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The school cafeteria has found that they go through 10 sandwiches for every 8 tickets they sell to the students. Today they have 720 sandwiches available. How many lunch tickets can they sell today?
A submarine dives at an angle of 12 degrees to the surface of the water. The submarine travels at a speed of 740 feet per minute. About how deep is the submarine after 5 minutes?
Which measurement uses absolute values?
A building 190 feet tall casts a 60 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (A..
By contracting an edge e = uv, we mean removing e and identifying the vertices u and v as a single new vertex. Let num_T(G) denote the number of spanning trees of the graph G.
A company car that has a seating capacity of eight is to be used by eight employees who have formed a car pool. If only three of these employees can drive, how many possible seating arrangements are there for the group?
Prove the parallelogram equality that is, the sum of the squares of the diagonals of a parallelogram equals the sum of the squares of its sides.
Consider an experimental procedure to measure the average volume of M&M Peanut candies. One hundred piece of the candy are poured into a graduated cylinder with a 30 diameter.
Let R ba a partial order on S, and suppose that x is a unique minimal element in S. Prove that S is finite, then xRy for all s in S
Obtain (generate) a random sample of 180 numbers between 1 and 60. You may use a calculator, excel, or a table of random numbers to achieve this. Use your sample to answer the following questions.
Express the construction cost of the box as a function of the length of its base.
Compute the general solutions of the following ordinary differential equation
A company manufactures batteries in batches of 23 and there is a 3% rate of defects. Find the variance for the number of defects per batch.
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