# 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 15

1. ### math (rate)

I need help! Ok here's the problem. Melissa lights 2 candles that are the exact same height at the exact same time. The blue candle takes 6 hours to burn completely. The purple candle takes 9 hours to burn completely. After how many hours will the slower burning candle be ...
2. ### math

A material has a half-life of 12 hours. If initially there are 4 grams of the material, how much is present after 8 hours? I know the answer is 8/3, but how would you solve this using calculus? please help.
3. ### algebra or algebra1

An eastbound car is going 4 miles per hour faster than a westbound car. The cars are 208 miles apart 2 hours after passing each other on a highway. What is the speed, in miles per hour, of the eastbound car
4. ### math

sara is thinking of a number that is a repeating deciaml of the form 0. abcdabcd...find sara's number using the following clues. a. the digit that is located 100 places after the deciaml is 4. b. the digit that is 150 places after the deciaml is 5. c. the digit that is 175 ...

A certain colony of bacteria triples in length every 10 minutes. It's length is now 1 millimeter. How long will it be in 40 minutes? Please help answer thx
6. ### Healthcare finance

You are considering starting a walk-in clinic. Your financial projections for the first year of operations are as follows: Revenues (10,000 visits) \$400,000 Wages and benefits 220,000 Rent 5,000 Depreciation 30,000 Utilities 2,500 Medical Supplies 50,000 Administrative ...
7. ### Trigonometric Functions

The average depth of the water in a port on a tidal river is 4m. At low tide, the depth of the water is 2m. One cycle is completed approximately every 12h. a)Find an equation of the depth, d(t)metres, with respect to the average depth, as a function of the time, t hours, after...
8. ### Pre-Algebra

One edition of Alice's Adventure in WonderLand has 352 pages.How Many 4's were used in the number of pages? The answer I came up with was 356. Please and thank-you Ok, how many page numbers have one four in them and how many have two in them. Of course, none have three fours, ...
9. ### Algebra 2 A

A jet ski company charges a flat fee of \$26.00 plus \$3.25 per hour to rent a jet ski. Another company charges a fee of \$24.00 plus \$3.50 per hour to rent the same jet ski. Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer...
10. ### Quantitative Techniques

Q No. A company is seriously considering buying one type of machine that can save significant labor hours. The labor hour saved by the machine follows a normal distribution with mean = 2200 and a certain standard deviation. It is known that there is a fifty- fifty chance that ...
11. ### Algebra 2

Amanda surveyed 20 juniors and seniors at Delmark Highschool to find the number of hours per week they spend working at part time jobs. Her results are shown below Junior - 20,10,20,15,0,0,10,20,15 Senior - 20,20,10,10,0,0,0,10,0,10 Which statement about the data is true? A - ...
12. ### Math

Two ships leave the same port at the same time. One ship sails on a course of 110 degree at 32 mi/h. The other sails on a course of 230 degree at 40 mi/h. Find the distance between them after 2 hours. Express your answer to the nearest mile.
13. ### Algebra

80. Determine the sum for the arithmetic series: n = 37, t1 = 23, t37 = 203 a. 5631 b. 8362 c. 6742 d. 4181 81. Determine the sum for the arithmetic series: n = 100, t1 = 17, t100 = 215 a. 9900 b. 3350 c. 11,600 d. 990 82. Determine the sum for the geometric series: n=10, r=-2...
14. ### PreClac

The height in inches about the ground of the tip of the hour hand is a function, h(t), of the time (t), in hours. The hour hand is 6 inches long and the middle of the clock face is 68 inches about the ground. Identify the period, midline, and amplitude of the function.
15. ### math

1. The cost of a regular price to Saint Louis Cardinal baseball was \$60. During the World Series, the price increased by 2/5. What did the fans pay? A. \$65 B. \$84 C. \$80 D. \$69 my answer is D 2. Abby is touring China for four days. The rental is \$38.15 per day plus 12 1/2 ...
16. ### Math

Mike is paid at a rate of 950 per hour for the first 40 hours worked in a week and one and one half times that rate for all hours over 40 if he works 52 1/4 hours in a week what is his gross pay rounded to the nearest cent
17. ### algebra1

an internet serive provider charges \$9.95/month for the first 20 hours and \$0.50 for each additonal hour. write and expression presenting the charges for h hours of use in one month h is more than 20 hours. what is the charge for 35 hours... pls show me the formula to work ...
18. ### outline writing

I need help writing an outline for what I have written here. I would like to do my assignment of Microbes, more to the point on how microbes help us. When most people think of microbes they think for bad bacteria or the ugly side of what microbes does. I have been researching ...
19. ### Algebra

a. Do some research and find a city that has experienced population growth. Determine its population on January 1st of a certain year. Write an exponential function to represent the city’s population, y, based on the number of years that pass, x after a period of exponential...
20. ### Calculus

After t hours of an 8-hour trip the distance a car travels is modeled by: D(t)= 10t + (5)/(1+t) - 5 where D(t) is measured in meters. a) derive a formula for the velocity of the car. b) how fast is the car moving at 6 hours? c) derive a formula for the car's acceleration. I'm ...
21. ### accounting

A company purchased a machine on January 1 of the current year for \$750,000. Calculate the annual depreciation expense for each year of the machine's life (estimated at 5 years or 20,000 hours, with a salvage value of \$75,000). During the machine's 5-year life its hourly usage...
22. ### Algebra

After visiting the Titanic, Captain Brain and Mr. Pinky are taking the Alvin submarine back to the surface of the water. They start 1500 meters below the surface of the water, and ascend at 37 meters per hour. Note: under the water is a negative number. Write an equation to ...
23. ### trig

I have finished the questions for the following, but could someone please check to see if my answers are right because there are no answers for these questions since it's a sheet that my teacher gave us. Ok, just let me know where my errors are and what is the correct answer ...

A boat costs \$92,000 and depreciates in value by 15% per year. How much will the boat be worth after 10 years? 18,112.45 78,200 18,941.98 69,000 Is the answer the first one? Could somebody write down the steps for me please? Pleas help asap! Thanks
25. ### biology

Can someone please explain to me the difference between gram-positive & gram-negative bacteria. What are they, what do they do? EXPLAIN I know that you can tell them apart by the method called gram staining. The gram consists of two dyes one violet which is the primary one and...
26. ### Science

Bacteria are classified according to three basic shapes. Name them and give the scientific. name for the shape. 1. Round pairs - Diplococcus 2. Rod shaped - Bacilli 3. ?? I need another one. Please help me.
27. ### math

In 2000,the population of Arizona was 5 million and growing continuously at a rate of 3.1% per year. Write a function f that models Arizona's population in millions x years after 2000.
28. ### Algebra

Two plumbers received a job. At first, one of the plumbers worked alone for 1 hour, and then they worked together for the next 4 hours. After this 40% of the job was finished. How long would it take each plumber to do the whole job by himself if it is known that it would take ...
29. ### math

2. How is the graph of y = –2x² – 5 different from the graph of y = –2x²? (1 point) It is shifted 5 units up. It is shifted 5 units down. It is shifted 5 units left. It is shifted 5 units right. 3. A model rocket is launched from a roof into a large field. The path of ...
30. ### Algebra

A whole number is added to a number with two didgets after the decimal point. To make sure the answer is reasonable, how many didgets should the sum have after the decimal point ? A - none B - 1 C- 2 D- infinitely many
31. ### Math

In 1968, the U.S. minimum wage was \$1.60 per hour. In 1976, the minimum wage was \$2.30 per hour. Assume the minimum wage grows according to an exponential model w(t), where t represents the time in years after 1960. Find the Formula for w(t) My work so far: n=y(not) t=0 y=1.60...
32. ### Nutrition of the young child

Why shouldn't unmodified cow's milk be given to an infant under one year old? A.Infants are able to digest only breast milk. B.It contains too much bacteria for young babies to handle. C.It can cause an upset stomach D.Most infants are allergic to it. I pick B as my answer. ...
33. ### Science

How does the use of antibiotics result in the evolution of resistant stains of bacteria.

How are plants,similar to animals, protists, fungi, and bacteria?
35. ### Biology

How does bacteria reproduce and how can I show it in a cartoon? In a way that a appropriate? Please help me.. Thank you!
36. ### Honors 7 grade science

2 ways that bacteria can change. (harmless to harmfull)
37. ### Microbiology

describe the factors that may alter the expression of the cultural characteristics of bacteria?
38. ### Biology

Can bacteria reproduce by spore formation?Or only binary fission?
39. ### science

how does movement differs among Bacteria, grasshoppers, fish, bear
40. ### Ecology

Why is more energy Produced from photosynthetic organisms than from chemosynthetic bacteria?
41. ### Microbilogy

Albert Kluyver "From elephant to...bacteria-it is all the same!" What did he mean?
42. ### Genetics

In general, what two methods are used to grow bacteria in the laboratory?
43. ### Help!...Math...

Two cars leave town going opposite directions. One car is traveling 55 mph, and the other is traveling 65 mph How long will it take before they are 180 miles apart? Hint: The time for both cars is the same and can be represented by "t." The total distance is 180 miles. The ...
44. ### math

Figures obtained from a city's police department seem to indicate that of all motor vehicles reported as stolen, 61% were stolen by professionals (P), whereas 39% were stolen by amateurs (primarily for joy rides) (A). Of those vehicles stolen by professionals, 21% were ...
45. ### MATH

Rob can complete his bus route in 6 hours. Joan can complete her bus route in 3 hours. If they left the terminal at 3:00 am and after each completed route returned to the terminal, determine the next time they would leave the terminal at the same time. Please explain how to ...
46. ### Math

the concentration of a certain substance in our organism is given by the model Q9t) = Q(subscript 0) e^-0.1960t a) what quantity of substance is present in the organism of this individual 3 hours after ingestion? b) after how many hours will there only be 10% of this substance...
47. ### Math

A fishing boat leaves port at 11 miles per hour at a bearing of 210 degrees for 2 hours, then turns to a bearing of 250 degrees at 8 miles per hour for 4 hours, and finally changes to a bearing of 280 degrees at 7 miles per hour for 2 hours. At this point, the boat heads ...
48. ### science

I have two questions I need help with please. Thank you! 1)Mitochondria, the energy-processing organelles in eukaryotic cells, have their own DNA, separate from that of the cell’s nucleus. Which of the following choices best explains the presence of mitochondria in ...
49. ### Math-Urgent

A circus performer is juggling clubs while standing on stilts. He released a club from a point 8 feet above the ground with an initial vertical velocity of 10 ft per second. a. Write the equation that models the height [h] (in feet) of the club as a function of the time [t] in...

one kilwatt/hour (kWh) is the amount of work or energy generated when one kilowatt of power is supplied fr a time of one hour. a kilowatt/hour is the unit of energy used by power companies when figuring your electric bill. determine the number of joules of energy in one ...
51. ### Math

Adam left the airport and traveled toward the Capital. Elisa left one hour later traveling 50 mph in an effort to catch up to Adam. After traveling for 4 hours Elisa finally caught up. What was Adam's average speed?
52. ### accounting

An employee earns \$40 per hour and 1.75 times that rate for all hours in excess of 40 hours per week. Assume that the employee worked 60 hours during the week, and that the gross pay prior to the current week totaled \$58,000. Assume further that the social security tax rate ...
53. ### Math-Asap

I have another expression that I need help with. If the hours worked are less than or equal to 40 return the pay as hours worked times hourly wage. -hours*hourlywwage (this is my expression) Otherwise return the pay as the first 40 hours worked times the hourly wage plus those...
54. ### math

A drivers distance varies directly as the amount of time traveled. After six hours, a driver had traveled 390 miles. How far had the driver traveled after 4 hours?
55. ### Math

You are in a car of a ferris wheel. The wheel has a radius of 8m and turns counterclockwise. Let the orgin be at the center of the wheel. Begin each sketch in parts a) and b) when the radius from the centre of the wheel to your car is along the positive x-axis. a) Sketch the ...
56. ### Qvntitative Methods

CASE STUDY: 1 The bulbs manufactured by a company gave a mean life of 3000 hours with standard deviation of 400 hours. If a bulb is selected at random, what is the probability it will have a mean life less than 2000 hours? Question: 1) Calculate the probability. 2) In what ...
57. ### Maths

Runner A speed 1km/hour Runner B speed 2km/hour They start of at the same point at the oval.In a lap that is 500m, how many times will they meet at the starting point after 10 hours. I managed to get the LCM for runner A,B using the time taken to complete 1 lap A=1/2 hrs, B=1/...
58. ### Math

A fishing boat leaves port at 5 miles per hour at a bearing of 350∘ for 2 hours, then turns to a bearing of 40∘ at 12 miles per hour for 2 hours, and finally changes to a bearing of 180∘ at 10 miles per hour for 5 hours. At this point, the boat heads directly...
59. ### Math

A fishing boat leaves port at 5 miles per hour at a bearing of 350∘ for 2 hours, then turns to a bearing of 40∘ at 12 miles per hour for 2 hours, and finally changes to a bearing of 180∘ at 10 miles per hour for 5 hours. At this point, the boat heads directly...
60. ### Math

A fishing boat leaves port at 5 miles per hour at a bearing of 350∘ for 2 hours, then turns to a bearing of 40∘ at 12 miles per hour for 2 hours, and finally changes to a bearing of 180∘ at 10 miles per hour for 5 hours. At this point, the boat heads directly...
61. ### Math

What is the probability of rolling a number cube and getting an even number or a multiple of 3? I got 4/6 as the probability, but that isn't a choice. 6 is a multiple of 3 and an even number, so if I count 6 once, then I get 4/6 as the probability. But if I count 6 twice (for ...
62. ### plz plz plz help in science

An elastic object strikes to ground and compress when it touches the ground. What is energy transformation? a- gravitational to electric b- electric to gravitational c- A ---Answer i don't know which one is right for the second one. A study shows treatment of peptic ulcer with...
63. ### Calc

If a rock is thrown upward on the planet Mars with a velocity of 17 m/s, its height (in meters) after t seconds is given by H = 17t − 1.86t^2. (a) Find the velocity of the rock after one second. (b) Find the velocity of the rock when t = a. (c) When will the rock hit the...
64. ### Easy Math??

Carol started from home on a trip averaging 30 miles per hour how fast must her mother drive to catch up to her in 3 hours if she leaves 30 minutes after Carol? Use an equation to solve your work. a.35 mph b.39 mph c.40 mph I heard that the answer is a, but I don't know how to...

1. The area of Greenland is 840,000 square miles. What is this number in scientific notation? (1 point) 840 x 105 84 x 10–5 8.4 x 105 8.4 x 10–5 2. What answer represents this number in scientific notation? 0.00000916 (1 point) 916 x 10–8 9.16 x 10–6 916 x 108 9.16 x ...

Simon travels north and south from Main Station. The distance, in km, of the train from Main Station is modeled by the function d(t)=t^3-9t^2+6t, where North is positive and South is negative. Time elapsed after the start of a shift, in hours, is represented by t, where &#...
67. ### Math

A heated piece of metal cools according to the function c(x)=(.5)^(x−9), where x is measured in hours. A device is added that aids in cooling according to the function h(x)=−x−2. What will be the temperature of the metal after five hours? -7 Degrees Celsius 6...
68. ### Math

A heated piece of metal cools according to the function c(x)=(.5)^(x−9), where x is measured in hours. A device is added that aids in cooling according to the function h(x)=−x−2. What will be the temperature of the metal after five hours? -7 Degrees Celsius 6...
69. ### math 5th

number puzzles You say this number when you start at 0 and count by 15. You say this number when you start at 0 and count by 25. This number is less than 200. This number is even.
70. ### vectors

The minute hand of a wall clock measures 11 cm from its tip to the axis about which it rotates. The magnitude and angle of the displacement vector of the tip are to be determined for three time intervals. What are the (a) magnitude and (b) angle from a quarter after the hour ...
71. ### Algebra. NEED HELP ASAP PLEASE

After 2009 the sales of new cell phones without cameras began declining. The number of people y (in thousands) who bought a cell phone without a camera can be estimated by the equation y=−30x+270 y=-30x+270, where x is the number of years after 2009. a) Find the x-...
72. ### math

the productivity of a person is modelled by the function y=5cos(pi/2 t)+5, where t is in hours and t>and equal to 0. if the person starts work at 8:00am and works for 12 hours determine at what times they are least productive.assume that t=0 represents 8:00am.
73. ### Calculus & Vectors

A search and rescue aircraft, travelling at a speed of 240 km/h starts out at a heading of N 20 degrees West. After travelling for 1h and 15 min, it turns to a heading of N 80 degrees E and continues for another two hours before returning to base. Find the total distance the ...
74. ### Algebra II Part 2

The equation h=7 cos{pi/3 t} models the height h in centimetres after t seconds of a weight attached to the end of a spring that has been stretched and then released. Find the times at which the weight is at a height of 1 cm,of 3 cm,and of 5 cm below the rest position for the ...
75. ### Physics

Two cars AandB travel along the same road in the Sam direction from the Same starting place.Car A maintains speed of 50km/h and car B 60km/h,but starts one hour later. how many hours will take for B to overtake A?
76. ### MATH!!

find the total number of possible outcomes for 4 different cell phone models, each of which has 3 different plans. A.7 B.12 C.16 D.24 my answer is 12 please tell me if its correct if not can yo help me find the right answer thankyou
77. ### Physics (When will Kathy overtake Stan if )

Kathy has a sports car that can accelerate at the rate of 4.90m/s^2. She races with Stan. Both cars start from rest but experienced Stan leaves starting line 1.00s before her. Stan moves with a constant aceleration of 3.90m/s^2 and Kathy maintains an acceleration of 4.90m/s^2 ...
78. ### accounting

Andre has asked you to evaluate his business, Andre’s Hair Styling. Andre has five barbers working for him. (Andre is not one of them.) Each barber is paid \$9.90 per hour and works a 40-hour week and a 50-week year, regardless of the number of haircuts. Rent and other fixed ...
79. ### Math

4.)Find the unit rate. Round to the nearest tenth, if necessary. 344 miles in 11 hours A.)344 Miles/Hour B.)3,784 Miles/Hour C.)0.03Miles/Hour D.)31.27 Miles/Hour Is My Anwser C.)0.03Miles/Hour? If not can you explain why? & if so Thank You
80. ### Math

You say the number when you count by 2s. You say the number when you count by 3s. You say the number when you count by 4s. The number is more than 20 but less than 30. What is the number?
81. ### Math

A company invests \$15,000.00 in an account that compounds interest annually. After two years, the account is worth \$16,099.44. Use the function in which r is the annual interest rate, P is the principal, and A is the amount of money after t years. What is the interest rate of ...
82. ### Algebra

A company invests \$15,000.00 in an account that compounds interest annually. After two years, the account is worth \$16,099.44. Use the function in which r is the annual interest rate, P is the principal, and A is the amount of money after t years. What is the interest rate of ...
83. ### Algebra 2

a) A population of 460 animals that increases at an annual rate of 15%. Write an exponential function to model. b) Write an exponential function to model. Predict the value of the function after 5 years(nearest whole number). A population of 430 animals that decreases at ...
84. ### algebra - exponentials

Pa^t and Pe^rt are two forms of the same exponential function. One would expect to obtain the same answer for f(18) (after finding P and a and P and r). Explain why you may not get the same answer for f(18) in practice.
85. ### math

One month, ruby worked 6 hours more than Isac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 126 hours. Find the number of hours each person worked
86. ### English / need advice

we are asked to write a 1 page report about how is fermented beverage made. my plan is to make report about fermented milk. i found this article but my concern is how can i make my report without looking like a copy/ paste work? need serious advice. here is the article that i ...
87. ### math

Describe a real life situation that could be modeled by a function. A real life situation is: A family decides that they want to get the carpet done in their house. They already have all the necessary material to do the work but they do not know how. They need to hire someone ...
88. ### physics

An electron starts at rest. Gravity accelerates the electron in the negative y direction at 9.80 m/s2 while an electric field accelerates it in the positive x direction at 3.80×106 m/s2. Find its velocity 2.45 s after it starts to move.
89. ### physics

An electron starts at rest. Gravity accelerates the electron in the negative y direction at 9.80 m/s2 while an electric field accelerates it in the positive x direction at 3.80×106 m/s2. Find its velocity 2.45 s after it starts to move.
90. ### physics

An electron starts at rest. Gravity accelerates the electron in the negative y direction at 9.80 m/s2 while an electric field accelerates it in the positive x direction at 3.80×106 m/s2. Find its velocity 2.45 s after it starts to move.
91. ### Math algebra

The radioactive decay of a substance is expressed by A=A^0 e^ -kt, where the initial amount A^0, decays to an amount A after t years. The positive constant k differs for each substance. Strontium 90 decays such that k=.028. Find out how much of 1,000 mg of strontium 90 remains...
92. ### math

juan travels at the rate of 30miles per hour for 4 hours. He then return over the same route in 3 hours.What was his average rate for the return trip in miles per hour a-22 1/2 b-34 2/7 c-35 d-36 e-40 answer: f-40
93. ### physics

what will be the speed of a 500 kilogram moving satellite if we apply100N force on it after each second till 10 hours and current velocity of this satellite is 16,800 miles per hour?
94. ### physics

what will be the speed of a 500 kilogram satellite if we apply 100N force on it after each second till 10 hours.the current velocity of this satellite is 16,800 miles per hour?
95. ### Calculus II

Hi, I can't seem to find out how to do this. My textbook has two Q(t) values in the example and I don't know how to interpret this problem. An institute finds that the average student taking Elementary Machine Shorthand will progress at a rate given by dQ/dt = k(85 − Q) in a...

The number of hours of daylight D depends upon the latitude and the day t of the year and is given by the equation : D(t)=12+Asin(((2pi)/(365))(t-80)) where A depends only on the latitude (and not t). for latitude 30 degress, A is about 2.3 1. When is the number of hours of ...
97. ### calculus

The number of hours of daylight D depends upon the latitude and the day t of the year and is given by the equation : D(t)=12+Asin(((2pi)/(365))(t-80)) where A depends only on the latitude (and not t). for latitude 30 degress, A is about 2.3 1. When is the number of hours of ...
98. ### chemistry

The half-life of a reaction was found to be inversely dependent on the concentration of the starting material. Thus, we can say that a. the reaction is zero order b. the reaction is first order c. the reaction is second order d. the reaction starts out first order and changes ...
99. ### Algebra Question~!

A company invests \$15,000.00 in an account that compounds interest annually. After two years, the account is worth \$16,099.44. Use the function in which r is the annual interest rate, P is the principle, and A is the amount of money after t years. What is the interest rate of ...
100. ### English

We were supposed to label every word in these sentences, but some of them were kind of confusing: The process is a method using heat and cold. I know that "the" is article adj., "process" is subject, a article adj, "and" is a conjunction , but what is the rest. He showed ...