A carpenter wishes to construct an elliptical table top from a sheet of plywood, 5 ft by 10 ft. He will trace out the ellipse using the "thumbtack and string" method. What length of string should he use, and how far apart should the tacks be located if the ellipse is to be the largest possible that can be cut out of the plywood sheet?


 

What will be an ideal response?


, 10

Mathematics

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The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring, versus 2 man-hours to make one SST ring.How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $40 and on an SST ring is $30?

A. 10 VIP and 14 SST B. 14 VIP and 10 SST C. 14 VIP and 14 SST D. 12 VIP and 12 SST

Mathematics

Determine if the sequence is geometric. If the sequence is geometric, find the common ratio.3, 12, 48, 192, 768, . . .

A. yes, -4
B. no
C. yes, 4
D. yes, 

Mathematics

Provide an appropriate response.If the vertex of the graph of a quadratic function lies in quadrant II and the graph is concave up, how many x-intercepts does the graph have?

A. 2 B. 1 C. 0 D. 3

Mathematics

Add or subtract.0.41 + (-3.169)

A. -3.479 B. -2.759 C. -3.579 D. 1.299

Mathematics