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.
Changing the subject of the formula into v means expressing v in terms of the other given variables. So given the original equation, as shown below, we can rearrange it so that we have v isolated on one side.



To isolate v, we can just multiply s to both sides and come up with the final equation below.

Thus, we have v = s(1 - F/f) with v as the subject of the formula.
Answer: v = s(1 - F/f)
Answer:
m + 132
Step-by-step explanation:
A is 132 miles longer than B, whose length is m.
A = m + 132
Because there are 1000 millimeters in one meter, we can divide 1000 by 8 to see that 125 spiders that are 8mm long would fit side by side on a meter stick.
Answer:
A. 16; 36
Step-by-step explanation:
If the triangles are equal
sides QS = side TV
3v+1 = 5v-9
subtract 3v from each side
3v+1 -3v = 5v-3v-9
1 =2v-9
add 9 to each side
1+9 = 2v-9+9
10 = 2v
divide by 2
10/2 =2v/2
5=v
QS = TV = 3v+1 = 3(5)+1 = 16
<r = <u
4n+4 = 5n-4
subtract 4n from each side
4n+4 -4n = 5n-4n -4
4 = n-4
add 4 to each side
4+4 =n-4+4
8 =n
<r = <u = 4n+4 = 4*8+4 = 36