# 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?

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## Math

1) Let f(x)=9x-2;g(x)=under square root 3x+7. Find each of the following. A) domain of (f+g) B) domain of fg C) domain of f/g (my answer is all r real number am i right?) 2) Let f(x)=3x-2;g(x)=5x+1. Compute the indicated value. A) (fogof)(2) i don't get -
## Math Binomial theorem

I'm preparing for a test and one of the questions in my text is as follows: In a trivia contest,Sam has drawn a topic he knows nothing about, so he makes random guesses for the 10 T/F questions. Use the binomial theorem to help find a)the number of ways -
## Math

I walked 2/7 of a mile in 4/9 of an hour. at this rate, how far will I have traveled after an hour? -
## math

if a man jobs 3 1/2 miles in 3/4 of an hour, how far can he jog in one hour? -
## Math

if you worked part of an hour, ex:1.5 hour, how much money would you earn? -
## Algera check answers

Which of the following is the most appropriate unit to describe the rate at which data is transferred using the internet? A. Megabits per second, because the independent quantity is time in seconds and dependent quantity is amount of data in megabits B. -
## Math

Use distributive property to write each expression as an equivalent expression then evaluate each one 1.3(4+5) 2.(2+8)6 3.4(9-6) 4.8(6-3) 5.5(200-50) 6.20(3+6) 7.(20-5)8 8.50(8+2) 9.15(1,000-200) 10.3(2,000+400) 11.12(1,000+10) 12.7(1,000-50) Any help -
## Quantum Physics

Suppose we ran m steps of Grover's algorithm on some function f (which has one marked element y) and the resulting superposition was exactly |y⟩. (a) What was the state after the (m−1)-th step? Note that you can describe the superposition by -
## Accounting

How would I find the formula for these problems? Please help me.. I would really appreciate it.. thank you Calculate the present value of the following: $7,000 in 5 years at an annual discount rate of 6% $7,000 in 5 years at a semiannual discount rate of -
## Calculus

BoxedNGone truck rentals calculates that its price function is p(x)=160-2x,where p is the price (in dollars) at which exactly x trucks will be rented per day. Find the number of trucks that BoxedNGone should rent and the price it should charge to maximize -
## physics

An object whose moment of inertia is 2.5 kg · m^2 experiences the torque shown in the figure below. What is the object's angular velocity at t = 1.6 s? Assume it starts from rest. webassign[.]net[/]knight[/]p13-21[.]gif So far, I know that that to find -
## Algebra

1. Determine whether the relation is a function. {(-2, -7), (3, -5), (6, -4), (9, -6), (10, -1)} 2. Determine whether the relation is a function. {(-5, -4), (-2, 9), (-1, -2), (-1, 7)} 3. Determine whether the relation is a function. {(-7, -1), (-7, 2), -
## Algebra

Manuel plans to install a fence around the perimeter of his yard. His yard is shaped like a square and has an area of 40,000 square feet. The company that he hires charges $2.50 per foot for the fencing and $50.00 for the installation fee. Write a -
## Math

write a number that rounds to 47,000 when rounded to the nearest thousand and to 50,000 when rounded to the nearest ten thousand. -
## Science

A dolphin has 5,200,000 ppm of DDT. Phytoplankton contains 10 ppm. How many times greater is the concentration of DDT in the dolphin. My answer was 520,000 times greater Is my answer correct? Also a -
## Business Finance

If fixed costs are $20,000,000, variable cost per inpatient day are $450, average length of stay is 3.3 days, and volume is 8,000, what revenue per patient day must the hospital make in order to make a profit of $500,000? -
## Maths

The number of apples in a basket is between 60 and 120. If i put these apples into bags of 5, there will be a remainder of 1 apple. If i put these apples into bags of 8, there will be a remainder of 6 apples. Find the total number of apples in the basket. -
## maths exponential functions

Hi I have a Maths quiz on Monday and i have been of sick for the past week. I received these review questions from my teacher via email and he isn't replying to my questions i really do not get these questions if someone can do these and explain to me how -
## Math

Two RSM students are standing 20ft apart and spot Mrs Rifkin. If they immediately run opposite direction with speeds of 300 ft/min and 200 ft/min, how many hours will pass until they are 3,000 ft apart? -
## Math Please Help

The function Q(x) has been transformed from the function f(x) = x^4. The mapping rule for the function can be written as (2x + c, 4y + d). If the coordinate(1/2 ,1/16) on the function f(x) is transformed to (3,5) on Q(x), determine the value of c and d. -
## Math

The odometer on a car shows 26962 km. Notice that this number is a palindrome. After the car has travelled two hours at a constant rate, the odometer shows the next possible palindromic number. How fast is the car travelling? -
## World History

4. What was a consequence of British imperial rule in India? a. Indian culture exceled and the people of the country became wealthy. b. Indian people were massacred in Jallianwala Bagh and their culture decimated. c. Gandhi became a prominent leader for -
## math help please

Write a ratio for the situation in three ways, comparing the first quantity to the second quantity. A zoo has 17 monkeys and 12 chimpanzees. (1 point) 12 to 17, 12:17, twelve over seventeen17 to 12, 17:12, 17 over 1217 to 22, 17:22, 17 over 1217 to 12, -
## cal

1. Given the function f(x) and g(x) below determine the following: A) f o g(3) ANSWER: B) f o g(-4) ANSWER: C) g o f(0) ANSWER: D) f o f(1) ANSWER: E) g o g(-2) ANSWER: -
## Calc

"Let f(x,y)=2(x^2)y-(y^3)+x-4. a) Find the local linearization of f at (3,1) b) Compute the directional derivative of f at (3,1) in the direction towards the point (-2,3). At (3,1), is the function f increasing or decreasing in the direction towards the -
## Maths

The sum of the 2digits of a 2 digit number is 15. If th number formed by reversing the digits is less than the orginal number by 27.Find the orginal number -
## Maths

The digits of a three digit number are in AP&their sum is 15.The number obtained by reversing the digits is 594 less than the original number.Find the number? -
## math

the sum of two number is 39 . twice the first number plus 3 times the second numberis 101. find the numbers. x+x+1=39 2x=38 x=19 twice the first number 19 it would be 38 and 57 b three times the second number. i know is wrong kind o but please tell me. -
## maths

a two digit number is such that the sum of its digits is 11. the number is 27 greater tha the number obtained by interchanging the digits. find the number -
## math

a disc jockey must play 14 commercial spots during 1 hour of a radio show. each commercial is either 30 seconds or 60 seconds long. if the total commercial time during 1 hour is 11 min, how many 30 seconds commercials were played that hour. how many 60 -
## college

Electro-Rad Inc., a developer of radiology equipment, has stock outstanding as follows: 50,000 shares of 2%, preferred stock of $50 par, and 100,000 shares of $25 par common. During its first four years of operations, the following amounts were distributed -
## Calculus - PLEASE HELP!!

For any real number x there is a unique integer n such that n≤x<n+1, and the greatest integer function is defined as ⌊x⌋=n. Where are the critical values of the greatest integer function? Which are local maxima and which are local -
## English

Question 9 How is an amount indicated for a noncount noun? add an -es to the noun include a noncount noun first add an -s to the noun include a count noun first Question 10 Count nouns are usually what type of words? wrong specific limitless abstract -
## spanish

Are my answers correct? Use el adverbio TAN o una forma del adjetivo TANTO para formar frases de comparación en cada instante. 10. China es un país con mucha gente (1.300.000.000 personas). Aunque es más grande, Los Estados Unidos sólo tiene -
## Finance

Anderson International Limited is evaluating a project in Erewhon. The project will create the following cash flows: Year Cash Flow 0 –$690,000 1 243,000 2 175,000 3 256,000 4 231,000 All cash flows will occur in Erewhon and are expressed in dollars. In -
## Calculus (Answer Check)

Are my answers right? If they are wrong you don't have to tell me how to do it its okay =) A particle starts at time t=0 and moves along the x-axis so that its position at any time t(greater or equal to) 0 is given by x(t)=(t-1)^3 (2t-3) 1.find the -
## Calculus

Find the average value of the function f(x) 8x^2-9x+8 on the interval [3,5]. Find the value of the x-coordinate at which the function assumes it's average value The average value is ? the x-coordinate is ? Please help and showing work is much appreciated. -
## math

what number is 32% of 1,000 -
## Science. Check Answer

Decided wheather work is being done or not. If it is being down write W. If not write N 1. You throw a baseball a distance of 20 meters. My answer: W 2. You lift a suitcase to put in the overhead luggage compartment of a plane. My answer: N 3. You push -
## english

I can't put this sentence together and have it sound right. Any suggestions? Women have contributed much to American culture of great value. or Women have contributed much of great value to American culture. HELP! -
## pre cal

A number of cells decreases by 36% every 9 hours. By what percent does it change every 1 hr... 40 mins...2days -
## Math

Which display is best to determine the relationship between the number of hours worked and the amount of money paid? -
## Probabilities and Statistics

How does the number of study hours change during a semester? How do you determine what graph to use? I am so confused -
## Science

What is the force that results from a 3,000 kg car accelerating at 20.00 m/s2? A. 150.0 N B. 3,000 N C. 3,020 N D. 60,000 N** I think D -
## Trig

A swimmer heads perpendicular to a 2-miles-per-hour current. His speed in still water is 1.8 miles per hour. Find the actual speed of the swimmer and his direction angle, 0 (the zero right her is supposed to have a line through the middle of it, I think it -
## Trig

A swimmer heads perpendicular to a 2-miles-per-hour current. His speed in still water is 1.8 miles per hour. Find the actual speed of the swimmer and his direction angle, 0 (the zero right here is supposed to have a line through the middle of it, I think -
## Algebra

The function w(x) = – 0.01x^2 + 0.27x + 8.60 can be used to estimate the number of selfemployed workers in the U.S., in millions, x years after 1980. How many self-employed workers were there in the year 1995? A. 9.8 million B. 10.4 million C. 11.15 -
## AED 200

What are the fundamental differences between Western philosophies and Native North American ways of knowing? (Generally, how does each culture view the world and education?) How can you incorporate seemingly different ways of knowing in your curriculum? -
## Physics

There is a figure with a +2.0 UC charge on the left and a -2.0 uC charge on the right. P is in the center between the two charges. They are 5.0 cm apart. 1) Find the electric field 5.0 cm to the left of P. 2) Find the electric filed 5.0 cm directly above -
## math

in the figure above,about how much did the sales of the product increase from 1979 to 1980? 1] 900 2] 2,500 3] 90,000 4]160,000 5] 250,000 please help me -
## accounting

Making a t account need to know how to enter this Recognized operating expenses for 2009 of 30,000 including 5,000 on credit and 25,000 cash -
## 6th gr,ade math

Estimate each sum or difference by rounding to the greatst place value. 38,347+17,039 would it be 40,000+20,000=60,000 -
## math

Please show me how to set up and solve: You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range is reasonable for the -
## math

A manufacturer of open tin boxes wishes to make use of pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the four corners and turning up the sides. a. Let x inches be the length of the side pf the square to be cut out; express the -
## Math Help

For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1,000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price. 2x + 9p - 93 = 0 and 3x - 14p + 108 = 0 a. equilibrium -
## Math-Logarithmic function

Find the equation of a logarithmic function whose graph has x-intercept 8, a vertical asymptote at x=0, and which passes through the point (1/2,4) -
## Math-Logarithmic function

Find the equation of a logarithmic function whose graph has x-intercept 8, a vertical asymptote at x=0, and which passes through the point (1/2,4) -
## math

1. find the values of s for which each function is continous: f(x) = [ x if x less than or equal to 1] [2x-1 if x greater than 1] 2. determine all values of x at which the function is discontinuous: f(x) = (x^2-2x)/(x^2-3x+2) Could someone please tell me -
## High School Pre Calculus

This is probably really easy but I am confused. #1 Find the domain and graph the function: f(x)= sq root x-1 #2 Graph the function g(x)=(x + 3)^3 -
## Math-- algebra 2

write a function rule for the following table-- x f(x) 3 9 4 16 5 25 6 36 I know how to find the function rule, it's just that this is a bit confusing since the f(x) isn't constant. Thank you so much! -
## College Algebra

Find a record breaking temp. for a city. Include name of city, temp., and record broke. Give the formula for converting degrees F. to degrees C. Using the formula show how to convert to degrees C. Part 2) Find real life application of a linear function. -
## Calculus

The function f(x) is defined as f(x) = -2(x+2)(x-1)^2 = -2(x^3 -3x + 2) on the open interval (-3,3). 1. Determine the x-coordinate of the absolute minimum of f(x) in the open interval (-3,3). Justify your answer. 2. Find all values of x for which f(x) is -
## Physics Circular motion

A car starts from rest on a curve with a radius of 110m and accelerates at 1.2m/s^2. Through what angle will the car have traveled when the magnitude of its total acceleration is 2.1 m/s^2? I thought i got the answer which was 0.75 rad or 43 degrees but it -
## Accounting

Journalize the following transactions and omit the explanations. A. ABC Corporation purchased $15,000 of office furniture by putting $7,000 down in cash and the rest on account on April 8. B. The corporation paid $60,000 for a two-year lease on April 19. -
## college algebra

1. answer the following for the given quadratic function f(x)=x^2+10x-11 a.what is the vertex (h,k) of f? b. what is the axis of symmetry? Please show work. 2. if f(x)=Inx, g(x)=e^5x, and h(x)=x^6 find the following a. find (fog)(x)= what is the domain of -
## algebra- Please help

10)The formula b=30a is used in New England to estimate the minimum furnace output, b, in BTU's for a modern house with a square feet of flooring. A) determine the minimum furnace output for a 2100 ft squared modern house. B) solve formula for a Answer:a) -
## Math

You have 11 cups of flour. It takes 1 cup of flour to make 24 cookies. The function c(f) = 24f represents the number of cookies, c, that can be made with f cups of flour. What domain and range are reasonable for the function? -
## math

You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The function c(s) = 24s represents the number of cookies, c, that can be made with s cups of sugar. What domain and range is reasonable for the function? -
## Accounting

If fixed costs are $240,000, the unit selling price is $32, and the unit variable costs are $20, what are the old and new break-even sales (units) if the unit selling price increases by $4? a. 12,000 units and 15,000 units b. 7,500 units and 6,667 units c. -
## math

Using the numbers 1 through 9 with no repeats, find a 9 number such that: the first digit is divisible by 1, the first two digits are divisible by 2, the first 3 digits are divisible by 3, and so on until we get to a 9 digit number divisible by 9. You -
## Chemistry-Molecular models

Select a compound and explain the advantages and disadvantages of using ball-an-stick, space-filling, and lewis structure to represent compound. What I have so far: The advantages for all the models are that you can see the shape of the atoms, but unlike -
## Algebra 2

would some one please check these for me 1. divide x^2-36y^2 over 5x^2+30y divide (x^2-6xy) A: x+6y over (5x)(x^2+6y) 2. Add. Express your answer in simplest form. 2x 0ver x^2+15x+54 + 4over x+6 A: 6 over x+9 3. solve: (9 over x-5) -1= 8 over x+5 A: -10 -
## Computers

1. There is a requirement to store 750 records. The number of buckets is 10,000. The number of slots per bucket is 3. What is the PPD? 2. Hashing Algorithm Computation The record key is 1234AB6. The number of buckets is as per the PPD computation above in -
## Math 124

There are several ways you might think you could enter numbers in WebAssign, that would not be interpreted as numbers. N.B. There may be hints in RED!!! You cannot have commas in numbers. You cannot have a space in a number. You cannot substitute the -
## Computers

1. There is a requirement to store 750 records. The number of buckets is 10,000. The number of slots per bucket is 3. What is the PPD? 2. Hashing Algorithm Computation The record key is 1234AB6. The number of buckets is as per the PPD computation above in -
## English grammar

Please help me to arrange correct grammar below: Nov. 18,2015 Please be informed that starting on Nov.23, 2015 Due to high consumptiom for the electric bills The internet usage charge will be P15.00 per hour and there will be no more promo for P25.00 2 -
## math

when babysitting, emily charges $5.50 per hour before midnight,and $4.50 after midnight.she earned $28.75 for taking care of the Bradford triplets until 1:30 in the morning. What time did Emily begin her babysitting job? plzzzzzzz help me! i've wasted 2 -
## Math

Colleen works 40 hours in an office and earns $300 per week. One week she worked 46 hours. What will her earnings be for the week she worked 46 hours? Include your calculations below. -
## precalc

A certain drug has a half-life of 2 hours in the bloodstream. The label says to take the drug every six hours. About how much of the drug will be in the bloodstream a month after the patient begins taking 700 mg every six hours? -
## English

1. What are your opening hours? 2. When are your opening hours? 3. What is your opening hours? 4. When doe the museum open? 5. We are closed on Mondays? (Would you check the sentences? Are all OK? What is the part of speech of 'closed'?) -
## Pre-Calculus

The Fiedler family has up to $130,000 to invest. They decide that they want to have at least $40,000 invested in stable bonds yielding 5.5% and that no more than $60,000 should be invested in more volatile bonds yielding 11%. How much should they invest in -
## algebra (please help)

A small software company invests $30,000 to produce a software package that will sell for $64.95. Each unit can be produced for $42.25. (Round your answers to the nearest whole number.) (a) How many units must be sold to break even? units (b) How many -
## Algebra

A small software company invests $30,000 to produce a software package that will sell for $64.95. Each unit can be produced for $42.25. (Round your answers to the nearest whole number.) (a) How many units must be sold to break even? units (b) How many -
## Art and Culture: Hellensitic Greece

What is the purpose of the Altar of Zeus in Pergamum? Who is responsible for paying for or commissioning the piece? How was it made? What is the meaning of this piece and what does it express or reveal about its creator? What aspects of the Hellenistic -
## math

Find the % of Discount Regular Price $25,000 Sale Price $22,000 -
## math

Find the % of Discount Regular Price $25,000 Sale Price $22,000 -
## Calculus

The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (0,1) where f'(c)=0. f(x) = x3 - 2x2 + x, [0, 1] Round your answer to two decimal places. -
## calculus

Find the average rate of change of the function over the given interval. You must reduce and simplify your answer, if possible. a. f(x)=cot x, [pi/6, pi/2] b. f(theta)= -2 + cos (theta), [-pi, 0] -
## calculus

Find the arc length of the graph of the function over the indicated interval. (Round your answer to three decimal places.) y = ln (sin(x)) ,[π/4,3π/4] -
## Maths

Thanks steve for a brilliant answer! Got one last one which is gobbledegook to me. Two functions f and g are defined by f:x(arrow)x^2 + 3 g:x(arrow)2x + 1 find: a) the function fg b)solve the equation f(x) = 12g^-1(x) Many Thanks!!!! -
## Calculus 1

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x^(5)e^(-6x) -
## math- 165 calculas

Find the horizontal asymptote of the graph of the function. (If an answer does not exist, enter DNE.) f(x) = x^3 − 3x^2 + 5x + 1/ x^2 − 5x + 3 -
## college calculus

find a and b so that f(x)=x^2+ax+b has a local min at (6,-5) i found the derivative: f'=2x+a then i found a 0=2x+a 0=2(6)+a 0=12+a a=-12 but i can't seem to get the correct value for b. i plugged -5 into the original function, but my book says the answer -
## Math

The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (0,1) where f'(c)=0. f(x) = x3 - 2x2 + x, [0, 1] Round your answer to two decimal places. -
## Math

F(x) = -x^2 - x +2 graph function identify the vertex and axis of symmerty. Can some one explain the steps to get answer? I know I need to find the points on a graph just so confused -
## Calculus

find the value of a, if it exists, such that the following function is continuous at X = 2. piecewise function f(x)={x^2-3x+1, if x>2; a, if x=2; 3-2x, if x<2 I found the limits from left and right of 2 = -1 so the limit exists but I don't know how -
## MATH

If the demand function for a commodity is given by equation p^2+12q=18 and the supply function is given by the equation 700-p^2+6q=0, find the equilibrium quantity and price -
## Algebra Math

The function given by f (x) = 9/5 x + 32 converts x degrees Celsius to an equivalent temperature in degrees Fahrenheit. (a) Is f a one-to-one function? Why or why not? (b) Find f -1(x) and interpret what it calculates -
## ALGEBRA

the total cost for hiring a certain number is a flat rate of $35 plus $9.50/hour. can you write an equation that shows the relationship between the two quantities. -
## quantitative analysis

The city of New Berlin is considering making several of its streets one-way. What is the maximum number of cars per hour that can travel from east to west?