# 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 90

1. ### Language Arts

Help Ms. Sue! Please check if I'm correct on this question. * Which of the sentences below is the best option for a thesis statement? A.) An after-school program at the community center might involve classes, sports, and other activities in which children can take part. B.)I ...
2. ### Maths

a 3 digit number starts with 2 and next 2 digits are 25 times the first digit .what is the number
3. ### math

i have tryed this like ten times but cant get the answer can u help. 58,00 times 7.40% after u get the answer between the two multiply by 3
4. ### Algebra(urgent)

a boat moves through still wather at x kilometers(km) per hour. it travels 24km up stream against a current of 2km per hour and then returns with the current. The rate upstream is x-2 because the boat moves against the current and the rate downstream is x+2 because the boat ...
5. ### Algebra

One skier covered the distance of 20 km 20 minutes faster than the other skier. Find the speed of both skiers if one of them is travelling 2 km/hour faster than the other one.
6. ### algebra

If p(t) is the profit (in dollars) that I expect my business to earn t years after opening, use functional notation to express my expected profit after 4 years and 6 months.
7. ### Math

A balloon 150 meters from the observer is rising vertically at constant rate. After 1 minute the angle of elevation is 28 degrees and 29 minutes. What is the angle after 3 minutes?
8. ### algebra

The equation y=-1777x+27153 can be used to predict the number y of gun deaths in the united states x years after 2000, that is, x=0 corresponds to 2000 x=3 corresponds to 2003, x=4 corresponds to 2004, and so on. Predict the number of deaths in 2004 and 2009. In what year will...
9. ### MATH

A letter carrier can deliver mail to 112 homes per hour by walking and 168 homes per hour by driving. Question1: By what percent is productivity increased by driving? Question2: If a new ZIP Code system improves driving productivity by 12.5%, what is the new number of homes ...
10. ### Math

Wile E. Coyote catapults himself off of a 500 ft. cliff with an initial velocity of 20 ft/sec. His height t seconds after catapulting is given by the function h(t) = −16t2 + 20t + 500 . (Note the y-intercept of (0, 500). a. Find his maximum height (Hint: he reaches ...
11. ### Algebra

At an ordinary rate, a man can row the distance from A to B, about 15 km, in 5 hours less time than it takes him to return. Could he double his rate, his time to B would only be one hour less than his time to A. What is his usual rate in still water? What is the rate of the ...
12. ### Physics

Using a swimming pool, two students decide to test the water by setting up an interference pattern at one end of the 50 m pool. They sit 2.0 m apart and create waves by tapping their right foot, in phase with each other, onto the water at a frequency of 1.0 Hz. The speed of ...
13. ### math

Instead of laying off workers, a company cut all employees hours from 40 hours to 3 hours a week. By what percent were employee hours cut?
14. ### math

Please help: A continuously compounded account starts with \$2500 in principal. The annual interest rate is 11.3%. What is the balance after 15 years? pert: Value= Principal*ert = 2500* e0.11(15) = 2500 * e1.65 wow. thanks
15. ### Algebra

(x=1 is the day tickets go on sale) Tickets= -0.2x^2+12x+11 1) Use the quadratic equation to determine the last day that tickets will be sold. Note. Write your answer in terms of the number of days after ticket sales begin. 2) Will tickets peak or be at a low during the middle...
16. ### Physics

Can't get correct answer An object weighing 340 N in air is immersed in water after being tied to a string connected to a balance. The scale now reads 260 N. Immersed in oil, the object weighs 290 N. (a) Find the density of the object. kg/m3 (b) Find the density of the oil. kg/m3
17. ### Physics

Hi I'm kinda new here, and hope someone can please help me out. A person exerts a tangential force of 38.1 N on the rim of a disk-shaped merry-go-round of radius 2.74 m and mass 207 kg. If the merry-go-round starts at rest, what is its angular speed after the person has ...
18. ### algebra

the time it takes you to get to campus varies inveresly as your driving rate. Driving at a rate of 40 miles per hour, it takes 1.5 hours. How ong would the trip take you driving at a rate of 60 miles per hour?
19. ### EDTECH

Which of the following is a good test-taking strategy for multiple-choice questions? A)answer C is almost always the correct answer, so pick answer C if you don't know the answer. B)read the answers first, then read the question. C)when in doubt, provide two answers. D)after ...
20. ### Calculus-Inverse Functions

is the inverse function of x+ floor(x) equal to x - floor (x/2) i got this after plotting points but i'm not sure. thank you

The minute hand on a watch is 7 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)
22. ### college math

Cindy deposited \$1,000 in an account that pays 12% interest compounded quarterly. How much money will Cindy have in the account after 7 years?
23. ### Math

Would you rather have \$10,000 or a stack of pennies 10 miles high? After you make your choice, figure out the value of the stack of pennies.
24. ### Maths

Mr Srinivasan invests \$55 000 in a fixed deposit account. The interest rate is 3.3 % per year. How much money will he have in the account after 1 year?
25. ### Math

A student borrowed \$19,000 at an annual interest rate of 6.4%. Calculate the amount of interest due 3 months after the student has begin making payments
26. ### AP World History

What are the effects of cultural diffusion in the Mediterranean? (I couldn't find the answer in my text book, the only thing I got was that the Mediterranean was able to adopt Greek culture.) Thank You Very Much!!
27. ### Statistics

A group of statistics students decided to conduct a survey at their university to find the average (mean) amount of time students spent studying per week. Assuming a standard deviation of 6 hours, what is the required sample size if the error is to be less than ½ hour with a ...
28. ### Pre Calculus

A flare is launched straight up with a velocity of 200 feet per second. The function h(t)= 200t−16t^2 models the height h(t)of the flare are at time t. How many seconds will it take for the flare to hit the ground?
29. ### English

Can you please check the following sentences for me? Thank you in advance. 1)They made a hole in the bottom of the boat on the beach. When the other sailors arrived at the beach by boat, they decided to leave three men in the boat whereas the other seven went in search of the ...
30. ### math

A truck drove 1400 miles at a rate twenty miles per hour slower on the return trip. If the trip took 22 hours total, how fast was the truck going on the return trip? Round your answer to the nearest hundredth.
31. ### finance

You have credit card debt of \$25,000 that has an APR (monthly compounding) of 15%. Each month you pay minimum monthly payment only. You are required to pay only the outstanding interest. You have received an offer in the mail for an otherwise identical credit card with an APR ...
32. ### physics

A baseball has a mass of about 0.15 kg, and it is pitched towards home plate at a speed of about 60 m/s. If the bat exerts an average force of 8600 N for 2.4 ms, what is the final speed of the ball in m/s?
33. ### Math

Asher cashed in a one-year term deposit after only five months had elapsed. In order to do so, he accepted an interest rate penalty—a reduction from the scheduled 5.5% rate of simple interest. If he was paid \$145.83 interest on the \$10,000 term deposit, what reduction was ...
34. ### Math

Find the half-life (in hours) of a radioactive substance that is reduced by 10 percent in 5 hours.
35. ### Math

The municipality of Waterloo needs \$915,000 from property tax to meet its budget. The total value of assessed property in Waterloo is \$14,000,000. What is the tax rate per dollar? (Round your answer to the nearest thousandth.) A. \$.07 B. \$.065 C. \$.071 My answer is B .065
36. ### college algebra

It is 473,000,000 miles from Jupiter to the sun. Light travels 186,000 miles per second. How long does it take light to travel from the sun to Jupiter? (Express your answer in minutes. Round your answer to two decimal places.)
37. ### Fractions

Is the answer to 3/9 x 4/8 same as the answer to 4/9 x 3/8? Why or why not? 3/9 x 4/8 = 1/6 4/9 x 3/8 = 12/72 (I multiplied straight across after reducing the fractions as much as they could be reduced)
38. ### Math

if the temperature is -40 degrees fahrenheit and increases 20 degrees fahrenheit after an hour. what is the current temperature?
39. ### Math

1)one number is four more than a second number. Twice the second is three more than the first. Find the numbers. 2)four times one number minus a second is 11, and the sum of the numbers is 14. Find the numbers.
40. ### that

Georgia purchased a house in 1998 for \$220,000. In 2003 she sold the house and made a net profit of \$50,000. Find the effective annual rate of return on her investment over the 5-yr period. Please round the answer to the nearest tenth of percent.
41. ### calculus

The number of Drosophila fruit flies in a controlled experiment assumes the following growth pattern when the food source is limited: N(t) = 120 1+11e−0.4t where t measured in days. A. How many fruit files were there in the beginning? B. What is the limiting number of ...
42. ### physics

An electric drill starts from rest and rotates with a constant angular acceleration. After the drill has rotated through a certain angle, the magnitude of the centripetal acceleration of a point on the drill is twice the magnitude of the tangential acceleration. What is the ...
43. ### Biology

The Kingdom Monera has been separated into two domains, the Archaea and the Bacteria. Which of the following was most important in prompting scientists to change the way these organisms were classified? a.)Major differences were discovered in the structure and operation of the...
44. ### Social Studies

Dear Mrs Sue, I still don't know what to do here 2. Why did the populist movement break up after the election of 1896? A.Democrats adopted several Populist causes B.They lost Support for an 8-hour workday C. People tired of a lack of prosperity D. Its members decided to adopt ...
45. ### R

In the board game monopoly, a player tosses two dices together and the sum of the two dices points is the number of steps he or she should go. For example a player gets a 2 and a 3, then he or she should go 5 steps forward. If the two dices give the same number (for example ...
46. ### Algebra 2

Hi, I need help finding the domain and range of the Quadratic Model on part b. I've included part a. just in case you may need it. a.The parabolic path of a thrown ball can be modeled by the table. the top of the wall is at (5,6). Will the ball go over the wall? If not,will it...
47. ### Quantum Physics

Let f:{0,1}->{0,1} with f(101)=1 and f(x)=0 for x ≠ 101 . In this question, we will run through two iterations of the algorithm. (a) What is the superposition after the initialization step? Note that you can describe the superposition Σαx|x> by specifying...
48. ### Math

An initial amount of \$2900 is invested in an account at an interest rate of 4% per year, compounded continuously. Find the amount in the account after six years. Round your answer to the nearest cent.
49. ### programming

• (Workers) Name Hours per day John 5 6 4 7 8 Jack 7 3 5 7 4 Jill 2 9 4 3 5 James 6 6 2 4 5 Jacob 5 6 6 3 3 Jeremy 5 5 5 8 8 Jim 8 8 4 7 4 Jerry 6 4 5 6 7 Jamie 3 2 6 7 4 • If worker payment is \$6.50 per hour, write methods to calculate: o Average Working hours for every ...
50. ### History

Prove that one Jew was gassed by Nazi Germany. For any gassing, use a Nazi document to show each of the followng: the location of the gassing, the duration of the gassing, the date of the gassing, the hour of the gassing, the preparations for the gassing, the physician present...
51. ### algebra

the bill(parts and labor) for the repair of a car was \$458. the cost of parts was \$339. the cost of labor was \$34 per hour. write and solve an equation to find the nuber of hours of labor. make sure you show your work.
52. ### Algebra

The function f is one to one. Find its inverse. f(x) = 8x^2 - 9, x>=0
53. ### Math

Find the inverse of the one-to-one function. f(x)= 5/(3x-4)
54. ### algebra

the one to one function g and h g={(-4,5),(2,-5),(3,2),(4,9) h(x)= 2x+9 find the following g^-1(2)= h^1(x)= (h*h^1)(-7)
55. ### math

The function f(x)=7/12 x^2+¦Ð is one-to-one on the domain if and if x¡Ý0. Find the f^(-1) (x).
56. ### math

Erica took 2 days to drive 1,020 miles. On the first day she drove 10 hours at an average spped of 62 mile per hour. on the second day, her average spped was 57 miles per hour. approx. how long did she drive on the 2nd day?
57. ### Statistics

the average numbers of hours a cat sleep is approximately normally distributed with a mean of 15 hours and a standard deviation of 1.7 hours; what percentage of cats sleep between 13 and 18 hours
58. ### Accounting

Mushroom Company, a retail company, has two departments, "G" and "S". The company's most recent monthly contribution format income statement is presented below. ...................................Total..................................G...............................S Sales...
59. ### Statistics

A Particular pain relieving medicine has a decay rate of 24% an hour. A patient was given a dose of the medicine 5 hours ago and there is currently 74mg of the medicine in the patients bloodstream. Q: What was the Origional dose of the medicine? ________ milligrams. Q How long...
60. ### Statistics - Can anybody help me?

A Particular pain relieving medicine has a decay rate of 24% an hour. A patient was given a dose of the medicine 5 hours ago and there is currently 74mg of the medicine in the patients bloodstream. Q: What was the Origional dose of the medicine? ________ milligrams. Q How long...
61. ### Biology

Hey I am doing a lab, the link is down h t t p : //w w w . sd67 . bc . ca/schools/salc/biology%2012/module%20c%20-%20human%20biology/unit%2010%20-%20respiratory%20system/Homeostasis%20Lab .pdf And I really would like help with #1 My data is right here Pre exercise 0 min - Temp...
62. ### math

Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 6%/year compounded monthly. If the future value of the annuity after 10 yr is \$55,000, what was the size of each payment?
63. ### math

Suppose payments were made at the end of each quarter into an ordinary annuity earning interest at the rate of 9%/year compounded quarterly. If the future value of the annuity after 8 yr is \$80,000, what was the size of each payment?
64. ### Programming

Name Hours per day John 5 6 4 7 8 Jack 7 3 5 7 4 Jill 2 9 4 3 5 James 6 6 2 4 5 Jacob 5 6 6 3 3 Jeremy 5 5 5 8 8 Jim 8 8 4 7 4 Jerry 6 4 5 6 7 Jamie 3 2 6 7 4 If worker payment is \$6.50 per hour, write methods to calculate: Average Working hours for every Worker -> Return ...
65. ### Healthcare Statistic

Memorial hospital has a steady inpatient bed count of 150 beds that are set up and staffed, though the hospital was constructed for 175 beds. What would have been the bed count days for the year 2010?

A qulliq is an oil lamp that functions as the main source of light and heat for an igloo in the Inuit culture. It is made of soapstone shaped as a parabolic bowl that contains seal blubber for the oil. It is lined with Arctic wool for the wick. If the length of the bowl is ...
67. ### Math

Compare the models for 1/3 and 2/6. How does the number of parts relate to the sizes of the parts?
68. ### math

compare the models for 1/3 and 2/6. How does the number of parts relate to the size of the parts.
69. ### maths

given function G(x)=1/3(x-2)^2-3 2<x<5 sketch a graph of function y=g^-x and find the inverse function g^-1
70. ### math

So is the function, f(x)= 2x²- 3x + 4 linear or nonlinear? Find f(-3) and f(3) for this function. I have the answer f(x)= 2(3)²- 3(3) + 4 =29 and f(x)= 2x²- 3x + 4 =49 I hapo this is correct and this is non linear?
71. ### Physics

A student initially at rest on a frictionless frozen pond throws a 1 kg hammer in one direction. After the throw the hammer moves off in one direction while the student moves off in the other direction. Which of the following correctly describes the above situation? The answer...
72. ### Mathematics

I have a question about onto and one-to-one.? Determine(with an explanation) whether this function is one-to-one and whether it is onto. f:R-->RxR, where f(x)=(x^2, 2x+1). I honestly know this is probably very simple but I have not idea where to start. I'm not even sure ...
73. ### Dressmaking

as many alterations as possible should be made A)after sewing a garment B)on the pattern pieces C)immediately after cutting D)following the markings on the pattern pieces Im not sure if B or D is correct
74. ### Physics

The hare and the tortoise are at the starting line together. When the gun goes off, the hare moves off at a constant speed of 10 meters per second. (Ignore the acceleration required to get the animal to this speed.) The tortoise starts from a dead stop, but accelerates at a ...
75. ### College Algebra

According to Newton's law of cooling, the rate at which an object cools is directly proportional to the difference in temperature between the object and the surrounding medium. The face of a household iron cools from 130° to 100° in 30 minutes in a room that remains at a ...
76. ### physics

In the Atwood's machine of Figure 8-23, the two masses shown are initially at rest at the same height. After they are released, the large mass, m2, falls through a height h and hits the floor, and the small mass, m1, rises through a height h. The mass m2 remains at rest once ...
77. ### physics

A person of mass 60 kg is standing on a raft of mass 40kg in a lake. The distance of a person from bank is 30m. If a person starts running towards bank with velocity 10m/s then his distance from bank after 1s will be ?? And explain with diagram and proper steps
78. ### English

After we did two types of sand together, he did the rest on his own. or After we had done two types of sand together, he did the rest on his own. Which one is correct?

Bob buys a house for 150,000 with a mortgage rate of 5.8% convertible monthly. At the time of purchase he owns a 10,000 20-year zero coupon bond that earns 4.5% annually. The bond matures in 15 yeas. He would like to use the proceeds from the bond to make a payment larger than...
80. ### data management

In a simple card game, Player A wins a point if either a face card, a red prime number, or a black perfect square number is drawn from a standard deck. Otherwise, Player B wins a point. Assume aces do not count as 1s.
81. ### financial mgmt

the admitting department at Kriz hospital processed 1,000 patients last month. a total of 2,500 admitting personnel hours were consumed in processing the patients. The cost of the admitting dept. were \$50,000. What are 2 possible allocation bases and rates?
82. ### financial mgmt

the admitting department at Kriz hospital processed 1,000 patients last month. a total of 2,500 admitting personnel hours were consumed in processing the patients. The cost of the admitting dept. were \$50,000. What are 2 possible allocation bases and rates?
83. ### math

1. =SUM(A14,A8) 2. =C8+ 15 3. PMT function {PMT(D4D12,E4,-C4)} What will each of the above formulas do please see if I have the correct answer using excel or another spreadsheet document. 1. Is the sum between the two blocks listed the more blocks the more #'s to the equation...
84. ### easy geometry

Can you please show you solution and final answer here. Thanks! 1.Find the altitude,perimeter and area of an isosceles trapezoid whose sides have lengths 10 cm, 20 cm, 10 cm and 30 cm. 2. The formula A=P(a+r)^2 is used to find the amount of money A in an account after P pesos ...
85. ### Probability

After an exam, a teacher starts checking student attempts. Based on the marks he gives, he also awards a letter grade from any of the 5 letter grades; A, B, C, D, and F. How many papers on average should he expect to check to see all 5 grades awarded? At the end, generalize, ...
86. ### Geometry

Point A(-5,-40) is rotated 90 degrees counterclockwise about the point (-2,-3). What are the coordinate of A' after the rotation? Answer: A'(-1,-6) Please explain how they got the answer.
87. ### Algebra

After one round in a card game, your score was 42 points. After the second round, your score was -2 points. How many points did you lose in the second game?
88. ### Algebra

What is the rule of a function table to find the number of inches in 4, 6, 8, and 10 feet?

Use the digits 3, 7, 1, 5 to write a number that rounds to each of the following. 2,000 3,500 6,000 7,400

Use the digits 3, 7, 1, 5 to write a number that rounds to each of the following 2,000 3,500 6,000 7,400
91. ### physics help

The magnitude of the velocity of a particle which starts from rest 2 ft below the origin when t = 0 and moves along a vertical axis is directly proportional to the time after starting. The displacement of the particle during the time interval from t = 1 sec to t = 2 sec is 3 ...
92. ### physics help

The magnitude of the velocity of a particle which starts from rest 2 ft below the origin when t = 0 and moves along a vertical axis is directly proportional to the time after starting. The displacement of the particle during the time interval from t = 1 sec to t = 2 sec is 3 ...
93. ### Calculus

Find the extreme value(s) of the function f(x)=1/(1-x^2). I tried, and for the first derivative I got -1/(2*sqrt((1-x^2)^3)). I then found critical values of the function to be -1 and 1. However, the textbook says that the minimum value is 1 at f(0), and I have absolutely no ...
94. ### algebra 1

A blue marlin can swim at speeds of about 50 miles per hour. What is that speed in feet per second, to the nearest whole number? (Remember, there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour.)
95. ### Physics

A spy satellite is in circular orbit around Earth. It makes one revolution in 6.01 hours. (a) How high above Earth's surface is the satellite? [Answer in Km] (b) What is the satellite's acceleration? [Answer in m/s^2] I see this posted over and over again and I have about 4 ...
96. ### physics 1

Problem 1) I don't understand how they got the answers for A) and B) : Ima Rushin can travel from Milwaukee Avenue to the school entrance gate at a constant speed of 22.5 m/s when the lights are green and there is no traffic. On Wednesday, Ima is stopped by a red light at ...
97. ### math

jake has decided upon three business ventures to invest in. The total cost of investing in all three ventures will be \$15,000. Investing in the first venture will cost \$3,000 more than investing in both the second and the third venture. According to Jake’s research, his ...
98. ### maths

A bus traveled from LA to CA. It covered 115 km in the first one and a half hour and the remaining 95 km in two and a half hour. What was the average speed in km/h for the whole trip?
99. ### Maths question

(a) find the largest four digit number which has a total of exactly 3 factors assuming that one and d number itself are factors. (b) find a and b greater than zero such that a^2 = b^3. (c) find x and y such that x^3 y^3 =1729
100. ### Calculus

Simplify. State the nonpermissible values. (3t^2+3t-6/2t^2-2t-4)(4t^2+4t-24/3t^2+6t-9) This is the way I tried solving this: 3t(t-1)6(t-1)/2t(t-1)4(t-1)*4t(t-2)12(t-2)/3t(t+1)9(t-1) (3)(t)(t-1)(2)(3)(t-1)/(2)(t)(t-1)(2)(2)(t-1)*(2)(2)(t)(t-2)(2)(2)(3)(t-2)/(3)(t)(t-1)(3)(3)(t-...