Answer:
14/29. reduced form............
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:
cost of Sam of fuel from Nanaimo to Tofino(207km) is $34.78
Step-by-step explanation:
Diatance from Nanaimo to Tofino is 207km.
Now:
fuel consume in 100km= 12L
fuel consume in 1km=12/100L
We have to find consumption of fuel in 207km.
fuel consume in 207km=12/100 × 207km
= 24.84L
Price of 1 liter= $1.40
Price of 24.84 liters=$1.40 × 24.84
=$34.78
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Answer:
Step-by-step explanation:
Let n be the number in question; then, we can write the word problem as an equation like this:
(n/4) + 1/2 = 3/4 (remember quotient means divide)
To solve, you can either deal with the fractions or multiply everything by the least common multiple of all the denominators (4, 2, 4), which is 4. Let's do that:
4(n/4) + 4(1/2) = 4(3/4)
n + 2 = 3
Subtract 2 from both sides:
n = 1
Hope this helps...
Answer:
Therefore 510 number of Sweaters can be made in 1734 meters cloth.
Step-by-step explanation:
Given:
A clothing designer had 1,734 meters of fabric to make Identical sweaters
i.e Total Cloth available = 1734 meters
Cloth use for One Sweater = 3.4 meters
To Find:
Number of Sweaters = ?
Solution:
By Unitary Method we have
For 3.4 meter cloth,
Number of Sweater = 1
Therefore for 1734 meter cloth,
Number of Sweater = ?
Therefore 510 number of Sweaters can be made in 1734 meters cloth.