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A boxing ring is in the shape of a square, 20 ft on each side. How far apart are the fighters when they are in opposite corners of the ring?
A company has an income of $100,000 before paying taxes and a bonus. The bonus B is to be 20% of the income after deducting income taxes.
Can you take any two matrices and add them, subtract them and multiply them together?Is it possible to divide two matrices?
Linear equations and constraints.The financial institution has asked your firm to place some spot advertisements
Using your home as inspiration, design a word problem that can be solved using an algebraic equation.
Algebra: linear transformations and vectors.Prove that the solution space of AX = 0, where A is a m x n matrix, is avector space.
On average you can kill 35 zombies per hour. Help is going to arrive in 15 hours, will you be overrun before the help arrives?
Multiply and simplify assume that all variables in a radicand represent positive real numbers no radicands involve negative quantities raised to even powers.
The concentration, C, in ng/ml, of a drug in the blood as a function of the time, t, in hours since the drug was administered is given by C = 16te^(-0.5t).
The equation y= -1777x+25,153 can be used to predict the number y of gun deaths in The United States x years after 2000, that is, x=0.
Solve each system by substitution. Determine whether the equations are independent, dependent, or inconsistent.
Suppose that the number of cars, C, on 1st Avenue in a city over a period of time t, in months, is graphed on a rectangular coordinate.
Gwen sold her car on consignment for x dollars. The saleswoman’s commission was 10% of the selling price and Gwen received $6570.
The path of a falling object is given by the function s = -16t^2 + v0t + s0, where represents the initial velocity in ft/sec and represents the initial height
The following table shows the height of a tree as it ages. In Excel, plot each point on the same graph where the first coordinate is the age
Find an equation of the line having the given slop and containing the given point.
The line y=0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January
Assume f(x)= 3x3 + 2x + 1 and g(x)= 3(-x +2)3 +2(-x +2) + 4. Which sequence of transformations will change the graph of f into the graph of g?
Find an equation of the tangent line to the graph of the relation given by x2 - xy +y2= 7 at the point (2, 3) .
Let's say you are a hospital dietitian. A patient must have at least 165 milligrams and no more than 330 milligrams of cholesterol per day from a diet of eggs.
f(x) = (x + 4)^1/2. An equation for the tangent line to the graph of f(x) at the point where x = 77 would be
What is the equation expressing the fact that the saddler height for Brenda is 36in?
Sales, given in thousands, for a particular company in 1990 were at 120.5 and in 2000 at 140.5, estimate the sales for the years 1997 and 2003.
Look at the graph above and comment on the sign of D or the discriminant. Form the quadratic equation based on the information provided and find its solution.
If the government gets 24% of Joe's income, then what must Joe's income be in order for him to live comfortably and pay all this bills.