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1: The game of Sets uses a special deck of cards. Each card has either one, two, or three identical shapes, all of the same color and style. There are three possible shapes: squiggle, diamond, and oval. There are three possible colors: green, purple, and red. There are three possible styles: solid, shaded, or outline. The deck consists of all possible combinations of shape, color, style, and number of shapes. How many cards are in the deck?
2: The coach for the Finite Baseball team has 5 good hitters and 4 poor hitters on the bench. He chooses 3 players at random for the line-up. In how many ways can he choose at least 2 good hitters?
Show that the mean value theorem applies or does not apply to the following. f(x)=sqrt(25-x^2), [-4,4]. State the conditions clearly, and, if appropriate, find the c guarenteed by the theorem.
If you put $ 2,000 in a savings account that pays 6% interest compounded continuously, how much money will you have in your account in 4 years? Assume you make no additional deposits or withdraws. A: $2,983.65 B: $2,542.50
which choice shows y2 in isolated
A polygon has an area of 100 square inches and one of its sides is 20 inches long. If a second similar polygon has an area of 36 square inches, what is the length of the corresponding side in the second polygon?
Objective questions on regression
the width of a rectangle is fixed at 19 cm. what lengths will make the perimeter greater thatn 84 cm?
Find, in the form of an in?nite series, the solution to the heat conduction problem statedat the start of the question.
a cyclist travels 90 mi in 6 hours going against the wind. She travels 114 mi with the wind in the same amount of time. What is the rate of the cyclist in still air and what is the rate of the wind?
A mirror in the shape of a paraboloid of revolution. If a light source is located 1 foot from the base along the axis of symmetry and the opening is 2 feet across, how deep should the mirror be?
How many new books of each type should be published to maximize the annual profit while conforming to company policy?
the output from a half-wave rectifier is shown in figure 1. the purpose of this circuit is to convert a sinusoidal
A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 1275 ft2.
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