Earth Science

Q: Find the equation of the horizontal asymptote in the graph of

Q: Below are functions that give the population, P, in year, t, for four towns.Choose the function for the town that has the largest initial population.A) B) C) D)

Q: Match the function with its graph: A) B) C) D)

Q: Match the function with its graph:A) B) C) D)

Q: In an effort to control Johne's disease in dairy cattle, the state of Minnesota set a goal to reduce the number of cattle with the disease from 15,015 in 1990 to 1,629 in by the year 2000. A). Assuming a linear model, what would the average rate of change be per year? B). Assuming an exponential model, what would be the decay factor needed? Round answers to 3 decimal places if necessary.

Q: Choose the function that best matches the description:when x is 0, y is 2, and when x increases 1 unit, y is multiplied by 1.74A) B) C) D)

Q: Choose the function that best matches the description: when x is 0, y is 5.5, and when x increases 1 unit, y increases 1.42 units A) B) C) D)

Q: Find the equation of the given function.xf(x)-12.8303.0013.1823.37Give your answer in or form. Round values to 2 decimal places.

Q: Find the equation of the given function.xf(x)-1"0.1002.4014.9027.40Give your answer in or form.

Q: A new cell phone company has 600 subscribers their first year (year 0) and their business grows to 1,000 subscribers the next year (year 1).Find a formula for the number of subscribers, C, as a function of the years in business, y, assuming...A) linear growth (write your answer in the form ) , andB) exponential growth (write your answer in the form )Now use these functions to predict how many subscribers they will have in their 20th year of business (year 19) assuming...C) linear growth andD) exponential growth.Round values to 2 decimal places.

Q: Find the growth factor (assuming exponential growth) for a population that grows from 1,100,000 to 1,716,000 in one year.

Q: Write a function in the form for an exponential function where and .

Q: Write an equation for a function that satisfies these two points: and assuming that it is A) a linear function, in the form and B) an exponential function in the form .Round values to 2 decimal places.

Q: Determine which data is (roughly) exponential. A) x y "1 "4.2 1 5.8 2 10.8 6 30.8 B) x y "1 "2.5 1 4.7 2 8.3 6 22.7 C) x y "1 4.1 1 15.6 2 30.4 6 439.8

Q: Determine whether the data is linear or exponential.xy16.4858.82710.28911.99A) ExponentialB) Linear

Q: Suppose an investment grows from 9,000 to 48,000 over 9 years. Choose the annual growth factor. Round answers to 2 decimal places. A) 39,000 B) 5.33 C) 4,333.33 D) 1.20

Q: Suppose an investment grows from 8,000 to 30,000 over 13 years. Find A) the 13-year growth factor and B) the annual growth factor. Round answers to 2 decimal places.

Q: Suppose a town's population grows from 25,000 to 290,000 over 6 years. Choose the annual growth factor. Round answers to 2 decimal places. A) 265,000 B) 1.50 C) 44,166.67 D) 11.60

Q: Suppose a town's population grows from 85,000 to 385,000 over 12 years. Find A) the 12-year growth factor and B) the annual growth factor. Round answers to 2 decimal places.

Q: For an exponential function, where x is measured in months and and ,which of the following is the monthly growth factor of the function (Rounded to 2 decimal places.)?A) 4.45B) 1.16C) 3.45D) 0.22

Q: For an exponential function, where x is measured in months and and Find A) the 4-month growth factor and B) the monthly growth factor.Round answers to 2 decimal places.

Q: If the half-life of francium is 21 minutes, how much of a 4,000 gram sample would be left after 20 minutes? (Round the answer to the nearest gram.)

Q: If the half-life of francium is 21 minutes, how long would it take for a 2,000 gram sample to decay to less than 60 grams? (Round the answer to the nearest minute.)

Q: The half-life of penicillin in a beef cow is approximately 30 hours. If the acceptable level for butchering of 0.5 mL, and the beef cow is administered 25 mL of penicillin, will it be at an acceptable level to butcher after 7 days? (Answer "Yes" or "No".)

Q: The half-life of penicillin in a beef cow is approximately 30 hours. If a beef cow is administered 45 mL of penicillin, how long will it take for the animal to reach the acceptable level for butchering of 0.5 mL? (Round your answer to the nearest tenth of an hour.)

Q: The half-life of Fluorine 18 is 1.82 hours. If a sample initially contains 6,400 atoms, how many atoms will be left after 3.64 hours? Round the answer to the nearest whole number if necesasry.

Q: The half-life of Flourine 20 is 11 seconds. If a sample initially contains 2,200 atoms, how long would it take for the sample to decay to 275 atoms?

Q: The half-life of Beryllium 11 is 13.81 seconds. If a sample initially contains 2,800 atoms, create a formula to represent the number of atoms, A, in the sample after T intervals of 13.81 seconds.

Q: Find an exponential function where and Write your answer in form and round values to 2 decimal places.

Q: A piece of equipment is originally worth $18,000 and its worth decreases by a factor of 0.6 each year. A) Find a formula that gives the equipment's value , V, as a function of the years, y, since its purchase. B) Use the formula to find the worth of the equipment after 3 years. Round your answer to the nearest cent.

Q: Find the formula of the given exponential function. x f(x) -1 5.12 0 6.50 1 8.26 2 10.48 Give your answer in form. Round values to 2 decimal places.

Q: Find the growth/decay factor (assuming exponential growth/decay) for a population that decreases from 29,000,000 to 24,940,000 in one year.

Q: Write a function in the form for an exponential function where and .

Q: Write an equation for an exponential function (in the form ) that satisfies these two points: and Round values to 2 decimal places.

Q: Write a function in the form for an exponential function where and for every unit increase in x, the output is multiplied by 0.3.

Q: Write an equation in the form for an exponential function with initial value 3,700 and growth factor 1.9.

Q: For the exponential function given, identify A) the initial value and B) the growth or decay factor.

Q: Determine whether the function represents exponential growth or decay. A) Decay B) Growth

Q: Determine whether the function represents exponential growth or decay. A) Growth B) Decay

Q: How many years does it take for this function to double?YearAmount2000750200194520021,19120031,50020041,89020052,38120063,00020073,780

Q: A quantity, Q, doubles every 5 years. Write a formula for the quantity of Q where T = the number of 5 year periods and the amount of the original substance is 580 grams.

Q: An institution promises that investments in their mutual funds will double every 8 years. If $5,000 is invested, how much will the investment be worth in 24 years?

Q: The number of bacteria in a bacterial culture is 59,295 at the end of 5 hours. If the number of bacteria in the culture increases by a factor of 1.99 every hour, find the equation to describe the growth of the culture. Write your answer in form. Round each portion of the answer to 2 decimal places if necessary.

Q: Match the function with its graph: A) B) C) D)

Q: An investment is originally worth $17,000 and its worth increases by a factor of 1.006 each month. A) Find a formula that gives the investment's worth , W, as a function of the months, m, since the original investment. B) Use the formula to find the worth of the investment after 16 months. Round your answer to the nearest cent.

Q: An investment is originally worth $19,000 and its worth increases by a factor of 1.008 each month. Find a formula that gives the investment's worth , W, as a function of the months, m, since the original investment. Write your answer in form.

Q: When an event happens in a community, news travels fast. A) Assuming 2 people initially know the news and the number of people who hear the news increases by a factor of 2.8 each hour, find a formula that gives the number of people who hear the news, N, as a function of the hours, h, since the event happened. B) Estimate how long, to the nearest hour, it will take for 120 people to hear the news.

Q: When an event happens in a community, news travels fast. Assuming 4 people initially know the news and the number of people who hear the news increases by a factor of 4.3 each hour, find a formula that gives the number of people who hear the news, N, as a function of the hours, h, since the event happened.

Q: An outbreak of a flu virus begins with 4 people infected and the number of people infected increases by a factor of 2 each week. A) Find a formula that gives the number of people infected, I, as a function of the weeks, w, since the outbreak began. B) Use this formula to find the number of people infected after 10 weeks.

Q: An outbreak of a flu virus begins with 6 people infected and the number of people infected increases by a factor of 4.2 each week. Find a formula that gives the number of people infected, I, as a function of the weeks, w, since the outbreak began.

Q: Write a function in the form for an exponential function with an initial value of 50 whose output triples for each unit increase of the input.

Q: Choose the function of an exponential function where and for every unit increase in x, the output is multiplied by 2.1. A) B) C) D)

Q: Write a function in the form for an exponential function where and for every unit increase in x, the output is multiplied by 1.8.

Q: Below are functions that give the population, P, in year, t, for four towns. Choose the function for the town that has the smallest growth factor. A) B) C) D)

Q: Below are functions that give the population, P, in year, t, for four towns. Choose the function for the town that has the largest initial population. A) B) C) D)

Q: Which equation in the form for an exponential function has initial value, 230,000, and growth factor, 1.2? A) B) C) D)

Q: Write an equation in the form for an exponential function with initial value 46 and growth factor 1.9.

Q: For the exponential function given, identify A) the initial value and B) the growth factor.

Q: The pH scale measures the hydrogen ion concentration in a liquid, which determines whether the substance is acidic or alkaline. A strong acid solution has a hydrogen ion concentration of 10-1 M and would have a pH of 1. A neutral substance has a hydrogen ion concentration of 10-7 M and would have a pH of 7. An unknown liquid is tested and is found to have a hydrogen ion concentration of 10"2. What is the pH?

Q: The difference n the noise levels of two sounds is measured in decibels, where the number of decibels = . Compare the noise levels when I1 = 10"12 watts/cm2 and I2 = 10"9 watts/cm2.

Q: Solve for x:log (6x+6) = -2.7Round the answer to 4 decimal places.

Q: Solve for x: log (2x) = 6.9 Round the answer to 4 decimal places.

Q: Solve for x:Round the answer to 4 decimal places.

Q: Solve for x: 10x = 318,455.59 Round the answer to 4 decimal places.

Q: Solve for x:104.9 = xRound the answer to 4 decimal places.

Q: Solve for x: log 127,387.73 = x Round the answer to 4 decimal places.

Q: Solve for x:log x = -0.1Round the answer to 4 decimal places.

Q: Evaluate: log 0.00001

Q: Use your calculator to evaluate to four decimal places.106.5

Q: Rewrite in an equivalent form using logarithms: 108 = 100,000,000

Q: Solve.Round your answer to 3 decimal places.

Q: Write 84 as a power of 10. Round your answer to 2 decimal places.

Q: Which of the following statements is equivalent to ? A) B) C) D)

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