Answer: work is done in stretching it from 5.0in. to a length of 12.8in is 36 lb.In
Step-by-step explanation:
We know that
f(x) = kx
given that;
Natural length L = 5
x = 8.4 - 5 = 3.4
force F = 4.0 lb
f(x) = kx
we substitute
4 = k × 3.4
k = 4 / 3.4
k = 1.1764 = 20/17
Now work done from natural length to 12.8
x = 12.8 - 5 = 7.8
work done = ₀∫^7.8 f(x) dx
= ₀∫^7.8 kx dx
we substitute value of k
= ₀∫^7.8 (20/17)x dx
= 20/17 [ x²/2 ]
= 20/17 [ (7.8)²/2 - 0 ]
= 1.1764 × 30.42
= 35.786 ≈ 36 lb.In
Therefore work is done in stretching it from 5.0in. to a length of 12.8in is 36 lb.In
Answer:
8x-2y=14
Step-by-step explanation:
Answer: I think that would be 2/6 because it more then 1/6 but not quite 1/5
Step-by-step explanation:
Sorry if I am wrong
<span>21.50 + t = 23.22
t = 23.22 - 21.50
t = 1.72
answer: sales tax = $1.72</span>
Step-by-step explanation:
Let T be the event that she hot the target and W be the event that there was a gust of wind.
P(T | W) = 0.4
P(T | W') = 0.7
P(W) = 0.3
P(W') = 1 - 0.3 = 0.7
a) P(W T) = P(W) x P(T | W)
= 0.3 x 0.4
= 0.12
b) P(T) = P(W T) + P(W' T)
= 0.12 + 0.7 x 0.7
= 0.61
c) P(she hits the target exactly once in two shots) = P(hits the target on first shot and misses on the second) + P(misses the target on first shot and hits on the second)
= 0.61 x (1-0.61) + (1-0.61) x 0.61
= 0.4758
d) P(W' | T') = P(T'W')/P(T') [Bayes' theorem]
= [0.7 x (1-0.7)]/[0.7 x (1-0.7) + 0.3 x (1-0.4)]
= 0.5385