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?
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)
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
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
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
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
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
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
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
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
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
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.
In your own words, define the four different sampling techniques.
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
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
The term t (in years) of a $120,000 home mortgage at 10% interest can be approximated by t = 5.315 / (-6.7968 + log(x)), x > 1000, where x is the monthly payment in dollars. [this problem is meant to be solved using a graphing utility] a) Use a graphing utility to graph the model. [No problem; I have Maple] b) Use the mo
Please see attachment and show work 28. Solve each logarithmic equation. 48. On December 26, 2004, the third largest earth quake ever recorded struck in the Indian Ocean with a magnitude of 9.1 on the Richter scale. The resulting tsunami killed an estimated 229,900 people in several countries. Express this readi
Jon is a traveling salesman for a pharmaceutical company. His territory includes 5 cities and he needs to find the least expensive route to the cities and home. Starting at city A, determine the optimal route using nearest neighborhood method. Attached is the whole problem with the diagram.
Please provide a detailed solution to the attached problem. I already found the multiplication table for a field with 4 elements (and showed that the nonzero elements form a cyclic group). Hence for the second part of the question, please only write down a multiplication table for 9 elements (and show that the nonzero elemen
Problem #1. Solve each equation show your work and check your answers. 0.6 = ─ 1.2 + X Problem # 2 ─ ỵ = ─ ⅓ Equations of the Form axb0 Solve each equation. Show your work and check your answer Problem # 3 ─ 1 ∕ 7z ─ 5 = 0 Equations of the Fo
An interesting method for solving quadratic equations came from India. The steps are: (a) Move the constant term to the right side of the equation (b) Multiply each term in the equation by four times the coefficient of the x2 term. (c) Square the coefficient of the original x term and add it to both sides of the equation. (d
? Demonstrate that factoring a polynomial is the reverse of multiplying a polynomial. ? Use greatest common factor (GCF) to factor monomials out of quadratic trinomials. ? Factor single-variable polynomials by grouping. ? Factor quadratic trinomials. ? Factor multivariate polynomials by grouping. ? Factor differences of squ
The picture is just of a square 3/4 of the square is shaded if I can get help with that information thank you you will not be able to see the picture of the square. 1. Area of a square. Find a polynomial A(x) that represents the area of the shaded region in the accompanying figure. ------------------X--------------------
Please show all steps of your solution must be shown and a few words to explain what you did to solve the problem. For instance, if lowest common denominators are required show how you determined the value of the LCD. If factors are removed, show the value of the total factor removed. Please do not just supply an answer. 1
This Discussion tests our ability to use a ruler and convert from Standard English measure to Metrics. a.Choose a room in your house. Measure the length, the width and the height. Make sure you use feet and inches. Most rooms are not a whole number such as 10 feet; they are 10 feet and 3 inches, or 9 feet 6 inches, etc.
(a) = _______ (fill in the blank) (b) Let . Write the exponential form of the equation and solve the equation for x. A farmer has 60 feet of fencing with which to enclose a rectangular pen adjacent to a long existing wall. He will use the wall for one side and the available fencing for the remaining thr
Help with this table. 1) Consider a firm that has just built a plant, which cost $20,000. Each worker costs $5.00 per hour. Based on this information, fill in the table below. Number of Worker Hours Output Marginal Product Fixed Cost Variable Cost Total Cost Marginal Cost Average Variable Cost Average
Problem Remember to simplify all answers 1. a) Give the place value of 9 in 4,938,300. b) Give the place value of 7 in 54,763 2. a) Name the property of addition that is illustrated. 4 +15 = 15 +4 b) Name the property of multiplication that is illustrated. 6 x 5 = 5 x 6
How do you know if a value is a solution for an inequality? How is this different from determining if a value is a solution to an equation? If you replace the equal sign of an equation and put an inequality sign in its place, is there ever a time when the same value will be a solution to both the equation and inequality? Write a
1. Write out the 2 equation for this. If a sofa and a chair cost $850.00 as a set. The sofa cost $100.00 more than twice as much as the chair. 2. A boat travels 24 miles upstream in 3 hours. It takes 3 hours to go 36 miles down stream. What are the to equations? what is the speed of the boat in still water? what