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A square and a rectangle have the same area. The length of the rectangle is 3 meters more than the length of a side of the square. The width of the rectangle is 2 meters less than the length of a side of the square. What is the length of each side of the square?
A triangle drawn on a map has sides of lengths 9.0 cm, 10 cm, and 15 cm. The shortest of the corresponding real-life distances is 93 km. Find the longest of the real-life distances. If necessary, round your answer to the nearest unit.
Suppose you constructed a bull call spread contract using March natural gas futures (size: 10,000 MMBtu). Call premium is $0.30 for $4.20 strike price per MMBtu. Call premium is $0.25 for $4.50 strike price per MMBtu. Compute your net profit or lo..
Find the nth term of the given sequences - Write out the nth term for the continuation of the sequences
Find the altitude of a parallelepiped determined by vectors A, B, and C if the base is taken to be the parallelogram determined by A and B and
discover that a certain prescription drug has an average price of $40 for $20 pills with a standard deviation of $5. Using this information, deduce with 95% accuracy where the national average cost of 20 pills lies
A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1. Determine the other x-intercept
Linear Combinations, Basis and Transformations, 1. Given a basis B = { u1 = [1, 2], u2 = [2, 1] } for R^2, express u = [7, -2] as a linear combination of u1 and u2. How many ways can you do this?
Let B(r,t) compute the balance (in dollars) of account after t years with an r% interest rate. What are the units of dB/dr? (dB/dr is in partials notation)
Change this to the average probability of tossing heads by putting the average number of heads in a fraction over the number of coins you used in your tosses.
What is the point of the vertex? How does this number relate to your answers in parts e and f?
Use the inverse of the co-efficient matrix to solve the equation.
In the problem below, assume that the relationship can be expressed as a linear equation in two variables, and use the given information to determine the equation. Express the equation in slope-intercept form.
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