# 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 32

1. ### Visual Basic (Computer Programming)

ALGORITHM EXERCISES 1. Wilma Peterson is paid by the hour. She would like a program that both calculates and displays her weekly gross pay. For this exercise, you do not need to worry about overtime pay, as Wilma never works more than 40 hours in a week. Desk-check your ...
2. ### science

A 27 kg gun is standing on a frictionless sur- face. The gun fires a 56 g bullet with a muzzle velocity of 314 m/s. The positive direction is that of the bullet. Calculate the momentum of the bullet im- mediately after the gun was fired. Answer in units of kg · m/s Calculate ...
3. ### science

A 27 kg gun is standing on a frictionless sur- face. The gun fires a 56 g bullet with a muzzle velocity of 314 m/s. The positive direction is that of the bullet. Calculate the momentum of the bullet im- mediately after the gun was fired. Answer in units of kg · m/s Calculate ...
4. ### science

A 27 kg gun is standing on a frictionless sur- face. The gun fires a 56 g bullet with a muzzle velocity of 314 m/s. The positive direction is that of the bullet. Calculate the momentum of the bullet im- mediately after the gun was fired. Answer in units of kg · m/s Calculate ...
5. ### algebra

A piece of pottery is removed from a kiln and allowed to cool in a controlled environment. The temperature (in degrees Fahrenheit) of the pottery after it is removed from the kiln for various times (in minutes) is shown in the following table. Time, min Temperature, °F 15 ...
6. ### physics

An electron is accelerated by a constant electric field of magnitude 325 N/C. (a) Find the acceleration of the electron. (m/s^2) (b) Use the equations of motion with constant acceleration to find the electron's speed after 1.05 10-8 s, assuming it starts from rest. (m/s)
7. ### math

you complain that the hot tub in your hotel suite is not enough. the hotel tells you that they will increase the temperature by 10% each hour. If the temperature of the hot tub is 75%F, what will be the temperature of the hot tub after 3 hours, to the nearest tenth of a degree?

10. ### math

A giant tortoise can live 175 years in captivity. The gastrotrich, which is a small aquatic animal, has a life span of only 3 days (72 hours). If a gastrotrich died after 36 hours, a giant tortoise that lived 87.5 years would live proportionally the same because they both ...

Ok these are some textbook questions i need to turn in soon could you please check and see if they are correct~ 1. x over 4 + 1 = –5 (1 point) –2 16 4 –24 2. 6x + 29 = 5 (1 point) –4 –18 204 –144 3. Combine like terms: –21a + 16a (1 point) –5a 5a 37a –37a ...
12. ### Math

I seem to be having problems setting up Linear Programming questions. For example: Kustom Kars does van conversions. The Custom conversion required 15 hours of shop time, 8 hours of painting time, and 1 hour of inspection time. The Deluxe conversion requires 12 hours of ...
13. ### Algebra 2

1. Determine whether the relation is a function. A: ? 2. A commuter has $75. Each day's commute costs$3.50. Write a function to represent the total amount the commuter has remaining after d days. What is the value of the function for an input of 5, and what does it represent...

A ball is thrown from a height of 105 feet with an initial downward velocity of 9/fts . The ball's height h (in feet) after t seconds is given by the following. =h−105−9t16t2 How long after the ball is thrown does it hit the ground? Round your answer(s) to the ...
15. ### Algebra

1. Evaluate. (8 – 3) (12 ÷ 2 • 2) – 20 Answer: I'm not sure if its -5 or 40 2. 6x – 7 = 5(x – 2) Answer: -3 3. Solve for y. 3x – 2y = 12 Answer: 3x-12/2 4. Solve. –3(x – 3) + 8(x – 3) = x – 9 Answer: 1 1/2 or 1.5 5. Find the slope of the line passing ...
16. ### Physics

A butterfly is flying with velocity jˆ i 12 ˆ 10 + m/s and wind is blowing along x axis with velocity u. If butterfly starts motion from A and after some time reaches point B, find the value of u.
17. ### Science

A train starts from rest and attains a speed of 15 m/s in 10 seconds and produce acceleration of 2.5 m/s (square) it stops in 6 seconds after the breaks apply find the distance covered by train
18. ### linear equations

Rachel has two crayons. The fat crayon burns down to nothing after 15 hours. Her skinny crayons wear down to nothing ofter 6 hours. At 10:30 she began coloring with both crayons of the same height, one fat one skinny. At what time will the skinny crayon be half the height of ...
19. ### linear equations

Rachel has two crayons. The fat crayon burns down to nothing after 15 hours. Her skinny crayons wear down to nothing ofter 6 hours. At 10:30 she began coloring with both crayons of the same height, one fat one skinny. At what time will the skinny crayon be half the height of ...
20. ### Math

If 3000 dollars is invested in a bank account at an interest rate of 6 per cent per year, find the amount in the bank after 12 years if interest is compounded annually Find the amount in the bank after 12 years if interest is compounded quaterly Find the amount in the bank ...
21. ### Math, calculus, advanced functions, pre calculus

An investments value, V(t) is modelled by the function V(t)=2500(1.15)^2, where t is the number of years after funds are invested A) find the instantaneous rate of change in the value of the investment at t=4, what intervals would you choose? Why? My question is ... Which ...

the function f(x)= -o.005t^2+0.8t+12 models the relationship between a certain vehicle’s speed and fuel economy, where is the fuel economy in kilometres per litre and x is the speed of the vehicle in kilometres per hour. Determine the rate of change in fuel economy for 10 km...
23. ### Help w/this one again(Math!!)

Write one or two equations to represent the situation below. Solve the equation(s). Show all your work. Two cars leave town going in opposite directions. The car heading north travels at 55 mph. The car heading south travels at 75 mph. How long will it take them to get 715 ...
24. ### math help me out

at the beginning of the year, the owner of a jewel shop raised the prices of all the jewel in his shop by x% and lowered then by x%. The price of one jewel after this up and down cycle reduced by rs 100. the owner carried out the same procedure after a month. after this second...
25. ### math 117

Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to these events are not available long and can often be modeled by ...

64. ### Math

How can I convert mm to cm and cm to mm Look at the metric system, a part of which is shown below. The prefixes are kilo hecto deka unit--grams, liters, meters, etc. deci centi milli Stearting anywhere on the scale of prefixes above, count the number of places to get from ...
65. ### science

A half-life of mercury-195 is 31 hours. If you start with a sample of 5.00g of pure mercury-195, how much of it will still be present after 93 hours?
66. ### calculus

For time, t, in hours, 0\le t\le1, a bug is crawling at a velocity, v, in meters/hour given by v = \frac{5}{1 + t}. Use \Delta t = 0.2 to estimate the distance that the bug crawls during this hour. Find an overestimate and an underestimate. Then average the two to get a new ...
67. ### Math

Label each statement TRUE or FALSE. a. The sum of two one-to-one functions is one-to-one. b. The product of two one-to-one functions is one-to-one. c. If f is a one-to-one function and k is a real number (constant), then the function g(x)=k*f(x)is one-to-one. So I was thinking...
68. ### math

summation of indexed data Could someone please help me I am very confused on this problem.Thank you I have added all the number up and get -31. than it says to find -31- it have the sum with 15 over i=I than after that behind the sum is xi. What do i do to find the number do I...

95. ### Math

Can someone help me do an example like this one. State the application, give the equation of the quadratic function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. ...
96. ### math

A certain antibioyic reducesthe number of bacteria in your body by 10% each dose a) if four doses of the antibiotic are taken, what percent of the original bacterial population is left. b) biologists have determined that when a person has a bacterial infection, if the ...
97. ### math

The Thompson Company uses standard costing and has established the following direct material and direct labor standards for each unit of Lept. Direct materials: 2 gallons at $4 per gallon Direct labor: 0.5 hours at$8 per hour During September, the company made 6,000 Lepts and...
98. ### Math

Two boats leave the same place at the same time. The first sails in a straight line N70°W at 45 miles per hour and the second goes in a straight line S23°E at 57 miles per hour. After 1 hour, how far apart are the boats, to the nearest tenth of a mile?
99. ### physical

A car starts from rest its acceleration is 2m.s-2 in a straight line. What is it displacement after 10 seconds?
100. ### PHYSIC

A CHEETAH CAN ACCELERATE AT A RATE OF 8.0 M/S^2. ASSUMING IT STARTS FROM REST, WHAT WILL ITS VELOCITY BY AFTER 3.5 SECONDS?