Solve the problem.Fermat proved that every odd prime number can be expressed as the difference of two squares in one and only one way. Express each of the first 6 odd prime numbers as the difference of two squares.
What will be an ideal response?
3 = 4 - 1
5 = 9 - 4
7 = 16 - 9
11 = 36 - 25
13 = 49 - 36
17 = 81 - 64
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Solve the problem.An invoice received from Wharf Seafood Supply is dated Jan 1. The list price of the goods is $2,712, with allowed series discounts of 20/10/10. If the cash terms are 1/15 ROG, and the goods were received Jan 15, find the amount to pay in full on Jan 28.
A. $1,739.81 B. $2,712 C. $1,491.60 D. $1,757.38
Eliminate the parameter t from the following and then sketch the graph:
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Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.
1. If ?A'B'C' is the image of ?ABC under a size transformation, then ?A'B'C' ~ ?ABC. 2. A combination of a size transformation and an isometry is a similitude. 3. If a similitude takes ?ABC to ?A'B'C' so that A'B'/AB = 5, then the ratio of the area of ?A'B'C' to the area of ?ABC is 5. 4. The reflection with respect AC to maps square ABCD onto itself.
A single card is drawn from an ordinary 52-card deck. Find the probability of getting a heart and a 10.
A) 17/52 B) 1/52 C) 1/13 D) 4/13