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Question
Contract the following expression using rules of logarithms. Express your answer as a single logarithm.
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
8.46 B
3.9
9.82 C
4.8
12.24 D
4.3
11.84 E
6.1
15.08
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
2.8
46 B
4.0
66 C
5.0
75 D
4.4
68 E
5.9
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.
Q:
Use points D and E from this table to estimate the slope of the linear model for this data. Advertising Expense ($1000s)
Sales ($1000s) A
$38.7
$268.58 B
$41.5
$291.30 C
$50.1
$345.34 D
$44.0
$308.60 E
$60.0
$411.00 Round the answer to 2 decimal places.
Q:
A national organization for retired persons claims that a retiree should have 8 years worth of income saved plus any additional amount needed to relocate (if desired) after retirement. The annual inflation rate is approximately 1.3%. A person who currently earns $34,000 per year wishes to relocate upon retirement. The move would cost $18,200 in today's money. How much should this person plan to have in savings at retirement if they plan to retire in 11 years. (Round the answer to the nearest penny.)
Q:
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
68.2
69.7
70.8
73.7
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.
D) The feeder was still empty from the previous day.
Q:
On what interval is this graph increasing. State your answer in interval notation.
Q:
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)
Q:
Over what interval is the function concave down?
Write your answer in interval notation.
Q:
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?
Q:
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
B) T = 23 p
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.
6x(8 - x) = 3x - y
Q:
The following graph shows the populations (in thousands) of two cities, City 1 and City 2 Find the range of population for City 1
A) B) C) D)
Q:
The following grid shows the graph of the function, . Find the range of the function.
A) B) C)
Q:
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
7 -1
4 0
1 1
-2 2
-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
Q:
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
C) 1%
D) 35
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.