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Use the formula for the number of subsets of a set with n elements to solve the problem.
1. Pasta comes with tomato sauce and can be ordered with some , all, or none of these ingredients in the sauce: {onions, garlic, carrots, broccoli,shrimp, mushrooms, zucchini, green pepper}. How many different variations are available for ordering pasta with tomato sauce.
2. A village has 4 fire engines. If a radio dispatcher receives a call, depending on the nature of the situation,no engines, one engine, two engines, three engines, or all four engines can be sent to a fire . How many options does the dispatcher have for sending the fire engines to the scene of the caller?
Find the intercepts for the graph of the equation given. Find the intercepts and then use them to graph the equation. 3x+y=6.
Find the response of the system to a sinusoidal input,
Determine the elements of finite order in G_1 x G_2. Show that the free group on a set X has no elements of finite order ( other than the identity).
Suppose you have a lemonade stand, and when you charge $1 per cup of lemonade you sell 60 cups. But when you raise your price to $2 you only sell 30 cups. Write an equation for the number of cups you sell as a function of the price you charge.
Find the LCM from the following denominators
Use the product rule to simplify the expression. Write the answer in exponential notation.
Find the area of the floor
For what parameter t does the slope of the line tangent to the graph at the point correspond to the value of the parameter -5? What are the rectangular coordinates at that point?
estimate the drying time of the varnish when 3.5 grams of the chemical are added.
Need assisting in finding the equation for each of the following items below: A line that passes through (6,26) and has a slope of 3.
If A is a diagonalisable matrix and all of its eigenvalues satisfy |λ|
Determine whether each of the following sequences are arithmetic or geometric
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