Answer:
56 different tests
Step-by-step explanation:
Given:
Number of wires available (n) = 8
Number of wires taken at a time for testing (r) = 5
In order to find the number of different tests required for every possible pairing of five wires, we need to find the combination rather than their permutation as order of wires doesn't disturb the testing.
So, finding the combination of 5 pairs of wires from a total of 8 wires is given as:
Plug in the given values and solve. This gives,
Therefore, 56 different tests are required for every possible pairing of five wires.
9514 1404 393
Answer:
20 minutes
Step-by-step explanation:
The trains are separating at the rate of 80 +70 = 150 km/hour. The time required to be 50 km apart is then ...
time = distance/speed = (50 km)/(150 km/h) = 1/3 h = 20 minutes
Slope = Change in Y / change in x
Slope = (16 - -9) / (-2 - 3)
Slope = 25/-5
Slope = -5
Answer:
y = (x+3)² - 1
Step-by-step explanation:
To complete the square take the middle term b and divide by 2. Then square the value.
Here b = 6.
So 6/2 = 3
3² = 9
Add 9 to both sides of the equation.
x² + 6x + 8 = 0
x² + 6x + 9 + 8 = 9
(x+3)² - 1 = y
if it's a mix fraction, then you write 22 1/2. if improper fraction, then write 45/2
