Solve the problem. Give the answer to the nearest thousandth if necessary.A boat travels 3 miles south and then 6 miles east. How far is the boat from its starting point?  East --6 mi-->

A. 3.354 mi
B. 6.708 mi
C. 4.5 mi
D. 22.5 mi


Answer: B

Mathematics

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Provide an appropriate response.Find  at t = 0 for the function w = sin(x) cos(y) ln(z) where x = 2t2 + 10t + , y = t, z = e7t.

A. 7e7 B. 7 C. 1 D. 14

Mathematics

Solve the given applied problem.A coffee shop has seating for 80 customers and the daily gross profit per seat is $11. If seating capacity in increased the daily gross profit on each place will be decreased by $0.07 times the number of places above 80. Find the seating capacity which will yield the greatest daily gross profit  

A. 111 B. 131 C. 114 D. 118

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Insert < or > to make the statement true.5 _____ 0

A. 5 < 0 B. 5 > 0

Mathematics

Solve the linear programming problem.A vineyard produces two special wines, a white and a red. A bottle of the white wine requires 14 pounds of grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to the production of these wines. A bottle of the white wine sells for $11.00, while a bottle of the red wine sells for $20.00. How many bottles of each type should the vineyard produce in order to maximize gross sales?

A. 42 bottles of white and 59 bottles of red B. 14 bottles of white and 132 bottles of red C. 76 bottles of white and 42 bottles of red D. 132 bottles of white and 14 bottles of red

Mathematics