A 51 foot piece of wire is cut into 3 sections so that the first section is three times as long as the second section and the se
2 answers:
Answer:
The length of the longest section x = 36 ft
Step-by-step explanation:
Total length of the wire = 51 ft
Let first section of wire = x
Second section of wire = y
Third section of wire = z
According to given data
x = 3 y & y = 4 z
Total length of the wire = x + y + z = 51
y = 12
x = 3 × 12 = 36
Therefore the length of the longest section x = 36 ft
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Answer:
So then after 2 hours we will have 32 grams.
Step-by-step explanation:
For this case we have the followin exponential model:
n(t) is the quantity after t hours, n is the original quantityand t represent the hours and r the rate constant.
For this case we know that n(0) = 2 grams and n(3) = 128 grams and we want to find n(2)=?
From the initial condition we know that n = 2, and we have the model like this:
Now if we apply the other conditionn(3) = 128 we got:
If we divide both sides by 2 we got:
If we apply natural log for both sides we got:
And our model is this one:
And if we replace t = 2 hours we got:
So then after 2 hours we will have 32 grams.