In 2000, the average cost of tuition and fees at public four- year colleges was $3500, and in 2005 it was $5100. The supporting information is listed below. Note that the known value for 2001 is $3700. 1.) Cost of Tuition Plot (00,162) and (5,201) to see the shape of the line Slope= (201-162)/5 = 7.8
Show how to calculate distance and time using rational exponents and radial equations.
Year 1996 1998 2000 2002 Percentage 28 36 43 51 Draw a scatter plot and find the equation of the lest square line for the given data. From the least square equation, find the percentage for year 1999.
Use Y=196x-379,400 to estimate the number of radio stations on the air in 1975 and 1985. X(Year) 1950 1960 1970 Y(Stations) 2800 4100 6800 X(Year) 1980 1990 2000 Y(Stations) 8600 10,800 12,600 What are the steps asociated with completing this problem?
A boat is cruising at a constant speed of 20 ft/sec along a course that is parallel to a straight shoreline and 100 ft from it. A spectator standing on the shore begins to videotape the boat as soon as it passes him. (See the attached diagram.) Find the rate at which the spectator must rotate his camera in order to keep the boat
The following table represents weekly sales of a product (in $1,000s). Week Sales 1 14 2 13 3 17 4 14 Forecast sales for week 5 using exponential smoothing with a smoothing constant of 0.4 . Assume the forecast for week 1 is perfect.
In an exponential smoothing model, if the smoothing constant (alpha) were equal to 0, then a. the forecast would never change. b. the forecast would be the same as the forecast for the naive model. c. the MAD would always equal 0. d. the forecast would be impossible to calculate.
In your own words, explain the process of factoring a trinomial with a leading coefficient that is not equal to one. Why is this process more difficult than when the leading coefficient is equal to one? Give an example.
1) I am trying to solve the following quadratic equations that I have been studying for a test. a) x^2+7x+10=0 b) 2x^2-3x-2=0 2) Compute the discriminant of the quadratic equation 3x^2+x+2=0, then write a brief sentence describing the number and type of solutions for this equation.
1. Solve the following quadratic equation by factoring. a) x^2 + 7x + 10 = 0 b) 2x^2 - 3x - 2 = 0 2. Compute the discriminant of the quadratic equation 3x^2+x+2=0. Briefly describe the number and type of solutions for this equation.
1. Construct a truth table for (p Λ q) → ~p. Be sure to include all intermediate steps in the table. 3. Construct a truth table for p ↔ (q V ~ p). Include all intermediate steps in the table. 4. Given p is true, q is true, and r is false, find the truth value of the statement ~q → (p V r). 5. Wr
What constitutes a rational expression? Please give an example for reference. How would you explain this concept to someone unfamiliar with it?
What are like terms? Explain how the distributive property is used to combine like terms.
How can I factor the following polynomials? What is the best way to go about it? 1. 3x3 â?" 3x2â?" 3xâ?" 2x2 + 5 2. 9x4y3 + 18x3y2 + 18 x3y â?" 4x2y3 + 36x2 â?" 8xyâ?" 8xy2 â?" 16 3. 25y2x2 â?" 81z2
(1) Factor the following polynomial. Please describe every step: x4 + 6x3 7x2 32x 144 (2) Make a plot of the function f(x) = x4 + 6x3 7x2 32x 150 for values of x between -5 and 5 Can you comment on the roots of this function?
Antonio is a simple minded carpenter. He bought a shipment of external drywall panels (12 ft x 4 ft) that he wants to use for building new houses in a new development. He does not want to cut them, which means his houses will have a precise relationships between height, width, and depth. Zoning regulations require that homes sho
1. When simplifying like terms, how do you determine the like terms? 2. How do you determine the common factors in an expression? 3. What is factoring by grouping? When factoring a trinomial by grouping, why is it necessary to write the trinomial in four terms? 4. What is a common factor? Where do you use the common fac
Given, this partial equation, how do I complete it? Finding the width I used this equation - L= 2W + 2 I know my length is 10 feet. 10 = 2W + 2 10 -2 ft = 2W +2 - 2 8 = 2W 8/2 = 2W/2
Jack and Jill went up the hill and found that their grandmother had died. She left them in her will only one possession: an antique water pail. Jack and Jill must now make a fair division of the pail using the Knaster inheritance procedure. Jack bids 86 dollars for the pail and Jill bids 40 dollars. Jack gets the pail and has to
** Please see the attached file for the complete problem description ** Express each radical in simple form, rationalize denominator, and perform the indicated operation Show detailed step by step work!
Solve the problem The volume (v) of a gas varies directly as the temperature (t) and inversely as the pressure (p). If v=56 when t=308 and p=22, find v when t = 270 and p=18. A. V=62 B. V=60 C. V=63 D. V=67 E. V=61
The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 75 feet per second is a function of the time (t) and is given by the equation h(t) = 75t - 16t^2. Compute h(1), h(2), and h(4). A. 65; 89; 44 B. 61; 86; 48 C. 59; 89; 46 D. 59; 86; 44 E. 65; 89; 46
Identify the degree of each term of the polynomial and the degree of the polynomial. -7x^3 + 5x^2 + 7x + 3 The degree of the first term is ____ The degree of the second term is____ The degree of the third term is_____ The degree of the fourth term is_____ The degree of the polynomial is_____
Part 1 - Online Calculator Go to http://www.calculator.org/jcalc98.html. This site requires no download. It allows you to copy and paste the answers from the calculator as well, which is a great feature when working on your projects. An alternate website is http://www.sci.wsu.edu/math/math107. Let's practice using the calcula
A laboratory designed a radio telescope with a diameter of 380 feet and a maximum depth of 48 feet. The graph depicts a cross section of this telescope. Find the equation of this parabola.
The formula A=P(1+r)^2 gives the amount A in dollars that P dollars will grow to in 2 years at interest rate r (where r is given as a decimal), using compound interest. What interest rate will cause $2000 to grow to $2247.20 in 2 years? The interest rate is _____% (Type an integer or a decimal. Round to the nearest tenth o
A horseshoe is thrown upward from a initial height of 60 feet with a initial velocity of 40 feet per second. How long after the horseshoe is projected upward. 1. Will it be 20 feet from the ground? 2. will it strike the ground?
The problem looks at a general cubic polynomial, and calculates the conditions needed for exactly two stationary points to exist. It also finds the inflexion point. Consider the cubic polynomial (degree 3) given by, y=ax^3+bx^2+cx+d, where a is not equal to 0. (a) Find the condition on the constants a,b,c so that this f
You have just purchased your first house. Unfortunately, the builder forgot to put a fence around the property and you must now put a fence up so that you can let your pet out in the backyard, without fear of it running away. You want to fence in a rectangular area, but first you must determine the dimensions of the area.
Given: Define a geometric construction as an object that can be created using only a compass and a straightedge. Mathematicians have shown that it is not possible to: 1. Geometrically construct a square with an area equal to that of a given circle. 2. Use a geometric construction to trisect an arbitrary angle. The proo