تكلم مع الذكاء الاصطناعي
Deck 5: Exponential-And-Logarithmic-Functions
ملء الشاشة (f)
سؤال
If $1 is invested in an account over a 10-year period, the amount in the account, where t represents the time in years, is given by 
depending on whether the account pays simple interest at 
or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate?
A)
B)
C)
D)
E)
depending on whether the account pays simple interest at or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate? A)
B)
C)
D)
E)
سؤال
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled by 
where t represents the year, with 
corresponding to 2000.In 2005, the population of Reno was about 395,000.According to the model, during what year will the population reach 486,000.00?
A)2013
B)2005
C)2021
D)2017
E)2009
where t represents the year, with corresponding to 2000.In 2005, the population of Reno was about 395,000.According to the model, during what year will the population reach 486,000.00? A)2013
B)2005
C)2021
D)2017
E)2009
سؤال
Select a scatter plot of the given data.
R
t 
A)
B)
C)
D)
E)
R
t
A)
B)
C)
D)
E)
سؤال
The population P of a culture of bacteria is described by the equation 
, where t is the time, in hours, relative to the time at which the population was 1300.What was the population at 
hours?
A)
B)
C)
D)
E)
, where t is the time, in hours, relative to the time at which the population was 1300.What was the population at hours? A)
B)
C)
D)
E)
سؤال
The population P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by 
where t represents the year, with 
corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k.
A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
where t represents the year, with corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k. A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
سؤال
Find the exponential model 
that fits the points shown in the graph. 
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
سؤال
سؤال
The population P of a bacteria culture is modeled by 
, where t is the time in hours.If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour.
A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
, where t is the time in hours.If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour.A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
سؤال
Find the exponential model 
that fits the points shown in the graph. 
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
سؤال
سؤال
Determine the principal that must be invested at rate r, compounded monthly, so that 
will be available for retirement in t years. 
A)
B)
C)
D)
E)
will be available for retirement in t years. A)
B)
C)
D)
E)
سؤال
The value V (in millions of dollars) of a famous painting can be modeled by 
where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.)
A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.) A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
سؤال
Select the correct graph for the given function 
A)
B) 
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Select the correct graph for the given function
A) 
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The number y of hits a new search-engine website receives each month can be modeled by 
where t represents the number of months the website has been operating.In the website's third month, there were 10,000 hits.Find the value of k, and use this value to predict the number of hits the website will receive after 22 months.
A)
; About 184,894,691,979 hits
B)
; About 2,921,047 hits
C)
; About 22,832,533,585 hits
D)
; About 57,970,933 hits
E)
; About 1,150,488,266 hits
where t represents the number of months the website has been operating.In the website's third month, there were 10,000 hits.Find the value of k, and use this value to predict the number of hits the website will receive after 22 months. A)
; About 184,894,691,979 hitsB)
; About 2,921,047 hitsC)
; About 22,832,533,585 hitsD)
; About 57,970,933 hitsE)
; About 1,150,488,266 hits سؤال
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Select the correct graph for the given function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the intensity I of an earthquake measuring R on the Richter scale 
.
Southern Sumatra, Indonesia in 2007,
A)
B)
C)
D)
E)
. Southern Sumatra, Indonesia in 2007,
A)
B)
C)
D)
E)
سؤال
The population P of a culture of bacteria is described by the equation 
, where t is the time, in hours, relative to the time at which the population was 1600.
(a) What was the population at
hours? Show your work.
(b) After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
, where t is the time, in hours, relative to the time at which the population was 1600.(a) What was the population at
hours? Show your work.(b) After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
سؤال
Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants, like paper, will decline exponentially according to the equation 
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.
A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
سؤال
سؤال
A population growing at an annual rate r will triple in a time t given by the formula 
.If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple?
A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
.If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple? A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
سؤال
Find the magnitude R of an earthquake of intensity 
. 
A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
. A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
سؤال
Solve for x. 
A)4
B)
C)7
D)3
E)
A)4
B)
C)7
D)3
E)
سؤال
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones.The numbers of cell sites from 1985 through 2008 can be modeled by 
where t represents the year, with 
corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 .
A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
where t represents the year, with corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 . A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
سؤال
The chemical acidity of a solution is measured in units of pH: 
, where 
is the hydrogen ion concentration in the solution.What is 
if the 
?
A)3.800
B)
C)
D)
E)
, where is the hydrogen ion concentration in the solution.What is if the ?A)3.800
B)
C)
D)
E)
سؤال
Determine whether the given x-value is a solution (or an approximate solution) of the equation. 
A)No
B)Yes
A)No
B)Yes
سؤال
Find the magnitude R of an earthquake of intensity 
. 
A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
. A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
سؤال
سؤال
Find the intensity I of an earthquake measuring R on the Richter scale 
.
Costa Rica in 2009,
A)
B)
C)
D)
E)
. Costa Rica in 2009,
A)
B)
C)
D)
E)
سؤال
Solve for x. 
A)8
B)2
C)-2
D)-6
E)6
A)8
B)2
C)-2
D)-6
E)6
سؤال
The chemical acidity of a solution is measured in units of pH: 
, where 
is the hydrogen ion concentration in the solution.What is 
if the 
?
A)
B)
C)
D)
E)6.800
, where is the hydrogen ion concentration in the solution.What is if the ?A)
B)
C)
D)
E)6.800
سؤال
Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants, like paper, will decline exponentially according to the equation 
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.
A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
سؤال
The chemical acidity of a solution is measured in units of pH: 
, where 
is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its 
than pure water's, which has a pH of 7?
A)
B)
C)7
D)
E)
, where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)7
D)
E)
سؤال
The chemical acidity of a solution is measured in units of pH: 
, where 
is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3, how many times higher is its 
than pure water's, which has a pH of 7?
A)
B)
C)
D)
E)7
, where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)
D)
E)7
سؤال
The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can be modeled by 
where t represents the year, with 
corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
where t represents the year, with corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
سؤال
Determine whether the given x-value is a solution (or an approximate solution) of the equation. 
A)No
B)Yes
A)No
B)Yes
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve for x.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)10
B)11
C)9
D)-9
E)12
A)10
B)11
C)9
D)-9
E)12
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve for x.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve for x. 
A)
B)
C)
D)
E)5
A)
B)
C)
D)
E)5
سؤال
Solve for x. 
A)
B)0.0001
C)
D)
E)1.386
A)
B)0.0001
C)
D)
E)1.386
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve for x.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)8
B)6
C)-1
D)7
E)9
A)8
B)6
C)-1
D)7
E)9
سؤال
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
$3000 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to triple.(Approximate the result to two decimal places.) 
A)37.62 yr
B)36.62 yr
C)35.62 yr
D)34.62 yr
E)38.62 yr
A)37.62 yr
B)36.62 yr
C)35.62 yr
D)34.62 yr
E)38.62 yr
سؤال
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
$4500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to triple.(Approximate the result to two decimal places.) 
A)21.00 yr
B)20.00 yr
C)34.88 yr
D)24.00 yr
E)23.00 yr
A)21.00 yr
B)20.00 yr
C)34.88 yr
D)24.00 yr
E)23.00 yr
سؤال
Solve the equation algebraically.Round the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
$5500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.) 
A)13.84 yr
B)10.84 yr
C)12.84 yr
D)11.84 yr
E)14.84 yr
A)13.84 yr
B)10.84 yr
C)12.84 yr
D)11.84 yr
E)14.84 yr
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Determine whether or not 
is a solution to 
.
A)no
B)yes
is a solution to .A)no
B)yes
سؤال
Solve the exponential equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)1,000
B)1,000,000
C)10,000
D)100,000
E)100
A)1,000
B)1,000,000
C)10,000
D)100,000
E)100
سؤال
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
$2500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.) 
A)13.55 yr
B)10.55 yr
C)12.55 yr
D)9.55 yr
E)11.55 yr
A)13.55 yr
B)10.55 yr
C)12.55 yr
D)9.55 yr
E)11.55 yr
سؤال
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Solve 
for x.
A)-3
B)-4
C)-1
D)1
E)no solution
for x.A)-3
B)-4
C)-1
D)1
E)no solution
سؤال
Solve the logarithmic equation algebraically.Approximate the result to three decimal places. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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ملء الشاشة (f)
Deck 5: Exponential-And-Logarithmic-Functions
1
If $1 is invested in an account over a 10-year period, the amount in the account, where t represents the time in years, is given by depending on whether the account pays simple interest at or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate?
A)
B)
C)
D)
E)
depending on whether the account pays simple interest at or continuous compound interest at 7%.Graph each function on the same set of axes.Which grows at a higher rate? A)
B)
C)
D)
E)
2
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
An initial investment of $4000 grows at an annual interest rate of 5% compounded continuously.How long will it take to double the investment?
A)1 year
B)14.40 years
C)13.86 years
D)14.86 years
E)13.40 years
A)1 year
B)14.40 years
C)13.86 years
D)14.86 years
E)13.40 years
13.86 years
4
The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled by where t represents the year, with corresponding to 2000.In 2005, the population of Reno was about 395,000.According to the model, during what year will the population reach 486,000.00?
A)2013
B)2005
C)2021
D)2017
E)2009
where t represents the year, with corresponding to 2000.In 2005, the population of Reno was about 395,000.According to the model, during what year will the population reach 486,000.00? A)2013
B)2005
C)2021
D)2017
E)2009
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5
Select a scatter plot of the given data.
R t
A)
B)
C)
D)
E)
R
t
A)
B)
C)
D)
E)
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6
The population P of a culture of bacteria is described by the equation , where t is the time, in hours, relative to the time at which the population was 1300.What was the population at hours?
A)
B)
C)
D)
E)
, where t is the time, in hours, relative to the time at which the population was 1300.What was the population at hours? A)
B)
C)
D)
E)
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7
The population P (in thousands) of Orlando, Florida from 2000 through 2007 can be modeled by where t represents the year, with corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k.
A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
where t represents the year, with corresponding to 2000.In 2006, the population of Orlando, Florida was about 1,883,000.00.Find the value of k. A)k = 0.03183
B)k = 0.02863
C)k = 0.02163
D)k = 0.03453
E)k = 0.03063
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8
Find the exponential model that fits the points shown in the graph.
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
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9
An initial investment of $5000 doubles in value in 6.3 years.Assuming continuous compounding, what was the interest rate? Round to the nearest tenth of a percent.
A)11.0%
B)4.8%
C)5.5%
D)6.3%
E)100%
A)11.0%
B)4.8%
C)5.5%
D)6.3%
E)100%
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10
The population P of a bacteria culture is modeled by , where t is the time in hours.If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour.
A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
, where t is the time in hours.If the population of the culture was 5800 after 40 hours, how long does it take for the population to double? Round to the nearest tenth of an hour.A)54.8 hours
B)8.9 hours
C)79.9 hours
D)81.7 hours
E)56.6 hours
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11
Find the exponential model that fits the points shown in the graph.
A)
B)
C)
D)
E)
that fits the points shown in the graph. A)
B)
C)
D)
E)
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12
Which investment option will pay the most interest?
A)10.2% compounded quarterly
B)10.4% compounded semiannually
C)10.0% compounded continuously
D)These investments all pay the same amount of interest.
E)10.6% compounded annually
A)10.2% compounded quarterly
B)10.4% compounded semiannually
C)10.0% compounded continuously
D)These investments all pay the same amount of interest.
E)10.6% compounded annually
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13
Determine the principal that must be invested at rate r, compounded monthly, so that will be available for retirement in t years.
A)
B)
C)
D)
E)
will be available for retirement in t years. A)
B)
C)
D)
E)
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14
The value V (in millions of dollars) of a famous painting can be modeled by where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.)
A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
where t represents the year, with t = 0 corresponding to 2000.In 2008, the same painting was sold for $65 million.Predict the value of the painting in 2018.(Round your answer to two decimal places.) A)$674.61 million
B)$874.61 million
C)$474.61 million
D)$774.61 million
E)$574.61 million
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15
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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16
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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17
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
The number y of hits a new search-engine website receives each month can be modeled by where t represents the number of months the website has been operating.In the website's third month, there were 10,000 hits.Find the value of k, and use this value to predict the number of hits the website will receive after 22 months.
A) ; About 184,894,691,979 hits
B) ; About 2,921,047 hits
C) ; About 22,832,533,585 hits
D) ; About 57,970,933 hits
E) ; About 1,150,488,266 hits
where t represents the number of months the website has been operating.In the website's third month, there were 10,000 hits.Find the value of k, and use this value to predict the number of hits the website will receive after 22 months. A)
; About 184,894,691,979 hitsB)
; About 2,921,047 hitsC)
; About 22,832,533,585 hitsD)
; About 57,970,933 hitsE)
; About 1,150,488,266 hits فتح الحزمة
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19
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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20
Select the correct graph for the given function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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21
Find the intensity I of an earthquake measuring R on the Richter scale .
Southern Sumatra, Indonesia in 2007,
A)
B)
C)
D)
E)
. Southern Sumatra, Indonesia in 2007,
A)
B)
C)
D)
E)
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22
The population P of a culture of bacteria is described by the equation , where t is the time, in hours, relative to the time at which the population was 1600.
(a) What was the population at hours? Show your work.
(b) After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
, where t is the time, in hours, relative to the time at which the population was 1600.(a) What was the population at
hours? Show your work.(b) After how many hours will the population reach 10000.00? Round to the nearest tenth of an hour.Show your work.
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23
Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants, like paper, will decline exponentially according to the equation , where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.
A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 30% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.A)28,040 years
B)5715 years
C)9926 years
D)14,758 years
E)100 years
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24
An initial investment of $2000 grows at an annual interest rate of 4% compounded continuously.How long will it take to double the investment?
A)17.33 years
B)18.33 years
C)18.00 years
D)17.00 years
E)1 year
A)17.33 years
B)18.33 years
C)18.00 years
D)17.00 years
E)1 year
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25
A population growing at an annual rate r will triple in a time t given by the formula .If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple?
A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
.If the growth rate remains constant and equals 9% per year, how long will it take the population of the town to triple? A)2.2 years
B)5.3 years
C)6.6 years
D)1 years
E)12.2 years
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26
Find the magnitude R of an earthquake of intensity .
A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
. A)3.20
B)5.20
C)4.20
D)2.20
E)6.20
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27
Solve for x.
A)4
B)
C)7
D)3
E)
A)4
B)
C)7
D)3
E)
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28
A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones.The numbers of cell sites from 1985 through 2008 can be modeled by where t represents the year, with corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 .
A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
where t represents the year, with corresponding to 1985.Use the model to find the numbers of cell sites in the year 2007 . A)211,071
B)209,071
C)208,071
D)207,071
E)210,071
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29
The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution.What is if the ?
A)3.800
B)
C)
D)
E)
, where is the hydrogen ion concentration in the solution.What is if the ?A)3.800
B)
C)
D)
E)
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30
Determine whether the given x-value is a solution (or an approximate solution) of the equation.
A)No
B)Yes
A)No
B)Yes
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31
Find the magnitude R of an earthquake of intensity .
A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
. A)7.43
B)6.43
C)8.43
D)10.43
E)9.43
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32
Tritium, a radioactive isotope of hydrogen, has a half-life of 12.4 years.Of an initial sample of 33 grams, how much will remain after 69 years?
A)0 grams
B)29.1351 grams
C)10.9074 grams
D)8.2500 grams
E)0.6973 grams
A)0 grams
B)29.1351 grams
C)10.9074 grams
D)8.2500 grams
E)0.6973 grams
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33
Find the intensity I of an earthquake measuring R on the Richter scale .
Costa Rica in 2009,
A)
B)
C)
D)
E)
. Costa Rica in 2009,
A)
B)
C)
D)
E)
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34
Solve for x.
A)8
B)2
C)-2
D)-6
E)6
A)8
B)2
C)-2
D)-6
E)6
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35
The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution.What is if the ?
A)
B)
C)
D)
E)6.800
, where is the hydrogen ion concentration in the solution.What is if the ?A)
B)
C)
D)
E)6.800
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36
Carbon dating presumes that, as long as a plant or animal is alive, the proportion of its carbon that is 14C is constant.The amount of 14C in an object made from harvested plants, like paper, will decline exponentially according to the equation , where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.
A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
, where A represents the amount of 14C in the object, Ao represents the amount of 14C in living organisms, and t is the time in years since the plant was harvested.If an archeological artifact has 35% as much 14C as a living organism, how old would you predict it to be? Round to the nearest year.A)5715 years
B)29,310 years
C)93 years
D)8655 years
E)15,427 years
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37
The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its than pure water's, which has a pH of 7?
A)
B)
C)7
D)
E)
, where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.4, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)7
D)
E)
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38
The chemical acidity of a solution is measured in units of pH: , where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3, how many times higher is its than pure water's, which has a pH of 7?
A)
B)
C)
D)
E)7
, where is the hydrogen ion concentration in the solution.If a sample of rain has a pH of 3.3, how many times higher is its than pure water's, which has a pH of 7?A)
B)
C)
D)
E)7
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39
The populations P (in thousands) of Pittsburgh, Pennsylvania from 2000 through 2007 can be modeled by where t represents the year, with corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
where t represents the year, with corresponding to 2000.Use the model to find the numbers of cell sites in the year 2009.
A)2,326,853.00
B)2,327,853.00
C)2,329,853.00
D)2,328,853.00
E)2,330,853.00
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40
Determine whether the given x-value is a solution (or an approximate solution) of the equation.
A)No
B)Yes
A)No
B)Yes
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41
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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42
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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43
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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44
Solve for x.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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45
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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46
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)10
B)11
C)9
D)-9
E)12
A)10
B)11
C)9
D)-9
E)12
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47
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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48
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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49
Solve for x.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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50
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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51
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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52
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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53
Solve for x.
A)
B)
C)
D)
E)5
A)
B)
C)
D)
E)5
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54
Solve for x.
A)
B)0.0001
C)
D)
E)1.386
A)
B)0.0001
C)
D)
E)1.386
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55
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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56
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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57
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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58
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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59
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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60
Solve for x.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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61
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)8
B)6
C)-1
D)7
E)9
A)8
B)6
C)-1
D)7
E)9
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62
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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63
$3000 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to triple.(Approximate the result to two decimal places.)
A)37.62 yr
B)36.62 yr
C)35.62 yr
D)34.62 yr
E)38.62 yr
A)37.62 yr
B)36.62 yr
C)35.62 yr
D)34.62 yr
E)38.62 yr
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64
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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k this deck
65
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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66
$4500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to triple.(Approximate the result to two decimal places.)
A)21.00 yr
B)20.00 yr
C)34.88 yr
D)24.00 yr
E)23.00 yr
A)21.00 yr
B)20.00 yr
C)34.88 yr
D)24.00 yr
E)23.00 yr
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67
Solve the equation algebraically.Round the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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68
$5500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.)
A)13.84 yr
B)10.84 yr
C)12.84 yr
D)11.84 yr
E)14.84 yr
A)13.84 yr
B)10.84 yr
C)12.84 yr
D)11.84 yr
E)14.84 yr
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69
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 261 في هذه المجموعة.
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k this deck
70
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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71
Determine whether or not is a solution to .
A)no
B)yes
is a solution to .A)no
B)yes
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72
Solve the exponential equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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k this deck
73
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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k this deck
74
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
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75
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)1,000
B)1,000,000
C)10,000
D)100,000
E)100
A)1,000
B)1,000,000
C)10,000
D)100,000
E)100
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76
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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افتح القفل للوصول البطاقات البالغ عددها 261 في هذه المجموعة.
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k this deck
77
$2500 is invested in an account at interest rate r, compounded continuously.Find the time required for the amount to double.(Approximate the result to two decimal places.)
A)13.55 yr
B)10.55 yr
C)12.55 yr
D)9.55 yr
E)11.55 yr
A)13.55 yr
B)10.55 yr
C)12.55 yr
D)9.55 yr
E)11.55 yr
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78
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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79
Solve for x.
A)-3
B)-4
C)-1
D)1
E)no solution
for x.A)-3
B)-4
C)-1
D)1
E)no solution
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80
Solve the logarithmic equation algebraically.Approximate the result to three decimal places.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 261 في هذه المجموعة.
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فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 261 في هذه المجموعة.
