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The length of a rectangle is 8 cm greater than its width. Find the dimensions of the rectangle if its area is 105 cm2.
point A has the cartesian coordinates of (8,5)while point Bhas the cartesian coordinate of (4,11). with point A as the origin,what would be the relative coordinates of point B?
a rectangular pen is built with one side against a barn. Two hundred meters of fencing are used for the other three sides of the pen. What dimesnsions maximize the area of the pen?
Determine the number of subsets of {ham, turkey, chicken, tomato, feta cheese, cheddar cheese, cucumbers, onions, red peppers, hot peppers }.
Solving probability problems based on normal distribution
If q is the number of quarts of lemonade , then (1/4) q can be used to find the number of cups of lemonade mix needed to make the lemonade. How much mix is needed to make each amount of lemonade.
The management of Cecilia First Bank was concerned about the potential loss that might occur in the even of a physical catastrophe such as a power failure or fire.
Factorize the given expression - Evaluate the perfect square
A gun is fired with angle of elevation 30°. What is the muzzle speed if the maximum height of the shell is 486 m? (Round the answer to the nearest whole number. g ≈ 9.8 m/s2)
Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
A wad of putty of mass 0.025 kg drops vertically onto the record from above and sticks to the edge of the record. What is the angular speed of the record immediately after the putty sticks to it?
Create a probability tree showing all marginal, conditional, and joint probabilities.
Find each of the following for the given inner product defined in R^2 =3u(subscript 1)v(subscript 1) + u(subscript 2)v(subscript 2)
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