A simple pendulum, such as a rock hanging from a piece of string or the inside of a grandfather clock, consists of a mass (the rock) and a support (the piece of string). When the mass is moved a small distance away from its equilibrium point (the bottom of the arc), the mass will swing back and forth in a constant amount of tim
The owner of a hobby store bought a case of 9-volt batteries for $26.00. He marked the price up such that his profit was $1.74 per battery. After selling 13 batteries, the store owner had recovered his cost. How many 9-volt batteries are in a case?
Solve t^2 = 4
X^2 - 8x > or equal to 0
X^2 + x > or equal to 0
The height h in feet of an object after t seconds is given by the function: h = -16t^2 +60t + 9. How long will it take the object to hit the ground? Round your answer to the nearest thousandth.
Problem: Find the x-intercept, given that y = x^2 - 5x - 10
Y = x^2 - 2x
Let f(x) = x^4 − 8x^3 + 12x^2 − 6x + 2. Show that f(x) is irreducible over the field of rational numbers. I know that it can't be factored... but how do I show its irreducible?
1/3 ÷ (-4/7)(-1/6) + (-1/18)
Explain in detail.
(x-4)^2 = 3
Please explain the following using an example: If a < b, then -a > -b Why?
I know that the two bars | | around the expression 2-x and x-2 stand for 'absolute value'. But how does using | | differ from using simple brackets such as: ( ) or [ ] ?
1. What is the inherent meaning and justification of cross multiplication as it applies to solving an equality? 2. Is | x -2 | the same as | 2 - x |? Please explain your answer. 3. How do you express the following mathematically? a. y is at least 3 b. y is more than 3 c. y is at most 3 d. y is
See attached file for full problem description.
What's the 'English' meaning of the word 'consecutive'?
Various Algebra Questions. See attached file for full problem description. 1. Simplify: . Show work. 2. Simplify: Show work. Give the exact answer (including a radical). 3. (a) Is the graph of a circle a graph of a function? (Yes or no) (b) Find the center and the radius
Is it possible to write consecutive rational numbers? Please explain why or why not.
Details: Your company is considering various locations for expansion. It is your job to check out the various areas and the friendliness for business. One of the factors of interest is the average temperature. As you start your drive, the first electronic sign you see states that the temperature is 22.0 °C. You are not very
A small home-based company produces both hand-painted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation
Adult tickets for a play cost $4 and child tickets cost $1. If there were 23 people at a performance and the theater collected $80 from ticket sales, how many children attended the play?
A = b + b+A ___ 3 Transform for b =?
We wonder if our planning can provide the level of service customers will get with one oven and one prep table. The following information should allow you to simulate operations and determine an average service time from taking the order to serving the pizza et al. Do 50 iterations. Item Time Required Probability Ordering
--What is the difference between evaluation and simplification of an expression? --3,4,5 are consecutive whole numbers. -13, -12, -11 are consecutive integers. Is it possible to write consecutive rational numbers? If yes, give an example. If not, explain why not. --How does a term differ from a factor?
If the sum r+s is less than the difference r-s, then s=?
In a car lot 9 out of every 16 cars are used cars. Of the used cars, 2 out of every 3 are less than five years old. If the number of used cars less than five years old is 24, what is the total number of cars in the lot?
A certain company makes a total of 96 ski vests each day in sizes small, medium, and large. If the number of vests made daily in the small and large sizes combined is equal to the number of vests made daily in the medium size, what is the daily production of vests in the medium size?
Car x used k gallons of gas while traveling p miles, and car Y used s gallons of gas while travleing r miles. What was the ratio of the number of miles per gallon for car X to the number of miles per gallon for car Y?
A certain map is drawn so that a distance of 0.5 inch on the map represents 12.5 miles of actual distance. If the distance between two towns is 4.5 inches on the map, what is the actual distance, in miles, between the two towns?