# 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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1. ## Math

1. Write the ratio in the simplest form. 50:10 (a) 25:5 (b) 10:2 (C) 5:1* (D) 1:5 2. Solve the following proportion. p/6=7/8 (a) p=5.25 (b) p=8 (c) p=10.5* (d) p=42 3. Chris's uncle has a model car. The model is 6 inches long and 3 inches wide. The actual
2. ## Probability

A survey of 1,200 men and women asked, "Do you earn over \$75,000 per year?" The table below shows the responses for males and females. Male Female Total Income over \$75,000 585 485 1,070 Income below \$75,000 65 65 130 Total 650 550 1200 Based on these
3. ## mathj

Baker Company purchases a new delivery truck for \$20,000. The truck is expected to have a useful life of 90,000 miles before replacement, and a salvage value of \$2,000. In its first year the truck was driven 22,000 miles, and a further 19,000 miles in year
4. ## Math

Jan and Nika ride their bikes. Jan rides 5 miles per hour for 1 hour then rides at ten miles per hour for 30 minutes.Nika rides at a constant 8 miles per hour. the tripss cover the ssme distance. Forr hoew many minutes does Nika ride ?
5. ## Algerbra

A boat's crew rowed 10.5 miles downstream, with the current, in 1.5 hours. The return trip upstream, against the current, covered the same distance, but took 3.5 hours. Find the crew's rowing rate in still water, and the rate of the current.
6. ## algebra

A boat's crew rowed 13.5 miles downstream, with the current, in 1.5 hours. The return trip upstream against the current covered the same distance, but took 4.5 hours. Find the crew's rowing rate in still water and the rate of the current.
7. ## Statistics

A person's level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution
8. ## Math

A tortoise and a hare race against each other. A hare runs at a constant speed of 36 km per hour for exactly ten seconds and waits for the tortoise to catch up. If the tortoise takes two hours to move 1 km, how long will it take to catch up?
9. ## Math

Joshua earned \$60 for working h hours. Which expression represents how much he earned in 1 hour? A)60h B)60 + h C)h/ 60 D) 60/h *** If y = x - 3, what happens to y when x increases by 5? A) y increases by 2 B) y decreases by 2 C) y decreases by 5 D) y also
10. ## Math

Steve mcspoke left home on his bike traveling at 18km/hr. Steve's brother set out 2 hours later , following the same route, TRAVELING 54 per hour. How long did brother have to travel to catch up with Steve?
11. ## math

A tortoise and a hare race against each other. A hare runs at a constant speed of 36 km per hour for exactly ten seconds and waits for the tortoise to catch up. If the tortoise takes two hours to move 1 km, how long will it take to catch up?
12. ## Math

The maximum possible score in an exam was 80 and all questions carried equal weightage. For each correct answer 4 marks were awarded whereas for each wrong answer 1 mark was deducted. For no answer, the marks remained unchanged. A student got 57 marks in
13. ## Math

The maximum possible score in an exam was 80 and all questions carried equal weightage. For each correct answer 4 marks were awarded whereas for each wrong answer 1 mark was deducted. For no answer, the marks remained unchanged. A student got 57 marks in
14. ## Math

The maximum possible score in an exam was 80 and all questions carried equal weightage. For each correct answer 4 marks were awarded whereas for each wrong answer 1 mark was deducted. For no answer, the marks remained unchanged. A student got 57 marks in
15. ## math

Task 2 (6 points) Suppose you’re having a birthday party at the local bowling alley. 1. You’re trying to figure out how many people you can afford to invite. The number of guests you can invite to your party varies inversely with the price per bowler
16. ## limit from graph

How do I know if the limit of a function exists or not from that function's graph. Thanks. It the graph of a function becomes straighter at + and -infinity, it means that the function behaves linearly in the limit. However there may be other types of
17. ## Math

Randolph runs a home appliance repair business and charges a service call fee of \$85 plus \$15 per half hour for his labour. Write an equation for calculating the total charges, C, in terms of hours of labour, H. Plot the graph of C vs. H and define the
18. ## Statistics: Data Analysis

Data Analysis A study examined how long aircraft air conditioning units operated after being repaired. Here are the operating times (in hours) for one unit: 32 51 58 63 65 69 90 97 98 100 103 106 117 118 118 120 124 128 129 132 150 152 185 196 225 231 289
19. ## Physics

A 3.60 kg block starts from rest and slides down a frictionless incline, dropping a vertical distance of 2.80 m, before compressing a spring of force constant 2.30*10^4 N/m. Find the maximum compression of the spring. Any help would be appreciated, this
20. ## biology

In the search to discover the agents that caused mad cow disease, scrapie in sheep, and CJD and kuru in humans, the diseased brain tissues were filtered and still found to be infective, indicating they are not bacteria but either viruses or chemical
21. ## Physics

How far will a car travel if it starts from rest and experiences an acceleration of magnitude 3.75m/2^2 forward for 5.65 s? Answer is 59.9m
22. ## Physics

How far will a car travel if it starts from rest and experiences an acceleration of magnitude 3.75m/2^2 forward for 5.65 s? Answer is 59.9m
23. ## Algebra

You operate a gaming Web site, where users must pay a small fee to log on. When you charged \$3 the demand was 520 log-ons per month. When you lowered the price to \$2.50, the demand increased to 780 log-ons per month. (a) Construct a linear demand function
24. ## Math Algelbra

Joy has to get from her house to the park,which is 10 miles away.If she walks,she can go 4 miles per hour.If she rides her bike,she can go 10 miles per hour.And, if she rides a car she can travel 40 miles per hour.How long will it take her to get to the
25. ## Algebra

Walking Speed The avg. walking speed R of a person living in a city of population P in thousands is modeled by the function R(P)=0.37 times ln P + 0.05. where R is in feet per second. The populatin of Boston is 532,000, find the average walking speed of
26. ## Math

Let X and Y equal the respective numbers of hours a randomly selected child watches movies or cartoons on TV during a certain month. From experience, it is known that E(X) = 30, E(Y) = 50, Var(X) = 52, Var(Y) = 64, and Cov(X, Y)= 14. Twenty-five children
27. ## Algebra

Here is my problem. Please walk me through how you got to the answer. Three-fourths of a number equals 3 times the number increased by 9. Is this the correct equation? 3/4n = 3n + 9 Here's another. In this one, does "is" mean "equals"? One-fourth of a
28. ## 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
29. ## Math:Polynomial Functions

h(x) = -7x I was thinking that this was not a polynomial function because -7x is just one term making it a monomial but the answer key says it is a polynomial function. Could someone explain why that is so? Thanks :D
30. ## maths

A party of bush walkers have an average speed of 50km/minute and walk for 4 hours on a bearing of 231°T. they then walk for 6(1)/(3) hours on a bearing of 117°T. Find a.How far are they from bas e camp? b. The bearing they must travel along to get to
31. ## algebra 2

the number N of aluminum cans used each year varies directly as the number of people P using the cans if 55 people use 13,805 cans in one year how many cans are used in a cith which has a population of 1,469,000 what is the number of cans used.
32. ## Math

Sonali complete her homework iny5/6 of an hour and priya in 3/4 of an hour.who was faster?
33. ## algebra

An architect makes \$75.25 per hour. What will his/her gross income be after completeing a 95-hour project?
34. ## math

at the rate of 360 miles per hour, how far would an airplane travel in 1 hour and 20 minutes
35. ## math

a clock strikes only in the hour (once at 1.00,twice at 2.00 etc) how many times will it strike in one 24 hour day? please explain,thanks
36. ## math

You are paid \$40 an hour to wash windows. If you have worked for 4 4/5 hour, how much money have you earned?
37. ## Managerial Accounting

Instead of sales of 10,000 pair of skis, revised estimates show sales volume at 12,500 pair. At this new volume, additional equipment, at an annual rental of \$10,000 must be acquired to manufacture the bindings. This incremental cost would be the only
38. ## usiness math

You decide to take out an ordinary interest loan of \$30,000 at 4%, on a 90 day note. a) In 45 days you decide to make a payment of \$10,000 on the loan. What is your new principal? Explain how you got the answer.
39. ## math

I'm sorry I was unable to open your answer. My question was if you could tell me if the following is correct in standard form 1. fifty-four million, six and six hundredths 54,000,006.06 2. thirty-three million, five and five hundredths 33,000,005.05
40. ## Algebra

one positive number is 32 less than another number. if the reciprocal of the smaller number is added to five times the reciprocal of the larger number, the sum is 1/6. find the two numbers
41. ## algebra

A positive two-digit number is such that the product of the digits is 24.When the digits are reversed the number formed is greater than the original number by 18.Find the number.
42. ## Physics*

A car is designed to get its energy from a rotating flywheel (solid disk) with a radius of 1.00 m and a mass of 575 kg. Before a trip, the flywheel is attached to an electric motor, which brings the flywheel's rotational speed up to 5,000 rev/min. (a) Find
43. ## s. economics

Brooke and Georgia are neighbors. Each have 40 hours per week. Brooke needs 5 hours to paint a beautiful picture and 2 hours to make a picture frame. Georgia takes 8 hours to paint an equally beautiful picture and 4 hours to make a picture frame. What two
44. ## Algebra

a car repair shop charge \$80 per hour for labor and \$210 for the parts of a car . if the total cost of repair for the car was \$490 , how many hours did it take ro repair the car ?
45. ## 6th math

Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1,670 km per hour. What is the circumference of Earth's equator?
46. ## trig

A space shuttle 200 miles above the earth is orbiting the. Earth once every 6 hours. how far does the shuttle travel in one hour? Note the radius of earth about 4000 miles.
47. ## Math

Is the function below exponential? q(r)=−8/3^r If so, write the function in the form q(r)=ab^r and enter the values you find for a and b in the indicated blanks below. If the function is not exponential, enter NONE in both blanks below. a=-8 b=??
48. ## Math

Is the function below exponential? G(t)=(5⋅t)^2 If so, write the function in the form G(t)=ab^t and enter the values you find for a and b in the indicated blanks below. If the function is not exponential, enter NONE in both blanks below. a= b=
49. ## American History

1. Realpolitik was a campaign to bring honesty back to the political culture of the United States after the Vietnam War. ---------------------my answer: True? Realpolitik is political realism or practical politics, esp. policy based on power rather than on
50. ## Math

Use an equation to solve the problem. 1. What is 57% of 11? (1 point) 11 = 0.57 • n; 19.3 n = 57 • 11; 627 n = 0.57 • 11; 6.27 11 = 57 • n; 0.19 2. 224 is 25% of what number? (1 point) 224 • 0.25 = w; 560 224 = 0.25 • w; 896 224 • 0.25 = w;
51. ## Math

Find the missing number. 5/15 = ?/3 Is 1 the correct answer?
52. ## Algebra

A boat's crew rowed 7.5 downstream,with the current, in 1.5 hours. The return trip upstream against the current,covered the same distance,but took 2.5 hours. Find the crew's rate in still water and the rate of the current.
53. ## algebra

The average speed of an express train is 20km/hour more than the average speed of a passenger train .To cover a distance of 360kms the express train takes 3 hours less than that of the passenger train. Find the average speed of both passenger and express
54. ## economics-oligopoly

Suppose there are only two producers, A and B, in a market producing the same good with the same total cost function TC=0.05 Q^2 +100. The market demand is given by Q=1000-5P. a) Find the equilibrium price and total output in the Bertrand model. b) Find
55. ## accounting

Interfund Premiums -- Actuarial estimates from previous fiscal year to determine \$ necessary to establish a reserve for losses. It was determined that General Fund and water utility should be assessed a 6% fee of total wages/salaries. Pub Safety 5,000,000
56. ## Algebra

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/ 2.Determain whether
57. ## Math

Convert 1.584 feet per hour to miles per hour (mph)
58. ## math

if a woker produces 175 parts per hour, how many can be produced in 7 hour
59. ## Math

If Bob hikes 5/8 of a mile in 1/3 of an hour. How fast is going in miles per hour?
60. ## math

if Tom is driving 64 kilometers/hour what is his speed in miles/hour?
61. ## Chemistry *URGENT*

URGENT help! 3. A rock sample was dated using potassium-40, Neasyrenebt ubducated tgat 1/8 of the original parent isotope is left in the rock sample. How old is the rock? 5. When a sample of lava solidfied, it contained 28g of uranium-238. It that lava
62. ## Trig. application

Hello.. In your previous solution to the question: "Dave is going for a ride on his unicycle. The radius of the wheel is 25.5cm. When he gets on, the valve of the wheel is at its maximum height. He pedals along a path at a speed of 30km/h. At what height

. George Wilkins checked the spreadsheet where he keeps track of his assets and liabilities. He discovered that (i) he owes \$80,000 on his house, which he believes to be worth \$150,000; (ii) his car is worth \$20,000, against which there is \$2,000 on the
64. ## math word problem

Simon arrived at work at 8:15am anf left work at 10:30pm. If Simon gets paid by the hour at a rate of \$10 and time and 1/2 for any hours worked over 8 in a day, how much did Simon get paid?
65. ## Math - algebra

Oceanside bike rental shop charges 14 dollars plus 9 dollars an hour for renting a bike. Joan paid 86 dollars to rent a bike. How many hours did she pay to have the bike checked out? X is unknown N= 9h+14 86= 9h+14 86-14
66. ## Maths

Brent's normal wage is \$672 for a 40 hour week. He worked overtime and earned \$873.60 in one week. How many hours of overtime did he work if he was paid double time for the overtime worked? Method please
67. ## Chemistry

What conversion factor would you use to convert between these pairs of units? a)minutes to hours b)grams to milligrams c) cubic decimeters to milliters. There are 60 minutes in 1 hour. There are 1000 mg in 1 g. There are 1000 cubic centimeters in 1 cubic
68. ## Calculus

The rate of change R, in kilometers per hour, of the altitude of a hot air balloon is given by R(t)=t^3-4t^2+6 for time on the interval [0,4], where t is measured in hours. Assume the balloon is on ground level. What is the maximum altitude of the balloon
69. ## statistics

The probability is 0.7 that a person shopping at a certain store spend less than \$20.00. For groups size of 22, find the mean number who spend less than \$20.00 Do they tell you the most probable amount spent? There are an infinite number of combinations of
70. ## Calculus

Consider a hemispherical bowl of radius 10cm. (4 points) If the water level in the bowl is h cm deep, find the radius of the surface of the water as a function of h. (6 points) The water level drops at a rate of 0.1 cm per hour. At what rate is the radius
71. ## 12 Math

Graph the results of a coin toss: Toss Coins 0 20 1 12 2 5 3 1 4 0 State an equation that best fits the results (use n to represent the number of the toss). What physical phenomenon does this model? I was able to graph this, I just do not understand how to
72. ## Pre-Calculus

For the function f(x)=12x^3+4x^2-27x-9 describe the end behavior. Find the real zeros of f and determine whether the graph crosses or touches the x-axis at each x-intercept. Use the zeros of f and test numbers to find the intervals over which the graph of
73. ## computer science

hi i'm taking compsci and I need someone to give me some examples of these classes, thanks! You will have to write a class to represent one of the following items. Note that each class must a proper constructor even though the constructor is not explicitly
74. ## Calculus Help!

At a price of \$7.5 per ticket, a musical theater group can fill every seat in their 1500 seat performance hall. For every additional dollar charged for admission, the number of tickets sold drops by 95. a) What ticket price maximizes revenue? Round your
75. ## alg 1

It takes a florist 3 hour and 15 minutes to make 3 small centerpieces and 3 large centerpieces. It takes 6 hours and 20 minutes to make 4 small centerpieces and 7 large centerpieces. How long does it take to make each small centerpiece and each large
76. ## financial management

Wheeler Corporation is planning to expand its business and needs \$30,000,000. The company believes that a 12-year term loan can be negotiated with a bank at an annual rate of 10%. Alternatively, an investment banking firm has indicated that it is willing
77. ## stastics

A recent article in a computer magazine suggested that the mean time to fully learn a new software program is 40 hours. A sample of 100 first-time users of a new statistics program revealed the mean time to learn it was 39 hours with the standard deviation
78. ## Math

The owner of a bicycle factory said about 15,000 bicycles were made last month. What is the least number of bicycles that could have been made? What is the greatest number? Explain your thinking
79. ## Math Literacy

I really don't know how to begin to approach this problem. A 6-year-old patient underwent an outpatient tonsillectomy and adenoidectomy The surgeon ordered 1,000 cc D5W, dispensed at a rate of 600 cc every 8 hours, to maintain hydration levels. A
80. ## sdu

. A man finds that two things cause him to wake up at night-noise or indigestion. If it is due to noise, the time to fall asleep again has exponential distribution with rate 5 per hour, and if it is due to indigestion the time to fall asleep again has
81. ## Math

If the wind is blowing from the west at 17 knots, what is its speed in miles per hour? In kilometers per hour?
82. ## Pre-Cal

A circular gear turns 60 per hour. Through how many radians does it turn in a 24-hour day?
83. ## of

A car is traveling at the average speed of 50 kilometers per hour how much distance would it travel in 1 hour 12 minutes

if 2/3 of a lawn takes 3/4 of an hour, how much can I mow in one hour? Can you please explain how to do this problem?
85. ## Math

If Nell works 3/4 of an hour on Monday and 6/10 of an hour on Tuesday, how much time will she work altogether?
86. ## MATH! HELP!

Sean Thomas makes \$15.85 per hour. How much would he earn in a forty-hour work week?
87. ## math

Melba rode her bike 7 / 8 mile in 1/ 4 hour what is the unit rate in miles per hour
88. ## math

If Nell works 3/4 of an hour on Monday and 6/10 of an hour on Tuesday, how much time will she work altogether? 1 7/20
89. ## math

Delia works from 8:00 A.M. to 4:30 P.M. and has one hour each day for lunch. How much does she earn each week if she gets paid \$4.80 per hour
90. ## MATH

Delia works from 8:00 A.M. to 4:30 P.M. and has one hour each day for lunch. How much does she earn each week if she gets paid \$4.80 per hour?
91. ## Math

On Monday morning, Rosie naps for 3/5 hour. In the afternoon for 5/6 hour. How long does he sleep in all?
92. ## math

when one third of a number is subtracted from 2 times the number then the answer is 15? what is teh number
93. ## Jules

Could someone answer this question so I understand it. Thanks Given the supply function: p = S(x) = 5(e^0.02x-1) Find the average price (in dollars) over the interval [31,36]. Only the 0.02 is ^ in the e in the question.
94. ## Math

Could someone answer this question so I understand it. Thanks Given the supply function: p = S(x) = 5(e^0.02x-1) Find the average price (in dollars) over the interval [31,36]. Only the 0.02 is ^ in the e in the question.
95. ## algebra

Find the zeros of the function. f(x) = 2x^2-2x-1 Use the quadratic equation x= (2 +- sqrt (4+8))/4 x = 1/2 +- 1/2 sqrt 3 check that. the answer would be negative 96 I think respond back if not right
96. ## Math/Calculus

Find k so that the following function is continuous on any interval: f(x)= kx 0 (less than or equal to) x (less than) 2 3x^2 2 (less than or equal to x) i know the answer is 12 but i don't know how to arrive at that. could you please walk me through the
97. ## math

Find the f''' of function f(x) = e2x6 + [lnx]2. Does we need to do by part? Can someone plz give me the final answer. I do this without using the by part formula..can it be correct?
98. ## calculus I

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
99. ## 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) = x^3 - 2x^2 + x, [0, 1] Round your answer to two decimal places.
100. ## Calculus

The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (-3, -2) where f'(c)=0. f(x) = x + 6x-1 , [-3, -2] Round your answer to two decimal places.