Answer:
2.5 hours
Step-by-step explanation:
The product of speed and time is distance. If the distance is the same, then time is inversely proportional to speed. At 60/50 = 6/5 times the speed, the return trip will take 5/6 times the time:
(5/6)(3 hours) = 2.5 hours . . . time for return trip
The answer as a decimal is 0.32
Answer:
c) there is an efficient algorithm to test whether an integer is prime
Step-by-step explanation:
The basis of modern cryptography is the fact that factoring large numbers is computationally difficult. No algorithm is efficient for that purpose.
<h3>Choices</h3><h3>a)</h3>
False - there is no known efficient algorithm for factoring large numbers
<h3>b)</h3>
False - there are 78,498 prime numbers less than 1,000,000. That is about 8% of them--far from being "most of the integers."
<h3>c) </h3>
True - a variety of algorithms exist for testing primality. In 2002, a test was published that runs in time roughly proportional to the 7.5 power of the logarithm of the number being tested.
<h3>d)</h3>
False - there is no known efficient algorithm for factoring large numbers
Answer:
Step-by-step explanation:
If theta is in the third quadrant, draw the diagram to easily identify the other trigonometric relations:
Solve for the missing leg of the triangle, using the Pythagorean theorem:
Therefore, for the trigonometric relationships:
Now, substitute and solve for the relations:
