# 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?

237,516 results, page 34

1. ### Math help

19.   Jim paddles from one shore of a lake three miles wide at 4 mph, and John paddles from the opposite shore at 5 mph. How long will they travel before they meet?       A. 20 minutes B. 27 minutes C. 1 hour, 24 minutes D. 3 hours  Jim is 1 mile away from John,so...
2. ### intro to computer programming

I need help with my Java homework! Write a program that calculates a customer's monthly bill. It should ask the user via dialog box to enter the letter of the package the customer has purchased (A, B, or C) and the number of hours that were used. It should then display the ...
3. ### lambton

A rotating flywheel of diameter 48.0 cm uniformly accelerates from rest to 240 rad/s in 15.0 s. Find the linear velocity of a point on the rim of the wheel after 15.0 s. Round answer to one decimal place.
4. ### Math

Okay .. did you see my last answer? I think it is 5 But now I have another one and I think I know the answer but there is a trick question at the end. Maybe you can tell me if it is a trick or if it something I am missing. A golf classic starts with 64 golfers. The golfers ...
5. ### maths

All positive integers, one after another, are written in a form of a spiral 7 8 9 10 6 1 2 11 5 4 3 12 .. 15 14 13 where does the number 2009 appear with respect to 1? (For example, 12 appears one unit down and two units to the right of 1)
6. ### math

all positive integers, one after another, are written in a spiral way: 7,8,9,10 6,1,2,11 5,4,3,12 ...,15,14,13 where does the number 2009 appear with respect to 1/ FOR EXAMPLE, 12 APPEARS one unit down and two units to the right of 1
7. ### math

A particle moves on a straight line. The velocity after t seconds is given by V= 3t^2 – 6t – 8. The distance of the particle from the origin after one second is 1o meters. Calculate the distance of the particle from the origin after 2 seconds.
8. ### Java

You are to create an efficient OO application to be used by the wait staff at the Mason Inn. You will process one waiter/waitress at a time. The user will provide information for him or her, to include: their name, number of hours worked and hourly wage. Additional information...
9. ### Maths!

There has just been a planetary alignment of five planets in the system Blogg, all the astrologers have gone loopy, and they want to know when the next occurance of these five planets will happen again. Krypton the nearest planet to the sun takes 6 days to orbit the sun. Zenon...
10. ### statistics

Before 33 33 38 33 35 35 40 40 40 31 After 34 28 25 28 35 33 31 28 35 33 Ten different families are tested for the number of gallons of water per day they use before and after viewing a conservation video. Construct a 90% confidence interval for the mean of the differences.
11. ### MATH HELP ASAP

Levi earns \$6.25 per hour working after school. He needs at least \$143.75 for a stereo System how many hours h does he need to work to reach his goal? A) h/ 6.25 > 143.75;h> 23;23hours*** B) 6.25h(<underlined)143.75;h (< underlined) 23;23hours C)h/6.25< 143.75;h...
12. ### Math

Help on, what is this in word form. \$10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000. I need to know like 1 Million, trillion?

In a Broadway performance an 80.0 kg actor swings from a 2.05 m long cable that is horizontal when he starts. At the bottom of his arc he picks up his 47.0 kg costar in an inelastic collision. (a) What is the velocity of the swinging actor just before picking up the costar? (b...

In a Broadway performance an 80.0 kg actor swings from a 2.05 m long cable that is horizontal when he starts. At the bottom of his arc he picks up his 47.0 kg costar in an inelastic collision. (a) What is the velocity of the swinging actor just before picking up the costar? (b...

please check my answer thanks I need to write at least one paragraph regaurding this Urinalysis is a very commo diagnostic test. Describe and name the poddible abnormal results related to the test.. indicate the disorders tha these abnormal test results may sugguest. My answer...
16. ### math(help)

please help me and answers these i feel clueless!with this math 2.If Nell works 3/4 of an hour on Monday and 6/10 of an hour on Tuesday, how much time will she work altogether? A.9/14 hour B.9/20 hour C.1 7/20 hour D.1 7/10 --------------------------- 3.eric eats 1/6 of an ...
17. ### College Algebra

Value of Computer Software The value V, in dollars, of a shopkeeper's inventory is software program is given by V=-50t + 300, where t is the number of years since the shopkeeper first bought the program. SHOW YOUR WORK for a and c. a) Find the value of the software after 0 ...
18. ### maths

kelvin and smith are incharged of counting people who gets of the lift they turn riding to floor an dback down counting as a go sfter two such trips each morning and two in evening their is an avarage taken the hotel manager wants tono the days avarage (a) on smith noor trips ...
19. ### Math - Derivative of a polynomial function

A flaming arrow is shot into the air to mark the beginning of the a festival. Its height, h, in meters after t seconds can be modelled by the function h(t)=-4.9t^2+24.5t+2 How fast is the arrow traveling when it hits the ground? Explain how you arrived at your answer. (prior ...
20. ### Anatomy and Physiology

A woman who recently came home from a tropical vacation now has abdominal pain and diarrhea. Her blood test results show an elevated eosinophil level. Which organism is most likely the cause of her illness? A. Bacteria B. Virus C. Fungus D. Parasite I got D
21. ### math

A population of 240 birds increases at a rate of 16% annually. Jemel writes an exponential function of the form f(x) =abx to represent the number of birds after x years. Which values should she use for a and b?
22. ### Calculus

The concentration of a certain drug (in mg/cm3) in a patient's bloodstream t hr after injection is given by the following function. C(t) = (0.6 t)/(t^2 + 5) Evaluate the limit. (If an answer does not exist, enter DNE.)
23. ### English

Thank you for your help. 1. He will be back after a few days. 2. He was back after a few days. ----------- In the past tense, do we have to use 'after' as in Sentence 2? What about Sentence 1? I used 'after' instead of 'in.' Is this sentence grammatical? Do we have to ...
24. ### physics (Urgent)!!!!!!!!!!!!!!!!!!!!!!

Consider a rocket in space that ejects burned fuel at a speed of vex= 1.5 km/s with respect to the rocket. The rocket burns 8 % of its mass in 280 s (assume the burn rate is constant). (a) What is the speed v of the rocket after a burn time of 140.0 s? (suppose that the rocket...
25. ### Math

I'm so confused on distance formula, I know how to calculate it, but getting the final simplified answer is so confusing. Like so on some equations the final answer is just a regular whole number, others is a number with a square root like 3 -/2, or a number square rooted -/3 ...
26. ### Math

H(x)= 0.002x^2+0.005x-0.029 where x is the speed of the car in miles per hour. How can I rewrite the function so that x represe the speed in kilometers per hour. [Find H(x/1.6)]

Some bacteria are propelled by motors that spin hair-like flagella. A typical bacterial motor turning at a constant angular velocity has a radius of 1.9x10-8m, and a tangential speed at the rim of 2.7x10-5 m/s. (a) What is the angular speed (the magnitude of the angular ...
28. ### math

a plumber charges \$25 for service call plus \$50 per hour what is the cost 8 hours? What is 10 hours?
29. ### Math

An athlete prepares for the Comrades. He jogs out to a certain point and then turns back home. On the first day he turns after 6m.on the second day he turns after 10km. On the third day he turns after 14km. 1.after how many kilometres does he turn on the 7th day? 2.On which ...
30. ### geometry

A ship leaves port and heads due east at a rate of 32 miles per hour. Ever since the ship left port, it has been pushed south by a strong constant wind. Five hours after leaving port, the ship is 200 miles away. What is the effective push on the ship from the wind?
31. ### math

The volume of a cone is 190 in3. Find a function that models the height h of the cone in terms of its radius r.
32. ### Math

In chess, a knight can move either two squares horizontally plus one vertically or two squares vertically plus one horizontall. a) If a knight starts from one corner of a standard 8*8 chessboard, how many different squares could it reach after i) one move? ii) two moves? iii) ...
33. ### Math

A restaurant is open from 1 pm to 1 am on Saturday and a maximum of 140 people are allowed inside. If f(t) is the number of people in the restaurant t hours after 1 pm on Saturday, what is a reasonable domain and range for y=f(t)?
34. ### calculas

The function f(x)= (8x-7)e^2x has one critical number. Find it
35. ### calculus

The function f(x) = (7 x+9)e^{-2 x} has one critical number. Find it.
36. ### annual salary

What is the formula to determine someone's annual salary given only the hourly wage? For example, if someone works full time for \$20 per hour, how much does he earn in a year? A friend of mine told me the formula before; it's really simple. I just forgot it. Thanks! If you ...
37. ### math

number of people who hear a rumor after t hours is N(t) = 2000/ 1 + 499e^-0.3t How long will it take for 200 people to hear the rumor?
38. ### chemistry

A jogger runs at an average speed of 5.9 mi/h. If she starts a run at 11:15 am, what time is it after she covers 4.75 x 104ft?
39. ### physics

a body is moving with uniform acceleration of 10m/s2.if it starts from rest calculate its displacement after 5s
40. ### physics

a body is moving with uniform acceleration of 10m/s2.if it starts from rest calculate its displacement after 5s
41. ### biology

If a particular experiment were known to have a transformation efficiency of 3 x 10^3 bacteria/µg of DNA, how many transformant colonies would be expected to grow on the LB/amp/ara plate? You can assume that the concentration of DNA and fraction of cells spread on the LB agar...
42. ### Calculus

If water is lost at 20ft^3/day when W= 10,000 ft^3 then the leakage rate constant in the differential equation is 20/10,000 or 0.002. Suppose that water flows in at F= 200,000 ft^3/day. How much water would you predict in the lake after 100 days?\ W = Ce^(-kt)
43. ### Accounting

If you invest \$50,000 to earn 8% interest, which of the following compounding approaches would return the lowest amount after one year? a. daily b. monthly c. quarterly d. Annually

Donna invested her \$33,000 bonus and received a total of \$970 in interest after one year. If part of the money returned 4% and the remainder 2.25%, then how much did she invest at each rate
45. ### math

A consultant traveled 7 hours to attend a meeting. The return trip took only 6 hours because the speed was 10 miles per hour faster. What was the consultant's speed each way? Rachel earns \$6000 less than twice as much as Tom. If their two incomes total \$48,000, how much does ...
46. ### m

A machine costs \$40,000, has a salvage value of \$8,000, and is expected to have a useful life of 100,000 hours. I
47. ### algebra/math

i know this is probably a really simple answer and i'm gonna want to hit my head on a wall after i get it, hopefully, but how would i find a unit rate and then simplify it, if possible? like, 3 pages/5 hours? like the directions just say to write as a rate in simplest form......
48. ### Math 2

The middle school band has 56 members. The high school band has 96 members. the bands are going to march one after the other in a parade. the director wants to arrange the bands into the same number of columns. What is the greatest number of columns in which the two bands can ...
49. ### math

The middle school band has 56 members. The high school band has 96 members. the bands are going to march one after the other in a parade. the director wants to arrange the bands into the same number of columns. What is the greatest number of columns in which the two bands can ...
50. ### Data Analyse

Question 1 Production Rates A manufacturing company wishes to estimate the number of items that its workforce can produce on average each hour now that they have a new machine. The factory examined the records for a random sample of 8 hours over the past month. The hourly ...
51. ### math

tow people begin walking from the same point at the same time. One walks due south at 3 mph and the other walks southeast at 4 mph. Approximately how far apart are the two after one hour walking?
52. ### Calculus

The weekly demand for the Pulsar 25-in. color console television is given by the demand equation p = -0.03 x + 571\ \ \ \ \(0<=x<=12,000\) where p denotes the wholesale unit price in dollars and x denotes the quantity demanded. The weekly total cost function associated ...
53. ### Managerial econ 1

1)The Midnight hour, a local nightclub, earned \$100,000 in accounting profit last year. This year the owner, who had invested \$ 1 million in the club, decided to close the club. What can you say about economic profit (and the rate of return)in the nightclub business? ANSWER: ...
54. ### math115

The management of a company is negotiating with a union over salary increases for the company's employees for the next 5 years. One plan under consideration gives each worker a bonus of 1200 dollars per year. The company currently employs 1055 workers and pays them an average ...
55. ### Precalc Help!

The concentration C of a chemical in the bloodstream 't' hours after injection into muscle tissue is given by: C=(3t^2+t)/(t^3+50) where t≥0 What is the rate of change over the interval [0,4]? What is the rate of change over the interval [4,8]? What is the horizontal ...

An eastbound train and a westbound train meet each other on parallel tracks heading in opposite directions. The eastbound train travels 12 miles per hour faster than the westbound train. After 1.5 hours, they are 174 miles apart. At what speeds are the two trains traveling? ...
57. ### Science

A Family travels 200 km in two hours and 20 min .then they stop to eat lunch.After lunch they travel 300 km In Two 3 Hours and 40min.What is the average speed during the entire trip?
58. ### Precalc

1) Janet is offered a job with a starting salary of \$15,000, and a guaranteed annual increase of \$600. If she takes the job, what will be her guaranteed salary for the 10th year? What would her total earnings be for the first 10 years? Answer: \$21,000 ; \$ 198,000 2) Sue's aunt...
59. ### algebra

Rachel allows herself 1 hour to reach a sale appointment 50 mile s away. After she has driven 30 miles, she realizes that she must increase her speed by 15 miles per hour in order to get there on time. What was her speed for the first 30 miles?
60. ### Math

You arrive home to find that your 45 foot by 20 foot basement has 3 inches of water in it. A) If 1 cubic foot of water is about 7.48 gallons, how much water will you be pumping out of your basement? Express your answer rounded to the nearest tenth of a gallon. gallons B)If you...
61. ### math

a new automobile depreciated 20% of its value after 1 year. if the automobile is priced at \$18,000 after 1 year, what was its cost when it was new?
62. ### math

Marco is studying a type of mold that grows at a fast rate. He created the function f(x) = 345(1.30)^x to model the number of mold spores per week. What does the 1.30 represent? How many mold spores are there after 4 weeks? Round your answer to the nearest whole number A.1.30 ...
63. ### calculus

The height (in feet) of a skydiver at time t (in seconds) after opening his parachute is given by h(t) = 4000 – 19t. Find the skydiver's velocity after the parachute opens. The answer should be in feet per seconds. I would appreciate if somebody helps.... Thank you.
64. ### physics

a car of mass 'm'starts from rest and is driven with constant power.after some time it covers a distance 'x'.what should be the speed of car?how we can find the speed of car?
65. ### math

Stewart is playing a video game. He earns the same number of points for each prize he captures. He earned 1,200 points for 6 prizes, 2,000 points for 10 prizes, and 2,600 points for 13 prizes. Which is the dependent variable in this situation? A)the number of prizes captured B...
66. ### math

please check my answer thanks :) What is Eric's gross pay , including overtime and double time He earns \$9.24 per hour He gets time and a half for over time and double time for work on Saturday He worked 52 hours this week, with 8 hours overtime and for hours on Saturday \$9.24...
67. ### Physics

You and your friend are practicing pass plays with a football. You throw the football at a 35.0° angle above the horizontal at 19.0 m/s. Your friend starts right next to you, and he moves down the field directly away from you at 5.50 m/s. How long after he starts running ...
68. ### algebra 2

Two snow resorts offer private lessons to their customers. Big Time Ski Mountain charges \$5 per hour plus \$50 insurance. Powder Hills charges \$10 per hour plus \$30 insurance. For what number of hours is the cost of lessons the same for each resort?
69. ### math

one fifth of my life I wanted to become a teacher. 3/25 of my life I was a teenager. 9/25 of my life I was married to my husband. Three-fifth of my life my son was born. Fifteen years after that, my daughter was born. Seven years after that I got a divorce from my husband. ...
70. ### Calculus

A particle moves on a line away from its initial position so that after t hours it is s = 6t2 + 2t miles from its initial position. Find the average velocity of the particle over the interval [1, 4]. Include units in your answer. I started by taking the derivative of s(t) but ...
71. ### assembler language

write an assembly language subordinate count according to these specs: accepts a pointer to an array or signed words in register X. Accepts a word value in register Y, which indicates the number of array elementsl Returns the number (i.e. count) of nonzero array elements in ...

A list of numbers represents the following pattern: For each number after the first, multiply the previous number by itself, and then subtract that number. Which list does NOT represent that pattern? A. 1,1,1,1, and so on B. 2,2,2,2, and so on C. 3,6,30,870, and so on D. 4,12,...
73. ### Math

kyle just started a new job that pays \$7 per hour. He had been making \$5 per hour at his old job. Kyle worked a total of 54 hours last month and made \$388 before deductions. How many hours did he work at his new job?
74. ### Math

kyle just started a new job that pays \$7 per hour. He had been making \$5 per hour at his old job. Kyle worked a total of 54 hours last month and made \$388 before deductions. How many hours did he work at his new job?
75. ### math

Car Insurance Use the histogram below to answer the following questions. a)How many students were surveyed? b)What are the lower and upper class limits of the first and second classes? c)How many students have an annual car insurance premium in the class with a class mark of \$...
76. ### Math

Help meh please Check my answers I suck at dis 1. 4y+3≤y+6 Answer=y≤3 2. -2y>2 Answer=y<-1 3. y/3<-1 Answer=y<-3 4. 3y≤2y+3 Answer= y≤1 5. Sari has to read a book for English class by the end of the week. She wants to read at least 200 pages in the first 5 ...
77. ### Math

An automated production line uses distilled water at a rate of 300 gallons every 2 hours to make shampoo. After the line had run for 7 hours, planners noted that 2,500 gallons of distilled water remained in the storage tank. Write a linear equation relating the time in hours x...
78. ### algebra

A can do certain task in 8 hours, B in 10 hours and C in 12 hours. How long will it take to do the task if A and B work 1 hour and then A and C finish the task?
79. ### math word problem

Here's the latest from the UMW math department: Andy drove from Richmond to Boston at an average speed of 50 miles per hour. If it took 5 hours to drive from Richmond to Philadelphia at an average speed of 70 miles per hour and if the whole trip took 13 hours, how far is it ...
80. ### Math (Truly Need Help)

H(x)= 0.002x^2+0.005x-0.029 where x is the speed of the car in miles per hour. How can I rewrite the function so that x represe the speed in kilometers per hour. [Find H(x/1.6)]
81. ### Physics

A bus started out going 20 miles per hour on the highway. One hour later it drove 40 miles per hour on the freeway. How long did it take to go 140 miles? Is the correct answer 3.5 minutes.
82. ### Physics

A bus started out going 20 miles per hour on the highway. One hour later it drove 40 miles per hour on the freeway. How long did it take to go 140 miles? Is the correct answer 3.5 minutes.
83. ### Physics

A bus started out going 20 miles per hour on the highway. One hour later it drove 40 miles per hour on the freeway. How long did it take to go 140 miles? Is the correct answer 3.5 minutes.
84. ### Chemistry

Methane is formed in landfills by the action of certain bacteria on buried organic matter. If a sample of methane collected from a landfill has a volume of 500. mL at 744. torr and 22. °C, how many grams of methane are in the sample?
85. ### chemistry

Methane is formed in landfills by the action of certain bacteria on buried organic matter. If a sample of methane collected from a landfill has a volume of 100. mL at 754 torr and 21.2 °C, how many grams of methane are in the sample?
86. ### Chemistry

Methane is formed in landfills by the action of certain bacteria on buried organic matter. If a sample of methane collected from a landfill has a volume of 200. mL at 741 torr and 27.2 °C, how many grams of methane are in the sample?
87. ### math

A boat travels down the river in 2.6 hours. The return trip up river takes 3.9 hours. A one way trip down or up river is a distance of 21 miles. If the boat is traveling at maximum speed, what is the boats speed measured in waters with no current? You need to use systems to ...
88. ### math

A boat travels down the river in 2.8 hours. The return trip up river takes 3.8 hours. A one way trip down or up river is a distance of 24 miles. If the boat is traveling at maximum speed, what is the boats speed measured in waters with no current? You need to use systems to ...
89. ### Trigonometry

Having trouble with true/false questions in Trigonometry. They read as follows - True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer. True or False: For a one to one function, y=f(x), then x=f^-1(y). Explain your answer. True or False: For ...
90. ### Trigonometry

Having trouble with true/false questions in Trigonometry. They read as follows - True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer. True or False: For a one to one function, y=f(x), then x=f^-1(y). Explain your answer. True or False: For ...
91. ### math

how far would bikers travel in 1 hour 6 hours 8.5 hours and 10 hours? 1hr * 8mph = ? 6hr * 8mph = ? 8.5hr*8mph = ? 10hr* 8mph = ?
92. ### statistics

researchers believe a new sleep on average 10 hours per night ( µ = 10), with a population standard deviation of 2.3 hours(s=2.3) it is assume that the number of hours of sleep per night is normal distributed , however you think this drug causes people to sleep less than 10 ...
93. ### Math

A copy machine makes 60 copies per minute. A second copy machine makes 80 copies per minute. The second machine starts making copies 2 minutes after the first machine starts. Both machines stop making copies 8 minutes after the first machine started. Together, the 2 machines ...
94. ### Math

Gerald can complete a math assignment in 2 hours and a physics assignment in 1 hour. If he has 8 hours to complete a set of assignments, how many math assignments can he complete if he decides to leave the science assignments for the next day? This situation is given by 2x + y...
95. ### Algebra

Two trains leave Raleigh at the same time, one traveling north, the other south. The first train travels at 50 miles per hour and second at 60 miles per hour. In how many hours will the trains be 275 miles apart?
96. ### finanace

After a protracted legal case, Joe won a settlement that will pay him \$11,000 each year for the next ten years. If the market interest rates are currently 5%, exactly how much should the court invest today, assuming end of year payments, so there will be nothing left in the ...
97. ### net

An owner list his home and agrees to pay a 6% commission provided he nets \$10,000 after paying the commission and the balance of his mortgage, which is \$75,000. To the nearest dollar, what should the selling price be to net the owner his \$10,000?
98. ### Stats

I am working on a review sheet and got everything except for this one. I am not sure whether to use z or t. The number of hours per week that high school juniors watch TV is normally distributed with a mean of 8 hours and a standard deviation of 2 hours. If 100 students are ...
99. ### English

Where should commas be added in the following sentence? “Three Skeleton Key” got its name as the narrator tells us from three escaped convicts. A. after got and us B. after name and us C. after as D. after three I know it's not A. and D.
100. ### maths

Water is leaking out of a barrel. In the first hour, it lost half the number of litres it held, plus one litre. In the second hour, it lost half the remainder plus another litre. In the third hour, it lost half the remainder again, plus a further litre; and during the fourth ...