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A pool measuring 20 meters by 24 meters is surrounded by a path of uniform width. If the area of the pool and path combined is 1596 square meters, what is the width of the path?
Let K be a normal subgroup of G, and both K and G/K are simple. Show that either K is the only nontrivial proper subgroup of G, OR G is isomorphic to K x (G/K).
The director of admissions at a large university says that 15% of high school juniors to whom she sends university literature eventually apply for admission. IN a sample of 300 persons to whom materials were sent,30 students applied for admission..
Matrice operations solve the problem
Imagine you want to add a sprinkler system and the location of one section of the sprinkler line can be described by the equation y=-1/2x-4
Use the inverse of the co-efficient matrix to solve the equation.
1. consider two structural models given by the following system of equations note these are two independent modelsmodel
Find the percent of change in altitude if a weather balloon moves from 100 ft to 103 ft. Describe the percent of change as an increase or decrease. Round to the nearest tenth if necessary.
Use the discriminant to determine how many real-number solutions the equation has. Show steps.
Also, if the variables in an equation were reversed, what would happen to the graph of the equation? This was the example I was given, how would the graph of y = x² relate to the graph of x = y²?
the perimeter of a basketball court is 276'. the length is 40' longer than the width. find the dimensions of the court.
the length of a rectangular parking lot is 10 meters less than twice its width, and the perimeter is 448 meters, find the length of the parking lot.
A boy who is 4 feet 2 inches tall stands near a street light that is 23 feet tall. Find a function that models the length L (in feet) of his shadow in terms of his distance d feet from the base of the street light.
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