A man running at an average rate of 6 miles per hour runs 1/6 of the way to the railroad station in 15 minutes and walks the rest of the way. How many hours would it take him to walk the entire distance at an average rate of 4 miles per hour? a. 2/3 b. 1 c. 5/3 d. 9/4
In drag racing, both vehicles begin at a dead stop, and then accelerate through 1/4 mi. Let us say, for the sake of discussion, that our two vehicles are not quite matched in power. That is, vehicle A can accelerate from 0 mph to 60 mph in 5 secs. Whereas the vehicle B can accelerate from 0 mph to 60 mph in 4 secs. DQ 1:
Write a mathematical phrase or sentence for your classmates to translate. Ten more than six times some number.
Hi! I'm using old tests to study for an abstract algebra exam and of course the old exams do not come with solutions. This means that I need help. I tend to struggle with proofs because I forget some steps or I am not as rigorous as I should be. Thus I need to see actual complete rigorous proofs so that I can make sure that I re
Please see the attached file for the fully formatted problems. MTH133 Unit 2 - Individual Project - A Name: 1) Solve the following by factoring ... 2) If , find a) f(2) b) f(-1) Show your work here: 3) Solve 6x2 + 3x - 18 = 0 using the quadratic formula. Read the information in the assignment list t
Please see attachment. I've been working on this for the last few days. Some of the problems I understand and some I do not. 1. Perform the indicated operation: 2 (see the attached file). 3 5 2. Use order of operations to simplify: 25 - 3(22 + 1) = 3. Simplify: 5(2a - 3b) + 3(4
Can you tell if my answer is right I rounded off to the nearest ten thousands. 900,000 is this correct? I get so confused when it comes to rounding off numbers.
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.
1. Evaluate: 7 -|(-3)(2) - 2| 2. Simplify: 7x - (4 - 2x) 3. Ross jogs at a rate of one mile every 0.25 hours. At what rate is he jogging in miles per hour? 4. Solve for x: 5(2x-3) =x+3 5. Solve for x: (1/2) x - 1/3 = (1/4) x+ 1/6 6. Solve for x: 2x- 3 = ax 7. Solve: |3x-9|=3 8. Solve the in
Let S be the set of ordered pairs of positive integers, let z = (5,8), and define R so that (x1, x2) R (y1, y2) means that x1 + y2 = y1 + x2. Show that the given relation R is an equivalence relation on the set S. Then describe the equivalence class containing the given element z of S, and determine the number of distinct eq
The volume of a box is the product of its length, width, and height. Find a function f that models the volume of a box if the width of the box is 9 feet and its height is 3 feet more than its length. Find the volume of the box if the length is 21 feet.
The table shows how many inches are in varying numbers of centimeters. cent in 3 1.17 4 1.56 5 1.95 8 3.12 10 3.9 Use cent for x and in for y and graph the points. What is the slope of the graph? what is the meaning of the slope?
The revenue of Theta Corporation is given as R=15x, where x is the number of units produced (in thousands). If the cost is how many units will have to be produced before the company breaks even?
96. World grain demand. Freeport McMoRan projects that in 2010 world grain supply will be 1.8 trillion metric tons and the supply will be only _3/4 _of world grain demand. What will world grain demand be in 2010? 94. Fahrenheit temperature. Water boils at 212°F. a) Use the accompanying graph to determine the Celsius tempe
Suppliers of transistor radios will market 10,000 units when the unit price is $20 and 62,500 units when the unit price is $35. Determine the supply function if it is known to have the form P = a¡Ìx+b (a ¡Ý0, b ¡Ý 0) Where x is the quantity supplied and p is the unit price in dollars. Sketch the graph of the supply
Refer to the following scenario to answer questions #1 through #5.Tanya waits tables for customers in her mothers restaurant. She earns an average $4.00 in tips for each table, and will make about 8 trips to the table for each meal. She make a chart to show her work and tips for 8 to 12 tables. Use the chart to analyze the data
Rapid Transit - After x weeks, the number of people using a new rapid transit system was approximately N(x) = 6x^3 + 500x + 8000 a) At what rate was the use of the system changing with respect to time after 8 weeks? b) By how much did the use of the system change during the eighth week?
Please see the attachment for examples that I need solved. These will serve as reference to what I currently am working on. Thank you. Find the root Use the product rule to simplify. All variables represent nonnegative real numbers. Use the rules of exponents to simplify each expression. Write each radical expression in s
Money is transferred continuously into an account at the constant rate of $2,400 per year. The account earns interest at the annual rate of 6% compounded continuously. How much will be in the account at the end of 5 years?
Give an example of using the distributive property for a negative monomial times a trinomial with different signs on the terms[for example:-3x(2xy+3y-2x)] and show each step of the distribution. Why do you think many students make sign errors on this type of problem? What would be your advice to a student who has trouble with si
It is estimated that the demand for a manufacturer's product is increasing exponentially at the rate of 2% per year. If the current demand is 5,000 units per year and if the price remains fixed at $400 per unit, how much revenue will the manufacturer receive from the sale of the product over the next 2 years?
One of the slowest fish is the blenny fish. The function y = 0.5x describes how many miles y the fish swims in x hours. Graph the function. Use the graph to estimate the number of miles the fish swims in 3.5 hours. Can you please help me with my son's algebra? They do not work from a book so there are no other examples f
Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent. 36.y =-3x+19 y = 2x-1 38. y = -4x-7 y =3x 42. y = x+4 3y-5x = 6 56. 2x- y = 6 2x - y = 3 Solve each system by the substitution method. 70. x + 3y =2 -x + y =1 Solv
How well do we understand how errors propagate? Consider a problem whose correct answer is x =99.89. To get credit you have to submit an answer good to within 3.0% . (a) What is the largest answer that the system will accept -- give your answer to 0.5 % (b) What is the smallest answer that the system will accept -- give
For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, , let r = 10%, P = 1, and n = 1 and give the coordinates (t, A) for the points where t = 0, 1, 2, 3, 4. a) Show coordinates in this space b) Show graph here
Elasticity and Revenue Suppose that q = 500 - 2p units of a certain commodity are demanded when p dollars per unit are charged, for 0<=p<=250. a) Determine where the demand is elastic, inelastic, and of unit elasticity with respect to price. b) Use the results of part (a) to determine the intervals of increase and
During the summer, a group of students builds kayaks in a converted garage. The rental for the garage is $1,500 for the summer, and the materials needed to build a kayak cost $125. The kayaks can be sold for $275 apiece. a) How many kayaks must the students sell to break even? b) How many kayaks must the students sell to
Civil engineers are designing a section of a highway. They need to install a storm drain at the lowest point of a curve whose equation is y = .00003x^2 - .05x + 1000 where x is the number of feet above sea level. How many feet above sea level, the nearest foot, is the lowest point of the highway?
A open box has a volume of 1000 cubic inches to be constructed from a 22 in by 30 in sheet of cardboard by cutting squares of equal size from each corner and folding up the sides. What size square should be cut from each corner?
An architect wants to design a rectangular room so that its length is 8 meters more than its width, and its perimeter is greater than 56 meters. If each dimension of the room must be a whole number of meters, what are the smallest possible dimension in meters of the room?