Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets.
A.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
B.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
C.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
D.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
Answer: D
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Solve the equation by finding an expression for the determinant on the left, and then solving using the appropriate method.
= -10
A. ? B. {-5} C. {-4} D. {4}
Solve the problem.A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 120 in. Suppose you want to mail a box with square sides so that its dimensions are 
and its girth is 
What dimensions will give the box its largest volume?
A. 40 in. × 20 in. × 40 in.
B. 20 in. × 20 in. × 100 in.
C. 
in. × 
in. × 20 in.
D. 20 in. × 20 in. × 40 in.
In work with alternating current, complex numbers are used to describe current I, voltage E, and impedance Z. These three quantities are related by the equation E = IZ. Solve the equation E = IZ for the missing variable.I = 7 + 2i, Z = 5 + 4i
A. E = 35 + 8i B. E = 43 + 38i C. E = 27 + 38i D. E = 35 + 46i
Subtract the fractions. Write the answer in lowest terms.
- 
A. 
B. 
C. 
D. 