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Question: (a) In a group of 82 students, 59 are taking English, 46 are taking mathematics, and 12 are taking neither of these subjects. How many are taking both English and math?
(b) In a group of 97 students, the number taking English is twice the number taking math. Fifty-three students take exactly one of these subjects and 15 are taking neither course. How many students are taking math? How many are taking English?
Write an equation that represents the outside edge of the exercise ring. The equation of the outside edge of the racetrack is . Sketch the outside edge of the racetrack on the graph.
The theory of the broken chord asserts that if AB and BC make up a broken chord in a circle, where BC > AB and if M is the midpoint of arc ABC, the foot F of the perpendicular from M on BC is the midpoint of the broken chord ABC.
A set in the plane - which can now be thought of as a set of vectors
Find an equation for the material surface for t > 0 and show that its "volume" (i.e., area) is conserved. What property of the velocity guarantees that the volume must be conserved?
what is jason's rule for the numbers in his number sequence? explain how you found your answer.
For the following set, which number has the largest absolute value?
Suppose you have triangle ABC and triangle DEF, and they are similar, with a scale factor of 0.5. If the angle measures of ABC are 80°, 80°, 20°, what are the measures of the angles in DEF?
a. Determine the number of luxury cars that must be produced and sold to obtain the max profit b. Determine the max profit in dollars
You are driving to Columbia, SC and due to a traffic jam can only go 30 Mph for the first 20 miles. After that you drive the remaining 90 miles at 60 mph. Sketch a graph of distance versus time and one of speed versus time.
Adult tickets for the school play cost $5 and student tickets cost $3. Thirty more student tickets were sold than adult tickets. If $1770 was collected, how many of each type of ticket was sold?
et be a smooth parametric surface and let P be a point such that each line that starts at P intersects S at most once. Where is the radius vector from P to any point on S, r = |r|, and the unit normal vector is directed away from P.
The height, h(x), of a punted rugby ball is given by where x is the horizontal distance in feet from the point where the ball is punted. How far, horizontally, is the ball from the kicker when it is at its highest point?
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