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A chocolate bar consists of two rows of small squares with four squares in each row as shown in (a) of the accompanying figure.
Find a polynomial R(p) that represents the total revenue when the shirts are p dollars each.
Find each of the following. You may use a calculator to replace hand calculation for row reduction and finding the characteristic polynomial.
If the company agrees to apply $500,000 to the process of cleaning up the lake, what percent of the pollution can be removed?
Gauss-Jordan Elimination process , provide complete and step by step solution.
If the length of the sandbox is designed to be 10 feet longer than the width, write a polynomial that represents the area of the sandbox.
Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years can be described by A(x) = 100e-0.01657x .
Solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.
Identify the variables and determine the system of equations. Use the Gauss-Jordan elimination method and solve the system of equations
Describe the results and comment on the difference between the MatLab output and what is expected the answer
Each of the three dimensions of a cube with sides of length s centimeters is decreased by a whole number of centimeters.
Katie converts the outside temperature from degrees Fahrenheit to degrees celsius. She uses the formula below to convert the temperature. (F-32)5/9=C
Plot the graph of the equations 3x - 8y = 5 and 4x - 2y = 11 and interpret the result.
How well do we understand how errors propagate? Consider a problem whose correct answer is x =99.89.
Verify the special theorem for the Hermitian matrix.Find the singular decomposition of
Use the results of part (a) to determine the intervals of increase and decrease of the revenue function and the price at which revenue is maximized.
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 a piece.
Civil engineers are designing a section of a highway. They need to install a storm drain at the lowest point of a curve.
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.
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.
A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals. The rancher wants the enclosed area to be 350 meters.
The distance, in feet, between the rock and the ground t seconds after the rock is thrown is given by d = -16t^2 + 16t + 45.
A manufacturer buys $20,000 worth of machinery that depreciates linearly so that its trade-in value after 10 years will be $1,000.
Similarities and differences between functions and linear equation.
Construct a graph of the time series along with the equations fitted in parts (a) and (b). Which equation appears to better fit the data?