he earns an additional amount that equals 65% of the price of the vacuum cleaner. To answer the following questions, use a model where S is Ezra’s total salary and v is the total dollar amount of his vacuum cleaner sales. What is the dollar amount of sales in vacuum cleaners Ezra will need to make in a year if he wants to earn $35,000? Round to the nearest cent.
Find general solution y’’ + 2y’+ y = 2e^-t (t)^-2
Z=3 A=8 NEED Step by step solution in 60 minutes.
Q3: I want a detailed solution .