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Basic Algebra

Negative Exponents and Scientific Notation

Evaluate each expression 1.) 2^3/10-^2 - 2/7^-2 2.) (p^-5)^-9(p^-6)^4/(p^-8)^0(p^4)^-5 3.) 9.3 * 10^-5 4.) 8 * 10^6 5.) 1 * 10^-8/4 * 10^7 6.) Diameter of a circle. If the diameter of a circle is 1.3 * 10^-12 meters, then what is the radius?

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

Quadratics and graphing

Practice problems in Algebra, including mostly quadratics and graphing. See the attached questions file.

Rational expressions

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

Logarithmic functions

You can just switch on the heater of your swimming pool / sauna / living room etc. But if you want to be calculate what time you should switch it on, to make sure that it is not heated up too early (save energy) or too late, you would use the logarithmic functions. Show in detail, how these situations can be represented by a

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?

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

Help! rational equation

Type A cream is 18% butterfat and type B cream is 24% butterfat. Determine how many quarts of each type of cream must be used to create a 90 quart mixture that is 22% butterfat.

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

Convergence and Error Analysis

Define a sequence by the formula in the attached document and suppose that it has been chosen so that the sequence converges to a number p. What is p? What is the order of convergence?

Calculation for a spray solution to be applied

This is just a simple calculation problem on how much chemical and spray should be used to spray a certain area in a field. How much chemical (in ounces) would you need to mix with how much water (in ounces) to make the following foliar fungicide application; a rate of 4.0 ounces chemical per acre in a total spray volume of 20

Solve using the multiplication principle

1. Solve using the multiplication principle -4x> 4. The function H described by H (x)=2.75x+71.48 can be used to predict the height, in centimeters, of a women whose humerus (the bone from the elbow to the shoulder) is x cm long predict the height of a woman whose humerus is 33 cm long . The predicted height of a woman wh

Solving natural log functions

I have a homework problem that I do not understand - please help! We are given the following equation: 3/2 ln 4x^6 - 4/5 ln 2 y^10 We are asked to simplify and re-write this as a single ln equation. The answer in my text is given as follows: ln 2^11/5 x^9/y^8 I do not understand - can you please explain simply so