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Find the area of the largest rectangle that can be inscribed in the ellipse below.
x^2/a^2 + y^2/b^2 = 1
the area of a rectangle is 991cm squared. if 991 is a prime number what are the whole number dimentions of the rectangle?
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
A researcher wants to determine if teenage drivers of red automobiles are more likely to run a red light than automobiles of any other color. She stands at a busy intersection and records the colors of automobiles which run red lights.
All of the graphs occur in real life. Find a real-life application of each graph. Relate the application to the specific graph (line, parabola, hyperbola, exponential).
Suppose you have 54 feet of fencing to enclose a rectangular dog pen. The function A = 27x - x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the neare..
To use an automated teller machine (ATM), a customer must enter his or her four-digit Personal Identification Number (PIN). How many different PINs are possible?
A boat travels 3 km upstream and 3 km back. The time for the round trip is 8 hours. The speed of the stream is 2 km per hour. What is the speed of the boat in still water?
Translate this verbal sentence into a mathematical sentence: The difference between six and twice a number is 4 more than the number.
What are the odds that a randomly selected number between 1 and 100 will not have a digit 7?
what could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse?
a ball is dropped from a bridge at an initial height of 70 meters. what is the height of the ball to the nearest tenth of a meter exactly 2 seconds after he realeases the ball? how many seconds after the ball is released will it hit the ground?
how do you calculate the burial cloth of an egyptian mummy is estimated to contain 59% of carbon-14 it contained originally. how long ago was the mummy buried? the half life of carbon-14 is 5730.
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