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# Basic Algebra

### Population growth

If my town's population grows each year at 1,000 what would the population growth be in t= 2010.2011,2012, 2013,& 2016yrs b) find linear equation in the form P = mt + b (y = mx + b), which gives the population, P, t years from 2010. c) using the equation in part b to approximate the population in the year 2030. d)

### Express the area of the plane figure shown below as a polynomial.

Consider the following diagram (See Attachment). Express the area of the plane figure shown below as a polynomial. Explain!

### Estimate how long it takes you to complete a task of your choice in a given week.

Part 1: Using the Library, web resources, and/or other materials, find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswold, 2006). Include in your post the type of bird and the avera

### Several basic statistics and finite math problems

Attached are the math/algebra problems that I am having a hard time solving. Please show your work so I have an understanding of how to solve future problems of these sorts....Thanks! (Please see the attachment rather than the copied material here.) ____________________________________________________ Use the following

### Mathematical induction/pascal triangle

Please help me with the attached pre-calculus questions. 1. Use mathematical induction to prove that 6 is a factor of n (n + 1)(n + 2). 2. Use mathematical induction to prove 1^2 + 3^2 + 5^2 + . . . + (2n - 1)^2 = n (4n^2 - 1) / 3. 3. Expand (2x - y)^6 using binomial coefficients and then evaluate each coefficient. Ex

### Estimate the wingspan of a bird from its weight and Estimate how long it takes you to complete a task of your choice (house cleaning, mowing, etc.) in a given week.

Using web resources, and/or other materials, find the average weight in pounds of a type of bird of your choice. Use the rational exponent equation L = 2.43 * W^0.3326 to estimate the wingspan L in feet of the bird that weighs W pounds (Rockswold, 2006). Include in your post the type of bird and the average weight and show the c

### Perform the indicated operation

Please see the attached file. 1. Simplify (2x^3 y^3)^3 divided 9z^9 2. Perform the indicated operation. Write the answer in scientific notation. 12x10^5 divided (3x10^-2) 3. Rewrite as a base to a power, if possible (9^5 xy)(9^4 x)(9^4 xyz) 4. Simplify (7^3)^9 5. Translate the phrase to an algebr

### Graph the equation using the slope and the y-intercept

1. Graph the equation using the slope and the y-intercept y=10/7x+3 2. Solve by the substitution method 3x+4y=12 x=37-5y 3. Solve: 5/8x + 1/16x=3/16 + x 9. Type an inequality -0.05x<-45 I think the answer is x>900 is that right? 10. Translate to an a

### Making an Open-top Box from a Cardboard

Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?

### Correlation, Linear Regression, Anova

Need help in doing those problems (attached) in SPSS.

### Problems in Algebra - Quadratics and Graphing

Practice problems in Algebra, including mostly quadratics and graphing. See the attached questions file. 1). Rationalize the denominator and simplify 2). Solve for , where t is a real number. If there is more than one solution, separate them with commas. 3). Solve for where x is a real number. If there is more than

### Rational Expressions for Volume

Please provide all work and steps taken to answer each problem. Thank you. Simplify the following expression 1). -(-6x-w)-3(-5w-2x) 2). The volume of a right circular cone is given by V= The letter stands for the radius of the circular base of the cone, and h is the height of the cone. Solve for . 3). Express the f

### Common and Natural Logarithms - For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled.

For the exponential function ex and logarithmic function log x, graphically show the effect if x is doubled. The response should include the reasons for graphically representing the effect in a particular way. Calculate the values for ex and e2x correctly. Plot the values of ex and e2x correctly. Calculate the val

### Part 1: Measure the distance of the diagonal (from one corner to the opposite corner) of the screen on your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch ... Part 2: Using the Library, web resources, and/or other materials, find a real-life application of a quadratic function. State the application, give the equation of the quadratic function ...

Part 1: Measure the distance of the diagonal (from one corner to the opposite corner) of the screen on your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Measure the height of the screen along the vertical as well. Use the Pythagorean theorem to find the width along the horizontal In your post

### 10 Theory Questions and 4 Problems (with many parts) - See the attached question file for all the questions.

Theory Questions: 1. Post a response to the following: How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school? Can understanding how to do one kind of division help you with understanding the other kind? What are some examples from real life in which you mig

### Real-life situation represented by an exponential function

Think of a real-life situation that can be represented by a exponential function; translate the situation to the function; solve the function and represent it graphically. I want to use my example below: Suppose you deposit \$100 at 10% interest. How long will it take to get \$200? THANK YOU!!

### Radical Expressions in Daily Life

Reflect on radical expressions and their applications, and then consider how you might apply radical expressions to your daily life. Explain this application, and discuss what the equation might be. Did the study of these types of equations help you to understand the application better?

### Semiannual Compounding: Polynomial Equation

P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannualy, then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynomial if P=\$200 and r = 10%.

### Word Problem Involving Polynomial

Rose's garden is a square with sides of length x feet. Next spring she plans to make it rectangular by lengthening one side 5 feet and shortening the other side by 5 feet. What polynomial represents the new area? By how much will the area of the new garden differ from that of the old garden?

### Graphing,Exponential and Logarithmic Functions! HELP!!!!!

Http://www.purplemath.com/modules/graphexp.htm http://www.purplemath.com/modules/expofcns.htm http://www.purplemath.com/modules/logs.htm http://www.purplemath.com/modules/graphlog.htm http://www.purplemath.com/modules/logrules.htm Spend some time on these sites and go through the information on graphing exponential and lo

### Algebra Practice Questions on Phone Services

4) Media Services charges \$40.00 for a phone and \$30/ month for its economy plan. The equation c=30t +40 describes the total cost, c, of operating a Media Services phone for t months. The total cost for 7 months of service is?\$___ If a customer has only \$110 available, how many months of service can she receive? 5) Graph the

### Lines and equations

See attached 33) Translate to an algebraic expression The product of 33% and some number The translation is ___? Type the percentage as a decimal, use d to represent some number 35)solve by the elimination method 7r-6s=2 6r+7s=111 What is the solution of the system________? (Type an ordered pair. Type an integer or

### Abstract Algebra: Algebraic Extensions

Please see the attachment to see these questions properly. _____________________________________________ Question 1 If [K:F] is finite and u is algebraic over K ,prove that [F(u):F] divides [K(u):F] Hint:[F(u):F] and [K(u):F(u)] are finite by Theorems 10.4,10.7 and 10.9 Apply Theorem 10.4 to Theorem 10.4 Le

### 29) Solve then graph: 5x >= 30 ... [See the attached question file for all the questions.]

29) Solve then graph 5x >= 30 30) Trains A and B are traveling in the same direction on parallel tracks. Train A is traveling at 80 miles per hour and train B is traveling at 100 miles per hour. Train A passes a station at 3:5 a.m. If Train B passes the same station at 3:30 a.m., at what time will train B catch up to train A.

### Population

Suppose a population of initial size 100 grows at the rate of 8% per year forever. What is the size of the population at the end of year 1? What is the size of the population at the end of year 2? What is the size of the population at the end of year 3? What is the size of the population at the end of year n (for any integer

### Irreducible polynomial; algebraic over R

1. Prove that the polynomial x^4 - 16*(x^2) + 4 is irreducible in Q[x] (the ring of all polynomials with rational coefficients). 2. Show that every element of C (i.e., every complex number) is algebraic over R (the ring of all real numbers).

### Factorization Strategy

Can you please explain a general strategy for factoring in a very organized way. Give an example if possible.

### Algebra Practice Problems: Integers

1. Solve. 2x / 5 = -10 2. The sum of an integer and its square is 12. Find the number 3. Solve. 4(7x + 10) = 3(9x - 5) + 20 4. Simplify ( 3x - 6y)2 5. The product of two consecutive numbers is 30. Find the smaller of the numbers. 6. Subtract 4x2 - 5x from the sum of 9 x2 -2 and 6x - 1. 7. A pair of cuff links

### Algebraic theory

Proofs (see attached) Question 1 Let b and d be distinct nonzero real numbers and c any real number .Prove that { b,c +di } is a basis of C over R. Hint-For any r + si ∈ C, r +si= (r/b-cs/bd)b +s/d(c+di).Hence {b,c + di} spans C over R. Prove that it is also linearly independent over R. Question 2 If a+bi ∈

### Algebra Practice Questions: Find the Slope and Domain

(Please see the attached file for the ALL questions). Find the slope, if it exists (simplify your answer use an integer or a fraction, use N if the slope is undefined). X=-2 m=__?__ Find the domain of the function 9 g(x) ___ 3-7x Soybean meal is 12% protein; cornmeal is 6% protein. How many