New Semester
Started
Get
50% OFF
Study Help!
--h --m --s
Claim Now
Question Answers
Textbooks
Find textbooks, questions and answers
Oops, something went wrong!
Change your search query and then try again
S
Books
FREE
Study Help
Expert Questions
Accounting
General Management
Mathematics
Finance
Organizational Behaviour
Law
Physics
Operating System
Management Leadership
Sociology
Programming
Marketing
Database
Computer Network
Economics
Textbooks Solutions
Accounting
Managerial Accounting
Management Leadership
Cost Accounting
Statistics
Business Law
Corporate Finance
Finance
Economics
Auditing
Tutors
Online Tutors
Find a Tutor
Hire a Tutor
Become a Tutor
AI Tutor
AI Study Planner
NEW
Sell Books
Search
Search
Sign In
Register
study help
mathematics
college algebra graphs and models
College Algebra 7th Edition Robert F Blitzer - Solutions
If the population of the United States is approximately 3.0 × 108 and each person produces about 4.6 pounds of garbage per day, express the total number of pounds of garbage produced in the United States in one day in scientific notation.
In Exercises 15–58, find each product.(8x3 + 3)(x2 - 5)
Simplify each exponential expression in Exercises 28–31.(-5x3y2)(-2x-11y-2)
Express in scientific notation: 0.00076.
In Exercises 29–34, find the union of the sets.{1, 2, 3, 4} ∪ {2, 4, 5}
In Exercises 17–38, factor each trinomial, or state that the trinomial is prime.4x2 + 16x + 15
A human brain contains 3 × 1010 neurons and a gorilla brain contains 7.5 × 109 neurons. How many times as many neurons are in the brain of a human as in the brain of a gorilla?
Evaluate: 27-5/3.
How can you distinguish parabolas from other conic sections by looking at their equations?
Write an equation for the path of each of the following elliptical orbits. Then use a graphing utility to graph the two ellipses in the same viewing rectangle. Can you see why early astronomers had difficulty detecting that these orbits are ellipses rather than circles?• Earth’s orbit: Length
In Exercises 81–84, determine whether each statement makes sense or does not make sense, and explain your reasoning.I changed the addition in an ellipse’s equation to subtraction and this changed its elongation from horizontal to vertical.
Look at the satellite dish shown in Exercise 71. Why must the receiver for a shallow dish be farther from the base of the dish than for a deeper dish of the same diameter?Data from Exercise 71A satellite dish, like the one shown below, is in the shape of a parabolic surface. Signals coming from a
In Exercises 81–84, determine whether each statement makes sense or does not make sense, and explain your reasoning.I noticed that the definition of a hyperbola closely resembles that of an ellipse in that it depends on the distances between a set of points in a plane to two fixed points, the
In Exercises 83–86, determine whether each statement makes sense or does not make sense, and explain your reasoning.I graphed an ellipse with a horizontal major axis and foci on the y-axis.
Explain how to identify the graph of Ax2 + Cy2 + Dx + Ey + F = 0.
In Exercises 81–84, determine whether each statement makes sense or does not make sense, and explain your reasoning.I graphed a hyperbola centered at the origin that had y-intercepts but no x-intercepts.
In Exercises 90–93, determine whether each statement makes sense or does not make sense, and explain your reasoning.I graphed a parabola that opened to the right and contained a maximum point.
Explain how to use mathematical induction to prove that a statement is true for every positive integer n.
Use the formula for nPr to solve Exercises 41–48.In a production of West Side Story, eight actors are considered for the male roles of Tony, Riff, and Bernardo. In how many ways can the director cast the male roles?
What is a combination?
Use the formula for the value of an annuity to solve Exercises 77–84. Round answers to the nearest dollar.At age 25, to save for retirement, you decide to deposit $50 at the end of each month in an IRA that pays 5.5% compounded monthly.a. How much will you have from the IRA when you retire at age
In Exercises 76–82, solve by the method of your choice.How many different ways can a director select 4 actors from a group of 20 actors to attend a workshop on performing in rock musicals?
What is the meaning of the symbol Σ? Give an example with your description.
In Exercises 78–81, determine whether each statement makes sense or does not make sense, and explain your reasoning.I was able to find the sum of the first 50 terms of an arithmetic sequence even though I did not identify every term.
In Exercises 77–80, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.To find the fifth term in the expansion of (2x + 3y)7, we use the formula for finding a particular term with r = 5, a = 2x, b = 3y, and n = 7.
Explain how to distinguish between permutation and combination problems.
Use the formula for the value of an annuity to solve Exercises 77–84. Round answers to the nearest dollar.At age 25, to save for retirement, you decide to deposit $75 at the end of each month in an IRA that pays 6.5% compounded monthly.a. How much will you have from the IRA when you retire at age
In Exercises 76–82, solve by the method of your choice.From the 20 CDs that you’ve bought during the past year, you plan to take 3 with you on vacation. How many different sets of three CDs can you take?
You buy a new car for $24,000. At the end of n years, the value of your car is given by the sequenceFind a5 and write a sentence explaining what this value represents. Describe the nth term of the sequence in terms of the value of your car at the end of each year. an = 24,000 (²). n = 1, 2, 3, ....
In Exercises 77–80, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement.There are no values of a and b such that (a + b)4 = a4 + b4.
In Exercises 78–81, determine whether each statement makes sense or does not make sense, and explain your reasoning.The sequence for the number of seats per row in our movie theater as the rows move toward the back is arithmetic with d = 1 so people don’t block the view of those in the row
Write a word problem that can be solved by evaluating 7C3.
Use the formula for the value of an annuity to solve Exercises 77–84. Round answers to the nearest dollar.To offer scholarship funds to children of employees, a company invests $10,000 at the end of every three months in an annuity that pays 10.5% compounded quarterly.a. How much will the company
In Exercises 76–82, solve by the method of your choice.How many different ways can a director select from 20 male actors and cast the roles of Mark, Roger, Angel, and Collins in the musical Rent?
In Exercises 81–85, use a calculator’s factorial key to evaluate each expression. 200! 198!
Use the Binomial Theorem to expand and then simplify the result: (x2 + x + 1)3.
In Exercises 78–81, determine whether each statement makes sense or does not make sense, and explain your reasoning.Beginning at 6:45 a.m., a bus stops on my block every 23 minutes, so I used the formula for the nth term of an arithmetic sequence to describe the stopping time for the nth bus of
In Exercises 81–85, use a calculator’s factorial key to evaluate each expression. 300 20
Use the formula for the value of an annuity to solve Exercises 77–84. Round answers to the nearest dollar.To offer scholarship funds to children of employees, a company invests $15,000 at the end of every three months in an annuity that pays 9% compounded quarterly.a. How much will the company
In Exercises 76–82, solve by the method of your choice.In how many ways can five airplanes line up for departure on a runway?
Find the term in the expansion of (x2 + y2)5 containing x4 as a factor.
Use the formula for the value of an annuity to solve Exercises 77–84. Round answers to the nearest dollar.Here are two ways of investing $30,000 for 20 years.After 20 years, how much more will you have from the lump-sum investment than from the annuity? Lump-Sum Deposit $30,000 Periodic
Suppose that a survey of 350 college students is taken. Each student is asked the type of college attended (public or private) and the family’s income level (low, middle, high). Use the data in the table to solve Exercises 83–88. Express probabilities as simplified fractions.Find the
In Exercises 81–85, use a calculator’s factorial key to evaluate each expression. 20! 300
Prove that n ("') = (₂,²,). n
A degree-day is a unit used to measure the fuel requirements of buildings. By definition, each degree that the average daily temperature is below 65°F is 1 degree-day. For example, an average daily temperature of 42°F constitutes 23 degree- days. If the average temperature on January 1 was 42°F
Use the formula for the value of an annuity to solve Exercises 77–84. Round answers to the nearest dollar.Here are two ways of investing $40,000 for 25 years.After 25 years, how much more will you have from the lump-sum investment than from the annuity? Lump-Sum Deposit $40,000 Periodic
Suppose that a survey of 350 college students is taken. Each student is asked the type of college attended (public or private) and the family’s income level (low, middle, high). Use the data in the table to solve Exercises 83–88. Express probabilities as simplified fractions.Find the
In Exercises 83–86, determine whether each statement makes sense or does not make sense, and explain your reasoning.I used the Fundamental Counting Principle to determine the number of five-digit ZIP codes that are available to the U.S. Postal Service.
In Exercises 81–85, use a calculator’s factorial key to evaluate each expression. 20! (20 - 3)!
Show that n r n n+ + · ( ₁ ² ₁ ) = (^² + 1).
Show that the sum of the first n positive odd integers, 1 + 3 + 5 + g+ (2n - 1), is n2.
Follow the outline below and use mathematical induction to prove the Binomial Theorem:a. Verify the formula for n = 1.b. Replace n with k and write the statement that is assumed true. Replace n with k + 1 and write the statement that must be proved.c. Multiply both sides of the statement assumed to
In Exercises 83–86, determine whether each statement makes sense or does not make sense, and explain your reasoning.I used the permutations formula to determine the number of ways the manager of a baseball team can form a 9-player batting order from a team of 25 players.
Suppose that a survey of 350 college students is taken. Each student is asked the type of college attended (public or private) and the family’s income level (low, middle, high). Use the data in the table to solve Exercises 83–88. Express probabilities as simplified fractions.Find the
Use the formula for the sum of an infinite geometric series to solve Exercises 85–87.A new factory in a small town has an annual payroll of $6 million. It is expected that 60% of this money will be spent in the town by factory personnel. The people in the town who receive this money are expected
In Exercises 81–85, use a calculator’s factorial key to evaluate each expression. 54! (54 - 3)!3!
Write an equation in point-slope form and slope-intercept form for the line passing through (-2, -6) and perpendicular to the line whose equation is x - 3y + 9 = 0.
Use the formula for the sum of an infinite geometric series to solve Exercises 85–87.How much additional spending will be generated by a $10 billion tax rebate if 60% of all income is spent?
Graph: f(x) = -2(x - 1)2(x + 3).
A mathematics exam consists of 10 multiple-choice questions and 5 open-ended problems in which all work must be shown. If an examinee must answer 8 of the multiple-choice questions and 3 of the open-ended problems, in how many ways can the questions and problems be chosen?
What is the probability of a family having five boys born in a row?
Convert the equation 4x2 + y2 - 24x + 6y + 9 = 0 to standard form by completing the square on x and y. Then graph the ellipse and give the location of the foci.
Fill in each blank so that the resulting statement is true.A combination of numbers, variables, and operation symbols is called an algebraic________ .
Evaluate each expression in Exercises 1–12, or indicate that the root is not a real number. -√25
In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s).8x - y, for x = 3 and y = 4
Fill in each blank so that the resulting statement is true.The negative-exponent rule states that b-n =______ , b ≠ 0.
Evaluate each exponential expression in Exercises 1–22. (-2)4
In Exercises 1–10, factor out the greatest common factor.4x2 - 8x
Fill in each blank so that the resulting statement is true.The set of elements common to both set A and set B is called the______ of sets A and B, and is symbolized by________ .
Fill in each blank so that the resulting statement is true.A simplified polynomial that has two terms is called a/an ________.
Fill in each blank so that the resulting statement is true. ______ , x ≠ 0 x || X | در 3 ·|· 3/10
In Exercises 1–25, simplify the given expression or perform the indicated operation (and simplify, if possible), whichever is appropriate. 7x + 3[9 (2x - 6)]
In Exercises 1–18, simplify the given expression or perform the indicated operation (and simplify, if possible), whichever is appropriate.(2x2y3 - xy + y2) - (-4x2y3 - 5xy - y2)
In Exercises 5–8, find the degree of the polynomial.3x2 - 5x + 4
In Exercises 4–7, let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated set.A ∪ B
Use the quotient rule to simplify the expressions in Exercises 23–32. Assume that x > 0. V24x4 √3x
Simplify each exponential expression in Exercises 28–31.(2x3)-4
College students are graduating with the highest debt burden in history. The bar graph shows the mean, or average, student-loan debt in the United States for five selected graduating years from 2001 through 2013.Here are two mathematical models for the data shown by the graph. In each formula, D
In Exercises 29–34, find the union of the sets.{1, 3, 7, 8} Φ {2, 3, 8}
Simplify each exponential expression in Exercises 23–64. x-6.x12
In Exercises 15–32, multiply or divide as indicated. x² r+ x − 12 rẻ +5x+6 x² + x 30 x² - 2x 2x - 3 x + 3 x² + 7x + 6
Big (Lack of) Men on Campus In 2007, 135 women received bachelor’s degrees for every 100 men. According to the U.S. Department of Education, that gender imbalance has widened, as shown by the bar graph.a. According to the first formula, what percentage of bachelor’s degrees were awarded to men
In Exercises 17–38, factor each trinomial, or state that the trinomial is prime.8x2 + 33x + 4
Simplify each exponential expression in Exercises 28–31. 7x5y6 28x¹5y-2
In 2007, world population was approximately 6.6 × 109. By some projections, world population will double by 2040. Express the population at that time in scientific notation.
Simplify each exponential expression in Exercises 23–64. (x3)7
In Exercises 15–32, multiply or divide as indicated. x3 - 25x 4x2 *2 2x²2 6x + 5 x2 + 5x 7x + 7
In Exercises 15–58, find each product.(x + 5)(x - 5)
In Exercises 29–34, find the union of the sets.{0, 1, 3, 5} ∪ {2, 4, 6}
In Exercises 32–33, write each number in decimal notation.3.74 × 104
In Exercises 15–32, multiply or divide as indicated. x² - 4 x² + 3x - 10 x+5x+6 x² + 8x + 15
In Exercises 15–58, find each product.(7x3 + 5)(x2 - 2)
In Exercises 17–38, factor each trinomial, or state that the trinomial is prime.9x2 + 5x - 4
Simplify each exponential expression in Exercises 23–64. (x11)5
In Exercises 33–58, add or subtract as indicated. 4x + 1 6x + 5 + 8x + 9 6x + 5
In Exercises 32–33, write each number in decimal notation.7.45 × 10-5
Simplify each exponential expression in Exercises 23–64. (x-5)³
In Exercises 29–34, find the union of the sets.{a, e, i, o, u} ∪ Φ
In Exercises 17–38, factor each trinomial, or state that the trinomial is prime.20x2 + 27x - 8
Showing 400 - 500
of 13634
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Last
Step by Step Answers
Get 50% OFF
Claim Now
