A culture starts at 8600 bacteria. After one hour the count is 10,000. Find a function that models the number of bacteria n(t) after t hours. The answer is n(t) = 8600e^.1506t Where does this 0.1506 come from?

237,434 results, page 17

  1. meeting and chasing problem

    Amy and Beth live the same place which is 10 miles from the grocery store. Amy gets in her car and drives to the store at 30 miles per hour. At the same time Amy starts driving, Beth starts walking toward the store at 3 miles per hour. Amy spends 1 hour at the store, and then ...
  2. Microbio

    Can someone check my answer please? How does the antibiotic penicillin kill bacterial cells? Is it more effective against gram positive or gram negative organisms? Explain. Most bacteria produce a cell wall that is composed partly of a macromolecule called peptidoglycan, made ...
  3. math

    the function m(w)=-25w+2500 models the amount of money in a safe, in dollars, w weeks after lori learned the combination to the safe. what is the meaning of the x-intercept? A)there was 100$ in the safe when lori learned the combination<--- B)there was 2500$ in the safe ...
  4. Math

    If it takes B hours to walk a certain distance at the rate of 3 miles per hour, the number of hours it takes to return the same distance at 4 miles per hour is...?
  5. Physics

    A constant torque of 27.2 N · m is applied to a grindstone for which the moment of inertia is 0.158 kg · m2. Find the angular speed after the grindstone has made 18 rev. Assume the grindstone starts from rest. Answer in units of rad/s
  6. Math

    In one U.S. city, the quadratic function models the median, or average, age, y, at which men were first married x years after 1900. In which year was this average age at a minimum? (Round to the nearest year.) What was the average age at first marriage for that year? (Round to...
  7. algebra

    In one U.S. city, the quadratic function models the median, or average, age, y, at which men were first married x years after 1900. In which year was this average age at a minimum? (Round to the nearest year.) What was the average age at first marriage for that year? (Round to...
  8. algebra

    the spreadsheet shows the monthly revenue and expenses for a new business.use the models to predictt the month in which revenue will equal expense. month revenue expenses jan 4000 22,000 feb 9000 24,000 mar 13,000 25,000 apr 16,000 27,000 may 21,000 30,000 Would someone please...
  9. algebra

    can someone please help me with my algebra i got this as a answer and i don't know if its right. N(t)= -3t^3 + 23t^2 + 8t a. Rewrite the formula by factoring the right-hand side completely. N(t)= -3t^3 + 23t^2 + 8t N(t)= (-t)(3t^2 - 23t - 8) N(t)= (-t)(3t+1)(t-8) b. Use the ...
  10. Math

    Find the unit rate. Enter your answer as a mixed number. A fertilizer covers 5/6 square foot in 1/2 hours. The unit rate is ____ square feet per hour.
  11. algebra

    The temperature is dropping 1.5 degrees each hour after 6 hours the temperature is 38 degrees how t write this equation?
  12. MATh (check my answer please)

    A salesperson makes a flat fee of $20 per day plus $8per hour. Which equation or inequality can be used to find h, the number of hours the salesperson will have to work to make more than $60 for a day's work? F. 20h + 8 = 80 G. 8h + 20 < 60 H. 8h + 20 = 60 J. 8h + 20 > ...
  13. 10th grade

    Two ships leave a harbor at the same time, traveling on courses that have an angle of 140 degrees between them. If the first ship travels at 26 miles per hour and the second ship travels at 34 miles per hour, how far apart are the two ships after 3 hours?
  14. Algebra

    The height of an object after it is released can be modeled by the function f(t)=-16t^2+vt+s, where t is the n? The height of an object after it is released can be modeled by the function f(t)=-16t^2+vt+s, where t is the number of seconds after the object is released, v is the...
  15. personal finance concepts

    Please answer these questions: A. After a protracted legal case, Joe won a settlement that will pay him $11,000 each year at the end of the year for the next ten years. If the market interest rates are currently 5%, exactly how much should the court invest today, assuming end ...
  16. Calculus

    A snowball has a radius of 3 inches. Assume the rate with which the volume of the snowball melts is proportional to its surface area. If, after 1 hour, the radius of the snowball is 2.9 inches, predict what the radius will be after one day. using separation of ordinary ...
  17. calculus

    In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the function: T(t)= 70 + 19sin((pi*t)/12). What is the temperature at 3 pm?
  18. math

    Deshawn has five base-ten blocks. She models a number that is less than 999. The number she models has a zero in tens place and a zero in the ones place. What number is she modeling?
  19. Algebra 2

    Find the distance between the points (12, 8) and (4, 2). 100 units 14 units 10 units –10 units Find the midpoint of the points (3, 1) and (7, –5). (1, 6) (2, 1) (2, –3) (5, –2) Find the vertex and focus of the parabola whose equation is 4y = x2 + 4. V(0, 4), F(0, 3) V(...
  20. Math- Multi-step word problems

    A plane traveling from Phoenix to Washington, D.C with a tailwind of 20 miles per hour takes 3 hours. The return trip in the same wind, which is now a headwind, takes the same plane 3 hours and 12 minutes. What is the average speed of the plane in calm conditions? 600 miles/...
  21. 3rd Math fraction answer conflict

    A scarf is knitted at a rate of 3/7 inch per half hour. How much length is added to the scarf in a 6 hour period? This needs a set up for a 3rd grader just starting with fractions. I showed her this: 3/7 inch in a half hour, so 6/7 of an inch in an hour. So, 6/7 x 6 = 36/7 ...
  22. math

    Micah walks on a treadmill at 4 miles per hour. He has walked 2 miles when Luke starts running at 6 miles per hour on the treadmill next to him. If their rates continue, will Luke's distance ever equal Micah's distance? Explain. *At 5 hours Luke will run 30 miles and at 8 ...
  23. Math

    Suppose that the amount of algae is a pond doubles every 3 hours. If the pond initially contains 70 pounds of algae, how much algae will be in the pond after 9 hours? Is the answer 560? I was not sure how to set it up, but doubled it every 3 hours. If this is not correct, ...
  24. Algebra

    A stagecoach left Drygulch traveling east at 3 km per hour. Two hours later, another stagecoach left Drygulch traveling in the same direction at 40km per hour, How many hours had the first one been traveling when the second one caught up?
  25. Physics

    A car moves with 60km/h in first one hour and with 80km/h in next half an hour. Find 1. Total distance travelled by the car. 2. average speed of car in total 1.5 hours.
  26. Statistics

    A certain type of lightbulb is advertised to have an average lifetime of 1,000 hours. Assume the lifetimes of these lightbulbs are approximately normally distributed with a standard deviation of 250 hours. A) Find the percentage of lightbulbs that will fail during their first ...
  27. algebra

    Video game company hires gamers to test a new adventure game. The number of levels completed by an average gamer is given by L = 60/(3+17e^-0.1t) where L is the number of levels completed after t hours of playing. a) How many levels is a gamer expected to be able to complete ...
  28. statistics

    In a random sample of 50 babies 4 to 7 month old the average number of hours they slept per day turned out to be 14.2 hours with a standard deviation of 1.6 hours find and interpret a 90% confidence interval for the mean number of hours slept by babies at this age
  29. statistics

    In a random sample of 50 babies 4 to 7 month old the average number of hours they slept per day turned out to be 14.2 hours with a standard deviation of 1.6 hours find and interpret a 90% confidence interval for the mean number of hours slept by babies at this age
  30. MATH

    Terry has completed 15 homework problems, and Susan has completed 9. Terry is completing 10 problems per hour, and Susan is completing 12 per hour. After how many hours will Terry and Susan have completed the same number of problems? a. 3 hrs**** b. 4 hrs c. 5 hrs d 10 hrs
  31. math help

    The temperature at 1:00 pm on Tuesday was -13C. There was an increase of -6 per hour starting at 1:00 pm. Which of the following best represents the Celsius temperature n hours after 1:00 pm on Tuesday?
  32. Trigonometry

    11. If a navigation error puts a plane 2.5° off course, how far off course is the plane after flying for 2 hours at 152 miles per hour?
  33. Algebra

    The height h in feet of an object after t seconds is given by the function h=-16t^2+70t+5. How long will it take the object to hit the ground? Round your answer to the nearest thousandth. If that is the function, you need to have a value for the height to find the time. I hope...
  34. Word problem

    . A catapult launches a boulder with an upwark velocity pf 184 feet per second. the heigh of the boulder in feet after t seconds is given by the function h(t)=-16t^2+184t+20. how long does it take the boulder to reach its maximum height? What is the boulders maximum height? ...
  35. Business Math

    a) You have N$ 10,000 to invest, which you want to grow to N$ 100,000. If the bank offers you an interest rate of 6% p.a. compounded monthly, how long must you invest the money for (in months or years)? Round your answer to one decimal place. b) Instead of investing N$ 10,000...
  36. introductory Facts and concepts

    On page 111 of your reading material there is a problem that requires you to calculate the average speed for a daylong bus trip. The rest stops the driver made are included in the calculations because that is how the problem is defined. However, suppose the bus driver’s ...
  37. Math

    Linda works at a pharmacy for $15 an hour. She also babysits for $10 an hour. Linda needs to earn at least $90 per week, but she does not want to work more than 20 hours per week. Show and describe the number of hours Linda could work at each job to meet her goals. List two ...
  38. Math

    The element strontium-90 is radioactive. The percent of strontium -90, A(t), left in a sample can be modelled by the half-life function A(t) = A0 (1/2)^t/29, where t represents the time, in years, after the initial time, and A0 represents the initial amount, 100% of the ...
  39. Finite Math

    11. As part of a weight reduction program, a man designs a monthly exercise program consisting of bicycling, jogging, and swimming. He would like to exercise at most 38 hours, devote at most 3 hours to swimming, and jog for no more than the total number of hours bicycling and ...
  40. Math

    "A tank holds 1000L of water, which takes an hour to drain from the bottom of the tank, then the volume V of water remaining in the tank after t minutes is: V = 1000(1-(t/60))^2 where t is between 0 and 60 inclusive. Find the rate at which the water is flowing out of the tank...
  41. math- help again please

    An employee earns $7.00 and hour for the first 35 hours worked in a week, and $10.50 for any hours over 35. One paycheck (before deductions) was for $308.00.How many hours did the employee work? Let t denote the overtime hours. Then you know that if the employee made more than...
  42. MATH PLESE

    A $2,000 deposit at an APR of 5.4% with quarterly compounding for 8 years. The amount after 8 years ?? I need to find what the amount would be after 8 years please help
  43. physics

    The mass of a rocket car plus fuel is 2,000 kg. The rocket car starts from rest. The engine expels fuel (in the form of exhaust) over a period of 8 seconds. The exhaust has a velocity of 1,000 m/s due west, and the velocity of the rocket after 8 seconds is 90 m/s due east. How...
  44. Algebra

    In an assembly line of a factory, which produces networking switching hubs, two robots are utilized. The first one (A) is able to produce 40 microchips per hour, whereas the second one (B) produces 30 microchips per hour. For a total production of 400 microchips, the two ...
  45. Math help

    A catapult launches a boulder with an upwark velocity pf 184 feet per second. the heigh of the boulder in feet after t seconds is given by the function h(t)=-16t^2+184t+20. how long does it take the boulder to reach its maximum height? What is the boulders maximum height? ...
  46. Algebra2

    The water level varies from 12 inches at low tide to 52 inches at high tide. Low tide occurs at 9:15 am. High tide occurs at 3:30 pm. What is a cosine function that models the variation in inches above and below the water level as a function of time and hours since 9:15 am? My...
  47. Math

    Susan finished typing 1/9 of an article in the first houe and finished 1.4 of the remaining in the second hour. she then typed 2.3 of the leftover from the first two hours in the third hour. left over from the first hour= fraction of article typed on 2nd hour= leftover from ...
  48. ??

    why do you times 8.6x1.5x8? where does the 8 come from? You said the employee worked 48 hours in a week, right? 40 hours were paid at his regular rate ($8.60/hour or 8.6), and the extra 8 hours (overtime) were paid at time and a half (8.6 x 1.5). Once you know what the ...
  49. Science

    I have some equations that I would like checked. Thanxs! 1. An automobile starts from rest and accelerates at 3m/s2 for 4 seconds. How fast is it going after acceleration? 3m/s^2 / 4 = .75 m/s 2. If an automobile travels at 30 km/hr. for 2 hours, how far does it go? d=(30 km/...
  50. math

    Robert has two watches, one which loses 6 seconds every 24 hours and one which gains 1 second per hour. He sets both of them to the correct time at 6 : 00 p.m. How many hours will pass before the positive difference between the time shown on both watches is 4 hours?
  51. Calculus

    The rate at which water flows into a tank, in gallons per hour, is given by a differentiable, increasing function R of time t. The table below gives the rate as measured at various times in an 8-hour time period. t (hours) 0 2 3 7 8 R(t) (gallons per hour) 1.95 2.5 2.8 4 4.26 ...
  52. Math

    4 students did work for me making $5 an hour working 6 hours a day for 12 weeks. 1 student worked for 4 weeks and one student quit after 8 weeks. 2 students worked 12 weeks. What is the total amount for all students?
  53. Math

    A physician ordered 1 L of D-10-1/2 NS to infuse over 10 hours. How many grams of Dextrose would the patient receive per hour? I answer like this D10 = 10g/100 ml 1 L= 1000 mL 10 g/100 mL= x/ 1000 mL 100x= 1000x10 x= 10,000/100 x= 100 g over 10 hours 100g/10 hr = x/1 hr 10x= ...
  54. physics

    In a 25 degree C room, hot coffee in a vacuum flask cools from 72 degree C to 54 degree in 8 hours.Find its temperature after another 8 hours.
  55. Linear Algebra

    A company separates iron, zinc, and kryptonite from ore by the floatation separation process, which has three steps: oiling, mixing, and separation. These steps must be applied for 4, 5, and 1 hour respectively to produce one unit of iron; 4, 4, and 1 hour respectively to ...
  56. History

    what does the root distribution within the prairie ecosystem cause? A. The fertile soil underground. B. food for bacteria and organisms C. The variety of grass species D. All of the Above PLEASE HELP Me Connexus quiz My answer is D tell me if im wrong let me know what it ...
  57. Algebra

    A can of soda is placed inside a cooler. As the soda cools, its temperature T(x) in degrees Celsius is given by the following exponential function, where is the number of minutes since the can was placed in the cooler. T(x)=-22+44e^-0.03x Find the initial temperature of the ...
  58. how to start your own daycare basic steps

    off the folowing models of education which one is more in use than all the other models combined a.developmental -interaction b.eclectic or traditional c.behavior learning my answer is b
  59. math

    country A has a growth rate of 3.8% per year. The population is currently 5,592,000 and the land area of country A is 14,000,000,000 sq yds. Assuming this growth rate continues and is exponential, after how long will there be one person for every sq yd of land?
  60. Math Models

    The scores on a standardized test are normally distributed with the mean of 750 and standard deviation 70. Find the probability that a score is more than 890. This is from my Math Models class. I am not taking Statistics. Please someone show me how to do answer this-I don't ...
  61. math check please

    would some please check this for me. An important fact to consider is that a person needs to burn off 3,500 calories to lose 1 pound. The following table shows the number of calories burned per hour (cal/h) for a variety of activities, where the figures are based on a 150-...
  62. Mathematics

    Hello, I am currently computing the "efficiency index" of an iterative method, given by this formula E = p^(1/m), where p is the order of the method and m is the number of functional evaluation of the iterative method. However, i do not know how to compute or count the number ...
  63. Biology

    For one of our lab sessions, we had to isolate DNA from E. Coli bacteria. During one of the steps in the isolation process, we had to use SDS(Sodium lauryl sulfate) at 60°C. One of the questions was: Why do we use SDS, and why at this temperature. I already found out that SDS...
  64. Math - AP Calculus

    The rate at which water flows into a tank, in gallons per hour, is given by a differentiable, increasing function R of time t. The table below gives the rate as measured at various times in an 8-hour time period. t (hours) 0 2 3 7 8 R(t) (gallons per hour) 1.95 2.5 2.8 4 4.26 ...
  65. probability

    The life of a certain type of device has an advertised failure of rate .01 per hour. The failure rate is constant and the exponential distribution applies. (a)What is the mean time to failure? (b)What is the probability that 150 hours will pass before a failure is observed? (c...
  66. math

    two men worked 8 hours each and they built 32 frames for sheds. what is the productivity or output per hour add ______ hours hours+_____ hours here ______ hours
  67. Calculus

    Find an overestimate and underestimate that the bug crawls during an hour v= 1 / [2+t]? For time, t, in hours, 0 <= t <= 1, a bug is crawling at a velocity, v, in meters/hours given by v = 1 / [2+t]. Use delta t = 0.2 to estimate the distance that the bug crawls during ...
  68. math,correction

    An employee who produces x units per hour earns an hourly wage of y= (0.95)x + 10. (in dollars). Find the hourly wage for an employee who produces 8 units per hour. i just plug in to the formula where x is i put 8 and the answer i got for it after solving was $17.60 correct
  69. statistics

    8. A survey was conducted to learn about the shopping preference of consumers during the holiday season. Out of 2000 respondents 22% said they would prefer to shop online because of the free shipping offered; 45% said that they would like to shop in malls and discount outlets ...
  70. Math

    A positive integer n is defined as a "prime interlude" if n-1 and n+1 are both prime numbers. Which of the following is not a "prime interlude?" a.4 b.18 c.30 d.72 e.90 ( First of all; What is a "prime interlude??") I don't understand the question and don't know which answer ...
  71. science

    explain how the physiological process of movement differs among bacteria, grasshoppers, fish, bears.
  72. biology

    Will the bacteria that absorded the recombinant plasmid be able to survive in an environment that contains tetrachycline? Ampicillin?
  73. micro biology

    what would a spore former (bacteria) look like if you forgot the safranin stain?
  74. biology

    Rank these from largest to smallest, bacteria, organelle, cell, atom, virus, protein, molecule
  75. Anatomy and Physiology

    tetanus bacteria fester in deep, dark wounds, but how do they travel in neural tissue
  76. Anatomy and Physiology

    tetanus bacteria fester in deep, dark wounds, but how do they travel in neural tissue
  77. bio

    what affect would a very short generation time, such as that of bacteria, have on speciation?
  78. Science

    Which of the following would typically contain ribosomes? (a) fungi (b) bacteria (c) Archeae (d) viruses (e) prions
  79. Biology

    Describe how the location of each part of the cellular respiration is diffrent in bacteria and in more complex cells?
  80. Microbiology

    What organic molecule is necessary to detect mixed acid fermentation by bacteria? (IMViC Tests)
  81. Biology

    Discuss the common bacteria pathogens which are the most prevalent in causing disease in these three organs.
  82. science

    in a compost bin insects bugs,slug,bacteria,fungi,and worms help to ________ biomass?
  83. Physics

    A car traveling at a constant speed of 33.4 m/s passes a trooper hidden behind a billboard. One second later the trooper starts the car with a constant acceleration of 3.28 m/s2 How long after the trooper starts the chase does he overtake the speeding car
  84. Physics

    A car traveling at a constant speed of 33.4 m/s passes a trooper hidden behind a billboard. One second later the trooper starts the car with a constant acceleration of 3.28 m/s2 How long after the trooper starts the chase does he overtake the speeding car
  85. Physics

    A car traveling at a constant speed of 33.4 m/s passes a trooper hidden behind a billboard. One second later the trooper starts the car with a constant acceleration of 3.28 m/s2 How long after the trooper starts the chase does he overtake the speeding car
  86. Physics

    A car traveling at a constant speed of 33.4 m/s passes a trooper hidden behind a billboard. One second later the trooper starts the car with a constant acceleration of 3.28 m/s2 How long after the trooper starts the chase does he overtake the speeding car
  87. Physics

    A car traveling at a constant speed of 33.4 m/s passes a trooper hidden behind a billboard. One second later the trooper starts the car with a constant acceleration of 3.28 m/s2 How long after the trooper starts the chase does he overtake the speeding car
  88. Physics

    A car traveling at a constant speed of 33.4 m/s passes a trooper hidden behind a billboard. One second later the trooper starts the car with a constant acceleration of 3.28 m/s2 How long after the trooper starts the chase does he overtake the speeding car
  89. physics

    A car traveling at a constant speed of 33.4 m/s passes a trooper hidden behind a billboard. One second later the trooper starts the car with a constant acceleration of 3.28 m/s2 How long after the trooper starts the chase does he overtake the speeding car
  90. math

    how are 2 hours and the distance traveled in 2 hours represented in the table?how are they shown on the graph?ps....make a table and a graph.... Set up x and y axis, then chart the progress. kk but wats the answer after that
  91. math

    Peter played his favorite video game for 10 hours last week. Today, Peter's parents restricted him to 5 additional hours each week for the next 8 weeks. Create the function, f(x), that models Peter's total video game time? Is it f(x)=5x + 10 or f(x)=5x + 8 or f(x)=5x. Those ...
  92. chemistry

    if someone has a blood sugar number of 200 after 12 hours of fasting, what would you tell the patient?
  93. Math Demand Functions

    Given the function q=D(x)=k/x^n where k is a positive constant and n is an integer greater than 0. How would you find the elasticity of the demand function After you find the der. what do you do?
  94. 11th grade math

    Suppose you earn $7.21 per hour and plan to work "h" hours per week. write an expression using variables that models the amount of money you will earn each week. Then, suppose you earn $10 in tips per week, regardless of the hours you work. How does this change the equation
  95. managerial accounting

    The Joyner Corporation originally budgeted for $360,000 of fixed overhead. Production was budgeted to be 12,000 units. The standard hours for production were 5 hours per unit. The variable overhead rate was $3 per hour. Actual fixed overhead was $360,000 and actual variable ...
  96. college

    The Joyner Corporation originally budgeted for $360,000 of fixed overhead. Production was budgeted to be 12,000 units. The standard hours for production were 5 hours per unit. The variable overhead rate was $3 per hour. Actual fixed overhead was $360,000 and actual variable ...
  97. Math

    Alice has two part-time jobs. One job she makes 8 dollars per hour and the other she makes 12 dollars per hour. One week she made worked 30 hours and made 268 dollars. How many hours at each job?
  98. 4th grade math

    roxy spends 1/5 hour cleaning the table 3/10 hours washing dishes, and 4/5 hour reading a book. How many hours does she spend doing all these activities?
  99. World Geography

    Hello! Thanks for checking my question out! ____ 3. Which of the following best describes the difference between Western and Eastern cultures? (1 point) a) Western culture is linked to traditionalism while Eastern culture is linked to industrialization. b) Western culture is ...
  100. Math

    Rachel sent or received 10,290 text messages in the month of September. If each text message over the first 150 messages cost 8 cents, what was her texting bill? Explain how you got your answer. Assuming that she slept 7 hours each day, what was the average number of text ...
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