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Question
Expand the following expression using rules of logarithms:
A)
B)
C)
D)
Answer
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Related questions
Q:
The following equation represents the best-fit regression line for median personal total income of adult males vs. years of education past eighth grade in Northern Wisconsin.
Median personal income = 5,813 + 5,567 years of education
What would be the expected annual personal income of a male who had 8 years of education past eighth grade?
Q:
The following equation represents the best-fit regression line for median personal total income of adult males vs. years of education past eighth grade in Northern Wisconsin.
Median personal income = 4,370 + 5,796 years of education
What would be the expected annual personal income of a male who had 0 years of education past eighth grade?
Q:
Create an estimate of a linear model for this data. Use points C and E from this table to estimate the slope, and then use point C to estimate the vertical intercept. Round the answers to 2 decimal places. Ounces of Polymer in Mold
Time to Cool (Min.) A
3.2
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3.9
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Q:
This table shows the final exam scores (y) compared to the hours studied (x) for 5 randomly selected students. Time spent Studying (hours)
Final Exam Score A
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81 A). Use points A and D from this table to estimate the slope of the linear model for this data.
Round the answer to 2 decimal places.
B). Use point A to determine the vertical intercept of the linear model.
Round the answer to 2 decimal places.
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Use points D and E from this table to estimate the slope of the linear model for this data. Advertising Expense ($1000s)
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$268.58 B
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$411.00 Round the answer to 2 decimal places.
Q:
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Create a function for the diameter of a tumor after t days if the volume of the tumor doubles every 162 days and the tumor has an initial volume of 0.42 cubic cm. (Round all numbers to 5 decimal places.)
Q:
The table below gives the life expectancy of a child (at birth) in the United States for selected years from 1920 to 1990.
(Source: Department of Health and Human Services) Year
1920
1930
1940
1950
1960
1970
1980
1990 Life expectancy
54.1
59.7
62.9
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69.7
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75.4 Complete the sentence:
Between 1930 and 1940, the life expectancy of a child increased by A)___________ years of life which is an average increase of B)___________ years of life expectancy each year.
Round answers to 2 decimal places if necessary.
Q:
The graph below shows the number of birds at a bird feeder as a function of time. What event most likely occurred during interval E?
A) A cat chases all the birds away.
B) Birds are coming back after being chased away by a cat.
C) The feeder is full of birds and there is no room for more.
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Q:
On what interval is this graph increasing. State your answer in interval notation.
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Each of these tanks is being filled with a pipe that delivers 6 gallons of water per minute. Which graph best represents the height of the water in each tank as a function of time? A) B) C) D)
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Over what interval is the function concave down?
Write your answer in interval notation.
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The following graph shows the population (in thousands) of two cities, City 1 and City 2. What was the difference in population (To the nearest 1,000.) between the two cities in 2000?
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Over what interval(s) is the function positive?
Write your answer in interval notation. If two intervals are needed, write your answer in the form .
Q:
If Fancis pays 23% of each paycheck for payroll deductions, which function would properly describe her take-home pay, T, as a function of her gross pay, p?
A) T = 0.23 p
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C) T = (1 - 23) p
D) T = (1 - 0.23) p
Q:
Solve the following equation for y in terms of x and then express in f(x) form.
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The following graph shows the populations (in thousands) of two cities, City 1 and City 2 Find the range of population for City 1
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The following grid shows the graph of the function, . Find the range of the function.
A) B) C)
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Find an equation that represents the relationship between x and y in this table: x
y -1
-8 0
-8 1
-8 2
-8 3
-8
Q:
Find an equation that represents the relationship between x and y in this table: x
y -2
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4 0
1 1
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-5
Q:
Determine if this set of points represents a function.
(7, 10), (6, -1), (-4, -6), (-8, -3), (4, -8)
A) Yes. The points represent a function.
B) No. The points do not represent a function.
Q:
A taxi company has the following fare policy: any trip of 5 miles or less costs $5.00 and the cost for each additional mile is $0.35. The company will not make a trip longer than 30 miles.
Which formula and domain best describe the relationship between the cab fare, f, and the length of the trip, t, 5 miles or longer.
A) ; Domain: [5,30]
B) ; Domain: [0,)
C) ; Domain: (0,30]
D) ; Domain: [5,)
Q:
Based upon the scatterplot choose the answer that best describes the relationship between x and y. A) y is a function of x
B) x is a function of y
C) both A and B
D) None of the above
Q:
For the given equation , which could never be a value of y?
A) 6
B) 1
C) -7
D) 2
Q:
Which graph displays the solutions to the equation below? A) B) C)
Q:
Use the graph below to answer the questions. In what month did milk prices reach $1.79 per gallon?
A) 2
B) 3
C) 6
D) 4
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Determine whether the ordered pair, (-3,-5), satisfies the equation.A) NoB) Yes
Q:
The following graph shows the results from 2,000 teenagers (ages 13 - 17) in the U.S. that were randomly selected and asked about the time they spent exercising each week. What percentage of 13 - 17 year old males exercise 3 hours or less per week?
Q:
The histogram below was created use the ages of members of a certain family. Find the relative frequency of the family members in the 31-40 age range. A) 3.125%
B) 1
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Q:
The bar chart below was created using the number of children of each of the last 20 U.S. Presidents. Find the relative frequency of presidents who had 3 children.