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 86

1. math

The projected number N of Wi-Fi enabled cell phones (in millions) in the U.S. can be modeled by the function N=-0.4x^2+21x+35, where x is the number of years since 2009. If the trend continues, find the year in which the projected number of Wi-Fi enabled cell phones will first...
2. Math 350..help!

How would I start this? The amount that workers contribute monthly for health insurance premiums can be modeled by A(t)=0.07t^3-3.1t^2+54.3t-230, where A is the monthly amount contributed and t is the number of years after 1980. Find the instaneous rate of change in monthly ...
3. math

eddie is thinking of a number between 149,000 and 150,000 his number has a tens digit that is 7 more than its ones digit. The sum of the tens and ones digit is 9 the sum. the hundreds digit is 0 what is eddies number
4. psychology and charlene

MY QUESTION after you read the story: Do you agree/concur with what I told Charlene ? Charlene (who is very thin) went to a coffee shop for lunch and a girl who is there was eating lunch with her brother. The girl saw Charlene eating a bagel and cream cheese and said; You ...
5. Math

The bar graph shows the cumulative number of death form AIDS in the US, from 1990 through each of the years 1996-2002. The data in the graph can be modeled by the following polynomials, in which f(x) and g(x) represent the cumulative number of AIDS deaths x years after 1990 F(...
6. Pre-Calculus

The median salary for male workers for the years 1975-2006 can be modeled by the function thousand dollars, where x is the number of years from 1970. Find the minimum on the graph of this function between x = 10 and x =30 and interpret it.(Use the window [10, 30] by [40, 45...
7. Urgent math

A man gets a job with a salary of \$40,000 a year. He is promised a \$1900 raise each subsequent year. Find his total earnings for a 10-year period. I got 59,000 and it is wrong what it the correct answer?
8. Algebra

Job A pays Edith \$4 an hour. Job B pays her \$8 an hour. She will work both jobs. She is able to work no more than 15 hours a week. She wants to earn at least \$80 a week, working a combination of both jobs. Write a system of inequalities that can use used to represent the ...
9. PHYSICS

An electron is accelerated horizontally from rest in a television picture tube by a potential difference of 1.00 × 104 V. (a) Find the final velocity after the original acceleration period. (b) It then passes between two horizontal plates 6.0 cm long and 1.0 cm apart which ...
10. English

1. Don 't hang up. Hold on, please. 2. Don't hang up. Hang on, plese. (Can we use 'Hang on' instead of "Hold on' in telephone conversation?) 3. He and I made poses like models. 4. He and I made a pose like models. (Which one is correct? Do we have to use the plural form 'poses...
11. English Expression

Let's find out how Parents' Day is different from country to country, and let's learn the expressions related to congratulation or praise. O Answering praise O Saying one's own opinion O Answering praise or congratulation How do you express the mind of gratitude? What is the ...
12. math

The ratio of the number of postcards john had to the number of postcards Zachary ha d was 4:9. Zachary had 45 more postcards than John. After giving some postcards to John, Zachary had 6/7 as many postcards as John. (A) How many postcards did Zachary have in the beginning? (B...
13. cal3

Find and classify all local minima, local maxima, and saddle points of the function f(x,y)= -3yx^2-3xy^2+36xy I really need help answering this one!! Please answer in detail! Thank you
14. math

5. A rubber ball dropped on a hard surface takes a sequence of bounces, each one 3/5 as high as the preceding one. If this ball is dropped from a height of 15 feet, what is the total distance it has traveled after it hits the surface the fifth time? The answer is 54 and 21/125...
15. algebra

The sum of two numbers is 48. If one third of one number is 5 greater than one sixth of another number, which of the following is the smaller number?
16. math

1) a company manufactures and sells a specialty watch. the financial reserach department detemines that at the price of \$88 each, the demand would be 2,000 watches and at \$38 each the demand will be 12,000 watches. A) assuming a linear relationship between price and demand, ...
17. math

1) a company manufactures and sells a specialty watch. the financial reserach department detemines that at the price of \$88 each, the demand would be 2,000 watches and at \$38 each the demand will be 12,000 watches. A) assuming a linear relationship between price and demand, ...

1. Which line models the data points better and why? blue, because the data points are all close to the line red, because it goes through one of the points i think that is A
19. Easy math question

Find the inverse of the one-to-one function. f(x)= (2x+5)/7
20. Math

Multiple Choice   Choose the best answer. For questions 1–3, rewrite the expression using exponents. 4 × 4 × 4 × 4 × 4 A. 54 B. (My choice) 45 C. 44 ====== 3 × 3 × 3 × 3 A. (My choice) 34 B. 43 C. 35 ===== 10 × 10 × 10 A. 310 B. 101 C. 103 (My choice) ====== For ...
21. UIC

Bernie and Pam Britten are a young married couple beginning careers and establishing a household. They will each make about \$50,000 next year and will have accumulated about \$40,000 to invest. They now rent an apartment but are considering purchasing a condominium for \$100,000...
22. sc

A car is moving on a straight road due north with a uniform speed of 50km/hour when it left through 90degree if the speed remains unchanged after turning the change in velocity of the car in turning process is
23. Precalc Math

Suppose you want to end up with \$5,000 in a bank account after 4 years earning a rate of 3.5% compounding monthly. How much would you have to initially invest? Round to the nearest dollar. Thanks a lot in advance!! :)
24. Physics

Two blocks of masses m1 = 2.00 kg and m2 = 3.70 kg are each released from rest at a height of h = 5.60 m on a frictionless track, as shown in the figure below, and undergo an elastic head-on collision. (Let the positive direction point to the right. Indicate the direction with...
25. Physics

Two blocks of masses m1 = 2.00 kg and m2 = 3.70 kg are each released from rest at a height of h = 5.60 m on a frictionless track, as shown in the figure below, and undergo an elastic head-on collision. (Let the positive direction point to the right. Indicate the direction with...
26. financial management

Can anyone help me witht his I am so lost. The following tabulation gives earnings per share figures for the Foust Company during the preceding 10 years. The firm’s common stock, 7.8 million shares outstanding, is now (1/1/03) selling for \$65 per share, and the expected ...
27. physics hw need help

A disk with a radial line painted on it is mounted on an axle perpendicular to it and running through its center. It is initially at rest, with the line at q0 = -90°. The disk then undergoes constant angular acceleration. After accelerating for 3.1 s, the reference line has ...

rocket launched from a 90 meter high building, upward speed of 20 meters per second. what will it's height be after 3 seconds. given the polynomial h + vt -4.9t^2 90 +(20) (3) - 4.9 (3)^2 Is the answer 130.4 ?

High speed stroboscopic photographs show that the head of a 188 g golf club is traveling at 52.5 m/s just before it strikes a 45.5g golf ball at rest on a tee. After the collision, the club head travels (in the same direction) at 44.0 m/s. Find the speed of the golf ball just ...

The simple interest on an investment is directly proportional to the amount of the investment. By investing \$4250 in a certain bond issue, you obtained an interest payment of \$106.25 after 1 year. Find a mathematical model that gives the interest I for this bond issue after 1 ...
31. physics

A particle of mass and initial velocity strikes a stationary particle of mass . The collision is elastic. It is observed that after the collision the particles have equal and opposite velocities: Find (a) the ratio ; (b) the velocity of the CM (before and after the collision...
32. calc

Why would fZ(x) =2x^3 on [-1,1] fail to satisfy the conditions of the Mean Value therorm? It is continuous and differential. So what is wrong with it I can't figure it out. I agree with you. The theorem should apply for that "fZ" function over that interval. Is the Z after f ...

A: I am choosing an integer. I then subtract 10 from the integer, take the opposite of the result, add -3, and find the opposite of the new result. My result is -3. What is the original number? B: Judy wants to do the activity in part (a) with her classmates. Each classmate ...
34. Math

Determine whether the function is one-to-one. If it is, find itd inverse. f(x)= 3x+4 over 5
35. Calculus

Determine whether or not each of the following functions is invertible. Give your reasons for believing the function is invertible or not. Please check this for me. I am not sure if I am adequately explaining my answer and if my answer is right. a) y= log10(1 + 1/x) y'= ((1/(1...
36. math

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

Write the number in scientific notation. 0.000209 8,724,000,000
38. Math

What is the next number in the pattern 20,000;4,000;800;160;____

What number is a perfect square? A. 36 B. 144 C. 1,000 D. 36,000
40. Math

Ricardo spends \$3.50 for lunch each day. Write and solve an equation to find how long it takes him to spend \$21.00 3.50x=21.00 3.50(6)=21.00 6. A spiral toy that can bounce down a flight of stairs is made from 80 feet of wire. Write and solve an equation to find how many of ...
41. Math, Pleas help.

Please help me with the questions provided below; I have studied in Math, but I want to make sure my answers are accurate to ace. 1.) Solve the proportion. 5/8= y/40. A.) 25 B.) 13 C.) 11 D.) 10 I chose answer choice A for number one since 8x5=40, and 5x5=25. I got my answer ...
42. Math

I have trouble solving distance rate problems. I have a worksheet that I want to complete. I will post one question in hopes that someone can break it down so I am able to solve other distance rate problems. (Step by Step please.) Thank you. An aircraft carrier made a trip to ...
43. Math

How would you work this problem? The odometer of the family car read 15951 when the driver noticed that the number was palindromic. "Curious," said the driver. "It will be a long time before that happens again." But two hours later, the odometer showed a new palindromic number...
44. Math

How do I write 90,000,000+5,000,000+900,000+60,000+200+80+5 in standard notation
45. Physics

Suppose you're driving to the city at a constant speed of 75 mi/h for 50 miles. Then construction slows you to a pokey rate of 45 mi/h for the remainder of the trip. You arrive after driving 2 hours and 15 minutes. How far do you live from the city?. A. 180 mi B. 120 mi C. 200...
46. Physics

Suppose you're driving to the city at a constant speed of 75 mi/h for 50 miles. Then construction slows you to a pokey rate of 45 mi/h for the remainder of the trip. You arrive after driving 2 hours and 15 minutes. How far do you live from the city? A.180 mi B.120 mi C.200 mi ...
47. Math helppp

Two small planes leave the Abbotsford airport at the same time. The first flies at 225km/h at a heading 320°, while the second flies at 190km/h at the heading of 70°. How far apart are they after 2 hours?
48. Algebra

I only need the speed and direction of the wind. An airplane has an airspeed of 300 mph, and it is traveling to the southwest. After two hours it is 282.9 miles from its starting point, at a compass heading of 228.6° from the starting point.
49. Math

I only need the speed and direction of the wind. An airplane has an airspeed of 300 mph, and it is traveling to the southwest. After two hours it is 282.9 miles from its starting point, at a compass heading of 228.6° from the starting point.
50. math

Two cards are randomly drawn from a standard deck without replacing the card after the first draw. Find the probability of drawing a spade followed by a heart. Please type your answer as a fraction. Do not forget to reduce if needed!
51. Algebra

Reposting: The geometric mean and arithmetic mean of the two numbers are 8 and 17 respectively. 1. find the bigger number 2. find the smaller number 3. find the harmonic mean Thanks in advance to whoever will answer :)
52. Physics

A delivery person pulls a 35 kg box across the floor. The applied force exerted on the box is 122.5 N [38o above the horizontal]. The force of kinetic friction on the box has a magnitude of 55.0 N. The box starts from rest. Using the Work-energy theorem, determine the speed of...
53. grammar

Select the correct sentence: a. We will retreat the patient after we re-create his chart. b. We will retreat the patient after we recreate his chart. c. We will re-treat the patient after we re-create his chart. d. We will re-treat the patient after we recreate his chart. I am...
54. ctu

Stuart’s car loan reached a maturity value of \$14001.00 after 3 years. Find the rate on Stuart’s loan if the principal he borrowed was \$12474.00 Use the formula to find the interest; then use to find the rate in decimal form. Leave your answer in percentage form rounded to...
55. General Physics

A 0.500 kg sphere moving with a velocity (2.00i - 3.50j + 1.00k) m/s strikes another sphere of mass 1.50 kg moving with a velocity (-1.00i + 2.00j - 2.80k) m/s. (a) If the velocity of the 0.500 kg sphere after the collision is (-1.00i + 3.00j - 8.00k) m/s, find the velocity of...
56. math

Show that a function f(n)= 2n^3+n^2+6n+3 always produces a number that is divisible by an odd number greater than 1, for any natural number, n.
57. Algebra

The distance from the Earth to the sun is 93,000,000 miles? Write this number in scientific notation. A scientist measures a speck of sand as having a diameter of 0.00000034? Write this number in scientific notation.
58. language arts, plays

On October 1, 1956, The Diary of Anne Frank opened simultaneously in seven cities in Germany. At the end of the play, the audience sat silently without applauding. Not long after the play’s opening, Germans began openly expressing remorse for the Holocaust. This was an ...
59. Math

In order to cover upfront expenses, Pinecrest Enterprises must be able to come up with \$50 million of its own capital reserves. Presently, Pinecrest has \$37 million in capital reserves available, and can add \$1.5 million per month . After how many months will Pinecrest ...
60. Math

How do you write 4,000,000,000 + 20,000,000 + 500,000 + 60,000 + 1,000 + 300 + 40
61. Physics

A neutron collides elastically with a helium nucleus (at rest initially) whose mass is four times that of the neutron. The helium nucleus is observed to rebound at an angle '2 = 41° from the neutron's initial direction. The neutron's initial speed is 5.6 105 m/s. Determine ...
62. Algebra

The function f(x)=(250x)/(100-x) models the cost, f(x), in millions of dollars, to remove x% of a river's pollutants. Use this functions to solve: If the government commits \$750 million for this project, what percentage of the pollutants can be removed?
63. Algebra

The function f(x)=(250x)/(100-x) models the cost, f(x), in millions of dollars, to remove x% of a river's pollutants. Use this functions to solve: If the government commits \$750 million for this project, what percentage of the pollutants can be removed?
64. Microeconomics: Cost of Production

Please help me with this question! QUESTION: Heaven Sub, a subway shop, has the following marginal product curve points for its hourly product: (0.5, 13) (1.5, 17) (2.5, 15) (3.5, 11) (4.5, 9) i) When labour increases from 2 to 3 workers, total product increases by _____ subs ...
65. algebra

Anthony's family plants 15 trees each weekend. If t is the total number of trees planted and w is the number of weeks, what is the expression for the total number of trees, t, planted after w weeks.
66. English

Occur age group after age group and repeat time after time Should there by any dashes or hyphens here? should it be like: occur age-group after age-group and repeat time-after-time ???
67. lang

can u please proof read this? My sister had really wanted an X-box 360, but my mom had told her it was too expensive, and if she really wanted it, she could go and buy it herself. She’s only 10 years old, so no one actually expected her to go out and actually get one, but ...
68. Sociology Multiple choice

Which of the following is(are) true of culture? a. culture would be significant whether people held it in common or not b. despite the cultural diversity that exists in American society, there are symbols, language patterns, belief systems, and ways of thinking that are ...
69. Physics

(b) Given that Icm = ½MR2 for a uniform solid wheel, (i) show that the rotational kinetic energy is half the translational kinetic energy for such a wheel. (ii) For the wheel of diameter 10 cm, find its final speed after traversing a distance of 10 m down an incline of 25º. ...
70. algebra

These are very easy to set up with a "chart" ---------Distance-----Rate---Time (D=RxT) slow way --6x----------x-------6 fast way - 5(x+7)-----x+7------5 so 6x = 5(x+7) 6x=5x+35+ x=35 The speed on the slower trip was 35 mph, and on the return trip 42 mph A consultant traveled 6...
71. math

Simplify using Pascal's Triangle: state a term number of formula and a value. What term number (Tn,r)is your answer? find the sum of row 12? I know that the sum is 2^12=4096, how would you find the term number?
72. Math

David and Sam had an equal number of marbles. After Sam gave 50 marbles to David, he had 5x as many marbles as Sam. Find the total number of marbles they had.
73. Math

What is the next number in the pattern 20,000; 4,000; 800; 160?
74. math

14,950,000,000 convert this number to scientific notation
75. Algebra I

1. Imagine you are at a gas station filling your tank with gas. The function C(g) represents the cost C of filling up the gas tank with g gallons. Given the equation a. What does the number 3.03 represent? b. Find C(2). c. Find C(9). d. For the average motorist, name one value...
76. calculus

X. An automobile with seven years of use has a commercial value of \$34057.7, but five years ago its value was \$72250. If the value of such automobile varies exponentially with the time. (36-41) 36.- What was the value of the automobile when it was new? 37.- What will be the ...
77. calculus

An automobile with seven years of use has a commercial value of \$34057.7, but five years ago its value was \$72250. If the value of such automobile varies exponentially with the time. (36-41) 36.- What was the value of the automobile when it was new? 37.- What will be the value...
78. college algebra

f(x)=1/x-2 g(x)=4/x find (fog)(x) my answer to this function was x/4-2x this is a possoble answer I believe to be 4x-8 is this correct
79. Math2

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 ...
80. Physics

A 3.3 kg block initially at rest is pulled to the right along a horizontal, frictionless surface by a constant, horizontal force of 14.8 N. Find the speed of the block after it has moved 3.2 m. Answer in units of m/s.
81. physics

A 9 kg block initially at rest is pulled to the right along a horizontal, frictionless surface by a constant, horizontal force of 18.8 N. Find the speed of the block after it has moved 3.3 m. Answer in units of m/s.
82. physics

A 3.2 kg block initially at rest is pulled to the right along a horizontal, frictionless surface by a constant, horizontal force of 19.4 N. Find the speed of the block after it has moved 2.5 m. Answer in units of m/
83. Physics

A 8.22 kg block initially at rest is pulled to the right along a horizontal, frictionless surface by a constant, horizontal force of 16.8 N. Find the speed of the block after it has moved 2.3 m. Answer in units of m/s
84. Physics

A 3.8 kg block initially at rest is pulled to the right along a horizontal, frictionless surface by a constant, horizontal force of 13.5 N. Find the speed of the block after it has moved 4.22 m. Answer in units of m/s
85. Physics

A 3.6 kg block initially at rest is pulled to the right along a horizontal, frictionless surface by a constant, horizontal force of 18.2 N. Find the speed of the block after it has moved 2.7 m. Answer in units of m/s
86. Physics

A 8.9 kg block initially at rest is pulled to the right along a horizontal, frictionless surface by a constant, horizontal force of 12.1 N. Find the speed of the block after it has moved 3.3 m. Answer in units of m/s
87. physics

A 2.25 kg block initially at rest is pulled to the right along a horizontal, frictionless surface by a constant, horizontal force of 19.6 N. Find the speed of the block after it has moced 4.72 m. Answer in units of m/s.
88. ENGLISH!!!!!!!!!

In the following sentence, should i say "it" or "they?" (becuase i put the word "each" and it is plural). "...then count the number of weights each wood held before it sank."
89. language arts

2. Count the number of times Lincoln uses a form of the word in the Gettysburg Address. What does this suggest about his attitude and purpose? (1point)
90. math

chip worked at the animal shelter for 6 hours each week for several weeks. he worked for a total of 42 hours. which of the following can be used to find the number of weeks chip worked at the animal shelter?
91. math

the ships leaves a port with a constant course and constant speed. after 2 hours the ship is 55miles south and 20 miles west of port. what is its course and speed?
92. math

Levi worked in his neighbor's yard for 7 hours trimming the trees. After trimming, he bagged up the trimmings in 38 minutes. How many minutes did he work in the yard altogether?
93. Algebra2

Complete parts a – c for each quadratic function: a. Find the y-intercept, the equation of the axis of symmetry and the x- coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph the function. 1. f(x) = 2x^2 2. f(x) = x^...
94. math

In how many years will rs ninehundred amount to rs one thousand one hundred and seventy at ten percent per annum please help me coz i must submit my homework after one days please help me and thankyou so much jiskha site love u
95. AP Calc (Limits)

I'm trying to factor this equation in order to find its limit, but I'm not sure how to go about it. I can get the answer by graphing on a calculator but I need to do it without one. Function: F(x)=(x^2-36)/(sqrt(x^2-12x+36)) left, right, and overall lim as it approaches 6
96. Math

A man earned \$ 3000 the first year he worked. If he received a raise of \$ 400 at the end of each year, what was his salary during the 15 th year? A) \$ 8600 B) None of these C) \$ 5600 D) \$ 9000
97. English

I rewrote all the sentences in the simple present as you suggested to me. Can you please check them? 1) The narrator writes that he has always been fond of pets. He has had pets at home since he was a child. He has continued having pets at home even after getting married. 2) ...
98. Algebra 2

1. The roots of the quadratic equation z^2 + az + b = 0 are 2 - 3i and 2 + 3i. What is a+b? 2. Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value, separated by commas...
99. math

Show that a function f(n)= 2n^3+n^2+6n+3 always produces a number that is divisible by an odd number greater than 1, for any natural number, n. 2n^3+n^2+6n+3 = n^2(2n+1) + 3(2n+1) = (2n+1)(n^2 + 3) what's next?
100. KEYBOARDING

1. When keying, it's important that you keep your eyes on the A. computer monitor. B. source copy. C. keyboard. D. home row keys. 2. In the inside address of a letter, how many times do you space after a period following the abbreviation Ms.? A. None B. One time C. Two times D...