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Basic Algebra

Word problems about formulas and rates

(1) If Ramon can mow the entire lawn in x -3 hours, then how much of the lawn does he mow per hour? (2) Toxic pollutants. The annual cost in dollars for removing p% of the toxic chemicals from a town's water supply is given by the formula C(p) =500, 000/100-p a) Use the accompanying graph to estimate the cost f

Interest and Logs

Please show work 74). Find the present value of $45,000 if interest is 3.6% compounded monthly for 1 year. 72). Write each expression as a single logarithm with coefficient Assume all variables represent positive real numbers. 82). Given and . Find each logarithm without using a calculator.

Exponential and logarithmic functions

1) Find the domain of the following: a) Answer: Explain how you obtained your answer here: b) Answer: Show your work or explain how you obtained your answer here: c) Answer: Explain how you obtained your answer here: d) Answer: Show your work or explain how you obtained your answer h

Writing a formula

You have a item that you bought but you lost the sales receipt. There are no price stickers on the item (one of those time saving features for stores) but you remember you gave the clerk $40 and received x in change. Given that the sales tax rate in you state is 6.65%, how would you go about figuring the cost of the item itself

Statements, Logical Connectives and Truth tables.

Here are some questions from a study packet for my final. I would like solutions and explanations so that I may practice before my big test. Thanks! 1. Write a simple sentence and then write the negation. Imagine situations where each statement is true or false. How does the truth value (true or false) of the negation state

Exponential and logarithmic functions

Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the pH of a substance of your choice that is alkaline (basic). Using this pH, show how to find the hydrogen ion concentration, [H+], of th

Basic Math-- Algebra & Geometry

I desperately need help in solving these problems. I have attached MS Word Document, please help me step by step (show the work so I can understand it better for next time). Thank You Very Much!! ---------------------- ***Please see the attached file.*** ---------------------- 1. A restaurant has 7 booths and 16

Solving cubic equation

Dear TA, Please be kind to show me how to factor following equation. Find solution for x. The answer is x=2. I try to factor out an x but that doesn't work and I don't think using the quadratic equation would work either. Also, I try factoring out in pairs but that doesn't work either. Thank you in advance. Y=X+6 Y=X^3 X

Windchill Formula Comparing

Please see the attached file for the fully formatted problems. Use the formula from Exercise 107 to determine who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind.

Basic Algebra

1. Write the ratio 5 to 9 as a fraction. 2. Are the following two lines parallel, perpendicular, or neither? A) Parallel B) Perpendicular C) Neither 3. Complete the following statement. 8,000 lb = ________ tons A) 3 B) 4 C) 5 D) 6 4. Write the ratio of to 6 in s

Number of homes built over a period of time and pH value of a substance.

Deliverable Length: 2-3 paragraphs Details: Library Assignment Part 1: Using the Library, web resources, and/or other materials, find the logarithmic formula that gives the pH of a substance. State what each variable in your equation represents. Find the pH of a substance of your choice that is alkaline (basic). Using th

Solution

Dividing days by months. For how many days of the year do you get a whole number when you divide the day number by the month number? For example, for December 24, the result of 24 divided by 12 is 2.

Understanding nash equilibrium and game theory

Driver 2 Left Right Driver 1 Left 0,0 -1000 -1000 Right -1000, -1000 0,0 -Does either player have a dominant strategy? -Is there a Nash equilibrium in this game? Explain -Why is this game called a coope

MATLAB and projection and perpendicular formulas

Hi, Can you help me with the Question in the second page of this assignment? a) Using the projection formula and the dot and norm commands in MATLAB, find proj(8,−3,1,2,1,2)(4, −5, 2, 6, 1, 3). b) Using the perpendicular formula and commands in MATLAB, find perp(8,−3,1,2,1,2)(4, −5, 2, 6, 1, 3).

Algebra: Basic Word Problem

Reverse the digits and find the product of 23 and 64. The products are the same. Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers (with different digits) that have this property.

Cases of the infection will there be 16 years from now

Suppose that If N = sqrt(x+3) is the model for the number of cases of an infection, in millions, of a disease x years from now. a) How many cases of the infection will there be 16 years from now? b) In how many years will there be 7 million cases?

Energy and Displacement

The displacement of a body is given by s =4 sin(t+30degrees),and a force acting upon the body is given by F= 7 sin(t-60degrees). If the energy of the motion,E at time t is the product Fs,show that E= -14 cos(2t-30degrees)

Radical Expressions,Equations,Quadratic Formula

Objectives Radical Expressions, Radical Equations, and the Quadratic Formula ? Simplify radical expressions. ? Perform operations with radical expressions. ? Solve radical equations. ? Solve a quadratic equation using the quadratic formula. ? Determine the number of solutions for a quadratic equation by using the discri

Measures of Central Tendency

This Discussion will give students the opportunity to calculate or identify the three measures of central tendency. Select an appropriate real life situation where one measure would be more appropriate than the other two measures of center. a.Select a common topic or hypothesis and record the topic in your posting. "Wha

Equation vs. expression

What is the difference between an equation and an expression? Include an example of each. Can you solve for a variable in an expression? Explain. Can you solve for a variable in an equation? Explain. Write a mathematical phrase or sentence for your classmates to translate

Graphs, Tables and Solving Quadratic Equations

Math Assignments 2 1. 17 weekly low temperatures, in degrees Fahrenheit, were recorded during the months of February, March, April and May for a certain city. Using the Table function of Microsoft® Word, make a stem and leaf plot of the following data. Temperatures: 15, 20, 27, 22, 28, 24, 30, 35, 38, 36, 44, 47, 42, 49

Applications of Inequalities and Equations: Landscape design

Landscape Design Landscape designers often use coordinate geometry and algebra as they help their clients. In many regions, landscape design is a growing field. With the increasing popularity of do-it-yourself television shows, however, many homeowners are becoming amateur landscape artists. Suppose you are a homeowner ge

Math problems

Please show work Please show work 20. Give the focus, directix, and axis for each parabola. 36. Write an equation for each parabola with vertex at the origin. Through (-2, ), opening left 38. Write an equation for each parabola with vertex at the origin. Through (2,-4), symmetric with respe

College Algebra

Please show work on problems attached. 14. Solve each system by substitution. 24. Solve each system by elimination. 32. Solve each system. State whether inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary. 34. Solve

Algebra Problems. (Slope, parallel, perpendicular lines)

Find the slope of the line that goes through each pair of points. Slope Using coordinates Find the slope of the line that goes through each pair of points. Parallel and Perpendicular Lines Solve problem. Find the slope and y-intercept for each line that has a slope and y-intercept. x + y = 5 Standard Form Write eac

Real-life Applications of Quadratic Equations

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, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for

Solve the equation points

Find the points at which the graphs intersect by solving the equations simultaneously. The answer is 0 and 1. I understand how to get the 0 and 1 but what I don't get is how to solve the equation (x2+x+1). Please see the attached file for the fully formatted problems.

Maximal ideals

With respect to the ideal I=<2,x> in Z[x] I believe this ideal is maximal because one theorem I have read suggests to me that all maximal ideals of Z[x] are in the form <p, f(x)> where p is prime and f(x) is an element of Z[x] and irreducible mod p. It appears that <2,x> fits this description. Did I understand correc

Mathematics - Other - Explanation of posting

For the problem presented #247154 The example that was given was great but am a little confuse and one of my classmates ask me the following question to help understand the answer. Can you clarify the question. Okay, you have totally confused me now. You say, "Totally we have 4 + 2 + 2 + 1 = 9 letters n = 9 But there a