Solve the problem.A plumber has a 15-ft piece of PVC pipe. He needs to cut the pipe into sections -ft long. How many sections will he be able to cut from the pipe?

A. 46
B. 5
C. 45
D. 44


Answer: C

Mathematics

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Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the natural numbers and the given set. Be sure to indicate the general correspondence.{0, 3, 6, 9, 12, ...}

A.

1,2,3,4,...,  n,...
0,3,6,9,...,  3n - 3, ...

B.
1,2,3,4,...,n,...
0,3,6,9,...,  3n, ...

C.
1,2,3,4,...,n,...
0,3,6,9,...,  3n - 1, ...

D.
1,2,3,4,...,n,...
?
0,3,6,9,...,  3n + 3, ...

Mathematics

Solve the problem by integration.Find the volume of the solid that is generated by revolving the area bounded by    and  about the x-axis.

A.
B.
C.
D.

Mathematics

Provide an appropriate response.State whether the following angle pairs are complementary, supplementary, or neither: 90°, 

Fill in the blank(s) with the appropriate word(s).

Mathematics

Solve the problem.The table lists how financial aid income cutoffs (in dollars) for a family of four have changed over time. Use the midpoint formula to approximate the financial aid cutoff for 1985.

A. $20,250 B. $17,625 C. $33,375 D. $51,750

Mathematics